The dimensions of the rectangle are (2y – 7) units by (2y + 7) units
Area of a rectangleThe formula for calculating the area of a rectangle is expressed as
Area = length * width
Given the following parameter
Area = .4y² - 49
Factorize the area
Area = (2y)² - 7²
Using the difference of two square
Area = (2y - 7)(2 y + 7)
Hence the dimensions of the rectangle are (2y – 7) units by (2y + 7) units
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To rent a certain meeting room, a college charges a reservation fee of 13 and an additional fee of 6 per hour. The chemistry club wants to spend less than 73 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answe
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Step-by-step explanation:
The sphere at the right fits snugly inside a cube with 18-in. edges. What is the approximate volume of the space between the sphere and cube?
Answer:
2,778 in³
Step-by-step explanation:
Volume cube
v = 18³
v = 5,832
Volume sphere
v = (4/3)π9³
v = 3,053.6280592893
Volume space
v = 5,832 - 3,053.6280592893
v = 2,778.3719407107
2,778 in³
Answer:
Step-by-step explanation:
We need to first find the volume of the cube, then subtract from it the volume of the sphere. This is what we are being asked to find. First, the volume of the cube is length times width times height. Since this is a cube, all of the sides are the same length, making the volume
V = 18³ so
V = 5832 inches cubed. Now for the sphere.
The formula for the volume of a sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex] and we will use 3.1415 for π.
[tex]V=\frac{4}{3}(3.1415)(9)^3[/tex] which gives us
V = 3053.538
Subtracting the volume of the sphere from the volume of the cube:
V = 5832 - 3053.538
V = 2778.462 inches cubed
The weight of oranges growing in an orchard is normally distributed with a mean weight of 5 oz. and a standard deviation of 0.5 oz. From a batch of 1500 oranges, how many would be expected to weight less than 5 oz., to the nearest whole number?
Answer:
The interval that would represent weights of the middle 95% of all oranges from this orchard is from 5 oz to 7 oz.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 6
Standard deviation = 0.5
Middle 95% of weights:
By the Empirical Rule, within 2 standard deviations of the mean.
6 - 2*0.5 = 5
6 + 2*0.5 = 7
The interval that would represent weights of the middle 95% of all oranges from this orchard is from 5 oz to 7 oz.
What is the slope of the line shown below?
Answer: b
Step-by-step explanation:
Simplify for ez points!
Answer:A
Step-by-step explanation: divide both by 5 and you get 3/4 because 15 divided by 5 = 3 and 20 divided by 5 =4
Solve the angle using trigonometry
Answer:
Step-by-step explanation:
Um angle T and R don't exist on this triangle. Only sides and Angles A B C.
But remember Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
S o/h C a/h T o/a
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Answer:
2) $300
Step-by-step explanation:
I used the the following two points to find slope:
(9,400) and (8,350) to get a slope of 50
therefore, f(x) = 50x
f(6) = 50(6)
f(6) = 300
Expand and combine like terms.
(4b^2+ 3) (4b^2- 3) =
1
SEE ANSWER
Answer:
Step-by-step explanation:
(4b^2+3)(4b^2-3)
since it is the expanded form of formula a^2-b^2=(a+b)(a-b) we can write,
=(4b^2)^2-(3)^3
=16b^4-9
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Answer:
A. Yes, [tex]12\cdot 32> 360[/tex]
B. An underestimate could lead to you being stranded on a road trip in the middle of nowhere without guess. When it comes to these things, it's better to have more than necessary. After all, you'd rather have gas and not need it than need it and not have it.
Step-by-step explanation:
A. We can quickly calculate that 12 x 30 = 360. We need to travel 10 more miles to get to 370, but we have 2 miles per gallon and 12 gallons of gas, or 12 x 2 = 24 more miles! Upon further inspection it is evident that 12 x 32 = 360 + 24 = 384 which is indeed larger than 370.
B. Answer contains explanation.
if y=4x what does m equal
Answer:
m equals 4
Step-by-step explanation:
m represents the slope of the line.
The line equation is y = mx + b, which means that m = 4 and b = 0
inez sells 24.8 acres of land for 22,568 what is the price per acre
Answer:
£910
Step-by-step explanation:
You have to divide the amount of acres by the overall price.
Hope this helped
is 3 bigger than 3.3
Answer:
No.
Step-by-step explanation:
3.3 is bigger than 3 by .3: )
Answer:
no.
3.3 > 3
Step-by-step explanation:
please help if i don't pass I'm done
Answer:
500cm^3
Step-by-step explanation:
Can be divided intI a square and cuboid
Volume of square= Length^4
Volume= 5^3
V=125cm^3
Volume of cuboid= L× B × H
Volume= 15× 5× 5
Volume=375cm^3
375+125= 500
Solve for x algebraically x/4 ≤ 6
Answer:
x ≤ 24
Step-by-step explanation:
x/4 ≤ 6
Multiply each side by 4
x/4 *4 ≤ 6*4
x ≤ 24
Answer:
[tex]x\leq 24[/tex]
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
Based on the pattern in the picture, how many squares do you think will be used to create the 5th figure? make a table.
Answer:
I think it is 7 squares.
Step-by-step explanation:
As you can see they added 3 more squares to the first block which gave you 4. Then they added 5 squares to the second one. If you take the third block, you will count 7 squares on the outside of the third block.
What is taxes? What is Texas' tax rate?
helpppp!!!
Make a conjecture about the number of units produce in 50 hours
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Ronald was given the pair of equations shown below, which are in slope-intercept form (y = mx + b):
y = 3x − 2
y = 5x − 6
Part A: Ronald does not know how to solve the system of equations. Help him by writing the slope (m) and y-intercept (b) for each equation, and in your own words, explain how you can solve the pair of equations graphically.
Part B: Now that you have helped get Ronald started, solve the system and write the solution to the pair of equations in (x, y) format so Ronald can check his work and answer.
Step-by-step explanation:
y = mx +b
m - the slope; b- y-intercept
therefore;
y = 3x - 4
m = 6; b = -4
y = 5x - 3
m = 5; b = -3
The coordinates of the point where the lines are crossed are the solution to the system of linear equations.
How to graph the lines:
y = 6x - 4
y-intercept (0; -4)
for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)
y = 5x - 3
y-intercept (0; -3)
for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)
***look at the img for graph reference***
Part B: x = 1; y = 2
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Answer:
a mans car...
Step-by-step explanation:
a man's car breaks down while driving to work
because all the other ones are in their head
(trigonometry) solve for x
Answer:
x around 53.7
Step-by-step explanation:
We use cosine^-1 to solve for x
In the calculator put in cos^-1 (16/27)
what is law of sines
Answer:
In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle to the sines of its angles
The Law of Sines (or Sine Rule) is very useful for solving triangles:
a/sin A=b/sin B=c/sin C
hope this helps
have a good day :)
Step-by-step explanation:
what divided by 6 = 0.2
Answer:
6 divided by 30 is equal to 0.2.
Step-by-step explanation:
You make the fraction into 6/30, you reduce it to 1/5 which then you do 1 divided by 5 which also gets you to 0.2.
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Answer: 1/8
1 goes in the green blank space
8 goes in the gray blank space
========================================================
Explanation:
H = heads
T = tails
HHH means we get 3 heads in a row, HHT means heads twice then tails the third time, and so on.
Here are the 8 ways to flip three coins (note: 2^3 = 2*2*2 = 8).
HHHHHTHTHHTTTHHTHTTTHTTTWe see that HHH only comes up once out of 8 total times. Therefore, the probability of getting HHH is 1/8
------------
Another way to see the answer is note that P(H) = 1/2 is the probability of getting heads on a single coin flip
Then with two coin flips, we have P(HH) = P(H)*P(H) = (1/2)*(1/2) = 1/4. Each coin flip is independent of one another.
And finally, P(HHH) = P(H)*P(H)*P(H) = (1/2)*(1/2)*(1/2) = 1/8
Simplify.
7/8 x 1 1/3
A. 7/24
B. 28/24
C. 1 1/6
D. 1 7/24
Please help me!
Find the indicated sum for each sequence.
S9 of –9, 36, –144, 576, ...
Answer:
the answer is to multliply it by -4
Find the inverse of function f. A.f-1(x)=7x+9 B.f-1(x)=1/9x-7/9 C.f-1(x)=7/9x-1/9 D.f-1(x)=-9x-7
Answer:
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Step-by-step explanation:
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This is for math pls help I need this done
Answer:
its upside down turn it around
Step-by-step explanation:
-4i+ 3i= i- 8+ 3i- 12
Answer:
Step-by-step explanation:
-4i+3i=i-8+3i-12
-i=4i-20
20=4i+i
20=5i
20/5=i
4=i
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The graph below shows the amount of money earned based on the number of hours spent tutoring.
Select all the true statements based on the graph.
A
Point C represents the total amount earned after tutoring for 4 hours.
B
The total amount earned is $6 after tutoring for 90 hours.
C
The total amount earned is $15 per hour.
D
The point (5,75) represents that $75 was earned after tutoring for 5 hours.
Answer: C and D
Step-by-step explanation:
Answer:
A and B are both credible on the graph.