The sum of first five prime numbers is

Answer:

x=4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2(x/4 + 8) = 18 /:2

x/4 + 8 = 9 /-8

x/4 = 1 /*4

x = 4

Answer:

22 + x = 43

Step-by-step explanation:

let x = vanessa's savings

22 + x = 43

Answer: 400

Step-by-step explanation:

Answer:

Isosceles triangle is the shape which has exactly one line of symmetry.

Answer:

102.4

Step-by-step explanation:

8(19-6.2)

8(12.8)

102.4

Answer:

102.4

Step-by-step explanation:

I looked it up on mathaway there is no explanation

Answer:

3.553 is the answer.

Step-by-step explanation:

Write it down

Answer:

3.553 is bigger

Step-by-step explanation:

If you look at the whole numbers, they are the same (3). Then, you would go to the tenths place, which is 5. Both number's tenths places are 5. Then, you look at the hundredths place. The first has 4 as its hundredths place. The second number has 5 as its hundredths place. 5 is more than 4, so 3.553 is more than 3.544.

Answer:

15.77

Step-by-step explanation:

Jonathan’s answer is reasonable because 2 times 8 is 16, and 16 is close to 15.77.

Step-by-step explanation:

Measure the width, length and height of the shipping box in inches. Multiply the width, length and height of the box to calculate its volume in cubic inches. For example, if the box is 20 inches wide, 24 inches long and 16 inches high, then the volume is (20)(24)(16) = 7,680 cubic

Answer:

The volume of the shipping box would be 36 9/16

Step-by-step explanation:

One method to find the volume of the shipping box would be (l)(w)(h)

one we plug in our dimensions the equation would become 3 1/4 x 3 x 3 3/4

To simplify this we would first

Multiply

3 1/4 x 3 x 3 3/4 = 39/4 x 3 3/4

The bolded parts are the pieces we are working on

3 1/4 as an improper fraction is 13/4

13/4 x 3 = 13 x 3/4 = 39/4

- The second step would be to

Convert the mixed number to an improper fraction.

3 3/4  = ( 3 × 4 ) / 4 + 3/4 = 12 + 3 / 4 = 15/4

Now we have to Multiply

39/4 x 15/4 =  39 x 15 / 4 x 4 = 585/16

Lastly, we have to simplify

585/16 = 36 9/16

Answer:

the answer is `4 w

that is your answer

The probability of rolling a total of 9 is 1/9.

The probability of rolling a total of 10 is 1/12.

The probability of rolling a total of 11 is 1/18.

We have,

To calculate the probabilities of rolling specific totals with a pair of dice, we need to consider all possible combinations of numbers on each die.

Probability of rolling a total of 9:

There are four combinations that can result in a total of 9: (3, 6), (4, 5), (5, 4), and (6, 3).

Since each die has six sides, there are 6 * 6 = 36 equally likely outcomes when rolling two dice.

The probability of rolling a total of 9 is 4/36, which can be simplified to 1/9.

Probability of rolling a total of 10:

There are three combinations that can result in a total of 10: (4, 6), (5, 5), and (6, 4).

The probability of rolling a total of 10 is 3/36, which can be simplified to 1/12.

Probability of rolling a total of 11:

There are two combinations that can result in a total of 11: (5, 6) and (6, 5).

The probability of rolling a total of 11 is 2/36, which can be simplified to 1/18.

Thus,

The probability of rolling a total of 9 is 1/9.

The probability of rolling a total of 10 is 1/12.

The probability of rolling a total of 11 is 1/18.

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Answer: less then

Step-by-step explanation:

Im pretty sure

Answer:

2

Step-by-step explanation:

Well if 2 are red it can only be either

rrrr

or

rrrw

The region common to both the inequality graphs represents the possible solutions for the given set of inequality.

