Answer:
D) -31
Step-by-step explanation:
use PEMDAS
3^2-(5 x 2^3)
3^2-(5 x 8)
3^2-40
9-40
-31
A farmer wants to enclose a rectangular field of 15,000 ft^2. It’s width is 470 ft less than its length. What are the dimensions of the field.
Given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:
Length = 500 ftWidth = 30 ftRecall:
Area of rectangle: A = length x widthGiven:
Area of rectangular field = 15,000 sq. ftlength = lwidth = l - 470Required:
Dimensions of the field (the length and the width).Thus, using the area formula, the equation below is derived:
[tex](l)(l - 470) = 15,000[/tex]
Solve for l[tex]l^2 - 470l = 15,000\\\\l^2 - 470l - 15,000 = 0\\\\[/tex]
Factorize[tex](l + 30)(l - 500) = 0\\\\[/tex]
[tex]l = -30 $ or $ l = 500[/tex]
We will go with the positive value, which is 500.
Therefore, the length of the rectangular field is 500 ft.
Width = l - 470
Plug in the value of lWidth = 500 - 470
Width = 30 ft
Therefore, given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:
Length = 500 ftWidth = 30 ftLearn more here:
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A Matrix of 1xM is called as ______.
Answer:
row matrix
Step-by-step explanation:
A matrix with only 1xmis called a ______ matrix
3
Abox of cereal states that there are 84 calories in a
4
-cup serving. What is the unit rate for calories
per cup? How many calories are there in 4 cups of the cereal?
Answer:
21 calories per cup
Step-by-step explanation:
4cups↔84calories
1cup ↔less
1/4x84=21calories
Subtract 8 1/6 - 4 5/6 Simplify the answer and write as a mixed number.
Answer: A
Step-by-step explanation:
Ants love to eat Whales. You learn something new everyday! :)
Find the volume of the composite solid.
Answer:
The answer would be c
Step-by-step explanation:
Answer:
B, if not then it's D
Step-by-step explanation:
The length of the hypotenuse of a right triangle is one unit more than twice the height. What is the height of the triangle if the base is 8?
The height of the triangle if the base is 8 is 3.96 units
Given the following parameters
Base of a triangle = 8 units
Let the hypotenuse be "c"
Let the height be "h"
If the length of the hypotenuse of a right triangle is one unit more than twice the height, then;
c = 2h + 1
According to the Pythagoras theorem:
c² = b² + h²
(2h + 1)² = 8² + h²
Expand
4h²+4h+1 = 64 + h²
4h²-h² + 4h + 1 - 64 = 0
3h² + 4h - 63 = 0
Factorize the result
On factorizing, the value of the height is 2
h = [tex]\frac{-2}{3}+\frac{\sqrt{193} }3\\[/tex]
h = 11.89/3
h = 3.96 units
Hence the height of the triangle if the base is 8 is 3.96 units
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Solve for X
Marking you the brainliest provided you got it right and with step by step explanation
Answer: x=68 °
Step-by-step explanation:
The sum of the angles h in the n-gon is calculated by the formula :
[tex]\displaystyle \rm S=180(n-2)[/tex]
where n is the number of sides
Then the sum of all the corners of the pentagon is equal to
[tex]\rm S=180(5-2)=540 \\\\[/tex]
[tex]\displaystyle x+(x+60)+(x+80)+(x+40)+(x+20)=540 \\\\ 5x+200=540 \\\\ 5x=340 \\\\ \boxed{x=68^{\circ}}[/tex]
Its a Pentagon
[tex]\\ \sf\longmapsto x+x+60+x+40+x+80+x+20=540[/tex]
[tex]\\ \sf\longmapsto 5x+200=540[/tex]
[tex]\\ \sf\longmapsto 5x=540-200[/tex]
[tex]\\ \sf\longmapsto 5x=340[/tex]
[tex]\\ \sf\longmapsto x=340/5[/tex]
[tex]\\ \sf\longmapsto x=68[/tex]
which rule explains why these triangles are congruent?
SAS
SSS
AAS
ASA
These triangles cannot be
proven congruent.
PLEASE DO!! will give brainliest
Which statement correctly describes the end behavior of the function f(x) = x2 – 2x + 8?
Answer:
3
Step-by-step explanation:
in both f approaches +infinity
Charles has read 180 pages of a book. This is of the total number of pages in the book. If p represents the number of pages in the book, what is p?
Answer:
More than 180. It needs more info to have an actual answer.
