What is the slope of the line that passes through the points (-3,3) and (-3, 13)?
Write your answer in simplest form.

Answer: x = 5

Step-by-step explanation:

4x + 4 + 4x = 7x + 39

-4x - 4x + 7x = 39 - 4

  7x = 35

x= 35 divided by 7 = 5

Hope this helps. Please mark me branliest, it would be appreciated!

Step-by-step explanation:

the formulae to find the perimeter of a rectangle is p = 2(l+w)

where

p= perimeter

L = length

W = width

just add the length and width {given in the question} , and multiply them by 2

answer: = 2(11+4)

= 2 × 15

= 30 m

Answer:

They each get 339 and there is one extra.

Step-by-step explanation:

You would do 2715/ 8 which equals 339.375

Answer:

D; 2 * 3; -4

Step-by-step explanation:

The dimension of the matrix refers to the number of elements in a row multiplied by the number of elements is a column

In a row, we have 2 elements, in a column , we have 3 elements

So the matrix is of 2 * 3 dimension

a21, refers to the element in the matrix that is in the row 2 column 1 and that is -4

Answer:

aaaaaaaaaaaaaaa

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

3/4a>-16

Multiply by the reciprocal of 3/4 on each side to get only a on one side of inequality.

a> -16 x (4/3)

That can be simplified to:

a > -64/3

a > -21 1/3

Step-by-step explanation:

got it right on edge

Answer:

Drusilla

Step-by-step explanation:

the answer is Drusilla

a. The alternative hypothesis is that  mean number of pieces of candy in a bag is less than 20. b. The test statistic is -1.47. c. Since the P-value (0.078) is greater than  level of significance (α = 0.01), we fail to reject the null hypothesis.

(a) The alternative hypothesis is that  mean number of pieces of candy in  bag is less than 20.

\(H0: \mu = 20\\Ha: \mu < 20\)

(b) The test statistic is calculated as:

\(t = (x - \mu) / (s / \sqrt n)\)

\(t = (19.2 - 20) / (3.4 / \sqrt 25) = -1.47\)

(c) Assuming the null hypothesis is true. Since this is a left-tailed testwe need to find  probability of obtaining a t-value less than or equal to -1.47 .

Using a t-distribution table or calculator, we find that the P-value is approximately 0.078.

we fail to reject the null hypothesis.

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--The complete Question is, Suppose a candy company claims that their bags of candy contain on average at least 20 pieces of candy. A sample of 25 bags of candy was taken, and the number of pieces of candy in each bag was recorded. The sample mean was 19.2 pieces of candy with a standard deviation of 3.4 pieces of candy.

Conduct a test at the α=0.01 level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. --

Based on the given information, Mr. Morales needs to buy exactly 1 yard of fabric using more than two remnants. Here are five different ways he could buy exactly 1 yard:

Combination 1: Using a 1/4 yard (four pieces available) and a 3/4 yard (one piece available) remnant. This adds up to exactly 1 yard.
Combination 2: Using a 1/2 yard (two pieces available) and a 1/2 yard (two pieces available) remnant. This also adds up to exactly 1 yard.
Combination 3: Using a 1/2 yard (two pieces available) and a 3/8 yard (one piece available) remnant, along with a 1/8 yard from another remnant. This totals 1 yard.
Combination 4: Using a 5/8 yard (one piece available) and a 3/8 yard (one piece available) remnant. This sums up to exactly 1 yard.
Combination 5: Using a 3/4 yard (one piece available) and a 1/4 yard (four pieces available) remnant. This also adds up to exactly 1 yard.

In conclusion, Mr. Morales can buy exactly 1 yard of fabric using different combinations of the available remnants.

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For the given ratio of ingredients 3/14 of Alex's drink is made from blackcurrants.

