Jared and Mike are racing
to meet at the park which
is 4 miles away from their
house. Jared runs at a rate
of 1 mile every 10 minutes
and Mike runs at a rate of
0.5 miles every 4 minutes.
Who will get there first?

Answer: 5 units

Step-by-step explanation:

The standard form of equation of circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex] , where (h,k) = center of circle, r= radius.

Given : Center of circle= origin = (0,0) =(h,k)

Point on circle = (3,4)

Put x= 3 , y=4 , h=0 , k=0 , then the equation will become

[tex](3-0)^2+(4-0)^2=r^2\\\\\Rightarrow\ 9+16=r^2\\\\\Rightarrow\ 25=r^2\\\\\Rightarrow\ r=5[/tex]

Hence, the radius is 5 units long.

Answer:

x = 8

Step-by-step explanation:

It can be assumed that the attached figure shows the problem and we need to find the value of x.

According to figure, the corresponding angles are equal such that,

(6x - 11) = 37

6x = 37 +11

6x = 48

x = 8

So, the value of x in this case is 8.

Step-by-step explanation:

Let's use PEMDAS here

P: N/A

E: To transform [tex]5^{x}[/tex] to [tex]5^{3x}[/tex], we put  [tex]5^{x}[/tex] to the power of 3.

M: We multiply 2 to [tex]5^{3x}[/tex], stretching the function by 2

M: We multiply -1 to [tex]2*5^{3x}[/tex], flipping the function vertically over x=0 (this is interchangeable with multiplying 2)

D: N/A

A: We add 8, moving the function to the right by 8

S: N/A

Answer:

(-5) to the power of 2 is 25 and -5 to the power to 2 is -25 because minus in not multiplying by antohrer minus

Step-by-step explanation:

try number 4 I thinks its that one or number 1

Answer:

Area of bed = 17.5 ft²

Step-by-step explanation:

Given:

Length of bed l = [tex]5\frac{1}{4}[/tex] = 21/4 ft

Width of bed b = [tex]3\frac{1}{3}[/tex] = 10/3 ft

Find:

Area of bed

Computation:

Area = l x b

Area of bed = 21/4 x 10/3

Area of bed = 17.5 ft²

Answer:

area = 8.037 m²

Answer:

as below

Step-by-step explanation:

Answer:

Price of each muffin = $1.25

Price of each granola bar = $1.6

Step-by-step explanation:

Group 1:

6 muffins, 12 granola bars

Total money paid = $26.70

Group 2:

8 muffins, 15 granola bars,

Total money paid = $34.00

To find:

Price of each item?

Solution:

Let the price of one muffin = $[tex]x[/tex]

Let the price of one granola bar = $[tex]y[/tex]

As per group 1, the equation can be written as:

[tex]6x+12y=26.70\\\Rightarrow x+2y=4.45 .... (1)[/tex]

As per group 2, the equation can be written as:

[tex]8x+15y = 34[/tex] .... (2)

Let us use elimination method to solve for [tex]x[/tex] and [tex]y[/tex].

Multiplying equation (1) with 8 and subtracting (2) from it:

[tex]16y-15y = 35.6 - 34\\\Rightarrow y = 1.6[/tex]

Using equation (1):

[tex]x+3.2=4.45\\\Rightarrow x = 1.25[/tex]

Therefore, the answer is:

Price of each muffin = $1.6

Price of each granola bar = $1.25

Answer:

um

Step-by-step explanation:

Answer:

are there choices or a picture for this question?

Answer:

k = ½

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

Step-by-step explanation:

Constant of proportionality (k) = y/x

Using a point on the graph, (6, 3),

k = y/x = 3/6 = ½

k = ½

Equation of the line:

Plug in the value of k into [tex] y = kx [/tex] (slope-intercept form of equation for proportional relationship)

Thus:

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

Answer:

step by step as explained below

Step-by-step explanation:

A) y<4x-8 is the shade area below the dotted line of y=4x-8

   y≥-2/5x+5 is the shade area above the solid line y=-2/5x+5

The solution is the dark color shade area

B) point(5,-8) located within the y<4x-8 area while it's not in the solution area of the system.

Answer:

Adult tickets = $8

Children's tickets = $3

Step-by-step explanation:

Set up a system of equations;

x = adult tickets

y = children's tickets

Daryl's situation;

10x + 10y = 110

Rick's situation;

6x + 5y = 63

Hence the system is;

[tex]\left \{ {{10x+10y=110} \atop {6x+5y=63}} \right.[/tex]

To solve by elimination, one has to multiply one of the systems by a number such that when one adds the two systems, one variable gets eliminated. One is then left with an expression that can be solved for the other variable. Finally, one can substitute the value of the other variable back, to find the value of the first variable.

[tex]\left \{ {{10x+10y=110} \atop {6x+5y=63}} \right.[/tex]

Multiply Rick's situation by (-2)

[tex]\left \{ {{10x+10y=110} \atop {-12x-12y= -126}} \right.[/tex]

Add the two equations;

-2x = -16

Inverse operations;

-2x = -16

/-2     /-2

x = 8

Substitute back in;

10x + 1y = 110

10(8) + 10y = 110

Simplify;

80 + 10y = 110

Inverse operations;

80 + 10y =110

-80          -80

10y = 30

/10    /10

y = 3

x = 8

y = 3

The Answer:the answer is D

Step-by-step explanation:

Answer:

16 is the answer ok .........

Step-by-step explanation:

4*4

Answer:

Decay.

Step-by-step explanation:

It is decay because .67 is less than 1.

Answer:

x≥5

Step-by-step explanation:

Answer:

The 2nd one should be the correct answer

answer: the 2nd option. (aka: 2(3x+5)

if : 3x+3x+5+5= 6x+10

THEN: 2(3x+5)

HOW: 2 times 3x.

           2 times 5

           6x+10.

hope i helped! we just passed this subject in my class. Good luck!!

Answer: Thank you so much !! I had the exact one!!

D. n=35 p =0.7

Step-by-step explanation:

The value of the interval (0.4676, 0.9323) is between (0, 1). Then the correct option is D.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The sample size should be greater than 30.

Then

[tex]\mu = p = 0.7\\\\n = 35[/tex]

Then we have the sigma

[tex]\sigma = \sqrt{\dfrac{p(1-p)}{n}}\\\\\sigma = \sqrt{\dfrac{0.7*0.3}{35}}\\\\\sigma = 0.0775[/tex]

Then we have

[tex](\mu - 3 \sigma , \ \mu + 3 \sigma)\\\\(0.7-0.2323, \ 0.7+0.2323)\\\\(0.4676, \ 0.9323)[/tex]

The value of the interval is between (0, 1). Then the correct option is D.

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Hey there!

GUIDE:

MONOMIAL has ONE TERM

BINOMIAL has TWO TERMS

TRINOMIAL has THREE TERMS

POLYNOMIAL has MANY TERMS

Now that we got that information we already found out what your answer should be.

The number 12 is a MONOMIAL because it has ONE term. So therefore, to answer your question. YES 12 is a monomial ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

3

Step-by-step explanation:

the distance from the point of dilation to point C is 3

the distance from the point of dilation to point A is 9

9/3 = 3

hope this helps, pls mark brainliest :D

9514 1404 393

Answer:

  a) a straight line

  b) a hyperbola

Step-by-step explanation:

a) When a = v/r is plotted against v as the independent variable, it will be a straight line through the origin with a slope of 1/r.

__

b) When a = v/r is plotted against r as the independent variable, it will be a hyperbola with a "constant of proportionality" of v. Here, a is inversely proportional to r.

Answer:

[tex]\displaystyle t=-25\log\left(\frac{20}{30}\right)[/tex]

Step-by-step explanation:

Logarithms

The model that predicts the percentage of voters (V) as a function of the number of years (t) is:

[tex]V(t)=100-30\cdot e^{-0.04t}[/tex]

It's required to find in how many years the value of V will be V=80%. The equation to solve is:

[tex]100-30\cdot e^{-0.04t}=80[/tex]

Subtracting 100:

[tex]-30\cdot e^{-0.04t}=80-100=-20[/tex]

Dividing by -30:

[tex]\displaystyle e^{-0.04t}=\frac{20}{30}[/tex]

Applying logs:

[tex]\displaystyle \log( e^{-0.04t})=\log\left(\frac{20}{30}\right)[/tex]

For logs property:

[tex]\displaystyle -0.04t\log(e)=\log\left(\frac{20}{30}\right)[/tex]

log(e)=1. Solving for t:

[tex]\displaystyle t=\frac{\log\left(\frac{20}{30}\right)}{-0.04}[/tex]

Since 0.04=1/25:

[tex]\boxed{\displaystyle t=-25\log\left(\frac{20}{30}\right)}[/tex]

Step-by-step explanation:

6 ◇ 3

= (6² - 3) / 3

= 33 / 3

= 11.

Answer:

5'506 the answer is 5'506 I because I add 2'500 with 6 and I got that answer

The total amount owed when $2500 is borrowed for one year at 6% simple interest is $2650.

Simple interest is the process of finding the amount of interest if we have some principal value of money. Here a specific interest is charged only for the principal amount.

Formula for calculating the total amount in case of Simple Interest is,

A = p (1 + r t)

where, A is the total amount, p is the principal amount, r is the rate of interest and t is the time period.

Here, p = $2500

r = 6% = 6/100 = 0.06

t = 1 year

So the total amount = 2500 [1 + (0.06 × 1)]

                                 = 2500 [1 + 0.06]

                                 = 2500 × 1.06

                                 = 2650

Hence the total money owed is $2650 when $2500 is borrowed for one year at 6% simple interest.

To learn more about Simple Interest, click on the link given below:

https://brainly.com/question/25845758

#SPJ2

Answer:

72

Step-by-step explanation:

Answer:

first write 30% as fraction

30/100 then "of" means multiplication

30/100×240

=72

can i have brainliest if it helped

Step-by-step explanation: