Answer:
18 in²
Step-by-step explanation:
Given 2 similar figures with ratio of sides = a : b , then
ratio of areas = a² : b²
Here ratio of sides = 9 : 12 = 3 : 4
ratio of areas = 3² : 4² = 9 : 16
let x be the area of the smaller figure then by proportion
[tex]\frac{x}{9}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 9 )
x = 18
That is area of smaller figure = 18 in²
Tom and Sophie travel from home to school and back once a day. How many kilometres more does Sophie travel in 5days than Tom?
Answer:
1000 m
Step-by-step explanation:
Tom's distance = 400 m
Sophie's distance = 600 m
Hence. Distance per day = 600 - 400 = 200 m per days
In 5 days ;
200 m * 5 = 1000 m
Sophie travels 1000 m more
Mr. Johnson buys 5 bottles of lemonade for the school plenie, He buys four 28-
ounce bottles and one 64 ounce bottle. Using rounding to the nearest ten, about
how much lemonade does Mr. Johnson buy in all?
Answer:
He bought about 176 ounces or 22 cups, or 5.2 liters.
Step-by-step explanation:
1.) 4 * 28 = 112
2.) 112 + 64 = 176 (answer in ounces)
3.) 8 ounces in a cup
4.) 176 ÷ 8 = 22 (answer in cups)
5.) About 4.227 cups in a liter
6.) 22 ÷ 4.227 = 5.204636858
7.) Round to the nearest tenth = 5.2 (answer in liters)
A recipe that serves 4 people uses 3 potatoes. How many potatoes are needed to serve 20 people?
Answer:
14
Step-by-step explanation:
You need to count by 4´s. So:
4, 8, 12, 16, 20.
3, 6, 9, 12, 14.
I lined them up for you to understand it easier
Tad runs one-half mile for every one-third mile that
Elaine runs. If together they run a total of 10 miles, how
far does Tad run?
Answer:
Tad ran 6 miles while Elaine ran 4 miles.
Step-by-step explanation:
Since Tad runs one-half mile for every one-third mile that Elaine runs, to determine, if together they run a total of 10 miles, how far does Tad run, the following calculation must be performed:
0.5 x 2 = 1
0.333 x 2 = 0.666
10 / 1.666 = X
6 = X
6 x 1 = 6
6 x 0.666 = 4
Therefore, Tad ran 6 miles while Elaine ran 4 miles.
Let f(x) = cos(x) + 2x.
Where does f have critical points?
Answer:
f has no critical points.
Step-by-step explanation:
We are given:
[tex]f(x)=\cos(x)+2x[/tex]
A function has critical points whenever its derivative equals 0 or is undefined.
Differentiate the function:
[tex]f'(x)=-\sin(x)+2[/tex]
Since this will never be undefined, solve for its zeros:
[tex]0=-\sin(x)+2[/tex]
Hence:
[tex]\displaystyle \sin(x)=2[/tex]
Recall that the value of sine is always between -1 and 1.
Thus, no real solutions exist.
Therefore, f has no critical points.
helpppp pleaseeeeeee
Answer:
312ft
Step-by-step explanation:
Given the function h(x)=-x^2 + X+4 determine the average rate of change of function over interval -1< x < 5
Answer:
- 3
Step-by-step explanation:
The average rate of change of h(x) in the closed interval [ a, b ] is
[tex]\frac{h(b)-h(a)}{b-a}[/tex]
Here [ a, b ] = [ - 1, 5 ] , then
h(b) = h(5) = - 5² + 5 + 4 = - 25 + 9 = - 16
h(a) = h(- 1) = - (- 1)² + (- 1) + 4 = - 1 - 1 + 4 = 2
average rate of change = [tex]\frac{-16-2}{5-(-1)}[/tex] = [tex]\frac{-18}{6}[/tex] = - 3
i’m think it’s A or C. help :(
Answer:
girly
Step-by-step explanation:
I'd tell u to go with c I could be wrong tho but that's my guess and tell me if I got it right okay?
Step-by-step explanation:
the answer is n²
n plus n is 2n
and we have 2n as option b.. pls the answer is 2n
what fraction is bigger? 11/20 or 2/5
Answer:
Let's make both of them have a common denominator since we can't just identify by the looks of it.
2 x 4 = 8
___
5 x 4 = 20
11/20 > 8/20
11/20 is bigger.
=-= 50 Points =-= Must give the correct answer
Solve by equating exponents and using the Equality of Bases Property.
Solve (2)^x/2 = 16 for x
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
Answer:
x=5
Step-by-step explanation:
(2)^x/2 = 16
Multiply both sides by 2
(2)^x/2 *2 = 16*2
2^x = 32
Rewrite 32 as a power of 2
2^x = 2^5
x=5
If f(y) = e^(9y) + e^(-9y), find f'(y). Use exact values.
Given:
[tex]f(y)=e^{9y}+e^{-9y}[/tex]
To find:
The f'(y).
Solution:
Chain rule of differentiation:
[tex][f(g(x))]'=f'(g(x))g'(x)[/tex]
Differentiation of exponential:
[tex]\dfrac{d}{dx}e^x=e^x[/tex]
We have,
[tex]f(y)=e^{9y}+e^{-9y}[/tex]
Differentiate with respect to y.
[tex]f'(y)=e^{9y}\dfrac{d}{dx}(9y)+e^{-9y}\dfrac{d}{dx}(-9y)[/tex]
[tex]f'(y)=e^{9y}\cdot 9(1)+e^{-9y}\cdot (-9)(1)[/tex]
[tex]f'(y)=9e^{9y}-9e^{-9y}[/tex]
Therefore, the differentiation of the given function is [tex]f'(y)=9e^{9y}-9e^{-9y}[/tex].
Move a number to each box to create an equation to solve 8/100 + 9/10
Answer: the answer is 0.98.
Step-by-step explanation:
the equation 8/100 + 9/10 = 0.98.
MARK ME BRAINSET
OKAY, 66% WE NEED AN 80! PLEASE HELP!
Answer:
Hi again:
77 square millimetres
Step-by-step explanation:
Have a good day :)
Answer:
56 mm²
Step-by-step explanation:
12 - 4 = 8
8 · 7 = 56
56 ÷ 2 = 28
28 mm²
28 mm² + 28 mm²
56 mm²
find the gradient of line ab
please help! i will give brainliest if you answer all and correctly
Answer: a is 21 b is 45 and c is yes more people are going above because the median is above the speed limit
Step-by-step explanation:
Frozen apple juice comes in a cylindrical can. A can is 12 cm high and has a radius of 3.5 cm. What is the capacity of the can? b. Apple juice expands when it freezes the can is filled to 95 % of its volume. What is the volume of the apple juice in the can.
Answer:
438.501cm^3
Step-by-step explanation:
Given data
Height of can= 12cm
Radius= 3.5cm
The capacity of the can is expressed as
V= πr^2h
V= 3.14*3.5^2* 12
V= 3.14*12.25*12
V= 461.58cm^3
Hence the capacity is 461.58cm^3
We are also given that the juice amount to 95% of the capacity of the can
95/100*461.58= x
0.95*461.58=x
x=438.501cm^3
This means that the volume of the juice is 438.501cm^3
The area of a rectangle is n^2+6n-27. One side of the rectangle is n + 9. What is the length of the
remaining side?
[tex]n^2 +6n-27 = n^2+6n-27+0\\~\\n^2+6n-27+0 = n^2+6n-27+(3n-3n) \\~\\n^2+6n-27+(3n-3n) = n^2+9n-3n-27\\~\\n^2+9n-3n-27 = n\cdot(n+9)-3\cdot(n+9) \\~\\n\cdot(n+9)-3\cdot(n+9) = (n+9)(n-3)[/tex]
The other side is n-3
The truck shop needed 20 liters of milk.They ordered personal size weighing 500ml.How much boxes of milk did they order
1/2 of 5 for my Khan Academy answer
Answer:
...
Step-by-step explanation:
Divide x^4 + 4x^3 – 2x^2 – 7 by x^2 + 1. What is the remainder?
Un submarino se encuentra 50m por debajo del nivel del mar y comienza a subir 2m cada 5 minutos ¿a que profundidad se encuentra a la hora de haber comenzado el ascenso?¿cuanto tiempo le faltara para llegar a la superficie?
Answer:
a) El submarino se encuentra a una profundidad de 26 metros una hora después de haber comenzado el ascenso.
b) Al submarino le falta 1 hora y 5 minutos para llegar a la superficie.
Step-by-step explanation:
a) De acuerdo con el enunciado, la cantidad de metros ascendidos por el submarino es directamente proporcional al tiempo, entonces la profundidad del submarino a la hora de haber comenzado el ascenso se obtiene mediante la siguiente relación lineal:
[tex]h = 50\,m - \frac{2\,m}{5\,min}\times 60\,min[/tex]
[tex]h = 26\,m[/tex]
El submarino se encuentra a una profundidad de 26 metros una hora después de haber comenzado el ascenso.
b) En primer lugar, calculamos el tiempo total del viaje mediante la siguiente relación:
[tex]\frac{2\,m}{5\,min} = \frac{50\,m}{t}[/tex]
[tex]t = 50\,m\times \frac{5\,min}{2\,m}[/tex]
[tex]t = 125\,min[/tex] ([tex]2\,h\,5\,min[/tex])
El tiempo faltante para alcanzar la superficie se calcula mediante la siguiente sustracción:
[tex]\Delta t = 125\,min - 60\,min[/tex]
[tex]\Delta t = 65\,min[/tex] ([tex]1\,h\,5\,min[/tex])
Al submarino le falta 1 hora y 5 minutos para llegar a la superficie.
simplify: x'2-9/x'2-3x
Answer:
this is the answer Hope's it helps
A delivery driver estimates his truck uses an average
of 22.5 gal of fuel per day. This estimate is within 4%
of the actual fuel the driver records each day for one
month
Answer:
18.5 - - - - NO
24.3 ____ NO
21.6 __ YES
26.5 ___No
23.3 ___ YES
Step-by-step explanation:
Estimate = 22.5 gallons
Error margin = 4%
Hence ;
4% of 22.5 = 0.9
Actual usage :
(22.5 - 0.9) = 21.6
(22.5 + 0.9) = 23.4
Actual usage is within (21.6 ; 23.4)
Hence,
18.5 - - - - NO
24.3 ____ NO
21.6 __ YES
26.5 ___No
23.3 ___ YES
Which value of x makes this equation true? -12x - 2(x+9) = 5(x+4)
x = -2
−12x−2(x+9)=5(x+4)
Use the distributive property to multiply −2 by x+9.
−12x−2x−18=5(x+4)
Combine −12x and −2x to get −14x.
−14x−18=5(x+4)
Use the distributive property to multiply 5 by x+4.
−14x−18=5x+20
Subtract 5x from both sides.
−14x−18−5x=20
Combine −14x and −5x to get −19x.
−19x−18=20
Add 18 to both sides.
−19x=20+18
Add 20 and 18 to get 38.
−19x=38
Divide both sides by −19.
x=
−19
38
Divide 38 by −19 to get −2.
x=−2
The required simplified value of x for the given equation is -2/19.
To determine the value of x that makes equation -12x - 2(x + 9) = 5(x + 4) true.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
-12x - 2(x + 9) = 5(x + 4)
-12x -2x - 18 = 5x + 20
-14x - 18 = 5x + 20
-14x - 5x = 20 - 18
-19x = 2
x = -2/19
Thus, the required simplified value of x for the given equations is -2/19.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
find the value of x
PLS HELP
Answer:
75o
Step-by-step explanation:
2x+5 = 155 (parallel lines)
x=(155-5)/2=75 deg
HELP HELP HELP FIRST RIGHT ANSWER GETS BRAINLIEST
help me pls no links or files if u answer correctly u get brainless hurry
Answer:
72 ft^2
Step-by-step explanation:
A = bh
A = 12 ft * 6 ft
A = 72 ft^2
Answer:
72
Step-by-step explanation:
you have to do base times height
need math help please!
Answer:
14.1
Step-by-step explanation:
[tex]\frac{\pi *angle*radius}{180}[/tex] here is a formula for finding the answer for the future
We know that the angle is 54 degrees and the radius is 15 units
So now that we have the formula we can plug in the numbers which would like this:
[tex]\frac{\pi*54*15}{180}[/tex]Calculate: 14.1371669412
Round to the nearest tenth = 14.1
Hope this helps :)
Which of the following exponential functions represents the graph below
Answer:
option B
Step-by-step explanation:
A Baker has 88 muffins. He fills large boxes that hold 9 muffins each. Then,he puts the leftover muffins in a small box. How many muffins are in the small box?
Answer: 7
Step-by-step explanation:
9 x 9 =81
88-81=7
There will be 7 muffins in the small box.