The price for the jacket is $96. The discount is 31.25%. The sales tax is 9.875%. The expression that represents this situation is Where represents the final price. The first term expresses the initial price. The second term is about the discount which has to be negative. The final term is about the sales tax which must be added to have the total price.

We have the following inequality

Let's change the expression in such a way the variable b appears in the left side

Unlike equations, inequalities must attend the different comparison sign

When we flip the inequality, the comparison sign must be flipped also

Now we multiply by 10 on both sides to isolate the variable b. We get:

Simplifying the left side, and operating the right side:

This is our solution in written math form. We must graph it too. Of course, we already know the last option is the correct one

The graph form of the solution must include all number equal or greater than 60

Since the numbers increase to the right side, we must draw a line starting in 60 and pointing to the right side.

We must include two elements in our drawing: A solid dot which means the extreme is included in the solution

And an arrow meaning the solutions are not bounded

To find the angles shown we need to remember the definition of the tangent function:

In the case for angle x we notice that the opposite leg is 1 and the adjacent leg is 3, plugging this values in the equation above and solving for x we have:

In the case for angle y we notice that the opposite leg is 3 and the adjacent leg is 1, plugging this values in the equation above and solving for y we have:

Therefore, x=18.4° and y=71.6°

Answer:

y= ax^2 + bx + c although this is the quadratic form in standard form

Answer:

atq= let no.be x and y

x= 4y-3.......(1)

x-2y=7....(2)

subtracting both eqn

x-x+2y=4y-3-7

2y=4y-10

-2y= -10

y=5 ........second no.

first no...x=7+2y=7+10=17.......first no.

Step-by-step explanation:

If we take a sample of 50 students from your school and measure their height , then (c) The mean of the sample data. will be a Random Variable .

A Random Variable is a defined as a variable whose value depends on the outcome of a random event.

Option (c) : the random event is the selection of 50 students from the school to measure their height. The mean height of this sample of 50 students is a random variable because it can vary depending on the specific students who are selected.

Option (a) : The true mean height of all students from your school is a population parameter and is a fixed value, so it cannot be called as a random variable.

Option (b) : The mean of the sampling distribution of mean heights for samples of size 50 is a population parameter as well, and it represents the average of all possible sample means of size 50 taken from the population. So,  it is a fixed value and not a random variable.

Therefore , The mean of the sample data will be a random variable .

The given question is incomplete , the complete question is

Suppose you take a sample of 50 students from your school and measure their height.  Which one of the following is a random variable?

(a) The true mean height of all students from your school.

(b) The mean of the sampling distribution of mean heights for samples of size 50.

(c) The mean of the sample data.

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For the given function f(n) = 10(1.02)ⁿ domain and y-intercept is given by:

a. Domain of the growth of the function is [0 , 5].

b. Its y-intercept is given by 10.

As given in the question,

Given function f(n) to represent the height of the flower in inches  is :

f(n) = 10(1.02)ⁿ

'n' represent the number of days.

a. When the height of the flower is equal to 11.04 inches

11.04 = 10 ( 1.02 )ⁿ

Now take log function both the sides we get,

⇒ log(11.04) = log10 + nlog(1.02)

⇒1.04297 = 1 + n(0.0086 )

⇒n = ( 1.04297 - 1 )/ (0.0086 )

⇒ n = 0.04297 / 0.0086

⇒ n = 4.997

⇒ n ≈ 5 days

Domain is [0,5] days.

b. y-intercept of the function :

f(n) = 10(1.02)ⁿ

For y-intercept n = 0

f(0) = 10(1.02)⁰

⇒ f(0) = 10

y-intercept = 10

Therefore ,for the given function f(n) answer of the following questions are as follow:

a. The reasonable domain for the growth of a flower is [ 0 , 5 ] days .

b. It y-intercept is equal  to 10.

The above question is incomplete, the complete question is :

A scientist is studying the growth of a particular species of flower. He writes the following equation to show the height of the flower f(n), in inches, after days:

f(n) = 10(1.02)ⁿ

Part A: When the scientist concluded his study, the height of the flower was approximately 11.04 inches . What is a reasonable domain to plot the growth function?

Part B: What does the y-intercept of the graph of the function f(n) represent?

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Answer:

11

Step-by-step explanation:

Let the no. of helmet be x

cost of 1 helmet = $12.00

cost of x helmet = $12.00*x = $12x

Let the no. of tire pumps be y

cost of 1 tire pumps = $8.00

cost of x tire pumps = $8.00*y = $8y

Given that total no. of helmet and pump is 18

thus

x + y = 18

y = 18-x

also given

total money spent is $188

thus

12x+8y = 188

using y = 18 - x

we have

12x + 8(18-x) = 188

=> 12x+ 144 - 8x = 188

=> 4x = 188-144 = 44

=> x = 44/4 = 11

Thus, no of helmet bought by Margo is 11.

The equations are given

x(t)=t+5, y(t)=3t^2−4, where t is on the interval [−4,0].

To find the rectangular form of parametric equations

Substitute the value of t from x in y.

Then ,

The rectangular form of parametric equations is

The interval where x fall is

The integer that represents the balance owed on the credit card is -257.

The process of subtracting one number from another is known as subtraction.

Given that, the person owns $225 on the credit card.

The balance owed on a credit card is represented by a negative sign, therefore, the balance on the credit card is.

-255

The balance after making a $55 payment is,

-255 + 55

Now, the balance after purchasing stuff of $87 is,

-255 + 55 + 87

= -257

Hence, the integer that represents the balance owed on the credit card is -257.

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Answer:

-3/2

Step-by-step explanation:

Answer:

a = 104

Step-by-step explanation:

126 + 26 = 152

360 - 152 = 208

208 / 2 = 104

104 = a

Hope this helps :)

(If you need the explanation in words just let me know)

Step-by-step explanation:

Let's find

add up

You will need amount of 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.

To calculate how much butter is needed for 3 cups of flour in a recipe, start by identifying that the recipe requires a ratio of 1 cup of butter for every 2 cups of flour. To get the amount of butter needed for 3 cups of flour, multiply 1 cup of butter by 1.5. This will give you 1.5 cups of butter, which is the amount needed for 3 cups of flour.  Therefore, you will need 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.  To ensure accuracy, it is recommended to measure the ingredients carefully and double check your calculations before proceeding.

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Answer:

45  1/2

Step-by-step explanation:

The correct option is cone and plane. A conic section is the intersection of a plane and a cone. The best definition of a conic section is "cone and plane".

The definition of conic section is a conic section is a shape that is formed when a right circular cone intersects a plane. Depending on the angle of the plane concerning the center line of the cone, the conic sections are classified into four types. They are a circle, parabola, ellipse, and hyperbola. Each type of conic section has a unique shape and properties.

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Answer:

X Intercept: (6,0)

Y Intercept: (0,2)

Step-by-step explanation:

Plug y = 0 into the equation and solve the resulting equation −3x = −18 for x. Plug x = 0 into the equation and solve the resulting equation −9y = −18 for y.

9 is the value of C.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The three given angles are (3c)° 42° 111°

We need to find the value of C.

The figure might be a triangle because there are three angles.

From angle sum property , the sum of three angles of triangle is 180 degrees.

3c+42+111=180

3c+153=180

Substitute 153 from both sides

3c=27

Divide both sides by 3

c=9

Hence, the value of c is 9.

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Answer:

\(x = \ \frac{225}{13} \)

Step-by-step explanation:

explanation is in the image aboveexplanation is in the image aboveexplanation is in the image abovehope this helpsplease mark me brainiest

The  probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

Using the binomial probability formula, the probability of x successes in n independent trials with a probability of success p can be calculated as:

P(x) = (n choose x) * p^x * (1-p)^(n-x)

where "n choose x" represents the number of ways to choose x items from a set of n items, and is calculated as:

(n choose x) = n! / (x! * (n-x)!)

So, for the given parameters nequals=7, pequals=0.65, xequals=6, we have:

P(6) = (7 choose 6) * 0.65^6 * (1-0.65)^(7-6)
     = 7 * 0.65^6 * 0.35^1
     = 0.3052

Therefore, the probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.

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Answer:

The answer is b

Step-by-step explanation:

Bc it is just basicly the x and y axis

Answer: 4/15

Step-by-step explanation:

Answer:

\(\frac{4}{15}\)

Step-by-step explanation:

Number sentence: \(30x^{2}\) = \(8x\)

You can start by applying algebra to the left side of the equation by dividing each side by x. This should be how it looks now: 30x = 8

Now divide each side by 30 to keep reducing it: \(x = \frac{8}{30}\)

Now that we have \(\frac{8}{30}\), we can reduce that by dividing the top and bottom by 2:

\(\frac{8}{30} = \frac{4}{15}\).

Therefore, the number is \(\frac{4}{15}\).

Answer:

y = - 5/4x -12

Step-by-step explanation:

Original slope= (0- -4)/(5-0)=4/5

slope of perpendicular line of original = -5/4

so the line passes through the point (-8,-2)

(y - -2) = -5/4 (x - -8)

y + 2 = -5/4x - 10

y = - 5/4x -12

The equation of line u passing through the point (-8, -2) and which is perpendicular to the line y that cut the x-axis at x = 5 and y-axis at y = -4 is 5x + 4y + 18 = 0

Given that line, u passes through (-8,-2) and is perpendicular to line y

line y cut x-axis at x=5 and y-axis at y=-4

that is the point of intercept are : (x1, y1) = (5,0) and (x2, y2) = (0, -4)

Now, the equation of line = (y - y1) = m1*(x - x1)

Here m is the slope of line y

m1 = (y1 - y2)/(x1 - x2)

On solving,

m1 = (0 - (-4))/(5 - 0) = 4/5

We know that when two equations are perpendicular then the multiplication of their slopes = -1

m1 * m2 = -1

Now, m2 = -1/m1 = -5/4

Equation of line u passing through the point (-8, -2) and perpendicular to the line = (y - y1) = m2*(x - x1) =>  (y - (-2)) = -5/4*(x - (-8)

5x + 4y + 18 = 0

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Answer:

0.90x + 1.45y

Step-by-step explanation:

You put the vaiable with the price and add the 2 together to get the total.

Have a great day!

Please rate!

Answer:

It would cost 3.6 dollars to by 4 bags of trail mix and 4.35 dollors to by 3 packs of chip

Step-by-step explanation:

Let x = number of bags of trail mix

Let y = number of bags of chips

0.90x + 1.45y = the total amount

( plot the number in )
0.90(4) + 1.45(3) = the total amount

( now multiply 0.90 by 4 and 1.45 by 3 )

3.6 + 4.35

Therefore it would cost 3.6 dollars to by 4 bags of trail mix and 4.35 dollars to by 3 packs of chips

Hope it helps!

On solving the provided question, we can say that he probability there are women in positions thru and a woman in position  = 0.028

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

Choose one woman from the list of 15 and place her in position 17. Then, take seven of the remaining fourteen, and nine of the males; permute them in positions one through sixteen. Next, swap the remaining individuals in positions 18 through 25.

(15/1)(14/7)(10/9)16!8! / 25! = 0.028

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The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

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The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

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Answer:

B. 2376 Square feet

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

Answer:

3/4/7/x

Step-by-step explanation:

Answer:

d) 5

Step-by-step explanation:

we can observe that the x-value 5 appears twice in the relation. However, in a function or a relation, each x-value should only have one corresponding y-value. Therefore, the repetition of (5, 1) and (5, 2) indicates an inconsistency or ambiguity in the relation. As a result, 5 is not a valid x-value in the domain.

The ratio of f to g to h is:

1:3:5

First, we know that g is the 60% of h, then we can write:

g = 0.6*h

Now we can write the 0.6 as a fraction, then 0.6 = 3/5.

g = (3/5)*h

So we can write:

5*g = 3*h

So the ratio of g to h is 3:5

Now, we know that f is a third of g:

f = (1/3)*g

3f = g

So the ratio of f to g is:

1:3

notice that the value that represents the proportion of g is 3 in both ratios, so we can just write:

The ratio of f to g to h is:

1:3:5

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Answer:

6 ways

Step-by-step explanation:

Given

Number of Sports: 3

Required

Determine the total number of schedules

Since, there are 3 sports and the schedule is in no particular order.

The number of schedules is calculated as thus:

\(Number = n!\ ways\)

Where:

\(n = 3\)

So, we have:

\(Number = 3 * 2 * 1\ ways\)

\(Number = 6\ ways\)

Answer:

882

Step-by-step explanation:

Used excel sheet. drag numbers 0 to 65535. next row, create the base3 number of first column, select all 8 digit numbers, will be 6561. eliminate numbers with no 1 or 2 or 3. eliminate numbers with 23, 32, keeping 1 as kand, 2 as kayaking, 3 as surfing..result will be 882