Answer:
(a) Output = 37
(b) Input = 9
Step-by-step explanation:
Given
[tex]y =x5 - 3[/tex]
Solving (a): Output, when input = 8
This means that, we solve for y when x = 8
So, we have:
[tex]y =x5 - 3[/tex]
[tex]y =8*5 - 3[/tex]
[tex]y =40 - 3[/tex]
[tex]y = 37[/tex]
Solving (b): Input, when output = 42
This means that, we solve for x when y = 42
So, we have:
[tex]y =x5 - 3[/tex]
[tex]42 = x5 - 3[/tex]
Collect like terms
[tex]x5 = 42 + 3[/tex]
[tex]x5 = 45[/tex]
Divide both sides by 5
[tex]x = 9[/tex]
which ratio is incorrectly written in Olivia's conversion?
Answer:
Choice 3
Step-by-step explanation:
The third fraction (third refers to the answer number) is incorrect. As written, the cups won't cancel. The correct way to do this is to invert the fraction.
4 tablespoons
===========
1/4 cup
This is an extremely important procedure to know. Make sure you understand what the basis of it is. Often times in higher physics, you don't have a proper relationships and this method (called dimensional analysis) is the only tool you have to work with.
So each term has at least 1 cancelation that occurs with the prior term. And it is the units that you look to cancel, and that determines which way to put the intermediate steps.
Jason poured 1 gallon 1 quart of water into an empty 2-gallon bucket. How much more water can be added to reach the bucket's 2-gallon capacity?
Answer: 3 quart
Step-by-step explanation:
Given
Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket
1 gallon can be written as 4 quart
So, 2 gallon can be written as 8 quart
Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added
[tex]\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}[/tex]
So, 3 quart of water must be added to reach 2 gallon capacity.
Please help with this question
help please i forgot how to do it, its easy tho
Answer:
answer is 20................................
Can someone help me with this? 13 points!
depth at point B = 5 m
Step-by-step explanation:
y = -(2/5)x - 1
Point C is located 10 m from the origin O which means that x = 10. Using this value in our equation,
y = -(2/5)(10) - 1
= -4 - 1
= -5
Solve for 2. Round to the nearest tenth, if necessary.
Answer: the answer is 51.41281
Step-by-step explanation:
Sin=opp/hyp. sin(40)=x/69. x=69sin(40). x=51.41281
please help i need help
no links or ill report you
Choose the set of three sides that correctly matches each description. Each option will be used only once.
Answers:
30-60-90 triangle = 4, 8, 4*sqrt(3)45-45-90 triangle = 6, 6, 6*sqrt(2)Right triangle, but not special right triangle = 6, 8, 10Triangle but not a right triangle = 7, 8, 10Not a triangle = 7, 12, 19======================================================
Explanation:
The template for a 30-60-90 triangle is that the short leg x leads to hypotenuse 2x, and longer leg x*sqrt(3). If x = 4, then we get the sides 4, 8, 4*sqrt(3) which are the short leg, hypotenuse, and long leg in that order.
----------------
The template for a 45-45-90 triangle is that we have x as the leg length and x*sqrt(2) as the hypotenuse. If x = 6, then we end up with the sides 6, 6, 6*sqrt(2)
-----------------
The triangle with sides 6, 8, 10 is a right triangle because a = 6, b = 8, c = 10 makes a^2+b^2 = c^2 true. I'm using the converse of the pythagorean theorem. We don't have a special right triangle because these sides do not fit the templates mentioned in the previous two sections above.
-------------------
The triangle with sides a = 7, b = 8, c = 10 on the other hand will not make a^2+b^2 = c^2 true. Note that a^2+b^2 = 7^2+8^2 = 113 which is not the same as 10^2 = 100. However, a triangle is possible because adding any two sides leads to a sum larger than the third side (triangle inequality theorem).
-------------------
We cannot form a triangle with sides 7, 12, 19 because the sides 7 and 12 add to 7+12 = 19 but that's not longer than the third side 19.
The triangle inequality theorem says that if you want to form a triangle with sides a,b,c then the following three inequalities must all be true
a+b > c
a+c > b
b+c > a
A birthday present (rectangular prism) you are wrapping has a 10 inch length, 8 inch
width, and a 4 inch height. How many square inches of wrapping paper will you need to
wrap it?
can you help me
Answer:
320 square inches
Step-by-step explanation:
10*8=80
80*4=320
final answer: 320 square inches
Find the range of the function f(x)=x2+5 given the domain (-2,-1,0,1,2)?
Answer:
(5, 6, 9)
Step-by-step explanation:
The domain is basically the set of all x values while the range is the set of all y values, in this case, it's the values of f(x). To find the range, we can plug the x values into the equation:
f(-2) = 9
f(-1) = 6
f(0) = 5
f(1) = 6
f(2) = 9
Since we can't have repeats in the range, it would be: (5, 6, 9)
49 × 66 + 49 × 34 = 49 × ( ____+ _____)
Answer:
49×66+49×34 = 49× (66+34)
Answer:
49×66+49×34 = 49× (66+34)
Step-by-step explanation:
Please help me answer
Answer:
Step-by-step explanation:
the circumference you make it using the diameter , pi times ( 3.142 times)
C = 13* 3.142 = 40.846
It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
Answer:
7
Step-by-step explanation: 5.5 divided by 0.75 is 7.3333333333
Henry says he can write an 8 in each box to make both equations true. Is he correct?
Answer:
yes it's true because 3 groups of 8 is 24
Badwater Basin, California, has the lowest elevation in North America. It is 279 feet below sea level. New Orleans, Louisiana, is 7 feet below sea level.
Answer:
272 feets
Step-by-step explanation:
Badwater Basin = 279 feets below sea level = - 279 feets (relative to sea level)
New Orleans = 7 feets below sea level = - 7 feets (relative to sea level)
Hence,
New Orleans is higher Than Badwater Basin by :
279 feets - 7 feets
= 272 feets
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
Answer: 1436 units cubed (3.14) or 1437 units cubed (π)
Step-by-step explanation:
answer depends on if you substitute in 3.14 for π or not
find the total surface area of a triangular prism 17cm 8cm 7cm 15cm
Answer:
hey I don't know which one is the hight
NEED HELLPPP ASAP
(Thank you)
Answer:
ask your teacher it would be good for you and also teachers give u good thing about that okay but i can't help you sorry.
Step-by-step explanation:
An apartment cost $870 per month to rent. The owner raises the price by 20% and then gives a discount of 8% to returners who sign an 18 month lease. How much less the renters who signed the 18 month lease pay per month to rent the apartment
Answer:
$34.8
Step-by-step explanation:
Given data
Cost of apartment= $870 per month
increase= 20%
Discount= 8%
Let us find the amount of increase
=20/100*870
=0.2*870
=$174
New cost = 870+174
=$1044
New cost of apartment for 18 month
=1044*18
=$18792
He gave them 8% discount
=8/100*18792
=0.8*18792
=$15033.6
Hence the monthly fee will be
=15033.6/18
=$835.2
Therefore the difference in price is
=870-835.2
=$34.8
A jar with screws weighs 2.9 kg. A similar jar with nails weighs 700 g. The screws weigh five times as much as the nails. How much does the jar weigh?
Write the equation of the line through (8,-2); m = 0
ANSWER ASAP PLEASE!!
Answer:
y = -2
Step-by-step explanation:
The formula for point-slope is as follows:
y - y1 = m(x - x1)
We are given the slope, m, or 0, and we are given the point (8, -2), which we can substitute into the point (x1, y1):
y + 2 = 0(x - 8)
y + 2 = 0
y = -2
Klarissa is baking a cake. The recipe calls for \large 1\frac{3}{4} cups of flour, and Klarissa wants to triple the recipe. How much flour does she need?
Answer: [tex]5\dfrac{1}{4}\ \text{cups of flour}[/tex]
Step-by-step explanation:
Given
Klarissa requires [tex]1\ \frac{3}{4}[/tex] cups of flour to make a recipe
Convert mixed numeral to fraction
[tex]\Rightarrow 1\dfrac{3}{4}=\dfrac{4+3}{4}\\\\\Rightarrow \dfrac{7}{4}[/tex]
If she wants to triple the recipe then,
[tex]\Rightarrow 3\times \dfrac{7}{4}=\dfrac{21}{4}\\\\\Rightarrow \text{or}\ 5\dfrac{1}{4}\ \text{cups of flour}[/tex]
Use similarity to solve for the length of side XY. Round to the nearest tenth.
Answer:
5.1
Step-by-step explanation:
Angle A terminates in the fourth quadrant with cosA= 4/5. The exact value of A is?
Answer:
324.13°
Step-by-step explanation:
Applying,
cosA = 4/5
To find the value of A, we find the inverse of the cosine of both side,
(cosA)cos⁻¹ = cos⁻¹(4/5)
A = cos⁻¹(0.8)
A = 36.87° (First quadrant)
The above value of A is its value in the first quadrant
To find the value of A in the fourth quadrant, we use the expression
∅₄ = 360-∅₁............... Equation 1
Where ∅₄= value of A in the fourth quadrant, ∅₁ = value of A in the first quadrant.
Therefore,
∅₄ = 360-36.87
∅₄ = 324.13°
Hence the value of A in the fourth quadrant is 324.13°
Find the value of x, please help me :)
Answer:
x=32
Step-by-step explanation:
To make the lines parallel, the sum of the angles must be equal to 180. 2x+3x+20=180, 5x=160, x=32
Find the composite area
Answer:
Area of the composite figure = 42 in²
Step-by-step explanation:
Composite area of the given figure = Area of the rectangle + Area of the right triangle
Area of the rectangle = Length × Width
= 6 × 5
= 30 in²
Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(4)(6)[/tex]
= 12 in²
Area of the composite figure = 30 + 12
= 42 in²
What is the area of the triangle?
2
2
Answer:
A=h(b)b/2
Step-by-step explanation:
Four coins are tossed in succession. What is the probability of getting all heads?
1/4
1/2
1/16
Answer:
1/16
Step-by-step explanation:
There is a 1/2 chance to flip a heads.
So, in this case, we would multiply 1/2 four times in reference to the coins being flipped a total of 4 times to find its probability.
1/2 x 1/2 x 1/2 x 1/2 = 1/16
Thus, there is a 1/16 chance that you'd get heads four times in a row.
Please help me thanks :))
Answer:
What do you need help with?
Jerry 1/5 of his allowance on a book and 3/8 of the remainder of his allowance for $12.00. Calculate: A.Jerry's allowance B.The cost of the book C.The cost of the pen
Answer:
Allowance = $24
Cost of book = $4.8
Cost of pen = $7.2
Step-by-step explanation:
[tex]Let \ his \ allowance\ be\ x\\\\\frac{1}{5} \ of \ x \ on\ books\\\\\frac{3}{8} \ of \frac{4}{5} \ of \ x\ on \ pen\\\\Balance \ in \ hand = 12[/tex]
[tex]x = \frac{1}{5}x + (\frac{3}{8} \times \frac{4}{5})x +12\\\\x = \frac{1}{5}x + \frac{12}{40} +12\\\\x =\frac{1}{5}x + \frac{3}{10} +12\\\\x - \frac{1}{5}x - \frac{3}{10} =12\\\\\frac{10x - 2x -3x}{10} = 12\\\\\frac{5}{10}x = 12\\\\5x = 12 \times 10\\5x = 120\\x = 24[/tex]
[tex]cost \ of \ book = \frac{1}{5} \times x = \frac{1}{5} \times 24 = 4.8\\\\cost \ of \ pen = \frac{3}{8} \times \frac{4}{5} \times x = \frac{3}{8} \times \frac{4}{5} \times 24 = 7.2[/tex]