Answer: I believe it would be 180 considering he has 180 pages in a book and you wanna know how many pages he has it would be 180 hoped this helped love ✨
Step-by-step explanation:
SHOW YOUR WORK. Algebra question. 100 POINTS. Easy
Answer:
x = 3/2Step-by-step explanation:
Add up the given equations t eliminate y and solve for x:
3x + 2y + 3x - 2y = 4 + 56x = 9x = 9/6x = 3/2Your choice is correct
What is the difference?
Х
1
x?+3x+2 (x+ 2)(x+1)
(x+2)(x+1)
X-1
6x+4
-1
4x+2
1
X+ 2
x-1
x² + 3x+2
2
Step-by-step explanation:
your correct answer is the last one (x-1)/x²+3x+2.
the second equation lcm will be x²+3x+2 if you expand it .
hope this helps you.
The difference of the Expression is (x -1) / (x² + 3x + 2).
What is Expression?In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows:
(Number/variable, Math Operator, Number/variable) is an expression.
We have,
x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)
Now, simplifying the expression as
x/ (x² + 3x + 2) - 1/ (x+ 2)(x+ 1)
= x/ (x² + 2x + x + 2) - 1/ (x+ 2)(x+ 1)
= x/ x(x+ 2) + (x+ 2) - 1/ (x+ 2)(x+ 1)
= x/ (x+2) (x+1) - 1/ (x+ 2)(x+ 1)
= (x-1) / (x+ 2)(x+ 1)
= (x -1) / (x² + 3x + 2)
Thus, the difference of the Expression is (x -1) / (x² + 3x + 2).
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According to the laws of physics, the weights of objects on the Earth are proportional to their weights on the Moon. A boy who weighs 66 lb on Earth weighs 10.92 lb on the Moon. How much will a man who weighs 185 lb on Earth weigh on the Moon? Round your answer to the nearest tenth.
A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon
Two variables are said to be directly proportional if as one variable increases/decreases, the other variables does the same by the same amount.
Let y represent the weight of object on earth and x represent the weight of object on the moon.
y ∝ x
y = kx
When y = 66, x = 10.92, hence:
66 = 10.92k
k = 6
When y = 185 lb:
185 = 6x
x = 30.8 lb
A man who weighs 185 lb on Earth weighs 30.8 lb on the Moon
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Answer:
30.8lb
Step-by-step explanation:
A fruit basket has 16 apples and 6 bananas in it. What is the ratio of bananas to apples in the fruit basket?
i believe it is 6: but I dont know for sure
Guys please help out with this asap ! thanks
Choose the scientific notation for 800.
O 8 x 10
O 8 x 102
O 8 x 103
O 8 x 100
Answer:
O [tex]8 * 10^2[/tex]
Step-by-step explanation:
Hope it helps
Peace out
^^ ^-^ :) ;) ~-~
Jessie recently drove to visit her parents who live 570 miles away. On her way there her average speed was 25 miles per hour faster than on her way home (she ran into some bad weather). If Jessie spent a total of 19 hours driving, find the two rates (in mph). Round your answer to two decimal places, if needed.
Jessie's average speed to her parents' house: ___________ mph
Jessie's average speed from her parents' house: ___________ mph
Answer:
Step-by-step explanation:
Let v be her average speed from her parents house
Let t₁ be the time traveled to parents house
Let t₂ be the time traveled from parents house
t₁ + t₂ = 19
t₁ = 19 - t₂
as the distance does not change, we can equate two velocity•time statements
vt₂ = (v + 25)t₁
vt₂ = (v + 25)(19 - t₂)
vt₂ = 19v - vt₂ + 475 - 25t₂
2vt₂ = 19v + 475 - 25t₂
vt₂ = 570 and t₂ = 570/v
2(570) = 19v + 475 - 25(570/v)
1140 = 19v + 475 - 14,250/v
665 = 19v - 14,250/v
665v = 19v² - 14250
0 = 19v² - 665v - 14250
0 = v² - 35v - 750
quadratic formula
v = (35 ±√(35² - 4(1)(-750))) / 2
v = (35 ± 65) / 2
v = - 15 mph which we ignore as she did not spend hours driving backwards
or
v = 50 mph is average speed from parents house
v + 25 = 75 mph is average speed to parents house.
the trip to took 570/75 = 7.6 hrs
the trip from took 570/50 = 11.4 hrs. total of 19 hrs.
Multiply. Write your answer as a fraction in simplest form.
8
X
9
Answer:
40/54 = 20/27
Step-by-step explanation:
Draw a Graph y=3/2x+2
The answer is in the graph.
Answer:in the picture
Step-by-step explanation:
please give me a brainliest answer
Solve for x. 5x = 60
Answer:
[tex]x = \frac{60}{5} = 12[/tex]
..........................................
e. A set of observations has a mean of 9.0 and standard deviation 4.0. Another set of 20 observations has a mean of 10.0. Given the standard deviation of the combined set of 35 observations is 3.0, find the variance of the second set.
From the combined standard deviation, with the mean, and standard
deviation of the data sets, the required variance can be found.
[tex]\underline{\mathrm{The \ variance \ of \ the \ second \ set \ is} \ 4\dfrac{5}{28}}[/tex]Reasons:
The given data information are;
Mean of the first set of observation, [tex]\overline x_1[/tex] = 9.0
Standard deviation of the the first set, σ₁ = 4.0
Sample size of second observation, n₂ = 20
Mean of second sample, [tex]\overline x_2[/tex] = 10
Standard deviation of the combined set, σ₁₂ = 3.0
Sample size of combined set of observation, n₂ = 35
Solution:
The number of elements in the second sample, n₁ = 35 - 20 = 15
The standard deviation of the combined set is given by the formula;
[tex]{\sigma_{12}} = \mathbf{\sqrt{\dfrac{n_1 \cdot \left ( \sigma^2_{1}-d_1^2 \right ) + n_2 \cdot \left ( \sigma^2_{2}-d_2^2 \right )}{n_{1}+n_{2}}}}[/tex]
Where;
[tex]\overline x_{12} =\mathbf{\dfrac{n_1 \cdot \overline x_1 +n_2 \cdot \overline x_2 }{n_1 + n_2}}[/tex]
Therefore;
[tex]\overline x_{12} =\dfrac{15 \times 9.0 +20 \times10.0 }{15 + 20} = \dfrac{67}{7}[/tex]
d₁ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_1}[/tex]
[tex]d_1 = \dfrac{67}{7} - 9.0 = \dfrac{4}{7}[/tex]
d₂ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_2}[/tex]
[tex]d_2 = \dfrac{67}{7} - 10.0 = -\dfrac{3}{7}[/tex]
Therefore;
[tex]3=\sqrt{\dfrac{15 \times \left ( 4.0^2-\left(\dfrac{4}{7}\right) ^2 \right ) + 20 \cdot \left ( \sigma^2_{2}-\left(-\dfrac{3}{7}\right) ^2 \right )}{15+20}}[/tex]
Solving gives;
[tex]Variance, \ \sigma^2_2 = \mathbf{\dfrac{{117} }{28}}[/tex]
[tex]\mathrm{The \ variance \ of \ the \ second \ set, \ \sigma_2^2} = \dfrac{{117} }{28} = 4\dfrac{5}{28}[/tex]
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Urgent.. Please somebody help me with this it due by tomorrow
Archimedes drained the water in his tub. The amount of water left in the tub (in liters) as a function of time (in minutes) is graphed. How much water was initially in the tub?
Answer:
y+zx=a (see below for variables
Step-by-step explanation:
You haven't attached an image, so I'll I assume you want the equation
y is amount of water, x is time, z is water drained per minute, and a is the original amount o water
y=a-zx
rearranging it for the original amount of water
y+zx=a
Answer:
360 liters
Step-by-step explanation:
The time when the draining began is the same as 0 minutes since the beginning of the draining. So we need to look for the point on the graph where Time is 0, which is the y-intercept. The point we are looking for is (0,360), which means that at the beginning of the draining, there were 360 liters of water in the tub.
Find the value of (64)1/2x(125)1/3
Use the distributive property.
4(5x + 3y – 7) = 20x + 12y + [?
Having a hard time with the last one.
Answer:
-28
Step-by-step explanation:
20x+12y-28=20x+12y+[?
subtract like term so 20x-20x and 12y-12y
therefore -28 =[?
what is 512 grams in pounds
Answer:
1.12877
Step-by-step explanation:
You could also round it to the nearest tenth and just say 1.1 pounds
Answer:
1.12877 pounds
Step-by-step explanation:
For an approximate result, divide the mass value by 454.
1 gram = 0.00220462 pounds
solve pls brainliest
Step-by-step explanation:
-4+13=9
-16-(-29)=13F lower
Solve the equation 3x2 +5=4x
Step-by-step explanation:
the roots are complex
the answer is in the image above
HELP! DUE SOON! X^2=6
Answer:
x² = 2
x = sqrt. of 6
x = (+-)2.449
Step-by-step explanation:
brainliest plz
Wesley willed his estate to Margaret,
no b Betty Jo, and Johnny. He gave Margaret
$20,000. Betty Jo got 22 times as much as
Margaret. Johnny got 32 times as much
as Margaret. What was the total value of
the estate?
Answer:
1,100,000
Step-by-step explanation:
20000 + 22(20000) + 32 (20000)= 55 (20000)= 1,100,000
Answer:
1,100,000
Step-by-step explanation: