Your Turn: Using the figure, a
c
= d
a
.
What steps need to be taken to change this to a² = cd?
Example: Multiply by 2; divide by a, etc
A company that sells prefabricated homes ships the frames for each home in large shipping containers. Each shipping container is in the shape of a rectangular prism and its volume can be represented by the polynomial expression 5x3 + 7.5x2, where x is the width of the shipping container.
If the length of the shipping container is five times the width, write the expression that represents the height of the shipping container in terms of its width, x.
Answer:
h = x + 1.5
Step-by-step explanation:
Start with the width. The width = x
The length is 5 times the width = 5*x or 5x
The volume of this is
Two things V = 5x^3 + 7.5x^2V = l * w * h Substitute the length and width into the raw formula5x^3 + 7.5x^2 = 5x * x * h
5x^3 + 7.5x^2 = 5x^2 * h Divide both sides by 5x^2
5x^3 / 5x^2 + 7.5x^2 / 5x^2 = 5x^2*h/ 5x^2
x + 1.5 = h <<<< Answer
It takes 4 pounds of grapes to make 1 pound of raisins. How many pounds of grapes would you need to make 3000 pounds of raisins?
Final answer:
To make 3000 pounds of raisins, you would need 12000 pounds of grapes, as it takes 4 pounds of grapes to make 1 pound of raisins.
Explanation:
The question asks us to find out how many pounds of grapes are needed to make 3000 pounds of raisins.
Given that it takes 4 pounds of grapes to make 1 pound of raisins, we can set up a proportion to solve for the total weight of grapes needed. The proportion will be:
4 pounds of grapes / 1 pound of raisins = x pounds of grapes / 3000 pounds of raisins
Multiplying both sides of the proportion by 3000 pounds of raisins gives us:
4 pounds of grapes x 3000 pounds of raisins = x pounds of grapes x 1 pound of raisins
So,
x = 4 x 3000
x = 12000 pounds of grapes.
Therefore, you would need 12000 pounds of grapes to make 3000 pounds of raisins.
Write $875.48 in word form
What is the product of 7√20 and 10√6 ?
13. The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 27 inches, how long is each spoke? Round your answer to the nearest hundredth.
Find the volume of the prism. 192 cu. ft. 64√(13) cu. ft. 96 cu. ft.
Given is a Right Triangular Prism whose height is 8 feet, and whose base is a right triangle with legs 4 feet and 6 feet.
To find the volume of the prism, we must find the area of its base. Its base is in shape of right triangle. We know the formula for area of Right triangle is given as follows :-
[tex] Area = \frac{1}{2} bh \\\\
Area = \frac{1}{2} *4*6 \\\\
Area = \frac{24}{2} \\\\
Area = 12 \;\;feet^{2} [/tex]
So Prism's base area, B = 12 squared feet.
and Prism's height, H = 8 feet.
We know the formula for volume of Prism is given as follows :-
Volume of Prism = (Base Area) x (Height of Prism)
Volume = B x H
Volume = 12 feet² x 8 feet
Volume = 96 feet³
Hence, option C is correct i.e. 96 cubic feet.
HELP PLEASE WILL GIVE BRAINLIEST ANSWER 5 QUESTIONS 48 POINTS!
1). 8/15
2). 1/3
3). B. equally likely
4). A
5). D
A.)ii. and iii.
B.)ii.
C.)i.
D.)i. and iv.
Nora says that the shapes shown below are translations of each other. Judy says that the transformation is a glide-reflection. In two or more complete sentences, explain who is correct.
Consider cases where the number of withholding allowances is less than 6. Which will cause the amount of federal income tax withheld to increase?
a.
Gross pay stays the same and withholding allowances increase.
b.
Gross pay increases by more than $20 and withholding allowances stay the same.
c.
Gross pay increases by more than $20 and withholding allowances increase.
d.
Gross pay decreases by more than $20 and withholding allowances stay the same.
Consider cases where the number of withholding allowances is less than 6.
The amount of federal income tax withheld will increase if the
1. Gross pay increases and withholding allowances remains the same or
2. Gross pay remains the same and withholding allowances decreases
Option B is correct. The amount of federal income tax withheld will increase when Gross pay increases by more than $20 and withholding allowances stay the same
Hope this helps..!!
Thank you :)
Federal income tax, when withholding allowances is less than 6, the Gross pay increases by more than $20 and withholding allowances stay the same.
What is federal income tax?Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen resides their.
The value of federal income tax changes with change in withholding allowances and gross pay as-
The federal income tax is increases when the gross pay increases but the value of withholding amount is remain same.The federal income tax is increases when the gross pay remain same but the value of withholding amount is decreases.The federal income tax is decreases when the gross pay decreases but the value of withholding amount is remain same.The federal income tax is decreases when the gross pay remain same but the value of withholding amount is increases.Given information-
The number of withholding allowances is less than 6.
As the number of withholding allowances is less than 6. Thus the withholding allowances is fixed here.
Now the value of federal income tax increases gross pay increases as discussed in first property above.
Hence, Gross pay increases by more than $20 and withholding allowances stay the same. Thus the option B is the correct option.
Learn more about the federal income tax here;
https://brainly.com/question/25504589
Victor ran 3 kilometres. Terrell ran 4,000 meters.Which statement is true? A. Victor ran 1,000 meters more B. Terrell ran 3,000 meters more than Victor. C. Victor ran 3,000 meters more than Terrell Or D. Terrell ran 1,000 meters more than Victor?
Answer:
I did the quiz
Step-by-step explanation:
The correct statement is,
⇒ Terrell ran 3,000 meters more than Victor.
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
We have to given that;
Victor ran 3 kilometers.
And, Terrell ran 4,000 meters.
Now,
We know that;
1 kilometer = 1000 meters
Hence, We get;
Victor ran = 3 kilometers
= 3 x 1000
= 3000 meters
Thus, Difference of distance are,
= 4000 - 3000
= 1000 meters
Therefore, The correct statement is,
⇒ Terrell ran 3,000 meters more than Victor.
Learn more about the measurement unit visit:
https://brainly.com/question/777464
#SPJ3
A car costs 25,750 and depreciates in value by 20% per year. How much will the car be worth after five. And please explain
The problem describes a case of exponential decay. The car's value decreases by 20% each year, so after 5 years of depreciation, the value of the car can be calculated by repeatedly applying this 20% reduction each year. The car will be worth approximately $8,437.76 after 5 years of depreciation.
Explanation:The problem is a very typical example of exponential decay. The car depreciates in value by 20% each year. This means that after each year, the car is worth 80% (or 0.8) of its value from the previous year. After five years, we can calculate how much the car is worth by simply applying these percentages to the car's initial cost.
To calculate the value of the car after 5 years, you multiply the initial cost of the car by 0.8 (representing the 80% remaining value after depreciation) five times:
After the first year: $25,750 * 0.8 = $20,600After the second year: $20,600 * 0.8 = $16,480After the third year: $16,480 * 0.8 = $13,184After the fourth year: $13,184 * 0.8 = $10,547.20After the fifth year: $10,547.20 * 0.8 = $8,437.76So after 5 years, the car will be worth approximately $8,437.76.
Learn more about Exponential Decay here:https://brainly.com/question/2193799
#SPJ11
What is the minimum value of the parabola y= x^2+5x
The minimum value of the parabola y = x^2 + 5x is -25/4.
Explanation:The minimum value of the parabola y = x^2 + 5x can be found by completing the square.
Rewrite the equation as y = (x^2 + 5x + 25/4) - 25/4, which is equivalent to y = (x + 5/2)^2 - 25/4.
Since the square of a real number is always non-negative, the minimum value of the parabola is -25/4.
PLEASE HELP ME!!! I would really appreciate it!
The rain caused the river to rise a total of 6 and 2/3 inches. The river was rising at an average of 2/3 of an inch each hour. How many hours did it rain? (must be a whole number)
(there is a ratio) (2/3 divided by 1) and (6 and 2/3 divided by what?)
Brian ran 414 miles in 34 of an hour. How fast was Brian running? 3316 mph 312 mph 5 mph 523 mph
Answer:
he means 5 2/3
Step-by-step explanation:
Answer: Fourth option is correct.
Step-by-step explanation:
Since we have given that
Distance traveled by Brian = [tex]4\frac{1}{4}\ miles=\frac{17}{4}\ miles[/tex]
Time taken by him = [tex]\frac{3}{4}[/tex] of an hour
So, Speed at which Brian is running fast is given by
[tex]Speed=\dfrac{Distance}{Time}\\\\\\Speed=\dfrac{\dfrac{17}{4}}{\dfrac{3}{4}}\\\\\\Speed=\dfrac{17}{3}\\\\\\Speed=5\dfrac{2}{3}\ mph[/tex]
Hence, Brian was running fast at [tex]5\dfrac{2}{3}\ mph[/tex]
Therefore, Fourth option is correct.
Lucinda wants to build a square sandbox but has no way of measuring angles. Explain how she can make sure that the samdbox is meansuring only length..
A) Arrange four equal-length sides so the diagonals bisect each other.
B) Arrange four-length sides so the diagonalsare equal in length
C) Make each diagonal the same length as four-length sides
D) This is not possible, Luninda has to be able to measure a right angle.
Select the problems which show the correct answers. (1.12 x 105) (6.06 x 105) Answer: 6.79 x 1010 (2 x 101)(3.0 x 101) Answer: 6.0 x 101 (2.775 x 10−4) (4.775 x 104) Answer: 1.325 x 100 5 8.14 x 102 Answer: 6.14 x 10−3
Answer:
[tex](1.12 x 10^5) (6.06 x 10^5) = 6.787 x 10^{10}\\[/tex]
[tex]\frac{0.5 x 10 ^ 1}{8.14 x 10 ^ 2} = 6.14 * 10 ^ {-3}\\[/tex]
Step-by-step explanation:
To solve this problem we must solve all 4 operations.
For the first one we have:
[tex](1.12 x 10^5) (6.06 x 10^5)[/tex]
When we have multiplication of powers of equal base (10) the same base is placed and the exponents are added
So:
[tex]1.12 * 6.06 x 10^{5+5} = 6.787 x 10^{10}\\[/tex]
Therefore the answer to this question is correct.
For the second question we have:
[tex](2 x 10^1) (3.0 x 10^1)[/tex]
Then following the same procedure as in the previous question we have:
[tex]2 * 3.0 x 10 ^ {1 + 1} = 6 x 10 ^ 2\\[/tex]
Then the answer shown in the statement is not correct, because 10 must be squared, product of the sum of its exponents (1 + 1)
For the third question we have:
[tex](2,775 x 10^{-4}) (4,775 x 10^4)\\2.775 * 4.775 x 10 ^{(- 4) +4} = 13.251 x10 ^ 0\\[/tex]
Then it is verified that the answer for this operation is no correct
[tex]13.25\neq 1.325[/tex]
Finally, for the fourth question we have:
[tex]\frac{5}{(8.14 x 10 ^ 2)}\\[/tex]
This we can write it as:
[tex]\frac{0.5 x 10 ^ 1}{8.14 x 10 ^ 2}\\[/tex]
In division of powers of equal base (10 in this case) the same base is placed and the exponents are subtracted:
[tex]\frac{0.5}{8.14 x 10 ^ {1-2}} = 0.0614 x 10 ^ {-1} = 6.14 * 10 ^ {-3}\\[/tex]
Finally, the problems that show correct answers are:
[tex](1.12 x 10^5) (6.06 x 10^5) = 6.787 x 10^{10}\\[/tex]
[tex]\frac{0.5 x 10 ^ 1}{8.14 x 10 ^ 2} = 6.14 * 10 ^ {-3}\\[/tex]
What is the product of 2x-1 and 2x+6? Write your answer in standard form.
Show your work.
Is the product of 2x-1 and 2x+6 equal to the product of 1x-2 and 6+2x? Explain your answer.
Please help. 15 points. Thank you.
Give 4 equations that uses at least 2 different operations. (PEMDAS) The answer has to be
- 23
- 25
- 27
and
- 28
REMEMBER: 4 equations, one for each answer
Please help
The graph of y = 1/2x^2 will be more narrow than the graph of the parent function, y = x²
true or false
Which comparison is correct for the values of f(x) and g(x) when x=−1 ?
Function A: f(x)= −x^2+1
Function B:
f(−1)>g(−1)
f(−1)=g(−1)
f(−1)
Answer:
[tex]f(-1)>g(-1)[/tex]
Step-by-step explanation:
we are given
[tex]f(x)=-x^2+1[/tex]
We can plug x=-1 and find f(x)
we get
[tex]f(-1)=-(-1)^2+1[/tex]
[tex]f(-1)=-1+1[/tex]
[tex]f(-1)=0[/tex]
now, we can find g(-1)
we can look at the table and find g(-1)
so, we get
[tex]g(-1)=-4[/tex]
we know that
-4 is less than 0
so,
[tex]g(-1)<f(-1)[/tex]
or we get
[tex]f(-1)>g(-1)[/tex]
John invested $575 in stocks. If he lost d dollars when he sold the stocks, which expression represents the amount of money he received for his stocks?
Answer: 575-d
Step-by-step explanation:
marshall bought 32 ounces of mixed nuts, which are estimated to be 30%. which expression can be used to find the percentage of peanut concentration of the final mix if he adds x ounces of peanuts?
Answer: Its B for short
First we get 30% ounces of peanuts in mixed nuts:
(0.3) * (32) = 9.6
To find the percentage of peanut concentration of the final mix if you add x ounces of peanuts:
% of peanuts = ((x + 9.6) / (x + 32)) * (100)
Answer:
An expression can be used is:
% of peanuts = ((x + 9.6) / (x + 32)) * (100)
Step-by-step explanation:
yea
16 = X + 32
............................
Given the dilation rule DO,1/3 (x, y) →
and the image S'T'U'V', what are the coordinates of vertex V of the pre-image?
HELLLLLLLLLLLLLLLLPPPPPPP PLEASE! Is the number 4.78 a solution of x < 5? Is the number 6 a solution of x < 6? PLEASE EXPLAIN.
Hays builds model sailboats as a hobby. The dimensions of the sailboats are given. What is the height, x, of the smaller sailboat's sail? Enter your answer, as a decimal, in the box. x = in. Two sailboats with sails that are right triangles. The top angle on the sails are marked congruent to each other. The smaller sail has a height of x and a base of 7 inches. The larger sail has a height of 12 inches and a base of 8 inches.
The smaller sail has a height of 10.5 inches.
Given to usTwo sailboats with sails that are right triangles.The top angle on the sails is marked congruent to each other.The smaller sail has a height of x and a base of 7 inches.The larger sail has a height of 12 inches and a base of 8 inches.Similarity of trianglesWe know that for the two sails of the sailboat,
the right angle will be equal,
the angles at the top of the sail are congruent, {given}
therefore, the third angle will be equal for both the triangles.
thus, both the triangles will be similar to each other.
For similar triangles,The sides will be in ratio.
[tex]\dfrac{12}{8}=\dfrac{x}{7}[/tex]
[tex]\dfrac{12\times 7}{8}=x\\x = 10.5[/tex]
Hence, the smaller sail has a height of 10.5 inches.
Learn more about Similar triangles:
https://brainly.com/question/25882965