Comparing two numbers or values using ratios, which are often stated as fractions or colons. In mathematics, ratios are used to represent connections between various objects or numbers, such as the ratio of a rectangle's length to breadth or the proportion of boys to girls in a class. Ratios can be sped up or stated in a variety of ways, such decimals or percentages.

The given ratio for blackcurrants to raspberries is 2:5.

The total ratio is:

2 + 5 = 7

Hence, the fraction of the puree made from blackcurrants is = 2/7.

Now, ratio of fruit puree to milk is 3:1 = 3 + 1 = 4.

Hence, the fraction of the milkshake made from fruit puree is = 3/4.

For blackcurrants we have:

(2/7) * (3/4) = 6/28 = 3/14

Hence, for the given ratio of ingredients 3/14 of Alex's drink is made from blackcurrants.

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Answer:

32π cm^3.

Step-by-step explanation:

The volume of a cone is 1/3 of the volume of a cylinder with the same base area and height.

So the empty space = 2/3 * 48π

= 32π cm^3.

If a local park is open for biking every 12 day open for paddling every 8 day and if today the park is open for both options, then the next date when the park will be open will be on the 24th day. So Hana should pick 24th day from today next.

Every 12 day the local park is open its path for biking and every 8 day they open their lake or paddling. That is in every multiple of 12 days the biking option is available and every multiple of 8 days the paddling option is available.

If today both the biking and paddling option are open, then the next day where both options will be open can be determined by calculating the least common multiple of 12 and 8.

12 = 2×2×3

8 = 2×2×2

LCM (12, 8) = 2×2×2×3

LCM(12, 8) = 24

LCM of 12 and 8 is 24. So 24 days from today, the park will be open for both options.

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there is a function on the interval [-1,1] that does not have an absolute maximum value and an absolute minimum value is False.

By the Extreme Value Theorem, if a function f is continuous on a closed interval [a,b], then it has both an absolute maximum value and an absolute minimum value on that interval.

since the given interval [-1,1] is a closed interval and any function defined on it is continuous, it must have an absolute maximum value and an absolute minimum value.

what is function?

In mathematics, a function is a rule or a relation that maps each element from one set, called the domain, to exactly one element in another set, called the range. A function is often represented as an equation or a graph, and is commonly denoted by the symbol f(x), where x is an element of the domain and f(x) is the corresponding output or value in the range.

Functions are used to model relationships between variables, describe patterns and behaviors in various mathematical and scientific contexts, and provide a powerful tool for solving problems and making predictions. Some common types of functions include linear, quadratic, exponential, trigonometric, and logarithmic functions, each with their own unique properties and characteristics.

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Answer:

Hi! The correct answer is x=6!

Step-by-step explanation:

~Isolate the variable by dividing each side by factors that don't contain the variable~

The collecting area of a telescope is proportional to the square of its diameter. This means that if the diameter of one telescope is two times that of another, its collecting area will be four times larger.

In mathematical terms, the collecting area of a telescope is given by the formula A = πr^2, where A is the collecting area and r is the radius of the telescope's aperture. Since the diameter of a telescope is twice its radius, we can rewrite this formula as A = π(d/2)^2, where d is the diameter of the telescope.

If the diameter of one telescope is two times that of another, then the collecting area of the larger telescope will be A = π(2d/2)^2 = 4π(d/2)^2 = 4A, where A is the collecting area of the smaller telescope.

Therefore, the collecting area of the larger telescope is four times larger than that of the smaller telescope.

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The number of students who were wearing spirit wear at the assembly is = 120.

As given in Question that 3 out of 10 students were wearing spirit were.

if we have these type of Question then we will find the fraction part for 1 student as given 3 out of 10 then  the fraction part for 1 will be = 3/10 = 0.3

for 1 student there  is 0.3 fraction of students has wear spirit wear

so for 400 students were at the assembly

for 1 fraction is 0.3

for 400 = 400*(0.3 )= 120

Here 120 students were wear spirit wear in assembly

as like type we can solve for any number of students who were in assembly . like if there is 500 student the we can do like 500*.03 = 150 students.

