There is a manhole cover with a radius of 1 foot. What is the manhole cover's diameter?
Answers
The diameter is twice the radius
Answer:
2 ft
Step-by-step explanation:
To find the diameter using radius, simply multiply the radius by 2.
Related Questions
9. Max's monthly electricity budget only allows him to use 250,50 kWh (kilowatt-hours). The cost for 1 kWh is R2,20. Calculate the cost of his electricity bill.
Answers
Using the given information, the cost of Max's electricity bill is R551.10
Calculating the cost of electricity billFrom the question, we are to calculate the cost of Max's monthly electricity bill
From the given information,
"Max's monthly electricity budget only allows him to use 250.50 kWh"
and
"The cost for 1 kWh is R2.20"
To determine the cost of Max's monthly electricity bill, we will multiply his monthly electricity budget by the cost for 1 KWh
That is,
Max's monthly electricity bill = 250.50 × R2.20
Max's monthly electricity bill = R551.10
Hence,
The cost of Max's monthly electricity bill is R551.10
Learn more on Calculating the cost of electricity bill here: https://brainly.com/question/11788281
#SPJ1
Use the graph below to determine the values of x
at which the function is not continuous.
Answers
Step-by-step explanation:
This graph shows a vertical asymptote at x = 0
this is where it is not continuous
Check all relationships between 1 and 2.
Answers
Both angles 1 and 2 are supplementary and linear angles.
So, options (1) and (3) are the correct options.
If consider, ∠1 and ∠2 are supplementary. If two angles form a linear pair, the angles are supplementary. A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary.
If consider complementary angles. They are equals if the two intersected lines by the transversal are parallel. In the figure, angles 1 and 2 are corresponding. The 1 is external and the 2 is internal. Angles that are on opposite sides of the transversal of two other lines.
If consider linear pair angles. The sum of angles of a linear pair is always 180 degrees. Consider the image as shown. Here angle 2 and angle 1 are said to be a linear pair because they are formed on the same line with a standard arm S and common vertex point Q. Also, the sum of angles 1 and 2 is equal to 180 degrees.
Two angles are said to be adjacent angles, if, they share a common vertex, a common side and they do not overlap. Observe the following figure to understand what adjacent angles look like. Angle 1 and 2 are adjacent because they have a common side BD and a common vertex B.
A pair of vertically opposite angles are always equal to each other. Also, a vertical angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees. For example, if two lines intersect and make an angle, say X=45°, then its opposite angle is also equal to 45°.
We can see all images.
So, that
When two lines intersect each other at a point, angles formed on the point are called as linear pair.
Since pair of linear angles is supplementary, sum of linear angles will be 180°.
m∠1 + m∠2 = 180°
Therefore, both angles 1 and 2 are supplementary and linear angles.
Options (1) and (3) are the correct options.
To learn more about angles relation visit : brainly.com/question/16105733
#SPJ9
show that the medians of the triangle with (non-colinear) vertices (a1, a2, a3) intersect at a1 a2 a3 3
Answers
The medians of a triangle connect the midpoints of each side and intersect at the centroid of the triangle.
Medians of a triangle are lines that connect the midpoints of each side of the triangle to the opposite vertex. This means that they divide the triangle into two halves, each with an area that is equal to half of the area of the entire triangle. The medians of a triangle with vertices (a1, a2, a3) intersect at a point known as the centroid of the triangle, which is located at the intersection of the three medians. The centroid can be found by taking the average of the three vertices, or by finding the intersection of the three medians. The centroid is the point at which the three medians of the triangle intersect and is the center of gravity for the triangle. In other words, it is the point that all three medians will intersect at.
Learn more about median here
https://brainly.com/question/28060453
#SPJ4
jason drove for three hours at an average speed of 55 miles per hour how far did he go?
Answers
Answer: 165 miles
Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.
Answer:
The answer is 165miles
Step-by-step explanation:
\(distance = speed \times time\)
d=55×3
d=165 miles
What type of association does the graph show?
A. positive nonlinear
B. positive linear
C. negative nonlinear
D. negative linear
Answers
Answer:
B. Positive linear
Step-by-step explanation:
First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive
Please help me I’m been trying to do this for 30 mins
Answers
Answer:
a triangle's angle will always sum up to 180°
In question 7, you can easily find X by first adding 36 + 36. This sums up to 72°. Now you have to subtract 72° from 180°. X = 108°
For question 9, X = 132°
Question 8, X = 58°>
Hope this helps
Answer:
Question 7: m∠ x° = 108°
Question 8: m∠ x° = 48°
Question 9: m∠ x° = 8°
Step-by-step explanation:
Regardless of the type of triangle you are dealing with, always remember that the sum of the measures of any triangle is 180°.
Question 7Given the two angles of a triangle: ∠36° and ∠36°, then it means that m∠ x° is:
m∠ x° = 180° - 36° - 36°
m∠ x° = 108°
Therefore, the value of x = 108°. Since two of its angles have the same measure of 36°, then it means that the given triangle is an isoceles triangle. Also, since once of its angles has a measure that is greater than 90°, then the triangle is also an obtuse triangle. In other words, the given triangle is an obtuse isoceles triangle.
Note:
Another way of solving question 7 is to add the two given measures of angle and subtract their sum from 180°.
Question 8Simiar to question 7, you could simply add the two given measures of a triangle, °42 and 90°, and subtract their sum from 180° to find the value of x.
m∠ x° = 180° - (42° + 90°)
m∠ x° = 180° - 132°
m∠ x° = 48°
Therefore, the value of x = 48°. Since one of its angles has a measure of 90°, then it means that it is a right triangle. Also, since none of its angles have the same measure, then it means that the given triangle is a scalene triangle. In other words, the given triangle is a scalene right triangle.
Question 9The easiest way of solving this given problem is to solve for x algebraically. We can set up the following equation to solve for x:
180° = m∠ x° + m∠ 126° + m∠ 22°
180° = 4x° + 126° + 22°
180° = 4x° + 148°
Subtract 148° from both sides:
180° - 148° = 4x° + 148° - 148°
32° = 4x°
Divide both sides by 4 to solve for x:
32°/4 = 4x°/4
8 = x
Hence, the value of x = 8°. Verify whether we have the correct value for x by substituting its value to the equation:
180° = 4x° + 126° + 22°
180° = 4(8)° + 126° + 22°
180° = 32° + 126° + 22°
180° = 180° (True statement).
Since none of the three angles have the same measure (scalene), and that one of the angles is greater than 90° (obtuse). Therefore, the given triangle is an obtuse scalene triangle.
3 9/10 is the same as the sum of 3 1/3 and half of a number
Answers
ten percent of 140,000 = ?
Answers
Answer:
14000
Step-by-step explanation:
Of means multiply
10% * 140000
Change to decimal form
.10 * 140000
14000
Answer:
\(14000\)
Step-by-step explanation:
\(10\% \times 140000\)
\(\mathrm{Apply} \: a\% = \frac{a}{100}\)
\(\frac{10}{100} \times 140000\)
\(\mathrm{Apply} \: \frac{a}{100} \times b = \frac{ab}{100}\)
\(\frac{1400000}{100}\)
\(\mathrm{Simplify.}\)
\(\frac{14000}{1} =14000\)
The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.5 psi, it will be considered equivalent to the standard. A random sample of 50 insulators is available, and the sample mean and standard deviation of breaking strength are 9.32 psi and 0.21 psi, respectively. a. State the appropriate hypotheses that must be tested to demonstrate equivalence.
Answers
Answer:
H0: u ≥ 9.5
Ha: u < 9.5
Step-by-step explanation:
The null hypothesis and the alternate hypothesis are reverse of each other.
