Which expressions are equivalent to 8(-10x+ 3.5y - 7)? Select two options.
-80x+ 24.5y-56
-80x+28y-56
80x+28y+56
4(-20x+7y-14)
-4(-20x+ 7y-14

Answer:

D i think

Step-by-step explanation:

The value of x when the Richter scale rating is 7.9, rounded to the nearest whole number, is approximately 79,432,823.

The formula relating the Richter scale rating (r) and the intensity ratio (x) is r = log(x). To find the value of x when r is 7.9, we can rearrange the formula and solve for x,

x = 10ʳ

Substituting r=7.9 into the formula, we get,

\(x = log((10)^{7.9} )\)

Using a calculator, we get,

x ≈ 79432823.09

Rounding this to the nearest whole number, we get,

x ≈ 79432823

Therefore, the value of x when the Richter scale rating is 7.9, rounded to the nearest whole number, is approximately 79,432,823.

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Complete question - What is the value of x when the Richter scale rating is 7.9 round your answer to the nearest

r=log x

r=rating of the earthquakes size on the Richter scale

x=ratio of earthquake intensity to a minimum level of intensity

The length of the real life plane is 8000 centimetres.

The scale model as a ratio is  1:2000.

A model of a plane has a length of  4 cm. The real life plane has a model of 80 m.

The length of the real life plane in centimetres is as follows:

1 metre = 100 centimetres

80 metres = ?

cross multiply

length of the real life plane in cm = 80 × 100

length of the real life plane in cm = 8000 centimetres

The scale model can be calculated as follows;

scale model = 4 / 8000

scale model = 1 / 2000 = 1:2000

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Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

Answer:

(13.0 + 0.8)

Step-by-step explanation:

I hope this helps!

The product of the numbers 4.6 and 3 in the expanded form is (13.0 + 0.8)

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

Given numbers are 4.6 and 3. The product of the two numbers will be done as below:-

4.6 × 3 = 13.8

Write the product in expanded form.

13.8 = (13.0 + 0.8)

Therefore, the product of the numbers 4.6 and 3 in the expanded form is (13.0 + 0.8).

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Answer:(6, 5)

Give me brainliest

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

1. T

2. line VW

3. W

Answer:

b. Mean, median, and mode

Step-by-step explanation:

Mean:

Sum of all salaries divided by the number of salaries.

Since all salaries will be increased by 10%, the mean will also be raised by 10%.

Median:

The 50th percentile, which is the salary that separates the upper 50% of the salaries from the lower 50th percnetile. Since all salaries will be increased by 10%, the median will also be raised by 10%.

Mode:

Most common salary, since all are raised by 10%, the mode also is increased by 10%.

Thus, the correct answer is given by option b.

Answer:

Hmm only statement?

Step-by-step explanation:

If the question mention 100 item has been sell find the sales for the item, it can be find

The area of a sector of a circle can be calculated by using the formula:

The total area of a circle can be calculated as:

To find the area of the shaded region, you need to calculate the total area of the circle and then subtract the area of the non-shaded region, as follows:

Now let's calculate the area of the non-shaded region:

The area of the shaded region will be:

Answer:

correct

Step-by-step explanation:

supplementary is when 2 angles add up to 180

Answer:

Two angles are called supplementary when their measures add up to 180 degrees.

I am sorry I don't know about the 7th one!

Answer:  Participant A

Step-by-step explanation:

if you divide 120 by 10 you would get 12 jumping jacks per minute and if you divide 140 by 14 you would get 10 jumping jacks per minute

Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn

A rectangle is a type οf quadrilateral that has its parallel sides equal tο each οther and all the fοur vertices are equal tο 90 degrees. Hence, it is alsο called an equiangular quadrilateral. Since, the οppοsite sides are equal and parallel, in rectangle, therefοre, it can alsο be termed as a parallelοgram.

Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn

check the attachment given belοw tο understand.

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Answer:

The Area of the Enclosed Region Is 64/3.

Step-by-step explanation:

As Given in Question

We have, Curve 4x+\(Y^{2}\)=12

& X=Y

Solution.

4Y+\(Y^{2}\)=12   (X=Y)

\(Y^{2}\)+4Y-12=0

\(Y^{2}\)+6Y-2Y-12=0

Y(Y+6)-2(Y+6)=0

(Y-2)*(Y+6)=0

Y=2 & -6  (X=Y)

Now at (2,2) & (-6,-6) both curves intersect each other.

The Area Of Enclosed Region is    \(\int\limits^2_{-6} [(3-Y^{2}/4 )-Y] \, dy\)

by Solving This Equation we get Area of Region = 64/3 .    

this equation Solution & Curve Diagram please see In Attachment .  

x and y have the values 7 and 7√2, respectively.

The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.

We can use this information to determine the values of x and y because the base is specified as being 7.

Let's give the perpendicular side the value of x, and the hypotenuse the value of y.

The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.

Consequently, x = 7.

We can determine that x:y:2x using the ratio of 1:1:2.

When we enter the value of x, we may calculate y:

7:y:√2(7)

Simplifying even more

7:y:7√2

Given that the hypotenuse (y) equals 72, we can write:

y = 7√2

Thus, x and y have the values 7 and 7√2, respectively.

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The assumption in answering the question is that no student scored 0

From the question, we have the following parameters that can be used in our computation:

The bar chart

On the bar chart, we hae

Students that score more than 8 = 5

Students in the class = 33

The (b) is calculated by considering all students that score more than 0 from the histogram

This means that the assumption is that no student scored 0

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The Inequality which ensure triangle exists is A. 7/4 < x < 11/2

Inequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal.

Theorem used In ΔABC,

AB + BC >AC

AC+ BC >AB

AC + AB > BC

According to the question,

In triangle ABC.

AC = 18units

BC = 6x units,

AB = 2x + 4 units

Substitute the value in the inequality to ensure triangle exists we get 7/4 < x < 11/2. The correct option is A.

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Answer:

v=0.104167m/s

Step-by-step explanation:

Given:

s=43.75

t=7min

Required:

v=?

Formula:

v=s/t

t in second

Solution:

1min=60s

7min=7*60s=420s

v=s/t

v=43.75m/420s

v=0.104167m/s

Hope this helps ;) ❤❤❤

The  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

Given the equation;

8x - 9y = 15

First, we find the x-intercepts by simply substituting 0 for y and solve for x.

8x - 9y = 15

8x - 9(0) = 15

8x = 15

Divide both sides by 8

8x/8 = 15/8

x = 15/8

Next, we find the y-intercept by substituting 0 for x and solve for y.

8x - 9y = 15

8(0) - 9y = 15

- 9y = 15

Divide both sides by -9

- 9y/(-9) = 15/(-9)

y = -15/9

y = -5/3

We list the intercepts;

x-intercept: ( 15/8, 0 )

y-intercept: ( 0, -5/3 )

Therefore, the  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

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Answer:

(C) 12

Step-by-step explanation:

To solve this problem, we can use the following steps:

Find half of 80: 80/2 = 40

Add 20 to half of 80: 40 + 20 = 60

Find one fifth of the result: 60/5 = 12

Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.

Answer:

(C) 12

Step-by-step explanation:

What is one fifth of twenty more than half of 80

0.5 × 80 = 40

What is one fifth of twenty more than half of 80

40 + 20 = 60

What is one fifth of twenty more than half of 80

1/5 × 60 = 60/5 = 12

Answer:

12.7  ==> distance of RS

24.2 ==> distance of RT

Step-by-step explanation:

Distance is always positive. So if you get a negative value, take the absolute value of the negative number:

For example, between point R and S:

-17.2 - (-4.5) =

-17.2 + 4.5 =  ==> subtracting a negative number is equivalent to adding a

                           positive number

-(17.2 - 4.5) = -12.7

-12.7 ==> |-12.7| = 12.7  ==> distance of RS

For RT:

-17.2 - 7 =

-(17.2 + 7) = -24.2

-24.2 ==> |-24.2| = 24.2 ==> distance of RT

0

Step-by-step explanation:

any number multiply by zero the answer is zero

Answer:

undefined

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2  x_1)

slope = (-3 - 4)/(6 - 6)

slope = -7/0

Since division by zero is undefined, this line has undefined slope.

Answer:

The period of function h is half the period of the parent function

vertically shifted up 4 units

vertically compressed by a factor of -3

Step-by-step explanation:

The steps involved in plotting the graph  \(h = 3cos 2x +4\) were thoroughly discussed.

Given function is:

\(h(x) = -3cos(2x-\pi )+4\\\)

The function is a rule that relates two variables.

As we know that

cos(-α) =cos α

So, \(h(x) = -3cos(\pi -2x)+4\)

Again, we know that

cos(π-2x) = -cos 2x

So, \(h = 3cos 2x +4\)

So, we have to plot the graph \(h = 3cos 2x +4\).

Step1: Plot the graph for cos x

Step2: Plot the graph for cos2x, for this replace each x on the graph of cos x by x/2.

Step3: For 3cos2x, replace the range [-1, 1] by [-3,3].

Step4: For 3cos2x + 4, shift the graph 4 units up.

Find the attached graph to understand better.

Hence, The steps involved in plotting the graph  \(h = 3cos 2x +4\) were thoroughly discussed.

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Answer:

Option d is the correct answer.

Step-by-step explanation:

tan A = 24/7

Answer:

d.) \(\frac{24}{7}\)

Step-by-step explanation:

using the sohcahtoa method, where tan A = \(\frac{opposite}{adjacent}\), our opposite side is 24, and our adjacent side is 7. our hypotenuse, the longest side, is 25. therefore, we get: d.) 24/7

1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, the amount paid for the month of June is approximately $252.75, and the amount paid for the entire year is approximately $6,144.

To calculate the amount paid for the month and the year, we need to consider the number of days covered by the insurance policy. Let's break it down step by step:

Step 1: Determine the number of days covered in June.

Since the policy doesn't go into effect until June 16th, there are 15 days remaining in June that will be covered by the insurance policy.

Step 2: Calculate the daily rate.

To find the daily rate, we divide the total cost of the insurance policy by the number of days in a year:

Daily rate = 6,144 / 365

Step 3: Calculate the amount paid for June.

The amount paid for June can be found by multiplying the daily rate by the number of days covered:

Amount paid for June = Daily rate * Number of days covered in June

Step 4: Calculate the amount paid for the year.

To calculate the amount paid for the year, we simply multiply the daily rate by 365 (the total number of days in a year):

Amount paid for the year = Daily rate * 365

Now let's perform the calculations:

Step 2: Daily rate

Daily rate = 6,144 / 365 ≈ 16.85 (rounded to two decimal places)

Step 3: Amount paid for June

Amount paid for June = 16.85 * 15 ≈ 252.75 (rounded to two decimal places)

Step 4: Amount paid for the year

Amount paid for the year = 16.85 * 365 ≈ 6,144 (rounded to two decimal places)

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The constraints involve three variables (Y, I, and Z), it is not feasible to graphically represent the entire Feasible region in three dimensions.

The linear programming model for  decision variables, objective function, and constraints.

Decision Variables:the number of gallons of frozen yogurt purchased each week as Y and the number of gallons of ice cream purchased each week as I.

Objective Function:

The objective is to maximize the total profit. The profit from frozen yogurt can be calculated as 3.60Y, and the profit from ice cream can be calculated as 4.15I. Thus, the objective function is:

Maximize Profit: Z = 3.60Y + 4.15I

Constraints:

1. Budget constraint: The total cost of frozen yogurt and ice cream should not exceed the weekly budget of $90.

  Cost Constraint: 0.75Y + 0.93I ≤ 90

2. Freezer space constraint: The total gallons of frozen yogurt and ice cream should not exceed the available freezer space of 115 gallons.

  Space Constraint: Y + I ≤ 115

3. Ice cream sales constraint: The weekly ice cream sales should be at least twice the frozen yogurt sales.

  Ice Cream Sales Constraint: I ≥ 2Y

4. Non-negativity constraint: The number of gallons for both products cannot be negative.

  Non-negativity Constraint: Y ≥ 0, I ≥ 0

The model using graphical analysis, we can plot the constraints on a graph and find the feasible region. Then, we can evaluate the objective function at each corner point of the feasible region to determine the optimal solution.

Since the constraints involve three variables (Y, I, and Z), it is not feasible to graphically represent the entire feasible region in three dimensions.

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Answer:

True

True

True

False

Step-by-step explanation:

15/18 simplified is 5/6

3/5 multiply both numerator and denominator by 20 to get 60/100

20/14 simplified is 10/7

4/13 multiply both by 2.5 to get 10/32.5 and 32.5 does not equal 32

Answer:

Step-by-step explanation:

\(\frac{5}{6}=\frac{15}{18}\)

Cross multiply

5 *18 = 15 *6

90  = 90

True. They are in proportion

\(\frac{3}{5}=\frac{60}{100}\)

Cross multiply

3*100 = 60 *5

300   = 300

True. They are in proportion

\(\frac{20}{14}=\frac{10}{7}\)

Cross multiply

20*7 = 10*14

140  = 140

True. They are in proportion

\(\frac{4}{13}=\frac{10}{32}\)

Cross multiply

4*32  = 10*13

128    ≠ 130

False. They are NOT in proportion