Simplify the expression

Answer:

Should be 9 mph

Step-by-step explanation:

2.25 miles divided by .25 hours will give you a speed measured in miles per hour.

Answer:

It's the third choice:

2/3 j^2/k^4

Step-by-step explanation:

√ [4j^4/9k^8)]

= √(4j^4) / √9k^8

= 2j^2 / 3k^4

= 2/3 j^2/k^4

The simplified form of the algebraic expression is [tex]\frac{23}{10} p+\frac{6}{5} r[/tex] .

An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).

Given expression is of the form:

[tex]\frac{3}{5} (\frac{1}{2}p+2r )+2p[/tex]

Now we will use the distributive property to expand the algebraic expression:

[tex]or, (\frac{3}{5} \times\frac{1}{2}p+\frac{3}{5} \times2r) +2p\\\\or,\frac{3}{10}p+\frac{6}{5} r+2p\\ \\or,\frac{3+20}{10} p+\frac{6}{5} r\\\\or,\frac{23}{10} p+\frac{6}{5} r[/tex]

Hence the simplified algebraic expression is  [tex]\frac{23}{10} p+\frac{6}{5} r[/tex] .

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According to the question, srs is a simple random sample whose size consists of individuals from the population and chosen in such a way that every set of individuals has an equal chance to be sampled.

What is Stratified random samples?

For stratified random samples, initially classify the population into the groups of similar individuals which is called as “strata”. Later choose simple random samples and combine them to form a full sample.

As per question, srs of [tex]200[/tex] of the [tex]25000[/tex] undergraduate students and the srs of [tex]100[/tex] of the [tex]500[/tex] graduate students. This overall sample is a stratified sample.

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Answer: the scale factor is 5

Step-by-step explanation:

5 squares on the dilated shape and for the original shape it’s only 1 and the original shape is always going to be the denominator while the numerator is going to be the shape after it’s dilated so it’s 5/1 which equals 5

So THE ANSWER IS 5

Answer:

y = 5

Step-by-step explanation:

A line with a slope of 0 is a horizontal line parallel to the x- axis with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (- 4, 5 ) with y- coordinate 5 , then

y = 5 ← equation of line

Answer:

I D K if this even helps at all T B H

Step-by-step explanation:

(4h⁴)⁴ / (4h^-8)

remember, multiplying exponents means adding them. exponents of exponents means multiplying them.

and dividing exponents means subtracting them.

also, n^-a = 1/(n^a).

let's look at the numerator (top part) first :

(4h⁴)⁴ = 4^1×4 × h^4×4 = 4⁴×h¹⁶

now, for the denominator, the exponent -8 applies only to h. not to 4.

so,

1/(4h^-8) = h⁸/4

and so, the whole expression is then simplified

4⁴×h¹⁶ × h⁸/4 = 4³ × h²⁴

Answer:

-16

Step-by-step explanation:

Use pemdas:

1. -5 times 4 is -20

2.  -40 divided by -10 is 4

3. -20 plus 4 is -16

The correct option is a) x = negative two fifths. The value of x is obtained by solving it with rules of linear equation in two variable as x = -2/5.

A linear equation in one variable is an equation that has only one solution and is expressed in the form ax+b = 0, where a and b are two integers and x is a variable. 2x+3=8, for example, is a linear equation with a single variable.

Now, as per the given expression;

                                2/3(x -2) = 4x

Multiply both sides of equation by 3.

                                2(x - 2) = 12x

Simplifying;

                                2x - 4  = 12x

Subtract 2x on both sides of the equations.

                                -4 = 12x - 2x

Again Simplifying;

                               -4 = 10x

Divided by 10 on both sides

                                x = -4 / 10

                                x = -2/5

Therefore, the value of x is obtained as x = -2/5.

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The area of triangle ABC when Angle B=120°, AB= 6, BC = 10 is 25.980 square unit.

As per the question statement, we are supposed to find out the area of triangle ABC in which angle B=120°, AB= 6, BC = 10.

Lets find out AC for which we should know about Cosine formula

i.e., [tex]AC^{2} =AB^{2} +BC^{2} -2(AB)(BC)cos(B)\\AC^{2} =6^{2} +10^{2} -2*6*10cos120\\AC^{2}= 36+100-120*(-0.5)\\AC^{2}=196\\AC=\sqrt{196} =14[/tex]

Hence We have measures of all three sides of the triangle ABC.

Now we use the Heron's formula for calculating the area of triangle ABC.

We need semi perimeter i.e., [tex]s=\frac{AB+BC+AC}{2}[/tex]

[tex]s=\frac{30}{2} =15[/tex]

Now Area is given by,

[tex]area=\sqrt{s(s-AB)(s-BC)(s-AC)} \\area=\sqrt{15(15-6)(15-10)(15-14)} \\area=\sqrt{15*9*5*1} \\area=\sqrt{675} \\area = 25.980 unit^{2}[/tex]

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The equation of the perpendicular bisector of the segment with the endpoints located at D(-2 , 4) and E(3 , 5) is y = -5x + 7

A perpendicular bisector of a segment is a line that divides the segment into two equal parts forming right angles at the point of intersection.

To get the perpendicular bisector of a segment, get the point of intersection of the two lines which is the midpoint of the segment.

midpoint (x , y) = [(x1 + x2)/2 , (y1 + y2)/2]

midpoint (x , y) = [(-2 + 3)/2 , (4 + 5)/2]

midpoint (x , y) = (1/2 , 9/2)

Get the slope of the perpendicular bisector of a segment by taking the negative reciprocal of the slope of the segment.

slope of segment = (y2 - y1)/(x2 - x1)

slope of segment = (5 - 4)/(3 - -2)

slope of segment = 1/5

slope of the perpendicular bisector = -5

Solving for the y-intercept, b, plug in the point (1/2 , 9/2) and the slope -5 to the slope-intercept form of the equation, y = mx + b.

y = mx + b

9/2 = -5(1/2) + b

b = 7

Setting up the equation in slope-intercept form, where m = -5 and b = 7.

y = mx + b

y = -5x + 7

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The amount of money raised for 75 attendees will be $1875. The correct option is B.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the money raised for 12 attendees is $300. The money raised for 75 attendees will be calculated as below:-

12 attendees = $300

1 attendees = $300 / 12

75 attendees  =  $300 x 75 / 12

75 attendees  = $1875

Therefore, the amount of money raised for 75 attendees will be $1875. The correct option is B.

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Answer:

0.6

Step-by-step explanation:

Answer: 20%

Step-by-step explanation: If you look at it like 100 then think of 20% of 100.

20% or 2.

The linear equation from the given statement is the N + F+11 = 2F.

According to the statement

We have to write the linear equation.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

David has 11 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them. Write an equation relating and 2F.

Then

The number of shirts left = N

The number of the shirts which are folded = F+11

The total number of shirts = 2F

And then

The linear equation becomes :

N + F+11 = 2F

This the linear equation for the given statement.

So, The linear equation from the given statement is the N + F+11 = 2F.

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Using it's concept, the probability of at least 1 red face upper most is 17/18 = 0.9444 = 94.44%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For each cube, the probability of no red faces is:

Hence the probability of no red faces in anu cube is:

1/6 x 1/2 x 2/3 = 1/18.

Which means that the probability of at least 1 red face is given by:

1 - 1/18 = 17/18 = 0.9444 = 94.44%.

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Answer:Answer:

The measurement of the angle is 60

Step-by-step explanation:

The two blue lines are straight and parallel lines. The sum of the angles on a straight line is 180 degrees. Angle 5 and angle 6 are on a straight line. Therefore

Angle 5 + angle 6 = 180

If angle 5 is 120 degrees, then

Angle 6 = 180 - 120 = 60 degrees.

Answer:

77m

Step-by-step explanation:

Area of rectangle = L x W

7536m² = 98 x W

(Divide both sides by 98 to get W)

W = 7536m ÷ 98m

W = 77m

Answer

a. 40:35

Step-by-step explanation:

8 * 5 is 40 and 7 * 5 is

Answer:

1429.5

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

16/4=4

4*3=12

Hope this helps!

Answer:

6x + 9

3(2x + 3)

please correct me if I'm wrong

Solution:

[tex]y = \frac{1}{2}[/tex]

Process of Solution:

1. Switch sides.

[tex]y-1=-\frac{1}{2}[/tex]

2. Add 1 to both sides.

[tex]y-1+1=-\frac{1}{2} +1[/tex]

3. Simplify.

[tex]y = \frac{1}{2}[/tex]

Hope this helps!

A difference quotient that best approximates the instantaneous rate of change of g at x=2.5 is; -3

We can define the average rate of change of a function g(x) in an interval [a, b] as:

r = [g(b) - g(a)]/(b - a)

Particularly, if we want to find an approximation of the rate of change for a particular value x', we can choose:

a < x' < b

Such that a and b are really close to x'.

Then if we want to find the instantaneous rate of change of g at x = 2.5, we need to find values of a and b really close to 2.5.

Looking at the graph, we can choose:

a = 2

b = 3

(are the two closer ones to 2.5)

Then the rate of change can be written as:

f'(x) = g(3) - g(2)]/(3 - 2)

f'(x) = (1 - 4)/1

f'(x) = -3

Thus, we can conclude that a good approximation of the instantaneous rate of change is -3.

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The probability that the bolt will be inserted in 19 minutes or less is 0.8413.

It should be noted that the probability will be illustrated as:

P(X < x) = P[z < (x - u/sd)]

where

x = number

u = mean

SD = standard deviation

Therefore given the numbers, this will be:

P(x < 19) = P(z < (19 - 15)/4)

= P(z < 4/4) = P(z < 1)

= 0.8413

Therefore, the probability that the bolt will be inserted in 19 minutes or less is 0.8413.

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The mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. The standard deviation of time to insert the bolt is 4.0 minutes and the distribution of time is approximately Normally distributed. For a randomly selected worker, what is the approximate probability the bolt will be inserted in 19 minutes or less?