Please the inverse of this function!!

Answer: -4

Step-by-step explanation: Start where the y-intercept is and go from there to the next point.

You go down by 4 to go to the point and then to the left one.

-4/1 = rise/run

-4= rise/run

Answer:

(4,2)

Step-by-step explanation:

the solution to the system of equations is the point where the 2 lines intersect:  (4,2)

Answer:

Step-by-step explanation:

12. all angles are the same size.

all ik sry

The statement that when algebraic or numerical fractions are added or subtracted, the result is a single fraction is True.

For addition or subtraction of algebraic or numerical fractions, the denominator has to be the same for all terms in the equation.

For common denominator,

Suppose 2 numerical fractions are being added which have a common denominator: 3/5 + 1/5

The resultant fraction will be 4/5, which is a single fraction

For algebraic fractions, considering the denominators are common, such as 3x/5 + 4x/5 = 7x/5

The result is also a single fraction.

For different denominators,

Suppose 2 numerical fractions are being subtracted which have different denominators such as, 5/9 – 3/7

In this case, the least common multiple for the denominators are calculated: 9*7= 63, and the opposite numerators are multiplied to the opposite denominators

Therefore, (5*7 – 3*9)/63 = (35 – 27)/63 = 8/63, which gives us a single fraction.

The process is same for algebraic fractions, for example,

4x/7 – 3x/5 = (4x*5 – 3x*7)/35 = (20x – 21x)/35 = -x/35, which is also a single fraction.

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Answer:

by finding the angles and sides using law of sines

Step-by-step explanation:

basically you have to use the law of sines to find the angles and sides, after that you will find the angles and sides using law of sines

Answer:

to get your answer you have to. Then after that, and finally

Answer:

Since 21 and 22 are vertical angles, they are congruent. Therefore, m/1 = m22.

Using the equation m/1 = (17x + 1) we can find the measure of the angle m22.

m22 = (17x + 1)

Since ZK and ZL are complementary angles, the sum of their measures is 90 degrees.

mZK + mL = 90

Using the equations mZK = (3x + 3) and mL = (10x-4) and substituting them in the equation, we can find the measure of each angle.

3x + 3 + 10x - 4 = 90

13x - 1 = 90

13x = 91

x = 7

Therefore, mZK = (3x + 3) = (3(7) + 3) = 24 and mL = (10x-4) = (10(7) - 4) = 66

Step-by-step explanation:

The probability of getting a total value of $50 is 1/6.

There are three possible outcomes for Ben's prize: $5, $10, or $20.

There are two possible outcomes for Jamie's prize: $30 or $40.

Therefore, there are 3 x 2 = 6 total possible outcomes for the combined value of their prizes.

To find the probability that the total value of their prizes is exactly $50, we need to find the number of outcomes that result in a total value of $50, and divide that by the total number of possible outcomes.

The only way to get a total value of exactly $50 is that Ben wins $20 and Jamie wins $30. This is only one combination out of 6 possible combinations. So the probability of getting a total value of $50 is 1/6 or approximately 0.166.

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Make a linear function that, after t minutes, returns the circle's radius in inches. The circle's radius will have increased by inches, hence the radius increases by inches [3 points]. Create a linear function that returns the circle's radius.

The slope-intercept form of a linear function equation. As a result, it is written as f(x) = mx + b, where m is the slope & b is the y-intercept of a line.

Therefore, the distance to the safe zone is 24 * 4 + 70, which is 166.

The formula should be D=166-24t. She needs to go 166 meters, and since she is approaching the safe place at 24 meters per second, her distance to the safe zone is decreasing by 24 meters per second, making the calculation -24 meters per second rather than 24 meters per second.

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To calculate the probability that the proportion of couples in the sample who are racially or ethnically mixed will be greater than .10, we can use a normal approximation to the binomial distribution.

First, we need to calculate the mean and standard deviation of the proportion of mixed couples in a sample of 200.

The mean is calculated as:

mean = n * p

where n is the sample size (200) and p is the proportion of mixed couples in the population (assumed to be .10).

So: mean = 200 * .10 = 20

The standard deviation is calculated as:

standard deviation = sqrt(n * p * (1-p))

where n is the sample size (200), p is the proportion of mixed couples in the population (assumed to be .10), and sqrt is the square root function.

