Calculate the perimeter of the figure

You should keep 0.97 seconds of distance between you and the vehicle ahead.

The formula for calculating distance is expressed as:

distance  = speed * time

Time = Distance/Speed

Given the following parameters

Distance = 50 feet

Speed = 35mph = 51.3ft/s

Time taken = 50/51.3
Time taken = 0.97

Hence you should keep 0.97 seconds of distance between you and the vehicle ahead.

Learn more on distance and speed here: https://brainly.com/question/11495758

Answer:

6:7

Step-by-step explanation:

1.5 m=150 cm

ratio of their hight is 150/175=30/35=6/7

=6:7

The proportion equation is A = 6 : 7

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion equation be represented as A

Now , the value of A is

The height of Maisa is P = 1.5 m

The value of 1.5 m = 150 cm

And , the height of Arman = 175 cm

So , the proportion is

A = height of Maisa / height of Arman

Substituting the values in the equation , we get

A = 150 / 175

A = 6/7

Therefore , the value of  A is 6 : 7

Hence , the proportion is 6 : 7

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

Answer:

838 inches²

Step-by-step explanation:

Finding the area of the countertop including the hole

⇒ Area of countertop including hole: LB

⇒ Area of countertop including hole: (24)(48)

⇒ Area of countertop including hole: 1152 inches²

Finding the area of the hole (sink)

⇒ Area of hole: πr²

⇒ Area of hole: (π)(D/2)²

⇒ Area of hole: (π)(20/2)²

⇒ Area of hole: (π)(10)²

⇒ Area of hole: (π) x 100

⇒ Area of hole: 3.14 x 100 = 314 inches²

Finding the area excluding the hole

1152 - 314 = Area of countertop (excluding the hole)

838 inches² = Area of countertop (excluding the hole)

Considering a six-sided spinner, it is found that the probability of spinning a 1 and tossing a head is of [tex]\frac{1}{12}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

Since the events are independent, the probability of spinning a 1 and tossing a head is given by:

[tex]p = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12}[/tex].

More can be learned about probabilities at https://brainly.com/question/14398287

Step-by-step explanation:

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables and c is the constant term. The other different forms to find and represent the equation of a line are slope-intercept form, point-slope form, two-point form, intercept form, and normal form.

Answer:

7 (1-6)

Step-by-step explanation:

you find the greatest common factor of 7 and 42.

7

7x1

42

1x42

2x21

3x14

6x7

Answer:

x = 25

Step-by-step explanation:

The 45-45-90 triangle is a special isoceles right triangle. If you look at the help image attached, you will see that it has the following rules:

Find x

c = x√2

25√2 = x√2

25√2 ÷ √2 = x

x = 25

I hope this helps!

Answer:

12 years old

Step-by-step explanation:

3x+5=41

3 times a number and 5 more

'more' usually means adding

41-5 =36

36/3 =12

Answer:

Equation: 41 = 3x + 5

x = 12

Step-by-step explanation:

Hello!

Betty is 5 more than 3 times Jadyn's age. Since Jadyn's age is unknown, we'll call that unknown variable x.

Betty is 5 more than 3 times x. Betty is also 41 years old.

Equation: 41 = 3x + 5

Now we have to solve for x

Solve for x:

Jadyn is 12 years old.

Answer:

Slope of the line that is parallel: 2

Slope of the line that is perpendicular: [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

2x - y = 1 <== subtract 2x to both sides

-2x     -2x

-y = -2x + 1 <== divide both sides by -1

/-1      /-1

y = 2x - 1

The slope of the line that is parallel to this line is 2.

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (2)

2. Flip it (1/2)

3. Change the sign (-1/2)

For a slope of 2, the reciprocal would be: [tex]-\frac{1}{2}[/tex]

Hope this helps!

Note that.

Slopes of parallel line are equal

Slopes of perpendicular lines are negative reciprocals

So

Compare to slope intercept form

Slope of the parallel line=2

Slope of the perpendicular line=-1/2

Using the percentage concept, it is found that 40% of Alberto’s income is used to pay for his rent and groceries.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem:

Then, the percentage is given by:

[tex]P = \frac{1280}{3200} \times 100\% = 40\%[/tex]

More can be learned about the percentage concept at https://brainly.com/question/10491646

Answer:

g(x) = x^2 + 6

Step-by-step explanation:

We are trying to find what is g(x) from the graph. f(x) = x^2 translated to g(x).

g(x) = (x - h)^2 +k

It appears the graph is just translated up by k = 6 and no transition of left/right h = 0.

g(x) = (x-0)^2 + 6

g(x) = x^2 + 6

Answer:

i think that the correct answer would be A or C

Step-by-step explanation:

hope this helps

sorry if the answers that i gave you is incorrect

Answer:

2nd option

Step-by-step explanation:

the nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 64 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{32}{64}[/tex] = [tex]\frac{1}{2}[/tex] , then

[tex]a_{n}[/tex] = 64 [tex](\frac{1}{2}) ^{n-1}[/tex]

To calculate the area of a parallelogram

 ⇒ we must know the formula

     ⇒ Area = base * height

What are we given:

Thus:

   Area = 3ft * 4ft = 12 [tex]ft^2[/tex]

Hope that helps!

Answer:

70 fl oz

Step-by-step explanation:

Find how much is added to the punch bowl.

2 containers and each holds 6 fluid ounces.

2 x 6 = 12

Now find the total amount of liquid by adding the original amount and the amount added.

58 + 12 = 70

Answer:

26

Step-by-step explanation:

as the ratio is given you should divide ratio of boys by total ratio and multiply it by the total number of students, kinda like how in percentages you divide partial value/total value x 100, just in this case the total is 45 instead of 100. So [tex]\frac{4}{7} * 45[/tex] = 25.7 which have to be rounded to 26

Answer:

2

Step-by-step explanation:

Following the substitution rules:

O becomes P and

E becomes F

because they are vowels(a,e,i,o,u) change to next letter.

C becomes A

L becomes J

G becomes E

because constants change to the letter two before the given letter.

So COLLEGE becomes APJJFEF

so it now has 2 vowels.

Answer: y = x + 5

Step-by-step explanation:

Translating the figure involves chaging the position of the figure

The coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)

The coordinates are given as:

(−3, 2), (−4, 1), and (−1, −5)

The rule of translation 3 units right and 5 units up is:

(x + 3, y + 5)

So, we have:

(−3 + 3, 2 + 5), (−4 + 5 , 1 + 5), and (−1 + 3, −5 + 5)

Evaluate the sum

(0, 7), (1 , 6), and (2, 0)

Hence, the coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)

Read more about translation at:

https://brainly.com/question/11468584

Step-by-step explanation:

Slope= 7-7/-3-4

0/-7

0

y-7 = 0(x-4)

y-7= 0

if dimensions were 5 and 12, that means ratio was 5:12. if we increase wach dimension by the same amount, the ratio is the same.

so:

5x×12x=120

60x²=120

x²=120÷60

x²=2

x=√2

that means each dimension was increased by √2

so dimensions are: 5√2 and 12√2

Answer:

37 and 43

Step-by-step explanation:

There are some ways to do this, but this is what I like to do. First, since there are 2 people, I divide 80 by 2, which is 40. Now I add 3 to one person and subtract 3 from one person, because the age difference is 6 years, and there are two people (if you divide them you get 3). Now you get the answer; 37 and 43.

Answer:

Step-by-step explanation:

Answer:

5

x

2

+

20

x

−

60

Factor

5

out of

5

x

2

+

20

x

−

60

.

Tap for more steps...

5

(

x

2

+

4

x

−

12

)

Factor.

Tap for more steps...

5

(

x

−

2

)

(

x

+

6

)

Step-by-step explanation:

ANSWER IS =5X2+20X-60

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

THIS ANSWER IS CORRECT

Answer:

undefined

Step-by-step explanation:

Given points:  (-8, -3) and (-8, -2)

As the x-value of both points is the same, there is no slope.

Therefore, the line that passes through the two given points is a vertical line at [tex]x=-8[/tex]

[tex]\textsf{let}\:(x_1,y_1)=(-8,-3)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-8,-2)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-(-3)}{-8-(-8)}=\dfrac{1}{0}[/tex]

Any number divided by zero is undefined.

Answer:

[tex]\boxed{\sf{x=\dfrac{21}{4}=5.25 }}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

Use the distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

Expand the form multiply.

4*x=4x

4*3=12

Rewrite the problem down.

4x-12=9

Add by 12 from both sides.

4x-12+12=9+12

Solve.

Add the numbers from left to right.

9+12=21

4x=21

Divide by 4 from both sides.

4x/4=21/4

Solve.

Divide the numbers from left to right.

x=21/4

21/4=5.25

x=21/4=5.25

I hope this helps you! Let me know if my answer is wrong or not.

The answer is B. Apply the distributive property to get 4x−12=9. You would do 4 times x to get 4x and then 4x3 to get 12. Then apply that information to the equation to get 4x−12=9.

Answer:

One solution

Step-by-step explanation:

Discriminant

[tex]\textsf{Discriminant}:b^2-4ac}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{If}\quad b^2-4ac=0 \implies \textsf{one solution}[/tex]

[tex]\textsf{If}\quad b^2-4ac > 0 \implies \textsf{two solutions}[/tex]

[tex]\textsf{If}\quad b^2-4ac < 0 \implies \textsf{no solutions}[/tex]

Given equation:

[tex]-8x^2-8x-2=0[/tex]

Swap sides:

[tex]\implies 8x^2+8x+2=0[/tex]

Using discriminant:

[tex]\implies b^2-4ac=8^2-4(8)(2)=0[/tex]

Therefore, there is one solution

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

Proof

[tex]8x^2+8x+2=0[/tex]

Divide both sides by 2:

[tex]\implies 4x^2+4x+1=0[/tex]

Separate the middle term:

[tex]\implies 4x^2+2x+2x+1=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies 2x(2x+1)+1(2x+1)=0[/tex]

Factor out the common term [tex](2x+1)[/tex]:

[tex]\implies (2x+1)(2x+1)=0[/tex]

Therefore:

[tex]\implies 2x+1=0[/tex]

[tex]\implies x=-\dfrac12[/tex]

Thus proving there is one solution.

Here

Discriminate

Roots are equal hence one solution

Answer:

5. During the day, the temperature on the surface of Mars rises at a rate of 9 degrees C every hour

a. In 2 hours: 18 a. in 3 hours: 27    in n hours: 9n

b. y=9n

c. 108

d. -540

6. Kaite saves 5 dollars every week, so far she has saved a total of $63

a. y=5x+63

b. 25

hope it helps