a function shown below g(x) = -10x-8. help ASAP

NO LINKS THEY DO NOT HELP!

Answer:

p=5c-15=p=5×5-15 =-15<p>10

Answer:

Step-by-step explanation:

All we are doing here is solving for the b in

\(y=a(b)^x\), which is the standard form for an exponential function.

Use the first 2 coordinate pairs to solve for b: (1, 6) and (2, 4):

\(6=a(b)^1\) so

\(a=\frac{6}{b}\) and use that when you write the next equation using the next coordinate pair:

\(4=\frac{6}{b}(b)^2\) which simplifies to

4 = 6b so

\(b=\frac{2}{3}\), the second choice there. Another way of saying multiplicative rate is the rate of decay or the rate of growth. Same thing. This is decay since 2/3 is greater than 0 but less than 1.

Answer:

B

Step-by-step explanation:

\(d \: = \frac{h}{24} \)

make h the subject of the formula

h = 24 d

Answer:

volume = 3549.203

Step-by-step explanation:

you need to subtract the volume of the cylinder from the volume of the box

cylinder:

\(vol=\pi r^2h\\V=\pi (5)^2(20)\\V=\pi (25)(20)\\V=500\pi\)

box:

\(vol=(length)(width)(height)\\V=(20)(16)(16)\\V=5120\)

subtract:

\(5120-500\pi =3549.203\)

If the descend starts from 12 m above the ground level, how long will it take to reach −468 m? A. 60 mins.

The gradient of the curve at the point (3,9) is 21.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

To find the gradient of the curve at the point (3,9)

we need to differentiate the equation of the curve with respect to x, and then substitute x=3 to obtain the slope at that point.

y = x²(x - 2)

Differentiating both sides with respect to x, we get:

dy/dx = 3x² - 4x

Substituting x=3, we get:

dy/dx = 3(3)² - 4(3) = 9(3) - 4(3) = 21

Therefore, the gradient of the curve at the point (3,9) is 21.

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The set builder form of the sets are

1) { | = ², where is a positive integer between 1 and 9}

2) { | = 5ⁿ, where n is a non-negative integer less than or equal to 5}

3) { | = 3, where is a positive integer between 1 and 6}

In set-builder notation, we use the curly brackets {} to enclose the elements of a set, and a rule or condition to define the elements that belong to the set.

Let's look at each of the sets given and express them in set-builder form:

{1, 4, 9,……..81}

This set contains the perfect squares of the numbers 1 to 9. To express it in set-builder notation, we can use the following rule:

{ | = ², where is a positive integer between 1 and 9}

{1, 5, 25, 125, 625, 3125}

This set contains the powers of 5, starting from 5⁰=1 up to 5⁵=3125. To express it in set-builder notation, we can use the following rule:

{ | = 5ⁿ, where n is a non-negative integer less than or equal to 5}

{3, 6, 9, 12, 15, 18}

This set contains the multiples of 3, from 3 to 18. To express it in set-builder notation, we can use the following rule:

{ | = 3, where is a positive integer between 1 and 6}

In this rule, we multiply 3 by the positive integers 1 to 6 to obtain the elements of the set.

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Complete Question:

Express the following sets in set-builder form.

1. {1, 4, 9,……..81}

2. {1, 5, 25, 125, 625, 3125}

3. {3, 6, 9, 12, 15, 18}

Answer:

B. 3

Step-by-step explanation:

Answer:

The proportion is 13 : 3  .

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

The price of carrots per ounce is $0.24 .

Ounce is an unit of mass in the Imperial System. It is widely used throughout the world and is one of the oldest units of measurement to still exist. The unit ounce is derived from uncia, a unit of measurement in roman times.

The ounce(abbreviated oz) is equal to approximately 28.35 grams and 16 ounces make up a pound.

Now it is given that a 2-pound bag of carrots cost $7.68 .

Therefore price per pound of carrots=$7.68÷2

Price per pound=$ 3.84 .

Now we know that 16 ounces make up a pound.

Price of carrots per ounce=  $3.84 ÷16

Price per ounce=  $ 0.24

Therefore the price of carrots per ounce is $0.24

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Answer:

Radius length: √5

Standard Form (Equation): (x + 4)^2 + y^2 = 5

Step-by-step explanation:

First we will determine the radius;

Center: (-4, 0)

Point on Circumference: (-2, 1)

d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2

= √4 + 1 = √5

Therefore the radius is of length √5

Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.

Answer:

its C. (x + 4)² + y² = 5

Step-by-step explanation:

edge

Answer/Step-by-step explanation:

Recall: SOH CAH TOA

✔️Find <A:

Reference angle (θ) = A

Opposite side = 14 cm

Hypotenuse = 20 cm

Apply SOH:

Sin θ = Opp/Hyp

Substitute

Sin A = 14/20

A = \( sin^{-1}(\frac{14}{20}) \)

m<A = 44° (nearest whole number)

✔️Find <C:

Reference angle (θ) = C

Adjacent side = 14 cm

Hypotenuse = 20 cm

Apply CAH:

Cos θ = Adj/Hyp

Substitute

Cos C = 14/20

C = \( cos^{-1}(\frac{14}{20}) \)

m<C = 46° (nearest whole number)

✔️Find AB:

Reference angle (θ) = C = 46°

Opposite side = AB

Hypotenuse = 20 cm

Apply SOH:

Sin θ = Opp/Hyp

Sin 46° = AB/20

20*Sin 46° = AB

AB = 14.4 cm (one decimal place)

Answer:

9 weeks before he weights 228

Answer:

1/25

Step-by-step explanation:

There are 100 cm in a meter.

100 x 2(metres) = 200

8/200 cm

Now, simplify:

4/100 -> 2/50 -> 1/25

1/25

8cm as a fraction of 2 meters ​is  \(\frac{2}{25}\) m.

The centimeter to meter conversion (cm to m) is the conversion from centimeters to meters. Centimeters are denoted by cm, whereas meters are denoted by m. However, both are used as units in the metric system to measure the length or distance.

According to the question

2 meters = 20 cm

8 cm as a fraction of 2 meters

\(\frac{8cm}{200cm}\) × \(2 m\)

So, 8 cm = \(\frac{1}{25}\) × 2 m

8 cm  = \(\frac{2}{25}\) m

Thus, 8cm as a fraction of 2 meters ​is  \(\frac{2}{25}\) m.

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Using the balance sheet figures at the beginning of the year and the income statement figures at the end of the year.

Hence,  Using the balance sheet figures at the beginning of the year and the income statement figures at the end of the year.

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The composition of transformations that map ABCD to A'B'C'D' is to rotate clockwise about the origin by 90°, then reflect over the x -axis.

The coordinates of ABCD are given in the graph as,

A is (-6, 6) , B is (-4, 6) , C is (-4, 2) and D is (-6, 2)

After transformation of ABCD the coordinates changes to A'B'C'D' and are given in graph as,

A' is (6, -6) , B' is (6, -4) , C is (2, -4) and D is (2, -6)

From comparison of the initial coordinates of ABCD to that of transformed A'B'C'D' we can get that,

A(x, y) = A'(y, x)

Thus, the coordinates are observed to rotate clockwise 90° about the origin.

Also, the coordinates after transformation are reflected over the x- axis.

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Part 1: Kate should buy 100 coats to maximize profits.Part 2: The probability that the coats sell out is 0.25 (25%), and the probability that they do not sell out is 0.75 (75%).

To maximize profits, Kate should consider the scenario where she sells all the coats without any left over at the end of the season.

Since the sales are uniformly distributed between 100 and 400, buying 100 coats ensures that she meets the minimum expected sales of 100. Purchasing more than 100 coats would increase costs without a guarantee of higher sales, potentially leading to excess inventory and lower profits.

Given that the sales are uniformly distributed between 100 and 400 coats, Kate's purchase of 100 coats covers the minimum expected sales.

The probability of selling out can be calculated by finding the proportion of the range covered by the desired sales (100 out of 300). Therefore, the probability of selling out is 100/300 = 0.25 or 25%. The probability of not selling out is the complement, which is 1 - 0.25 = 0.75 or 75%.

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The percent change in the cookies sales from Tuesday to Wednesday equals -18.2%.

Number of cookies sold on Tuesday = 132

Number of cookies sold on Wednesday = 108

Percent change between Tuesday and Wednesday sales

= Difference between the two amounts divide by the original amount Tuesday sales and then multiply by 100 to express the change as a percentage.

The difference between the two amounts is,

= 108 - 132

= -24

Negative result because the Wednesday sales were less than Tuesday sales.

Percent change from Tuesday to Wednesday is

= (-24/132) x 100%

= -18.2%

Rounding to the nearest tenth of a percent, we get,

Percent change = -18.2%

Therefore, there was a 18.2 percent decrease in sales from Tuesday to Wednesday.

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the volume of the sphere is 4186. 6 ft³

The formula for calculating the volume of a sphere shape is expressed with the equation;

V = 4/3 πr³

Such that the parameters of the formula are expressed thus;

Now, substitute the values as shown in the diagram, we have that;

Volume = 4/3 × 3.14 × 10³

Find the cube value

Volume = 4/3 × 3.14 × 1000

Multiply the value

Volume = 12560/3

Divide the values

Volume = 4186. 6 ft³

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Answer:

\( {10}^{th} \: term = \frac{5}{512} \)

Step-by-step explanation:

geometric progression formula:

\( {n}^{th} \: term = ar ^{n - 1} \)

given:

common ratio, r = 1/2

\(first \: term \: = 5\)

1) find the value of a

\( {n}^{th} \: term \: = a {r}^{n - 1} \)

we're finding the 1st term, so substitute 1 into n:

\( {1}^{st} \: term = a( \frac{1}{2} ) {}^{1 - 1} \)

first term is 5. so we substitute 5 into the equation:

\(5 = a(1)\)

\(a = 5\)

2) find the 10th term

we're finding the 10th term, so substitute 10 into the equation and don't forget to substitute 5 into a:

\( {10}^{th} \: term = 5( \frac{1}{2} ) {}^{10 - 1} \)

\( {10}^{th} \: term = 5( \frac{1}{512} )\)

\( {10}^{th} \: term = \frac{5}{512} \)

The probability that a randomly selected cup will be overfilled is approximately 0.2514 or 25.14%.

It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. A probability of 0.5 (or 50%) means that the event is equally likely to occur or not to occur.

We need to find the probability that the amount of Dr. Pepper dispensed will be greater than 32.0 oz, which can be written as:

P(X > 32.0)

where X is the amount of Dr. Pepper dispensed by the machine.

We can standardize this value by subtracting the mean and dividing by the standard deviation:

P(Z > (32.0 - 31.0) / 1.50)

Simplifying this expression gives:

P(Z > 0.67)

Using a standard normal table or calculator, we can find that the probability of a standard normal random variable being greater than 0.67 is approximately 0.2514.

Therefore, the probability that a randomly selected cup will be overfilled is approximately 0.2514 or 25.14%.

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Work Shown:

Angle PQR = (far arc - near arc)/2

2x+72 = ( (2x+252) - (2x+108) )/2

2x+72 = 144/2

2x+72 = 72

2x = 72-72

2x = 0

x = 0/2

x = 0

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

Angle PQR = 2x+72

Angle PQR = 2(0)+72

Angle PQR = 72 degrees

Answer:

b

Step-by-step explanation:

the answer is 0.7272727273 in total

Answer:

0.43    0.44     0. 84

 Step-by-step explanation:

Answer:

Step-by-step explanation:  

0.44     0. 84    0.87

Answer:

1/3 ; 10/21

Step-by-step explanation:

total sweets = 4+3+5+7+2 = 21

3.1.1

7/21 = (7:7)/(21:7) = 1/3

3.1.2

(5+3+2)/21

10/21

The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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As the sample size becomes larger, the sampling distribution of the sample means approaches a sampling distribution.

Therefore, as the sample size becomes larger, the sampling distribution of the sample means approaches a sampling distribution.

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A 3x3 matrix, the rank can be 0, 1, 2, or 3, depending on the values of the entries in the matrix.

The rank of a matrix is the number of linearly independent rows or columns in the matrix.  The rank of a 3x3 matrix can be found by performing row reduction to obtain an echelon form, and then counting the number of non-zero rows.

For example, let's consider the following 3x3 matrix:

a11 a12 a13

a21 a22 a23

a31 a32 a33

Performing row reduction, we can obtain an echelon form:

a11 a12 a13

0   a22' a23'

0   0    a33'

Here, a22' and a33' represent the pivots of the matrix, and the number of non-zero rows in the echelon form is equal to the rank of the matrix.

Therefore, for a 3x3 matrix, the rank can be 0, 1, 2, or 3, depending on the values of the entries in the matrix.

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Answer:

2586

646$ x 5% x 10 - 646

2586

Process: 646$ x 5% x 10 - 646