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Answer:

y=3x+6

Step-by-step explanation:

the equation of a line in

slope-intercept form

is.

xy=mx+b

Answer:

x=6 Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Point A is at (0, –4).

Point B is at (–8, –7).

Step-by-step explanation:

point A is 4 units down : y = –4

Point B is 8 units to the left : x = –8

and 7 units down: y = –7

A : (0, –4)

B : ( –8, –7)

The angle A for the given triangle will be 65°.

What is a triangle's definition?

In geometry, triangles have three sides and three vertices. This two-dimensional figure has three straight sides. A triangle is a three-sided polygon. The total of three triangle angles equals 180°. The triangle is enclosed by only one plane. Triangles are classified into three different categories based on their sides.

Scalene Triangle - The length of each side varies.

Isosceles Triangle - A triangle having two equal-length sides and one that is not.

Equilateral Triangle - A triangle with three sides of equal length.

Now,

let the right angle is at B

then AC=hypotenuse and AB=Base

then cos A=B/H=8/19

cosA=0.4210

∠A=65°

hence,

          The angle A for the given triangle will be 65°.

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Answer:

-8

Step-by-step explanation:

5(6+2)+(6m+8)

30+10+6m+8

48+6m

48=-6m

-8=m

Answer:

48+6m

Step-by-step explanation:

5(6+2)+(6m+8)

=5(8)+(6m+8)

=40+(6m+8)

when there is a+in front of an expression in parentheses the expression remains the same. Therefore don't touch; just remove the parentheses.

=40+6m+8

add 40+8; then finally add 6m to it.

=48+6m

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The equation for the height exists h = 31 sin((8π)t + π/2) + 35.

The model for the height can be emanated from the general formula of the sine function, then

y = A sin(Bt - C) + D

Maximum point = 70 - 4 = 66 at t = 0

Minimum point = 4

Amplitude, A = (66 - 4) ÷ 2 = 31

D = 4 + 31 = 35

At t = 0, we have;

66 = 31 × sin(B × 0 - C) + 35

31 = 31 × sin(- C)

sin(- C) = 1

C = -π/2

1 minute = 60 seconds

1 second = 1 minute/60

15 seconds = (15/60) minutes

Period = 15 seconds = 15/60 minutes

Period = 2π/B

Therefore, 15/60 = 2π/B

1/4 = 2π/B

B = 2π/(1/4) = 8π

y = Height of the function

Let h denote the height of the wristband.

The equation for the height exists h = 31 sin((8π)t + π/2) + 35.

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Answer:

102 cm jsozvkbkvkbdltndlbrpjrjdprnxprnxprt

The mean deviation for the set of data = 2

The given set of data is:

27, 30, 23, 25, 25.

The mean deviation formula for ungrouped data is:

The sample size, n = 5

The mean, µ = (27 + 30 + 23 + 25 + 25)/5

µ = 130/5

µ = 26

The mean deviation is therefore:

The mean deviation for the set of data = 2

If the value of |A| is 48 the possible values for x in the matrix is 4 or -2.

The determinant of the matrix A is as follows:

|A| = 48

Therefore,

48 = (3x × 2x) - (4x × 3)

48 = 6x² - 12x

6x² - 12x - 48 = 0

3x² - 6x - 24 = 0

x² - 2x - 8 = 0

x² + 2x - 4x - 8 = 0

x(x + 2 -4(x + 2) = 0

(x - 4)(x +2) = 0

Therefore,

x = 4 or -2

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0=0

1=0.5

2=1

3=1.5

4=2

PLEaSE MARK BRAINLIEST!

Hope this helps! :>

Answer:

4.2

Step-by-step explanation:

In a 45°45°90° triangle, the ratios of the sides to the hypotenuse is x : x√2

So if x√2 = 6, x = 3√2

3√2 is approximately 4.2

Hope this helps.

The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

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Answer:

16

Step-by-step explanation:

men                  women

 4 (times by 4)        :              5  ( times by 4)

             16              :                                 20

please give me brainiest!!!

Answer:

16 men performers

Step-by-step explanation:

Men : Women = 4 : 5

Let total performers be 'x'

\(\frac{5}{9}*x = 20\\\\x = 20*\frac{9}{5}\\\\x = 4 * 9\\\\x = 36\)

Total performers = 36

Men = 36 - 20 = 16

Answer:

44

Step-by-step explanation:

Let S = strawberry count

Chocolate = 1/4 * 80 = 20

Vanilla = 1/5 * 80 = 16

Total = C + V + S

80 = 20 + 16 + S

80 - 20 - 16 = S = 44

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(6,5) and T(-3,-4)

The distance between them is

\( |ST| = \sqrt{ ({6 + 3})^{2} + ({5 + 4})^{2} } \\ = \sqrt{ {9}^{2} + {9}^{2} } \\ = \sqrt{81 + 81} \\ = \sqrt{162} \\ = 9 \sqrt{2} \: \: \\ = 12.7279...\)

