john runs 3 miles in 1/2 of an hour at the same pace how many miles will he run in 1 hour

The given expression can be solved as -3/5.

The given expression is  [tex]\sqrt[3]{\frac{-27}{125} }[/tex].

Here, 27 and 125 can be written as

27 = 3×3×3 = 3³

125 = 5×5×5 = 5³

Now, [tex]\sqrt[3]{\frac{-3^3}{5^3} }= ({\frac{-3^3}{5^3})^{\frac{1}{3} }[/tex]

= -3/5

Therefore, the given expression can be solved as -3/5.

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"Your question is incomplete, probably the complete question/missing part is:"

Evaluate: [tex]\sqrt[3]{\frac{-27}{125} }[/tex]

First Part:

The minimum value is -0.75

The maximum value is 0.75

Second Part:

The amplitude is 0.75

Third Part:

An equation for this function is y = 0.75cos(x)

The minimum value of the graph is -0.75 and maximum value is 0.75, amplitude is 0.75, and function for the graph is y = 0.75cosx.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a graph shown in the picture.

From the graph, we can see that:

The minimum value = -0.75

The maximum value = 0.75

The amplitude = 0.75

And the graph of the function:

y = 0.75cosx

Where y ∈ [-0.75, 0.75]

Thus, the minimum value of the graph is -0.75 and maximum value is 0.75, amplitude is 0.75, and function for the graph is y = 0.75cosx.

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Answer:

45

Step-by-step explanation:

90 - 45 = 45

Answer:

y = -2.5x +100

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

We need to solve for y

25x+ 10y =1000

Subtract 25x from each side

25x-25x+10y = -25x +1000

10y = -25x+1000

Divide each side by 10

10y/10 = -25x/10 +1000/10

y = -2.5x +100

Answer:

y = -2.5x + 100

Step-by-step explanation:

25x + 10y = 1,000

10y = -25x + 1000

y = -2.5x + 100

Answer:

64

Step-by-step explanation:

you do 8x2x4

Answer:

The radius of the sphere is 7m

Step-by-step explanation:

Given

Volume of a sphere = 1372π/3 m³

Required

The radius.

The volume of a sphere is calculated using the following formula.

V = 4/3 πr³

Where V = volume of the sphere and r represents it's radius.

By substitution;

1372π/3 = 4/3 πr³

Multiply both sides by 3

1372π = 4πr³

Divide through by 4

343π = πr³

Divide through by π

343 = r³

Take cube root of both sides.

r = 7.

Hence, the radius of the sphere is 7m

Answer:

300 centimeters ( cm)

Step-by-step explanation:

The operation is   "multiply by 100 the numbers of  meters because there are 100 cm in 1 m "

1m=100 cm

3m=3*100 cm=300 cm

There are 100 centimeters in a meter, resulting in 300 centimeters.

The operation needed to convert meters to centimeters is multiplication because there are 100 centimeters in 1 meter. To convert 3 meters to centimeters, you simply multiply 3 meters by the conversion factor of 100 centimeters per meter.

Therefore:

3 meters × 100 centimeters/meter = 300 centimeters

Using this operation and knowing the conversion factor, we find that 3 meters is equal to 300 centimeters.

Answer:

The greatest common factor of 4 and 10 is 2, and the Least common multiple of 4 and 10 is 20

Step-by-step explanation:

Answer:

98.0736

Step-by-step explanation:

The x-intercept of the graph is (0.3, 0).

The y-intercept of the graph is (0, 0.4).

We have,

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

The intercepts are:

The x-intercept is the point of the line when y = 0,

The y-intercept is the point on the line when x = 0.

Now,

Apply the intercepts concept on the given graph.

From the graph,

The point when x = 0 is 0.4.

The point when y = 0 is 0.3.

Thus,

The x-intercept of the graph is (0.3, 0).

The y-intercept of the graph is (0, 0.4).

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Answer:

B

Step-by-step explanation:

Answer:

the answer is the second one

Step-by-step explanation:

Answer:

y = (-1/4)x + 3

Step-by-step explanation:

The slope of our equation is 4, so to find the slope of the perpendicular equation, we have that:

m1 * m2 = -1

Where m1 is the slope of the first equation and m2 is the slope of the perpendicular equation.

So, we have that:

4 * m2 = -1

m2 = -1/4

So the second equation is y = (-1/4)x + b

If the second equation goes through the point (4,2), for x = 4 we have y = 2, then:

2 = (-1/4)*4 + b

2 = -1 + b

b = 3

So the perpendicular equation is:

y = (-1/4)x + 3

Answer:

1.915

Step-by-step explanation:

volume= mass/density

37g/19.32=1.91511387

to four significant digits... 1.915

Answer:

C

Step-by-step explanation:

to find 4, you use the equation [tex]a^{2}+b^{2}=c^{2}[/tex] where the c= hypotenuse, which is the slant of the triangle. Then you width and length can by put as a and b. This gives you [tex]15^{2}+4^{2} = s^{2}[/tex]. Then you solve for s which end up being 15.5.

Answer:

[tex]x=-30;\quad \:I\ne \:0[/tex]

Step-by-step explanation:

[tex]In\cdot \:4+In\left(4x-15\right)=In\left(5x+19\right)[/tex]

[tex]\:4+In\left(4x-15\right):\quad -11nI+4nxI\\In\cdot \:4+In\left(4x-15\right)\\=4nI+nI\left(4x-15\right)\\\\\:In\left(4x-15\right):\quad 4nxI-15nI\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=In,\:b=4x,\:c=15\\=In\cdot \:4x-In\cdot \:15\\=4nxI-15nI\\=In\cdot \:4+4nxI-15nI\\\mathrm{Simplify}\:In\cdot \:4+4nxI-15nI:\quad -11nI+4nxI\\In\cdot \:4+4nxI-15nI\\\mathrm{Group\:like\:terms}\\=4nI-15nI+4nxI\\\mathrm{Add\:similar\:elements:}\:4nI-15nI=-11nI\\=-11nI+4nxI\\[/tex]

[tex]\mathrm{Expand\:}In\left(5x+19\right):\quad 5nxI+19nI\\In\left(5x+19\right)\\=nI\left(5x+19\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=In,\:b=5x,\:c=19\\=In\cdot \:5x+In\cdot \:19\\=5nxI+19nI\\\\-11nI+4nxI=5nxI+19nI\\\\\mathrm{Add\:}11nI\mathrm{\:to\:both\:sides}\\-11nI+4nxI+11nI=5nxI+19nI+11nI\\Simplify\\4nxI=5nxI+30nI\\\mathrm{Subtract\:}5nxI\mathrm{\:from\:both\:sides}\\4nxI-5nxI=5nxI+30nI-5nxI\\\mathrm{Simplify}\\-nxI=30nI\\[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-nI;\quad \:I\ne \:0\\\frac{-nxI}{-nI}=\frac{30nI}{-nI};\quad \:I\ne \:0\\\mathrm{Simplify}\\\frac{-nxI}{-nI}=\frac{30nI}{-nI}\\\mathrm{Simplify\:}\frac{-nxI}{-nI}:\quad x\\\frac{-nxI}{-nI}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{nxI}{nI}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{xI}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=x\\\mathrm{Simplify\:}\frac{30nI}{-nI}:\quad -30\\\mathrm{Apply\:the\:fraction\:rule}:[/tex]

[tex]\quad \frac{a}{-b}=-\frac{a}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{30I}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=-30\\x=-30;\quad \:I\ne \:0[/tex]

Answer:

[tex]29.5-1.671\frac{5.2}{\sqrt{59}}=28.37[/tex]    

[tex]29.5+1.671\frac{5.2}{\sqrt{59}}=30.63[/tex]    

And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

Step-by-step explanation:

Information given

[tex]\bar X = 29.5[/tex] represent the sample mean

[tex]\mu[/tex] population mean  

s= 5.2 represent the sample standard deviation

n=59 represent the sample size  

Confidence interval

The confidence interval for the true mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom are given by:

[tex]df=n-1=59-1=58[/tex]

The Confidence interval is 0.90 or 90%, the significance is [tex]\alpha=0.1[/tex] and [tex]\alpha/2 =0.05[/tex], and the critical value is [tex]t_{\alpha/2}=1.671[/tex]

Now we have everything in order to replace into formula (1):

[tex]29.5-1.671\frac{5.2}{\sqrt{59}}=28.37[/tex]    

[tex]29.5+1.671\frac{5.2}{\sqrt{59}}=30.63[/tex]    

And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

Answer: 2.8

Step-by-step explanation:

Answer:

[tex]2x^2+7x+3[/tex]

Step-by-step explanation:

[tex](x+3)(x-7)+(x+8)(x+3)[/tex]

[tex](x^2-4x-21)+(x^2+11x+24)[/tex]

[tex]x^2-4x-21+x^2+11x+24[/tex]

[tex]2x^2+7x+3[/tex]

Answer:

(2,-1)

Step-by-step explanation:

Multiply first equation by 2:

10x + 2y = 18

Subtract the second equation from this so that the 2y terms cancel:

10x - 3x = 18 - 4

7x = 14

x = 2

Plug into first equation to find y:

5(2) + y = 9

10 + y = 9

y = -1

The answer is (2,-1)

Answer:

AB = 2 root 13

AC = 4 root 5

Step-by-step explanation:

AB = sqrt[(-4-2)² + (3-7)²]

AB = sqrt(36 + 16)

AB = sqrt(52)

AB = 2sqrt(13)

AC = sqrt[(-8-0)² + (7-3)²]

AC = sqrt(64+16)

AC = sqrt(80)

AC = 4sqrt(5)

sqrt: square root

Answer:

x=-1.

Step-by-step explanation:

To solve this, we will need to simplify the equation further by distributing the '-12' with the terms inside the parenthesis.

4+16x-12-24x=?

Now, move the numbers to one side with the variable on the other.

-8x=8

x=-1

Answer:

24

Step-by-step explanation:

click on link for step by step explanation

Answer:

theoretical probability

Answer:

Theoretical Probability

Step-by-step explanation:

The answer is Theoretical Probability

Answer:I go with A,C,E

Step-by-step explanation:

hope this help

Look at the attached picture ⤴

Hope it will help u ....

Answer:

x=9

Step-by-step explanation:

3/4(x+3)=9

3/4x+2 1/4=9

3/4x=6 3/4

x=9

Hope this helped :)

Answer:

9

Step-by-step explanation:

3(x+3) =9/4

3(x+3)=9×4

3(x+3)=36

x+3= 3/36

x+3=12

x=12−3

x=9

Answer:

no positive or negative correlation

Step-by-step explanation:

none looks like |

Positive looks like /

negative looks like \

Answer:

Option A

Step-by-step explanation:

So in other words, an = an-1 + 6 where a1 = 4. Correct on Ed 2020!

Answer:

A

Step-by-step explanation:

Answer:

A) true

Step-by-step explanation:

when you use the distributive property with the equation 4(2x + y + 6) you get 8x + 4y + 24

Answer:

He invested $117,000 at 5% interests and  3*117,000 + 23000 = $374,000 at 6% interests

Step-by-step explanation:

Let's call x to the some money at 5% simple interest the actor invest. Then, he invested 3x + 23000 dollars at 6% simple interest.

At 5% simple interest, after one year he earned the following interests:

I = P*r*t

I = x*0.05

At 6% simple interest, after one year he earned the following interests:

I = (3x + 23000)*0.06 = 0.18x + 1380

The total annual interest earned from the investment is $28,290, then:

0.05x + 0.18x + 1380 = 28290

x = (28290 - 1380)/0.23

x = $117,000