Given is that Mayerlin has {x} dimes and {y} nickels. She has no more than 20 coins worth no less than $1.30 combined

We can write the inequalities as -

x + y < 20                         .... (1)

x/10 + y/20 > 1.30             .... (2)

Refer to the graph of the inequalities attached. The region common to both the inequality graphs represents the possible solutions for the given set of inequality.

Therefore, the region common to both the inequality graphs represents the possible solutions for the given set of inequality.

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Answer:

What is a linear function? A linear function is a function whose graph is a straight line. The rate of change of a linear function is constant. The function shown in the graph below, y = x + 2, is an example of a linear function.

Graph of linear function

Graph of linear function

A linear function has a constant rate of change. The rate of change is the slope of the linear function. In the linear function shown above, the rate of change is 1. For every increase of one in the independent variable, x, there is a corresponding increase of one in the dependent variable, y. This gives a slope of 1/1 = 1.

A linear function is typically given in the form y = mx + b, where m is equal to the slope, or constant rate of change.

Examples of linear functions include:

If a person drives at a constant speed, the relationship between the time spent driving (independent variable) and the distance traveled (dependent variable) will remain constant.

Assuming no change in price, the relationship between the number of pounds of bananas a person buys (independent variable) and the total cost of the bananas (dependent variable) will remain constant.

If a person earns an hourly wage at their job, the relationship between the time spent working (independent variable) and the amount earned (dependent variable) will remain constant.

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Exponential Functions

What is an exponential function? An exponential function is a function that involves exponents and whose graph is a smooth curve. The rate of change in an exponential function is not constant. The functions shown in the graph below, y = 0.5x and y = 2x, are examples of exponential functions.

Graphs of exponential functions

Graphs of exponential functions

An exponential function does not have a constant rate of change. The rate of change in an exponential function is the value of the independent variable, x. As the value of x increases or decreases, the rate of change increases or decreases as well. Rather than a constant change, as in the linear function, there is a percent change.

An exponential function is typically given in the form y = (1 + r)x, where r represents the percent change.

Examples of exponential functions include:

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

The subsets of the set {e, n, t} are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:

\(2^n\)

The set for this problem is given as follows:

{e, n, t}

The cardinality is given as follows:

n = 3.

Hence the number of subsets is given as follows:

2³ = 8.

The subsets are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

In which {} is the empty set.

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Answer:

S(a,0)

Explanation:

Since PQRS is a trapezoid with a right angle, the coordinates of S will be (a, 0) because S has the same x-coordinate of R(a, b) and the same y-coordiante of P(0, 0). Therefore, the answer is (a, 0)

Answer:

b = sqrt(57)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

8^2 + b^2 = 11^2

64+ b^2 = 121

Subtract 64

b^2 = 121-64

b^2 =57

Take the square root of each side

b = sqrt(57)

ANSWER:

Solution: (-1, -1)

STEP-BY-STEP EXPLANATION:

The solution of a system by means of the graphical method is the intersection between the graph of each equation of the corresponding straight line.

Therefore, we graph each equation using a graphing calculator and determine the intercept, like this:

Therefore, the solution of the system is (-1, -1)

If θ=2 rad then the condition when θ=2 rad is that the arc length S is equal to twice the radius r.

In this problem, we are given that when the arc length is equal to the radius (S=r), the angle is 1 radian (θ = 1 rad). Now, we are asked to find the condition when the angle is 2 radians (θ = 2 rad).

If Θ=1 rad when S=r, it means that when the angle subtended by an arc of length r is 1 radian, then the radius of the circle is also r.

Now, if θ=2 rad, we can use the same proportionality to find the arc length S that corresponds to this angle. Since the angle has doubled, we can expect the arc length to double as well. Therefore, we have:

θ/Θ = S/r

2/1 = S/r

S = 2r

Thus, the condition when θ=2 rad is that the arc length S is equal to twice the radius r.

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The graph that represents the given piecewise function has a range of

R: (-∞, 0) ∪ (0,2] ∪ (4, ∞).

A piecewise function is a combination of subfunctions that are defined with different intervals in the domain.

The range of the piecewise function is the union of all the ranges of the subfunctions.

The given piecewise function is

g(x) = x², x < 0

      = 1/2 x, 0 < x ≤ 4

      = x, x > 4

The domain and range for the subfunctions in the given piecewise function are:

for g(x) = x²; Domain is {x < 0} and Range is (-∞, 0)

for g(x) = 1/2 x; Domain is {0 < x ≤ 4} and Range is (0, 2]

for g(x) = x; Domain is {x > 4} and Range is (4, ∞)

Then, the range of the given piecewise function is

Range: (-∞, 0) ∪ (0, 2] ∪ (4, ∞)

Thus, the graph shown in the question is the correct one.

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Answer: c, its da 3rd graph

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

We know that the base sides of the triangular prism are 6cm, 5cm, and

\(x\) cm. We also know that the length of the prism is 20.

To calculate the lateral surface area of the triangular prism, we need to use the following equation:

\((a + b + c)\) x \(length\)

So we can input our values, to get this:

\((6 + 5 + x) 20 = 360\)

Then we solve the equation by the following steps:

\(= > 6+5+x = \frac{360}{20} = 18\\= > 11 + x = 18\\= > x = 7\)

Hope this helps, if you have any further inquiries about this, please reply back. :)

18. With a deposit of $375 in a savings account earning 2.75% interest compounded annually, the interest for the given amounts of time is as follows:

Compound interest operates on a system of computing interest to accumulated interest, unlike the simple interest system.

To find the interest for the given periods, we can use an online finance calculator, which also shows the future value (compounded present value).

We can also manually compute the interest, using the FV table or factor and deducting the present investment from the future value.

N (# of periods) = 1 year

I/Y (Interest per year) = 2.75%

PV (Present Value) = $375

PMT (Periodic Payment) = $0

Results:

FV = $385.31

Total Interest = $10.31 ($375 x 2.75%)

N (# of periods) = 5 years

I/Y (Interest per year) = 2.75%

PV (Present Value) = $375

PMT (Periodic Payment) = $0

Results:

FV = $429.48

Total Interest = $54.48

N (# of periods) = 20 years

I/Y (Interest per year) = 2.75%

PV (Present Value) = $375

PMT (Periodic Payment) = $0

Results:

FV = $645.16

Total Interest = $270.16

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18: You deposit $375 in a savings account that earns 2.75% interest compounded yearly.  Find the interest earned by the account after the given amounts of time.

a) 1 year

b) 5 years

c) 20 years

Answer:

0.55 times 20.1 is equal to 11.055

Step-by-step explanation:

To show work, we can simply multiply 0.55 by 20.1 using long multiplication.

0.55

20.1

0.55

+11.05

11.055

So 0.55 times 20.1 is equal to 11.055

Answer:

\(2 \frac{2}{3} \)

Answer:

Cost for each pound of jelly beans:  $2.75

Cost for each pound of almonds:  $3.75

Step-by-step explanation:

Let J be the cost of one pound of jelly beans.

Let A be the cost of one pound of almonds.

Using the given information, we can create a system of equations.

Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:

\(\implies 3J + 5A = 27\)

Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:

\(\implies 9J + 7A = 51\)

Therefore, the system of equations is:

\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)

To solve the system of equations, multiply the first equation by 3 to create a third equation:

\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)

\(9J+15A=81\)

Subtract the second equation from the third equation to eliminate the J term.

\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)

Solve the equation for A by dividing both sides by 8:

\(\dfrac{8A}{8}=\dfrac{30}{8}\)

\(A=3.75\)

Therefore, the cost of one pound of almonds is $3.75.

Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.

Using the first equation:

\(3J+5(3.75)=27\)

\(3J+18.75=27\)

\(3J+18.75-18/75=27-18.75\)

\(3J=8.25\)

\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)

\(J=2.75\)

Therefore, the cost of one pound of jelly beans is $2.75.

Answer:

3,405

Step-by-step explanation: