Answer:
B
Step-by-step explanation:
Let x be the number of packages of paper towels.
Each package of paper towels costs $2.79.
Then x packages of paper towels cost $2.79x.
Hence, a function f(x) is
[tex]f(x)=2.79x[/tex]
Practically, you can buy 0 packages, 1 package, 2 packages and so on, only whole numbers of packages, so practical domain is all whole numbers.
when you save, you earn interest on your savings and even earn interest in the previous years interest what is the name for this type of interest brainly
Answer:
A
Step-by-step explanation:
The type of interest where you earn interest on your savings and even earn interest in the previous years interest is compound interest.
What is compound interest?
Compound interest is when both the amount saved and the interest already accured earn interest at the next date interest is being paid. Simple interest rate is the interest that is paid only on the amount saved.
To learn more about compound interest, please check: https://brainly.com/question/26367706
hurry please answer fast - which expression best estimates 6 3/4 + 1 2/3? a. 7 divided by 2 b. 6 divided by 1 c. 8 divided by 3 d. 3 divided by 2
Answer:
1863254
Step-by-step explanation:
Answer:
balls
joe
mama
Step-by-step explanation:
A basketball player makes half of his 3 throws. What are the chances he will make his next free throw?
I think it would be 50%
A person invests 9000 dollars in a bank. The bank pays 6% interest compounded monthly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14000 dollars?
Answer:
[tex]7.4\ years[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=?\ years\\ P=\$9,000\\ r=0.06\\n=12\\ A=\$14,000[/tex]
substitute in the formula above
[tex]14,000=9,000(1+\frac{0.06}{12})^{12t}[/tex]
[tex](14/9)=(1.005)^{12t}[/tex]
Apply log both sides
[tex]log(14/9)=(12t)log(1.005)[/tex]
[tex]t=log(14/9)/[(12)log(1.005)][/tex]
[tex]t=7.4\ years[/tex]
Need help with this question in the image
Answer:
s a
6 3
22 1
30 0
Step-by-step explanation:
Download song .50
Download album = 4
Let s = number of songs
a = number of albums
She can spend 15 dollars
.5s +4a =15
If she downloads 6 songs, let s=6
.5(6) +4a = 15
3+4a = 15
Subtract 3 from each side
3-3+4a = 15-3
4a = 12
Divide by 4
4a/4 =12/4
a=3
She can buy 3 albums
If she downloads 1 album, let a=1
.5(s) +4(1) = 15
.5s +4=15
Subtract 4 from each side
.5s +4-4=15-4
.5s = 11
Divide by .5
.5s/.5 = 11/.5
s = 22
She can download 22 songs
If she downloads 30 songs, let s=30
.5(30) +4a = 15
15+4a= 15
Subtract 15 from each side
15-15 +4a = 15-15
4a=0
a=0
What is the solution for the following system of linear equations? Give your answer in the form of an ordered pair.
3x + 2y = 5
4x − 9y = −5
Giving brainliest + 30 points!
Answer:
(1,1)
Step-by-step explanation:
3x + 2y = 5
4x − 9y = −5
Multiply the first equation by 4 and the second equation by -3 so we can eliminate x
4(3x + 2y) = 5 *4
Distribute
12x +8y = 20
-3(4x − 9y) = −5*-3
-12x +27y = 15
Add the two new equations together
12x +8y = 20
-12x +27y = 15
------------------------
35y = 35
Divide by 35
35y/35 = 35/35
y=1
Now we can find x
3x+2y =5
3x+2(1) =5
3x +2 =5
Subtract 2 from each side
3x+2-2=5-2
3x=3
Divide by 3
3x/3 = 3/3
x=1
(1,1)
g(r)=−(r+11)(r+14)
1) What are the zeros of the function?
Write the smaller r first, and the larger r second.
smaller r____
larger r_____
2) What is the vertex of the parabola
(___,____)
1) What are the zeros of the function?
smaller r: -11, larger r: -14
2) What is the vertex of the parabola
Vertex: (-12.5, 3)
1. Zeros:
The zeros of the function occur when G(r) = 0. So we need to solve the equation:
-(r + 11)(r + 14) = 0
Since the product of two factors is zero when one or both factors are zero, we can set each factor equal to zero and solve for r:
r + 11 = 0 --> r = -11 (smaller r)
r + 14 = 0 --> r = -14 (larger r)
2. Vertex:
The function is given in factored form, which makes finding the vertex a bit easier. The vertex of a parabola in factored form is exactly between the two zeros.
Therefore, the x-coordinate of the vertex is:
(smaller r + larger r) / 2 = (-11 - 14) / 2 = -12.5
To find the y-coordinate (i.e., the function's value at the vertex), we can plug the x-coordinate of the vertex back into the function (G(r)). However, since the function is multiplied by -1, it might be easier to use one of the original zeros (say, r = -11).
G(-11) = -(-11 + 11)(-11 + 14) = 3 (notice how the negative sign cancels out)
At a local company, the ages of all new employees hired during the last 10 years are normally distributed. The mean age is 31 years old, with a standard deviation of 10 years. If you were to take a sampling of 10 employees, what is the probability your mean age will be at least 28? Round to the nearest percent.
Answer:
The probability your mean age will be at least 28 is 83%
Step-by-step explanation:
Let X denote the ages of all new employees hired during the last 10 years , then X is normally distributed with;
a mean of 31
a standard deviation of 10.
The sample size obtained is 10 employees. This implies that the sampling distribution of the sample mean will be normal with;
a mean of 31
a standard deviation of [tex]\sqrt{10}[/tex]
The sample mean is a statistic and thus has its own distribution. Its mean is equal to the population mean, 31 and its standard deviation is equal to [tex]\frac{sigma}{\sqrt{n} }[/tex]
where sigma is the population standard deviation, 10 and n the sample size which in this case is 10. [tex]\frac{10}{\sqrt{10} }=\sqrt{10}[/tex]
We are required to find the probability that this sample mean age will be at least 28;
P(sample mean ≥ 28)
Since we know the distribution of the sample mean we simply standardize it to obtain the z-score associated with it;
P(sample mean ≥ 28)
= [tex]P(Z\geq \frac{28-31}{\sqrt{10} } )=P(Z\geq -0.9487)[/tex]
=0.8286
As a percentage this is equivalent to, 83%
Simplify the rational expression x^2-4/x^2+5x+6. State any restrictions on the variable.
Answer:
The correct answer is option B.
Step-by-step explanation:
The given rational expression is:
[tex]\frac{x^2-4}{x^2+5x+6}[/tex]
Factor the numerator and the denominator:
[tex]\frac{x^2-2^2}{x^2+2x+3x+6}[/tex]
Factor the numerator using difference of two squares and the denominator using factorization by grouping.
[tex]\frac{(x-2)}{x(x+2)+3(x+2)}[/tex]
[tex]\frac{(x-2)(x+2)}{(x+2)(x+3)}[/tex]
This function is defined if and only if the denominator is not zero.
That is: (x+3)(x+2)≠0.
x≠-2,x≠-3
We simplify now to obtain:
[tex]\frac{x-2}{x+3}[/tex]
The correct choice is the second option.
Option B is correct.
I just took the semester review.
What is the volume of the right rectangular prism?
Answer:
240
Step-by-step explanation:
V=width height length = 10 · 3 · 8 = 240
Hope this helped, have a wonderful day man!
The answer is 240cm^3
The exponential function, f(x) = 2^x, undergoes two transformations to g(x) = 1/3 x 2^x - 7. how does the graph change? select all that apply. A. It is vertically compressed. B. It is vertically stretched. C. It is shifted right. D. It is shifted down E. It is lipped over the x-axis.
Answer:
A and D
Step-by-step explanation:
Since a (1/3) is less than 1, it is vertically compressed. The -7 is outside of the parenthesis so it is shifting down.
Answer:
options A and D are the correct options.
Step-by-step explanation:
The parent exponential function is f(x) = 2ˣ
Now this function undergoes two transformations to form g(x) = [tex]\frac{1}{3}(2^{x})-7[/tex]
When parent function f(x) = 2ˣ is multiplied by [tex]\frac{1}{3}[/tex], this means f(x) has been compressed vertically because [tex]\frac{1}{3}[/tex] < 1.
Now we subtract 7 from the new function [tex]\frac{1}{3}[/tex] [tex](2^{x})[/tex], that means we are shifting this function 7 units downwards on y-axis.
Therefore, options A and D are the correct options.
dwight is 3 years older than twice his sisters age . how old is dwight (write the expression)
Answer:
Step-by-step explanation:
let dwight represent x nd his sister represent y
y+3x2=x
Answer:
I did not know that Dwight Schrute has a sisterrrrr
Step-by-step explanation:
Um just the other dude brainliest
philip ask julie to pick a number at random from 1 to 100, and then asks shelly to do the same. what is the probability that both will select 49? show your work
Answer:
[tex]\frac{1}{10000}[/tex]
Step-by-step explanation:
In probability, "AND" means Multiplication
"OR" means addition
There are 100 numbers from 1 to 100. Probability of picking 49 is 1/100 (since we want 1 specific number form 100 numbers).
Question is asking Probability that Phillip selects 49 AND ALSO Shelly select 49. since there is "AND", we just multiply both the probabilities of Phillip and Shelly.
[tex]\frac{1}{100}*\frac{1}{100}=\frac{1}{10000}[/tex]
Percent Increase
Example 1: Ann works in a supermarket for $10.00 per hour. If her pay is increased to $12.00, then what is her percent increase in pay?
Analysis: When finding the percent increase, we take the absolute value of the difference and divide it by the original value. The resulting decimal is then converted to a percent.
Answer:
20% increase
Step-by-step explanation:
Percent increase = (difference) / original *100 percent
= (12-10)/10 * 100percent
= 2/10 *100 percent
= 1/5 * 100 percent
=.2 * 100 percent
= 20%
Which comparison is NOT correct?
2 > -3
-7 < -5
-9 < 1
0 < -4
2 > -3 (2 is greater than -3, this is true)
-7 < -5 (-7 is less than -5, this is true because -7 is more negative than -5)
-9 < 1 (-9 is less than 1, this is true)
0 < -4 (0 is less than -4, this is false because 0 is greater than -4)
Among the comparisons given, "0 < -4" is incorrect.
The student is asking which comparison is not correct. After evaluating each comparison, it becomes clear that 0 < -4 is not correct because 0 is not less than -4; in fact, 0 is greater. Other comparisons such as 2 > -3, -7 < -5, and -9 < 1 are all correct, as in each case, the number on the left side of the inequality is indeed larger (or smaller, for negative numbers) than the number on the right side as the symbol indicates.
To understand why 0 < -4 is incorrect, consider the number line where any number to the right is greater than the number to the left. Zero (0) lies to the right of any negative number, including -4, which means it is greater, not less.
what is blank - 9 =19
Answer:
28
Step-by-step explanation:
19+9=28 and 28-9=19
Hope This Helps! Have A Nice Day!!
28 I think not positive
Convert 67,000 pounds to tons. Choose the words and numbers to complete the statements.
Answer: 33.5 tons
Direct conversion formula: 1 Tons (metric) / 2204.5855379189 = 1 Pounds
Opposite conversion: 67000 Pounds to Tons (metric)
The length of a rectangular garden is represented by 3X -4 and the width is represented by 2X -5. Which of the following represents the total area of the garden
Answer:
6x^2 - 23x + 20
Step-by-step explanation:
Next time, please share all of the possible answer choices.
Here, A = (3x - 4)(2x - 5) = 6x^2 - 15x - 8x + 20, or
6x^2 - 23x + 20
MARKING BRAINLEST HELP ASAP :))))))) SHOW WORK !!
The rectangle shown has a length of 3x+1 and a width of 2x. Show your work. (3 points)
Find the perimeter.
Find the area.
Find the perimeter and area if x=5.
Answer:
perimeter = 10x + 2
area = 6x^2 + 2x
perimeter = 52
area = 160
Step-by-step explanation:
perimeter = 2 * length + 2 * width
perimeter = 2(3x + 1) + 2(2x)
perimeter = 6x + 2 + 4x
perimeter = 10x + 2
area = length * width
area = (3x + 1)(2x)
area = (2x)(3x + 1)
area = 6x^2 + 2x
For x = 5:
perimeter = 10x + 2 = 10(5) + 2 = 50 + 2 = 52
area = 6x^2 + 2x = 6(5^2) + 2(5) = 6(25) + 10 = 150 + 10 = 160
Ashley use 3 yards of ribbon to wrap these presents how many feet and rub it did actually how many inches did she
Answer:
108 inches
Step-by-step explanation:
one yard = 36 inches
multiply 36 by 3
Answer:1 yd= 3 ft
12 inches= 1 ft
Set up a proportion:
1/3=3/x
1×3=3, so 3×3= 9 ft in 3 yds.
9/3=x/12
9×12= 108
9 ft and 108 inches
!!!!HELP ASAP ITS EASY IM JUST STUPID!!!!
What is the area of the following trapezoid?
280 mm2
420 mm2
140 mm2
210 mm2
The area of a trapezoid is [tex]\frac{a+b}{2} h[/tex] so substitute the values.
[tex]\frac{14 + 28}{2} 10[/tex] → [tex]\frac{42}{2} 10[/tex] → 21 * 10 → 210mm²
Hope this helps!!
The area of the following trapezoid is 210mm².
How to calculate the area of a trapezoid?The area of a trapezoid can be calculated if the length of its parallel sides and the perpendicular distance (height) between them is given. The formula for the area of a trapezoid is expressed as,
Area = {(a + b) × h} / 2
Where a and b are the parallel sides and h is the height in the figure below.
In the given question we have, a = 14 mm , b = 28 mm and h = 10 mm.
So, by using the formula for finding the area of a trapezoid,
Area = {(14 + 28) × 10} / 2
= {42 × 10 } / 2
= 420 / 2
= 210
The unit of the area is mm².
Therefore, the area of the following trapezoid is 210 mm².
