It cost Jocelyn $5.60 to send 56 text messages. How much would it cost to send 198 text messages?

The slope-intercept form of a line's equation is y = mx + b, where m is the slope of the line and b is the y-intercept. We can use the given slope and point to solve for the y-intercept and write the equation in slope-intercept form.

Given: Slope (m) = -2 and point (-2, -3)

The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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A rectangle and two semicircles make up this figure. The perimeter of this figure is 423.52m.

The complete length of a shape's boundary is referred to as the perimeter in geometry. The perimeter of a shape is determined by adding the lengths of all of its edges and sides. Linear measurements like centimeters, meters, inches, and feet are used to express its dimensions. The area around a form's edge is known as its perimeter. The perimeter of a shape is always calculated by summing the lengths of its sides.

Perimeter=2*1/2πd+2a

d=68, a=105

Perimeter = 2*1/2*3.14*68+2*105

423.52m

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The solution to the equation given by M * M * M = 729 is 9

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Given the equation:

M.M.M = 729

This gives:

M * M * M = 729

M³ = 729

Taking the cube root of both sides:

∛M³ = ∛729

M = 9

The solution to the equation is 9

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Answer: 3583.37 ≈ 3500

Step-by-step explanation:

The value of f(2) in the given algebraic expression is:  18

The algebraic expression we are given is expressed as:

f(x) = 2x² + 5√(x + 2)

Now, we want to find f(2) which means we want to find the range when the domain is x = 2. Therefore we solve it as:

f(2) = 2(2)² + 5√(2 + 2)

f(2) = (2 * 4) + 5√4

f(2) = 8 + 5√4

f(2) = 8 + (5 * 2)

f(2) = 8 + 10

f(2) = 18

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Complete Question is:

If f(x) = 2(x)^2 + 5 square root (x+2), complete the following statement f(2) = ______

We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D

We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.

If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.

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Answer:

2

Brainliest, please!

Step-by-step explanation:

Slope = y2 - y1 / x2 - x1

y2 = 8 and y1 = 2 -> 8 - 2 = 6

x2 = 7 and x1 = 4 -> 7 - 4 = 3

6/3 = 2

Answer: (1.5,3)

Step-by-step explanation: I just took the quiz and it says that this is the right answer

Answer:

yep. he was a great rapper; one of my favorites. it's been almost 3 years now. may he rest in peace.

Step-by-step explanation:

❤️✨

Answer:

yes

Step-by-step explanation:

if x=5

4(5)=20

15+5=20

hence they are the same

The variables are proportional. The constant of proportionality is 2/7.

Note slope intercept equation is

y = mx + b

where

m = slope

b = y-intercept

According to the computation, each ticket is $37.5 is t = ($175 - $25)/4.

An equation is a formula that uses the equals symbol (=) to denote the equality of two expressions. Multiple languages may have somewhat distinct meanings for the term equation and its cognates.  For instance, in English, an equation is any properly constructed formula that consists of two expressions joined by the equals sign, whereas in French, an equation is any well-formed formula that contains one or more

variables 5.

Given the overall cost of parking and four tickets for a baseball game = $175.00

cost of parking = $25

The price of 4 tickets = $175 - $25

let cost of each ticket is t

t =($175 - $25)/4

cost of each ticket is $37.5

Therefore, the formula for a ticket is

t = ($175 -$25)/4, cost of ticket is $37.5.

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The required closing price of the toy company stock was $8.50, and the closing price of the fast food restaurant stock was $27 more, or $35.50.

Let x be the closing price of the toy company stock on that day. Then the closing price of the fast food restaurant stock was x + $27.

We know that Norman and Suzanne own 44 shares of the fast food restaurant stock and 62 shares of the toy company stock, so the total value of their fast food restaurant stock is:

\(44(x + $27) = $44x + $1188\)

Similarly, the total value of their toy company stock is:

62x

The sum of these two values should be equal to the total value of their stock portfolio, which is $2089.00:

\($44x + 1188 + 62x = 2089.00\)

Simplifying and solving for x, we get:

\($106x = 901.00\)

\(x = 8.50\)

Therefore, the closing price of the toy company stock was $8.50, and the closing price of the fast food restaurant stock was $27 more, or $35.50.

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After evaluating the given integral by changing to polar coordinates we get \(7 e^8-31\)

As per the details shared in the above question it is given that,

\($x^2+y^2=64$\)

\((x, y)=r(\cos \theta, \sin \theta)\)

\(d A=r d r d \theta.\)

Further solving above we get,

\(r^2=64 \\\Rightarrow & r=8 . \\0 \leq r \leq 8 ; & 0 \leq \theta \leq \pi / 2\)

The polar coordinate,

\(\iint_{R} y e^x d A=\int_0^{\frac{\pi}{2}} \int_0^8 r^2 \sin \theta e^{r \cos \theta} d r d \theta\)

\(& =\int_0^8 \int_0^{\frac{\pi}{2}} r^2 \sin \theta e^{r \cos \theta} d \theta ; \\& =\int_0^8\left[-r e^{r \cos \theta}\right]_0^{\pi / 2} d r\)

\(=\int_0^8 r\left[-e^{r \cos \left(\frac{\pi}{2}\right)}+e^\alpha\right] d r .\)

\(=\int_0^8 r e^r d r-\left.\frac{r^2}{2}\right|_0 ^8\)

Now substituting the value we get,

\(7 e^8-31\)

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Note the correct question should be ,

Evaluate the given integral by changing to polar coordinates.

\(\iint_R y e^x d A\) , where R is the region in the first quadrant enclosed by the circle  \(x^2+y^2=64\).

The current population of Algeria is 38 million

From the question, we have the following parameters that can be used in our computation:

P = 38(1 + r)^t

In the initial year, we have

t = 0

Substitute the known values in the above equation, so, we have the following representation

P = 38(1 + r)^0

Evaluate

P = 38

Hence, the population is 38 million

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Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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The graph of the line with slope 7 / 4 and y - intercept - 1 will be show in figure.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The slope = 7 / 4

And, The y - intercept = - 1

Now,

The equation of line with slope 7 / 4 and y - intercept - 1 will be;

⇒ y = mx + b

⇒ y = 7 / 4 x + (-1)

⇒ y = 7/4 x - 1

So, We can draw the equation y = 7/4x - 1 as shown in figure.

Thus, The graph of the line with slope 7 / 4 and y - intercept - 1 will be show in figure.

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Answer:

Its B

Step-by-step explanation:

Linear funtions need 1 x value for every y value so its B

The amount in year 6 is $1282.5.

What is simple interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

rate of interest = 7%

time = 1 year

Amount on first year = $950

First we will calculate simple interest for 5 years, because amount is available for 1 year.

SI =PRT

SI = 950(7/100)1

SI = $332.5

Therefore, the amount after 6 years = 950+332.5

=$1282.5

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The charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation.

To determine the number of miles at which the charges for the two car services, A and B, are equal, we can set up an equation based on the given information.

Let's represent the charge for car service A as y_A and the charge for car service B as y_B. We can set up the following equations:

For car service A: y_A = 0.60x + 300 (in cents)

For car service B: y_B = 0.75x (in cents)

To find the number of miles at which the charges are equal, we set y_A equal to y_B and solve for x:

0.60x + 300 = 0.75x

Subtracting 0.60x from both sides:

300 = 0.15x

Dividing both sides by 0.15:

x = 300 / 0.15

x = 2000

Therefore, the charges will be equal when each car travels 2000 miles. To find the charge for that distance, we substitute x = 2000 into either equation. Let's use the equation for car service A:

y_A = 0.60(2000) + 300

y_A = 1200 + 300

y_A = 1500 cents or $15.00

So, when each car travels 2000 miles, the charges will be equal at $15.00.

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The two triangles are both right triangles and are both formed by the

intersection of the lines AS and BD and are therefore similar.

Response:

(a) Yes, ΔABC is similar to ΔSDC according AA similarity postulate

(b) The distance from the ship to the shore is approximately 282.6 feet

(a) Yes, Gilligan can conclude that ΔABC and ΔSDC are similar by

Angle-Angle, AA, similarity postulate.

Reason:

Angle ∠SCD in ΔSDC and ∠ACB in ΔABC are vertically opposite angles,

and they are therefore congruent by vertical angles theorem.

∠SDC = 90° and ∠ABC = 90° therefore ∠SDC ≅ ∠ABC because all 90°

are congruent.

Therefore, two angles in ΔABC are congruent to two angles in ΔSDC,

therefore, ΔABC is similar to ΔSDC according to AA similarity postulate

(b) The ratio of corresponding sides in similar triangles are equal,

therefore;

\(\dfrac{BC}{DC} = \mathbf{\dfrac{AB}{SD}}\)

Which gives;

\(\dfrac{23}{130} = \dfrac{50}{SD}\)

\(SD = \dfrac{130}{23} \times 50 \approx 282.6\)

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Answer:

1 * 10 ^ -7

Step-by-step explanation:

Answer:

1205.4 would be the answer

Answer: 1,205.4 ? I think. Sorry if it’s wrong

Step-by-step explanation:

Answer:

5n + 30

Step-by-step explanation:

5×n

5×6

5n+30

multiple the 5 by both in the parenthesis

Answer:

5n+30

Step-by-step explanation:

5(n+6)​

Distribute the 5 to each term inside the parentheses

5*n + 5*6

5n+30

The vertex of the graph is a maximum at (-2, 4)

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a quadratic function

From the graph, we can see that the graph has a maximum value

This maximum value represents the vertex of the graph

And it is located at (-2, 4)

So, we have

Maximum = (-2, 4)

Hence, the maximum value of the function is (-2, 4)

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