We have the final answer as

Hope this helps you

Step-by-step explanation:

To simplify the expression x^-2y(x^3y^5)^3, we need to perform the operations inside the parentheses first, using the exponent rule that (a^m)^n = a^(mn):

x^-2y(x^3y^5)^3 = x^-2y(x^(33)y^(53)) = x^-2y(x^9y^15)

Next, we can simplify the expression by multiplying the coefficients (numbers) and adding the exponents of x and y, using the product rule that x^mx^n = x^(m+n) and (xy)^m = x^my^m:

x^-2y(x^9y^15) = (1y/x^2)(x^9*y^15) = y^(15+1)x^(9-2) = y^16x^7

Therefore, the simplified form of x^-2y(x^3y^5)^3 is y^16*x^7.

Note that this expression is defined for all values of x and y except for x=0.

The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.

Given:

Total number of seniors = 200

Number of seniors in the band = 32

Number of seniors in the band or on the honor roll = 64

Let's calculate the probability using these values:

Probability = Number of seniors in both categories / Total number of seniors

Probability = 64 / 200

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

Probability = (64 ÷ 8) / (200 ÷ 8)

Probability = 8 / 25

Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

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Answer:

It will take 5.4 hour to paint 720 square feet

Step-by-step explanation:

The question should be like this"Andy painted 400 square  feet in 3 hours. How long  would it take him to paint  720 square feet?"

In 3 hours = 400 square  feet is painted

1 square feet is painted in \(\dfrac{3}{400}\ h\)

To find time to paint 720 square feet multiply the above term by 720 as follows :

\(720\ ft^2=\dfrac{3}{400}\times 720\ h\\\\=5.4\ h\)

So, it will take 5.4 hour to paint 720 square feet.

Answer:

The answer is C.

Step-by-step explanation:

You have to apply Distributive Law :

\(a(m + n) = am + an\)

So for this question :

\((x + 9)(x + 12) \)

\( = x(x) + x(12) + 9(x) + 9(12)\)

\( = {x}^{2} + 12x + 9x + 108\)

\( = {x}^{2} + 21x + 108\)

so the inches well be 3,840 inche

Step-by-step explanation:

Answer:

x2 – x + 4

Step-by-step explanation:

Just took the test on edg

Answer:

Step-by-step explanation:

Givens

t1 = 2

r = 3

n = 10

Formula

tn = a*r^(n -1)         Substitute the givens into the this formula

Solution

t10 = 2 * 3^(10 - 1)

t10 = 2 * 3^9

t10 = 2 * 19683

t10 = 39366

Answer: 39366

Answer:

1)

D) -5<x≤-2

R) 0<y≤3

2)

D) 1≤x≤5

R)2≤y≤4

Step-by-step explanation:

(Only in 7th so might be wrong)

1)

D) -5<x≤-2

R) 0<y≤3

2)

D) 1≤x≤5

R)2≤y≤4

look at the range of where the x and y is at (1-2 included = 1<x≤2)

The range of the given equation is [-1, infinity).

We are given that;

Equation  y= underroot(x+5​)

Now,

The domain of this equation is the set of x values that make the expression under the square root non-negative.

That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).

The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.

Therefore, by the range the answer will be [-1, infinity).

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Answer:

-0.4444444444 or just -0.4

a) The probability that the test comes back negative for all six people is  95.8%,

b)  The probability that the test comes back positive for at least one of the six people is 4.2%.

(a) To find the probability that the test comes back negative for all six people, we can use the fact that the test is 99.3% effective in accurately detecting the absence of the antibody.

Since the test is 99.3% effective, the probability of it coming back negative for each individual who does not have the antibody is 0.993. Therefore, the probability that the test comes back negative for all six people is calculated as follows:

P(negative for all 6) = (0.993)^6 ≈ 0.958

Therefore, the probability that the test comes back negative for all six people is approximately 0.958, or 95.8%.

(b) To find the probability that the test comes back positive for at least one of the six people, we need to consider the probability of a false positive.

The probability of a false positive, which is the probability of the test coming back positive when the antibody is not present, is given as 0.007. Therefore, the probability of the test correctly identifying the absence of the antibody is 1 - 0.007 = 0.993.

The probability that the test comes back positive for at least one person is the complement of the probability that the test comes back negative for all six people. So we can calculate it as follows:

P(positive for at least one person) = 1 - P(negative for all 6) ≈ 1 - 0.958 = 0.042

Therefore, the probability that the test comes back positive for at least one of the six people is approximately 0.042, or 4.2%.

In summary, the probability that the test comes back negative for all six people is approximately 95.8%, while the probability that the test comes back positive for at least one of the six people is approximately 4.2%.

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The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

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

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

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a) The mean of the data-set is of 2.

b) The range of the data-set is of 4 units, which is of around 4.3 MADs.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:

Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)

Mean = 2.

The range is the difference between the largest observation and the smallest, hence:

4 - 0 = 4.

4/0.93 = 4.3 MADs.

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