Which equation has a slope of -5/2 and a y-intercept of -2

Answer:

i believe it is 1

Step-by-step explanation:

Answer:

the slope is 1

Step-by-step explanation:

rise/run

1/1 = 1

Answer:

11, the amount of time it'll take for her to run out of money for music lessons

Step-by-step explanation:

THe x intercept is where y=0

to solve this we can just plug in 0 for y and solve for x

we have

0= 385-35x

35x=385

x=11

Answer:

x- intercept is when y = 0

This is the point (11, 0), this is the indication that after 11 months Gina will have spent all money saved.

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

(a) The height after t years is given by

h(t) = 0.6t² + 3t + 11

(b) The shrubs are 38 centimetres tall when they are sold.

The growth rate of the shrubs during the first year of growth can be determined by setting t = 1 in the given differential equation dh/dt = 1.2t + 3. This gives us dh/dt = 1.2(1) + 3 = 4.2 centimeters per year.

Therefore, during the first year of growth, the shrubs will grow at a rate of 4.2 centimeters per year. This rate of growth is expected to increase as the shrubs age and reach the end of the 5-year growth period before they are sold by the nursery.

(a) To find the height after t years, we integrate the growth rate function with respect to t:

∫dh/dt dt = ∫(1.2t + 3) dt

h(t) = 0.6t² + 3t + 11

(b) The shrubs are sold after 5 years, so we plug in t = 5 into the function we found in part (a):

h(5) = 0.6(5)² + 3(5) + 11

= 38 cm

Therefore, the shrubs are 38 centimetres tall when they are sold.

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Answer:

Domain: 0, 1, 2, 3, 4,

Range: 1, 2, 3, 4, 5,

Step-by-step explanation:

Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5,  therefore, the answer is:

Answer: Honeymoon2871

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

I hope that the answer

Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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Answer:

Step-by-step explanation:

Hello!

There are two values of n in the text, I'll use the one that appears in all the questions.

The variable of interest is

X: pollutants found in waterways near large cities. (ppm)

This variable has a normal distribution with parameters μ= 9ppm and σ= 1.5ppm

1) X~N(μ;σ²)

X~N(9;2.25)

2) The distribution of the sample mean is X~N(μ;σ²/n)

σ²/n= 2.25/37= 0.06

X~N(9;0.06)

3) P(X>9.6)

To calculate this probability you have to use the standard normal distribution. Using the population parameters, you can calculate the corresponding Z value:

Z= (X-μ)/σ= (9.6-9)/1.5= 0.4

P(Z>0.4)= 1-P(Z≤0.4)= 1 - 0.65542= 0.34458

The probability of selecting a city at random and finding 9.6ppm pollutants.

4) In this item, instead of calculating the probability of one value of the variable you have to calculate the probability of the sample average taking a determined value. Because of this, you have to work using the distribution of the sample mean, instead of the distribution of the variable.

P(X[bar]>9.6)

Z= (X[bar]-μ)/(σ/√n)= (9.6-9)/√0.06= 2.45

P(Z>2.45)= 1 - P(Z≤2.45)= 1 - 0.99286= 0.00714

5) The assumption of a normal distribution is not necessary for item 4. Since the sample size is large enough (greater than 30) you can apply the central limit theorem and approximate the distribution of the sample mean to normal, regarding the distribution of the original variable.

6)

In this case, you have to work starting with the standard normal distribution and then "translate" the Z values into values of the average amount of pollutants.

The first quartile divides the bottom 25% of the distribution from the top 75%, symbolically:

P(Z≤z₁)= 0.25

z₁= -0.674

z₁= (X[bar]-μ)/(σ/√n)

z₁*(√n/σ)=X[bar]-μ

X[bar]=z₁*(√n/σ)+μ

X[bar]=(-0.674)*(√37/1.5)+9= 6.27ppm

The third quartile divides the bottom 75% of the distribution from the top 25%, symbolically:

P(Z≤z₂)= 0.75

z₂= 0.674

z₂= (X[bar]-μ)/(σ/√n)

z₂*(√n/σ)=X[bar]-μ

X[bar]=z₂*(√n/σ)+μ

X[bar]=(0.674)*(√37/1.5)+9= 11.7.3ppm

IQR= Q₃-Q₁= 11.73-6.27= 5.46ppm

I hope this helps!

Answer:

A - 28 5/4

B - 29 1/4

D - 117/4

Step-by-step explanation:

Step-by-step explanation:

let three no. be x, y, z

y=3x+4

z=2x-6

x+3x+4+2x-6=106

6x=108

x=18

Three numbers are 18, 3 (18)+4, 2 (18)-6

=18,58,30

Answer:

Between 1991 and 2013, the infant mortality rate in the United States declined  from 8.943% to 5.708 %  

Step-by-step explanation:

From the information given:

The number of infant deaths under 1 year in the United States during 1991 = 36,766

The number of live births during 1991 = 4,111,000

\(Infant \ mortality \ rate \ in \ 1991 = \dfrac{Number \ of \ deaths \ under \ 1 \ year}{Total \ number \ of \ live \ births \ in \ 1991} * 1000\)

\(Infant \ mortality \ rate \ in \ 1991 = \dfrac{36766}{4111000} * 1000\)

Infant mortality rate in 1991 = 8.943%

From the data of year 2013 in the United States Record, 23,446 infants died under one year

\(Infant \ mortality \ rate \ in \ 1993= \dfrac{23,466}{4111000} * 1000\)

Infant mortality rate in 1993 = 5.708 %

Between 1991 and 2013, the infant mortality rate in the United States declined  from 8.943% to 5.708 %   which is approximately 3%

Answer:

8.94 (mortality per 1,000 live births)

Step-by-step explanation:

Given;

Number of infant deaths in 1991 = 36,766

Number of live births during 1991 = 4,111,000

The infant mortality rate = Number of infant deaths ÷ Number of live births

The infant mortality rate (per 1,000 live births)

R = Number of infant deaths/Number of live births × 1000

Substituting the given values;

R = 36,766/4,111,000 × 1000

R = 0.00894 × 1000

R = 8.94 (mortality per 1,000 live births)

For 2013;

There's no data given for 2013.

It will follow the same procedure;

The infant mortality rate (per 1,000 live births) in 2013;

R2 = Number of infant deaths in 2013 Nd/Number of live births in 2013 Nb × 1000

R2 = Nd/Nb × 1000

Answer:

D) x=-1, x=-9

Step-by-step explanation:

x=-1, x=-9

Answer:

5/6

Step-by-step explanation:

When one and seventy one hundredth is written in decimal form, it would be 1. 71

A single part of something that has been evenly divided into one hundred parts is referred to as a hundredth in mathematics. The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal.

This means that when given the number one and seventy One Hundredths in words, then the number, " one " would be written before the decimal and the 71 would be 0. 71 as a hundredth figure.

When put together, this becomes:

= 1 + 0. 71

= 1. 71

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The average cost of tickets in Japan and Switzerland are  $17.49 and $13.42 respectively.

It would cost $79.31 to buy three tickets in Japan plus two tickets in Switzerland.

Three tickets in Switzerland plus two tickets in Japan would cost $75.24.

Therefore,

let

x = cost of Japan tickets

y = cost of Switzerland tickets

Hence,

3x + 2y = 79.31

2x + 3y = 75.24

3x + 2y = 79.31

3x + 4.5y = 112.86

2.5y = 33.55

y = 33.55 / 2.5

y = $13.42

3x + 2(13.42) = 79.31

3x = 79.31 - 26.84

3x = 52.47

x = 52.47 / 3

x = $17.49

Therefore, the average cost of tickets in Japan and Switzerland are  $17.49 and $13.42 respectively.

