Answer:
Yes there are same because
Let r=1
then
12r-5 = ( 12*1)-5 = 12 -5 = 7
but
-5 + 12r = -5 + (12*1) = -5 + 12 =7
Evaluate (-4)^(-2)..........................................................................................................
Answer:
[tex](-4)^{2} = \frac{1}{16}[/tex]
Step-by-step explanation:
Explanation:-
Given (-4)⁻²
we will apply (a)⁻ⁿ = [tex]\frac{1}{a^{n} }[/tex]
(-4)⁻² = [tex]\frac{1}{(-4)^{2} }[/tex]
[tex]= \frac{1}{(-1)^{2} (4)^{2} }[/tex]
[tex]= \frac{1}{16}[/tex]
[tex](-4)^{2} = \frac{1}{16}[/tex]
There is more than one answer!
Answer:
I think it's B and D
Step-by-step explanation:
PLEASE HELP
What type of association does the graph show between x and y?
Answer: Linear association
Step-by-step explanation:
Valentino's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.
Type of Crust Number Sold
Thin crust 338
Thick crust 331
Stuffed crust 164
Pan style 192
Based on this information, of the next 4000 pizzas he sells, how many should he expect to be stuffed crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.
Answer: Number of pizzas out of 4000 that is expected to be pan size
= 4000 * 168 / (326 + 309 + 247 + 168)
= 640
what is the slope of the line passes through the points (-3, -3) and (-5, -2) in simplest form help me
Answer:
Slope, [tex]m=\dfrac{-1}{2}[/tex]
Step-by-step explanation:
We need to find the slope of the line passes through the points (-3, -3) and (-5, -2).
The formula for the slope of a line is given by :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put x₁ = -3, y₁ = -3, x₂ =-5 and y₂ = -2
So,
[tex]m=\dfrac{-2-(-3)}{-5-(-3)}\\\\m=\dfrac{-1}{2}[/tex]
So, the slope of the line is [tex]\dfrac{-1}{2}[/tex].
A theater is selling tickets for a performance. Mr. Smith purchased 8 senior tickets and 5 child tickets for $136 for his friends and family. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96. What is the price of each ticket?
Answer:
for the seniors, the answer is $12, and for the children, the answer is 8.
Step-by-step explanation:
How many degrees warmer is Knowlton than
Gainesville
Knowlton-12c
Gainesville-9c cooler
whoever helps me ill mark brainliest
A cone with the same base but a height 3 times taller than the given cylinder exists. What is the volume of each figure? Express your answers in terms of pi.
Volume of the cylinder = pi
Volume of the cone = pi
Answer: the answer to this problem is 36 :)
Answer:
Both are 36
Step-by-step explanation:
I just did it
Graph the line 3x + y = 12.
Answer:
the slope is -3 and the y intercept is 12
Calculate or Simplify the value of each expression
a {-8} . 2/3
b {-8} .-2/3
c -18/3
d 18/-3
e -18/-3
Answer:
Step-by-step explanation:
[tex]b) (-8)*\frac{-2}{3}=\frac{(-8)*(-2)}{3}=\frac{16}{3}=5\frac{1}{3}\\\\c) \frac{-18}{3}= -6\\\\d) \frac{18}{-3}=\frac{6}{-1}= -6\\\\e) \frac{-18}{-3}=\frac{18}{3}= 6[/tex]
Complete the statements.
Graph ____has one real root.
Graph ____ has a negative discriminant.
Graph ____has an equation with coefficients
5x−4=16
what do i do
Answer:
x=4
Step-by-step explanation:
5x-4=16
5x-4+4=16+4 add 4 to each side
5x=20 simplify
5x/5=20/5 divide each side by 5
x=4 simplify
What is the volume of the composite figure. I said 36 but it is wrong.
Answer:
108
Step-by-step explanation:
You are correct for stating one tissue box has a volume for 36.
But notice there are 3 tissue boxes, so in order to find the total volume, you should add them up.
36+36+36=108
Answer:
6*3*2=36 there are 3 boxes so 36*3=108
Step-by-step explanation:
I will give BRAINLIEST
PLEASE HELP!! WILL MARK BRAINLIEST!!! I'M KINDA DESPERATE NOW!!!
Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
[tex]f(x)=2x^2+16\\g(x)=\sqrt{5x^{3} }[/tex]
Answer:
Part 1)
[tex]f(g(x))=10x^3+16[/tex]
Part 2)
The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=2x^2+16[/tex]
Which represents the amount of money Raul earns per ticket and:
[tex]g(x)=\sqrt{5x^3}[/tex]
Which represents the number of tickets Raul sells per hour.
Part 1)
We want to find f(g(x)).
So, we substitute g(x) for f(x). This yields:
[tex]f(g(x))=2(\sqrt{5x^3})^2+16[/tex]
This can be expanded a simplified as such:
[tex]f(g(x))=2((\sqrt{5})^2(\sqrt{x^3})^2)+16=10x^3+16[/tex]
Part 2)
Recall that f(x) outputs the amount of money Raul earns per ticket.
And g(x) inputs the amount of hours Raul works.
When we composed f(g(x)), the input and output stayed the same.
So, f(g(x)) represents the amount of money Raul earns per ticket (output of f(x)) given the amount of hours Raul works (input of g(x)).
Answer:
The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works
Step-by-step explanation:
*
Which does NOT describe SLOPE?
unit rate
rate of change
"per"
initial value
Unit Rate is the correct answer, I know because it is the correct answer
y = 3x + 2
2x + y = 47
x=
y=
Answer:
y=29
x=9
Step-by-step explanation:
plug the first equation into the second one as y
2x+y=47
solve
then plug answer u got in x
y=3(9)+2
solve
what is the exact value of cos(7pi/8)
Answer:
cos ([tex]\frac{7\pi}{8}[/tex]) = [tex]-\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
Decimal value: −0.9238795325...
Step-by-step explanation:
Write,
cos [tex]\frac{7\pi}{8}[/tex] = cos [tex](\pi-\frac{\pi}{8})[/tex] = −cos [tex]\frac{\pi }{8}[/tex]
Now using half angle formula, cos(x) = 2 cos²([tex]\frac{\pi }{2}[/tex]) − 1, we can write cos [tex]\frac{\pi }{4}[/tex] = 2
cos²([tex]\frac{\pi }{8}[/tex]) − 1
This means [tex]\frac{1}{\sqrt{2}}[/tex] + 1 = 2 cos²([tex]\frac{\pi }{8}[/tex])
2 cos²([tex]\frac{\pi }{8}[/tex]) = [tex]\frac{\sqrt{2}+1}{\sqrt{2}}[/tex]
cos²([tex]\frac{\pi }{8}[/tex]) = [tex]\frac{\sqrt{2}+1}{2\sqrt{2}}[/tex]
cos([tex]\frac{\pi }{8}[/tex]) = [tex]\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}[/tex]
Simplify,
[tex]\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}[/tex] = [tex]\sqrt{\frac{2+\sqrt{2}}{4}[/tex] = [tex]\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
Hence,
cos ([tex]\frac{7\pi}{8}[/tex]) = −cos ([tex]\frac{\pi }{8}[/tex]) = [tex]-\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
The exact value of cos(7pi/8) is [tex]\rm -\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex] and this can be determined by using the trigonometric properties.
Given :
Expression -- [tex]\rm cos(\dfrac{7\pi}{8})[/tex]
The following steps can be used to determine the exact value of the given expression:
Step 1 - Write the given expression.
[tex]=\rm cos(\dfrac{7\pi}{8})[/tex]
Step 2 - Rewrite the above expression.
[tex]= \rm cos(\dfrac{8\pi - \pi}{8})[/tex]
Step 3 - The above expression is reduced to:
[tex]= \rm -cos(\dfrac{ \pi}{8})[/tex] --- (1)
Step 4 - According to the trigonometric properties:
[tex]\rm cos(x) = 2 cos^2(\frac{x}{2})-1[/tex]
Step 5 - Substitute the value of x = [tex]\pi[/tex]/4 in the above expression.
[tex]\rm cos(\frac{\pi}{4}) = 2 cos^2(\frac{\pi}{8})-1[/tex]
Step 6 - Simplify the above expression.
[tex]\rm cos(\frac{\pi}{8})=\sqrt{\dfrac{\dfrac{1}{\sqrt{2}} +1}{2}}[/tex]
[tex]\rm cos(\frac{\pi}{8})=\sqrt{\dfrac{1+\sqrt{2} }{2\sqrt{2} }[/tex]
[tex]\rm cos(\frac{\pi}{8})=\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex]
Step 7 - Substitute the value of cos([tex]\pi[/tex]/8) in the expression (1).
[tex]\rm -cos(\frac{\pi}{8})=-\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex]
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3 of 8
The area of a circle is 16.71cm2.
Find the length of the radius rounded to 2 DP.
Answer:
Radius = 2.31 cm
Step-by-step explanation:
Area of circle = 16.71 square centimeters
[tex]\pi r^2 = 16.71 \\3.14r^2=16.71\\r^2=\frac{16.71}{3.14}\\r^2=5.32\\\sqrt{r^2}=\sqrt{5.32}\\r=2.306[/tex]
Radius of circle = 2.31 centimeter
is [tex]\sqrt{20.25}[/tex] rational or irrational?
Answer:
Rational
Step-by-step explanation:
Here, we want to check if the given value is rational or irrational
If a certain number is a non -perfect square, and it is placed inside the root, then it is a surd and thus termed irrational
However, the number 20.25 is a perfect square. in fact the square root is 4.5
This mean the expression is not irrational
Two sides of a triangle measure 25 cm and
35 cm. Which of the following could be
the measure of the third side?
0 11 cm
O 6cm
O 8 cm
O 3 cm
A recipe calls for 3 cups of pecans for every 5 cups of walnuts. How many cups of pecans should be added to 8 cups of walnuts?
A. 1.3 cups
B. 1.875 cups
C. 4.8 cups
D. 15 cups
Answer:A
Step-by-step explanation:
A ratio shows us the number of times a number contains another number. The correct option is C.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that a recipe calls for 3 cups of pecans for every 5 cups of walnuts. Therefore, the ratio of pecans to walnuts is,
Pecans/ Walnuts = 3 cups / 5 cups
Now, the number of cups of pecans that should be added to 8 cups of walnuts is,
Pecans/ Walnuts = 3 cups / 5 cups
Pecans/ 8 cups = 3 cups / 5 cups
Pecans = (8×3)/5 cups
Pecans = 4.8 cups
Hence, the correct option is C.
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The production cost to make 10 shirts is modeled by the expression 1.By + 5.5, where y represents the number of meters of fabric needed to make the shirts. Which
expression represents the production cost for one shirt?
A.0.18y +0.55
B.0.18y +5.5
C.1.8y +0.55
D.18y +55y
Answer:
The answer is 0.18y+5.5
Step-by-step explanation:
because the only thing you had to do is move the decimal.
The expression which represents the production cost for one shirt is, 0.18y +0.55. So Option A is correct
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The production cost to make 10 shirts is modeled by the expression,
Total Cost = 1.8y + 5.5,
where y represents the number of meters of fabric needed to make the shirts
So, for one shirt cost,
Cost of 1 shirt = Total Cost/10
= 1.8y + 5.5/10
= 0.18y + 0.55
Thus, the expression is 0.18y + 0.55
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HOW DO YOU GET THE ANSWER FOR NUMBER 2
Answer:
44.68
Step-by-step explanation:
just add them
Please help don’t know answer
Answer: Slope: 2/3
y-intercept: 9
Step-by-step explanation:
What is the simple interst on $32,000 at 7% interest for 6 months
Answer:
1120$
Step-by-step explanation:
Total Intrest/By 7%
Answer:
$1,120 hope this helps!
Step-by-step explanation:
A surfer is riding a 7 foot wave. The angle of depression from the surfer to the shoreline is 10 degrees. What is the distance from the surfer to the shoreline
Step-by-step explanation:
The distance from the surfer to the shoreline will be found as follows:
tan θ= opposite/adjacent
θ=10°
opposite=7ft
adjacent= x ft
substituting the values in our formula and solving for x we get
tan 10=7/x
hence
x=7/tan10
x=39.69897~ 39.7 ft
The surfer is 39.7 ft from the shoreline.
Answer:
The surfer is 39.7 ft from the shoreline.
Step-by-step explanation:
Find the slope of the graph of
the linear function, f,
if f(3) = 6
and f(-2) = -4.
Answer:
slope is 2
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{-4-6}{-2-3}[/tex]
= [tex]\frac{-10}{-5}[/tex]
= [tex]2[/tex]
Jack is 1.78 m tall.
Amy is 5 cm taller than Jack.
How tall is Amy?
Answer:
1.83
Step-by-step explanation:
1.78 + 5 cm
because it says she is taller so you add both
Height of Amy who is 5 cm taller than Jack is 1.83 meters.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Jack is 1.78 m tall and Amy is 5 cm taller than Jack.
Therefore, The sum of the height of Jack and 5 cm more is the height of
Amy.
Therefore,
178 cm + 5 cm = 183 cm is the height of Amy. (1m = 100 cm)
So, 183 cm is equal to 1,83 meters.
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