whats 7x in algebraic expression

Answer:

A. 12 ft², 16 ft², and 20 ft²

Step-by-step explanation:

Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

Answer:

Gracias por favor

Step-by-step explanation:

Answer:

67°

Step-by-step explanation:

In a parallelogram, the opposite angles are always equal to each other.

Answer:

The answer is 32

Step-by-step explanation:

The formula for finding the area of a trapezoid is:

         ((base 1 + base 2)/ 2 )* h

Now all you have to do is substitute the numbers in.

Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.

Answer:

32 square units

Step-by-step explanation:

\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)

Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.

Given:

Quadrilateral A has side lengths 6,9,9, and 12.

Quadrlateral B with its shortest side length 2.

Required:

(a)Scale factor.

(b)Perimeter of qaudrilateral B.

Explanation:

We have the quadrilateral A with its side lengths 6,9,9, and 12.

Also, the shortest length of side of quadrilateral B is 2.

(a) The scale factor can be calculated by dividing the shortest length of side quadrilateral A by the shortest length of side of quadrilateral B.

Therefore, scale factor is,

Hence, the lengths of sides of quadrilateral B are, 2,3,3, and 4.

(b) The perimeter (P) of quadrilateral B is the sum of lengths of all its sides given by,

Final Answer:

(a)The scale factor is, 3.

(b)The perimeter of quadrilateral B is 12.

As per the given data, to enable the drain pipe to carry 60 liters per second, there needs to be a 66.67% increase in the diameter of the drain pipe.

We must comprehend the link between the carrying capacity and the area of the pipe's cross-section in order to calculate the percentage increase in the drain pipe's diameter required to make it capable of carrying 60 litres per second.

The cross-sectional area of the pipe directly relates to its carrying capacity. This implies that the carrying capacity will grow if the cross-section's area increases.

Q ∝ A

Q1/A1 = Q2/A2

A2 = (Q2/Q1) * A1

A2 = (60/36) * A1

A2 = (5/3) * A1

Percentage increase = (A2 - A1)/A1 * 100

Percentage increase = [(5/3) * A1 - A1]/A1 * 100

Percentage increase = (2/3) * 100

Percentage increase = 66.67%

Thus, the answer is 66.67%.

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Trigonometry functions are functions that relate two sides of a given triangle with one of its included angles.

The expression that shows the distance that he walked = x + y + 100

                                                                 = 87 + 50 + 100

                                                                 = 237 yards

Trigonometry functions are functions that relate two sides of a given triangle with one of its included angles. The required function may be a sine function, a cosine function, or a tangent function.

Such that;

The given question can be solved by applying the appropriate trigonometric function.

So that to determine the value of x, we have:

Cos θ = \(\frac{Adjacent}{Hypotenuse}\)

Cos 30 = \(\frac{x}{100}\)

⇒ x = 100 cos 30

      = 100 x 0.866

x = 86.60

Thus, the start of the sidewalk is approximately 87 yards.

To determine the value of sidewalk y, we have:

Sin θ = \(\frac{Opposite}{Hypotenuse}\)

Sin 30 = \(\frac{y}{100}\)

⇒ y = 100 x Sin 30

      = 100 x 0.5

   y = 50

Thus the sidewalk which represents the end of the path is 50 yards.

Therefore, the total distance that he walked = 100 + 87 + 50

                                                                 = 237 yards

The expression that shows the distance that he walked = x + y + 100

                                                                 = 87 + 50 + 100

                                                                 = 237 yards

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Answer:

The proportion of the sample that does not have a two-year or four-year college degree is 0.7355.

Step-by-step explanation:

Sample of 310 people.

186(only high school) + 42(only some college) did not have have a two-year or four-year college degree.

So

\(p = \frac{186+42}{310} = 0.7355\)

The proportion of the sample that does not have a two-year or four-year college degree is 0.7355.

Answer: h = 22.5

Step-by-step explanation:

Total angle area of a 12 sided polygon is 1800

1. One angle would be 1800/12= 150

2. Add 30 one each side to cancel out and only leave 8h.

3. To get rid of the 8 we divide the the other side by 8.

The answer is 22.5

Answer: D 22.5 i got it right on the exam

Step-by-step explanation:

Answer: 31 i think

Step-by-step explanation:

Answer:

1st one is b.  2nd one is A

Step-by-step explanation:

i did the quiz

Answer:

2x - 6x = -5-5

-4x = -10

4x = 10

x = 10/4

Therefore, x= 5/2.

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

The expression sin2x is a trigonometric expression

The equivalent of sin2x is (d) 2sinxcosx

The expression is given as:

sin2x

Rewrite properly as:

sin(2x)

To solve the expression, we make use of the following double angle ratio

sin(2a) = 2sin(a)cos(a)

Substitute x for a in the above equation

sin(2x) = 2sin(x)cos(x)

Rewrite the equation as

sin2x = 2sinxcosx

Hence, the equivalent of sin2x is (d) 2sinxcosx

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Answer:

D

Step-by-step explanation:

A P E X

Answer:

There is enough evidence to support the claim that students in the California state university system take significantly longer to graduate than students enrolled in private universities (P-value = 0.0007).

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that students in the California state university system take significantly longer to graduate than students enrolled in private universities.

Then, the null and alternative hypothesis are:

\(H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0\)

The significance level is α=0.05.

The sample standard deviation is take into account and performed a two sample t-test. The 100 students are considered to be divided equally between state and private.

The sample 1 (state), of size n1=50 has a mean of 4.5 and a standard deviation of 0.8.

The sample 2 (private), of size n2=50 has a mean of 4.1 and a standard deviation of 0.3.

The difference between sample means is Md=0.4.

\(M_d=M_1-M_2=4.5-4.1=0.4\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{0.8^2+0.3^2}{50}}\\\\\\s_{M_d}=\sqrt{\dfrac{0.73}{50}}=\sqrt{0.015}=0.121\)

Then, we can calculate the t-statistic as:

\(t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.4-0}{0.121}=\dfrac{0.4}{0.121}=3.3104\)

The degrees of freedom for this test are:

\(df=n_1+n_2-1=50+50-2=98\)

This test is a right-tailed test, with 98 degrees of freedom and t=3.3104, so the P-value for this test is calculated as (using a t-table):

\(\text{P-value}=P(t>3.3104)=0.0007\)

As the P-value (0.0007) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that students in the California state university system take significantly longer to graduate than students enrolled in private universities.

Answer:

solving for b is b ≤ 15/2 - 3d/10

solving for d is d ≤ 25 - 10b/3

The amount in year 6 is $1282.5.

What is simple interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

rate of interest = 7%

time = 1 year

Amount on first year = $950

First we will calculate simple interest for 5 years, because amount is available for 1 year.

SI =PRT

SI = 950(7/100)1

SI = $332.5

Therefore, the amount after 6 years = 950+332.5

=$1282.5

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Step-by-step explanation:

1st one is x>-16

second one is x<-16

here

in second option

x/-4 > 4

or, -x/4>4

or, -x>16

this is incorrect cause how can a negative number possibly be greater than a positive number

so we trun it to

x<-16

niw

last option is x>16

The range is the best measure of variability for this data, and its value is 4.

The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).

The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:

Range = Maximum value - Minimum value = 4 - 0 = 4

Therefore, the range is the best measure of variability for this data, and its value is 4.

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The most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

Number is an abstract concept used to count or measure something. It is present in many aspects of our lives, from counting the number of people in a room to measuring a distance between two points. Numbers are also used to represent information and to quantify facts. We use numbers in mathematics, science, engineering, business, and many other fields. Numbers are also used in everyday life, such as for telling time, counting items, and measuring distances.

The most reasonable explanation for why Medera received zero calls between the hours of 3pm and 5pm is that Medera turned the phone off while playing in a soccer game. This can be seen by looking at the histogram, which shows that there were zero calls received around this time, while Medera was likely playing in the game. The graph also shows that Medera usually receives a cluster of calls at certain times. This is also evidence that she turned her phone off while playing in the game, as it would be unlikely that she would receive no calls if her phone was still on. Additionally, it is unlikely that Medera's phone can only receive 22 calls a day, as this would be an unusually low limit. Furthermore, it is unlikely that Medera lost her phone for two hours, as this would not explain why there were zero calls received. Therefore, the most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.

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The hours when no calls were received were most likely when Madera turned off the phone while practising soccer.

According to the question,

Madera, a middle school student, got phone calls from 10 a.m. to 10 p.m. on one Saturday.

From the scenarios presented, the one that would suggest this would be when Medera turned off his phone while playing soccer. This is because, her phone was turned off, it was not receiving any phone signal, which meant that no inbound calls were received during that time. Medara lost her phone for two hours, but even though she didn't have it with her, the phone was still on and connected to a network, indicating that calls were still streaming.

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Answer:

I suppose it has 4 digits.

Step-by-step explanation:

The fractional equivalent of the repeating decimal would be 15/99.

Answer:

  -1

Step-by-step explanation:

Twice a number: 2n.

15 less than the number: n-15.

The sum of those: (2n) +(n-15) = 3n-15.

__

The difference between -19 and the number: -19-n

__

These values are the same, so we have ...

  3n -15 = -19 -n

  4n = -4 . . . . . . . . add n+15 to both sides

  n = -1 . . . . . . . . .  divide by -4

The number is -1.

Answer:

20

Step-by-step explanation:

There is 6-2 =4 years between them

24-4 =20

The sister is 20

Answer: 20 years old

Step-by-step explanation: So, we know the girl is 4 years older than the sister...how do we know that? Because...

6 - 2 = 4

She's 4 years older...we know the girl is 24, then the sister must be 20.

24 - 4 - 20...

The sister is 20 years old, I hope this helps

Answer:

420 = 4.2 x 100 = 4.2 × 102

Step-by-step explanation:

The diameter of the circle is 8, because the diameter is twice the radius. The circumference of the circle is 25.1327, because the circumference is calculated using the formula C = 2πr, where r is the radius and π is approximately equal to 3.14.

Answer:

46.2

Step-by-step explanation:

Because starting from the decimal point, 2 is the tenth, 3 is the hundreth and so on and so forth.