Answer:
313.6 sqft.
Step-by-step explanation
Decimal
First, convert the fractions into decimals to make it easier to multiply. 24 1/2 = 24.5. 12 4/5 = 12.8. 24.5*12.8 = 316.6.
Fraction
First, make the fractions into improper fractions. 24 1/2 = 49/2. = 12 4/5 = 64/5. 49/2*64/5 = 313 3/5 = 313 6/10 = 313.6.
Can you help me with this
In the case of multiplication in exponents, if the numbers are the same, their exponents are added.
7 + 8 is written to the power of x, and 3 + 2 is written to the power of y.
Bao is mixing flour and water to make dough. The graph shows how much water he uses for different amounts of flour.
How many liters of water does Bao use per liter of flour?
Answer: He uses two litres of water for one litre of flour.
Step-by-step explanation:
What is the value of sin-1(1)? negative startfraction pi over 2 endfraction 0 startfraction pi over 2 endfraction π
The value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.
What is the value of sin (π/2)?The value of sin (π/2) is equal to the number 1. The value of the sin-1(1) has to be find out.
Suppose the value of this function is x. Thus,
[tex]x=\sin^{-1}(1)[/tex]
Solve it further,
[tex]\sin(x)=(1)[/tex] ......1
The value of sin (π/2) and -sin (-π/2) is equal to 1 such that,
[tex]\sin\dfrac{\pi}{2}=-\sin\left(-\dfrac{\pi}{2}\right)=1[/tex]
Put this value in the equation 1,
[tex]\sin(x)=\sin\left(\dfrac{\pi}{2}\right)=-\sin\left(-\dfrac{\pi}{2}\right)[/tex]
Thus, the range will be,
[tex]\left(\dfrac{\pi}{2},-\dfrac{\pi}{2}\right)[/tex]
Thus, the value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.
Learn more about the sine values here;
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Answer: C
Step-by-step explanation:
edge
What is 2 , 3492,349 rounded to the nearest hundred?
Answer:
See below.
Step-by-step explanation:
23,492,349
/\
This is the hundreds place.
The place after it has a 4, so normally, we would round down. But, there is a 9 after the 4, so we round up the 4 to 5, and we round up again to the 3.
23,492,400
-hope it helps
ANSWER THE QUESTION FOR BRAINLIST !!
In 2010 , Cornfield Farms produced 175,000 bushels of corn . Each year since 2010, their total corn harvest has increased by 2.5 % over the previous year .
Write an exponential function , f(x), that models the number of bushels of corn produced X years after 2010
Enter your answer by filling in the boxes
f(x) = ______ • (_______) ^x
Answer:
[tex]f(x) = 175000*1.025^x[/tex]Step-by-step explanation:
Exponential function has the form
[tex]f(x) = ab^x[/tex]Where a- initial value, b- growth rate
Find the growth rate b
[tex]b = 1 + 2.5/100 = 1 + 0.025 = 1.025[/tex]The function is
[tex]f(x) = 175000*1.025^x[/tex]Answer:
[tex]y = 175000 \cdot {1.025}^{x} [/tex]
Step-by-step explanation:
recall exponential function:
[tex]y = a \cdot {b}^{x} [/tex]
where:
a is the initial valueb is the growthx is the independent variabley is the dependent variableFinding the exponential function:
firstly,It says In 2010 , Cornfield Farms produced 175,000 bushels of corn. It simply refers that, The initial value is 175,000, therefore,
[tex]a \implies 175000[/tex]secondly, It assers that Each year since 2010, their total corn harvest has increased by 2.5% over the previous year, thus
[tex] b \implies 1 + \frac{2.5}{100} = 1.025[/tex]finally, just plug in the value of a and b into the function,
[tex]y = 175000 \cdot {1.025}^{x} [/tex]
and we're done!
40 points!! Two questions (a) and (b)!!
Answer:
(a) Kaylee earns $19.50 per hour.
(b) Kaylee earns more per hour.
Step-by-step explanation:
a)
[tex]m[/tex] = $ per hour
[tex]y = mx[/tex]
[tex](39) = m(2)[/tex]
[tex](39 = m(2)) = 19.50 = m[/tex]
b) Kaylee earns more per hour
Kaylee earns $19.50 per hour and Joey earns $16.50 per hour.
Anja collected data about the number of dogs 9th-grade students own. she created this histogram to represent the data and determined that it is skewed right. a graph shows number of dogs labeled 0 to 2 on the horizontal axis and frequency on the vertical axis. 0 dogs at frequency 20. 1 dog at frequency 15. 2 dogs at frequency 12. which statement is true about anja’s claim? she is incorrect; the histogram is skewed to the left because more data is on the left side. she is incorrect; the histogram is skewed to the left because there is more data on the right side. she is incorrect; the histogram is symmetrical because the right side is equal to the left side. she is correct; the histogram is skewed to the right because there is less data on the right side.
As the histogram is skewed to the right because there is less data on the right side. So, she is correct that is option D.
What is a histogram graph?A histogram graph is a graphical representation of given data. It is a bar graph that represents a frequency distribution by rectangles separated from each other with equal spaces.
A graph shows several dogs labeled 0 to 2 on the horizontal axis and frequency on the vertical axis.
here, we can see from a given data that as the number of dogs increases the frequency on the vertical axis decreases. At 0 dogs the frequency is 20, at 1 dog the frequency is 15, At 2 dogs the frequency is 12.
The histogram is skewed to the right because there is less data on the right side as the frequency decreases.
Therefore, the histogram is skewed to the right because there is less data on the right side. So, she is correct that is option D.
Learn more about histograms here:
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Answer:
d
Step-by-step explanation:
Solve for x
7x – 1= 2x + 3
Give your answer as a fraction in its simplest form.
Answer:
x = 4/5.
Step-by-step explanation:
7x - 1 = 2x + 3
Move one to the other side.
7x = 2x + 4
Subtract the 2x to the other side
5x = 4
Divide both sides by 5
x = 4/5.
Answer:
x = 0.8
Step-by-step explanation:
To find x, we need to isolate the constants on one side and the variables on the other. Simply subtract 2x both sides and add 1 both sides.
⇒ [tex]7x - 1= 2x + 3[/tex]
⇒ [tex]7x - 1 - 2x + 1 = 2x + 3 + 1 - 2x[/tex]
⇒ [tex]5x = 2x + 3 + 1 - 2x[/tex]
⇒ [tex]5x = 3 + 1[/tex]
Now, simplify the RHS.
⇒ [tex]5x = 3 + 1[/tex]
⇒ [tex]5x = 4[/tex]
Finally, divide 5 both sides to isolate the x variable.
⇒ [tex]\frac{5x}{5} = \frac{4}{5}[/tex]
⇒ [tex]x = \frac{4}{5} = 0.8[/tex]
A research firm has determined that 80% of telephone
respondents will agree to answer an opinion poll. If 20
people are contacted, what is the probability that exactly 14
people agree to be polled?
The probability that out of 20, 14 agree to answer is:
P(14) = 0.109
How to find the probability?
We know that the 80% of the respondents will agree to answer the opinion poll (and 20% don't).
Then the probability that a random respondent agrees to answer the poll is 0.8
Now, the probability that out of 20, 14 agree to answer, is:
[tex]P(14) = C(20, 14)*(0.8)^{14}*(0.2)^6[/tex]
Where C(20, 14) is the number of different combinations of 14 elements that we can make out of the 20 elements (the number of permutations).
[tex]C(20, 14) = \frac{20!}{(20 - 14)!*14!} = \frac{20*19*18*17*16*15}{6*5*4*3*2} = 38,760[/tex]
Replacing that in the probability, we get:
[tex]P(14) = 38,760*(0.8)^{14}*(0.2)^6 = 0.109[/tex]
If you want to learn more about probability, you can read:
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A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty 1-square-foot sections of fabric are randomly selected and cut from different bolts of fabric. They are then subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale of 1–10, with 1 being the least clean to 10 being the most clean. The mean rating for detergent A is found to be significantly greater than the mean rating for detergent B.
Which of the following is a valid conclusion?
Inferences can be made about the population of fabric from which the pieces were cut. The conclusion can be made that detergent A cleans better than detergent B for the fabric from these bolts.
Inferences cannot be made about the population of fabric from which the pieces were cut. The conclusion can be made that detergent A cleans better than detergent B for the fabric from these bolts.
Inferences can be made about the population of fabric from which the pieces were cut. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.
Inferences cannot be made about the population of fabric from which the pieces were chosen. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.
The conclusion about the detergents in the sampling is D.Inferences cannot be made about the population of fabric from which the pieces were chosen.
What is sampling?Sampling is the selection of a subset of individuals that are gotten from a statistical population in order to estimate the characteristics of the whole population.
In this case, inferences cannot be made about the population of fabric from which the pieces were chosen. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.
Learn more about sampling on:
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Define a polynomial that is a difference of squares. How do you know that it is the difference of squares? How is it factored?
Answer:
When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
Step-by-step explanation:
lol it’s on wassa name ;) mark me brainliest? Btw
Here you go, your equation should look a lot like this:
x²-16 -----> (x+4)(x-4).
The Width of a rectangle is a third as long as the length. If the perimeter is 24 inches, what is the area of the rectangle?
Answer:
27
Step-by-step explanation:
Width = w
length = l
w=1/3 * l
or, l=3w
perimeter=2l+2w=24
2(l+w)=24
2(3w+w)=24
2*4w=24
8w=24
w=3
l=9
Area=3*9=27
can someone help me please? I don't understand what I need to do
Answer:
You need to find what X= then put the answer in the box to the left
Step-by-step explanation:
Help ASAP giving 25 points
Just to read this handwriting please i really need it
Answer:
Solution:
The length of the arc part:
365 -60/360
x2x2x15=5/6 x2x2x15=252
Two segments: 2x15 = 30
All perimeter: (252 + 30) m
{divide into two parts?
Step-by-step explanation:
Is this what you wanted?
Find the areas of the composite figure.
Answer:
Step-by-step explanation:
Two years ago the Castillo family used $3,250 worth of electricity. Last year they switched to balanced billing averaged over 12 months. What was their monthly payment last year under balanced billing? During last year, they actually used $3,766 of electricity and their balanced billing payments were not enough to pay for their electrical usage. They had to pay the difference at the end of the year. How much did they owe the utility company?
The Castillo family made a monthly payment of $270.83 and they owed the utility company $516
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Two years ago the Castillo family used $3,250 worth of electricity. During last year, they actually used $3,766 of electricity, hence:
Monthly payment = $3250 / 12 = $270.83
Money owed = $3,766 - $3,250 = $516
The Castillo family made a monthly payment of $270.83 and they owed the utility company $516
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Concrete truck loaded with concrete was about 30 tons about how many pounds does the loaded concrete truck weigh
Answer:
30 tons of concrete
There are 2000 pounds in 1 ton
So 2000 pounds * 30 tons
30 * 2000 = 60000
60,000 pounds
Justin buys candy that costs $6 per pound. he will buy at most 9 pounds of candy. what are the possible amounts he will spend on candy? use for the amount (in dollars) justin will spend on candy. write your answer as an inequality solved for c.
Using proportions, it is found that the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].
What is a proportion?A proportion is a fraction of a total amount.
In this problem, each pound of candy costs $6, and he will buy at most 9 pounds, hence the maximum amount he will spend is given by:
M = $6 x 9 = $54.
Hence, the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].
More can be learned about proportions at https://brainly.com/profile/joaobezerra-15918078
In factorization, when you are factoring out a number, how do you know like which sign to out with it. Like if I’m factoring out 2 from a bracket. Which sign do I put with it ?
What is the length of LM?
Answer:
Step-by-step explanation:
The length of LM is 24√(3)
the short leg is 24
the hypotenuse is 24*2 = 48
find the volume for the shape below
A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?
Answer:
volume = 138 cm³
Step-by-step explanation:
Equation
volume of a prism = base area × height
Given:
base area = 23 cm²height = 6 cmSubstituting given values into the equation:
⇒ volume = 23 × 6
= 138 cm³
Is this a function pls someone tell me
Functions must pass the vertical line test. This means that for every x value there must be ONLY ONE y value.
We can see in this table that the x value 25 has two different y values. Therefore, this is NOT a function.
Hope this helps!
Answer:
yes
Step-by-step explanation:
If the line only goes through one point once than yes. Vertical line test.
Note: "While a function may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value. Function: each x-value has only ONE y-value!"
HELP ASAP!!! ILL GIVE LOTS OF POINTS AND BRAINLIST
PLEASE SHOW HOW YOU GOT THE ANSWER!
Answer:
4.04
Step-by-step explanation:
I like to turn my fractions into decimals when I do this. Volume is found by length*width*height. In this case, it would be 3.5*1.75*4.66
The volume would be about [tex]4ft^2[/tex]
PLEASE HELP MEEEEE!!!
20 POINTS + BRAINLYEST!!!!
(no links please)
Two functions, function A and function B, are shown below:
Function A
x y
7 21
8 24
9 27
Function B
the picture.
Which statement best compares the rate of change of the two functions? (1 point)
The rate of change of both functions is 2.
The rate of change of both functions is 3.
The rate of change of function A is greater than the rate of change of function B.
The rate of change of function B is greater than the rate of change of function A.
Answer:
The rate of change of function A is greater than the rate of change of function B
Step-by-step explanation:
[tex]\sf rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]
Function A
For every increase of 1 unit in x-values, the y-values increase by 3 units.
[tex]\sf rate \ of \ change=\dfrac{3}{1}=3[/tex]
Function B
For every increase of 1 unit in x-values, the y-values increase by 2 units.
[tex]\sf rate \ of \ change=\dfrac{2}{1}=2[/tex]
As 3 > 2, the rate of change of function A is greater than the rate of change of function B
The solution to an inequality is graphed on the number
line.
What is another way to represent this solution set?
-5 -4 -3
O {x | x <4.5)
O {x x 34.5}
O {x | x > 4.5)
O {x | x 2 4.5)
+
4 5
0
1
2
3
Answer:
Option b is the answer.
Step-by-step explanation:
As you can see in the image you have given, the x values that are less than or equal to 4.5 are the elements of the solution set.
Find the unknown coordinate for each reflection.
Figure ABCDE is reflected across the y-axis to
form figure A'B'C'D’E
Answer:
A'=(-3,6)
B'=(-5,5)
C'=(-4,2)
D'=(-2,2)
E'=(-1,4)
Step-by-step explanation:
Simply keep the y coordinate the same on all of the points on the preimage and make the x coordinates negative.
Hope this helps!!!
Solve the equation:
[tex]6-(3w+1) = 8w-2[/tex]
Step-by-step explanation:
please mark me as brainlest
[tex]===================================[/tex]
Step 1:
Use the Distributive Property:
[tex]\hookrightarrow\sf{-(3w+1)=-3w-1}[/tex]
Hence, the equation is
[tex]\hookrightarrow\sf{6-3w-1=8w-2}[/tex]
Move 8w to the left side
[tex]\hookrightarrow\sf{6-3w-1-8w=-2}[/tex]
Combine Like Terms
[tex]\hookrightarrow\sf{6-3w-8w-1=-2}[/tex]
Simplify
[tex]\hookrightarrow\sf{6-11w-1=-2}[/tex]
Move 6 and 1 to the right
[tex]\hookrightarrow\sf{-11w=-2+1-6}[/tex]
[tex]\hookrightarrow\sf{-11w=-7[/tex]
Divide both sides by -11
[tex]\hookrightarrow\sf{w=7/11}\\=============================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge Is Power!4. A line on a graph is represented with the equation y = = -3x-9.
What is the equation for the image of this line after a reflection over the mirror line y = x?
Oy=3x– 9
O y=-1/3x-3
Oy=-1/3x+3
O y= 3x+9
Help on this please.
Answer:
total - given, 360 -139 = 221