two slices of dans famous pizza have 230 calories how many calories would you expect to be in 5 slices of pizza

If a random number generator is used to select an integer from 1 to 100, then the probability of selecting the integer 730 is zero.

Here a random number generator is used to select an integer from 1 to 100.

Therefore the range of the outcome = 1 to 100

Here we have to find the probability of selecting the integer 730

The probability = Number of favorable outcomes / Total number of outcomes.

Here a random number generator is used to select an integer from 1 to 100, but the given number is 730  which is out of range. Therefore the probability is zero

Hence, if a random number generator is used to select an integer from 1 to 100, then the probability of selecting the integer 730 is zero.

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I would loan my money to the one who pays the compound interest.

This is because more money would be generated from the compound interest as it is based on the principal (Amount loaned) and also the interest generated from the loan. Unlike simple interest that is only based on the principal.

we have the following:

Therefore:

8/12 -3/8=16/24-9/24=7/24

You should make like numbers then subtract

If you need to simplify at the end

Given:

Required:

To find the value of f(-8), f(0), f(4), and f(-100)+f(100).

Explanation:

f(-8) :

Clearly -8<0,

So

f(0) :

Clearly 0=0,

f(4) :

Clearly 4>0,

f(-100)+f(100) :

-100<0

100>0

Final Answer:

To calculate which value in Celsius the temperature of 5 Fº equates to, we first need to rewrite the expression isolating the "C" variable on the left side.

We now need to replace F by 5.

The temperature is -15 degrees in Celsius.

Answer

x = 2, and y = 3

Explanation:

given the following linear equation

7x - 6y = -4------------- equation 1

14x + 5y = 43 ---------- equation 2

This equation can be solve simultaneously by using elimination method

Step 1 : eliminate x

To eliminate x, multiply equation 1 by 2 qnd equation 2 by 1

7x * 2 - 6y * 2 = -4 * 2

14x * 1 + 5y * 1 = 43 * 1

14x - 12y = -8 ----------------- equation 3

14x + 5y = 43------------------ equation 4

Substract equation 4 from3

(14x - 14x) - 12 - 5y = -8 - 43

0 - 17y = -51

-17y = -51

Divide both sides by -17

-17y/-17 = -51/-17

y = 51/17

y = 3

To find x, put the value of y into equation 1

7x - 6y = -4

7x - 6(3) = -4

7x - 18 = -4

Collect the like terms

7x = -4 + 18

7x = 14

Divide both sides by 7

7x/7 = 14/7

x = 2

Therefore, x = 2 and y = 3

Let us first understand what are discrete and continuous variables.

Discrete variable:

A discrete variable is countable in a finite amount of time.

For example:

The number of coins in your pocket

The number of trees in the garden

It is not possible to have 2.5 coins or 7.3 trees

Continuous variable:

A continuous variable can take any numeric value.

For example:

The height of the tree

The room temperature

These values can be in decimal like 7.3, 0.23 etc

Now let us come to the question, the distance a person has driven can take any value

for example, it can be 50 miles or 23.4 miles or 120.5 miles

So, decimal values are possible

This means that it must be a continuous graph

The distance a person has driven over time an example of a continuous graph.

Given:

Line equation, y=1+4x

The point, (1,2)

To find the slope intercept form:

The general slope intercept form is, y=mx+b.

First to find m:

From the line equation,

y=4x+1

We have, m=4

Next to find b:

Substitute m=4, and (1,2) in the general intercept form is,

Now, substitute m=4 and b=-2 in the slope intercept form

Thus, the slope intercept form is,

we know that

the geometric mean is the product of all the numbers in a set, with the root of how many numbers there are

so

In this problem we have two numbers

so

the geometric mean is equal to

Compound interest with addition formula:

where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

PMT = Regular contributions (additional money added to investment)

in this example

P = 2500

r = 8% = 0.08

n = 4

t = 5 years

PMT = 2500

solving for A:

Therefore, his investment after 5 years will be

$189,408.29

The currennt annual profit of the company is $ 870,000.

The growth percentage is 25%.

The annual profit of the company in the 6 years can be determined,

Thus, the aanyal profits after 6 years will be $ 3318786.62

we must find b one of the parallel sides before proceeding to find h

from the diagram b = 7cm

On a map. 1 inch equals 14.7 miles

1 inch = 14.7 miles

Two cities are 3.5 inches apart on the map

Distance between two cities = 3.5 inches

So, the distance between two cities is 51.45 miles

Answer : 51.45 miles

to know y -intercept we only need to replace x by 0. And we get

so the y-intercept is 9

The values of f(0), f(2) and f(-2) for the polynomial f(x) = [tex]-x^{3} +7x^{2} -2x+12[/tex] are 12, 28 and 52 respectively.

According to the question,

We have the following information:

f(x) = [tex]-x^{3} +7x^{2} -2x+12[/tex]

Now, to find the value of f(0), we will put 0 in place of x.

f(0) = [tex]-0^{3} +7(0)^{2} -2(0)+12[/tex]

f(0) = 0+7*0-0+12

(When a number has some power then it means that in order to solve this we have expand the expression and multiply the number as many times as the power is given. For example, in the case of 3 as power, we will multiply any number 3 times and in case of 2 as power, we will multiply the given number 2 times.)

f(0) = 0+0-0+12

f(0) = 12

Now, to find the value of f(2), we will put 1 in place of x:

f(2) = [tex]-2^{3} +7(2)^{2} -2(2)+12[/tex]

f(2) = -8+7*4-4+12

f(2) = -8+28-4+12

f(2) = 40 -12

f(2) = 28

Now, to find the value of f(2), we will put -2 in place of x:

f(-2) = [tex]-(-2)^{3} +7(-2)^{2} -2(-2)+12[/tex]

f(-2) = -(-8) + 7*4+4+12

f(-2) = 8+28+4+12

f(-2) = 52

Hence, the value of f(0) is 12, f(2) is 28 and f(-2) is 52.

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7. The figure has line and rotational symmetries. There are 2 lines of symmetry. The angle of symmetry is 180°

8. The figure has no symmetry

By taking the quotient between distance and time, we conclude that her speed is 108.8 miles per hour.

Here we will use the next relation:

speed = distance/time.

Here we know that Mackenzie drove 68 miles in (1 + 3/5) hours, then:

distance = 68 mi

time = (1 + 3/5) hours = (8/5) hours.

Then the speed will be:

speed = 68mi/(8/5) hours. = 68*(8/5) mi/h = 108.8 mi/h

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By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of: D. republicanism.

Federalism simply refers to a form of government in which the federal government and other institutional bodies such as states, towns, smaller units, and provinces share power and authority.

Republicanism can be defined as a form of government that is centered around citizenship in a state and emphasizes their participation for the common good of a geographical area such as states, towns, and other smaller units in a colony.

This ultimately implies that, republicanism involves citizens selecting their representatives (delegates) from each town in a colony, especially through an electoral process such as in Article 8, Fundamental Orders of Connecticut.

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Answer:

republicanism

Step-by-step explanation:

Okay, here we have this:

Considering the provided information we are going to calculate what is the probability that the two candies selected are taffy. So, for this, first we are going to calculate the probability that the first is taffy, and then the probability that the second is taffy. Finally we will multiply these two probabilities to find the total probability.

Remember that the simple probability of an event is equal to favorable events, over possible events.

First is taffy:

At the beginning there are 14 sweets, and 3 are taffy, so there are 3 favorable events and 14 possible, then:

First is taffy=3/14

Second is taffy:

Now, in the bag there are 13 sweets left, and of those 2 are taffy, so now there are 2 favorable events out of 13 possible:

Second is taffy=2/13

The first and second are taffy:

First is taffy*Second is taffy=3/14*2/13

First is taffy*Second is taffy=3/91

First is taffy*Second is taffy=0.033

First is taffy*Second is taffy=3.3%

Finally we obtain that the probability that the two candies selected are taffy is aproximately 0.033 or 3.3%.

Adam had $200

He spent $75 on clothes and $55 on video game

The total money spent by Adam is

The amount left with Adam is

Then his mom gave him $20

The total amount of money Adam have now is

Hence, the answer is $90

In the given figure we can observe a triangle with vertices located at:

(-3,-2)

(-5,-4)

(1,-5).

We need to draw it after a 90° clockwise rotation.

We can apply the rule for 90° clockwise rotation, which is:

Each point of the given figure has to be changed from (x, y) to (y, -x) and then we need to graph the new coordinates.

By applying the rule to the given coordinates we obtain:

Now we have to draw the new coordinates:

Multiplicative property of equality

Distributive property of equality

Associative property

Subtraction property of equality

Addition property of equality

Division property of inequality

we have the equation

y=x^2-6x+2

this equation represents a vertical parabola open upward (because the leading coefficient is positive)

that means

the vertex is a minimum

Convert to vertex form

y=a(x-h)^2+k

where

(h,k) is the vertex

Complete the square

y=(x^2-6x+9)+2-9

y=(x-3)^2-7

therefore

the vertex is (3,-7)

Answer:

Step-by-step explanation:

18098

Given,

We have,

when,

The zeros of the function are x=-3,-3,-3

The volume will be given by:

The volume of the half cylinder on top, plus the volume of the rectangular prims, plus the volume of the half cylinder on the right:

so:

The volume of the half cylinder on top is:

The volume of the half cylinder on the right is:

The volume of the rectangular prism is:

Therefore, the total volume is:

The Greeks limited themselves to using only compass and ruler in their formal geometric constructions.

Answer: Options B and D.