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Answer:

since your in pre-k bud x+y+z = abc :)

Step-by-step explanation:the alphabet ends in xyz so it only makes sense for the answer to be abc

this is totally correct:)

Answer:

p = 6

Step-by-step explanation:

5 + 2/3 (2p - 6) = 9

5 + 4/3p - 4 = 9

1 + 4/3p = 9

4/3p = 8

p = 6

Answer:

p= 6

Step-by-step explanation:

Solve for p:

(2 (2 p - 6))/3 + 5 = 9

Put each term in (2 (2 p - 6))/3 + 5 over the common denominator 3: (2 (2 p - 6))/3 + 5 = 15/3 + (2 (2 p - 6))/3:

(15/3 + (2 (2 p - 6))/3) = 9

15/3 + (2 (2 p - 6))/3 = (2 (2 p - 6) + 15)/3:

((2 (2 p - 6) + 15)/3) = 9

2 (2 p - 6) = 4 p - 12:

((4 p - 12) + 15)/3 = 9

Grouping like terms, 4 p - 12 + 15 = 4 p + (15 - 12):

(4 p + (15 - 12))/3 = 9

15 - 12 = 3:

(4 p + 3)/3 = 9

Multiply both sides of (4 p + 3)/3 = 9 by 3:

(3 (4 p + 3))/3 = 3×9

(3 (4 p + 3))/3 = 3/3×(4 p + 3) = 4 p + 3:

(4 p + 3) = 3×9

3×9 = 27:

4 p + 3 = 27

Subtract 3 from both sides:

4 p + (3 - 3) = 27 - 3

3 - 3 = 0:

4 p = 27 - 3

27 - 3 = 24:

4 p = 24

Divide both sides of 4 p = 24 by 4:

(4 p)/4 = 24/4

4/4 = 1:

p = 24/4

The gcd of 24 and 4 is 4, so 24/4 = (4×6)/(4×1) = 4/4×6 = 6:

Answer: p = 6

Answer:

The area of this figure is 31,29.

Step-by-step explanation:

We have to find also the area of the rectangle, then we will find the area of the circle and divide by 2 because here is a half circle.

area of the rectangle = b x h

area of the rectangle = 6 x 6

area of the rectangle = 36

diameter = 6

r = d : 2

r = 6 : 2

r = 3 ft

area of the circle = π x r²

area of the circle = 3,14 x 3 ft

area of the circle = 9,42 ft

area of half of circle = 9,42 : 2 = 4,71 ft

area of this figure = area of rectangle - area of half of the circle

area of this figure = 36 - 4,71

area of this figure = 31,29

So the area of this figure is 31,29.

I hope this is helpful. :)

Answer:

The probability that one marble drawn at random is not blue is 70%

Answer: I hope this is helpful please mark me brainlist

Step-by-step explanation:

inspection, two numbers whose sum is -1 and whose product is -56 are -8 and 7.

Answer: the answer is 8 and 7.

Answer:

12

Step-by-step explanation:

hope this helps

Answer:

12

Step-by-step explanation:

It's right. I checked a lot.

Answer:

y = -5/2x

Step-by-step explanation:

Perpendicular = opposite sign and reciprocal slope

-5/2x

y = -5/2x

Answer:

D. x\(\geq\)26

Step-by-step explanation:

Its x >_ 26

______________

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

The volume of the rectangular prism is 208cm³

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width

length = 2cm

width = 13 cm

height = 8cm

base area = 13× 2 = 26cm²

Volume of the prism = 26× 8 = 208cm³

Therefore the volume of the rectangular prism is 208cm³.

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Step-by-step explanation:

Total Wages = Number of hours worked x Hourly Wage

\( = 12x\)

Any other charges:

1)Late Delivery Charge : $15

Total Actual Wages = Total Wage - Late Delivery Charge =

\(12x - 15\)

The circumference of a circle with one-third the curvature of a circle of radius 1 is 18.85 units

What is circumference ?

The perimeter of a circle is known as its circumference. It is the length of the circle's whole perimeter. The diameter of a circle and the constant are multiplied to get the circumference of the circle. This measurement of a circle's circumference is necessary for someone to cross a circular park or for a circle-shaped table to have a border. The units of the circumference are the same as the units of length and it is a linear value.

If a circle has a radius of 1,

the curvature is inversely proportional to this

So, the curvature= 1

A circle with a curvature of 1/3 :

radius=3

Thus, the circumference of the circle  =  2 *π * radius

                                                               =  2*π * 3

                                                               =  6π

                                                               ≈ 18.85 units

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