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[tex]2(0.03) = 2 \times \frac{3}{100} = \\ [/tex]
[tex] \frac{2 \times 3}{100} = \frac{6}{100} = 0.06 \\ [/tex]
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The value of the expression is 0.0009.
We have,
To explain the process of evaluating (0.03)², we need to understand the concept of exponentiation and how it applies to decimal numbers.
When we raise a number to the power of 2 (or square it), we are essentially multiplying the number by itself.
In this case, we are squaring the decimal number 0.03.
To calculate (0.03)², we multiply 0.03 by itself:
= 0.03 x 0.03
= 0.0009
In decimal form,
0.03 squared is equal to 0.0009.
This process follows the general rule of exponentiation, where raising a number to a power means multiplying the base number by itself the specified number of times.
In this case, we square 0.03 by multiplying it by itself once, resulting in 0.0009.
Thus,
The value of the expression is 0.0009.
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Interest on and investment is
Answer:
What do you mean?
Step-by-step explanation:
You only stated a couple of words with no image or anything, please let me know so I can help properly
How are x and y intercepts alike and different?
Answer:
x and y intercepts are alike because they both cross each other, they are different because the Y axis is vertical while the X axis is horizontal.
The similarities between [x] - intercept and [y] - intercept is discussed below.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have [x] and [y] intercepts of a straight line.
The [y] - intercept is the line where the line cuts the [y] - axis whereas [x] - intercept is the line where the line cuts the [x] - axis.[y] - intercept has coordinates (0, y) and [x] - intercept has coordinates (x, 0).We can calculate the slope of the line using the [y] - intercept and the [x] - intercept as -m = (0 - y)/(x - 0)
m = - y/x
Therefore, the similarities between [x] - intercept and [y] - intercept is discussed above.
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if f (x) = 3x2 V8 + x2, what is f'(1)
Answer:
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Step-by-step explanation:
what is the number three and eight tenths as a decimal.
Answer:
3.8
Step-by-step explanation:
3 8/10 can be written as 3.xx because all we have to do is 8 divided by 10 which equals .8 so 3+.8=3.8
Steph bought a used bicycle ,restored it and then marked it up by 1/4 of the price she paid. later, she sold it for the marked up price to $80 how much in dollars did steph pay for the bicycle?
Answer:
$ 64
Step-by-step explanation:
Let Steph paid $x to buy the used bicycle.
After restoring, she marked it up by 1/4 of the price she paid.
So, the marked price [tex]= x +\frac 1 4 x = \frac {5x}{4}[/tex]
As she sold the bicycle for the marked up price to $80.
So, [tex]\frac {5x}{4} = 80[/tex]
[tex]\Rightarrow x = \frac {80\times 4}{5}\\\\\Rightarrow x = 64.[/tex]
Hence, she paid $ 64 for the bicycle.
7. 21 is what percentage of 30? *
Answer:
70
Step-by-step explanation:
21/70 is .7 move to the right 2 times so 70%
Answer: 70
:D.............
What is the constant of proportionality in the equation y=25X?
Answer:
Step-by-step explanation:
y = kx
If y = 25x , then k = 25
A and B equal what?? Helpppp??
A is 155
B is 65
For a:
180-25 = 155
For b:
90-25 = 65
Answer:
a=155
b=65
Step-by-step explanation:
a
180-25
= 155
b
360-25-25-90-155
=65
I will be posting some questions whoever gets them right gets brainliest
3x+10=31. What is the value of 2x
Answer:
x = -7 is the answer
Step-by-step explanation:
answer is above
Write a quadratic function h whose zeros are 9 and 1
Answer:(x^2)-10x+9
Step-by-step explanation:
Zeroes would be 9 and 1, so the equation would be (x-9)(x-1), and multiplying with FOIL gives us xsquared -10x+9
If the given zeroes of the equation are 9 and 1 the quadratic equation will be x²-10x+9.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
Any function of the form
[tex]\rm f(x) =ax^2+bx+c[/tex]
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.
It is given that the zeroes of the equations are,9 and 1,
The equation with zeroes is represented as,
(x-a)(x-b) =0
Substitute the given values,
(x-9)(x-1) = 0
Open the bracket and perform the arithmetic operations,
(x(x-1) -9(x-1) = 0
x²-x-9x+9=0
x²-10x+9
Thus, if the given zeroes of the equation are 9 and 1 the quadratic equation will be x²-10x+9.
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A rectangular prism is 10 inches long, 5 inches wide, and 6 1/2 inches tall. What is the volume in cubic inches of the prism?
Answer:
325 cubic inches
Step-by-step explanation:
10*5=50
50*6.5=325
Hope that helped! Please don't hate me if I did something wrong!
Given h(x) = 2x - 3 , solve for when h(x) = - 3 .
Answer:
h(x)=-3;x=0
Step-by-step explanation:
When given h(x), you are in effect, being given the output of the function.
So, placing h(x)=-3 in place for h(x)
We get
-3=2x-3
Where -3+3=2x
0=2x
x=0
So, x=0
Why was 56 and 36 points selected?
find the height of the giraffe in the diagram. Show your work below.
The distance from the person to the mirror is 5 ft. The distance from the mirror to the giraffe is 15 ft.
15/5 = 3
Multiply the height of the person by 3:
5 ft = 60 inches 60+3 = 63 inches
63 x 3 = 189 inches
189/12 = 15.75 ft = 15 feet 9 inches
The giraffe is 15 ft 9 inches tall
Question 7 of 10
Identify the slope and intercept of the following linear equation. Y = 1/5x-6
A. Slope: -1/5; intercept: 6
B. Slope: 1/5; intercept: 6
C. Slope: 5; intercept: -6
D. Slope: 1/5; intercept: -6
Answer:
D
Step-by-step explanation:
equation is y=mx+b
b is y intercept
m is slope
A sphere has a radius of 11 Inches. A horizontal plane passes through the center of the sphere.
Part 1 out of 2
Describe the cross section formed by the plane and the sphere.
It is a (square, circle, or oval) with a radius of in.
Answer:
part 1
circle, 11
part 2
decrease
Step-by-step explanation:
A market research analyst claims that 32% of the people who visit the mall actually make a purchase. You think that less than 32% buy something and decide to test the claim. You stand by the exit door of the mall starting at noon and ask 82 people as they are leaving whether they bought anything. You find that only 20 people made a purchase.
Required:
a. State the null and alternative hypotheses to test that less than 32% of man visitors make a purchase.
b. Find the value of the test statistics z.
c. The p-value of the test is about:______
Answer:
p=32 p<32
Step-by-step explanation:
Gina is a server at a restaurant. A table spends $34 on food and leaves Gina a 18% tip. What is Gina's tip?
A. $6.12
B. $40.12
C. $26
D. $8.24
Answer:
A.
tip: $6.12
total amount: $40.12
Answer:
A
Step-by-step explanation:
34.00 x .18 = 6.12
Take 18 and put a decimal in front of it and multiply it by the cost (34.00)
example if it were 20.00 and the tip was 5%
20.00 x .05
Which function is a quadratic function?
f(x) = 2x2
g(x) = 5x3
k(x) = –x
b(x) = –9x4
Answer:
A. f(x) = 2x2
Step-by-step explanation:
Insurance companies A and B each earn an annual profit that is normally distributed with the same positive mean. The standard deviation of company A’s annual profit is one half of its mean. In a given year, the probability that company B has a loss (negative profit) is 0.9 times the probability that company A has a loss.Calculate the ratio of the standard deviation of company B’s annual profit to the standard deviation of company A’s annual profit.(A) 0.49(B) 0.90(C) 0.98(D) 1.11(E) 1.71
Answer:
C. 0.98
Step-by-step explanation:
Let x be the mean of Company A and B annual profit and x/2 and y are standard deviation of Company A and B annual profit.
P(B<0) = 0.9*P(A<0)
P(Z<(0-x)/y) = 0.9*P(Z<(0-x)/(x/2))
P(Z<-x/y) = 0.9*P(Z<-2)
P(Z<-x/y) = 0.0205
x/y =2.04
Or y/x = 1 /2.05
y/x =0.49
Ratio of the standard deviation of company B annual profit to the standard deviation of company A annual profit =y/(x/2)
= 2*(y/x)
= 2*0.49
= 0.98
a company lost $5,676 over a year. How much money did they lose each month if it was slit evenly
Answer:
I think the answer is 2,838
what is 67.13 squared?
Answer:
4506.4369
Step-by-step explanation:
welcome
A ball is thrown straight up into the air from the top of a building standing at 50 feet with an initial velocity of 65 feet per second the height of the ball in feet can be modeled by the following function: h(t)=-16t^2++16t+96 When does the ball reach its maximum height?
Answer:
0.5 seconds (at 100 feet in the air).
Step-by-step explanation:
So, the height of the ball can be modeled by the function:
[tex]h(t)=-16t^2+16t+96[/tex]
Where h(t) represents the height in feet after t seconds.
And we want to find its maximum height.
Notice that our function is a quadratic.
Therefore, the maximum height will occur at the vertex of our function.
The vertex of a quadratic function in standard form is given by the formula:
[tex](-\frac{b}{2a}, f(-\frac{b}{2a}))[/tex]
In our function, a=-16; b=16; and c=96.
Find the x-coordinate of the vertex:
[tex]x=-\frac{(16)}{2(-16)}=1/2[/tex]
So, the ball reaches its maximum height after 0.5 seconds of its projection.
Notes:
To find it’s maximum height, we can substitute 1/2 for our function and evaluate. So:
[tex]h(1/2)=-16(1/2)^2+16(1/2)+96[/tex]
Evaluate:
[tex]h(1/2)=-4+8+96=100[/tex]
So, the ball reaches its maximum height of 100 feet 0.5 seconds after its projection.
There are 230 calories in 4 ounces. How many calories are in 6 ounces
Answer:
345 calories
Step-by-step explanation:
Divide 230 by 4
57.5
Multiply 57.5 by 6 ounces
The answer is 345 calories
Hope this helped :)
Answer:
345 calories
Step-by-step explanation:
Since you know there are 230 calories in 4 ounces you can divide the 230 calories by 4 to find out how many calories are in each ounce.
230/4= 57.5
Since there are 57.5 calories in each ounce, you can multiply this by 6 ounces to find how many calories are in 6 ounces
57.5 x 6 = 345
Mrs. Pearce conducted a survey in her class on the ages of famous people. The table below shows the results of her survey. Guess Actual Age 15 28 25 28 39 50 36 24 42 56 45 72 80 Which equations could best represent the line-of-best-fit for the given data set?
Answer:
y=1.19x-4.3
Step-by-step explanation:
I did the math
Answer:
just here to steal some old points! sorry and thanks
Step-by-step explanation:
Devon found that for every 4 miles he walks, he needs one bottle of water. He plotted his water usage on a graph but left out some possible points. On a coordinate plane, the points (4, 1) and (12, 3) are plotted.
Answer:
(8, 2)
Step-by-step explanation:
(4, 1)+(4, 1)+(4, 1)=(12, 3)
(4, 1)+(4, 1)=(8, 2)
Answer:
C
Step-by-step explanation:
(8.2)
Solve for x. 4 In (4x) = 16
Answer:
x= 4
Step-by-step explanation:
4 x 4= 16
Answer:
Step-by-step explanation:
In 4x=26
4x=e^26
x= e^26/4
x=4.89×10^10
2. In AGHK, GH = 11, HK = 21, and GK = 15. To the nearest tenth, what is m
Answer:
ok here is the answer
Step-by-step explanation:
how about you stop cheating and do it by your self
How much sales tax will Justin pay on a Computer priced at $1,723.42 if the sales tax rate is 9.25%?
Answer:
$1882.84
Step-by-step explanation:
Total cost = 109.25% = 109.25% x $1723.42 = $1882.84 (2dp)
Topic: Percentage
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Find the horizontal asymptote, if any, of the graph of the rational function. f(x)=16x5x2+7