ANSWER
[tex] \frac{1}{2} [/tex]
EXPLANATION
The given expression is;
[tex]2 {x}^{ - 4} y[/tex]
We want to find the value of this expression when x=2 and y=4.
We substitute to get,
[tex]2 {(2)}^{ - 4} (4) [/tex]
[tex]8 \times {2}^{ - 4} [/tex]
Recall that
[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]
This implies that,
[tex]8 \times {2}^{ - 4} = 8 \times \frac{1}{ {2}^{4} } [/tex]
[tex]8 \times {2}^{ - 4} = 8 \times \frac{1}{16 } = \frac{1}{2} [/tex]
Answer:
Step-by-step explanation:
Find the 13th term of the sequence 5, 8, 11, 14, 17...
A 13th term does not exist
41
46
49
5,8,11,14,17,20,23,26,29,32,35,38,41
Add each number by 3
13th term is 41 ( first choice)
Answer:41
Step-by-step explanation:
The numbers go up by 3
Mama Mia restaurant used 1/2 of their mozzarella cheese making pizza, and the remaining 64 ounces making pasta. How many pounds did the restaurant start off with?
(please help I am bad at math)
Answer:
128 ounces
Step-by-step explanation:
Mama Mia Restaurant used 1/2 of their mozzarella cheese.
Fraction of the cheese left = 1 - 1/2 = 1/2
Remaining Cheese = 64 ounces
1/2 of their cheese = 64 ounces
All of their cheese = 64 x 2 = 128 ounces
pls pls pls help
I need help
Use the formula A = bh to determine which parallelograms have the same area.
What is that area?
Answer: Parallelograms
have an area of
square units.
Answer:
Parallelograms I, II, and IV
Step-by-step:
Area of parallelograms:
I. A=3*5=15 units squared
II. A=5*3=15 units squared
III. A=4*4=16 units squared
IV. A=5*3=15 units squared
So, parallelograms I, II, and IV have the same area of 15 units squared.
Answer:
Parallelograms I, II, and IV have an area of 15 square units
Step-by-step:
Area of parallelograms:
I. A=3*5=15 units squared
II. A=5*3=15 units squared
III. A=4*4=16 units squared
IV. A=5*3=15 units squared
So, parallelograms I, II, and IV have the same area of 15 units squared.
identify an equation in point-slope intercept form for the line perpendicular to y=3x+5 that passes through (4,-1)
Answer:
y + 1 = - [tex]\frac{1}{3}[/tex](x - 4)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 5 is in this form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex]
The equation of a line in point slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here (a, b) = (4, - 1), thus
y - (- 1) = - [tex]\frac{1}{3}[/tex](x - 4), that is
y + 1 = - [tex]\frac{1}{3}[/tex](x - 4) ← in point- slope form
I NEED HELP with edges ans skwe lines HELP ME DUE IN 6 HOURS
Answer: Figure name: hexagonal pyramid.
bases: 1 base
faces: LRM, LMN, LNO, LOP, LPQ, LQR
edges: LO, LP, LQ, LR, LM, LM, PO, ON, NM, MR, RQ, QP.
vertices: L, O, P, Q, R, M, N.
hope this helps! ;)
solve for x.
9(x - 6) = 8(x + 6)
Answer:
x=102
Step-by-step explanation:
9x-54=8x+48
subtract 8x from both sides
x-54=48
add 54 to both sides
x=102
Answer:
x = 102
Step-by-step explanation:
9(x + -6) = 8(x + 6)
Reorder the terms:
9(-6 + x) = 8(x + 6)
(-6 * 9 + x * 9) = 8(x + 6)
(-54 + 9x) = 8(x + 6)
Reorder the terms:
-54 + 9x = 8(6 + x)
-54 + 9x = (6 * 8 + x * 8)
-54 + 9x = (48 + 8x)
Solving
-54 + 9x = 48 + 8x
Add '-8x' to each side of the equation.
