Solve the equation. If necessary, enter your answer as an reduced improper fraction.
h +9 = 16

Answer:

the answer is D. 38.15

Step-by-step explanation:

the lunch meat is 5.50 for 5lbs. She only needs 2 1/2 lbs so you would just divide 5.50 by 2 (because 2 1/2 is half of 5). for the soft drinks, it is 9.99 for 3 so each one 3.33 (divide 9.99 by 3). When you add two more to get five cases in total, you get 16.65 (because 9.99 plus 3.33 plus 3.33 = 16.65). the lunch meat is 4.25 each and you need 3 so you just multiply 4.25 by 3. the snack mix bags are 2 for 1.50 each. that means that two is 3.00. you need four so you just do 3.00+3.00 which equals 6. when you add these totals together, you get 38.15

Answer: ITS 100% D.)12

Step-by-step explanation:

2x * 12 = 24 = 36

3x * 13 = 36

therefore, x= 12

hope this was helpful :D

brainliest plz?

Answer:

12

Step-by-step explanation:

its either 12 or 18 try 12 first

a) 8 vehicles are expected to use the e-zpass. b) The mode of the distribution is 9.

a)

Here it is given that 70% of vehicles use e-zpass. Since 12 vehicles are randomly selected, the above will be a case of a binomial distribution.

The number of vehicles expected to pass would be the expectation of the distribution

= no. of vehicles X probability of a vehicle having an e-zpass

= 12 X 70/100

= 8.4

= 8

b)

Here we need to find the mode of the distribution. For ths we will make use of a binomial table

In the binomial table we will look for values with n = 12 and p=0.7

Here we see that the maximum probability given is 0.24 which is in correspondence to r = 9.

Hence the mode of the distribution will be 9.

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Complete Question

Image Attached

Answer: You would have to know the number of yards separate from his neighbors yard to get the answer.

Step-by-step explanation:

For example if his yard was 50 yards from his neighbors than you would add that to the width. Length plus width to get your answer.

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30 + 40 - 60

70 - 60

10

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Answer:10

Step-by-step explanation:

30  + 40 -60    Step one combine like terms  all +  and all -

= 70  -  60    Which is bigger + or  -    in thi question + is bigger

= 10                So you subtract    70

                                                  - 60                                                                

                                              _____________

                                                      10

Answer:32m

Step-by-step explanation:

So you would have to divide 160 and 5 and it would equal 32

Answer:

ITS 15 THANK ME LATER!!!!

Step-by-step explanation:

Answer:

M = 1/5

Step-by-step explanation:

Part a: The four layers can be stacked up to 1,000.

Part b: Most common value of x in this population $0 gift .

Part c: P(x ≥ 25) = 0.30.

Part d: P(x > 0) = 0.60

Part a: It is also anticipated that the students will donate nothing, or around 1000 x 0.40 = 400 of both.

To donors 10, about 1000 x 0.30 = 300.

1000 x 0.25 = 250 donors who gave $25, and 1000 x 0.05 = 50 donors who gave $50.

Its frequencies would approximate the likelihood but not exactly.

The four layers can be stacked up to 1,000.

Part b:

A $0 gift is the population's key value of x in point b, and 40% of students make this choice.

Part c: P(x ≥ 25)

P(x ≥ 25) = 0.25 + 0.05

P(x ≥ 25) = 0.30

Part d: P(x > 0)

P(x > 0) = 1 - P(x = 0)

P(x > 0) = 1 - 0.40

P(x > 0) =0.60

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9514 1404 393

Explanation:

A function is a relation that maps a given input to one output. The relation can be expressed as a set of ordered pairs: (input, output). Those ordered pairs can be presented as a set, a table, a graph, or an equation.

__

Finding the value of a function means determining the output for a given input. When the function is specified by a table, the output value is read from the table at the point where the input value matches the desired input.

In the table in the first attachment, the value of the function for an input of 5 is found in the "output" column on the row where the "input" is 5. That function value is 55.

__

A function can also be specified by a graph. The input is the found on the horizontal axis of the graph, and the output value is found on the vertical axis. The graph itself is the locus of all points giving the output for a given input. The value of the function is found by locating the desired input value on the horizontal axis, and finding the vertical coordinate of the point on the graph that is on that same vertical line. For the graph at the second attachment, an input value of 6 corresponds to an output value of 120.

__

When the function is specified by an equation, the input value replaces the independent variable in the equation, and the result is simplified. A numerical input often (but not always) results in a numerical output. A literal input may result in a literal expression as the function's output value.

For example, consider the function ...

  f(x) = 3x +2

An input of x=2 will be found to give an output of ...

  f(2) = 3(2) +2 = 8 . . . . 8 is the function value

An input of 2b will give an output of ...

  f(2b) = 3(2b) +2 = 6b +2 . . . . a literal expression is the function value

Answer:

\(\sin 2x = \frac{24}{25}\) , \(\cos 2x = \frac{7}{25}\), \(\tan 2x = \frac{24}{7}\)

Step-by-step explanation:

The sine, cosine and tangent of a double angle are given by the following trigonometric identities:

\(\sin 2x = 2\cdot \sin x \cdot \cos x\)

\(\cos 2x = \cos^{2}x -\sin^{2}x\)

\(\tan 2x = \frac{2\cdot \tan x}{1-\tan^{2}x}\)

According to the definition of sine function, the ratio is represented by:

\(\sin x = \frac{s}{r}\)

Where:

\(s\) - Opposite leg, dimensionless.

\(r\) - Hypotenuse, dimensionless.

Since \(x\), measured in sexagesimal degrees, is in third quadrant, the following relation is known:

\(s < 0\) and \(y < 0\).

Where \(r\) is represented by the Pythagorean identity:

\(r = \sqrt{s^{2}+y^{2}}\)

The magnitude of \(y\) is found by means the Pythagorean expression:

\(r^{2} = s^{2}+y^{2}\)

\(y^{2} = r^{2}-s^{2}\)

\(y = \sqrt{r^{2}-s^{2}}\)

Where \(y\) is the adjacent leg, dimensionless.

If \(s = -3\) and \(r = 5\), the value of \(y\) is:

\(y = \sqrt{(5^{2})-(-3)^{2}}\)

\(y = -4\)

Then, the definitions for cosine and tangent of x are, respectively:

\(\cos x = \frac{y}{r}\)

\(\tan x = \frac{s}{y}\)

If \(s = -3\), \(y = -4\) and \(r = 5\), the values for each identity are, respectively:

\(\cos x = -\frac{4}{5}\) and \(\tan x = \frac{3}{4}\).

Now, the value for each double angle identity are obtained below:

\(\sin 2x = 2\cdot \left(-\frac{3}{5} \right)\cdot \left(-\frac{4}{5} \right)\)

\(\sin 2x = \frac{24}{25}\)

\(\cos 2x = \left(-\frac{4}{5} \right)^{2}-\left(-\frac{3}{5} \right)^{2}\)

\(\cos 2x = \frac{7}{25}\)

\(\tan 2x = \frac{2\cdot \left(\frac{3}{4} \right)}{1-\left(\frac{3}{4} \right)^{2}}\)

\(\tan 2x = \frac{24}{7}\)

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

x= -2/3 or x=-2/3y

Step-by-step explanation:

i assume this meant solve for x

start by setting the y value as 0 then isolate the x

The inflection point of the function S(t) is given as follows:

(28.57, 0.155).

The inflection points of a function are the values of x at which the second derivative of the function assumes a value of zero.

In the context of this problem, the function is defined as follows:

\(A(t) = Atpe^{-kt}\)

Replacing the numeric values of the parameters into the function, the definition is:

\(A(t) = 0.04te^{-0.07t}\)

Applying the product rule, the first derivative of the function is:

\(A^{\prime}(t) = 0.04e^{-0.07t} - 0.0028te^{-0.07t}\)

The second derivative is the derivative of the first derivative, hence:

\(A^{\prime\prime}(t) = -0.0028e^{-0.07t}  -0.0028e^{-0.07t} + 0.000196te^{-0.07t}\)

\(A^{\prime\prime}(t) = -0.0056e^{-0.07t} + 0.000196te^{-0.07t}\)

The second derivative is zero when:

\(-0.0056e^{-0.07t} + 0.000196te^{-0.07t} = 0\)

\(0.000196te^{-0.07t} = 0.0056e^{-0.07t}\)

Simplifying the exponential:

0.000196t = 0.0056

t = 0.0056/0.000196

t = 28.57.

The output is:

\(A(28.57) = 0.04(28.57)e^{-0.07 \times 28.57} = 0.155\)

Hence the coordinates are:

(28.57, 0.155).

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The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

The number of times that decimal point must be moved to obtain a number between 1 and 10 is the exponent in scientific notation. The decimal point is shifted to the left in order to represent this number in scientific notation.

The main goal of scientific notation is to simplify computations using numbers that are abnormally large or small. With scientific notation, every digit counts because zeros are just no longer used to denote the decimal point.

Given expression:

715,000 __ 7.15 x 10⁵

LHS = 715,000

Take the RHS value :

= 7.15 x 10⁵

This, can be simplifies as:

= 7.15 x 100,000

Now multiply the two values,

= 715,000 (RHS values)

as, LHS  = RHS

LHS = 715,000

715,000 (RHS values)

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

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Answer:

Quadrilateral: 20.5 units

Triangle: 8.6 units

Step-by-step explanation:

Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.

Perimeter = AB + BC + CD + DA

where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.

In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).

Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:

\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)

\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)

\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)

\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)

Therefore, the perimeter of the quadrilateral is:

Perimeter = AB + BC + CD + DA

= \(4+5+2\sqrt5+7=20.5\) units

Triangle

The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:

Perimeter = AB + BC + CA

where AB, BC, and CA are the lengths of the three sides of the triangle.

In your case, the coordinates of the vertices of the triangle are

E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:

\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)

\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)

\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)

Therefore, the perimeter of the triangle is:

Perimeter = EF + FG + EG

= 4 + 1 + \(\sqrt{13}\)

=8.6 units

Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units

Answer:

The spinning swings will have 10 more riders each hour.

Step-by-step explanation:

1. If 25 riders ride the race car every 30 mins, that would mean each hour 50 riders ride the race car.

2. If 20 riders ride the spinning swings every 20 mins, that would mean each hour 60 riders ride the spinning swings.

Lets say 4 hours have passed. We could say 25 × 8. I don't know if this would make sense but there would be 8 30 mins in 4 hours. If you multiply 25 × 8 you would get 200 riders riding the race cars in 4 hours.

Lets do the same thing with the spinning swings. There are 12 20 mins in 4 hours. So we could do could do 20 × 12. That would equal 240 riders riding the spinning swings in 4 hours.

So if the race cars got 200 riders in 4 hours, each hours they will have 50 riders. And If the spinning swings got 240 riders in 4 hours, each hour they got 60 riders. So that would mean the spinning swings got more riders each hour. They also got 10 more riders each hour. Hopefully I didn't confused you.

Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).

Probability is a measure of the likelihood or chance that a particular event or outcome will occur. It is expressed as a value between 0 and 1, where 0 represents an event that is impossible to occur, and 1 represents an event that is certain to occur.

To solve this problem, we can use the formula for the standard deviation of the sample mean:

Standard deviation of sample mean = standard deviation / √(sample size)

Plugging in the given values:

Standard deviation of sample mean = 7 / √(31)

Next, we can calculate the z-score, which is the number of standard deviations the sample mean is below the population mean:

z-score = (sample mean - population mean) / standard deviation of sample mean

Plugging in the given values:

z-score = (141.5 - 145) / (7 / √(31))

Using a calculator, we find that the z-score is approximately -2.22.

Finally, we can use a standard normal distribution table or a calculator to find the probability that a z-score is less than -2.22.

Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).

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Answer:

B) 10 cm

Step-by-step explanation:

Hello!

We can use the Pythagorean theorem to solve for the hypotenuse.

Formula: \(a^2 + b^2 = c^2\)

We can plug in the values for each leg to solve for the hypotenuse.

The answer is Option B: 10 cm

Answer:

75 yards

Step-by-step explanation:

375/5=75

Answer:

1.2×10⁸ is greater than 6×10³ by a factor of 2×10⁴, or 20000.

Step-by-step explanation:

You can solve this simply by dividing the first one by the second one:

\(\frac{1.2\times 10^8}{6\times 10^3} \\\\= \frac{1.2}{6} \times \frac{10^8}{10^3} \\\\= \frac{12}{6} \times \frac{10^7}{10^3} \\\\= 2.0 \times 10^4 \\\\\)

The equation in slope-intercept form to find the height is y = 0.75x + 5 and the number of years it will take the tree to reach 20 feet is 24

The given parameters in the question are

Growth = 9 inches per year

Length of the tree after 4 years = 5 feet

Convert inches to feet

So, we have

Growth = 0.75 feet per year

A linear equation of this scenario is represented as

Length = Growth * Number of years + Initial length

So, we have

y = Growth * x + Initial length

This gives

5 = 0.75 * 4 + Initial length

Evaluate

Initial length = 2

So, the equation is

y = 0.75x + 2

This means that

y = 20

Recall that

y = 0.75x + 2

So, we have

0.75x + 2 = 20

Evaluate

0.75x = 18

Divide by 0.75

x = 24

Hence, the number of years is 24

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The measure of angle MTU m∠MTU is 114 degree.

From the figure in the diagram:

Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.

Since, angle STU composes or is the sum of angle STM and angle MTU.

To find angle MTU, simply subract angle STM from angle STU.

m∠STU = m∠STM + m∠MTU

Hence:

m∠MTU = m∠STU - m∠STM

Plug in the given values and simplify

m∠MTU = 145° - 31°

Subtract 31 from 145

m∠MTU = 114°

Therefore, angle MTU measure 114°.

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The solution set of this inequality is {x| x > -6.1}

Here we have the inequality:

2x + 8 > -4.2

To find the solution set, we need to isolate the variable x in one of the sides of the inequality. Doing that we will get:

2x + 8 > -4.2

2x > -4.2 - 8

2x > -12.2

x > -12.2/2

x > -6.1

So the set of all numbers larger than -6.1, this in number form is:

{x| x > -6.1}

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Answer:

I believe that 2, 4 and 5 are correct

Step-by-step explanation:

Answer:

C. A = 0.5*d1*d2

D. A = bh

Step-by-step explanation:

The area of the rhombus can be found depending on what information is made available to us.

If given the lengths of the two diagonals (d1 and d2) of a rhombus which bisect each other, therefore, the formula for finding the area would be:

A = 0.5*d1*d2

Also, if we are given the height (h) and side (b), the formula to use would be:

A = bh