Find the product 37.4 x 2.1

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

m = (y2 - y1) / (x2 - x1)

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

Answer:

- 6

Step-by-step explanation:

\(slope = \frac{ - 4 - 2}{0 - ( - 1)} = \frac{ - 6}{0 + 1} = \frac{ - 6}{ 1} = - 6 \\ \)

Answer:

It is 31:5

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

27.5 square yards

Step-by-step explanation:

the Pentagon is a regular Pentagon since it has equal sides. each side will be 4 yards. the area of the Pentagon is 0.5 x perimeter x apothem.

perimeter is 5 sides x 4 yards = 20 yards

apothem = 2/tan(36deg) = 2.75 yards

area = 27.5 yards

Answer:

Regular

4 yards, 4 yards, 4 yards, 4 yards, 4 yards

28

Answer:

A

   The  correct option is B

B

   \(t = 0.6093\)

C

 \(p-value = 0.27116\)

D

The  correct option is  D

Step-by-step explanation:

From the question we are told that

    The  sample size is  \(n = 232\)

    The  number that developed  nausea  is X =  50

    The population proportion is  p  =  0.20  

The  null hypothesis is   \(H_o : p = 0.20\)

The  alternative hypothesis is  \(H_a : p > 0.20\)

Generally the sample proportion is mathematically represented as

     \(\r p = \frac{50}{232}\)

     \(\r p = 0.216\)

Generally the test statistics is mathematically represented as

 =>           \(t = \frac{\r p - p }{ \sqrt{ \frac{p(1- p )}{n} } }\)

=>           \(t = \frac{ 0.216 - 0.20 }{ \sqrt{ \frac{ 0.20 (1- 0.20 )}{ 232} } }\)

=>        \(t = 0.6093\)

The  p-value obtained from the z-table is

       \(p-value = P(Z > 0.6093) = 0.27116\)

  Given that the  \(p-value > \alpha\)  then we fail to reject the null hypothesis

1. The equation of the form y = a • bˣ is y = 81 x (¹/₃)ˣ

2. His stamp should be worth approximately $7,851.47 after 6 years.

3. The equation of the form y = a • bˣ is y = (¹/₁₆) x 2²ˣ ⁺ ⁵

1. One will see that y is decreasing by a factor of 3 as x increases by 1. Therefore, we can write the equation as:

y = 81 x (¹/₃)ˣ

2. The increase in value of the stamp can be calculated using the formula:

V = P(1+r)ᵗ

where V is the future value, P is the present value, r is the annual interest rate as a decimal, and t is the number of years.

Substituting the given values:

V = 4900(1+0.075)⁶

V ≈ $7,851.47

Therefore, the stamp should be worth approximately $7,851.47 after 6 years.

3. One will see that y is increasing by a factor of 2 as x increases by 1. Therefore, we can write the equation as:

y = (1/16) x 2²ˣ ⁺ ⁵

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Answer:

answer is 16/3

Step-by-step explanation:

let the number be x

1/4*x=4/3

x=4/3*4/1

x=16/3

now checking the answer .In place of x put 16/3

1/4*16/3

16/12

4/3

hence 16/3 times 1/4 is 4/3

Answer:

The slope is 2.5

Step-by-step explanation:

y = 2.5x + 5   or

y =   5/2x + 5

When x=0, y = 5

When y=0, x = -2

Answer:

slope  = 5/2

\(y = \frac{5}{2}x + 5\)

Step-by-step explanation:

(x₁ ,y₁) = (-4 , -5)    & (x₂, y₂) = (2 , 10)

\(Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\frac{10-[-5]}{2-[-4]}\\\\=\frac{10+5}{2+4}\\\\=\frac{15}{6}\\\\=\frac{5}{2}\\\\= 2.5\)

m = 5/2 ;  (-4 , -5)

Equation: y - y1 = m(x -x1)

                \(y - [-5] = \frac{5}{2}*(x - [-4])\\\\y + 5 = \frac{5}{2}(x + 4)\\\\y + 5 =\frac{5}{2}x + \frac{5}{2}*4\\\\y + 5 = \frac{5}{2}x + 5*2\\\\y + 5 = \frac{5}{2}x + 10\\\\ y = \frac{5}{2}x + 10 - 5\\\\ y = \frac{5}{2}x + 5\)

In fraction form, the answer is 1/4, which represents the simplified probability of the given event occurring.

To find the probability of picking a prime number and then picking another prime number, we first need to determine the total number of possible outcomes and the number of favorable outcomes.

Given the four numbers: 5, 6, 7, and 8, we can see that there are two prime numbers (5 and 7) and two non-prime numbers (6 and 8).

The total number of possible outcomes is 4 since there are four cards to choose from.

Now, let's consider the favorable outcomes, which are picking a prime number and then picking another prime number.

The probability of picking a prime number on the first draw is 2/4, as there are two prime numbers out of the four total cards.

Since we replace the card before the second draw, the probability of picking a prime number on the second draw is also 2/4.

To find the probability of both events occurring, we multiply the individual probabilities:

(2/4) * (2/4) = 4/16 = 1/4

Therefore, the probability of picking a prime number and then picking another prime number is 1/4.

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Answer:

5(5v+4)=17v+8v+9+9

25v+20=25v+18

25v-25v=18-20

0v=-2

i think soooo

this question is very very irrelevant

Step-by-step explanation:

The expected count of arrivals to the second compartment is 200.

To calculate the expected count of arrivals to the second compartment, we first need to assume that the rats have an equal chance of going to each compartment.

Since there are 5 compartments, the probability of a rat going to any compartment is 1/5.
Next, we multiply the total number of trials (1000) by the probability of going to the second compartment (1/5).
Expected count for compartment #2 = (Total trials) × (Probability of going to compartment #2)
Expected count for compartment #2 = 1000 × (1/5)
Now, we calculate the result:
Expected count for compartment #2 = 1000 × 0.2
Expected count for compartment #2 = 200.

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Answer:

y=-8x+2

Step-by-step explanation:

The reason that is the answer is because the slope-intercept form is y=mx+b where m is the slope and b is the y-intercept so y=mx+b would be y=-8x+2

Answer:

a. 42%

b. 16%

Step-by-step explanation:

a. According to the curve, the bottom 80% of families has about 58% of the income, so the top 20% has about 42%.

b. The bottom 60% of families have about 32% of the income, and the bottom 40% of families have about 16% of the income.  So the third quintile has about 32% − 16% = 16%.

9514 1404 393

Answer:

  4√3 ft ≈ 6.93 ft

Step-by-step explanation:

The ratios of side lengths in a 30-60-90 triangle are 1 : √3 : 2. This means ...

  x/(6 ft) = 2/√3

  x = (6 ft)(2/√3) = (6 ft)(2√3)/3

  x = 4√3 ft

The top pieces are 4√3 ≈ 6.93 ft long.

Answer:

Point (x, y) is at Quadrant III.

Step-by-step explanation:

If x < 0, and y < 0, then the point (x, y) is located at Quadrant III.

The Cartesian plane is divided into four regions called "Quadrants."

Quadrant I: both the x- and y-coordinates are positive.

Quadrant II: x-coordinates are negative, but the y-coordinates are positive.

Quadrant III: both x- and y-coordinates are negative.

Quadrant IV: x-coordinates are positive, but y-coordinates are negative.

Given the description of the point, (x, y) where it states that x < 0 and y < 0 (which means that the point, (x, y) has negative coordinates), therefore located at Quadrant III.

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Answer:

1. The function that gives the lion population size P(t), t years from today is:

P(t) = 325(0.95)^t

2. To find the population in 4 years, we can substitute t=4 in the function:

P(4) = 325(0.95)^4

P(4) = 279.14

So the population will be approximately 279 lions in 4 years.

3. The exponential function for all three years is the same as in part 1:

P(t) = 325(0.95)^t

Nancy can buy maximum 8 video games.

Steps to solve inequality:

The inequality will not change if the coefficient is positive.

The inequality will be the other way around if the coefficient is negative.

If Nancy wants to keep at least $120 in her account and at present, she is having $240

So, she can spend = 240-120= $120

And, one video game price= $15

Let us consider she can buy maximum 'X' games

15×X=$120

X = 8 units

Hence, she can buy a maximum of 8 video games.

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Answer:

about like 4-5

Step-by-step explanation:

its 4 or 5

Answer:

\(\huge\boxed{\sf x = 17}\)

Step-by-step explanation:

Since m is a straight line, its measure is 180 degrees.

So,

2x + 5 + 8x + 5 = 180

2x + 8x + 5 + 5 = 180

10x + 10 = 180

10x = 180 - 10

10x = 170

Divide both sides by 10

x = 17

\(\rule[225]{225}{2}\)

Hope this helped!

From the figure we can say that KM/KJ = (2x + 5)/(8x - 18) = 1/2

8x - 18 = 2(2x + 5) = 4x + 10

4x = 10 + 18 = 28

x = 28/4 = 7

x = 7

MN = 2x + 5 = 2(7) + 5 = 14 + 5 = 19

Answer:

MN = 19

Solution:

Given the expression below

The next step in simplifying the expression with the exponent will be

By applying exponent rule

Hence, the answer is

anywhere you see x, input the value in the brackets.

eg f(-2) = 2(-2)+8

= -4+8

=4

Answer:

if x= -2

then f(x) = 2×(-2)+8

= -4+8

= 4

if x=0

then f(x)=2×0+8

=0+8

=8

if x=5

then f(x)=2×5+8

=10+8

=18

The value of x in degrees will be  x=78.46

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.There are different angles like Cos,Sin,tan,cosec,sec and cot in the trigonometry.

It is given that:

We have the value of CosX=0.2 we will take inverse of the value 0.2 and find the angle X. after taking the cos inverse of the value 0.2 we found out the angle X=78.46

Cos X   =     0.2

X      =    Cos¹ 0.2

X      =     78.46°

Hence the value of x in degrees will be x=78.46

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Answer:

\( {7}^{2} \)

\(7\)

equations

Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

Answer:

answer is 20

Step-by-step explanation:

2^(2) =4

8^(2) =64

2^2 =4

4+64-:4

64-:4=16

16+4=20

Answer & Step-by-step explanation:

On the left:

There are 4 triangles that indicate -x, so this is -4

There are 3 circles that indicate -1, so these are -3.

Insert as an expression:

\(-4x-3\)

On the right:

There are 2 triangles that indicate -x, so this is -2x.

There are 2 circles that indicate -1, so these are -2.

Insert as an expression:

\(-2x-2\)

Combine both expressions into an equation:

\(-4x-3=-2x-2\)

Solve for x. Add 3 to both sides:

\(-4x-3+3=-2x-2+3\\\\-4x=-2x+1\)

Add 2x to both sides:

\(-4x+2x=-2x+2x+1\\\\-2x=1\)

Isolate the variable. Divide both sides by -2:

\(\frac{-2x}{-2} =\frac{1}{-2}\\\\ x=-\frac{1}{2}\)

:Done

Given:

Expression is given

Required:

What is the best estimate for the value of the expression

Explanation:

-3(whole number)

-2.6(1 decimal places)

-2.64(2 decimal places)

Required answer:

Option A

The two new wrestlers must weigh 164 pounds each in order for the median to increase by 3 pounds.

Median is used to identify the central tendency of the data and is calculated by sorting the data in order from smallest to largest and then selecting the middle value.

Since the median weight of the wrestlers increases by 3 pounds, the median of the new data set (with the two new wrestlers) must be 153 pounds.

To calculate the weights of the two new wrestlers, we need to arrange the data set in ascending order first.

When the two new wrestlers are included, the new data set looks like this: 112, 130, 142, 150, 178, 206, x, y.

The median number in this data set is the average of the third and fourth numbers, 150 and 178.

Thus, the equation is written as

(150 + 178) / 2 = 164.

We can then solve this equation to find the weights of the two new wrestlers.

150 + 178 = 328

328 / 2 = 164.

So, the two new wrestlers must weigh 164 pounds each in order for the median to increase by 3 pounds.

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Answer: 14.4

Step-by-step explanation: