The suitable way to use the numbers 8, 6, and 2 to create an expression with an exponent that results in the value of 8 is by utilizing the equation 2^3. This equation means 'two raised to the power of three', meaning 2 multiplied by itself thrice, giving us the desired result, 8.
Explanation:To solve this question, we need to consider the mathematical operation of exponentiation, which involves a base number and an exponent. The exponent represents the number of times the base number is to be multiplied by itself.
Given the numbers 8, 6, and 2, we aim to use each number only once to create an expression that includes an exponent and yields a value of 8. The suitable way to do this is by following the equation 2^3 (where 2 is the base number and 3 is the exponent).
To explain further, an exponent is the number of times a number, known as the base, is multiplied by itself. For instance, 2^3 should be read as 'two raised to the power of three', essentially depicting 2 * 2 * 2, resulting in 8. This follows the standard rules of Exponential Arithmetic.
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The length of a rectangle is 4.2 cm more than 2 times the width. If the perimeter of the rectangle is 42.6 cm, what are its dimensions?
what are the steps for using a compass and a straightedge to construct the bisector of
ANSWER:
How to construct a Line Segment Bisector AND a Right Angle
using just a compass and a straightedge.
STEP-BY-STEP EXPLANATION:
Steps:
1)Place the compass at one end of line segment.
2)Adjust the compass to slightly longer than half the line segment length
3)Draw arcs above and below the line.
4)Keeping the same compass width, draw arcs from other end of line.
5)Place ruler where the arcs cross, and draw the line segment.
Kendall is stacking boxes that are 7.5inches tall. Explain how to find the height (in inches)
Final answer:
To find the height of stacked boxes, multiply the height of one box (7.5 inches) by the total number of boxes stacked.
Explanation:
Kendall is stacking boxes that are each 7.5 inches tall. To find the total height in inches of the stacked boxes, you would need to multiply the height of one box by the total number of boxes stacked. For example, if Kendall stacks 10 boxes, the calculation would be 7.5 inches x 10, which equals 75 inches. Therefore, the total height of the 10 stacked boxes would be 75 inches.
The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −7 0 −1 1 5 g(x) g(x) = 5x − 4 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
The coordinates of point D are (7, 4) and the coordinates of point E are (1, −3) .
What is the slope of the line that is perpendicular to DE¯¯¯¯¯?
Enter your answer as a simplified fraction in the box.
Use the information about sports in the photo to explain how inequalities can be used to describe school sports. Include an inequality describing the number of schools needed to add girls’ track and field so that the number is greater than the number of schools currently participating in girls’ basketball.
Which statements are true the ordered pair (1, 2) and the system of equations?
y=−2x+4
7x−2y=3
Select each correct answer.
When (1, 2) is substituted into the first equation, the equation is true.
When (1, 2) is substituted into the first equation, the equation is false.
When (1, 2) is substituted into the second equation, the equation is true.
When (1, 2) is substituted into the second equation, the equation is false.
The ordered pair (1, 2) is not a solution to the system of linear equations.
The ordered pair (1, 2) is a solution to the system of linear equations.
Solomon is taking out a 5,320 two year loan with an APR of 10.25%. What will the finance charge be for this loan to the nearest dollar?
The solution to -5m = -20 is negative.
True or false
False
a negative number times a negative number would have a positive answer
HELP PLEASE ASAP!
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PLEASE HELP ME, I NEED IT.
Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33?
A. a number line with open circles at negative 2 and 5 with shading in between.
B. number line with open dot at negative 2 with shading to the left and an open dot at 5 with shading to the right
C. number line with shading everywhere.
D. number line with open dot at negative 2 and a closed dot at 5 with shading in between.
The answer is B :)
I hope this helped
When the federal reserve wants more money to be printed, which agency will be in charge of printing it?
Answer:
The U.S. Treasury.
Step-by-step explanation:
jasmine has $15 dollars and save $2.50 every month . radha has $0 and save $3.50 every month. jasmines savings after x months can be represented by the function f(x)=2.5x+15. radahs savings after x months can be represented by the function g(x)=3.5x after how any moths will they both have the same amount in savings? find the value of x which f(x)=g(x)
2.5x+15 = 3.5x
subtract 2.5x from each side
15 = x
they will have the same amount after 15 months
Joel earns $1,700 per month. If he spends $425 on rent each month, what percent of his income does he spend on rent? A. 20% B. 331/3% C. 40% D. 25%
What could the answer be?
Solve the equation. How old is Sam?
Sam's age doubled plus 5 is the same as Sam's age tripled minus 1.
Question 5 options:
Sam is 6yrs old.
Sam is 4 yrs old.
Sam is 12 yrs old.
Sam is 5 yrs old.
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@Mochimin
Factor the four-term polynomial.
xz + x + yz + y
A. (z - y)(x + 1)
B.(x - y)(z + 1)
C.(x + y)(z + 1)
Rules for Plotting Points:
1) Start at the origin: _________
2) If your x-value is ___________, move right; if it is ___________, move left;
if it is _____, don’t move.
3) If your y-value is ___________, move up; if it is ___________, move down;
if it is _____, don’t move.
