Which answer choice shows 3.002 written in expanded form?A) 3 + 0.2B) 3 + 0.02C) 3 + 0.002D) 3+ 0.0002

The number of times that 5.5 points is need to be scored to have a total gain greater than 15 points is A. 1

From the information, it was stated that there were - 3.25 points scored 4 times, -2.75 points scored 5 times, 3 points scored 2 times, and 5.5 points scored 4 times.

In this case, the entire score will be:

= (-3.25 × 4) + (-2.75 × 5) + (3 × 2) + (5.5 ×4)

= -13 - 13.75 + 6 + 22

= 11.25

Therefore, the times that 5.5 points is needed to be scored to have a total gain greater than 15 will be 1 time since 11.25 + 5.5 = 16.75. This is more than 15.

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SOLUTION

The following diagram will help us solve the problem

(a) From the diagram, the height of the parallelogram is given as TR, and it is 40 mm

Now we can use the area which is given to us as 3,600 square-mm to find the base of the parallelogram, which is PQ

So,

Hence PQ is 90 mm

(b) Now, note that the side

So, we will find QR

Also, since we have PQ, we can find TQ, that is

Note that triangle QRT is a right-angle triangle, and QR is the hypotenuse or the longest side

From pythagoras

So,

Now, since

Hence PS is 50 mm

Given:

To find:

Coefficient of determination

Explanation:

The coefficient of determination is also known as the R squared value, which is the output of the regression analysis method.

If the value of R square is zero, the dependent variable cannot be predicted from the independent variable.

So, here the required coefficient of determination is:

Final answer:

Hence, the required coefficient of determination is (B) 0.96.

Answer:

16

Explanation:

The angles ∠1 and ∠2 are complementary, meaning

Visually,

Now, ∠1 = 74; therefore,

subtracting 74 from both sides gives

which is our answer!

The width of the box is 12 inches

The formula for calculating the volume of a rectangular box is expressed as:

where:

• l is the ,length ,of the box

• w is the ,width, of the box

• h is the ,height ,of the box

Given the following parameters

• length = 18 inches

• heigh = 9 inches

• volume = 1,944 cubic inches

Substitute the given parameters into the formula to calculate the width of the box as shown:

Divide both sides by 162 to have:

Hence the width of the box is 12 inches

Explanation:

To find the value od 3-(-2), we will multiply the sign at the outer with the inner

The correct answer is Option A ( III Only). I . -16 sum cannot be negative, II. Not a G.P, III. Sum = 1/4, and IV. Not a G.P.

Given geometric series,

I. 4 +5 +25 /4 ….

The common ratio(r) is (5/1)/(4/1) = 5/4.

S∞ = a / ( 1 - r)

     = 4 / ( 1 - 5/4)

     = 4 / -1/4

S∞ = -16.

Since sum cannot be negative.

II . -7 + 7/3 - 7/9+ ....

  Here common ratio = -7 / (7/3) = -1/3

   but - 7/9 / 7 /3 = 7/9

Here there is no common ratio so this not a G.P.

iii. 1/2 -1 + 2.....

     Common ratio = -1 / (1/2) =  -2

     S∞ =  a / ( 1 - r)

           = 1/2 / (1 -(-2))

     S∞  = 1/4.

iv  4 - 8/5 +16/5.....

   Here there is no common ratio.

   So this is not a G.P.

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The equation of line perpendicular to 4y = x-8 passing through (4,-1) is:

[tex]y = -4x+15[/tex].

These lines are written in the form y = mx + b, where m is the slope and b is the y-intercept. We know from the question that our slope is 3 and our y-intercept is –5, so plugging these values in we get the equation of our line to be y = 3x – 5.

Given equation of line is:

4y=x-8

We have to convert the given line in slope-intercept form to find the slope of the line

Dividing both sides by 4.

[tex]y = \frac{1}{4}x-2[/tex]

Let [tex]m_{1}[/tex] be the slope of given line

Then,

[tex]m_{1}[/tex] = [tex]\frac{1}{4}[/tex]

Let [tex]m_{2}[/tex] be the slope of line perpendicular to given line

As we know that product of slopes of two perpendicular lines is -1.

[tex]m_{1}*m_{2} = -1\\\frac{1}{4}*m_{2}=-1\\ m_{2} = -4[/tex]

The slope intercept form of line is given by

[tex]y = m_{2}x+c[/tex]

[tex]y = -4x+c[/tex]

to find the value of c, putting (4,-1) in equation

[tex]-1 = -4*4+c\\-1+16 = c\\c = 15[/tex]

Putting the value of c in the equation

  [tex]y=-4x+15[/tex]

Hence, The equation of line perpendicular to 4y = x-8 passing through (4,-1) is  [tex]y = -4x+15[/tex].

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The given decimal can be written as a quotient of 513/1000.

What is quotient?

In maths, the result of dividing a number by any divisor is known as the quotient. It refers to how many times the dividend contains the divisor. The statement of division, which identifies the dividend, quotient, and divisor, is shown in the accompanying figure. The dividend 12 contains the divisor 2 six times. The quotient is always less than the dividend, whether it is larger or smaller than the divisor.

we can write the decimal given 0.513 as a answer of of 513 divided by 1000.

I.e.

[tex]0.513 = \frac{513}{1000}[/tex]

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Answer: ask ten students wearing football jerseys each day for a week

This sample wouldn't b representative because, the use of a footblla

SOLUTION

From the right triangle with two interior angles of 45 degrees, the two legs are equal in length, that is AB = BC

And from Pythagoras, the square of the hypotenuse (AC) is equal to the square of the other two legs or sides (AB and AC)

So this means

So from the first option

Hence the 1st option is correct, so its possible

The second option

Hence the 2nd option is wrong, hence not possible

The 3rd option

Hence the 3rd option is wrong, not possible

The 4th option

Hence the 4th option is correct, it is possible

The 5th option

AB = BC

This is correct, and its possible

The last option

This is wrong and not possible because AB should be equal to BC

Hence the correct options are the options bolded, which are

1st, 4th and 5th

Because x is continuous, we should use interval notation, the domain is:

D: [1, ∞)

For a function y = f(x), we define the domain as the set of possible inputs of the function (possible values of x).

To identify the domain, we need to look at the horizontal axis. The minimum value is the one we can see in the left side, and the maximum is the one we could see on the right side.

There we can see that the domain starts at x = 1 and extends to the left, so the notation we can use for the domain is:

D: x ≥ 1

We know that the value x =1 belongs because there is a closed dot there.

The correct option is A, because the domain is continuous (as we can see in the graph), we should use interval notation. In this case the domain can be written as:

D: [1, ∞)

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ok

that is the rule

just identify a and b in your problem

a = x

b = 6

Substitute in the theorem, and simplify

The given inequality is:

2 (x - 1

we have

four subtracted from the product of 10 and a number is at most-20

Let

n ----> the number

so

solve for n

the solution for n is the interval (-infinite, -1.6]

All real numbers less than or equal to negative 1.6

let f(x) = y

To find the inverse of f(x), we would interchange x and y:

Then we would make the subject of formula:

In interval notation:

Answer: (f o g)(-7) = 95

Step by step solution:

We have the two functions:

We need to find (f o g)(-7) or f(g(-7)), first we evaluate g(-7):

Now we evaluate f(48):

The given data points from the graph of the exponential function, f, and the, values from the table of the function g, gives the statement that correctly compares the two functions as the option;

The end behaviour of a function is the description of how the function behaves towards the boundaries of the x–axis.

The given points on the exponential function, f, are;

(-0.25, 10), (0, 6), (5, -2) and also the x–intercept (1, 0)

The points on the function g, obtained from the table of the values for g(x), expressed as ordered pairs are;

(-1, 15), (0, 3), (1, 0), (2, -34), (3, -16)

The coordinates of the x–intercept is given by the point where the y–value is zero.

The x–intercept for the exponential function, f, is therefore (1, 0)

Similarly, the x–intercept for the function, g, is (1, 0)

Therefore, both functions have the same x–intercept

However, the end behaviour of the function, f, as the x approaches infinity is that f(x) approaches negative infinity, while the end behaviour of the function, g, as the the value of x approaches infinity is g(x) is increasing towards positive infinity.

The correct option is therefore;

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Let the first number = n

So second number = n+2

the product of number is 728.

That mean:

Solve the equation:

For positive number is n=26.

scond number is:

So smaller number is 26.

In this case the aswer is very simple. .

The congruent parts are the equal parts in the 2 triangles.

Therefore, the congruent parts would be:

1. side AB and side XY

2. ∠ A and ∠ X

3. side AC and side XZ

That is the solution. .

To solve this problem we have a formula at hand: the mean (m) number of credits cards is

Then,

For this exercise you need to remember that a Cube is a solid whose volume can be calculated using the following formula:

Where "V" is the volume of the cube and "s" is the length of any edge of the cube (because all the edges of a cube have the same length).

For example, if you have a cube and you know that:

You can substitute this value into the formula and then evaluate, in order to find the volume of the cube. This would be:

The answer is:

You can find it using the formula

Where "s" is the length of any edge of the cube

The equation that we have to build has the following form:

• The fixed cost of the phone is $88, which will be represented by ,b,.

• The variable cost per month is $116.43, which will be represented by ,m,.

• y ,is the dependent variable that we want to know (, C(t) ,)

• x ,is the independent variable, in our case, ,t,.

Replacing the values given in the problem we get:

The cost for 22 months will be:

Answer:

• Equation

• Cost in 22 months: $2660.46

we have that

between m<3 and m<7 -----> no relationship (because q and p are not parallel)

Part 2

the relationship between m<12 and m<10

is

vertical angles

m<12=m<10 ------> by vertical angles

According to the given data we have the following:

total households in the US=1.2*10^8. hence:

average household uses 400 gallons of water each day

let x=total number of gallons of water used by households in the US each day

Therefore x=total households in the US*average gallons of water households uses each day

x=120,000,000*400

x=48,000,000,000

The total number of gallons of water used by households in the US each day is 48,000,000,000

ANSWER:

The standard deviation is 7

STEP-BY-STEP EXPLANATION:

The standard deviation formula is as follows

The first thing is to calculate the average of the sample like this:

Replacing and calculate the standard deviation:

We are given the function that models a deer population:

Where x is the years since the study started. If we want to know the initial population, we want to find the population at x = 0 years.

Thus:

The correct answer is option b. 40

Since 2000 pounds = 907 kilograms, use the conversion factor:

To find out what 91 kg are equal to, measured in pounds:

Therefore, a baby elephant weighs about 200 lbs.

The percent error of the house of the pizza would be 2.

The difference between the estimated and actual values in comparison to the actual value is expressed as a percentage. In other words, the relative error multiplied by 100 equals the percent error.

Percent errors indicate the magnitude of our errors when measuring something in an analysis process. Lower percentage errors indicate that we are getting close to the accepted or original value.

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To determine the percent error, we will measure how much percent of the actual value, the error is, in the estimated value.

We have been given that House of Pizza says that their pizzas are 14 inches wide, but when measured, the pizza was 12 inches.

WE know that Error = Actual value - Estimated value

Then Error = 14 - 12 = 2

Therefore, the percent error would be 2.

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Note : The use of comma as number separator represent point in this solution

Step 1: Let the number be x, thus, 2/7 parts of the number means

Step 2: Subtract 0,4 from 2/7 parts of x

Step 3: Equate the expression above to 3/5

Step 4: Simplify the equation above

Hence, the number is 3,5

Option C is correct