-54 + 9x + -8x = 48 + 8x + -8x
Combine like terms: 9x + -8x = 1x
-54 + 1x = 48 + 8x + -8x
Combine like terms: 8x + -8x = 0
-54 + 1x = 48 + 0
-54 + 1x = 48
Add '54' to each side of the equation.
-54 + 54 + 1x = 48 + 54
Combine like terms: -54 + 54 = 0
0 + 1x = 48 + 54
1x = 48 + 54
Combine like terms: 48 + 54 = 102
1x = 102
Divide each side by '1'.
x = 102
Which is an exponential function with a y-intercept of (0, -2)?
Answer:
f(x) = e^x - 3
Step-by-step explanation:
f(x) = e^x has a y-intercept of (0, 1) so we need to translate the function down 3 units to give:
f(x) = e^x - 3 (answer).
Answer: y=4^x - 3 or f(x) 4^x - 3
if you start on the unit circle at (0,-1) and move 360° in the counterclockwise direction, at what angle measure on the unit circle will you end up? Answer should be the angle measure in degrees.
Answer:
270°
Step-by-step explanation:
(0, -1) is at the 270° angle. If you do a 360°, you end up back where you started, so the angle is still 270°.
Campbell's is designing a new label for their soup cans that covers the entire side of the can The soup can has a height of 8 inches and a radius of 2.5 inches. Determine how much material is needed to create each label.
Answer:
When π is approximated, 125.68, or 40π
Step-by-step explanation:
Circumference formula is 2πr
This is approx: 15.71
Multiply that by 8 to find the surface area of the side of the can.
The answer is 125.68.
HOWEVER, if you are expressing this without approximating π,
it would be 5(Pi), then multiply by 8, and we would get 40π
So un-simplified is 40π
Final answer:
The amount of material needed to create each label for Campbell's soup cans is 40π square inches.
Explanation:
To determine the amount of material needed to create each label for Campbell's soup cans, we need to find the lateral surface area of the can. The lateral surface area is the area of the curved surface. Assuming the label covers the entire side of the can, we need to find the area of the curved surface which can be calculated using the formula:
Lateral Surface Area = 2 * π * radius * height
Substituting the given values, we have:
Lateral Surface Area = 2 * π * 2.5 * 8 = 40π square inches.
Angelo runs 7 miles per week and increases his distance by 1 mile each week. Marc runs 4 miles per week and increases his distance by 2 miles each week. In how many weeks will Angelo and Marc be running the same distance? What will that distance be?
Answer:
Step-by-step explanation:
You have to set each runner's plan equal to each other because they are equal in the end. You start with 7 miles for Angelo and 4 miles for Marc.
x is a variable that is multiplied by the number of weeks it takes for both runners' distances to be equal. So multiply x by the miles increased every week.
Marc = Angelo
2x + 4 = x + 7
x = 3
In 3 weeks each runner will run 10 miles for the week.
To find when Angelo and Marc will be running the same distance and what that distance will be, set up and solve equations.
Explanation:To find out in how many weeks Angelo and Marc will be running the same distance, we can set up an equation. Let's assume the number of weeks is x. Angelo's distance can be represented by the equation 7 + 1x, and Marc's distance can be represented by the equation 4 + 2x. To find when their distances are equal, we can set the two equations equal to each other and solve for x.
Setting the equations equal: 7 + 1x = 4 + 2x
Simplifying the equation: x = 3
Therefore, Angelo and Marc will be running the same distance in 3 weeks. To find the distance, we can substitute the value of x back into either of the original equations. Let's use Angelo's equation: 7 + 1(3) = 10
So, Angelo and Marc will be running 10 miles in the same distance.
Learn more about Running here:https://brainly.com/question/196765
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Checking account A charges a monthly service fee of $23 and a wire transfer fee of $7.50, while checking account B charges a monthly service fee of $14 and a wire transfer fee of S9.50. Which checking account is the better deal if 4 wire transfers are made per month?
Answer:
Checking account B
Step-by-step explanation:
If you do 7.50 times 4 plus 23 you get 53 dollars. With plan B you go 9.50 times 4 plus 14 to get 52 dollars.
Consider the equations: y = 3x + 2 and y = 2x + 1.
Solve the system of equations by completing the table of values to find an ordered pair that satisfies both equations.
Answer:
(-1,-1)
Step-by-step explanation:
y = 3x + 2x y-1 -10 21 52 83 11y = 2x + 1x y-1 -10 11 32 53 7Sample calculation
y = 3x + 2 y = 2x + 1
x = 2 x = 2
y = ? y = ?
y = 3*2 + 2 y = 2*2 + 1
y = 6 + 2 y = 4 + 1
y = 8 y = 5
The two that give exactly the same answer is
(-1, - 1)
Step-by-step explanation:
Given : Consider the equations [tex]y=3x+2[/tex] and [tex]y=2x+1[/tex]
To find : Solve the system of equations by completing the table of values to find an ordered pair that satisfies both equations ?
Solution :
For the equation, [tex]y=3x+2[/tex]
[tex]y(-1)=3(-1)+2=-1[/tex]
[tex]y(0)=3(0)+2=2[/tex]
[tex]y(1)=3(1)+2=5[/tex]
[tex]y(2)=3(2)+2=8[/tex]
[tex]y(3)=3(3)+2=11[/tex]
We create a table,
x y
-1 -1
0 2
1 5
2 8
3 11
For the equation, [tex]y=2x+1[/tex]
[tex]y(-1)=2(-1)+1=-1[/tex]
[tex]y(0)=2(0)+1=1[/tex]
[tex]y(1)=2(1)+1=3[/tex]
[tex]y(2)=2(2)+1=5[/tex]
[tex]y(3)=2(3)+1=7[/tex]
We create a table,
x y
-1 -1
0 1
1 3
2 5
3 7
What is the ratio of 7 nickles to 70 cents
This ratio can be presented as:
7:70
or
1:7
How to fill in the prime factor tree?????? Answer???
Step-by-step explanation:
On the 8 branch, to the left is 2, and on the right is 4. On the left branch, and on the left, it is 2, and there is a 2 for the 6 branch.
The perimeter of the rectangular state is 42 miles . A ranger estimates that there are 9 deer in each square mile of the park . If this estimates is correct ,how many total deer are in the park ,explain your answer using numbers ,symbols, and words
P.S this questions is important ,so answer it fast
Thank you
Answer:
990 deers is ONE possible answer.
Step-by-step explanation:
Since we don't know anything else than the perimeter, we don't know the exact dimensions of the park.
For example, it could be 10 x 11 miles, perimeter is 42, but the area is 110 sq miles.
It could also be 9 x 12 miles, perimeter is again 42, but the area is now 110 sq miles.
It could be a 1 x 20 miles park, perimeter is again 42, but the area is just 20 sq miles.
And it could be many other dimensions scenarios. That affect of course the calculation result.
For this answer, I'll assume the park is 10x11 miles, for an area of 110 sq miles.
Since the estimation is that there's 9 deeps for square mile... that means that for a park measuring 10x11 miles, there would be 990 deers (9 * 110).
Re-arrange this polynomial so it’s terms are in order from highest to lowest. 4x to the 5th power + 2x to the 3rd power - 15 - 7x to the second power
Answer:
[tex]4x^5+2x^3-7x^2-15[/tex]
Step-by-step explanation:
Look at the degrees of each term.
[tex]4x^5=5 \\ \\ 2x^3=3 \\ \\ -7x^2 = 2 \\ \\ -15=1[/tex]
Rearrange them from greatest to least.
[tex]4x^5+2x^3-7x^2-15[/tex]
What is the zero of the following function?
Answer:
D
Step-by-step explanation:
The zero of the function is the point on the x- axis where the graph crosses
That is x = - 5
Answer: OPTION D
Step-by-step explanation:
The zero of the function is the intersection of the function with the x-axis.
A function intersects the x-axis when the value of y is zero ([tex]y=0[/tex])
Then, you can observe in the graph attached that the function intersects the x-axis at the point (-5,0), where the x-coordinate is -5 and the y-coordinate is 0:
[tex]x=-5\\y=0[/tex]
Therefore, you can identify that the zero of the function shown in the figure is:
[tex]x=-5[/tex]
This matches with the option D.
Help please
“What are my chances of drawing a g”
Answer:
0.1
Step-by-step explanation:
There are a total of 10 tiles, of which 1 is the letter G
P(G) = [tex]\frac{1}{10}[/tex] = 0.1
0.1
Explanation step by step:
There is a total of 10 tiles of which 1 is the letter G
[tex]P(G) = \ \frac{1}{10} = 0.1[/tex]
A multiple choice test has five questions each with 5 possible answers. Find the probability of guessing the correct answers to all of the questions
Answer:
5/25 or 1/5
Step-by-step explanation:
5 questions, each has 5 possible answers, 5x5=25 each question had 1 correct answer so 5 right answers in the whole test. 5/25 but if u need to simplify, 1/5
Answer: Probability of guessing all 5 correctly: 1/3125 = 0.032%
Step-by-step explanation:
Probability of guessing the first question correctly: 1/5
For that 1/5 of the time when the first question has been guessed correctly, the second question could be guessed correctly 1/5 of the time. So the first two questions could be guessed correctly 1/5 × 1/5 = (1/5)^2 of the time.
Similarly the first three questions could be guessed correctly (1/5)^3 of the time.
and the first four, 1/5)^4 of the time;
and all fives,
(1/5)^5 of the time.
(1/5)^5 = 1/3125 = 0.00032 = 0.032%
* Hopefully this helps:) Mark me the brainliest:)!!!
Jefferson High School is looking to expand its student parking lot by expanding the existing lot as shown above. The size of the new parking lot will be twice the size of the old parking lot. How many feet, x, was the old parking lot expanded by?
Answer:
60
Step-by-step explanation:
A recipe calls for 2/3 cup of sugar for every 2 teaspoons of vanilla. What is the unit rate in cups per teaspoon?
Answer:
2/3 to 2 or 2/3:2 or two thirds to 2 or (2/3,2)
Step-by-step explanation: hope this helped
Which runner has the fastest pace?
Answer:
the correct answer is distance 2 and time 18
Step-by-step explanation:
Answer:
answer is distance 2 and time 18
Step-by-step explanation:
Hobby Shop is selling model cars and model trucks for 50% off this week. At the sale price, you can buy one car and one truck for $13.00. Also at the sale price, you can buy 4 trucks and 2 cars for $42.00. What is the sale price and the original price of the model car and the model truck?
Answer:
The truck original price is $16.00 and the car price is $5.00.
The truck sale price is $8.00 and the car price is $10.00.
Step-by-step explanation:
We need to find the original price of the truck (T) and car (C)
Sale price of the truck is 50% so that means it is half the original price.
Now let's see the equations we can come up with there:
At sale price:
[tex]T + C = \$13.00\\\\4T + 2C = \$42.00[/tex]
We can solve this through substitution.
Using the first equation, we can come up with an equation for one of the missing variables.
[tex]T + C =\$13.00\\\\C = \$13.00 - T[/tex]
We can use this equation on the second one, to solve for one variable. [tex]4T + 2C = \$42.00\\\\4T + 2(\$13.00-T) = \$42.00\\\\4T + \$26.00 - 2T = \$42.00\\\\4T - 2T = \$42.00 - \$26.00\\\\2T = \$16.00\\\\\dfrac{2T}{2}=\dfrac{\$16.00}{2}\\\\T = \$8.00[/tex]
The sale price of the model truck is $8.00.
Now can use this on the first equation again.
[tex]T + C = \$13.00\\\\\$8.00 + C = \$13.00\\\\C = \$13.00 - \$8.00\\\\C = \$5.00[/tex]
The sale price of the model car is $5.00.
Because it is 50% off on both models, the original price is twice the sale price. So we can solve it by multiplying the sale prices by 2.
Original price of model truck: $8.00 x 2 = $16.00
Original price of model car: $5.00 x 2 = $10.00
Answer:
The truck's original is $16. The sale price is $8. The car's original is $10. It's sale is $5.
Step-by-step explanation:
Please give me five stars, heart, and mark me brainliest! The other guy is incorrect.
Will give Brainlest! Help plz
41000 is 100%
29000 is ? %
?=29000x100/41000~70.73%
This graph shows the temperature in city for eight days what was the temperature range for this period 67 73 80 73 76 75 73 67 answers 12,13,15,16
Answer: The answer is 13
Step-by-step explanation: The range means to find the difference from the largest number and smallest number
1) line all the numbers from biggest to smallest
80,76,75,73,73,73,67,67
2) take the largest number and smallest number
largest=80
smallest=67
3) then subtract the two to find your range
80-67= 133x+4(x-8)-14 evaluate for x=11
Answer:
For X = 11, the expression is equal to 31
Step-by-step explanation:
Hello
For X = 11 you only have to replaced the value into the expression, so:
3(11) + 4(11-8) - 14
33 + 4(3) - 14
33 + 12 - 14
31
Best regards
Hello there!
Plug 11 into the equation, by replacing x with it and simplify.
3x+ 4(x-8) - 14
3(11) + 4(11-8) - 14 -- Remember PEMDAS, start by subtracting 11 - 8.
3(11) + 4(3) - 14 -- Next, multiply 3 by 11.
33 + 4(3) - 14 -- Now, multiply 4 by 3.
33 + 12 - 14 -- Now, add 33 to 12.
45 - 14 -- Now, take 14 away from 45.
31 -- This is your final answer.
I hope this was helpful and have a great rest of your day! ~ saturns
Which would best illustrate the percentage of students that received As, Bs, Cs, Ds, and Fs on recent test ?
A) pie graph
B) histogram
C) data table
D) line graph
A) pie graph is ur answer
A) pie graph
Pie graphs are best used when comparing percentages, so it would be best to compare values using a pie graph in this situation.
how do you rewrite 1/27 as an expression with a negative exponent
Answer:
3^-3
Step-by-step explanation:
27 = 3^3
so
1/ 27= 1 / 3^3 = 3^-3
To write the fraction \( \frac{1}{27} \) as an expression with a negative exponent, you can use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \), where \( a \) is any non-zero real number and \( n \) is a positive integer.
Applying this property to \( \frac{1}{27} \), we can see that the fraction is the reciprocal of \( 27 \) raised to the first power. Thus, we rewrite the expression \( \frac{1}{27} \) by flipping the position of \( 27 \) to the numerator and making the exponent negative:
\( \frac{1}{27} = 27^{-1} \)
So, \( 27^{-1} \) is the same as \( \frac{1}{27} \). When you calculate \( 27^{-1} \), you get the value of approximately \( 0.037037037037037035 \), which represents the decimal equivalent of the fraction \( \frac{1}{27} \).
A shipping box is shown below how many cubic feet will the shipping box hold
Answer
42
Step-by-step
Answer:
42 cubic feet
Explanation:
Formula for triangular prism(the figure in your picture): Volume=(B)H
B=Base=1/2bh — b=4ft h=3.5 ft
H=Height of prism= 6ft
So substitute formula:
Volume=(1/2(4)(3.5))*(6)
Volume=7*6
Volume=42 cubic feet
A soup can has a diameter of 8 centimeters and a height of 15 centimeters. About how much soup does the can hold? Use 3.14 for pi. Round to the nearest tenth.
Answer:
754 cm cubed i believe the answer is
Step-by-step explanation: