Name four rays that have point E as an endpoint.

Answer:

(i) (x+4)(x-4)

Step-by-step explanation:

(ii)64m² - 800mn +2500n²

Answer:

y = 11

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

Answer:

3x

Step-by-step explanation:

To answer this question, we have to understand what a product is. A product is the result of multiplication. For example, the product of 5 and 5 is 25 because 5 × 5 = 25.

We can apply this concept to the given expression.

"the product of 3 and a number"

means:

3 × "a number"

And since the problem specifies that "a number" is represented by the variable x, we can replace it with that.

3 × x

This looks a bit confusing with the x-like multiplication sign, so we can remove that and make 3 a coefficient of x.

3x

Answer:

3*x

Step-by-step explanation:

We can break down the problem piece by piece. We have "the product". The product of what? The product of 3 and a number. The problem tells us to replace a number with x. So it is 3*x.

Answer:

1:3 5/9

18/18=1 64/18=3 5/9

The regression equation, given the line of best fit and the points on the line, would be F ( x ) = 30x + 685

To find the regression equation, you first need to find two points on the line on the graph. Those two lines would be ( 3, 775) and ( 4 , 805).

The next step would be to find the slope of the line :

= ( Y₂ - Y ₁ ) / ( X ₂ - X  ₁ )

= ( 805 - 775 ) / ( 4 - 3 )

= 30 / 1

= 30

Then use the points to find the y - intercept :

y =  mx + y- intercept

775 = 30 ( 3 ) + y - intercept

y - intercept = 775 - 90

y - intercept = 685

The regression equation is:

F ( x ) = 30x + 685

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The percent of the baked foods that are cakes will be 25.33%

It should be noted that a percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

The percentage then refers to a component per hundred. The word percentage simply means per 100 and it is represented by %. In this situation, the bakery produces 280 loaves of bread and 95 cakes daily.

The percent of the baked foods that are cakes will be:

= Number of cakes / Number produced daily × 100

= 95 / (280 + 95) × 100

= 95 / 375 × 100

= 25.33%

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We know that Nevaeh initially deposited $2,100, and now she has $2,131.50 in her account. The interest earned is $2,131.50 - $2,100 = $31.50. To find out how many months has she been investing her money, we can use the following formula:

Time (in months) = (Interest / Principal) x (12 / Interest Rate)

Where Principal is the initial deposit amount, Interest Rate is the annual interest rate, and Interest is the amount of interest earned.

Plugging in the given values, we get:

Time (in months) = ($31.50 / $2,100) x (12 / 0.06)

Time (in months) = 0.0149 x 200

Time (in months) = 2.98

Since time cannot be in fraction of months, it has to be rounded off. So, Nevaeh has been investing her money for approximately 3 months.

Answer:

Step-by-step explanation:

To prove that OHAP is a square, we need to show that all four sides are congruent and all four angles are right angles.

Since AOB is a right isosceles triangle, we know that angle OAB and angle OBA are both congruent to 90 degrees, which means that they are both right angles. Since [OH] is the altitude relative to [AB], it bisects angle OAB, which means that angle AOH and angle HOA are both congruent to 45 degrees. Since P is the symmetric of H with respect to OA, we know that OA is congruent to OP, and we also know that OH is congruent to OP. Therefore, all four sides of OHAP are congruent, which means that OHAP is a square.

Answer:

13.25

Step-by-step explanation:

1. you have to subract the cost of the drink:

94.25-1.50=92.75

2.you have to divide to get the individual cost of pizzas by doing

92.75÷7=13.25

so therefore your answer is 13.25 per pizza

Answer:

Hope this helps! Enjoy Learning!:D

(a) The population of interest to the researchers is private water wells in or near the Barnett Shales in Texas.

(b) The sample is 100 private water wells, 91 of which are located within 5 km of an active gas well using fracking, 4 private wells with no gas wells located within a 14 km radius, and 5 wells outside of the Barnett Shale with no gas well located within a 60 km radius.

(c) The characteristics of the population of interest to the researchers are the levels of potential contaminants such as arsenic and selenium in the private water wells.

(d) A measure of reliability of the inferences is important because it allows the researchers to determine the degree of confidence they can have in the findings of the study, and to identify any potential sources of error in the study design or measurement.

The sample is a subset of this group that is representative of the population, whereas the population of interest is the entire unit of people you are considering for the study. When using sampling, you typically collect information from the sample before extrapolating the results to the entire population.

Without a measure of reliability, it would be difficult to assess the generalizability of the study's findings to the broader population of private water wells in the Barnett Shale region.

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The value of the investment will be lesser by $26325.30 $25657.08 $668.22 $26325.30 −$25657.08 = $668.22 if the interest is compounded daily rather than annually.

What's composite interest?

The investment compounded annually will be worth $16,640 after 16 years, while the investment compounded periodically with 4 interest periods per year will be worth $16,383.84.

To calculate the investment compounded annually, we can use the formula:

A = P * (1 + r/n)^(nt)

where:

A = the future value of the investment

P = the principal amount (i.e., the initial deposit)

r = the annual interest rate as a decimal

n = the number of times the interest is compounded per year

t = the number of years the money is invested for

So for this example, we would have:

A = $10,000 * (1 + 0.04)^(16) = $16,640

For the investment compounded periodically, the formula is a little different:

A = P * (1 + r/n)^(nt)

where:

A = the future value of the investment

P = the principal amount (i.e., the initial deposit)

r = the annual interest rate as a decimal

n = the number of times the interest is compounded per year

t = the number of years the money is invested for

So for this example, we would have:

A = $10,000 * (1 + 0.04/4)^(4 * 16) = $16,383.84

As you can see, the investment compounded annually is worth slightly more than the investment compounded periodically with 4 interest periods per year.

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The amount of red blood cells contained in 40 cubic millimeter is 1.08×10⁸

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

For example If Mary is paid for a job $50 per day.

How much will she earn in 10 days.

She will earn 50×10 = $ 500 in 10 days

Similarly, 1 cubic millimeter contains 5.2× 10⁶ red blood cells

then, 40 cubic millimeter will contain 40× 5.2×10⁶

= 108×10⁶ = 1.08 × 10⁸ red blood cells

Therefore the amount of red blood cells contain in 40cubic millimeter of blood is 1.08× 10⁸

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The solution is 9x - 36u + 27.

What is the linear equation?

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line. An example of a linear equation is y=mx + b.

We have given

-9(-×+4u-3)

When you multiply a negative number by another negative number, the result is positive.

So, to solve this problem, we can use the distributive property and simplify:

-9(-x + 4u - 3) = -9(-x) + -9(4u) + -9(-3)

= 9x - 36u + 27

Hence, the solution is 9x - 36u + 27.

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Answer: 37.33 % of items cost less than $7.5

Step-by-step explanation:

To find the percentage of items that cost less than $7.5, we would need to know the probability distribution function of the cost per item, as well as the specific parameters of the distribution (such as the shape parameter).

Since the information provided is that the cost per item follows an exponential distribution and the mean cost per item is $10.5,

We can use the cumulative distribution function (CDF) of the exponential distribution which is

F(x) = 1 - e^(-λx)

where x is the cost of the item, λ is the rate parameter and e is the base of the natural logarithm.

We know the mean is $10.5 , and in an exponential distribution the mean and the rate parameter are equal, so we can say λ = 1/10.5

To find the percentage of items that cost less than $7.5, we need to find the probability that X < 7.5, which is the same as finding F(7.5)

So, F(7.5) = 1 - e^(-λ*7.5) = 1 - e^(-0.714)

Then, we need to convert this probability to percentage, so we need to multiply it by 100

F(7.5) = (1 - e^(-0.714)) * 100 = 37.33 %

Therefore, 37.33 % of items cost less than $7.5

Answer:

60% of the total calories is from fat

Step-by-step explanation:

We already have our first value 180 and the second value 108. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1Y =

108

180

By multiplying both numerator and denominator by 100 we will get:

STEP 2Y =

108

180

×

100

100

=

60

100

STEP 3Y = 60

Answer:

below

Step-by-step explanation:

The INdependent variable is 'r'

  'C'  DEPENDS on the value of 'r'...it is the dependent variable

Answer:

16pi =2pi r

pi are cancelled

r=16/2

r=8m

area of circle =pi r²

22/7×64

area=201.15m²

Step-by-step explanation:

circumference of circle is 2pie radius

area of circle is pi r²

Plot the given coordinates of the polygon in the coordinate plane and connect it with a smooth curve.

A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides are constructed from segments of straight lines joined end to end.

A coordinate plane is a two-dimensional plane created by the intersection of two number lines. The x-axis, a horizontal number line, and the y-axis, a vertical number line, are two of these number lines.

Plot the points on the graph according to the given coordinates. Connect all the points. The polygon is triangle.

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Answer:

b. Considering your answer to part (a) and the possible outcomes listed above, how much total revenue (i.e., regular and premium) can be expected from ticket sales?

In November 2018, the frequency tree shows us that 35 students aged 15 years old had part-time work.

That number 35 drops to 23 a year later in 2019. There are two reasons for this:

Case (2) mentioned above only works if the student's birthday is before April 2019.

Answer:

[tex]a=1, b=-3[/tex]

Step-by-step explanation:

[tex](3,1) \implies 3a-b=6 \\ \\ (0,2) \implies -2b=6 \implies b=-3 \\ \\ \therefore 3a-(-3)=6 \implies a=1[/tex]

Answer:

10

Step-by-step explanation:

The given series is a geometric series with the first term a = 8, and the common ratio r = 1/5. To find the sum of the series, we can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

So, in this case, the sum of the series is:

S = 8 / (1 - 1/5) = 8 / (4/5) = 8 * (5/4) = 40/4 = 10.

Therefore, the sum of the series is 10.

Answer:

10

Step-by-step explanation:

A geometric series is the sum of the terms of a geometric sequence.

[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}[/tex]

Given geometric series:

The ellipsis means to "continue in this pattern".  Therefore, find the sum to infinity of the given geometric series.

From inspection of the sequence, the first term is 8:

[tex]\implies a=8[/tex]

To find the common ratio, divide consecutive terms:

[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{1.6}{8}=0.2[/tex]

Substitute the found values of a and r into the geometric series formula:

[tex]\implies S_{\infty}=\dfrac{8}{1-0.2}=\dfrac{8}{0.8}=10[/tex]

Therefore, the sum of the given geometric series is 10.

The resulting image of the triangle ABC after the transformations is given by the image presented at the end of the answer.

The vertices of the original triangle ABC are given as follows:

A(0,2), B(3,2), C (2,7).

First we have the reflection across the line x = 1, which is a vertical line, meaning that:

Hence the vertices after the reflection are given as follows:

A'(2,2), B'(-1,2), C'(0,7).

For example, a coordinate of 0 is one unit left of x = 1, hence the coordinate of the image will be one unit right, at x = 2.

The dilation with a scale factor of 2 centered at the origin means that the coordinates are multiplied by 2, hence:

A''(4,4), B''(-2,4), C''(0,14).

The vertices of the original triangle ABC are given as follows:

A(0,2), B(3,2), C (2,7).

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Answer: 835 yards is equal to 0.764 kilometer.

Step-by-step explanation: One yard is equal to about 0.0009144 kilometer. In order to answer the question, we just have to multiply this by 835. This gives us about 0.763524.

In order to round to three significant figures, we start counting from the first non-zero number within this value - which would be 7. This means that 3 is our third significant value, and because a 5 comes after it we round up to four.

Thus, our final answer is 0.764.

The measure of ∠EFJ is 60°. Option B is the correct option.

What is a linear pair?

When two lines cross at one point, a linear pair of angles are created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as supplementary angles.

∠EFG is a linear pair of angle.

This means ∠E F G = 180°

Given that ∠J F K = 90° and ∠E F J = 2∠K F G.

∠E F G is the sum of angles ∠E F J, ∠J F K  and ∠K F G

∠E F G = ∠E F J + ∠J F K + ∠K F G

Now putting the value of ∠E F G, ∠J F K

180° = ∠E F J +  90° + ∠K F G

Again putting ∠K F G = 1/2∠E F J:

180° = ∠E F J +  90° + 1/2∠E F J

180° -  90° = 3/2 ∠E F J

90° = 3/2 ∠E F J

∠E F J = 90° ×(2/3)

∠E F J = 60°.

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The amount that John gets is given as follows:

$364.

The amount that John gets is obtained applying the proportions in the context of this problem.

The ratio between the amounts that David and John gets is given as follows:

2:8.

Meaning that relative to the total amount, the fractions are given as follows:

The total amount is given as follows:

$455.

Hence the amount that John gets is given as follows:

4/5 x 455 = $364.

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Answer: Your answer is 1/3(b-21), aka the first answer slot

Step-by-step explanation: If we factor 1/3b-7, the common factor is 1/3. by this knowledge, we put 1/3(b-7/1/3), and 7/1/3 = 7x3 which is 21. So we simplify and get the answer
1/3(b-21)

The equation of a line is 3y+2x+59.

When we have given one point and slope we can write the equation as

y-y1=m(x-x1)

here x1=-11,y1=-13,m=-2/3

y+11=-2/3(x+13)

=3y+2x+59

The equation becomes =3y+2x+59.

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Answer:

10

Step-by-step explanation:

Maria has 12 bags of chocolate chips, and each batch of cookies requires 1/2 bag of chocolate chips, and she makes 8 complete batches of cookies. So we can calculate the number of bags of chocolate chips used by:

1/2 * 8 = 4 bags

The number of bags of chocolate chips left after making the cookies is:

12 - 4 = 8 bags

A batch of cupcakes requires 3/4 of a bag of chocolate chips, and Maria has 8 bags of chocolate chips left. So we can calculate the maximum number of complete batches of cupcakes that she can make by:

8 / (3/4) = 8 * (4/3) = 32/3 = 10.67

Maria can make a maximum of 10 complete batches of cupcakes. Since a batch of cupcakes cannot be fractional, it means Maria can't make any more cupcakes after using all the chocolate chips.