Anthony is calculating how high a ball is thrown. He has determined the function h(t) = -16t² + 20t + 4 to
represent the height of the ball in feet over t seconds. He wants his final answer to be in inches. He knows that the
function N(f) = 12f will convert f feet into inches. Compose the functions so that he has one equation to determine
the number of inches high the ball will be over t seconds.
Answer:
N(t) = -192t² +240t +48
Step-by-step explanation:
The composition of functions will be created by using the height function as the argument of the units conversion function.
__
N(f) = N(h(t)) = 12(-16t² +20t +4) . . . replace f with h(t)
N(t) = -192t² +240t +48 . . . . . simplify
Natalie makes potato cakes in a restaurant.
She mixes potato, cheese and onion so that
weight of potato:weight of cheese :weight of onion = 9: 2:1
Natalie needs to make 6000g of potato cakes.
Cheese costs £2.25 for 175 g.
Work out the cost of the cheese needed to make 6000g of potato cakes
A ratio shows us the number of times a number contains another number. The cost of cheese that is needed to make 6000g of potato cake is £12.86.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that the ratio of the ingredients is,
weight of potato: weight of cheese: weight of onion = 9: 2:1
Let the ingredients be mixed in the quantity 9x, 2x, and 1x, for 6000g of potato cake. Therefore, the value of x can be written as,
[tex]9x+2x+1x = 6000\\\\12x = 6000\\\\x = 500[/tex]
Hence, the value of x is 500.
Thus, the amount of cheese that will be needed is 2x,
[tex]2x = 2 \times (500) = 1000g[/tex]
Given that the cost of 175g of cheese is £2.25, therefore, the cost of 1g of cheese will be,
[tex]\text{Cost of 1g cheese} = \£\dfrac{ 2.25}{175}[/tex]
Now, the cost of 1000g of cheese will be,
[tex]\text{Cost of 1000g cheese} = 1000\times \£\dfrac{ 2.25}{175} = \£12.86[/tex]
Hence, the cost of cheese that is needed to make 6000g of potato cake is £12.86.
Learn more about Ratios:
https://brainly.com/question/1504221
#SPJ1
Please don't delete my question again brainly. This is all the context given. No more in the problem.
Here given that
A={People in the classroom}B={mouths in the classroom}So
Every person has one and only mouth
Means
n(A)=n(B)So
A=B-1 1/4 to the power of 2
Answer:
121/16
Step-by-step explanation:
An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.
State the hypotheses.
State the critical value(s).
State the test statistics.
State the decision
State the conclusion.
Answer:
An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.
State the hypotheses.
State the critical value(s).
State the test statistics.
State the decision
State the conclusion.
6 x (12-2) + 2 to the power of 2
Answer:
84x
Step-by-step explanation:
What decimals round to 0.12 two answers?
Answer:
0.1
Step-by-step explanation:
1 is in the tenths place and 2 is in the hundredths place
Since the digit in the hundredths place (2) is less than 5, the digit in the tenths place (1) does not change
The digit in the hundredths place is dropped
0.12 rounded to the nearest tenth (one decimal place) = 0.1
The total number of pears and oranges in a basket is between 30 and 40 . There are 25% more apple than orange how many apples are there in a basket
The number of apples there are in the basket as described in the task content is; 20 apples.
What is the number of apples there are in the basket?Inference drawn from the task content show that;
The ratio of apples to oranges in the basket is; 5:4. making the total partitions be 9.On this note, we must identify a number divisible by 9 between 30 and 40.
The number is 36 and once divided by 9 is 4 units per partition.
On this note, the total number of apples in the basket is; 4 × 5 = 20 apples.
Read more on ratios;
https://brainly.com/question/13513438
#SPJ1
Richest people. Find the net
worth of the worlds three
Richest people. Put these
monetary values in Perspective
through any techniques you wish
Answer:
Elon Musk 269.7 B
Jeff Bezos: 170.15 B
Bill Gates: 130.23 B
Step-by-step explanation:
If you had a trail of 1 billion 1 dollar bills, it would stretch out to 96,900 miles.
If you did that with 100 billion 1 dollar bills, that would be 9,690,000 miles.
That is more than 300 times the circumference of the Earth.
Think you can figure out the area of this unique shape?
Answer:
20
Step-by-step explanation:
To find the area, separate the unique shape into 3 rectangles. Then, solve for the area of those three rectangles:
2 x 4 = 8
2 x 3 = 6
6 x 1 = 6
Then, add up all of those areas to find the total area of the unique shape:
8 + 6 + 6 = 20
The area of the unique shape is 20.
Please help me .....
[tex] \frac{80}{90} - \sqrt{50} \times {19}^{2} \div {23}^{2} [/tex]
Answer:
[tex]\implies \dfrac{80}{90}-\sqrt{50} \times 19^2 \div 23^2[/tex]
Order of operations (PEDMAS)
ParenthesesExponentsMultiplication and Division (from left to right)Addition and Subtraction (from left to right)Following the order of operations,
Carry out the exponents (and radicals) first:
[tex]\implies \dfrac{80}{90}-\sqrt{25 \cdot 2} \times 361 \div 529[/tex]
[tex]\implies \dfrac{80}{90}-5\sqrt{2} \times 361 \div 529[/tex]
Now the multiplication and division (from left to right):
[tex]\implies \dfrac{8}{9}-1805\sqrt{2} \div 529[/tex]
[tex]\implies \dfrac{8}{9}-\dfrac{1805\sqrt{2}}{529}[/tex]
Convert the fractions so that their denominators are the same:
[tex]\implies \dfrac{8 \times 529}{9 \times 529}-\dfrac{1805\sqrt{2} \times 9}{529 \times9}[/tex]
[tex]\implies \dfrac{4232}{4761}-\dfrac{16245\sqrt{2}}{4761}[/tex]
Answer as a fraction:
[tex]\implies \dfrac{4232-16245\sqrt{2}}{4761}[/tex]
Answer as a number:
[tex]\implies -3.936546801... = -3.9\: \textsf{(nearest tenth)}[/tex]
(06.01)Four graphs are shown below:
Which graph represents a negative linear association between x and y?
Graph A
Graph B
Graph C
Graph D
Which prism has an volume of 6 cubic units?( on an test pls hurry!!)
Answer:
Second option
Step-by-step explanation:
convert [tex]1\frac{1}{2}[/tex] to improper fraction:
[tex]1\frac{1}{2} =\frac{2(1)+1}{2} =\frac{3}{2}[/tex]
The second opcion:
[tex]V = (2)(2)(\frac{3}{2} )=\frac{12}{2} =6[/tex]
Hope this helps
Consider the following expression
4b+2+7a
Select all of the true statements below.
Answer:
a , c and d
Step-by-step explanation:
a , c and d are correct
Find the edge length s of the cube.
Volume = 216 in.3
The edge length is
inches.
Answer:
The length for the edge should be 6.
Step-by-step explanation:
Hope this helps
I need help on my math hw
Because the sum of the internal angles must be equal to 180°, we will see that x = 43.75
How to find the value of x?
Here we need to remember that the sum of the internal angles of a triangle always gives 180°, so we can write:
(x + 10)° + (3x - 5°) + x° = 180°
Now we need to solve this linear equation for x.
4x + 5= 180
4x = 180 - 5 = 175
x = 175/4 = 43.75
The value of x is 43.75
If you want to learn more about triangles, you can read:
https://brainly.com/question/2217700
Suppose your salary in 2013 is $75,000. If the annual inflation is 6%, what salary do you need to make in 2022 in order for it to keep up with inflation? Round your answer to the nearest cent, if necessary
Answer:
79500.00
Step-by-step explanation:
75000(1 + .06) = 79500
what is 25.333333333 as a mixed number?
On friday there were x students at a baseball game. On monday there were half as many students than on friday on Wednesday, there were 32 fewer students at the game as there were on friday which expression could represent the total number of tickets sold for all 3 games
Answer:
1.5x - 32
Step-by-step explanation:
friday = x
0.5x = monday
and
x-32 = friday
in total
1.5x-32
BRAINLIEST+ STARS!!
A rectangular block of copper metal weighs 1890 g. The dimensions
of the block are 8 cm x 5 cm x 5 cm. From this data, what is the
density of copper?
A. 9.45 g/cm3
B. 1,690 g/cm3
C. 2,090 g/cm3
D. 0.106 g/cm3
E. 10.98 g/cm3
To find the density:
⇒ must find the relationship between the density, mass, and volume
⇒ [tex]Density = \frac{mass}{volume}[/tex]
Let's examine the information given:
weight: 1890gdimensions: 8cm * 5cm* 5cmLet's first find the volume:
⇒ the volume is the dimensions multiplied together
[tex]Volume = 8cm * 5cm * 5cm = 200cm^3[/tex]
LEt's calculate the density now:
[tex]Density = \frac{1890g}{200cm^3} =9.45g/cm^3[/tex]
Answer: The density of the copper is 9.45g/cm^3 or Choice (A)
Hope that helps!
6. What is the minimum vertical distance between the parabolas [tex] y=x^{2}+1 \text { and } y=x-x^{2} ? [/tex]
Answer:
0.75.
Step-by-step explanation:
1) the required vertical distance is the distance between two vertexes.
2) according to the item 1, the coordinates of the vertexes are:
(y=x²+1): x₀=0; y₀=1;
(y=x-x²): x₀=0.5; y₀=0.25;
3) according to the item 2, the distance between 1 and 0.25 is 0.75.
Write an equation of the line that passes through (-4, 1) and is parallel to the
line y - 3 = 2(x + 7).
Answer:
y=2x+9
Step-by-step explanation:
point slope form
y-y1=m(x-x1)
y-3=2(x+7)
m=2
y intercept: b=9
y=mx+b where m=2 b=9
y=2x+9
How do I solve this?
Answer:
7
Step-by-step explanation:
first you input the -1 into all the spots where the xs are so the new equation would be f(-1)=4(-1)(-1) +5(-1)+8
then when you simplify its 4-5+8
which is equal to 7
Elapsed time : 2 hr and 37 min
End time : 1: 15 p.m
Answer:
what's the question? we need to know in order to help
Your car was worth $50,000 when you bought it. It depreciates in value by 1.6% continuously. How much is your car worth in 5 years? ( round to the nearest cent (2 decimal places) )
Answer:
[tex]5 {6y6494y5y5yx \sqrt[454x54 {149 { \\ \\ }^{ \\ } }^{2} ]{?} }^{?} [/tex]
Solve x2 − 60 = 0. If necessary, round to the nearest hundredth.
±7.75
±120
3600
There is no solution as you cannot take the square root of a negative number.
Answer:
Option A, [tex]x =[/tex] ± [tex]7.75[/tex]
Step-by-step explanation:
Step 1: Add 60 to both sides
[tex]x^2 - 60 = 0[/tex]
[tex]x^2 - 60 + 60 = 0 + 60[/tex]
[tex]x^2 = 60[/tex]
Step 2: Square root both sides
[tex]\sqrt{x^2} = \sqrt{60}[/tex]
[tex]x =[/tex] ± [tex]7.75[/tex]
Answer: Option A, [tex]x =[/tex] ± [tex]7.75[/tex]
9.
Modeling Real Life Owls see an
object with both eyes at the same
time using binocular vision. What angle
measure describes the owl's binocular
vision? Explain.
binocular
vision
left
right
monocular,
monocular '
vision
vision
110°
The field of view for an owl is about 110 degrees, with about 70 degrees being binocular vision. By comparison, humans have a field of view that covers 180 degrees, with 140 degrees being binocular. A woodcock has an amazing 360 degree field of view, because its eyes are on the side of its head.
The total debts to total assets ratio of Ranford Co. was .29. The total of Ranford's assets was $200,000. What's the amount of total debt to the company?
A. $68,000
B. $75,000
C. $58,000
D. $65,000
Multiply assets by ratio
200,000 x 0.29 = $58,000
answer: c. $58,000
can i have some help? i'm kinda desperate AND please NO fake answers don't answer if you will give a fake answer
btw if you want an extra 50 points or more you could maybe help with another question i asked recently on my profile as not all of them received applicable answers
Step-by-step explanation:
Vertex form is: [tex]a(x-h)^2+k[/tex]
a) [tex]a(x+2)^2+3=y[/tex]
To find a, plug (-4,1) in for x and y.
[tex]a(-4+2)^2+3=1[/tex]
[tex]4a=-2[/tex]
[tex]a=-1/2[/tex]
so a) is [tex]\frac{-1}{2} (x+2)^2+3[/tex]
b) .... I'm not sure what the second coordinate is.
c) [tex]a(x+2)^2-3[/tex]
Plug in (-5,6) for x and y.
[tex]6=a(-5+2)^2-3[/tex]
[tex]9=9a[/tex]
[tex]a=1[/tex]
so c) is [tex](x+2)^2-3[/tex]
d) [tex]a(x+2)^2+5[/tex]
Plug (1,-4) in for x and y.
[tex]-4=a(1+2)^2+5[/tex]
[tex]-9=9a[/tex]
[tex]a=-1[/tex]
so d) is [tex]-(x+2)^2+5[/tex]
Answer:
[tex]\textsf{(a)}\quad y=-\dfrac{1}{2}(x+2)^2+3[/tex]
[tex]\textsf{(b)}\quad y=a(x+1)^2-1[/tex]
[tex]\textsf{(c)}\quad y=(x+2)^2-3[/tex]
[tex]\textsf{(d)}\quad y=-(x+2)^2+5[/tex]
Step-by-step explanation:
Vertex form
[tex]y=a(x-h)^2+k[/tex]
where (h, k) is the vertex
-------------------------------------------------------------------------------------------
Part (a)
Given: vertex at (-2, 3) passes through (-4 ,1)
Substituting the given vertex into the equation:
[tex]\implies y=a(x-(-2))^2+3[/tex]
[tex]\implies y=a(x+2)^2+3[/tex]
Substitute the given point into the equation to find a:
[tex]\implies 1=a(-4+2)^2+3[/tex]
[tex]\implies 1=4a+3[/tex]
[tex]\implies a=-\dfrac{1}{2}[/tex]
Substitute the found value of a to form the final equation:
[tex]y=-\dfrac{1}{2}(x+2)^2+3[/tex]
-------------------------------------------------------------------------------------------
Part (b)
Given: vertex at (-1, -1) passes through ?)
Substituting the given vertex into the equation:
[tex]\implies y=a(x-(-1))^2+(-1)[/tex]
[tex]\implies y=a(x+1)^2-1[/tex]
Substitute the given point into the equation to find a:
**no point given**
-------------------------------------------------------------------------------------------
Part (c)
Given: vertex at (-2, -3) passes through (-5, 6)
Substituting the given vertex into the equation:
[tex]\implies y=a(x-(-2))^2+(-3)[/tex]
[tex]\implies y=a(x+2)^2-3[/tex]
Substitute the given point into the equation to find a:
[tex]\implies 6=a(-5+2)^2-3[/tex]
[tex]\implies 6=9a-3[/tex]
[tex]\implies a=1[/tex]
Substitute the given point into the equation to find a:
[tex]y=(x+2)^2-3[/tex]
-------------------------------------------------------------------------------------------
Part (d)
Given: vertex at (-2, 5) passes through (1, -4)
Substituting the given vertex into the equation:
[tex]\implies y=a(x-(-2))^2+5[/tex]
[tex]\implies y=a(x+2)^2+5[/tex]
Substitute the given point into the equation to find a:
[tex]\implies -4=a(1+2)^2+5[/tex]
[tex]\implies -4=9a+5[/tex]
[tex]\implies a=-1[/tex]
Substitute the given point into the equation to find a:
[tex]y=-(x+2)^2+5[/tex]
A rectangular shelf has an area of 288 square inches. Its perimeter is 72 inches. What are the dimensions of the shelf?
I need help with this
Answer:
perimeter=4×length
so 72= 4l
divide through by 4
length=18
Answer:
24 inches x 12 inchesStep-by-step explanation:
Perimeter
2l + 2w = 72l + w = 36Area
lw = 288From the perimeter
Reaarrange the equation of the perimeter so that it equates to one of the variablesl = 36 - wSubstituting in the area formula
(36 - w)(w) = 28836w - w² = 288w² - 36w + 288 = 0w² - 24w - 12w + 288 = 0w(w - 24) - 12(w - 24) = 0(w - 12)(w - 24) = 0w = 24, 12The greater value of the two will be the length, and lesser value will be the width.
Dimensions are : 24 inches x 12 inches