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Carl is shipping a cardboard box that is a rectangular prism. The net of Carl's box is shown. 4 inches 6 inches H-10 inches What is the area of cardboard, in square inches, required for Carl's box?
Surface area: 2 × w × l + 2 × l × h + 2 × h × w
Answer:
156 in. squared
Step-by-step explanation:
Drag the values to order them from least to greatest, with the least at the top.
Answer:
√143 = 11.958
√79+√63 = 16.825
4π = 12.66
Im pretty sure this is correct since I used a calculator. Hope it helps
Select the three sums equivalent to 13/
8.
Answer:
1.625
Step-by-step explanation:
5x - 2y = 3
-5x + 4y = 9
The answer is (3,6) x=3 y=6
Answer:
x = 3 / y = 6
Step-by-step explanation:
5x - 2y = 3
-5x + 4y = 9
----------------- (combine the equations)
2y = 12
isolate the variable
y = 6
next, use one of the original equations and substitute in for y to solve for x
5x - 2(6) = 3
multiply
5x - 12 = 3
isolate the variable
5x = 15
divide each side by 5
x = 3
in the rectangular pyramid below , the length ,i , is 27cm , the width , w , is 30 2/3cm , and the height , h , is 9cm. What is the volume of the pyramid ?
Answer:
A. 2,484
Step-by-step explanation:
27×30 2/3× 9= 7,452
7,452÷3= 2,484
Volume of rectangular pyramid is 2,484.27 cm³
Given that;Length of pyramid = 27 cm
Width of pyramid = [tex]30\frac{2}{3}[/tex] cm = 30.67 cm
Height of pyramid = 9 cm
Find:Volume of rectangular pyramid = [(l)(w)(h)] / 3
Volume of rectangular pyramid = [(27)(30.67)(9)] / 3
Volume of rectangular pyramid = [7,452.81] / 3
Volume of rectangular pyramid = 2,484.27 cm³
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Find two fractions with a sum of 2/3 but with neither denominator equal to 3.
answer: 2/6 +2/6= 4/6 and 4/6 reduced down is 2/3 :)
The two fractions with a sum of 2/3 but with neither denominator equal to 3 is, 2/6 +2/6= 4/6 and 4/6 reduced down is 2/3.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
here, we have,
2/3
= 4/6
=2/6 +2/6
Hence, The two fractions with a sum of 2/3 but with neither denominator equal to 3 is, 2/6 +2/6= 4/6 and 4/6 reduced down is 2/3.
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Which has a greater volume; two regular cans of soup, each with a diameter of 8 cm and a height of 10 cm or one family size can of soup, which has a diameter of 10 cm and a heigh if 12 can? Explain and give your calculations.
Answer:
The two regular cans of soup has a greater volume than the family size can of soup
Step-by-step explanation:
step 1
Find the volume of two regular cans of soup, each with a diameter of 8 cm and a height of 10 cm
The volume is equal to
[tex]V=2[\pi r^{2} h][/tex]
we have
[tex]r=8/2=4\ cm[/tex] ----> the radius is half the diameter
[tex]h=10\ cm[/tex]
substitute
[tex]V=2[\pi (4)^{2} (10)][/tex]
[tex]V=320\pi\ cm^{3}[/tex]
step 2
Find the volume of one family can of soup, with a diameter of 10 cm and a height of 12 cm
The volume is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]r=10/2=5\ cm[/tex] ----> the radius is half the diameter
[tex]h=12\ cm[/tex]
substitute
[tex]V=\pi (5)^{2} (12)[/tex]
[tex]V=300\pi\ cm^{3}[/tex]
therefore
Compare the volumes
[tex]320\pi\ cm^{3} > 300\pi\ cm^{3}[/tex]
The two regular cans of soup has a greater volume than the family size can of soup
what is the midpoint of the segment shown below? (2,3) (10,3)
Answer:
6,3 hope I helped. :) :)
The coordinates of the midpoint of the line segment that has endpoints (2,3) and (10,3) are (6,3).
What are the coordinates of the midpoint of the line segment AB?Suppose we've two endpoints of a line segment as A(p,q), and B(m,n), then let the midpoint be M(x,y) on that line segment. Then, its coordinates are x =(p+m)/2 and y = (q+n)/2.
Given the endpoints of the line segment are A(-3,4) and B(-6,-1), then the coordinates of the midpoint will be,
x = (2+10)/2 = 12/2 = 6
y = (3+3)/2 = 6/2 = 3
Hence, the coordinates of the midpoint of the line segment that has endpoints (2,3) and (10,3) are (6,3).
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please help ill give brainliest
Answer:
42
Step-by-step explanation:
Answer:
42 people chose Turkey
Step-by-step explanation:
Create a proportion:
22/28 = 33/x
Cross multiply:
28(33)/22 = x
42= x