Write the equation of the line in slope-intercept from (y=Mx+b) given:
Consider the graph of the function f(x) =
= 10^x
What is the y-intercept of function gif g(x)
=4f(x) + 12
Answer:
(0,8)
Step-by-step explanation:
Let X be 0 and solve for Y to get the intercept
y= - 4(\(10^{x}\)) + 12
y= - 4 * \(10x^{0}\) + 12
y= - 4 * 1 + 12
y= - 4 + 12
y=8
when x=0, y=8
(0,8) is y intercept
The y-intercept of the given function is (0,8).
We have given that,
The graph of the function f(x) = 10^x
The y-intercept of function gif g(x)=4f(x) + 12
What is the intercept?
The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Let X be 0 and solve for Y to get the intercept
\(y= - 4(10^x) + 12\)
\(y= - 4 (10^0) + 12\)
\(y= - 4 * 1 + 12\)
\(y= - 4 + 12\)
\(y=8\)
when x=0, y=8
The y-intercept of the given function is (0,8).
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Help aspp please thank you show ur work if you like
Driving from North Carolina to Florida at an average speed of 70 mph takes about 7 hours and 12 minutes.
What is speed?Velocity is a term used to describe how fast an object is moving in a particular direction. It is measured as distance traveled in a period of time and is usually expressed in units of meters per second (m/s). Velocity is an important concept in physics and is used to calculate how fast an object moves in a given environment. Velocity is related to speed, which is the rate of change of distance in a particular direction. Speed is an important factor in many sports and activities such as running, cycling and driving. It is also used in different ways in our daily life. For example, it is used to determine how fast a car can go from A to B, or how long it will take to walk to a destination.
Speed = Distance/Time
55 = Distance/9
Distance = 495 miles
When speed is 70 mph:
70 = 495/Time
Time = 495/70
Time = 7 hours and 12 minutes
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In a Stock Dividend Multiple Choice Assets increase, Liabilities decrease. Assets decrease, Liabilities increase. Assets increase, Liabilities increase. Assets decrease, Liabilities decrease. Assets don't change, Liabilities don't change.
In a Stock Dividend Assets don't change, Liabilities don't change.
In a stock dividend scenario, where a company issues additional shares of its own stock to existing shareholders, the impact on the company's balance sheet is as follows:
Assets don't change, Liabilities don't change.
When a company declares a stock dividend, it is essentially distributing a portion of its retained earnings or accumulated profits to its shareholders in the form of additional shares. This means that the company is not receiving any new assets or incurring any new liabilities in the process.
From an accounting perspective, the value of the stock dividend is reflected in the equity section of the balance sheet. The retained earnings account decreases by the value of the dividend, while the common stock or additional paid-in capital account increases by the same value. This adjustment does not affect the company's assets or liabilities.
Therefore, the correct answer is: Assets don't change, Liabilities don't change.
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Directions: Indicate product of FOIL for the problem:
(x-2)(x+2)Last
ty <33
Answer:
x^2 -4
Step-by-step explanation:
(x-2)(x+2)
We want to FOIL
First x*x = x^2
Outer x*2 =2x
Inner -2 *x = -2x
Last -2*2 = -4
Add them together
x^2+2x-2x-4
Combine like terms
x^2 -4
What is the estimate sum of 208
Answer:
210
Step-by-step explanation:
Round the 208. 8 is closer to 10. so, it would ultimately round up to 210
A function is in the form g(x) = x2 + d. If d < 0, which could be the graph of g(x)?
Answer:
Please refer to the attached image for a possible graph of given equation.
Step-by-step explanation:
Given the equation:
\(g(x) = x^2 + d\)
Let us write the equation as:
\(y = x^2 + d\) so that we can plot it on xy axis.
The highest power of x is 2.
The given equation resembles with the equation of a parabola.
The vertex form of a parabola is given as:
\(y = a(x - h)^2 + k\)
Here (h,k) is the vertex of parabola.
Vertex of the parabola is the point on the axis of symmetry and is the highest or the lowest point on parabola.
Now, let us compare the given equation of parabola with the standard vertex form of parabola. We get the following values:
a = 1 > 0 hence, parabola will open upwards.
h = 0
k = d
So, the vertex is at O (0,d). It means vertex will be on the y axis.
Now, we are given that d < 0 that means the vertex will be on negative y axis.
Now, let us suppose d = -8, the graph will be as attached in the answer area. Please have a look.
Answer:
yo ma
Step-by-step explanation:
because
a man finds 1 hundred dollars and he keeps one half of it, gives 1 fourth if it to someone and and gives another 1 fifth of it to some else and he puts the rest in savings. how much did he give everyone
solve the equation. x^2+49=0
a.) no real solution.
b.) x= 7
c.) x= -7
d.) x= -7 and x= 7
Answer:
C
Step-by-step explanation:
-7 squared is -49, -49 plus 49 is 0.
HURRY !!!!!!!!!! Which choices correctly describe reflections in the diagram? Check all that apply. On a coordinate plane, triangle A is reflected across the x-axis to form triangle D. Triangle D is reflected across the x-axis to form triangle C. Triangle D is reflected across y = x to form triangle B. The red triangle A is reflected across the x-axis onto triangle B. The red triangle A is reflected across the y-axis onto triangle D. The blue triangle D is reflected across the x-axis onto triangle C. The blue triangle D is reflected across the line y = x onto triangle B. The green triangle C is reflected across the line y = –x onto triangle A.
Answer:
I believe the answers are 2,3, and 4.
Step-by-step explanation:
You are the lucky winner because you have found this answer. Have a good day.
The red triangle A is reflected across the y-axis onto triangle D, the blue triangle D is reflected across the x-axis onto triangle C and the green triangle C is reflected across the line y = –x onto triangle A. Then the correct options are B, C, and E.
What is a transformation of a shape?A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.
The reflection does not change the shape and size of the geometry. But flipped the image.
Let's check all the options. Then we have
A.The red triangle A is reflected across the x-axis onto triangle B. Incorrect, because the orientation is different.
B.The red triangle A is reflected across the y-axis onto triangle D. Correct.
C.The blue triangle D is reflected across the x-axis onto triangle C. Correct.
D.The blue triangle D is reflected across the line y = x onto triangle B. Correct, because the orientation is different.
E.The green triangle C is reflected across the line y = –x onto triangle A. Correct.
The red triangle A is reflected across the y-axis onto triangle D, the blue triangle D is reflected across the x-axis onto triangle C and the green triangle C is reflected across the line y = –x onto triangle A. Then the correct options are B, C, and E.
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The missing diagram is given below.
How many grains of sand are there in 6,300 kg of sand?
(only need an answer to the second part)
When one grain of sand weighs 7×10⁻⁵ g, then there are 9.0 × 10¹⁰ grains of sand in 6300 kg of sand.
Given, one grain of sand approximately weighs 7×10⁻⁵ g.
Then how many grains of sand are there in 6300 kg of sand = ?
we know that one grain of sand weighs = 7×10⁻⁵ g.
therefore, 6300 kg = 6300 × 10³ g sand contains
= 6300 × 10³/7×10⁻⁵
= 900×10³/10⁻⁵
= 900 × 10³ × 10⁵
= 9.00 × 10² × 10³ ×10⁵
= 9.0 × 10²⁺³⁺⁵
= 9.0 × 10¹⁰
Hence there are 9.0 × 10¹⁰ grains of sand in 6300 kg of sand.
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You are told that in a sample of size 225 the mean is 48. 5 and the standard deviation is 1. 8. The study is reported with 90% confidence level. Explain how to determine if 48. 8 is within the confidence interval.
whats the answer to this question
Answer:
X and y answer is 45 degrees
Answer:
x = 20, y = 70 degrees.
Step-by-step explanation:
x + y = 90 degrees ( As the large triangle is right-angled).
Now x is the base angle of an isosceles triangle so the small angle that is part of the right angle = x. Call this angle z.
Consider the small triangle which includes 40 degrees:
y + 40 + 90 - z = 180 But as z = x:
y + 130 - x = 180
y - x = 50
Adding the equation to the highlighted equation above we have:
2y = 90 + 50
2y = 140
y = 70 degrees.
So x + 70 = 90
giving x = 20 degrees.
using the smallest number of pebbles possible and without using blue pebbles, what is the value in pebbles of 2 blue pebbles?
According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.
According to the statement
We have to find that the value of the combination.
So, For this purpose, we know that the
A combination could be a mathematical technique that determines the quantity of possible arrangements in an exceedingly collection of things where the order of the choice doesn't matter.
From the given information:
A red pebble is capable 3 yellow pebbles. A blue pebble is adequate a red pebble and a couple of yellow pebbles. Therefore, the blue pebbles will be:
= 3 yellow pebble + 2 yellow pebbles
= 5 yellow pebbles or 15 red pebbles
And
Two blue pebbles will be:
= 10 yellow pebbles
= 3 red pebbles and 1 yellow pebbles.
So, According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.
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Disclaimer: This question was incomplete. Please find the content below.
Question:
A red pebble is equal to 3 yellow pebbles A blue pebble is equal to a red pebble and 2 yellow pebbles. A green pebble is equal to 3 red pebbles
Using the smallest number of pebbles possible and without using blue pebbles, what is the value in pebbles of 2 blue pebbles?
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In circle M secants overline PAMD and overline PBC are drawn from point P such that m arc BM=100 and m arc CD=62. Which of the following is the measure of angle P?
1) 19
2) 22
3) 34
4) 40
for what values of x does 5x^2+4x-4=0
Answer: See explanation
Step-by-step explanation:
x=-(2-2*the square root of 6)/5, about 0.58
or
x=-(2+2*the square root of 6)/5, about -1.38
The values of the x from equation \(5x^2+4x-4=0\) are x = 0.5798 and -1.38.
Given that:
Equation: \(5x^2+4x-4=0\)
To find the values of x that satisfy the equation \(5x^2+4x-4=0\), use the quadratic formula:
\(x = \dfrac{ -b \± \sqrt{b^2 - 4ac}}{ 2a}\)
Compare the equation with \(ax^2 + bx + c = 0\).
Here, a = 5, b = 4, and c = -4.
Plugging in the values to get,
\(x = \dfrac{-4 \± \sqrt{4^2 - 4 \times 5 \times (-4)}}{2 \times 5} \\x = \dfrac{-4 \± \sqrt{16 +80}}{10} \\x = \dfrac{-4 \± \sqrt{96}}{10}\\x = \dfrac{-4 \± {4\sqrt6}}{10}\)
So the solutions for x are calculates as:
Taking positive sign,
\(x = \dfrac{-4 + {4\sqrt6}}{10}\\x = \dfrac{-4 + {9.798}}{10}\\\)
x = 5.798/10
x = 0.5798
Taking negative sign,
\(x = \dfrac{-4 - {4\sqrt6}}{10}\\x = \dfrac{-4 - {9.798}}{10}\\\)
x = -13.798/10
x = -1.38
Hence, the exact solutions for the equation \(5x^2 + 4x - 4 = 0\) are x = 0.5798 and -1.38.
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The breakfast special served at Pancake Heaven includes 2 eggs and 1 waffle. Last week, 333 people were served the breakfast special. Based on that amount, how many eggs are needed for the number of breakfast specials that will be served during a 1-year period (52 weeks)?
may someone solve this please and show work, thank u
Answer:
minutes took to finish the race = 54 minutes
Step-by-step explanation:
It's known that:
\(speed = \frac{distance}{time}\)
then:
\(time = \frac{distance}{speed}\)
IN THE 1ST 10 MILES:
time = \(\frac{10}{25} = \frac{2}{5} = 0.4 hours\)
IN THE 2ST 10 MILES:
time = \(\frac{10}{20} = 0.5 hours\)
Hence, Overall time took to finish the race = 0.4 + 0.5 = 0.9 hours
time in minutes = 0.9 × 60 = 54 minutes
Another Solution:
Overall speed = \(\frac{S_1 + S_2}{2}\), Where: S1: 1st speed, S2: 2nd speed
then:
speed = \(\frac{25 + 20}{2}= 22.5 mph\)
Hence, time took = \(\frac{20}{22.5} = 0.9 hours = 54 minutes\)
hope you find this easy to understand....
Have any questions? Write in the comments.
