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The length of a rectangle is (x-8)units, and its width is (x+11) units. Which expression can represent the area of the rectangle?
Answer:
(x²+3x-88) square units
Step-by-step explanation:
Area of a rectangle = Length × Width
Given
length of a rectangle is (x-8)units
Its width is (x+11) units.
Required
Expression for the area of the rectangle
Substituting the given function into the formula.
Area of the rectangle = (x-8)(x+11)
Area of the rectangle = x(x)+11x-8x-88
Area of the rectangle = x²+3x-88
Hence the expression that represents the area of the rectangle is x²+3x-88 units²
Answer:
x² + 3x - 88
Step-by-step explanation:
A monthly service fee to download e-books is $4.95 plus $3.99 per book downloaded write an equation that represents the total cost see in a month when B books are downloaded explain how your equation represents the problem
Answer:
c=4.95+3.99b
Step-by-step explanation:
When there are no books, the service fee still applies, so when b=0, c=$4.95.
For each book downloaded $3.99 is added to the charge. The service fee is only charged once a month.
c=4.95+3.99b
Subtract 25.45 from 51.82. Give your answer to 2 decimal places.
Round your answer to one decimal place.
Answer:
Answer is, 26.4
Step-by-step explanation:
By subtracting 51.82 by 26.37, you're left with a total of 26.37, and by rounding that to the tenths place, you get 26.4
4.33 Always plot your data! Table 4.1 presents four sets of data prepared by the statistician Frank
Anscombe to illustrate the dangers of calculating without first plotting the data.12
TABLE 4.1 Four data sets for exploring correlation and regression
Data Set A
10
8
13
9
11
14
6
12
5
y 8.04
6.95
4.82
5.68
7.58
13
8.818.33 9.96 7.24 4.26
11 14 6
10.84
12
10
8
9
Data Set B
y
9.14
8.14
8.77
8.10
6.13
3.10
9.13
7.26
4.74
8.74
13
9.26
11
2
Data Set C
10
00
8
9
14
6
4
12
5
y 7.46
6.77
7.81
8.84
5.39
8.15
6.42
12.74
8
7.11
8
6.08
8
5.73
19
8
8
8
8
Data Set D
8
8
8
y 6.58 5.76 7.71
8.848.47 7.04 5.25 5.56
791
6.89
12.50
a. Without making scatterplots, find the correlation and the least-squares regression line for all four data
sets. What do you notice? Use the regression line to predict y for x = 10.
b. Make a scatterplot for each of the data sets and add the regression line to each plot.
c. In which of the four cases would you be willing to use the regression line to describe the dependence of
y on ar? Explain your answer in each case.
How many grams are in 2.34ml????
2,340 g
234 g
.00234 g
.0234 g
Answer:
2.34 grams
Step-by-step explanation:
In this problem, we need to find how many grams in 2.34mL. To solve the problem, we must know the relationship between grams and millilitre.
We know that,
1 milliitre = 1 gram
Hence,
2.34 mL = 2.34 grams.
B.Give another name for plane C
C. Name three collinear points:
D. Name a line segment:
E. Name the ray that is opposite AD:
Answer: B) plane FDE
C) points D, A, and E
D) [tex]\overline{FA}[/tex]
E) [tex]\overrightarrow{AE}[/tex]
Step-by-step explanation:
B) A plane is identified by 3 points where at least one of them is not on the same line as the other two.
C) Collinear means "same line".
D) A segment is represented by a bar over the letters of the two points.
E) Ray AD has a starting point at A and passes through D. The opposite ray will start at point A and go in the opposite direction.
Can someone help me with this problem: Solve m/5 =4. m =
Answer:
m is equal to 20.
Step-by-step explanation:
20/5=4
What is 1 6/8 of 16
Answer:
I'm pretty sure its 28?
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
16/8 means 2.
And 2 is multiplied by 16.
which means 32.
Evaluate the function f(x) = -212-3x + 5 for the input value-3.
Answer:
f(-3)=-198
Step-by-step explanation:
Function: f(x) = -212-3x + 5
x=-3
First substitute -3 for x:
f(-3)=-212-3(-3)+5
Next multiply -3 by -3:
-3*-3=9
f(-3)=-212+9+5
-212+9=-203
f(-3)=-203+5
-203+5=-198
f(-3)=-198
I hope this helped you.
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Have a great day!!!!!!!!!!!!!!!!!!!!
The area of a football field is 57,600 square feet. If the width of the field is 4/9 the length, what is the length of the football field ?
Answer:
360 ft
Step-by-step explanation:
GivenArea = 57600 ft²Length = xWidth = 4/9xSolutionA = lwx*4/9x = 576004/9x²= 57600x² = 57600*9/4x² = 129600x = √129600x = 360 ftA dot-com company ships products from three different warehouses (A, B, and C). Based on customer complaints, it appears that 3% of the shipments coming from A are somehow faulty, as are 5% of the shipments coming from B, and 2% coming from C. suppose a customer is mailed an order and calls in a complaint the next day. What is the probability the item came from Warehouse C
Answer:
The probability of getting defective product from warehouse C is 0.3448
Step-by-step explanation:
Missing question "Assume that Ware houses A, B and C ship 30%, 20% and 50% of the dot-com's sales respectively.
P(A) = Probability of product that comes from warehouse A
P(B) = Probability of product that comes from warehouse B
P(C) = Probability of product that comes from warehouse C
P(A) = 30% = 0.30, P(B) = 20% = 0.20, P(C) = 50% = 0.50
Let D denotes the number of defective products
P(D|A) = 3% = 0.03
P(D|B) = 5% = 0.05
P(D|C) = 2% = 0.02
The probability of getting defective product from warehouse C is as below using the Bayes Rule
P(C|D) = P(D|C) P(C) / P(D|A)P(A) + P(D|B)P(B) + P(D|C)P(C)
P(C|D) = 0.02 * 0.50 / (0.03*0.30) + (0.05*0.20) + (0.02*0.50)
P(C|D) = 0.01 / 0.009 + 0.01 + 0.01
P(C|D) = 0.01 / 0.029
P(C|D) = 0.3448
Therefore the probability of getting defective product from warehouse C is 0.3448.
The measure of the supplement of an angle is 36 less than the measure of the angle. Find the measures of the angles.
Answer:
∠1 → 108
∠2 → 72
Step-by-step explanation:
Supplementary angles add up to a total of 180° (two angles is a pair). So:
∠1+∠2=180°
∠1 → supplement
∠2 → 36 less than the supplement
Create an equation, using x as angle 1 and y as angle 2:
[tex]x+y=180[/tex]
Insert the given values:
[tex]x+(x-36)=180[/tex]
Solve for the value of x. Simplify parentheses:
[tex]x+x-36=180[/tex]
Simplify addition:
[tex]2x-36=180[/tex]
Add 36 to both sides:
[tex]2x-36+36=180+36\\\\2x=216[/tex]
Isolate the variable. Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{216}{2}\\\\ x=108[/tex]
The value of x is 108. Insert this into the equation above:
[tex]x+y=180\\\\108+y=180[/tex]
Solve for y. Subtract 108 from both sides:
[tex]108-108+y=180-108\\\\y=72[/tex]
The value of y is 72.
Therefore:
∠1 → 108
∠2 → 72
:Done
*Check:
Insert the values into an equation set to 180 to determine if true:
[tex]108+72=180\\\\180=180[/tex]
Subtract 108 by 72 to see if the difference is 36:
[tex]108-72=36\\36=36[/tex]
The given values are true.
Supplementary angles add up to [tex]180^o[/tex]
The angles are 72 and 108
Let the angles be x and y.
Such that:
[tex]y = x - 36[/tex]
So, we have:
[tex]x + y = 180[/tex] --- sum of supplementary angles
Substitute [tex]y = x - 36[/tex]
[tex]x + x - 36 = 180[/tex]
[tex]2x - 36 = 180[/tex]
Collect like terms
[tex]2x = 36 + 180[/tex]
[tex]2x = 216[/tex]
Divide by 2
[tex]x = 108[/tex]
Recall that:
[tex]y = x - 36[/tex]
[tex]y = 108 - 36[/tex]
[tex]y = 72[/tex]
Hence, the angles are 72 and 108
See attachment for the illustration of the angles
Read more about supplementary angles at:
https://brainly.com/question/18164299
What is the equation of the line that is parallel to Y= -2/3x+4 and that passes through (-2, -2)
Answer:
y = -2/3x-10/3
Step-by-step explanation:
Y= -2/3x+4
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -2/3
Parallel lines have the same slope
y = -2/3 x+b
Substitute the point into the equation
-2 = -2/3 (-2) +b
-2 = 4/3 +b
Subtract 4/3 from each side
-6/3 -4/3 = 4/3 -4/3 +b
-10/3 = b
y = -2/3x-10/3
Without using a calculator, choose the statement that best describes the value of the square root of 86
The value of squre root 86 is between 9 and 9.5
The value of squre root 86 is between 9.5 and 10
The value of squre root 86 is between 10 and 10.5
The value of squre root 86 is between 10.5 and 11
Answer:
Step-by-step explanation:
The value of square root 86 is between 9 and 9.5
-1 2/3 and -1/4 as an inequality
If Jan sells 2,500 glow sticks on the Fourth of July at $1.99 each, what will her total profit be if each stick cost her $0.87?
Answer:
This could be wrong I would get a second opinion
The profit would be 2800
Step-by-step explanation:
$1.99 - .87 = $1.12
$1.12 x 2500 = 2800
Is 9/15 a rational or irrational number
Answer: rational
Step-by-step explanation:because a fraction is a rational number
9/15 is a rational number.
What is a rational number?A rational number is a number of form p/q where q is not zero and p and q are integers.
How to understand that 9/15 is rational?Clearly, from the definition, we can observe that 9/15 has a non-zero integer denominator and the numerator is also an integer which leads to the conclusion that 9/15 is a rational number.
Hence, 9/15 is a rational number.
Learn more about rational numbers from https://brainly.com/question/17450097?referrer=searchResults
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the sum of two fractions is 31/4 if one of them is 17/6 find the other
X If $7500 was compounded annually for 8 years at a rate of .23% how much will it be
worth?
Correct answers
7639.11
7639.12
7,639.11
7,639.12
Answer:
$7639.12
Step-by-step explanation:
We use the compound formula for accrued value (A) for a principal P deposited at an annual rate "r" over t years
[tex]A = P (1+r)^t[/tex]
In our case, with the given information, the formula becomes:
[tex]A = P (1+r)^t\\A=7500 \,(1.0023)^8\\A = 7639.11602[/tex]
which rounded to the nearest cent gives: $7639.12
What is the value of x?
Answer:
2x+2=58
2x=58-2=56
divide both sides by 2
x=28
What is 3.08 x 12.4 ?
Answer:
=38.192x
Step-by-step explanation:
I hope this helps you
Help please! I got the answer wrong the first timee and im having trouble understanding!!!
Answer:
the answer is 30 because if x = 3 they you would do 8x3 and get 24 then add the 6 to get 30
Step-by-step explanation:
Plz give brainly
Answer:
if x is three then 8x is 8×3 which is 24 then plus 6 is equal to 30
A rectangular yard measuring 32ft by 50ft is bordered (and surrounded) by a fence. Inside, a walk that is 3ft wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.
Answer:
528 feet squared
Step-by-step explanation:
the yard has a width of 32 feet and a length of 50 feet. -- area of the yard is 1600 ft sq. The walkway is 3 feet wide throughout the fence, meaning you add 6 to 32 and 6 to 50 to get your measurements for the yard + fence area. -- is equal to 2128
Then you subtract the total fence + yard area from the yard area -- 2128 - 1600 which equals 528 feet sq.
What is 1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X1 X 1 X0
Answer: zero
Step-by-step explanation: anything multiplied by zero ALWAYS equals zero.
Answer:
0
Step-by-step explanation:
Anything times zero will equal zero!
Plz answer this i will mark u brianiest
Answer:
56 is 80% of 70
Step-by-step explanation:
Number line on top, two ticks are 35 & 56.
Number line on bottom, two ticks are 50% & 80%.
So, 56 is 80% of 70
Hope this helps!
Plz give brainliest if possible!
An auto dealership is advertising that the cost of leasing a new car is $450 per month with a $1,500 down payment. The equation used to find c, the total cost of the lease, is
c
=
450
m
+
1
,
500
,
c
=
450
m
+
1
,
500
,
where m is the number of months the car is leased. What is the cost, in dollars, of leasing a car for 32 months?
Answer:
15,900
Step-by-step explanation:
An equation is a way of writing two expressions connected by an equal sign.
If the total cost of leasing a car in m month is given by an equation:
c = 450m + 1500
The total cost in dollars, of leasing a car for 32 months is $15,900.
What is an equation?An equation is a way of writing two expressions connected by an equal sign.
Example:
2x = 3x + 5 is an equation.
We have,
The cost of leasing a new car per month = $450
Down payment = $1500
The total cost of the lease is given as:
c = 450m + 1500
m = number of months.
The total cost of the car for leasing in 32 months:
c = 450 x 32 + 1500
c = 14,400 + 1500
c = 15,900
Thus,
The total cost in dollars, of leasing a car for 32 months is $15,900.
Learn more about equations here:
https://brainly.com/question/17194269
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The sum of three numbers is 106. The second number is 4 more than three times the first number. The third number is 6 less than twice the first number. Find the three numbers.
Step-by-step explanation:
let three no. be x, y, z
y=3x+4
z=2x-6
x+3x+4+2x-6=106
6x=108
x=18
Three numbers are 18, 3 (18)+4, 2 (18)-6
=18,58,30
20 points
Tina is saving to buy a notebook computer. She has two options. The first option is to put $300 away
initially and save $20 every month. The second option is to put $100 away initially and save $40 every
month. After how many months would Tina save the same amount using either option? How much
would she save with either option?
After
months, Tina will save $
with either option.
Answer:
10 months
$500
Step-by-step explanation:
Option 1
300 + 20x, where x is the number of monthsOption 2
100 + 40xBoth options reveal same amount:
300 + 20x = 100 + 40x300 - 100 = 40x - 20x200 = 20xx = 200/20x= 10 monthsCost of notebook:
300 + 20*10 = 300 + 200 = $500Ten more than the quotient of a number and 3 is 12
Find class boundaries, midpoint, and width for the class. 57-61
Answer:
The answer would be -4
