Subtract 3.70 from each side of the equation. Then, divide both sides of the equation by the coefficient of m.
37.50 = 3.70 + 2.60m

37.50 −
= 3.70 − 3.70 + 2.60m

= 2.60m


2.60
=
2.60m
2.60


= m

Answer:

36

Step-by-step explanation:

The equation would turn out as 23--13

But when there are two negatives, it turns into a positive, creating the equation of 23+13

Then you add to equal 36.

Answer:

the answer is B) 24.

Step-by-step explanation:

To find the lateral surface area of the triangular prism, we need to find the perimeter of the base and then multiply it by the height of the prism.

Looking at the net, we can see that the base is a triangle with sides of length 3 cm, 4 cm, and 5 cm. So the perimeter of the base is:

3 cm + 4 cm + 5 cm = 12 cm

The height of the prism is given as 2 cm. Therefore, the lateral surface area is:

12 cm x 2 cm = 24 cm²

So the answer is B) 24.

IF THIS HELPED, CAN YOU PLEASE GIVE 5⭐? thank you

Answer:

55

Step-by-step explanation:

Just add the right side. 40 + 15

Answer:

2250mm

Step-by-step explanation:

first half the length is going to remain the same while the width changes so we divide the width by 2 to find half the width which is 25 then we say 25 × 90 = 2250

3 is the digit in the ten places of 33,300.

The ten-place digit is the second digit from the right in a whole number.

To find the digit in the ten places of 33,300, we need to divide the number by 10 and then take the remainder when divided by 10.

33,300 divided by 10 is 3,330 with a remainder of 0.

So the digit in the ten places of 33,300 is 3.

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Given:

Find:-

The range of the exponential function represented by this graph

Explanation-:

The range of graphs is:

So, the range is:

S

Answer:

\(x<-\frac{31}{2}\)

Step-by-step explanation:

Example: Triangles like ABC and EDC are similar by SAS similarity, because angle C is congruent in each triangle, and AC/EC = BC/DC = 2. By the definition of similarity, it follows that AB/DE = BC/EF = AC/DF = 2.

The answers are

1). warmer

2). higher

3). end behavior

A refrigerator is a device which is designed to remove heat from a space that is at lower temperature than its surroundings.

When Gianna initially placed the two cups in the refrigerators, the liquid placed in refrigerator A was warmer than the liquid placed in refrigerator B.

The end behavior of the two functions implies that refrigerator A is set to a higher temperature than refrigerator B.

The graph for the question given below.

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The given matrix :

Subtraction of matrix is possible by subtracting the element of another matrix if they have the same order.

The expression (A-B)-C:

Answer:

sigma should be used

Step-by-step explanation:

Given that The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years.

The above given is for sample of 27 size.

For hypothesis test to compare mean of sample with population we can use either population std dev or sample std dev.

But once population std deviation is given, we use only that as that would be more reliable.

So here we can use population std deviation 1.4 only.

If population std deviation is used we can use normality and do Z test

Hope this helps ;)

Answer:

A) 781.3

Step-by-step explanation:

To find the volume of the cone, you must first find the radius and height of the cone. Which is 7km (radius) and 14km(height).

Next use the formula (Which is in the picture since it's too hard to type out on here)

I also would of explained it but I found it easier just to type it out (In the file attached below)

Finally the answer is 781.3 km

Hope this helps

The sketch of the front elevation and the side elevation of the prism are added as an attachment

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

The prism

Using the figure as a guide, we understand that:

The front elevation is a rectangle of 2m by 0.5m

While the side elevation is a rectangle merged with a trapezoid

Next, we draw the elevations (see attachment)

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Answer:

13/15

Step-by-step explanation:

i took the test :)

The measure of arc angle QTP is 204 degrees.

When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Therefore, let's find the measure of arc angle QTP as follows:

90 = 0.5(x - 68)

90 = 0.5x - 34

0.5x = 124

x = 124 / 0.5

x = 248 degrees

Where

x = arc angle TSQ

Therefore,

arc QP = 44 degrees

Therefore,

arc QTP = 248 - 44

arc QTP = 204 degrees

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The amount of money Trevon had last Friday⇢$29

The total amount of money he has after cleaning the attic⇢$41

So,

The amount of money he received after cleaning the attic ⇢ Total money he has after cleaning the attic - The money he had last Friday

Thus ,he received $ 12 for cleaning up the attic.

The cost of the game ⇢$30.98

The amount of money she gave to the cashier ⇢$40

The amount she'll receive back⇢ the amount of money she gave to the cashier - the cost of the game

Hence , she'll receive $ 9.02 back from the cashier.

Answer:

Given:

To calculate the money Trevon received for cleaning the attic over the weekend, we need to find the difference between the money he started with and the money he now has.  To find the difference, subtract the smaller number from the bigger number:

⇒ Money Trevon received = Money he has now - money on Friday

                                             = $41 - $29

                                             = $12

Therefore, Trevon received $12 for cleaning the attic over the weekend.

Given:

To calculate the change Jenny received from the cashier, we need to find the difference between the two amounts.  To find the difference, subtract the cost of the game from the money Jenny gave to the cashier:

⇒ Change = money given - cost of game

                 = $40 - $30.98

                 = $9.02

Therefore, Jenny received $9.02 in change from the cashier after paying for a game that costs $30.98 with $40.

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

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The students should draw the conclusion that the data might have been caused by the genetic connection if the null hypothesis is rejected.

Given information;

The students determine a crucial value of 7.82 and compare it to a chi-squared value of 92.86.

Which of the following results in the chi-square goodness-of-fit test being most complete?

The null hypothesis can be rejected, and the students should conclude that the data may have resulted from the genetic linkage.

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Answer:

x+5

Step-by-step explanation:

3(x+4)-(2x+7)

1. Distribute 3 to x and 4

3x+12-2x+7

2. Distribute the "-" to 2x and 7

2x+12-2x-7

3. Subtract 7 from 12

3x+12-2x-7

3x+5-2x

4. Combine like terms

3x+5-2x

1x+5

Answer:

x+5

Answer: 2500

Step-by-step explanation: If you calculate out 5x6 that equals 30 and 5x5-5 equals 20, when you do 30+20 that equals 50 and 50 to the 2nd power is 50x50 and that would equal 2500

Answer:

C. 891.

Step-by-step explanation:

This is a regular nonagram ( has 9 sides) so the area is the sum of 9 congruent triangles.

Area of a triangle = 1/2 * base * height

Area of 1 triangle in this  polygon = 1/2 * 12 * 16.5

Area of the polygon = 9 *  1/2 * 12 * 16.5

=  891

The slope and the y-intercept of the line y = 4x + 5 are given as follows:

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

The function for this problem is given as follows:

y = 4x + 5.

Hence the slope and the intercept are given as follows:

The problem asks for the slope and the intercept of y = 4x + 5.

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The correct option is that the data are nearly symmetric.

Data is graphically represented using a histogram. Rectangles with an area equal to the frequency of the data and a width equal to the class interval make up the histogram. When employing a population sample, standard deviation is thought to be the most acceptable measure of variability.

The histogram would be skewed to the right if the mean was higher than the median. The histogram would be skewed to the left if the mean was lower than the median. As seen from the graph the data are nearly symmetric is a correct statement.

Therefore, the correct statement is that the data are nearly symmetric.

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Answer:

if we want to find the maximum or minimum of a function, there are some methods, like see where the derivate is equal to zero and such.

Now, if we have a constraint, for example x> 4

This obviously changes the domain of the possible points where we can find the extremum.

But particularly, we can check at x  = 4 and see it there is a maximum.

if the constraint is x > 4, then then we may found a upper/lower bound.

if the constraint is x ≥ 4, then we may find a maximum/minimum.

Now, when we work with more complex situations, like find the maximum value of f(x) while we have the constraint g(x) = x^4 + x^3 + x^2 = 5

Then the domain will be equal to the intersection of the domains of both functions:

This means, the only possible values that we can input in f(x) to search the extremes, are the values of x such that x^4 + x^3 + x^2 = 5, so this relation defines our new domain (remember that f(x) also may have problems in some values of x, this is why we take the intersection of the domains of f(x) and g(x))

This means that constraints can limit a lot the domain of our functions.

From the solution;

x = 62.62°

y = 8.9 cm

The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.

By the use of the sine rule;

a/Sin A = c/Sin C

Sin C = cSin A/a

C = Sin-1(cSin A/a)

C = Sin-1(7.8 * sin 66.4/9.2)

C = 50.98°

B = 180 - (50.98° + 66.4)

B = 62.62°

Then;

a/Sin A = b/Sin B

9.2/Sin66.4 = b/Sin 62.62

b = 9.2 * Sin 62.62/Sin66.4

b = 9.2 * 0.89/0.92

b = 8.9 cm

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

  B. The graph of K has a greater y-intercept

  D. The graph of J has a greater slope.

Step-by-step explanation:

Given a table for function J and an equation for function K, you want to know which has the greater slope, and which has the greater y-intercept.

The y-intercept is the value of the function when x=0. We see from the table that y=2 corresponds to x=0 for function J.

We see from the equation for function K that the constant is 8. This is the value of y when x=0.

Function K has the greater y-intercept (8 vs. 2).

The slope is the change in y-value when x increases by 1 unit. We see from the table that y=7 when x=1, so the change in y from x=0 to x=1 is 7-2 = 5. The slope of function J is 5.

The equation for function K has an x-coefficient of 3. This means a change in x of 1 unit will result in a change in y of 3 units. The slope of function K is 3.

Function J has the greater slope (5 vs. 3).

Additional comment

Both functions are graphed in the attachment. The y-intercepts have their points labeled. The graph with the steeper slope is the blue line, function J.

Answer:

Effie Trinket is a fictional character, and is the escort of the District 12 tributes, accompanying them to the District, including Katniss Everdeen and Peeta Mellark, being an advisor to the pair. By the end of Mockingjay, she is the only Escort from the 74th and 75th Hunger Games alive after the Second Rebellion.