The claim is either set as the null or alternate hypothesis
The null hypothesis is : H0: u ≥ 9.5 the mean breaking strength of a ceramic insulator is at least 9.5 which is considered equivalent to the standard.
The alternate hypothesis is: Ha: u < 9.5 the mean breaking strength of a ceramic insulator is less than 9.5 which is not considered equivalent to the standard.
Pls answer question b tyyy also pls simplify if possible
Answers
Answer:
9/5 + 9/4 = 81/20
= 4 1/20
= 4.05
Step-by-step explanation:
81/20 is the smallest it gets as a fraction I believe
and A. should be 5/4 if i'm not mistaken
Answer:
a) 1 1/4 or b) 4 1/20
Step-by-step explanation:
a) This one is the easier of the two. 7/8+3/8= 10/8 ---» 1 2/8 and 2/8 is 1/4. So 1 1/4.
b) This one is a bit more tricky. You need to find a common denominator between the two, in this case we can use 20.
9/5 ---» 36/20 and 9/4 ----» 45/20.
Do some adding and you get 81/20 ---» 4 1/20.
Hope this helped!
The graphs of which functions are increasing in value as they approach both minus infinity and positive infinity? Select all that apply. Select all that apply: f(x)=5x6 f(x)=−4x8
f(x)=−2x3+7x+10
f(x)=10x4+6x3−7x2+9
f(x)=7x8−9x6−12x+46
f(x)=6x3+7x2+5x−34
Answers
Required correct functions are f(x)=5x⁶, f(x)=10x⁴+6x³−7x²+9, f(x)=7x⁸−9x⁶−12x+46
What is function?
In mathematics, a function is a rule that assigns a unique output (value) for each input (value) in a given domain. A function can be thought of as a machine that takes in a number (or other mathematical object) as input and produces another number (or object) as output.
Functions are commonly denoted using notation such as f(x) or g(y), where f and g represent the function and x and y represent the input values. The domain of a function is the set of all possible input values, while the range is the set of all possible output values.
Here,
The functions that are increasing in value as they approach both negative and positive infinity are the ones that have a positive leading coefficient and an even degree or a negative leading coefficient and an odd degree.
Therefore, the functions that meet these conditions are:
f(x)=5x⁶(even degree, positive leading coefficient)
f(x)=10x⁴+6x³−7x²+9 (even degree, positive leading coefficient)
f(x)=7x⁸−9x⁶−12x+46 (even degree, positive leading coefficient)
Therefore, the correct answers are:
f(x)=5x⁶
f(x)=10x⁴+6x³−7x²+9
f(x)=7x⁸−9x⁶−12x+46
Learn more about function here,
https://brainly.com/question/2833285
#SPJ1
Find the missing length indicated x=
Answers
Using the concept of proportions and ratios on the similar triangles, the value of x is 48 units
What are similar triangles?Similar triangles are triangles that have the same shape but may differ in size. They have corresponding angles that are equal and corresponding sides that are proportional. In other words, the ratios of the corresponding sides of similar triangles are equal.
The concept of similar triangles is based on the fundamental property that corresponding angles in similar shapes are equal, and the corresponding sides are proportional.
To determine the value of x, we can apply the concept of proportions and ratio on the similar triangle;
x / 36 = 64 / x
Cross multiplying both sides
x * x = 36 * 64
x² = 2304
x = √2304
x = 48 units
Learn more on similar triangle here;
https://brainly.com/question/14285697
#SPJ1
The CEO of Millennium Dairy Product, a small venture among 10 partners each having 100,000 shares, sought to raise an additional Rs.50 million in a private placement of equity in his early stage dairy product company. The CEO conservatively projected net income of Rs.50 million in year 5, and knew that the comparable companies traded at a price earnings ratio of 20X. She approached SBI caps, a venture capitalist with her proposal to seek funds. (10) a) What share of the company would SBI caps require today if their required rate of return was 50%? b) If the company had 1000,000 shares outstanding before the private placement, how many shares should SBI caps purchase? c)What price per share should she agree to pay if her required return was 50%? d)What are the pre money and post valuations? e) What are the Carried interests of the VC and the promoters?
Answers
Answer:
Millennium Dairy Product
a) Share of the company that SBI Caps should require today to get a required rate of return of 50%.
= 50%
b) If the company had 1,000,000 (100,000 x10) shares outstanding before the private placement, SBI Caps should purchase
1,000,000 shares = 50% of (1,000,000 + 1,000,000) shares
Assuming the founding promoters are not giving up their shares, instead, new equity shares are being issued.
c) The price per share SBI Caps should agree to pay, if her required return was 50% is
Rs.50 per share, which will provide the required additional equity financing of (Rs.50 million) since Rs.50 x 1,000,000 equals Rs.50 million.
d) Pre money and post money valuations:
These are based on the calculated Market Price of Rs.1,000 per share from the Price/Earnings Ratio.
Pre money valuation will be Rs.1,000 x 1,000,000 shares = Rs.1 billion
Post money valuation will be Rs.1,000 x 2,000,000 shares = Rs.2 billion
e) Carried interests of the VC and the promoters
VC's carried interest = share of profits = 50% xRs.50 million = Rs.25 million
Promoters' carried interest = Rs.25 million
Step-by-step explanation:
a) Calculation of share in the company:
SBI Cap's required rate of return is 50%
If she invests Rs.50 million today, her expected return will be equal to Rs.50 million x 50% = Rs.25 million
Since rate of return = Net Income/Initial Investment or (Current value of investment - Initial Investment)/Initial Investment.
This return will be equal to 50% of the total net income of Rs.50 million
b) Price/Earnings P/E ratio = Market price per share/Earnings per share (EPS)
Since P/E ratio of similar companies = 20 times,
The company's P/E = 20 times x EPS
With calculated EPS = Rs.50 million /1,000,000 = Rs.50
Therefore, price per share = 20 x Rs.50 = Rs.1,000
Pre money valuation = Rs.1,000 x 1 million shares = Rs.1 billion
Post money valuation = Rs.1,000 x 2 million shares = Rs.2 billion
c) The carried interest is the share of profits to which the promoters and the Venture Capitalists are entitled. Their respective shares are 50% of the net income = Rs.25 million each.
d) The pre money and post money valuations: The pre money valuation is the valuation of the company before the additional equity financing. The post money valuation is the valuation of the company after the additional equity financing. There are many ways to value a company. In this case, we have used the P/E ratio as a basis for the valuation. However, we did not dilute the earnings per share post money, for simplicity.
Which of the following sets of ordered pairs represents a function?
{(−3, −3), (−2, −2), (−1, −1), (0, 0), (1, 1)}
{(−3, −3), (−3, −2), (−3, −1), (−3, 0), (−4, −1)}
{(−3, −3), (−3, −1), (−1, −2), (−1, −1), (−1, 0)}
{(−3 −3), (−3, 0), (−1, −3), (0, −3), (−1, −1)}
Answers
The 1st one/Top one.
X value is different each time. Function can have the same y-value (3, 1), (2, 1) but can't have the same x-value (3, 1) (3, 3)
What is the unit price of a 2 1/2 pound turkey for $6.25
Answers
Answer:
$2.50
Step-by-step explanation:
6.25/2.5=2.5
A newspaper editor wants to investigate whether the residents of two
counties support the proposal to build a wind farm. She plans to take an
SRS of 30 residents from the southern county and 40 residents from the
northern county, then look at the difference (southern - northern)
between the proportions of residents that support the proposal in each
sample. Suppose that 65% of the residents of the southern county and
52% of the residents of the northern county approve.
What are the mean and standard deviation of the sampling distribution of
the difference in sample proportions?
Answers
The mean of the sampling distribution of the difference in sample proportion is 0.13
The SD is given as 0.13 and option D is correct.
What is Standard Deviation?Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It is a widely used statistic in probability and statistics that helps to quantify the average distance of individual data points from the mean (average) of the data set.
A small standard deviation indicates that the data points are closely clustered around the mean, while a large standard deviation implies that the data points are more spread out.
Read more about standard deviation here:
https://brainly.com/question/24298037
#SPJ1
HELP with this problem please
Answers
Answer: 2
Step-by-step explanation:that is the one that is used the most?
7 Nevaeh shares 8 candy bars equally among
her 12 friends. Which expressions can be
used to determine the part of the candy bars
each friend receives?
Answers
Answer: 8 / 12 = x
Step-by-step explanation:
:D Hope its right
Li is comparing 43.94 and 43.52. Which place value should she use to compare the two numbers?
tens
hundredths
O tenths
ones
Answers
Natalie is selling fruit at the Saturday market. She has a
otal of 48 pears that she wants to sell. She makes bags of
pears and sells them for $5 per bag. In which equation
oes b represent the number of bags of pears?
Answers
If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:
b = total_number_of_pears / pears_per_bag
In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.
Given that Natalie has a total of 48 pears, we can substitute the value into the equation:
b = 48 / pears_per_bag
Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.
Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:
b = 48 / 4
Simplifying the equation gives:
b = 12
So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.
For more such questions on sell visit:
https://brainly.com/question/24951536
#SPJ8
NO LINKS!! URGENT HELP PLEASE!!!
Express the statement as an inequality
d. d is between 2 and 1
1. d < 1 < 2
2. 1 < d < 2
3. 1 < 2 < d
4. 2 ≥ d ≥ 1
5. 1 ≤ d ≤ 2
e. t is not less than 5
1. t > 5
2. t < 5
3. t = 5
4. t ≥ 5
5. t ≤ 5
f. The negative of z is not greater than 4
1. -z < 4
2. z ≤ -4
3. z ≤ 4
4. z < 4
5. -z ≤ 4
Answers
Answer:
d. 1 < d < 2
e. t ≥ 5
f. -z ≤ 4
Step-by-step explanation:
Answer:
d. 5. 1 ≤ d ≤ 2
e. 4. t ≥ 5
f. 1. -z < 4
Step-by-step explanation:
d. d is between 2 and 1
The statement "d is between 2 and 1" means that d is greater than 1 and less than 2. We can represent this using the inequality 1 < d < 2. However, the answer choices do not match this exact form of inequality. To rephrase the inequality in a way that matches the answer choices, we can use the logical "and" operator to combine two inequalities: d is greater than or equal to 1, and d is less than or equal to 2. This gives us the inequality 1 ≤ d ≤ 2, which is answer choice 5.
e. t is not less than 5
The statement "t is not less than 5" means that t is greater than or equal to 5. This can be represented using the inequality t ≥ 5, which is answer choice 4.
f. The negative of z is not greater than 4
The statement "the negative of z is not greater than 4" means that -z is less than or equal to 4. We can represent this using the inequality -z ≤ 4, which is answer choice 2. However, the question does not include an answer choice for -z < 4, which is also true based on the statement.
can someone help me with this question?l
Answers
Answer:
1. 32x³ - 25x² + 35x2. 6x - 11y + 14z - 7Step-by-step explanation:
1).(4x³ - 5x² + 3x ) - 4(5x² - 7x³ - 8x)
Remove the brackets and simplify.
We have
4x³ - 5x² + 3x - 20x² + 28x³ + 32x
Group like terms and simplify
That's
4x³ + 28x³ - 5x² - 20x² + 3x + 32x
We have the final answer as
32x³ - 25x² + 35x2).- 3 - ( 4x + 3y - 2z ) - 4 + 2( 5x - 4y + 6z)
Remove the brackets and simplify
That's
- 3 - 4x - 3y + 2z - 4 + 10x - 8y + 12z
Group like terms and simplify
- 4x + 10x - 3y - 8y + 2z + 12z - 3 - 4
We have the final answer as
6x - 11y + 14z - 7Hope this helps you
2. Which of the following is considered an
asset?
A Savings account
B Credit card debt
C Personal loan
D Mortgage
Answers
Answer:
A
Step-by-step explanation:
All of the rest you have to pay off. A savings account is a good place to keep money safe for the future, and you can also make interest.
Oliver and Chen both write down a number. Oliver says, my number has 8 hundreds and Chen's number only has 3 hundreds my number must be bigger. Oliver is not correct. explain why
Answers
Oliver's number is bigger than that of Chen.
What are hundreds in a number?It is a number equal to 10 times 10.
Given is that Oliver and Chen both write down a number. Oliver says, my number has 8 hundreds and Chen's number only has 3 hundreds, my number must be bigger.
Oliver number can be written as follows -
8 x 10 x 10
Chens number can be written as follows -
3 x 10 x 10
It can be concluded that Oliver's number is bigger than that of Chen.
Therefore, Oliver's number is bigger than that of Chen.
To solve more questions on ones and hundreds, visit the link below
https://brainly.com/question/29255057
#SPJ9
A math textbook has 6 pages of instruction for every 2 pages of practice problems. How many pages of instruction does it have for every page of practice problems
Answers
Answer:
The answer is 3
Step-by-step explanation:
Here's my explanation. So all you have to do is divide 6 by 2 and we ALL KNOW FOR AFACT what 6/2 right? And its 3 so there ya go!!!
Out of-pocket spending in a country for health care increased between 2003 and 2008. The function fox)-2574models average annual expenditures per household, in dollars. In this model, x represents the year, where x 0 corresponds to 2003 (a) Estimate out-of-pocket household spending on health care in 2008 (b) Determine the year when spending reached $2875 per household (c) The total expenditures per household in the year 2008 were approximately S (Round to the nearest dollar as needed.)
Answers
Answer:
(a) The total expenditures per household in the year 2008 were approximately $3,080.
(b) The spending reached $2875 per household in 2006.
Step-by-step explanation:
Note: This question is not complete, and the part c is not another question but the same question as part a. The complete question is therefore provided before answering the question as follows:
Out of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2574e^(0.0359x) models average annual expenditures per household, in dollars. In this model, x represents the year, where x = 0 corresponds to 2003.
(a) Estimate out-of-pocket household spending on health care in 2008.
(b) Determine the year when spending reached $2875 per household
The explanation to the answer is now given as follows:
(a) Estimate out-of-pocket household spending on health care in 2008.
Given;
f(x) = 2574e^(0.0359x) ........................ (1)
Since x = 0 corresponds to 2003; by counting from 2003 to 2008, it implies that x = 5 corresponds to 2008.
Substituting x = 5 into equation (1) to estimate out-of-pocket household spending on health care in 2008, we have:
f(6) = 2574e^(0.0359 * 5)
f(6) = 2574 * 1.19661890406748
f(6) = 3,080.09705906969
Rounding to the nearest dollar as needed, we have:
f(6) = $3,080
Therefore, the total expenditures per household in the year 2008 were approximately $3,080.
(b) Determine the year when spending reached $2875 per household
This can be determined using equation (1) in part a by equating f(x) to $2875 solve for x as follows:
2875 = 2574e^(0.0359x)
2875 /2574 = e^(0.0359x)
1.11693861693862 = e^(0.0359x)
Taking the natural log of both sides, we have:
ln(1.11693861693862) = ln(e^(0.0359x))
0.110591565075382 = 0.0359x
x = 0.110591565075382 / 0.0359
x = 3.0805449881722
Approximating to a whole number, we have:
x = 3
Since x = 0 corresponds to 2003; by counting from 2003, x = 3 corresponds to 2006.
Therefore, the spending reached $2875 per household in 2006.
An exponential model can be found when two data points from the model are known.
The total expenditures per household in the year 2008 were near $3,080.
