The table lists selected values of Sam's walking speed, in kilometers per hour (km/h), and his corresponding
pulse, in beats per minute (bpm). There is a linear relationship between Sam's speed, x, and his pulse, f(x).
Which of the following equations describes f(x)?

Answer:

Step-by-step explanation:

3x+2

Answer:

answer is 82 feet

Step-by-step explanation:

perimeter is sun of all sides = 20 +9 +13+ 7 +12 + 21 = 82 feet

hope this will help you ...

Answer:

Its the upper limit and lower limit of the class

Answer:

B) △DEF ~ △GHI

E) △JKL ~ △ABC

Step-by-step explanation:

i just did the assignment

The  pairs of triangles are similar

△DEF ~ △GHI and △JKL ~ △ABC.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Given:

AC = 14

BC = 20

DF = 8

FE= 10

HI = 15

IG = 12

KL = 10

LJ = 7

As, In Right Triangle we can use Pythagoras theorem

AB = √14²+ 20² = 24.41

DE= √8²+10²= 12.8

HG= √15²+ 12² = 19.2

KJ= √10² + 7² = 12.2

Then, from the ratio of Corresponding sides we get

△DEF ~ △GHI and △JKL ~ △ABC.

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Answer:

I think that it would be -4.5

Step-by-step explanation:

Have a great day!

Answer:

-4.5

Step-by-step explanation:

yeahhhhhhh

Answer:

117

Step-by-step explanation: 143\11=13

then multiply 13 by 9 and that equals 117

Answer:

143÷11=13 so you take that as how much money he makes an hour and multiply that with 9 which 13×9=117

The reciprocal of [tex]3\frac{1}{3}[/tex] as a fraction is [tex]\frac{3}{10}[/tex].

Given that,

Based on the above information, the calculation is as follows:

[tex]= 3\frac{1}{3}\\\\= \frac{10}{3}\\\\= \frac{3}{10}[/tex]

Therefore we can conclude that the reciprocal of [tex]3\frac{1}{3}[/tex] as a fraction is [tex]\frac{3}{10}[/tex].

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Answer:

[tex]x^2-x-12=(x-4)(x+3)[/tex]

Step-by-step explanation:

Factoring a Trinomial

A trinomial is expressed in the form

[tex]ax^2+bx+c[/tex]

Where a,b, and c are real constants.

Some trinomials can be factored as the product of binomials with real coefficients, while others cannot.

If possible, factoring can be done in several ways:

Each method is most likely applicable under certain circumstances. When the polynomial has a leading coefficient of a=1, the sum-product pattern is the fastest and easiest option.

We have the polynomial

[tex]x^2-x-12[/tex]

Here: a=1, b=-1, c=-12

The sum-product method needs us to find two numbers which sum is -1 and product is -12. Those numbers can be found by inspection by combining two divisors of 12, say 1 and 12, 2 and 6, or 3 and 4.

Only one of those pairs can be combined to produce a sum or subtraction equal to -1: Those numbers are -4 and 3. Thus the factorization is:

[tex]\mathbf{x^2-x-12=(x-4)(x+3)}[/tex]

Answer:

m, p

Step-by-step explanation:

Answer:

Jaime is _48_years old, and Savannah is _32_ years old.

Step-by-step explanation:

Jaime is 16 years older than Savannah

Ten years ago, the sum of ages = 60.

(60-16)=22

Ten years ago, Jaime=22+16=38y but now Jaime is 48 (38+10)

Ten years ago, Savannah = 22y but now Savannah is 32y (22+10)

hope this helps

Answer:

X = 10/(y-4)

Step-by-step explanation:

4X(y-4) = 40

X(y-4) = 10

X = 10/(y-4)

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

3000

Answer:

16 inches

Step-by-step explanation:

you would do 24-8 and get 16

Answer:

the answer is 0.375

Step-by-step explanation:

hope this helps

Answer:

3060 ducks

Step-by-step explanation:

There are 2 possibilities here. We can plug in 15 for n since 2025 is 15 years after 2010, or we can graph it and find the value.

If we do the first method, we have

[tex]P=200*1.02(15)\\P=3060[/tex]

So the population in 2025 is 3060 ducks.

We can check our answer by graphing on a calculator. If we enter the equation and then use calc>value we can see that when x=15, y=3060.

Hope this helps!

Answer:

Expression: [tex] \frac{40}{y - 16} [/tex]

When y = 20, the value of the expression is 10.

Step-by-step explanation:

The expression for the phrase "difference of a number, y, and 16" is (y - 16).

Therefore, the quotient of 40 and the "difference of a number, y, and 16" would be written as:

[tex] \frac{40}{y - 16} [/tex]

Let's evaluate the expression when y = 20.

Substitute y = 20 into [tex] \frac{40}{y - 16} [/tex].

Thus:

[tex] \frac{40}{20 - 16} [/tex]

[tex] = \frac{40}{4} = 10 [/tex]

Answer:

1, 2, 4, 5, 8, 10, 20, 40

Step-by-step explanation:

These number can all divide 40

Answer:

1 × 40 = 40.

2 × 20 = 40.

4 × 10 = 40.

5 × 8 = 40. Therefore, the factors in pairs are (1, 40), (2, 20), (4, 10) and (5, 8).

Step-by-step explanation:

These are the factors of 40

Answer:

3

Step-by-step explanation:

It would take.him.about 3 years

======================================================

Work Shown:

A = event of losing $100

P(A) = probability event A occurs = 0.20

V(A) = net gain of event A happening = -100

B = event of gaining $30

P(B) = probability event B occurs =  0.80

V(B) = net gain of event B happening = 30

-----------------

E(X) = expected value

E(X) = P(A)*V(A) + P(B)*V(B)

E(X) = 0.20*(-100) + 0.80*(30)

E(X) = 4

The expected value is $4

This means the investor expects to get an average return of $4.

Answer:

Step-by-step explanation:

Step one:

given data

We have a question to answer

given that the speed is 6 mph and the time taken is 3 hours

v= 6mph, t= 3, distance =?

distance= speed * time

distance= 6*3= 18miles

From the distance calculated, we can see that there exist a proportional relationship, lets say the time taken is 4 hours, then the distance will be

distance= 6*4= 24 miles.

hence the distance traveled is proportional to the time taken

Answer:

Improvements in which area would help reduce the possibility of damage to the environment when using uranium as a fuel?

A.) more-efficient extraction techniques

Step-by-step explanation:

To curb these detrimental effects, it is required to provide more-efficient extraction techniques when using uranium as a fuel.

Environmental pollutants are substances released into the natural environment that cause negative effects, such as damaging health or inflicting various sorts of damage.

Uranium mining has far-reaching consequences, polluting the environment with radioactive particles, radon gas, water-borne pollutants, and higher concentrations of radiation levels.

To curb these detrimental effects and to improve the possibility of damage caused to the environment, it is required to provide more-efficient extraction techniques when using uranium as a fuel.

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Answer:

You need to pay $1,759.50 if you get a 15% discount.

Step-by-step explanation:

100%-15%=85%

0.85x2,070=$1,759.50

One example I've seen many times when I walk in the park, or just outside my house, is the pattern on the back of a moth. Here's an example of one. I hope this helps.

Answer:

12

Step-by-step explanation:

Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 29.5

Standard deviation r = 5.2

Number of samples n = 59

Confidence interval = 90%

z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Answer:

y intercept = -5

slope= 4

equation: y = 4x - 5

EXPLANATION:

FIRST, you must write the formula for a linear graph , which is y = m(x) + c

where y is any y component and x is it's corresponding x component , m is the gradient or slope and c is the constant or y intercept.

SOLUTION:

y = mx + c

finding the gradient (m)

m = y2 - y1

x2 - x1

=( (-1)-(-5) ) ÷ (1-0)

= -1+5 ÷ 1

= 4

Therefore, the slope is 4

finding the y intercept.

y = 4x + c

in the above equation, I substituted the value I had for the slope or the gradient or m.

SO NOW IM ABOUT TO FIND C

TO FIND C, YOU MUST FIRST PICK A CORRESPONDING Y AND X COMPONENT.

I CHOOSE MY Y = 3 and X = 2

Now I'm going to substitute those values into the formula.

(3) = 4(2) + C

since it's an equation with one variable, no need for simultaneous equations.

3 = 8 + c

3-8 = c

-5 = c

SO THATS HOW WE ARRIVED AT -5 AND 4.

WITH THAT, the equation of the line is y = 4x - 5.

I HOPE IT WAS HELPFUL.