A rectangle has one side on the xx-axis and two vertices on the curve y=74+x2. y=74+x2. find the vertices of the rectangle with maximum area.
The rectangle with maximum area does not exist as the curve y = 74 + x^2 does not intersect the x-axis.
Explanation:To find the vertices of the rectangle with maximum area, we need to find the points of intersection between the curve y = 74 + x^2 and the x-axis.
Setting y = 0, we can solve the equation 74 + x^2 = 0 to find the x-coordinates of the vertices.
Since the curve is a parabola facing upwards, there are no points of intersection with the x-axis.
Therefore, the rectangle does not exist.
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Solve. 5t<-15
A) t > 3
B) t < 3
C) t > -3
D) t < -3
find the x and y intercepts -3x-6y=12
Answer:
x-intercept: -4y-intercept -2Step-by-step explanation:
The x-intercept is found where the graph crosses the x-axis, at y=0. Substituting that into the equation and solving for x, we get ...
-3x = 12
x = 12/-3 = -4 . . . . . x-intercept = -4
The y-intercept is found where the graph crosses the y-axis, at x=0. Substituting that into the equation and solving for y, we get ...
-6y = 12
y = 12/-6 = -2 . . . . . y-intercept = -2
_____
A graphing calculator confirms these values.
Given: M is the midpoint of LN; LM =8 prove:LN=16
The proof of LN= 16 is shown below:
What is midpoint?The midpoint formula is applied when one is required to find the exact center point between two defined points. So for a line segment, use this formula to calculate the point that bisects a line segment defined by the two points.
Given:
LM= 8
and M is the midpoint of LN
So, the line LN will be break into two equal parts LM and MN
then we can write
LM= MN= 8
Now,
LN= LM+ MN
LN= 8+8
L=16
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You have a rectangular vegetable garden in your backyard that measures 15 feet by 10 feet. You want to double the area of the garden by adding the same distance x to the length and width of the garden. Find the value of x and the new dimensions of the garden.
To double the area of the rectangular vegetable garden, we need to add the same distance, x, to the length and width. The value of x is 10 feet, and the new dimensions of the garden are 25 feet by 20 feet.
Explanation:To double the area of the garden, we need to add the same distance, x, to both the length and width of the garden. The original dimensions of the garden are 15 feet by 10 feet, with an area of 150 square feet. To double the area, we set up the equation 2(15+x)(10+x) = 2(15)(10). Solving this equation gives us the value of x and the new dimensions of the garden.
Expanding the equation, we have 30x + x² + 300 = 300. This simplifies to x² + 30x - 300 = 0. Factoring this quadratic equation, we get (x - 10)(x + 30) = 0. So x = -30 or x = 10. We discard the negative value since distance cannot be negative, so x = 10 feet.
The new dimensions of the garden are 15+10 = 25 feet and 10+10 = 20 feet.
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Anna has 10 to the 2nd power quarters. Jazmin has 10 to the second power dimes Who has more money, Anna or Jasmine? How much more? Explain
This question is based on the concept of logical reasoning.Therefore,they both have the same amounts of coins, the one with 100 quarters has more money.Thus, Anna has more money than Jasmine.
Given:
Anna has 10 to the 2nd power quarters. Jazmin has 10 to the second power dimes.
We need to calculate the who has more money, Anna or Jasmine.
According to the question,
Anna has 10 to the 2nd power quarters.
In mathematically expressed as,
[tex]\bold{10^2 = 100}[/tex] quarters
Now, Jazmin has 10 to the second power dimes.
In mathematically expressed as,
[tex]\bold{10^2 = 100}[/tex] dimes
So,they both have 100 coins. But, we know that quarter is 25 cents, while a dime is only 10 cents.
Anna has 100 quarters = [tex]\bold{100 \times 25 = 2500}[/tex]. That is 25 dollars.
Jasmine has 100 dimes = [tex]\bold{100 \times 10 = 1000}[/tex]. This is 10 dollars.
Therefore,they both have the same amounts of coins, the one with 100 quarters has more money.Thus, Anna has more money than Jasmine.
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When adding two numbers, such as 123 and 423, care is taken to first line them up and then add like digits. How does expanding this expression to [(1 × 102) + (2 × 101) + (3 × 100)] + [(4 × 102) + (2 × 101) + (3 × 100)] make the operation more like a polynomial addition problem?
6 ( y + 8 ) = 3 ( 2y - 7 )
Of the birds in Monica's pet shop, 1/5 are pigeons. Of the pigeons, 1/3 are white. Look at each expression. Can it be used to find the fraction of birds in Monica's pet shop that are white pigeons?
1/15.
The expression that can be used to find the fraction of birds in Monica's pet shop that are white pigeons is:
1/5 x 1/3 = 1/15
This calculation is derived by multiplying the fraction of pigeons in the pet shop (1/5) by the fraction of white pigeons among pigeons (1/3).
The linear pair postulate states that if two angles form a linear pair, then they are __________ angles.
Answer:
supplementary
Step-by-step explanation:
Simplify this problem: X3 / X.
What is the parents function of f(x)=3x-5