can someone pls help me with exercise 7 in algebra

The amount paid for meal is obtained as $18.19.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

Given that,

The price of the meal is $20.

The percent discount is 15%.

And, the percent tax is 7%.

Now, the final amount paid can be calculated as follows,

(20 - 15% of 20) + 7% of (20 - 15% of 20)

= (20 - 15/100 × 20) + 7/100 × (20 - 15/100 × 20)

= 17 + 7/100 × 17

= 17 + 1.19

= 18.19

Hence, the amount paid by the father for meal is $18.19.

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The system's two potential fixes are

t = 3.099 tennis ball

launch of a rocket, t = 6

Antonio's rocket's height is the unreasonable solution, because the path was followed should not be a linear function.

At 2.32 seconds, the rocket and tennis ball both reach the same height.

The two equations of motion are

b(t) = -t² - 4t + 22.

p(t) = -2t + 12

The answer to the quadratic equation is

b(t) = -t^2 - 4t + 22.

t = 3.099 OR t = -7.099

use positive hence t = 3 seconds

The linear equation's answer is

t = 6

The linear equation is the answer that is unreasonable in this case. because projectile motion does not follow a linear path

duration to reach the same height

-2t + 12 = -t^2 - 4t + 22.

-t^2 - 2t + 10

When the equation is solved,

t = 2.3166 OR -4.3166

select the positive number.

t = 2.32 s

2.32 s is needed to reach the same height.

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The area of the surface = [tex]\pi \sqrt{14}[/tex] sq. units

As given in the question the part of,

plane ⇒ x + 2y = 3z = 1

cylinder = [tex]x^{2} + y^{2} = 3[/tex]

Let take P = projection on plane x + 2y + 3z = 1

The surface area of the equation is given by,

∫∫ₚ  √{1+(∂z/∂x)² + (∂z/∂y)²} dA

Using the coordinate of the cylinder,

x = n cos [tex]\alpha[/tex] , y = n sin [tex]\alpha[/tex]

= [tex]x^{2} + y^{2} = (n cos \alpha )^{2} + n sin \alpha ^{2}[/tex]

= [tex]n^{2} (cos^{2}\alpha + sin^{2}\alpha )[/tex]

= [tex]n^{2}[/tex] x 1 = [tex]n^{2}[/tex]

= [tex]n^{2}[/tex] = 2 ⇒ n =  [tex]\sqrt{2}[/tex]

Therefore, P =  {(r,θ)/ 0 ≤ r ≤ [tex]\sqrt{2}[/tex], 0 ≤ θ ≤ 2π}

x +2y + 3z =1

⇒ z = 1/3(1 - x - 2y)

∂z/∂x = -1/3 ; ∂z/∂y = -2/3

According to the formula of surface area,

= ∫∫ₚ √{1+ (-⅓) ² + (-⅔) ²} dA

= 14 /3 [tex]\int\limits_0^{2\pi } \int\limits_0^{\sqrt{3} }[/tex] dA is an area of region P

= [tex]\sqrt{14}[/tex] / 3 [tex]\int\limits_0^{2\pi } \int\limits_0^{\sqrt{3} }[/tex]r. dr. d[tex]\alpha[/tex]

= [tex]\sqrt{14}[/tex] / 3 [tex]\int\limits_0^{2\pi }[/tex] [tex][r^{2} / 2 ]^{\sqrt{3} }_0[/tex] .d[tex]\alpha[/tex]

= [tex]\sqrt{14}[/tex] /3 [tex]\int\limits_0^{2\pi }[/tex]3/2. d[tex]\alpha[/tex]

= [tex]\sqrt{14}[/tex] /2 [tex][\alpha ]^{2\pi }_ 0[/tex]

= [tex]\sqrt{14}[/tex] /2[[tex]2\pi[/tex] - 0]

= [tex]\pi \sqrt{14}[/tex]

Therefore, the area of the surface = [tex]\pi \sqrt{14}[/tex] sq. units

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The value of the equation A = n³ ( 2n )⁻² is given by A = ( n / 4  )

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ  = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the equation be represented as A

Now , the value of A is

A = n³ ( 2n )⁻²

On simplifying the equation using the laws of exponents , we get

The value of A = n³ / ( 2n )²

Taking the powers to the value of 2n , we get

The value of A = n³ / 4n²

On dividing the numerator and denominator by n² , we get

The value of A = n / 4

Therefore , the value of A = n / 4

Hence , The value of the equation A = n³ ( 2n )⁻² is given by A = ( n / 4  )

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Answer:

Step-by-step explanation:

yall weird ok

Answer: 40%

Step-by-step explanation:

Take 170 divided by 425, then times 100% = 40%

So 40% of the guests ordered food!

Answer: 8 episodes it would have been 2 days

so 8 episodes will be watched for them to be caught up with each other

Answer:

Step-by-step explanation:

-4(-x-8)

= (-4)(-x+-8)

= (-4)(-x)+(-4)(-8)

= 4x+32

Answer:

Step-by-step explanation:

IS =K

The relationship between the points on the line and solutions to the linear equation is, the equation has a solution at each point along the line.

In the given question, we have to find the relationship between the points on the line and solutions to the linear equation.

The equation has a solution at each point along the line. This simply means that it is easy to tell whether an ordered pair is a solution to an equation. The ordered pair is a solution to the equation if it lies on the line drawn by the linear equation.

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The cost of the labor per hour is 115 hours.

The equation is going to be:

4.25x + 167 = 655.75

your x is going to be:115

The duration was 4.25 hours.

The parts cost 167.

Cost in full: 655.75

so the price per hour is x.

As a result, when you write your equation, the total number of hours (multiplied by the cost per hour) will be added to the cost of the parts, and the sum of these two amounts will be your total cost.

In order to solve the problem, you must deduct the cost of each component from the total cost. This should give you the following result: 4.25x = 488.75

After that, divide 4.25 by each side as you normally would.

The cost of labor per hour follows. 115

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a. The solution to the system of equations is: (4, 12).

b. The graph is shown below.

c. (4, 12) is the point of intersection. It confirms the solution from part a.

The solution of a system of equations can be described as the value of x and y of a point, that makes both equations true. It is the point where the two lines of the equations of the system intersect.

If we are given two tables, the ordered pair that appears in both table is considered the solution of the system.

a. The ordered pair, (4, 12) appears in both tables. Therefore, the solution is: (4, 12).

b. The graph of the ordered pairs from each table are sketched in the image shown below, where the green line is for the first table, and the blue line is for the second table.

c. The point of intersection of the graph is (4, 12), this confirms the solution from part a.

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The numbers of  $0.02 stamps and numbers of $0.41 stamps, if Maria spent $12.50 at the post office. Three times as many $0.41 stamps were purchased by her as $0.02 stamps are 10 and 30 respectively.

The equals sign is used in equations to indicate the equality of two expressions in a formula.

Given:

Maria spent $12.50 at the post office. She bought three times as many $0.41 stamps as $0.02 stamps.

Write the equations as shown below,

3x = y  and 0.02 x +  0.41 y  = 12.5

Here, x = number of 0.02 stamps and y = number of 0.41 stamps.

Solve the equation by substituting the value of x,

x = 10 and y = 3 × 10 = 30

As a result, there are 10 and 30 $0.02 stamps and $0.41 stamps, respectively.

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The rules AAS, ASA, SSS and SAS are congruence rule of triangle  and the each rules has been explained

The rules AAS, ASA, SSS and SAS are congruence rule of triangle

SSS rule is side-side-side rule, it states that if three sides of the one triangle and three sides of the other triangles are equal, then both triangles are congruent

SAS rule is side-angle-side rule, it states that if two sides and one included angles between the sides of the one triangle is equal to  the two sides and one included angles between the sides of the other triangle, then both triangles are congruent

ASA rule is angle-side-angle rule, it states that if two angles and one included side between the angle of the one triangle is equal to the two angles and one included sides between the angles of the other triangle, then both triangles are congruent

AAS rules is angle-angle-side rule, it states that if two angles and one non included sides of the one triangle is equal to the two angles and one non included sides of the another triangle, then both triangles are congruent

Therefore, the AAS, ASA, SSS and SAS are the rules of congruence of the triangle

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The measure of the vertex X in the given triangle XYZ is 90°  .

In the question ,

it is given that ,

that there is a triangle XYZ ,

and the measure of vertex Y is 45° and vertex Z is 45° ,

By Applying the Angle Sum Property of triangle ,

measure of angle X + angle Y + angle Z = 180°

So , X  + 45° + 45° = 180

Adding the terms ,

X + 90° = 180°

Subtracting 90° from both sides of the equation ,

we get,

X = 180° - 90°

X = 90°

Therefore , the measure of the vertex X is 90° , so the triangle XYZ is a right triangle .

The given question is incomplete , the complete question is

What is the measure of the vertex X of the triangle XYZ which have ∠Y = 45°  and ∠Z = 45° ?

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Answer:

To write and solve an inequality that can be used to determine the number of 50-kilogram crates that can be loaded into the shipping container, we need to first find the total weight of the crates that can be loaded into the container. The maximum weight that can be loaded into the container is 27500 kilograms, and other shipments weighing 9500 kilograms have already been loaded, so the total weight of the crates that can be loaded is 27500 kilograms - 9500 kilograms = 18000 kilograms.

Next, we need to divide the total weight of the crates that can be loaded by the weight of each crate to find the number of crates that can be loaded. Since each crate weighs 50 kilograms, the number of crates that can be loaded is 18000 kilograms / 50 kilograms = 360 crates.

To express this as an inequality, we can use the following equation:

x <= 360

This inequality states that the number of crates that can be loaded into the shipping container (x) must be less than or equal to 360. Therefore, the number of 50-kilogram crates that can be loaded into the shipping container is x <= 360.

Step-by-step explanation:

The amount of investment after compound interest will be $8183.24.

Compound interest is the addition of interest to the principal sum of a loan or deposit or interest on interest plus interest.

In finance and economics, interest is the payment of an amount above the repayment of the principal sum by a borrower or deposit-taking financial institution to a lender or depositor at a specific rate by a borrower or depositor. It differs from a fee that the borrower may pay to the lender or a third party.

The formula calculates compound interest is calculated by the formula,

[tex]A=P(1+\dfrac{r}{100})^{nt}[/tex]

Here,

A = Amount

P = Principle amount

r = rate of interest

n= Number of times amount compounded

t = time

The compounded amount will be calculated as,

A = 5575 ( 1 + 0.0325 )¹²

A = 5575 x 1.4678

A = $8183.24

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The end behaviours of the functions are f(x) = x⁴ - x³ - 16x³ + 4x + 48

As x ⇒ +∝, f(x) ⇒ +∝ and as x ⇒ -∝, f(x) ⇒ -∝

The equation of the function is given as

f(x) = x⁴ - x³ - 16x³ + 4x + 48

Calculate f(∝) and f(-∝).

So, we have

f(∝ ) = ∝ ⁴ - ∝ ³ - 16∝ ³ + 4∝  + 48

So, we have;

f(∝) = ∝

Also, we have

f(-∝ ) = -∝ ⁴ - (-∝) ³ - 16(-∝) ³ - 4∝  + 48

Evaluate;

f(∝) = -∝

This means that the end behaviours of the functions are;

As x ⇒ +∝, f(x) ⇒ +∝

as x ⇒ -∝, f(x) ⇒ -∝

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Answer:

ℎ(−5) is −14.

Step-by-step explanation:

To find the value of ℎ(−5), we plug −5 in for x in the expression for ℎ(x):

ℎ(−5) = −3|−5 − 1| + 4

To evaluate the absolute value, we need to find the distance between −5 and 1 on the number line. Since the absolute value function is always non-negative, the distance between −5 and 1 will be positive.

To find the distance between −5 and 1, we subtract the smaller number from the larger number:

|−5 − 1| = |−6| = 6

Now we can plug this value into the expression for ℎ(−5) to find its value:

ℎ(−5) = −3 * 6 + 4

ℎ(−5) = −18 + 4

ℎ(−5) = −14

Therefore, the value of ℎ(−5) is −14.

Answer:

-11

Step-by-step explanation:

f(4)=-2(4)+1

f(4)= -8+1

f(4)= -7

g(x)= 3(-1)

g(x) = -4

f(4)+g(-1)= -7+(-4)

                -7-4

                -11

hopes this helps

Answer:

-11 just took the test and that was mine

Step-by-step explanation:

Answer: 810

Step-by-step explanation:

The rate of change of the linear function represented by the table is a = 4.

A general linear function is written as:

f(x) = a*x + b

Where a is called the slope and is also the rate of change of the function, and b is the y-intercept.

If we know two points on the line, (x₁, y₁) and (x₂, y₂), then the rate of change can be computed with the following formula:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we have a table with some points on that line, we can use any two we want.

For example, I will use the first two, these are:

(-4, -21) and (-3, -17)

Then the rate of change of the linear function is given by:

a = (-17 + 21)/(-3 + 4) = 4/1 = 4

The rate of change is a = 4.

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The equation that can use to find the weight w of the Golden Delicious apples w + 18 = 22.

The weight of the Golden Delicious apples is 4 pounds.

What is a linear equation?

The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x + 3 = 8 only has one variable.

Given that, Paul's family picks 22 pounds of apples.

They pick a bag of Honeycrisp apples weighs 18 pounds.

Assume that they take Golden Delicious apples with weight w.

Then the total weight of the bag is 18 + w.

The equation is

18 + w = 22

Subtract 18 from both sides:

18 + w - 18 = 22 - 18

w = 4

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The number of buckets of fish that the sea otters fed each day is  7/6 buckets .

In the question ,

it is given that ,

the number of buckets of fish that the dolphin are fed at the Washington aquarium = 1/2 bucket

the sea otters are fed [tex]2\frac{1}{3}[/tex] times as many as fish .

So , the number of buckets that are fed to otters is = (7/3) × (number of buckets eaten by fish)

Substituting the values of number of buckets eaten by fish ,

we get

= (7/3) × (1/2)

Simplifying further ,

we get ,

= 7/6 buckets .

Therefore , the sea otters are fed 7/6 buckets of fish each day .

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Answer:

Step-by-step explanation:

Answer:

rise/run

Step-by-step explanation:

Answer:

There’s 3 starfish and 9 seashells.

Step-by-step explanation:

3 x _ = 9

9 / 3 = 3

3 starfish

This is False in light of the stated statement. Due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.

How is regression calculated?

Y = mX + b, where X is the predictive (independent) factor, m is really the approximately slope, and b is the expected intercept, is the methodology for simple linear regression.

The relationship between scattered data points in any set is shown by a regression line. When there is a linear pattern, it displays the relationship between the dependent y variable and independent x variables.

The correlation between the independent variables (IVs) and the dependent variable is described by a linear regression equation (DV). The DV for the IV values you indicate can also be predicted for new values.

Hence we get the required answer.

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The integer numbers that will be repeating in the quotient is 36, the decimal representation of the fraction is 0.3636...

When 8 is divided by 22 we get the fraction 8/22 , when simplified this fraction gives 4/11 .

Now we will divide the numerator by the denominator we get:

4 ÷ 11 = 0.363636...

Thus, it is a repeating decimal .

Hence the numbers 36 will constantly repeat itself.

A quotient is the result of dividing two numbers. The quotient is a mathematical phrase that can also be used to refer to the integer component of a division, fraction, or ratio.

The term "quotient" has been used in many mathematical disciplines to depict structures generated by disassembling larger structures. Given a set with an equivalence relation specified on it, a "quotient set" having particular equivalence classes as items can be formed.

A quotient group is generated by dividing a group into numerous comparable co-sets, and a quotient space is formed by dividing a vector space into numerous comparable linear subspaces.

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Therefore , a)different orders can the spider put on its socks and shoes is  [tex]\frac{16!}{(2!)^{8} }[/tex]  and b)the total no of ways for people to discharge from lift is 14112 ways.

Selections are another name for combinations. Combinations represent the choosing of items from a predetermined group of items. We're not trying to arrange anything here. We're going to pick them. We write n C r to represent the number of distinct r-selections or combinations among a set of n objects. Compared to arrangements or permutations, combinations are different.

Here,

Each dressing sequence may be uniquely characterized by a series of two 1s, two 2s,..., and two 8s; the spider is said to put the sock on leg x in the first instance, and the shoe on leg x in the second instance.

The solution would be 16! if each number were unique.

However, because 8 words appear twice, the solution is

=>  [tex]\frac{16!}{(2!)^{8} }[/tex]

Thus different orders can the spider put on its socks and shoes is  [tex]\frac{16!}{(2!)^{8} }[/tex]

Thus,

Part A: When the elevator operator can't tell who is who.

Currently, there are 6 floors and 10 persons, and each floor loses one.

so 8+6-1=13

applying combination

=>[tex]C^{13} _{5}[/tex] =  1287 ways.

Part 2: When the elevator attendant separates males from ladies.

There are 3 females and 5 males.

The formula for choosing five men is (5 + 6)-1= (10).

Applying combination  

=> .[tex]C^{10} _{5}[/tex]= 252 ways

techniques to choose ladies = 3+6-1=8

Applying combination  

=> [tex]C^{8} _{5}[/tex] = 56 ways

Total no. of ways

=>  252*56 = 14112 ways.

Therefore , the total no of ways for people to discharge from lift is 14112 ways.

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