The spending reached $2875 per household in year 2006
(a). Out of-pocket spending in a country for health care given by function, \(f(x) = 2574e^{0.0359x}\)
Since \(x = 0\) corresponds to 2003, Similarly, x = 5 corresponds to 2008.
Substituting x = 5 into above function to estimate out-of-pocket household spending on health care in 2008
\(f(5) = 2574e^{0.0359*5} \\\\f(5)=3080\)
f(5) = $3,080
Therefore, the total expenditures per household in the year 2008 were approximately $3,080.
(b). To determine the year when spending reached $2875 per household
\(2875 = 2574e^{0.0359x} \\\\2875/2574=e^{0.0359x} \\\\1.1169=e^{0.0359x}\)
Taking natural log on both side
\(x=\frac{ln(1.1169)}{0.0359} =3.07\)
Since x = 0 corresponds to 2003, So x = 3 corresponds to 2006.
Therefore, the spending reached $2875 per household in 2006.
Learn more:
https://brainly.com/question/12375190
Write the equation of the line that passes through the points (-9, -8) and (–6,6).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answers
Answer:
Slope - intercept form \(y = \frac{14}{3} x + 34\)
Step-by-step explanation:
Explanation:-
Given points are ( -9 ,-8 ) and (-6,6)
slope of given two points
\(m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{6-(-8)}{-6-(-9)} = \frac{14}{3}\)
The equation of the straight line passing through the points and having slope
\(y - y_{1} = m ( x - x_{1} )\)
\(y - (-8) = \frac{14}{3} ( x - (-9) )\)
3 y + 2 4 = 14 x + 126
3 y = 14 x + 126 - 24
3 y = 14 x + 102
\(y = \frac{14}{3} + \frac{102}{3}\)
\(y = \frac{14}{3} x + 34\)
Slope - intercept form y= mx +C
Slope - intercept form \(y = \frac{14}{3} x + 34\)
Which situation(s) has (have) a net result of zero?
Select ALL that apply.
The temperature was -5 °F and fell 5 degrees.
O Rich owed Peter $3 then spent $3.
A plane reaches an altitude of 15,000 feet then descends
15,000 feet.
D
Combine two atoms each with a charge of negative 2 and one atom
with a charge of positive 4.
D
Stephen deposited $100 in his bank account then bought a $100
coat.
Tameka drove from a city with an elevation of 39 feet to a city with
an elevation of 78 feet.
Answers
The situations that have a net result of zero are:
Rich owed Peter $3 then spent $3.Combine two atoms each with a charge of negative 2 and one atom with a charge of positive 4.Which situation(s) has (have) a net result of zero?The first situation results in a debt of $3 and then payment of $3, which cancels out the debt.
The second situation involves combining three atoms with a total charge of zero (2 atoms with a charge of negative 2, and 1 atom with a charge of positive 4).
Learn more about net result of zero here:https://brainly.com/question/30202590
#SPJ1
WILL GIVE BRAINLIEST. Just fill in the blanks
Answers
Answer:
a) 5
b) 3
c) 1
d) -1
Step-by-step explanation:
Solution Steps:
______________________________
1.) To figure out y, you have to plug in the x value into the equation given:\(y=-2(-1)+3\)
Multiply −2 and −1 to get 2. Add 2 and 3 to get 5. \(y=5\)2.) To figure out y, you have to plug in the x value into the equation given:\(y=-2(0)+3\)
Multiply −2 and 0 to get 0. Add 0 and 3 to get 3. \(y=3\)3.) To figure out y, you have to plug in the x value into the equation given:\(y=-2(1)+3\)
Multiply −2 and 1 to get −2. Add −2 and 3 to get 1. \(y=1\)4.) To figure out y, you have to plug in the x value into the equation given:\(y=-2(2)+3\)
Multiply −2 and 2 to get −4. Add −4 and 3 to get −1. \(y=-1\)______________________________