Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 13 miles?

Answer:

y = - 0.6x + 109

Step-by-step explanation:

The equation in linear form is

y = mx + c ← slope- intercept form

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (25, 94) and (x₂, y₂ ) = (55, 76) ← 2 ordered pairs from the table

m = [tex]\frac{76-94}{55-25}[/tex] = [tex]\frac{-18}{30}[/tex] = - 0.6

y = - 0.6x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (45, 82 ) , then

82 = - 27 + c ⇒ c = 82 + 27 = 109

y = - 0.6x + 109

Answer:

y+3=5/3(x+6)

Step-by-step explanation:

Since it is parallel to 5x-3y=9, you need to find the slope of that line because then you would find the slope to your line.

5x-3y=9

5x=9+3y

5x-9=3y

y=5/3x-3, and the slope would be 5/3.

Now you can apply point slope form [tex]y-y_{1}=m(x-x_{1} )[/tex] to get an equation.

y+3=5/3(x+6)

Answer: [tex]\frac{5}{3}[/tex]x + 7

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

1. C) .4

2. B) 2 1/4

3. D) 3 5/8

Step-by-step explanation:

1. The question is asking what fraction (represented in decimal form) did Maria spend. To find this, divide 18/45 because Maria spent $18 of her $45. When you complete this calculation, you get .4

2. When you look at where the line ends, it's at the first quarter line after the 2, meaning that the line is 2 and one quarter or 2 1/4

3. 8 times 3 is 24, which is the closest multiple of 8 to 29. However, since there is still 5 left over (which still needs to be divided by 8) it would be represented by the mxed fraction.

Answer:

1 1/2

Step-by-step explanation:

it takes 15 min to leak 1/8 just multiple the min to 3 hours which then you'll get 1 1/2 gallons that will leak at 3 hours

Answer:

27 boxes of nails, 26 boxes of drywall, 46 rolls of insulation, 30 bags of mortar mix

Step-by-step explanation:

Boxes of nails = 4 + 13 + 10 = 27

Boxes of drywall = 6 + 9 + 11 = 26

Rolls of insulation = 18 + 23 + 5 = 46

Bags of mortar mix = 12 + 4 + 14 = 30

Answer:

can u say what subject is that

(0, 1) is a local maxima and (π, −1) is a local minima of the given function.

The given function is f(x)=cos(x).

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.

Amplitude: 1

Period: 2π

Phase Shift: None

Vertical Shift: None

The coordinates to plot the graph are (0, 1), (π/2, 0), (π, -1),....

To find the x-intercept, substitute in 0 for y and solve for x.

To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (π/2 +πn,0), for any integer n

y-intercept(s): (0,1)

Use the derivative to find the maximum and minimum.

(0, 1) is a local maxima and (π, −1) is a local minima

Therefore, (0, 1) is a local maxima and (π, −1) is a local minima of the given function.

To learn more about the function visit:

https://brainly.com/question/9554035.

#SPJ2

Step-by-step explanation:

Answer is in above picture

Answer:

y = 3/5x+1

Step-by-step explanation:

y intercept - (0,1), so b=1

Slope = rise/run = 3/5, so m = 3/5

Our Answer is y = 3/5x+1

(a) One possibility is 8.45

Rounded to the nearest integer = 8

Rounded to the nearest tenth = 8.5

And rounding this to the nearest integer = 9

(b) The possible numbers are 8.45 to 8.49, inclusively

Answer:

Table is below in explantation

Not proportional

yes, linear

Step-by-step explanation:

We substitute and solve:

TABLE:

X --> Y

0 --> -2 (0-2 = -2)

1 --> -1

2 --> 0

Yes, it is linear, the slope is 1 and is written in slope - intercept form

No, not proportional, the y - intercept is (0, -2) not (0,0)

Step-by-step explanation:

An equilateral triangle means all sides are congruent.

AB≅BC≅AC

All angles are also congruent.

∠ABC≅∠BCA≅∠CAB

AD being perpendicular makes it a bisector of both BC and ∠CAB.

BD≅CD

∠BAD≅∠CAD

Now, there are multiple ways to prove that ΔADB≅ΔADC. All 3 sides and all 3 angles of both triangles are congruent, so you could do it however you want.

1) ASA (one of the possible ASA combinations)

2) HL (again, one of the multiple possible HL combinations)

There are many more but I won't write them all out.

Answer:

1

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

Step-by-step explanation:

-2.72

The steps used to solve this are (for most calculators ) is

log

0.0019

=

If you do not own a scientific calculator, you can use the one that came from windows.

Unfortunately it is slightly different. Make sure you are in scientific mode. Type in 0.0019. Then click on log. Same answer just much longer.

Answer:

B

Step-by-step explanation:

hope this helps

Answer:

The answer I'd 28464835383637533

Answer: 3 cups of flour

Step-by-step explanation:

Answer:

30 5/6

Step-by-step explanation:

185 = 30x6 + 5

Answer:

30 5/6

Step-by-step explanation:

Answer:

Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.

Step-by-step explanation:

An example is attached! The purple-ish on the right would be your solution set.

Answer:

[tex]-5[/tex]

Step-by-step explanation:

Add the two numbers and divide by 2, [tex]-20 + 10 = -10[/tex], [tex]-10 /2 = -5[/tex]

Step-by-step explanation:

Red taxi : y = 2x + 2

Green taxi : y = x + 5

Y are the costs of a ride, X are the miles of a ride.

The y-intercepts are the cost of just getting into a cab.

So, that is $2 for a red cab and $5 for a green cab.

Every mile with a red cab costs $2, while every mile with a green cab costs $1.

Hope this helps :)

Answer:

Ben has 19 marbles

Step-by-step explanation:

First taking that josh and ricks ratio is 1:2, this would set up in an equation as [tex]2j = r[/tex] and with ben having 15 less than rick, his formula would be [tex]r = b + 15[/tex] as well as the total of all the boys marbles together being this [tex]j+r+b=70[/tex]

Now we put all of these equations into a set to answer them.

[tex]2j = r\\ r = b + 15\\j+r+b=70[/tex]

First we solve for j

[tex]2j = r\\ j=\frac{1}{2} r[/tex]

Then substitute j

[tex]j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140[/tex]

Then simplify and multiply by 2 to even out

[tex]r = b + 15\\ -b+r=15\\2b+3r=140[/tex]

Now eliminate the b variable and combine equations

[tex]2b+3r=140\\-2b+2r=30[/tex]

[tex]5r=170[/tex]

Now divide and solve for r

[tex]5r=170\\r=34[/tex]

Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation

[tex]-b+34=15\\b=19[/tex]

Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well

[tex]j=\frac{1}{2}(34)\\j=17[/tex]

And now we know how much everyone has, to check we rewrite all the equations with their respective numbers

[tex]11+34+19=70\\2(17)=34\\34=19+15[/tex]

[tex]70=70\\34=34\\34=34[/tex]

Which means the ordered pairing of (b, j, r) is (19, 17, 34)

Answer:

At a distance of 4 tick marks above 0

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Because you have to multiply 6y by 2 that is 12y and you have to multiply -4 by 2 that is - 8, you put it together and it's 12y - 8.

Answer:

ggggggggggggggggggggg

Using the z-distribution, it is found that since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.

At the null hypothesis, we test if the proportions are the same, that is, their subtraction is 0, hence:

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:

[tex]H_1: p_1 - p_2 \neq 0[/tex]

The proportions and their respective standard errors are given by:

[tex]p_1 = \frac{653}{1046} = 0.6343, s_1 = \sqrt{\frac{0.6343(0.3657)}{1046}} = 0.0149[/tex]

[tex]p_2 = \frac{791}{1327} = 0.5961, s_2 = \sqrt{\frac{0.5961(0.4039)}{1327}} = 0.0135[/tex]

For the distribution of the difference, the mean and the standard error are given by:

[tex]\overline{p} = p_1 - p_2 = 0.6343 - 0.5961 = 0.0382[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0149^2 + 0.0135^2} = 0.0201[/tex]

The test statistic is:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which [tex]p = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.0382 - 0}{0.0201}[/tex]

[tex]z = 1.9[/tex]

The critical value for a two-tailed test, as we are testing if two values are different, with a significance level of 0.01, is of [tex]|z^{\ast}| = 2.576[/tex]

Since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.

A similar problem is given at https://brainly.com/question/25728144

Answer:

Let's solve your equation step-by-step.

c+

3

8

=1

1

3

Step 1: Simplify both sides of the equation.

c+

3

8

=

4

3

Step 2: Subtract 3/8 from both sides.

c+

3

8

−

3

8

=

4

3

−

3

8

c=

23

24

Answer:

c=

23

24

Answer:

B

Step-by-step explanation:

It touches the y-axis (one y - intercept)

It also touches the x-axis( one x-intercept)

-Chetan K

Answer:

350L 375ML

Step-by-step explanation: