Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
X+7
X+1
Area=
ASAP!!!!!!
Answers
Answer:
Area = x² + 8x + 7
Step-by-step explanation:
Area of a rectangle formula = L * W
Length (L) of the given figure = (x + 7)
Width (W) of the given figure = (x + 1)
Area = L * W
Area = (x + 7) * (x + 1)
=> x * x = x²
=> x * 1 = 1x or x
=> 7 * x = 7x
=> 7 * 1 = 7
Combining it all together;
Area = x² + 1x + 7x + 7
Combine the like terms:
Area = x² + 8x + 7
Hope this helps!
The area of the entire rectangle in the polynomial form will be x² + 8x + 7.
What is the area of the rectangle?Let W be the rectangle's width and L its length. The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be given as,
Area of the rectangle = L × W square units
The dimensions of the big rectangle are x + 1 high and x + 7 long. Then the area of the rectangle is calculated as,
A = (x + 7)(x + 1)
Simplify the equation, then we have
A = (x + 7)(x + 1)
A = x² + 7x + x + 7
A = x² + 8x + 7
More about the area of the rectangle link is given below.
https://brainly.com/question/20693059
#SPJ2
Related Questions
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
18y – 3.x = -90
Answers
Answer:
The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of x when y = 0).
In this question:
[tex]18y - 3x = -90[/tex]
Isolating y:
[tex]18y = 3x - 90[/tex]
[tex]y = \frac{3x}{18} - \frac{90}{18}[/tex]
Simplifying the fractions:
[tex]y = \frac{x}{6} - 5[/tex]
The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]
What are the equation and slope of the line shown on the grid ?
F y = 6; slope is zero
G x = 6; slope is zero
H y = 6; slope is 6
J x = 6; slope is undefined
Answers
Answer:
The answer is J x= 6; slope is undefined
Step-by-step explanation:
iTS undefined because it's a line
The answer is J
The reason the line is unidentified is because it is going straight up and the slope is unable to be determined.
Write the equation of the line that passes through
the points (-1,2) and (6, 3) in slope-intercept form
Answers
m = y2 - y1/x2 - x1
x1 = 6
x2 = -1
y1 = 2
y2 = 3
m = 3 - 2/6 +1
m = 1/7
from this point we now have y = 1/7x + b
all we now need is “b” (intercept) and to find that we’ll plug in one of our given points and solve for b.
3 = 1/7(6) + b
b = 2.14
with the slope and the intercept we have our answer :
y = 1/7x + 2.14
hope this helps !
% of 400,000 = 100,000
Answers
Answer:
25%
Step-by-step explanation:
100,000/400,000 x 100
= 1/4 x 100
= 25%
Hence, 100,000 is 25% of 400,000
Feel free to mark this as brainliest :D
Answer:
x/100 x 400,000 = 100,000
x100 x100
400,000x = 10,000,000
Divide by 400,000 on both sides:
X = 25%
The cost of cleaning up pollution in a stream is given by C = 37000 100−p, where C is the cost in dollars to clean p percent of the stream. Find and interpret C(20)
Answers
Answer:
$462.5
Step-by-step explanation:
Given the cost function expressed as;
C = 37000/100−p
To get C(20), we will substitute p = 20 into the expression and get C as shown;
C(20) = 37000/100-20
C(20) = 37000/80
C(20) = 462.5
Hence the cost needed to clean 20% of the stream is $462.5
Which product is represented by the model below
Answers
Answer:
A. 3/8*2=6/8
Step-by-step explanation:
Think about a whole number as (whole number)/1
(2/1)
Then multiply
3/8*2/1=6/8
Hope that helps!
Consider the equation 5 – 3(2x – 7) = 12 – 5(x – 2). Is x = 2 a solution to this
equation? Is x = 4 a solution to this equation? Explain your reasoning in each case
Answers
Answer:
see below
Step-by-step explanation:
5 – 3(2x – 7) = 12 – 5(x – 2)
Substitute x=2
5 – 3(2*2 – 7) = 12 – 5(2 – 2)
5 – 3(-3) = 12 – 5(0)
5 - 3*(-3) = 12
5+9 = 12
14=12
This is false so it is not a solution
5 – 3(2x – 7) = 12 – 5(x – 2)
Substitute x=5
5 – 3(2*4 – 7) = 12 – 5(4 – 2)
5 – 3(8-7) = 12 – 5(2)
5 - 3*1 = 12-10
5-3 = 2
2=2
This is true so it is a solution
you want to create a 99 confidence interval with a margin of error of 25 assuming that the population standard deviation is equal to 1.5 what's the minimum size of the Rams Tampa
Answers
Answer:
The minimum sample size is 239.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation is equal to 1.5
This means that [tex]\sigma = 1.5[/tex]
Margin of error of 0.25
This means that [tex]M = 0.25[/tex]
What's the minimum size of the sample?
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.25 = 2.575\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.25\sqrt{n} = 2.575*1.5[/tex]
[tex]\sqrt{n} = \frac{2.575*1.5}{0.25}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*1.5}{0.25})^2[/tex]
[tex]n = 238.7[/tex]
Rounding up:
The minimum sample size is 239.
4(q-5) = 16
help pleaseee
Answers
Answer:
q = 9
Step-by-step explanation:
the key thing to understand in this problem is the distributive property. which basically means we can muliply what's on the interior of the parenthestes ( in this case q-5) by what's on the outside (4).
so 4 will distrubute to both the q and the -5
4q - 20 = 16
add 20 to both sides
4q = 36
divide both sides by 4
q = 9
What is the surface area of the prism?
Answers
Step 1: Find the area of the bases (triangles)
A = 1/2 * base * height
A = 1/2 * 16 * 6
A = 48
48 + 48 = 96
Area of the triangles = 96 cm^2
Step 2: Find the area of the sides (rectangles)
A = base * height
A1 = 16 * 12
A1 = 192
A2 = 10 * 12
A2 = 120
120 + 120 = 240
240 + 192 = 432 cm^2
Step 2: Add the areas together
96 + 432
528 cm^2
Hope this helps!! :)
Item 3 Which measurement is equivalent to 1 kilometer? 10 meters 100 centimeters 1,000 meters 1,000 centimeters
Answers
Answer:
1,000 meters
Step-by-step explanation:
Mr. Assan had 492 tickets left after the movie. He started with 2,009 tickets. How many tickets did Mr. Assan sell?
Answers
Answer:
1,517
Step-by-step explanation:
2,009 - 492 = 1,517
He started out with 2,009 he had 492 left over so subtract that from the amount he started out with and you get the answer
One hundred draws are made at random with replacement from box A, and 250 are made at random with replacement from box B. (a) 50 of the draws from box A are positive, compared to 131 from box B: 50.0% versus 52.4%. Is this difference real, or due to chance
Answers
Answer:
Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real
Step-by-step explanation:
Sample size A [tex]n_a=100[/tex]
Sample size B [tex]n_b=250[/tex]
Positive draw from box A [tex]n_a=50[/tex]
Positive draw from box b [tex]n_b=131[/tex]
Generally the equation for Probability of Positive draw from Box A is mathematically given by
[tex]P_1=\frac{50}{100}[/tex]
[tex]P_1=50%[/tex]
Therefore
[tex]1-P_1=50\%[/tex]
Generally the equation for Probability of Positive draw from Box A is mathematically given by
[tex]P_1=\frac{131}{250}[/tex]
[tex]P_1=52.4%[/tex]
Therefore
[tex]1-P_1=47.6\%[/tex]
Generally the equation for Standard error S.E is mathematically given by
[tex]S.E=\sqrt{\frac{n_1(p_1)*(1-P_1)}{n_1^2}+\frac{n_2(P_2(1-p^2))}{n_2^2}}[/tex]
[tex]S.E=\sqrt{\frac{100(0.50)*(50)}{100^2}+\frac{(250)(0.524(47))}{250^2}}[/tex]
[tex]S.E=0.592[/tex]
[tex]S.E=59.2\%[/tex]
Therefore
[tex]Z=\frac{50-52.4}{59.2}[/tex]
Generally
[tex]P value P>0.05[/tex]
Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real
What is the meaning of amplitude and period in math?
Answers
Answer:
See below
Step-by-step explanation:
For a wave function, the amplitude is the distance from the maximum or minimum of the function to the midline. The period is the length of which the wave cycle repeats (for example y=sinx has a period of 2pi).
Answer:
Amplitude is the height from the mean, or rest,value of the function to its maximum or minimum . ...The period is the distance required for the function to complete one full cycle. For the sin function, the amplitude is given by and the period is defined as. The same is true for a cosine function.
Step-by-step explanation:
☆hope it is helpful to you ☆
[tex]nisha[/tex]
Find the missing side. X is the hypotenuse 12 and 5 are the legs
Answers
Answer:
10.9
Step-by-step explanation:
Given that,
Hypotenuse = 12
One leg = 5
We need to find the another leg. Let it is b. We can solve it using Pythagoras theorem as follows :
[tex]H^2=h^2+b^2\\\\b^2=H^2-h^2\\\\b^2=12^2-5^2\\\\b=10.9[/tex]
So, another leg is 10.9.
Seven hundred twenty -one thousandths as a decimal
Answers
Answer:
0.721
Step-by-step explanation:
the last digit (the number '1') must be in the thousandths place; then work backward so the '2' would be in the hundredths and the '7' would be in the 'tenths'
find the radian measure of the angle 55°
Answers
Answer:
[tex]55 degree= \frac{\pi }{180}\times55=\frac{11\pi }{36} =0.9599 radians[/tex]
Step-by-step explanation:
[tex]180 degree= \pi radian\\1 degree= \frac{\pi }{180}\\55 degree= \frac{\pi }{180}\times55=\frac{11\pi }{36} =0.9599 radians[/tex]
A teenager earns $10 for every 600 square feet mowed in addition to $12 for supplies for each lawn he mows. Which function represents y, the teenager’s pay when he mows a lawn that is x square feet in size?
y = 10x + 600
y = 10x + 12
y = 1/60x + 12
y = 1/60x + 1/60
Answers
Answer: b
Step-by-step explanation: 600 is the total so, just do 10x and 12
SOMEBODY PLEASE HELP I NEED THIS ASAP
Answers
Answer:
a = 1000 cm²
Step-by-step explanation:
Center square
20 * 20 = 400cm²
------------------------
Triangle side
a = (1/2)(20)(15)
a = 150
There are 4 sides
a = 4 * 150
a = 600 cm²
-----------------------
Total area
a = 400 - 600
a = 1000 cm²
On Tuesday, 4 out of every 10 people who entered a store purchased something. If 8,800 people entered the store on Tuesday, how many people purchased something?
Answers
The women athletes in the BIG10 Schools have a long-term graduation rate of 73%. Over the past several years, a random sample of 23 women showed that 19 graduated. Does this indicate that the population proportion of women athletes who graduate from the BIG10 is now more than 73%
Answers
Answer:
This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%
Step-by-step explanation:
Here,
The null hypothesis is p = 0.73
Alternate hypothesis is p> 0.73
The level of significance = 0.10 or 10%
Sample size = 23
Sample proportion = 19/23 = 0.826
Z test statistics
= (p’-p)/Sqrt ((p(1-p)/n))
Substituting the given values, we get –
Z = (0.826-0.73)/Sqrt ((0.73(1-0.73)/23)) = 1.037
Thus, the P values for Z>1.037
= 1- P(Z less than or equal to 1.037)
= 1- 0.8501
= 0.150
P-value is greater than the level of significance
We will accept the null hypothesis
This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%
extend pattern 1,4,9
Answers
Answer:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100......
Step-by-step explanation:
This is a list of perfect squares.
1 is the square of 1. ( 1 x 1 = 2)
4 is the square of 2. (2 x 2 = 4)
9 is the square of 3. (3 x 3 = 9)
So, the next number would be the square of 4 which is 16 ( 4 x 4)
And so on.
a T-shirt increased in price by 1/7 after the increase it was a priced at £56. what was the original price?
Answers
Explanation: divide £56 by 7. each of the seven parts is equal to £8. Subtract £8 from £56 and the original price is £48.
Identify which property is used for: 62 x (-10) = (-10) x 62 *
Answers
Answer:
Commutative property of multiplication
Step-by-step explanation:
Properties of Multiplication:
Commutative:
Multiplying two or more factors in a different order.
ex: 2 x 4 x 5 = 2 x 5 x 4
Associative:
Multiplying factors in parenthesis with different grouping. usually to make the problem simpler.
ex: (13 x 4) x 25 = 13 x (4 x 25)
Distributive:
Distributing a multiplicand to factors in parenthesis.
ex: 2(4 - 1) = 2(4) - 2(1)
ex: 2(8+7) = 2(8) + 2(7)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The coordinates for three vertices of a rectangle are (0٫4)٫(8٫4) and (8٫1). What is the coordinates of the fourth vertex ? A : (1٫0) B : (8٫0) ٫ C : (0٫1) D : (0٫8)
Answers
Answer:
(0, 1): Answer D
Step-by-step explanation:
The three given vertices are (0٫ 4)٫(8٫ 4) and (8٫ 1). Note that the x-coordinates of two of these are both 8. The remaining x-coordinate of the fourth vertex is 0. Since the figure is a rectangle, there are two sets of parallel sides. If one side is x = 8, the opposite vertical side must be x = 0, since the remaining coordinate is 0. This side is a vertical line segment. The fourth and last vertex is at the intersection of x = 0 and y = 1; (0, 1): Answer D.
If 30 men can do a work in 8 days how many men can do the same work in 12 days
Answers
Answer:
Step-by-step explanation:
HELP ASAPPPP!!!!You are making a picture frame in the craft cabin at summer camp. The frame measures 9 inches by 12
inches. You measure the diagonal and it is 17 inches Is the frame rectangular? Explain your reasoning.
Answers
Answer:
yes
Step-by-step explanation:
euhm ... did u just asked if a figure with h=9inches and b=12inches is rectangular???
Does it matter what the diagonals are etc?
if the frame has angles of 90° and it has two different lengths then it has to be rectangular. The sides of a square would have the same lengths.
3. Find the volume of the following figure. 62 units 58 units 60 units) 64 units3
Answers
Answer:
60 units
Step-by-step explanation:
Its a 5 × 3 × 4 cube
To find volume multiply the dimensions and you will get 60
Answer:
60 units
Step-by-step explanation:
I did the test.
8 divided by two -thirds of x. PLS SOLVE THIS FOR ME ASAP
Answers
Answer:
12 [tex]x[/tex]
Step-by-step explanation:
8 divided by two-thirds of x is
⇒ 8/2/3 × [tex]x[/tex]
⇒ 8 × (3/2) [tex]x[/tex]
⇒ 8×3 [tex]x[/tex] / 2
⇒ 24 [tex]x[/tex]/ 2
∴ 12 [tex]x[/tex]
Which point is the image of point R(4, -7) first reflected across the x-axis and then across the y-axis?
Answers
Answer:
(-4, 7)
Step-by-step explanation:
It would be the exact opposite of point R because it was rotated about 180 degrees from it's original location