find the common difference of arithmetic sequence 4,0, -4
Answer:
d = -4
Step-by-step explanation:
d = t2 - t1
d = 0 - (-4)
d = -4
what is the area of triangle ADC, if A is (-1, 3), D is (-1, 7), and C is (0, 4)?
Answer:
e
Step-by-step explanation:
g
Bill Lutes's dog is on a strict diet. The dog is to receive, among other nutrients, 3232 grams of protein and 5.65.6 grams of carbohydrates. Bill has only two food mixes available of the following compositions. How many grams of each mix should be used to obtain the right diet for his dog?
Answer:
80g of A and 40g of B must be mixed.
Step-by-step explanation:
The mixes are:
Mix Protein (%) Carbohydrate (%)
Mix A 30 6
Mix B 20 2
The following equations can be formed using the provided data:
0.30A + 0.20B = 32...(i)
0.06A + 0.02B = 5.6...(ii)
Multiply (ii) by 5 and subtract the resultant equation from (i):
0.30A + 0.20B = 32
-0.30A - 0.10B = -28
0.10B = 4
B = 40
Substitute B in (i) and solve for A as follows:
0.30A + (0.20 × 40) = 32
0.30A = 32 - 8
0.30A = 24
A = 80
Thus, 80g of A and 40g of B must be mixed.
Using a system of equations, the number of grams of each mix required to make the right diet would be ; Mix A and B are 80 and 40 grams respectively.
For protein :
0.3a + 0.2b = 32 ------------(1)
0.06a + 0.02b = 5.6 - - - (2)
Multiply (1) by 1 and (2) by (5)
0.3a + 0.2b = 32 --------(3)
0.3a + 0.1b = 28 - - - - - (4)
Subtract (4) from (3)
0.1b = 4
b = 40
From (1) :
0.30a + (0.20)40 = 32
0.30a = 32 - 8
0.30a = 24
a = 80
Hence, the required grams of Mix A and B are 80 and 40 grams respectively.
Learn more : https://brainly.com/question/7287026
The director of a basketball camp estimates that the number N of students who will enroll in a basketball camp can be modeled by
N = −0.3t + 250,
where t is the tuition for the camp in dollars.
(a)
What is the N-intercept?
(t, N) =
(b)
Write a sentence that explains the answer to part (a) in the context of the problem.
If the tuition was $
, then
students would enroll in the basketball camp.
(c)
What is the t-intercept? (Round your answers to two decimal places when necessary.)
(t, N) =
(d)
Write a sentence that explains the answer to part (c) in the context of the problem. (Round your answers to two decimal places when necessary.)
If the tuition was approximately $
, then
students would enroll in the basketball camp.
Answer:
Step-by-step explanation:
(a) To find the N-intercept, we set t to 0 in the equation N = -0.3t + 250:
N = -0.3(0) + 250
N = 250
Therefore, the N-intercept is (0, 250).
(b) The N-intercept is the point on the graph where the tuition is $0 and represents the number of students who would enroll in the basketball camp if it were free. In this case, if the tuition was $0, 250 students would enroll in the basketball camp.
(c) To find the t-intercept, we set N to 0 in the equation N = -0.3t + 250 and solve for t:
0 = -0.3t + 250
0.3t = 250
t = 250/0.3
t ≈ 833.33
Therefore, the t-intercept is approximately (833.33, 0).
(d) The t-intercept is the point on the graph where the number of students who enroll in the basketball camp is zero and represents the tuition that would need to be charged for no students to enroll. In this case, if the tuition was approximately $833.33, no students would enroll in the basketball camp.
Find the distance between the points (13,19) and (13,-14)
Answer:
\(d = 33\)
Step-by-step explanation:
Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Simply plug in the 2 coordinates into the distance formula to find distance d:
\(d = \sqrt{(13-13)^2+(-14-19)^2}\)
\(d = \sqrt{(0)^2+(-33)^2}\)
\(d = \sqrt{(-33)^2}\)
\(d = 33\)
Answer:
the distance between the two points is 33 units.
Step-by-step explanation:
because the two points have the same x value, we only need to consider the y values.
find the difference to solve for the distance.
\(19-(-14)\\19+14\\33\)
the answer is 33 units.
hope this helps :)
Selina is remodeling her home. She installed a low-flow toilet in her home that flushes 0.8 gallon each time. She replaced her showerhead with a low-flow showerhead that releases 1.5 gal/min. She flushes 12 times a day and showers for 10 minutes a day. On average, her appliances use 40.2 gal/day. Assuming no other appliance use, how much less water will she use than the average U.S. citizen?
The average U.S. citizen uses approximately 88 gallons of water a day.
What is Frequency?
Frequency is a measure of how often an event occurs within a given period of time. It is typically expressed as the number of occurrences of a given event per unit of time. Frequency can be used to measure a variety of phenomena such as the frequency of sound in a given environment or the frequency of a particular chemical element in a given sample.
Selina's low-flow toilet and showerhead will reduce her total water use to just 48.4 gallons per day, a savings of 39.6 gallons of water each day. This is a 44.8% reduction in her water consumption, saving her almost 40 gallons of water per day.
By making these improvements, Selina is helping to conserve a precious resource and limit her environmental impact. Not only is she helping to conserve water, but she is also saving money on her water bill. It is estimated that a typical household can expect to save about $170 annually by making these simple changes.
In addition to her low-flow fixtures, Selina can take additional steps to reduce her water consumption. She can install a water-efficient dishwasher, reduce the frequency of her laundry loads, and install a rain barrel to collect rainwater for gardening. By making these changes, she can reduce her water consumption even further and save even more money.
To know more about frequency
https://brainly.com/question/27820465
#SPJ1
In circle O, secants ADB and AEC are drawn from external point A
such that points D, B, E, and C are on circle O. If AD = 8, AE = 6,
and EC is 12 more than BD, the length of BD is
(1) 6
(2) 22
(3) 36
(4) 48
The length of BD is 22.
In the given scenario, let's consider the following information.
AD = 8
AE = 6
EC is 12 more than BD.
To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.
From the given information, we know that AD = 8 and AE = 6.
Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.
First, let's find the intercepted arc corresponding to AD:
Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16
Similarly, we can find the intercepted arc corresponding to AE:
Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12
Now, we know that EC is 12 more than BD.
Let's assume the length of BD as x.
BD + 12 = EC
Now, let's consider the intercepted arcs theorem:
Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C
16 - 12 = Angle B - Angle C
4 = Angle B - Angle C.
Since Angle B and Angle C are vertical angles, they are congruent:
Angle B = Angle C.
Therefore, we can say:
4 = Angle B - Angle B
4 = 0
However, we have reached an inconsistency here.
The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.
As a result, we cannot determine the length of BD based on the given information.
For similar question on length.
https://brainly.com/question/30582409
#SPJ8
A Biology test contains 10 multiple choice questions each with 5 choices and one correct answer. If a law school student just randomly guesses on each of the 10 questions, i.e., the probability of getting a correct answer on any given question is 0.2. Assume that all questions are answered independently. (a) What is the probability that the student answers at least 9 questions correctly
Answer:
0.0004% probability that the student answers at least 9 questions correctly
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student guesses the correct answer, or he does not. All questions are answered independently. This means that we use the binomial distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
In this question, we have that:
\(n = 10, p = 0.2\)
What is the probability that the student answers at least 9 questions correctly
\(P(X \geq 9) = P(X = 9) + P(X = 10)\)
In which
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 9) = C_{10,9}.(0.2)^{9}.(0.8)^{1} = 0.000004\)
\(P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0 \)
\(P(X \geq 9) = P(X = 9) + P(X = 10) = 0.000004 + 0 = 0.000004\)
0.0004% probability that the student answers at least 9 questions correctly
Add quotation marks to the
sentence.
Take out your pencil, said
the teacher.
Step-by-step explanation:
what is the solution to -2(8x-4) 2x+5?
Answer:
that would be -2200 sorry if im wrong
Step-by-step explanation:
Which of the following is equivalent to (5y + 3x) + 9x?
15xy + 9y
9x(5y + 3x)
5y + 12x
5y + 27x
Answer:
5y + 12x
Step-by-step explanation:
Let's simplify step-by-step.
5y+3x+9x
Combine Like Terms:
=5y+3x+9x
=(3x+9x)+(5y)
=12x+5y
Answer:
5y + 12x
Step-by-step explanation
Simplify step-by-step.
5y+3x+9x
Combine like terms:
=5y+3x+9x
=(3x+9x)+(5y)
=12x+5y
chloe is buying a mixed nuts at a grocery store. she can either spend $7.93 on a 15.25 ounce bag or 11.75 on a 25 ounce bag. which is a better buy?
Answer:
25 ounce bag
Step-by-step explanation:
1.) Identify the domain and the range in set notation for the following graph.
Domain:______________
Range: _______________
21
4x + 5
E
חו
What is the value of x?
Answer:
don't know
Step-by-step explanation:
Assume that adults have IQ scores that are normally distributed with a mean 105 of and a standard deviation 20 . Find the probability that a randomly selected adult has an IQ between 88 and 122 .
Answer:
0.6048
Step-by-step explanation:
Given the following :
Assume a normal distribution :
Mean (m) = 105
Standard deviation (sd) = 20
Find the probability that a randomly selected adult has an IQ between 88 and 122 .
Z = (x - m) / sd
For IQ score of 88:
Z = (88 - 105) / 20
Z = (-17) / 20
Z = - 0.85
For IQ score of 122:
Z = (122 - 105) / 20
Z = (17) / 20
Z = 0.85
P(-0.85<Z<0.85) = P(Z < 0.85) - P(Z < - 0.85)
P(-0.85<Z<0.85) = (0.8023 - 0.1977)
P(-0.85<Z<0.85) = 0.6048
How do I multiplying 4567x89076
Answer:
406810092
You could just use a calculator
find the area of the figure 4m 7m
Answer:
Step-by-step explanation:
where is the picture?!
Answer:
28m squared
Step-by-step explanation:
7*4 is 28
Prove that Associative property does not hold true for 8 / 9 – ( 9 / 10 – 2 / 5 )
O
Which of the following could be used to calculate the area of the sector in the circle sho
O
m(Sin)
O
WE OD
m(Sin)2
O n(30in)2
O
r-5 in 30
m(30in)
O
above? (5 points)
The Circle Sector Area correct answer is: O n(30in)2
To calculate the area of the sector in the circle, you would typically use the formula:
Area = (θ/360) * π *\(r^2\)
where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.
From the options you provided, the correct choice would be:
O n(30in)2
This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)
Therefore, the Circle Sector Area correct answer is: O n(30in)2
For such more questions on Circle Sector Area
https://brainly.com/question/30607726
#SPJ8
Help
ASAP
Due at 11:59
Answer:
1.5 cars/hour
Step-by-step explanation:
if you look at the graph and go up by hour it calculates to 1.5 cars/hour
hope it helps
Brainliest if right :)
Answer:
The average would be 5.25
Step-by-step explanation:
If you add up all of the points
1.5+3+4.5+6+7.5+9=31.5
Divide that by the number of points there are, which is 6
31.5/6
and you should get your answer of 5.25 cars Quick-E-Clean can detail in an hour.
David bought 3 1/3 fabric . How much is this in feet?
Answer:10 feet, I think
Step-by-step explanation:
You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How long will it be before you and your sister have the same amount of money? What amount would you have the same?
Answer:
15 weeks
$270
Step-by-step explanation:
Let y = total money saved
x = weeks
I am saving $14 every week, so I multiply x by 14
y = 14x
And I already have $60 to begin with
y = 14x + 60
My sister is saving $10 every week, so I multiply x by 10
y = 10x
And she already has $120 to begin with
y = 10x + 120
Now we just need to find a point where they are the same
14x + 60 = 10x + 120
Move like terms to one side, so subtract 10x from both sides
14x + 60 = 10x + 120
-10x -10x
4x + 60 = 120
Subtract 60 from both sides
4x + 60 = 120
- 60 - 60
4x = 60
Divide both sides by 4
4x/4 = 60/4
x = 15
Now plug in the new x into one of the original equations to find the money amount. We'll use sister's.
y = 10(15) + 120
y = 150 + 120
y = 270
What are the coordinates of point Q?
How many units below the x-axis is point Q?
Will point Q' be above or below the x-axis?
How many units above or below the x-ax will it be?
Does reflection across the x-axis change the x-coordinates? If yes, how?
Does reflection across the x-axis change the y-coordinates? If yes, how?
What are the coordinates of point Q?
What are the coordinates for the other vertices of Q'R'ST?
R’
S’
T’
Draw figure Q’R’S’T’ on the coordinate plane and label the pints at the vertices
Answer:
Q (-4, -2); 2 units; Q' will be above the x-axis; 2 unites; no; yes, the y coordinates are multiplied by -1; Q' (-4, 2); R' (-2, 2), S' (1, 5), T' (-2, 5);
Step-by-step explanation:
even after a reflection over the x-axis, each points distance from the x-axis will stay the same
the x-coordinates don't change because the distance from the y-axis stays the same
the picture below shows points of Q'R'S'T', just connect the vertices
PLEASE HURRY AND HELP I WILL GIVE BRAINLIEST AND 5 STARS
Square A is dilated by a scale factor of 1/2 making a new square F (not shown). Which square above would have the same area as square F?
a. Square B
b .Square C
c. Square D
d. Square E
Square abοve wοuld have the same area as square F is b)square C.
What is area?The regiοn that an οbject's shape defines as its area. The area οf a figure οr any οther twο-dimensiοnal geοmetric shape in a plane is hοw much space it οccupies.
Here the square A is cοntains 4- 1 unit squares.
Then length οf the square = 2 units,
If Square A is dilated by scale factοr 1/2 then,
Length οf square F = \(2\times \frac{1}{2}\) = 1unit.
Area οf square F = 1*1 = 1 square unit.
Then in the given squares , square C οnly has 1 unit side length.
Hence the cοrrect οptiοn is b) Square C.
To learn more about area refer the below link
https://brainly.com/question/20110859
#SPJ1
An investment portfolio is shown below.
Investment Amount Invested ROR
Money Market Account $3,200 2.1%
Government Bond $1,750 4.4%
Preferred Stock $1,235 −7.8%
Common Stock $2,300 10.5%
Using technology, calculate the difference between the arithmetic average ROR and the weighted average ROR. Round to the nearest tenth of a percent.
0.5%
1.1%
2.3%
3.5%
Using technology, the difference between the arithmetic average ROR and the weighted average ROR is 0.52%
What is arithmetic mean?The Arithmetic Mean will be called the Simple Arithmetic Mean when it is calculated as the quotient between the sum of all the different related values and the number of observations involved in this sum.
Given An investment portfolio
Since arithmetic average ROR:
The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments arithmetic average:
ROR = (2.1%+ 4.4%+ 7.8% + 0.5%)/4
arithmetic average ROR=6.20%
total amount invested=$3200+$1750+$1235+$2,300
total amount invested=$8,485
weighted average:
ROR = (3200/8485 * 2.1%+ 1750/8485 * 4.4%+ 1235/8485 *7.8% + 2300/8485 *0.5%)
weighted average:
ROR=5.68%
difference=6.20%-5.68%
difference=0.52%
Learn more about ROR on:
brainly.com/question/28683603
#SPJ1
Answer: it’s 1.1%
Step-by-step explanation: just got it right on the test
Compare the expressions to 300.move a statement to each line to make the comparisons true.
Answer:
I don't understand the Question
Step-by-step explanation:
Less than 300 multiply by half = 150Less thanI need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
Please help! will make brainliest
Answer:
59,582π/375 (approximately 499.153) square centimeters
Step-by-step explanation:
Volume:
\( \frac{1}{3} \pi {(6.2)}^{2} (12.4)\)
\( \frac{1}{3} {( \frac{31}{5}) }^{2} ( \frac{62}{5} )\pi\)
\( \frac{59582\pi}{375} \)
57.351 rounded to the ones place
How do you round to the ones place?
Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place. If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is.
Answer:
Step-by-step explanation:
do u mean round to the nearest 10th as in one decimal place or to the nearest one not decimal place?
help me please :/
Dana is training to run a marathon. On Monday, she ran 10.2 miles. On Tuesday, she ran 11.4 miles. On Wednesday and Thursday, she ran 11.8 miles each day. On Friday, she ran 12.3 miles. Round each amount to the nearest whole mile to find a reasonable estimate of the total number of miles Dana ran over this five-day period.
Answer:
57 miles.
Step-by-step explanation:
to find
⇒ total number of miles dana ran
given
⇒ monday = 10.2 miles
⇒ tuesday = 11.4 miles
⇒ wednesday and thursday = 11.8 miles
⇒ friday = 12.3 miles
∴ total number of miles = 10.2 + 11.4 + 23.6 + 12.3
⇒ 57.5
⇒ 57 miles