Answer:2^7 ≠ 7^2
Step-by-step explanation:
2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2
The only factor is 2
7^2 = 7 * 7
The only factor is 7
Comparing the factors when written as a repeated multiplication,
2^7 and 7^2 have no common factor :
2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2 = 128
7^2 = 7 * 7 = 49
25) Margie needs to borrow $9,000 from a local bank. The
loan has a 8.5% interest rate for 4 years. What will
Margie's monthly payment be?
A) $ 221,850.00
B) $3060.00
C) $250.0
D) $ 221.85
Answer:
B) $3060.00
Step-by-step explanation:
8.5% of 9,000 equals 765, then 765 multiplied by 4 equals 3060.
I think that it will take Margie 4 years to pay back the bank. And the interest rate that the bank charges is 8.5% per month.
I'm not sure if this is correct
Find the percent of change and state whether it was a percent of increase (I) or percent of decrease (D). from $289 to $762
Answer:
163.67 ( I )
Step-by-step explanation:
Ashley was given the following problem and she drew a bar diagram to help her solve the problem.
Julie is 5 years younger than her sister, Molly. The sum of their ages is 37. How old is each sister?
Identify the error that Ashley made in creating her diagram and explain to her how to fix it.
Answer:
Julie is 16 years old and Molly is 21 years old.
Step-by-step explanation:
Given that Julie is 5 years younger than her sister, Molly, and the sum of their ages is 37, to determine how old is each sister the following calculation must be performed:
(37 - 5) / 2 = X
32/2 = X
16 = X
(16 + 5) + 16 = X
21 + 16 = X
37 = X
Therefore, Julie is 16 years old and Molly is 21 years old.
15. If 8x + 6x + 5x + 3x = 440, then
2x + 5.8=
Answer:
2x + 5.8= 45.8
Step-by-step explanation:
8x + 6x + 5x + 3x = 440
combine like terms:
22x = 440
divide both sides of the equation by 22:
x = 20
2x + 5.8= 40 + 5.8 = 45.8
Find the amount of wood trim needed to frame a circular window with a diameter of 1.75 ft. Use 3.14 for n.
Answer:
2.40 ft I believe
Step-by-step explanation:
divide diameter by two
put 3.14 time diameter divided by two and square it
A pet store sold 274 cans of cat food last weekend for a total of $216.46. What was the price per can?
Answer:
Compare them ➗That's the answer
The midpoint M of CD has coordinates (5, 8). Point C has coordinates (4,8). Find the
coordinates of point D.
Write the coordinates as decimals or integers.
D=
Submit
4
help with problem please..
A development economist is studying income growth in a rural area of a developing country. The last census of the population of this area, several years earlier, showed that mean household annual income was 425 dollars, and the variance of household income was 2500 (dollarssquared). A current random sample of 100 households yields a sample mean income of $433.75. Assume that household annual incomes are approximately normally distributed, and that the population variance is known still to be 2500. Test the null hypothesis that population mean income has not increased ( H0 : "m"(greek letter) greater than equal to< 425 ) against the alternative hypothesis that it has increased ( HA :"m"(greek letter > 425 ), at a 1% level of significance.
What is the form of the rejection region?
a. Reject H0 if x < cv
b. Reject H0 if x > cv
c. Reject H0 if x < cv or if x > cv
d. Reject H0 if x = cv 3
What is the critical value?
a. 436.63
b. 433.75
c. 425
d. 437.88
What is the conclusion of the hypothesis test?
a. Accept H0
b. Reject H0 in favor of HA
Answer:
Reject H0 if x > cv
Step-by-step explanation:
The hypothesis :
H0 : μ ≤ 425
H1 : μ > 425
Standard deviation, s = √2500 = 50
Sample size, n = 100
xbar = 433.5
The test statistic, Z :
(xbar - μ) / s/√n
(433.5 - 425) / 50/10
Z = 8.5 / 5 = 1.7
The decision region ;
|Z| > Z0.01 ; Reject H0
From Z table ;critical value, Z0.01 = 2.33
1.7 < 2.33 ; We fail to reject then Null and conclude that thee is no significant evidence support the claim that population mean income has increased.
Simplify to a single power of 2
Answer:
2^7
Explanation:
You can add up the square of two and the square of five. This is the easiest way.
5.
Multiply.
(3x + 2)(x - 3)
Answer: 3x^2 - 7x - 6
Step-by-step explanation:
Answer:
3x^2-7x-6
Step-by-step explanation:
(3x+2)(x-3)
3x^2-9x+2x-6
3x^2-7x-6
Hope this helps.
A company sells widgets. The amount of profit , ymade by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find the maximum amount of profit the company can make, to the nearest Dollar.
y=-x^2+64x-292
Answer:
$732
Step-by-step explanation:
Given
[tex]y \to profit[/tex]
[tex]x \to widgets[/tex]
[tex]y = -x^2 + 64x - 292[/tex]
Required
The maximum profit
First, we calculate the maximum amount of widgets that can be sold using:
[tex]x = -\frac{b}{2a}[/tex]
Where:
[tex]a = -1; b = 64; x = -292[/tex]
So, we have:
[tex]x = -\frac{64}{2 * -1}[/tex]
[tex]x = -\frac{64}{-2}[/tex]
[tex]x = -(-32)[/tex]
[tex]x = 32[/tex]
The maximum profit is:
[tex]y = -x^2 + 64x - 292[/tex]
[tex]y = -(32)^2 + 64 * 32 - 292[/tex]
Using a calculator, we have:
[tex]y = 732[/tex]
Four students used a stopwatch to see how fast they could run around the perimeter of the playground they recorded their times in the chart below
Answer:
C : Duane
Step-by-step explanation:
Your welcome
What number must you add to the polynomial below to complete the square?
x2 + 15x
Answer:
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
Step-by-step explanation:
Perfect square binomial:
A perfect square binomial is given by:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
In this question:
We have that:
[tex]a^2 + 2ab + b^2 = x^2 + 15x + ?[/tex]
Since [tex]a = x[/tex], we have that:
[tex]2ab = 15x[/tex]
[tex]2b = 15[/tex]
[tex]b = \frac{15}{2}[/tex]
Completing the square:
The term that completes the square is [tex]b^2[/tex]. So
[tex]b^2 = (\frac{15}{2})^2 = \frac{225}{4}[/tex]
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
In the map below, Side P Q is parallel to Side S T.
Triangle P Q R. Side P Q is 48 kilometers and side P R is 36 kilometers. Triangle S R T. Side R T is 81 kilometers.
What is the distance between S and T? If necessary, round to the nearest tenth.
21.3 km
60.8 km
108 km
117 km
answer C.
Answer:
C.
Step-by-step explanation:
Determine the equation of this circle Assume the radius is a whole number (3,-2)
Answer:
1 1/2
Step-by-step explanation:
Which statement is true?
Group of answer choices
An equilateral triangle is never an acute triangle.
An isosceles triangle is sometimes a scalene triangle.
An acute triangle is always an equilateral triangle.
A equilateral triangle is always an isosceles triangle.
Answer:
An equilateral is always an isosceles triangle.
Step-by-step explanation:
A machine produces 3-inch nails. A sample of 10 nails is obtained and the lengths determined. After some calculation, the sample mean is 2.98 and the sample standard deviation is 0.09. Find a 90% confidence interval for the population mean length of nails produce by the machine. Please input the upper limit of the confidence interval
Answer:
The 90% confidence interval for the population mean length of nails produced by the machine.
(2.91562, 3.04438)
Step-by-step explanation:
Step:1
Given that the size of the sample 'n' = 10
Given that the mean of the sample (x⁻) = 2.98
Given that the standard deviation of the sample (s) = 0.09
Degrees of freedom = n-1 = 10 -1 = 9
t₀.₁₀ = 2.2621
Step:2
The 90% confidence interval for the population mean length of nails produced by the machine.
[tex](x^{-} - t_{9 , 0.10} \frac{S}{\sqrt{n} } , x^{-} + t_{9,0.10} \frac{S}{\sqrt{n} } )[/tex]
[tex](2.98 - 2.2621(\frac{0.09}{\sqrt{10} } , 2.98 + 2.262 \frac{0.09}{\sqrt{10} } )[/tex]
(2.98 - 0.06438 , 2.98 + 0.06438)
(2.91562 , 3.04438)
Final answer:-
The 90% confidence interval for the population mean length of nails produced by the machine.
(2.91562, 3.04438)
Is there a pattern behind prime numbers?
Answer:
There is a rule on how we find prime numbers.
Step-by-step explanation:
A clear rule determines exactly what makes a prime: it's a whole number that can't be exactly divided by anything except 1 and itself. But there's no discernible pattern in the occurrence of the primes.That's because, after the number 5, there are only four possibilities — 1, 3, 7, and 9 — for prime last digits
a box of colored pencils contain exactly 6 red pencils. The probability of choosing a red pencil from the box is 2/7. How many of the pencils in the box are NOT red?
Answer:
15
Step-by-step explanation:
You have to find the total number of crayons whcih will be 21.
Then you do 21-6 ( red pencil) to get 15
15 pencil not read.
Samantha is playing a game with the spinner shown below. If she spins te spinner 24 times, how many times is the spinner likely to land on 1?
A. 8 times
B. 16 times
C. 12 times
D. 4 times
Answer:
Step-by-step explanation:
Which of the following irrational numbers will result in a rational number when squared? Put a check mark next to all correct answers.
Answer:
The square root of 7 and the square root of 2
Step-by-step explanation:
PLEASE HELP
On the graph below, Point A is located at the intersection of angle θ and the unit circle.
What are the exact coordinates of point A?
Use the on-screen keyboard to type the answer in the box below.
https://imgur.com/a/UwbnsCV
Answer:
1/2,
Step-by-step explanation: Please find the attached image of unit circle.
We have been given that the measure of angle t is 60 degrees. We are asked to find the x-coordinate of the point where the terminal side intersects the unit circle.
We know that x-coordinate on unit circle represents cosine and y-coordinate represents sine of a given angle.
We can see from our attachment that x-coordinate of the point at angle 60 degrees is , therefore, x-coordinate of the angle of 60 degrees, where the terminal side intersects the unit circle is .
Question 1 of 9 Write the slope-intercept inequality for the graph below. If necessary, use does anyone know the right answer i keep getting it wrong
Answer:
y >= 4/3 x + 4
Step-by-step explanation:
First, we find the equation of the line.
y = mx + b
The y-intercept is 4, so b = 4,and we have
y = mx + 4
Now we find the slope using 2 points.
slope = m = (0 - 4)/(-3 - 0) = -4/(-3) = 4/3
The equation of the line is
y = 4/3 x + 4
The line is solid, so we will use >= or <=, but not > or <.
The shading is "above" the line, so the correct sign is >=.
Answer: y >= 4/3 x + 4
Does anyone know the answer
Answer:
d = 126, z = 28
Step-by-step explanation:
The angle with the variable is diagonal from the 105 degree angle. In this case, that means that they are equivalent. So, 105+21 = 126. d = 126 :)
Which equation has an a-value of 1, a b-value of –3, and a c-value of –5?
0 = –3x – 5 + x2
0 = x – 3 – 5x2
0 = 3x – 5 – x2
0 = –3x + 5 – x2
Answer:
Option (a) is correct.
For given values a = 1 , b = -3 , c = -5 the quadratic equation is
Step-by-step explanation:
Given : a = 1 , b = -3 , c = -5
We have to write the quadratic equation having a = 1 , b = -3 , c = -5 and choose the correct option.
The standard form of quadratic equation is , where a, b, c are constant integers.
Given : a = 1 , b = -3 , c = -5
Then Substitute, we get,
Thus, the obtained quadratic equation is same as option (a)
Thus, For given values a = 1 , b = -3 , c = -5 the quadratic equation is
The equation for which a-value 1, ab-value -3 and ac-value -5 is 0=-3x-5+x².
What is quadratic equation?
Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.
Here, a-value = 1,
ab-value = -3
ac-value = -5
a = 1, b = -3, and c = -5
General Equation,
ax² + bx + c = 0
1x² + (-3)x + (-5) = 0
x² -3x -5 = 0
Thus, the equation for which a-value 1, ab-value -3 and ac-value -5 is 0= -3x -5 + x².
Learn more about Quadratic Equation from:
https://brainly.com/question/1863222
#SPJ2
When Elijah left his house in the morning, his cell phone battery was partially
charged. The charge remaining in Elijah's battery, as a percentage, can be modeled by
the equation B = 27 – 4.5t, where t is the number of hours since Elijah left his
house. What is the slope of the equation and what is its interpretation in the context
nf the problem?
Answer:
The slope is -4.5
The slope means that Elijah's phone battery will decrease by 4.5 percent each hour.
Step-by-step explanation:
In the equation y = mx + b, m is the slope.
The coefficient in the equation B = 27 – 4.5t is -4.5. This means that -4.5 is the slope of the equation.
In the context of this problem, the slope will represent the percent that Elijah's phone battery will decrease per hour.
So, the slope means that Elijah's phone battery will decrease by 4.5 percent each hour.
Please help me. Image below.
Answer:
10 cubes
Step-by-step explanation:
2.5 × 1 × 2 = 5 cm³
5 ÷ 0.5
10 cubes
Answer:
10 cubes
Step-by-step explanation:
1 × 2 × 2.5 = 5cm^3
5 ×× .5 = 10
so 10 cubes would fit
A researcher is testing a claim that the mean wing span of bald eagles mean wing span is 22ft. He takes a simple random sample of 40 bald eagles and gets a sample mean of 24.6ft and a sample
standard deviation of 3.5ft. Find the test statistic, t=
Please help I’m stuck
Answer:
On wat
Step-by-step explanation:
Answer: 2 Don't know
Step-by-step explanation: