Convert 67°C to degrees Fahrenheit.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
5
C=(F-32)
9
F==C+32
5

Answer:

Step-by-step explanation:

Thank you ☺️☺️

its answer is option B

0.001

Answer:

I'm guessing 401 tickets. lol

Number of tickets Alicia sold is equals to 401 .

" Linear equation is defined as the algebraic expression with one or more variables with highest power of the variable equals to one."

According to the question,

x represents the number of tickets Alicia sold

As per the data given,

Number of tickets Jenna and Matt sold together = 282 + 178

                                                                                 = 460 tickets

Substitute the given values in the condition we get linear equation,

   x + 59 = 460

⇒ x = 460 - 59

⇒ x = 401 tickets

Hence, number of tickets Alicia sold is equals to 401 .

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Answer:

b. (-4,6)

Step-by-step explanation:

y = -1/4x + 5

y = -1/4(-4) + 5

y = 1 + 5

y = 6

hope it helps :)

mark brainliest!

The five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.

To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.

Step 1: Find the median (Q2)

When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:

Median (Q2) = (41 + 46)/2 = 43.5

Step 2: Find the lower quartile (Q1)

The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:

Q1 = (32 + 32)/2 = 32

Step 3: Find the upper quartile (Q3)

The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:

Q3 = (50 + 51)/2 = 50.5

Now we have all the information we need to construct the five-number summary and interquartile range:

Minimum: 29

Lower quartile (Q1): 32

Median (Q2): 43.5

Upper quartile (Q3): 50.5

Maximum: 53

Interquartile range (IQR) = Q3 - Q1 = 50.5 - 32 = 18.5

the five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

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Based on the constant first differences and the zero second differences, we can conclude that the given relation is linear.

To determine if the given relation is linear or quadratic, we can examine the finite differences of the y-values.

First differences:

The first differences are calculated by subtracting each consecutive y-value:

6 - 8 = -2

4 - 6 = -2

2 - 4 = -2

0 - 2 = -2

-2 - 0 = -2

-4 - (-2) = -2

Since the first differences are constant (-2), it suggests that the relation could be linear.

Second differences:

The second differences are calculated by taking the difference between consecutive first differences:

-2 - (-2) = 0

-2 - (-2) = 0

-2 - (-2) = 0

-2 - (-2) = 0

The second differences are all zero, indicating that the relation is not quadratic.

In a quadratic relation, the second differences would be constant.

Hence, based on the constant first differences and the zero second differences, we can conclude that the given relation is linear.

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The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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Answer:

  68 texts per day

Step-by-step explanation:

The description of the variables in the equation tells you that you want to find t (texts sent per day) for the given value of 'a' (age in years).

__

Substitute the number (15) for the variable (a) and do the arithmetic:

  t = -1.63a +92.14

  t = -1.63(15) +92.14 = -24.45 +92.14

  t = 67.69

Keiko's trend line estimates a 15-year-old would send about 68 texts per day.

The table can be filled with the following words.

1. Represent - to be an example or symbol of something.

2. Apex -the point (vertex) farthest from the base of a pyramid.

3. Height - the vertical distance from the base to the top of a plane figure or three-dimensional figure.

4. Lateral face - any face (side) of a prism or pyramid that is not a base.

5. Pyramid - a solid object whose base is a polygon, sides are straight and the triangles meet at the top.

6. Volume - the measure of the amount of space occupied by a three-dimensional solid object.

An apex is the highest point that is measured from a base. For many pointed objects, it is usually easy to get the apex by determining the farthest point.

The height of an object is not to be confused with the apex because the height measures the distance from the base to the top of the object in question.

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Answer:

True

Step-by-step explanation:

That is one way to write a proportion, yes, so I say this is True.

The insect measurement that was the most frequent is given as follows:

1 and 1/4 inches.

A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.

Hence, a dot plot shows the number of times that each observation appeared in the data-set.

The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:

1 and 2/8 = 1 and 1/4 inches.

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Answer:

The set D has 5 elements - 3, 6, 9, 12, and 15, all of which are multiples of 3.

Step-by-step explanation:

yes your answer is correct

Answer:

yes

Step-by-step explanation:

Jessica needs another 52.8 cm^3 of material to make the other prism.

For a right triangular prism of base B, height H, and length L, the volume is:

V = (1/2)*B*L*H

Now, we know that the first triangle has a volume of 12.6cm^3, then we can write:

V = 12.6cm^3 = (1/2)*B*L*H

If we dilate the prism with a scale factor of 3, the new dimensions are:

B' = 3B

L' = 3L

H' = 3H

Then the new volume is:

V' = (1/2)*(3B)*(3L)*(3H) = 27*(1/2)*B*L*H

And (1/2)*B*L*H is the original volume, so we can write:

V' = 27*V = 27*(12.6cm^3) = 340.2 cm^3

And she has 300cm^3 and she used 12.6cm^3, so the amount of material that she has left is:

M = 300 cm^3 - 12.6 cm^3 = 287.4 cm^3

Then the amount of material that she needs is:

340.2 cm^3 - 287.4 cm^3 = 52.8 cm^3

So Jessica needs another 52.8 cm^3 of material to make the other prism.

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Answer:

Step-by-step explanation:

Step 1: Divide the volume of the water bottle by 3.14.

Volume / 3.14 = 110cm^3 / 3.14

Step 2: Divide the quotient by the height of the water bottle in cm.

(110cm^3 / 3.14) / 7.8 =

Step 3: The quotient of the two numbers is the radius of the water bottle in cm.

14.064516129 cm

By using compound interest formula, we conclude that Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

Compound interest is a method of calculating interest on a principal amount of money, where the interest earned on the initial principal is added to the principal at the end of each compounding period (usually monthly, quarterly, or annually).

We can use the formula for compound interest to solve this problem. The formula is:

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

Where:

A = the total amount in the account

P = the principal (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

We know the values for A, r, n, and t, so we can solve for P:

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

\(22,099.87 = P(1 + 0.022/2)^{(2*13)\)

\(22,099.87 = P(1.011)^{26\)

22,099.87 = 1.329P

P = 22,099.87 / 1.329

P = 16,637.55

Therefore, Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

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The value of x in the triangle is 7 units.

The triangle has three sides. Let's find the value of x in the triangle as follows:

x + 12  - 15 = 4

Therefore,

x  - 3 = 4

add 3 to both sides of the equation

x  - 3 = 4

x  - 3 + 3 = 4 + 3

x = 7 units

Therefore, the value of x in the triangle is 7 units.

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How to get that answer:

If order mattered, then there would be 8*7*6 = 336 different permutations of sauces. I started with 8 and counted down by 1 until three slots were filled.

That 336 value would be the answer if order mattered; however, it does not matter. For any grouping of three, there are 3*2*1 = 6 ways to order that specific group. This indicates the 336 is too large by a factor of 6.

To fix this, we divide by 6 and we get 336/6 = 56

There are 56 ways to pick the 3 brands from the 8 overall brands to choose from.

Using the exponential function, it is found that:

One week from today, the stock is predicted to close at $65.734

One month from today, the stock is predicted to close at $66.328.

One year from today, the stock is predicted to close at $76.584

The exponential function will be represented as;

y = 30.078(1.003)ˣ

where;

x  represents the number of weeks since the first data point, so the value of x today would be 260.

Thus, using today as a starting point, the function will be;

y(x) = 30.078(1.003)^(x + 260)

One week from now, we have;

y(1) = 30.078(1.003)^(1 + 260)

y(1) = 65.734

One month from now is 4 weeks and so we have;

y(4) = 30.078(1.003)^(4 + 260)

y(4) = 66.328

One year from now is 52 weeks and so we have;

y(4) = 30.078(1.003)^(52 + 260)

y(4) = 76.584

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Answer:

The measure of angle N is 58 degrees (58°).

Step-by-step explanation:

If angle M is a right angle, it means it measures 90 degrees (90°) since a right angle is always 90 degrees.

In a triangle, the sum of the angles is always 180 degrees (180°). So, we can find the measure of angle N by subtracting the measures of angles L and M from 180 degrees.

Angle L is given as 32 degrees (32°) and angle M is 90 degrees (90°).

Angle N = 180° - angle L - angle M

Angle N = 180° - 32° - 90°

Angle N = 58°

Therefore, the measure of angle N is 58 degrees (58°).

Answer:n= 58 degrees

Step-by-step explanation:

so all u do is 90 “right angle” minus 32 which is 58! Hope this helped!

..

Answer:            

The answer is.......    A=240

Using matrices the simultaneous equation is solved to get x = 3 and y = 5

This method required finding determinants in three occasions then dividing

The given equation

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)

the determinant is

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)

3 * 1 - 2 * 1 = 3 - 2 = 1

Solving for x

determinant while replacing x values

\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)

19 * 1 - 2 * 8 = 19 - 16 = 3

solving for x = 3/1 = 3

Solving for y

determinant while replacing y values

\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)

3 * 8 - 19 * 1 = 24 - 19 = 5

solving for y = 5/1 = 5

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Answer:

The child function is \(g(x) = \sqrt[3]{-x+5}\)

Step-by-step explanation:

Parent function:

In this question, the parent function is \(f(x) = \sqrt[3]{x}\)

Translated 5 spaces to the right:

Translating a function 5 units to the right is finding f(x - 5).

In this question:

\(f(x-5) = \sqrt[3]{x-5}\)

Reflecting a function about the x-axis:

Reflecting a function f(x) about the x-axis is finding f(-x). So

\(f(-(x-5)) = \sqrt[3]{-(x-5)}\)

\(f(-x+5) = \sqrt[3]{-x+5}\)

The child function is \(g(x) = \sqrt[3]{-x+5}\)

Answer:

4

Step-by-step explanation:

8x=32

x = 4

Answer:

You are right, it is C. -7/3

Step-by-step explanation:

Rise/run - to get from point (2, 5) to (5, -2), you go down 7 and right 3.

But it seems you already know this :)

Answer:

Step-by-step explanation:

You want the slope, y-intercept, and equation for a line that passes through the points (2, -2) and (8, 1).

The slope formula is used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-2))/(8 -2) = 3/6 = 1/2

The slope-intercept equation can be rearranged to give the y-intercept:

  b = y - mx

  b = 1 -(1/2)(8) = 1 -4 = -3 . . . . . . using (x, y) = (8, 1)

The slope-intercept form equation is ...

  y = mx +b . . . . . . where m is the slope, and b is the y-intercept

Using the found values, the equation is ...

  y = 1/2x -3

a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².

b) The side length that gives the maximum area that the playground can have is x = 30 m.

c) The maximum area that the playground can have is 900 m².

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

120 = 2(x + W)

60 = x + W

W = 60 - x

Therefore, the area of the rectangular playground (in terms of x) is given by this function;

A = LW

A(x) = x(60 - x)

A(x) = 60x - x²

Part b.

For the side length, we would take the first derivative of the area:

A(x) = 60x - x²

A'(x) = dA/dx

A'(x) = 60 - 2x

60 - 2x = 0

x = 60/2

x = 30 m

Part c.

W = 60 - x

W = 60 - 30

W = 30 m.

Therefore, the maximum area is given by;

A = 30 × 30

A = 900 m².

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