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given that that y is inversely proportional to the cube root of x, and that x=64 when y = 12.75. 1.find the equation connecting x and u. 2. find the value of x when y=3. 3.find the change in the value of y when the value if x is divided by 125
Answer:
If y is inversely proportional to the cube root of x, we can write the equation:
y = k / (x^(1/3))
where k is a constant of proportionality. To find k, we can use the given information that x=64 when y=12.75:
12.75 = k / (64^(1/3))
Simplifying:
12.75 = k / 4
k = 51
So the equation connecting x and y is:
y = 51 / (x^(1/3))
To find the value of x when y=3, we can plug in y=3 into the equation we just found and solve for x:
3 = 51 / (x^(1/3))
Simplifying:
x^(1/3) = 51 / 3
x^(1/3) = 17
Cubing both sides:
x = 17^3
x = 4913
So when y=3, x=4913.
If we divide x by 125, we can write the new value of x as x/125. To find the new value of y, we can plug this into the equation we found in part 1:
y = 51 / ((x/125)^(1/3))
Simplifying:
y = 51 / ((1/125)^(1/3)) * (x^(1/3))
y = 51 / 5 * (x^(1/3))
So the new value of y is:
y' = 51 / 5 * ((x/125)^(1/3))
To find the change in y, we can subtract the original value of y from the new value:
Δy = y' - y
Δy = 51 / 5 * ((x/125)^(1/3)) - 51 / (x^(1/3))
Simplifying:
Δy = 51 / 5 * ((x/125)^(1/3)) - 51 * (x^(-1/3))
Note that we can simplify this expression further by finding a common denominator, but this is the final answer.
Step-by-step explanation:
if ha is not equals, you have to double the probability of being beyond your test statistic to get your p-value.
a. true
b. false
a person eating at a cafeteria must choose 3 of 19 vegetable on offer. calculate the number of elements in the sample space for this experiment
The number of elements in the sample space for this experiment is 969.
If a person eating at a cafeteria must choose 3 of 19 vegetables on offer, we can calculate the number of elements in the sample space, or the total number of possible outcomes, using the formula for combinations:
nCr = n! / [r!(n - r)!]
where n is the total number of items in the set and r is the number of items being chosen.
In this case, we have 19 vegetables and we want to choose 3 of them, so we can plug in n = 19 and r = 3:
19C3 = 19! / [3!(19 - 3)!]
= 19! / (3!)(16!)
= 969
Therefore, there are 969 possible combinations of 3 vegetables that a person can choose from a selection of 19 vegetables.
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Estelle treated her sister to lunch while visiting her in Lowell. Their lunch cost $80, and the sales tax in Lowell is 15%. If Estelle left a 15% tip on the $80, how much in total did she pay?
Answer:
Estelle paid $104 in total.
Step-by-step explanation:
15% of $80.00 is 12. So add 12 two times to 80 because of 15% sales tax and 15% tip.
solve |x+3|<5
A. -8
B. -2
C. 3
D. -3
Answer: B
Step-by-step explanation:
Find the solution(s) of the system of equations:
y = x2 + 6x + 9
y = 2x + 6
(–3,12) and (–1,8)
(3,12) and (1,8)
(3,0) and (1,4)
(–3,0) and (–1,4)
The solutions are (0, - 6) ,(7, 8)
The given system of equations is expressed as
y = x² - 5x - 6- - - - - - - - - - - - (1)
y = 2x - 6- - - - - - - - - - - (2)
We would apply the method of substitution by substituting equation 2 into equation 1. It becomes
x² - 5x - 6 = 2x - 6
x² - 5x - 6 = 2x - 6
x² - 5x - 2x - 6 + 6 = 0
x² - 7x = 0
x(x - 7) = 0
x = 0 or x - 7 = 0
x = 7 or x = 0
Substituting x = 0 into equation 2, it becomes
y = 2 × 0 - 6
y = - 6
Substituting x = 7 into equation 2, it becomes
y = 2 × 7 - 6
y = 14 - 6
y = 8
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if c= 4i-1 and d= 8-5i, what is c-3d?
Step-by-step explanation:
The answer is: c=2 d=2 . Because: c+3d=8 c=4d−6. Let's substitue c from the second equation to the first: 4d−6+3d=8⇒7d=14⇒d=2.
Which of the following is equal to [(x2y3)-2/(x6y3x)2]3 ?
Answer:
a=√x3y5 or a=−√x3y5
Step-by-step explanation:
Answer:
A, B & D
Step-by-step explanation:
Just did it on Edge
Q.An observer 1.7m tall is 20sqrt(3)m away from a tower.The angle of elevation from the eye of observer to the top of the tower is 30 Find the height of the tower
plz Answer me
Answer:
21.7 m
Step-by-step explanation:
The question above is a right angle triangle and we would be using the trigonometric function of tangent to solve for it.
tan θ = Opposite/ Adjacent
Opposite side = Height = unknown
Adjacent = 20sqrt(3) m
θ = Angle of Elevation = 30°
Hence, we have:
tan 30° = Opposite/ 20√3
Opposite = tan 30° × 20√3m
Opposite = 20m
Height of the tower = Height of the observer + Height (Opposite side)
Height = 20m
Height of the the observer as given in the question is = 1.7m
Height of the tower = 20m + 1.7m
= 21.7m
Therefore, the height of the tower = 21.7m
Data Set 20
$3.04 $7.07 $2.82 $3.03 $3.28 $4.91 $4.09 $5.49 $5.02 $4.15 $4.53 $3.06 $5.56 $6.08 $2.87 $4.56 $5.20 $2.48 $4.12 $3.55 $3.49 $6.24 $5.01 $2.43 $4.70 $2.31 $7.41 $7.09 $4.81 $6.62 From the data set of fuel prices above; · Find the mean and standard deviation for the data set. Please do not try to do this by hand, but use the functions in Excel. · Find the Confidence Interval for your data. Sample initial post: First find the mean and standard deviation.
Then put this in an excel cell =confidence.norm(0.5,stdev,samplesize) and hit enter. This is the E value. (Note: please use your standard deviation and sample size and not the words.)
Set up your confidence interval: (mean-E, mean+E)
Formula you used above for the confidence interval:
The formula is E= zsubc * sigma / sqrt n
Where the left hand endpoint is xbar - E and the right hand endpoint is xbar + E
The mean of the given fuel prices data set is $4.61 with a standard deviation of $1.62.
To calculate the mean and standard deviation in Excel, you can use the following functions:
Mean: The AVERAGE function calculates the mean of a range of values. In this case, enter "=AVERAGE(A1:A30)" in an Excel cell, assuming the data is in cells A1 to A30.
Standard Deviation: The STDEV.S function calculates the standard deviation of a range of values. Enter "=STDEV.S(A1:A30)" in an Excel cell to calculate the standard deviation of the data set.
Using the mean ($4.61) and standard deviation ($1.62), we can now proceed to calculate the Confidence Interval.
The Confidence Interval can be determined using the formula: E = Z * (σ / √n)
In the formula, Z is the z-score corresponding to the desired level of confidence (e.g., 95% confidence corresponds to a z-score of approximately 1.96), σ is the population standard deviation (which can be estimated using the sample standard deviation in this case), and n is the sample size.
Let's assume we want a 95% confidence interval for the data set with a sample size of 30. We can use the formula "=CONFIDENCE.NORM(0.05, STDEV, 30)" in an Excel cell to calculate the E value.
Substituting the values into the formula, we get E = 1.96 * (1.62 / √30) ≈ 0.595.
Now, we can set up the confidence interval using the mean and E value:
Confidence Interval = (mean - E, mean + E)
Confidence Interval = ($4.61 - $0.595, $4.61 + $0.595)
Confidence Interval = ($4.015, $5.205)
Therefore, the 95% Confidence Interval for the given fuel prices data set is approximately $4.015 to $5.205.
In summary, the mean of the fuel prices data set is $4.61 with a standard deviation of $1.62. The 95% Confidence Interval for the data is approximately $4.015 to $5.205.
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Loretta had 60 roses and 80 daffodils. If she sold 40% of her roses and 75% of her daffodils, what percent of her flowers remain? ( will give brainliest to the person who gets the correct answer and shows work, no trolls.)
Answer:
Step-by-step explanation:
60 percent roses 24 roses
25 percent daffodils 60 roses
A new truck that sells for $29,000 depreciates 12% each year. What is the value of the
truck after 7 years?
Answer:
29000 - 24360 = $4,640
Step-by-step explanation: