GIVING BRAINILEST! Find the perimeter of the figure to the nearest hundredth!

Answer:

21 years old

Step-by-step explanation:

Set Alan's age as x, Bernice's age as y

2x=y

x-4+y-4=55

x+y=63

3y=63

x=21

y=42

Answer:

1st: y=-2x-3

2nd:y=-2x-13

Step-by-step explanation:

Since the line is parallel to y = -2x-4, its slope is -2. Therefore, we have the equation y=-2x

But when we evaluate that equation at -1, we get -2(-1)=2, but we want to make it equal to -1 when evaluated at -1. Therefore, we can subtract 3, as 2-3=-1.

Therefore, the equation is y=-2x-3.

For the second question, we can use a similar concept. The slope will be -2, but if you directly evaluate it at -4, it's going to be 8, but we want it to be -5, so we subtract 13.

Therefore, the equation is y=-2x-13

Problem 1

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

Explanation:

Parallel lines have equal slopes but different y intercepts.

Linear equations in the form y = mx+b have slope m and y intercept b.

The slope of y = -2x-4 is m = -2

So any parallel line to this will also have m = -2

Plug (x,y) = (-1,-1) along with the value of m, into y = mx+b and solve for b

y = mx+b

-1 = -2(-1)+b

-1 = 2+b

2+b = -1

b = -1-2

b = -3

The parallel line is y = -2x-3

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

Problem 2

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

Explanation:

We'll use the same ideas and steps as problem 1.

y = -2x-5 has slope m = -2

The parallel line also has slope m = -2

We want the parallel line to go through (x,y) = (-4,-5)

So,

y = mx+b

-5 = -2(-4)+b

-5 = 8+b

8+b = -5

b = -5-8

b = -13

The parallel line is y = -2x-13

Answer:

2

Step-by-step explanation:

\(\frac{3-1}{2-1}=\frac{2}{1}=2\)       \(\left\{\frac{y_1-y_2}{x_1-x_2}=slope\right\}\)

slope = 2

I hope this helps you

:)

The answer is 2. Hope this helps :)

The toddler has 2 grapes per carrot and 11 carrots on the day he or she has 22 grapes is true. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

It is asserted that the four fundamental operations, also referred to as "arithmetic operations," may adequately explain all real numbers. Quotient, product, sum, and difference are the operations in mathematics that come after division, multiplication, addition, and subtraction.

We are given a table which shows the relationship between the number of grapes and the number of carrots a toddler has in a day.

From this, we get that the toddler has 2 grapes per carrot

This is because when we divide the number of grapes with the number of carrots, for each value we get 2.

Similarly, on the day when the toddler has 22 grapes, the number of carrots will be obtained by using division operation which is as follows:

\(\frac{22}{2}\) = 11

Hence, the first statement about the number of grapes per carrot is true.

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The complete question has been attached below

Answer: I think that the answer is 3/4 miles

Step-by-step explanation:

The correct equation representing the Line of fit is ŷ = 3.8x - 109.2.

The line of fit for the given data, we can use regression analysis with technology. The equation that represents the line of fit is in the form ŷ = mx + b, where ŷ is the predicted value, x is the average daily temperature, m is the slope of the line, and b is the y-intercept.

Using the given data and regression analysis, we obtain the equation:

ŷ = 3.8x - 109.2

Therefore, the correct equation representing the line of fit for the data is ŷ = 3.8x - 109.2.

This equation indicates that for every increase of 1 degree Fahrenheit in the average daily temperature, the total ice cream sales are predicted to increase by 3.8 units. The negative y-intercept of -109.2 suggests that when the average daily temperature is 0 degrees Fahrenheit, the predicted ice cream sales would be $109.2.

the negative sign in front of the x coefficient (-3.8x) or (-6.5x) would not be appropriate in this case since we observe a positive correlation between the temperature and ice cream sales. Therefore, the equations ŷ = −3.8x − 109.2 and ŷ = −6.5x − 279.1 are incorrect.

In conclusion, the correct equation representing the line of fit is ŷ = 3.8x - 109.2.

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Answer: C. t < -3

Hope this helps!

Answer: C. t < -3

Because i made a 100 on my test

Answer:

no clue

Step-by-step explanation:

Answer:

Slope of PQ

m

r

=

y

Q

−

y

P

x

Q

−

x

P

=

1

−

5

−

1

−

(

−

2

)

=

−

4

Slope of QR

m

p

=

y

R

−

y

Q

x

R

−

x

Q

=

3

−

1

7

−

(

−

1

)

=

1

4

Slope of RP

m

q

=

y

R

−

y

P

x

R

−

x

P

=

3

−

5

7

−

5

=

−

1

Since slopes PQ & PR,

m

r

=

−

1

m

p

, it's a right triangle

The rate of each group was 1.86 mph and 3.36 mph.

Given that the two towns are 1150 miles apart.

A group of hikers from each town meet after a total hiking time of 220 hours.

One group travels 1 1/2 mile per hour slower than the other​ group,

We need to find the rate of each group,

So, let use consider, distance travelled by one group = x miles,

Therefore, second group travelled = 1150 - x miles.

Rate of first group = y mph

Rate of second group = y - 3/2 mph

Rate = distance / time

So,

y = x / 220

x = 220y.............(i)

Similarly,

y-3/2 = 1150 - x / 220

220y - 330 = 1150 - x

Using eq (i)

220y - 330 = 1150 - 220y

440y = 1480

y = 3.36

y - 3/2 = 1.86

Hence the rate of each group was 1.86 mph and 3.36 mph.

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The measure of the central angle is 0.75 radians

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The length of an arc with an angle of Ф is given by:

Length of arc = (Ф/360) * (π * diameter)

The diameter is 16 cm and intercepted arc length is 6 cm, hence:

Length of arc = (Ф/360) * (π * diameter)

6 = (Ф/360) * (π * 16)

Ф = 42.97°

Ф = 42.97° * π/180 = 0.75 radian

The measure of the central angle is 0.75 radians

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Answer:

Jemma: 22x + 5

Debra: 20x

Step-by-step explanation:

Answer:

2.4*18 = $43.2

stock price is $43.2

Step-by-step explanation:

Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))

Answer:

The value of x is 3, in the shown model

Option A is correct, the value of x in the given model is 3.

Two or more expressions with an Equal sign is called as Equation.

The equation of the given model is given as 4x-2=3x+1

Four times of x minus two equal to three times of x plus one.

We need to find the value of x

x is the variable and plus and minus are the operators of addition and subtraction.

Let us take the variable x terms on one side and constant on other side

4x-3x=2+1

x=3

Hence, the value of x in the given model is 3.

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The polynomial in standard form with the given zeros is:

y = x³ + 2x² - 7x + 4

First, we know that our polynomial has a single root at x = -4 and a double root at x = 1, then we can write the polynomial as:

y = (x - (-4))*(x - 1)*(x - 1)

Expanding the product, we get:

y = (x + 4)*(x - 1)*(x - 1) = (x + 4)*(x² - 2x + 1)

y = x³ - 2x² + x + 4x² - 8x + 4

y = x³ + 2x² - 7x + 4

That is the polynomial with the given zeros.

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The values of the variables are x = 36, a = 35, n = 87, n = 30 and y = 120

From the question, we have the following parameters that can be used in our computation:

20) x/4 = 9

21) a/5 = 7

22) n/3 = 29

23) n/3 = 10

24) y/5 = 24

To do this, we use the property of multiplication to solve for the variable in each equation

So, we have

x = 4*9 = 36

a = 5*7 = 35

n = 3*29 = 87

n = 3*10 = 30

y = 5*24 = 120

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Answer:

53 hours and 45 minutes

Step-by-step explanation:

since they open for 10 hours and 45 minutes a day.

10*5=50 hours, 45*5=225 minutes

add the minutes and hours together and it is 53 hours and 45 minutes

The value of u is 2 in the given right-angled triangle.

The given figure is a right-angled triangle with hypotenuse 'u' and the other two sides as \(\sqrt{2}\) and v.

We have to find the value of 'u' using Pythagoras theorem or trigonometric identities.

It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In a right-angled triangle ABC, if

BC = hypotenuse

AC and AB are the other two sides then,

\(BC^2 = AC^2 + AB^2\).

For this problem, we can find the value of u by using trigonometric identities.

From the figure, we have an angle of 45°.

Consider Cos 45°.

Cos Ф = base / hypotenuse

Cos 45° = \(\sqrt{2}\) / u ...........(1)

From trigonometric identities of cosine.

We have,

Cos 45° = 1 / \(\sqrt{2}\)............(2)

From (1) and (2)

We get,

1 / \(\sqrt{2}\) = \(\sqrt{2}\) / u

u = 2.

Thus the value of u is 2 in the given right-angled triangle.

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The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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Answer:

Your answer is 6 feet because if the rang is 6 than the fith number would be 6.

Rang is the maximum number in this cause is 12, minis the minimum.

Answer:

A: Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.

Step-by-step explanation:

We are given;

chance of rain next week on Monday is 50%. Thus;

P(rain next Monday) = 0.5

chance it rains on Tuesday is 80%. Thus;

P(rain next Tuesday) = 0.8

From independent events, we can say that;

P(A and B) = P(A) × P(B)

A and B are independent events because the probability of A doesn't affect B as is the case for rain on Monday and Tuesday given.

Thus;

P(rain on Monday & tuesday next week) = 0.5 × 0.8 = 0.4

This can also be written as 40%

Correct answer is option A since both events are independent

He would have saved $87,221.02  after 1 year

He would have saved $268,335.90   after 3  years

What is an ordinary annuity?

An ordinary annuity means a fixed amount invested at specific intervals, in this case, $7,185.51 is invested monthly, which means that its future value can be computed using the future value formula of an ordinary annuity as shown below:

FV=PMT*(1+r)^N-1/r

FV=future value of an ordinary annuity

PMT=monthly payment invested every month

r=monthly interest rate=annual interest/12

N=number of months that monthly payments were

FV after 1 year:

PMT=$7,185.51

r=monthly interest rate=2.5%/12=0.00208333333333333

N=number of months in 1 year=12

FV=$7,185.51*(1+0.00208333333333333)^12-1/0.00208333333333333

FV=$7,185.51*(1.00208333333333333)^12-1/0.00208333333333333

FV=$7,185.51*0.02528845698324970/0.00208333333333333

FV=$87,221.02

FV after 3  years:

PMT=$7,185.51

r=monthly interest rate=2.5%/12=0.00208333333333333

N=number of months in  3 years=36

FV=$7,185.51*(1+0.00208333333333333)^36-1/0.00208333333333333

FV=$268,335.90

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Answer:

The range of the following set of points is {4, -2, -8}

Step-by-step explanation:

∵ The set of points is {(3, 4), (7, -2), (11, -8)}

∵ The range is the y-coordinates of these points

∵ The y-coordinates of the points are 4, -2, -8

∴ The range is {4, -2, -8}

∴ The range of the following set of points is {4, -2, -8}

meter =1,000 millimeters. So, the scale is:

7 mm:1,000 mm Divide both sides by 7

1 mm:142 6/7 mm - This is the scale that Tess used.

(1) The expression for the apparent nth term aₙ of the sequence is aₙ = (n + 5) / (4n - 1).

(2) The expression for the apparent nth term aₙ of the sequence is aₙ = 1 / (n(n+1)).

The expression for the apparent nth term aₙ of the sequence is determined as follows.

For the first question, the sequence appears to have the form:

aₙ = (n + 5) / (4n - 1)

For example;

when n = 1, we have;

a₁ = (1 + 5) / (4x1 - 1) = ⁶/₃

When n = 2, we have;

a₂ =  (2 + 5) / (4x2 - 1) = ⁷/₇. And so on.

For the second question, the sequence appears to have the form:

aₙ = 1 / (n(n+1))

For example;

when n = 1, we have;

a₁ = 1 / (12) = ¹/₂.

When n = 2, we have

a₂ = 1 / (23) = ¹/₆. And so on.

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The complete question is below:

1. write an expression for the apparent nth term aₙ of the sequence ( assume that n begins with 1)

⁶/₃, ⁷/₇, ⁸/₁₁, ⁹/₁₅, ¹⁰/₁₉, ....

aₙ = ?

2. write an expression for the apparent nth term aₙ of the sequence ( assume that n begins with 1)

1, ¹/₂, ¹/₆, ¹/₂₄, ¹/₁₂₀, ....

aₙ = ?

Answer:

b) ∠x and ∠z
e) ∠b and ∠d

Step-by-step explanation:

Vertical angles are angles that are opposite of each other. They are also congruent. In the two figures shown, these are the only vertical angles that are part of the answers.