So: standard deviation = sqrt (200 * .10 * .90) = sqrt (18) = 4.24

We can use the standard normal distribution to calculate this probability. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. We can convert our random variable X to a standard normal variable using the following formula:

Z = (X - mean) / standard deviation

So: Z = (X - 20) / 4.24

To find the probability that X is greater than .10, we can use a standard normal table or calculator to find the probability that Z is greater than (X - 20) / 4.24

This probability is 0.48, so the probability that the proportion of couples in the sample who are racially or ethnically mixed will be greater than .10 is 48%.

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Answer:

To find the distance of the car from the foot of the building, you can use the tangent function and the information given:

distance = 24m / tan(40°)

The distance of the car from the foot of the building is approximately 27.4m

Step-by-step explanation:

A. Huixian's mother has 1608  shares of company A. The share price of company B on day 12 is $1.16.

B. To calculate the number of shares of company A that Huixian's mother has, we can use the equation: Shares x Price = $7400. Since we know that the share price of company A on day 7 is $4.60, we can calculate the number of shares of company A by dividing $7400 by $4.60, which is 1608 shares.

To calculate the share price of company B on day 12, we can use the equation: Shares x Price = $5800. Since we know that the number of shares of company B on day 12 is 5000, we can calculate the share price of company B by dividing $5800 by 5000, which is $1.16.

Therefore, the number of shares of company A that Huixian's mother has is 2000 and the share price of company B on day 12 is $0.50.

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(1) Han ate: x(1 - 3/4) = x/4. (2) Clare skated: x(1 + 3/5) = 8/5x.

What is algebraic expression ?

An algebraic expression is a mathematical phrase that can include numbers, variables, and operations. It represents a value or a set of values, but it does not provide a specific numerical result until the variables are replaced with specific numbers.

(1) Let's say x is the number of fruit snacks Tyler ate.

Han ate 3/4 less than that, so the expression for the number of fruit snacks Han ate would be x - (3/4)x = x(1 - 3/4) = x/4.

(2) Let's say x is the number of miles Mai skated.

Clare skated 3/5 farther than that, so the expression for the distance Clare skated would be x + (3/5)x = x(1 + 3/5) = 8/5x.

(1) Han ate: x(1 - 3/4) = x/4. (2) Clare skated: x(1 + 3/5) = 8/5x.

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The best units for Kiley to report her findings are millimeters or centimeters.

Kiley is conducting an experiment to measure the change in length of a blade of grass over time. To accurately record her findings, she must choose the right units of measurement.

The best units for Kiley to use in her experiment would be millimeters or centimeters, as they provide a precise measurement of the length of the blade.

Using these units, Kiley can accurately measure and report any changes in the length of the blade of grass from day to day.

By keeping a consistent unit of measurement, she'll be able to accurately track the changes in the blade of grass' length over time.

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Therefore , the solution of fraction problem is number of guests in the dinner were 72.

A fraction is referred to as the portion of a whole in mathematics. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.

Here,

Given :

Let the number of guests be x,

2 persons shared a can of beer. 3 persons shared a jar of fruit punch. 4 persons shared a bottle of wine ++78

12+8x+6x 24

26x = 1872

x = 72

= 78

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The formula for the area of a triangle is A = bh/2.

If the base increases by 10% from b to b(1+10/100) = b(1.1) and the height increases by 10% from h to h(1+10/100) = h(1.1)

then the new area A' = (b(1.1))(h(1.1))/2

To find the percentage increase in area we can use the formula:

X% = (A'-A)/A * 100%

Plugging in the values we have

X% = (b(1.1)h(1.1))/2 - bh/2 / bh/2 * 100%

Simplifying we get

X% = (bh(1.1)^2 - bh)/(bh/2) * 100% = (1.1)^2 * 100% - 100% = 21%

Therefore, the area A increases by 21%.

I hope this helps :)

Answer:

60mm

Step-by-step explanation:

240*1/4=60mm

Answer:

40 mm

Step-by-step explanation:

Given information:

To find the length of the children's shoes, multiply the length of the adult shoes by the scale factor:

[tex]\begin{aligned}\implies 240 \times \dfrac{1}{6}&=\dfrac{240 \times 1}{6}\\\\&=\dfrac{240}{6}\\\\&=\dfrac{40 \times 6}{6}\\\\&=40\; \sf mm\end{aligned}[/tex]

Therefore, the length of the children's shoes is 40 mm.

If in parallelogram ABCD, AB = 14cm. The altitude corresponding to AB is 6 cm and the altitude corresponding to BC is 7 cm. The AD is 8.57.

Given data:

AB= 14cm

Altitude corresponding  AB =6cm

Altitude corresponding to BC =7cm

So,

1/2 × AB × altitude 1 = 1/2 × AD × altitude 2

AB × altitude 1 =AD × Altitude 2

10 × 6 = AD × 7

60 = AD × 7

AD = 60/7

AD = 8.57

Therefore we can conclude that AD is 8.57.

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The two numbers are 4 and -4, and their product is 4 * -4 = -16, which is the minimum value.

Generally, To find two numbers whose difference is 8 and whose product is a minimum, we can use algebra. Let's call the two numbers x and y. We know that:

x - y = 8 (the difference between the two numbers is 8)

To find the product of the two numbers, we can multiply x and y:

xy = x(x - 8) = x^2 - 8x

To find the minimum value of the product, we can take the derivative of this expression with respect to x and set it equal to 0:

d(xy)/dx = 2x - 8 = 0

Solving for x, we find that x = 4.

Therefore, one of the numbers is 4. We can use the equation x - y = 8 to find the other number:

4 - y = 8

y = -4

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According to the Federal Emergency Management Agency (F.E.M.A.) , In case of emergency for two people , three days , number of gallons that should be packed is 6 gallons .

During Emergency Situations as we stock food, we need to take into account the family’s unique needs and tastes.

We try to include foods that require no refrigeration, water, special preparation, or cooking are best in case of emergency .

So , by FEMA , it states that we need to store at least one gallon per person per day .

Since there are two people , so , we need 2 gallons per day ;

and for three days , it would requires [tex]2 \times 3 = 6[/tex] gallons per day .

Therefore , 6 gallons of water should be packed .

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The expected value of the number of marbles Zuri removes from the bag is the sum of the number of red marbles plus the number of blue marbles.

The expected value of the number of marbles Zuri removes from the bag is the sum of the number of red and blue marbles. This is because the expected value of an event is the sum of the probability of each outcome multiplied by the associated outcome. Since Zuri is randomly removing marbles from the bag, one at a time and without replacement, the probability of each outcome (red or blue) is equal. Therefore, the expected value of the number of marbles Zuri removes from the bag is the sum of the number of red marbles plus the number of blue marbles. This is because each marble has an equal chance of being removed and, therefore, each marble has the same expected value.

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-(24/5)x(1/2)  is the final result of the integral, tells us  that the integral of 4xy(x^2 + y^2) upon  the specified rectangular domain is explained as:

The given integral is in the form of  an iterated integral, which is known as  we need to integrate with respect to x first, and then integrate the resulting expression with respect to y.

The integral with respect to x is:

∫(4xy)(x^2 + y^2)dx from x=3 to x=0

This can be evaluated as shown below:

(2/5)(4xy)(x^3 + 3xy^2) evaluated at x=0 and x=3

= (2/5)(4xy)(0^3 + 30^2y^2) - (2/5)(4xy)(3^3 + 33^2y^2)

= 0 - (2/5)(4xy)(27 + 27y^2)

= -(24/5)xy(1 + y^2)

The integral with respect to y is:

∫( -(24/5)xy(1 + y^2)) dy from y=0 to y=1

This can be evaluated as shown below:

-(24/5)x(1/2)y^2(1+y^2) evaluated at y=0 and y=1

= -(24/5)x(1/2)1^2(1+1^2) - -(24/5)x(1/2)0^2(1+0^2)

= -(24/5)x(1/2)

hence  the final result of the iterated integral is:

-(24/5)x(1/2)

therefore it  is the final result of the integral, indicating that the integral of 4xy(x^2 + y^2) over the specified rectangular domain is -(24/5)x(1/2).

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a. The linear equation is -75x+700 which represents the situation.

b. The slope represents the rate of change in the amount owed.

c. The y-intercept represents the amount that Jeremy borrowed from his dad.

What is a linear equation?

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. The general form is y=ax+b, where a is the slope and b is the y-intercept.

a. We know that general form of an equation is y=ax+b.

So, after substituting (0,700) and (8, 100) into y=ax+b, we get,

700= 0+b

b=700

100=8a+700

a=-75

Hence, the linear equation is -75x+700 which represents the situation.

b. The slope represents the rate of change in the amount owed.

c. The y-intercept represents the amount that Jeremy borrowed from his dad.

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(5.097, 7.404) is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports. This can be solved using the concept of standard deviation.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

Because it makes measures easier to comprehend when the data is spread, standard deviation is significant. The data's standard deviation will increase as the data's distribution becomes more widely scattered. The deviation of each observed value from the mean is measured using this metric. The majority of data in any distribution will fall within a 2 standard deviation range of the mean.

Thus, (5.097, 7.404) is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports.

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The complete question is as follows:

A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers in this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports?

Find the t-table here.

(4.396, 8.104)

(4.865, 7.635)

(5.097, 7.404)

(5.245, 7.256)

The value of x is 15 units.

What are Corresponding  Angles ?

When two parallel lines are intersected by another line, comparable angles are the angles that are created in matching corners or corresponding corners with the transversal (i.e. the transversal).

For instance, angle p and angle w are the comparable angles in the image below.

Step-by-step explanation:

In the given triangle RSQ and ΔRST it is given that

∠RTS ≅ ∠SRQ ≅ 90°

∠RSQ is common in two triangles Δ RSQ and Δ RST.

Therefore two angles are equal so both the triangles are common.

From this property we opposite sides of the corresponding angles will be in the same ratio.

SR/SQ = ST/SR

x/(9 + 16) = 9/x

By cross multiplication on each side of the equation

x² = 25×9 = 225

x = √225 = 15

Therefore measurement of x is 15 units.

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Answer:

0.3

Step-by-step explanation:

Were you asking for 5% of 6? Because then you would just multiply 6 by 0.05 (because percents are always out of 100%, so converted to decimal it is out of 1) and then get 0.3

Answer: The percentage of 6 by 5 (i.e. 6:5) is 120

Step-by-step explanation:

Given: 6 by 5 i.e. 6/5

Solution: (value/ total value)* 100

hence, (6/5)*100

=1.2*100

=120.

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The given differential equation with variable separation will be cosy = -1/2 sin2x + C.

A differential equation in mathematics is an equation that connects the derivatives of one or more unknown functions.

Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.

Due to the prevalence of these relationships, differential equations are widely used in many fields, including engineering, physics, economics, and biology.

So, we have the differential equation:

csc(y) dx + sec2(x) dy = 0

We, are aware that:
csc(y) = 1/ siny

sec(x) = 1/ cosx

We can also write it:

dx/siny = dy/cos2x

Cross multiplication with variable separation:

siny dy = cos2x dx

Differentiate:
cosy = -1/2 sin2x + C

As a result, the given differential equation with variable separation will be

cosy = -1/2 sin2x + C.

Therefore, the given differential equation with variable separation will be cosy = -1/2 sin2x + C.

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Answer: -2/5 is the answer.

Step-by-step explanation:

The circle's actual diameter is given as follows:

90 inches.

The radius of a circle represents the distance between the circle of the center to any point on the circumference of the circle.

The diameter of a circle represents the distance between two points on the circumference of the circle, passing through the center.

Hence the diameter length is twice the radius length.

From the image given at the end of the answer, the radius of the circle is given as follows:

r = 45 mm.

Hence the diameter is given as follows:

d = 2r

d = 90 mm.

The scale is that each mm on the drawing represents one inch of actual distance, hence the actual diameter is given as follows:

90 inches.

The circle is given by the image presented at the end of the answer.

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To simplify the expression 3k + 9 - 2k + 11, we need to combine like terms and simplify the expression.

The first step is to combine the constants (numbers without variables)

3k + 9 - 2k + 11 = 3k - 2k + 9 + 11

The next step is to combine the variable k

3k - 2k = k

Now we have

k + 9 + 11 = k + 20

The final simplified expression is k+20

Answer:

20

Step-by-step explanation:

3k+(-2k) = 1k or just k

+9+11 = +20

= k+20

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