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Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

The following to help her make her recommendations.

\(\mu\) = 25 min

\(\sigma=\)  13 min

n= 20.

\(\mu_{\bar{x}}=\mu\) = 25 min

An indicator of how much a group of numbers vary or are dispersed is the standard deviation. When the standard deviation is low, the values tend to fall within a narrow range of the set's mean, but when it is large, the values tend to deviate from that mean more.

The random variable X should stand in for how long it takes for a specific brand of ibuprofen to start working.

(a)

A certain brand of ibuprofen typically starts acting after 25 minutes.

Which is. \(\mu\) = 25 min

(b)

A specific brand of ibuprofen has a 13-minute standard variation for when it begins to work.

Which is. \(\sigma=\) 13 min

(c)

A pharmacist has chosen a 20-piece sample.

Which is. n= 20.

(d)

The sample means' mean is:

\(\mu_{\bar{x}}=\mu\) = 25 min

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I understand that the question you are looking for is:

The average time it takes a certain brand of ibuprofen to start working is 25 minutes, with a standard deviation of 13 minutes, distributed normally. A pharmacist randomly samples 20 pills from this brand, because she is researching different brands in order to find the quickest acting ibuprofen to recommend to her customers. Identify the following to help her make her recommendations, rounding to the nearest hundredth if necessary:

a. mu = ______ minute

b. sigma = ______ minute

c. n = ______

d. mu-x = _______ minute

Answer:

x = \(\frac{20}{7}\)

Step-by-step explanation:

\(\frac{3}{4}\) x - 5= \(\frac{1}{2}\) x + 2x - 10

multiply through by 4 ( the LCM of 4 and 2 ) to clear the fractions

3x - 20 = 2x + 8x - 40

3x - 20 = 10x - 40 ( subtract 10x from both sides )

- 7x - 20 = - 40 ( add 20 to both sides )

- 7x = - 20 ( divide both sides by - 7 )

x = \(\frac{-20}{-7}\) = \(\frac{20}{7}\)

Answer:

\(x=\frac{20}{7}\)

Step-by-step explanation:

Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.

\(\frac{1}{2}x+2x-10=\frac{3}{4}x-5\)

Simplify the left side of the equation by combing \(\frac{1}{2}\) and \(x\).

\(\frac{x}{2}+2x-10=\frac{3}{4}x-5\)

To write \(2x\) as a fraction with a common denominator, multiply by \(\frac{2}{2}\).

\(\frac{x}{2}+2x*\frac{2}{2} -10=\frac{3}{4}x-5\)

Simplify terms by combining \(2x\) and \(\frac{2}{2}\). Combine the numerators over the common denominator.

\(\frac{x+2x*2}{2} -10=\frac{3}{4}x-5\)

Raise x to the power of 1.

\(\frac{x^1+2x*2}{2} -10=\frac{3}{4}x-5\)

Factor \(x\) out of \(x^1\).

\(\frac{x*1+2x*2}{2} -10=\frac{3}{4}x-5\)

Factor \(x\) out of \(x+2x*2\).

\(\frac{x*1+x(2*2)}{2} -10=\frac{3}{4}x-5\)

Factor \(x\) out of \(x*1+x(2*2)\)

\(\frac{x(1+2*2)}{2} -10=\frac{3}{4}x-5\)

Multiply 2 by 2.

\(\frac{x(1+4)}{2} -10=\frac{3}{4}x-5\)

Add 1 and 4.

\(\frac{5x}{2} -10=\frac{3}{4}x-5\)

Combine \(\frac{3}{4}\) and \(x\).

\(\frac{5x}{2} -10=\frac{3x}{4}-5\)

Move all terms containing \(x\) to the left side of the equation.

\(\frac{7x}{4}-10=-5\)

Move all terms not containing \(x\) to the right side of the equation.

\(\frac{7x}{4}=5\)

Multiply both sides of the equation by \(\frac{4}{7}\)

\(\frac{7x}{4}*\frac{4}{7} =5*\frac{4}{7}\)

Simplify both sides of the equation.

\(x=\frac{20}{7}\)

Answer:

\(\large \boldsymbol {} 6x^2 -5x-14 =0 \\\\ D=25+14\cdot 4\cdot 6 =361=19^2 \\\\ x_1= \dfrac{5+19}{12} =2 \\\\\\ x_2 =\dfrac{5-19}{12} =-\dfrac{7}{6} \\\\ and \ \ we \ \ \ know \ \ that \\\\\ 6x^2 -5x-14 =6 (x-x_1) ( x- x_ 2) = 6 ( x-(-\frac{7}{6} ))\boldsymbol { ( x-2 ) } \\\\ as \ we \ can \ see \ , \ the \ \ expansion \ is \\\\\ x-2 ; therefore \ \ , \ \ the \ \ answer \ \ is \ \ yes\)

Answer: Yes: divisible

Step-by-step explanation:

\(P(x)=6x^2-5x-14\\\\P(2)=6*2^2-5*2-14=24-10-14=0\\\\P(x)\ is\ exactly\ divisible\ by\ x-2\\\)

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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The number of applicants that were not accepted are calculated to be 1260.

The number of applicants that were not accepted can be determined as follows;

Since 2 out of every 9 applicants are accepted; therefore the total number of applicants out of which 360 applicants were accepted can be calculated as follows;

360 × 9 / 2 = 3240 / 2 = 1620

Therefore the total number of applicants is calculated to be 1620, out of these 1620 applicants, 360 were accepted therefore the number of applicants that were not accepted can be determined by subtraction.

The number of applicants that were not accepted can be determined by subtracting the accepted applicants from the total number of applicants as follows;

Applicants not accepted = 1620 - 360

Applicants not accepted = 1260

Therefore 1260 applicants were not accepted by the program.

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Surface area , Lateral area and volume of triangular prism area 262.25 square in, 231 square in and 156.25 cubic in respectively.

With two triangular bases and three rectangular sides, a triangular prism is a kind of polyhedron. Alternatively, because it has five faces overall, it may be thought of as a pentahedron in which the bases' edges and vertices are connected by three rectangular sides.

Given, base (b) =5 in ,

the height of the triangle (h) = 6.25 in

length of a prism (l) = 12 in

and the hypotenuse of the right triangle = 8 in

The surface area of a right triangular prism = b×h + (S1 + S2 + h)L

On substituting the values, we get

SA = (5 × 6.25) + [(5 + 6.25 + 8) × 12]

⇒ SA = 60 + (30 × 11)

⇒ SA =262.25 square in

Therefore, the total surface area of a right triangular prism is 262.25 square in.

Lateral  Area = ( S1 + S2 + S3 ) × l

On substituting the values, we get

LA=(5+6.25+8)×12

LA=(19.25)×12

LA=231 square in

Therefore, the lateral surface area of a right triangular prism is 231 square in.

the base area = (1/2) × (b×h) = (1/2) × (5 ×6.25) =15.625 square in

The length of the prism is, L = 12 in

Using the volume of the triangular prism formula,

The volume of the given triangular prism = base area × length of the prism = 15.625 ×10=156.25 cubic in

Hence, The volume of the given triangular prism is 156.25 cubic in.

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The integer values of x in the interval 2 ≤ x ≤ 7 in x < 3 is 2

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

-x + 8 > 5

The above expression is an inequality expression

So, we have

-x + 8 > 5

Evaluate the like terms

So, we have

-x > -3

Divide both sides by -1

x < 3

The integer values of x in the interval 2≤x≤7 in x < 3 is 2

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Answer:

C

Step-by-step explanation:

The another number is divider to pi 22/7

The another number is divider to pi 22/7