Is the number 110 a prime or
composite number?

Since 1 gallon = 4 quarts → (1/2) gallons = 2 quarts

1 gallon = 8 pints → (1/2) gallons = 4 pints

1 gallon = 16 cups → (1/2) gallons = 8 cups

Therefore from the given relation with gallons we can describe the relation between the cups, quarts and pints.

(1/2) Gallon > quarts > pints > cups

If we need 1 cup of milk then a pint container will be the best choice at a grocery store.

Answer: 1  pint would because a quart has 4 cups and 1/2 a gallon would be way to much. and a pint would be 2.

Step-by-step explanation:

1 pint  would be because a quart has 4 cups and 1/2 a gallon would be way to much. and a pint would 1 cup more than you need so 1 pint is right

Answer:

I rounded to 1,591 rolls of toilet paper can fit. I have the big rolls so I may fit less than the average roll.

Step-by-step explanation:

87.96 SA Per roll

140,000 Volume for the closet.

The number of passes that john has attempted this year is 500500500 passes

To solve this exercise the percentage formula and the procedure to be applied is as follows:

n= (% * nt) / 100

Where

Information about the problem:

Using the percentage formulate and isolating the total of the number portion (nt), we get:

n= (% * nt) / 100

nt = (n*100) / %

nt = (350350350* 100) / 70

nt = 500500500

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

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Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Step-by-step explanation:

Sorry that they're sideways, it's the only way brainy would let me send them!!

Answer:

Minimum angle = 108°

Step-by-step explanation:

From the figure attached,

Minimum angle to overlap the star onto itself is the angle of rotation from point A to B.

Let the angle between A and B measure a°.

If we complete a star pentagon by joining the vertices of the star,

Formula to measure the internal angle of a polygon is,

Measure of internal angle = \(180\times \frac{(n-2)}{n}\)

Measure of ∠ABC = \(\frac{(5-2)}{5}\times 180\)

                              = 108°

Since, one side star divides the interior angle into three equal parts,

Measure of interior angle = \(\frac{108}{3}\) = 36°

From ΔAOB,

m(∠OAB) + m(∠AOB) + m(∠ABO) = 180° [Sum of interior angles of a triangle = 180°]

36° + a + 36° = 180°

a + 72° = 180°

a = 180 - 72

a = 108°

Therefore, by the minimum angle of rotation of 108° star will overlap onto itself.

The number of possible outcomes when she spins and flips a coin is 8.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The number of sections in the spinner = 4.

The number of possible outcomes in the coin = 2

Now,

The number of possible outcomes when she spins and flips a coin.

= 4 x 2

= 8

i.e

{Red, Green, Blue, Orange} x {H, T}

{Red:H, Red:T, Green:H, Green:T, Blue:H, Blue:T, Orange:H, Orange:T}

______(A)

Thus,

The number of possible outcomes from (A) is 8.

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she should use 2 by 6

Step-by-step explanation:

2 divided by 6 will give 0.3 in 1d.p

Answer:

hi

Step-by-step explanation:

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No, R is not transitive.
Explanation: A relation R on a set X is considered transitive if, for every pair of elements (x, y) and (y, z) in R, there exists a pair (x, z) in R. In this case, X = {a, b, c, d}, and R = {(a, b), (b, c), (c, a)}.

To show that R is not transitive, we need to find pairs that violate the transitivity condition. We have the pairs (a, b) and (b, c) in R, but we don't have the pair (a, c) in R. Therefore, R is not transitive.

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Answer:

$10

Step-by-step explanation:

80.05/8 friends

=10.00625

=$10

Answer:

y + 1 = 4(x - 2)

y = 4x + 11

8x - 2y = 6

Step-by-step explanation:

Following equations are parallel to the graph 4x - y = 6, because their slopes are equal (4).

y + 1 = 4(x - 2)

y = 4x + 11

8x - 2y = 6

Answer: 13932

did you mean 3.255x108 cause if so above is your answer

hope this helps.

Answer: a soda costs $4

Step-by-step explanation:

add totals and divied by each number

Answer: $4

Step-by-step explanation:

The results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.

Performing the calculation:

(10.52)(0.6721) = 7.0671992

Rounding to the correct number of significant figures, we have:

(10.52)(0.6721) ≈ 7.07

Next, let's calculate (19.09 - 15.347):

(19.09 - 15.347) = 3.743

Rounding to the correct number of significant figures, we have:

(19.09 - 15.347) ≈ 3.74

Therefore, the results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.

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Answer:

25 50 75 100 125

Step-by-step explanation:

adding extra characters bc I need 20

Answer:

50,75, 100, 125, 150

Step-by-step explanation:

25*2=50

25*3=75

25*4=100

25*5=125

25*6=150

Hope this helps!

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

The sum of the absolute deviations from the mean for the given data is 4. Answer (c) 4 is correct.

To compute the sum of the deviations from the mean, we first need to calculate the deviation of each data point from the mean. The mean is given as 7.

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 5 from the mean = |5 - 7| = 2

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 7 from the mean = |7 - 7| = 0

Deviation of 9 from the mean = |9 - 7| = 2

To find the sum of the absolute deviations, we add up the deviations from the mean:

|0| + |0| + |2| + |0| + |0| + |0| + |0| + |0| + |0| + |2| = 4

Therefore, the sum of the absolute deviations from the mean for the given data is 4. Answer (c) 4 is correct.

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The given function is \(F(x) = (x-3) * e^(-7x)\). The derivative of F(x) is\(f'(x) = 22 * e^(-7x) - 7x * e^(-7x).\)

To find the derivative of F(x), we need to apply the product rule and the chain rule. Let's break down the steps:

Using the product rule, the derivative of F(x) can be found as follows:

\(F'(x) = (x-3)' * e^(-7x) + (x-3) * (e^(-7x))'\)

The derivative of (x-3) with respect to x is simply 1, and the derivative of \(e^(-7x)\) can be found using the chain rule as\((-7x)' * e^(-7x) = -7 * e^(-7x).\)

Now we can substitute these values into the equation:

\(F'(x) = 1 * e^(-7x) + (x-3) * (-7 * e^(-7x))\)

Simplifying further:

\(F'(x) = e^(-7x) - 7x * e^(-7x) + 21 * e^(-7x)\)

Combining like terms:

\(F'(x) = (22 - 7x) * e^(-7x)\)

Therefore, the derivative of F(x) is \(f'(x) = (22 - 7x) * e^(-7x)\), as calculated using the product rule and the chain rule.

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Answer:

206.428km/hr

Step-by-step explanation:

a train travels 1445/2km in7/2 hr

the speed of the train in km/hr

=1445/2km/7/2 hr=(1445×2)/(2×7)=206.428km/hr

Answer:The answer is C

Step-by-step explanation: The prime factors of a number are all the prime numbers that, when multiplied together, equal the original number. You can find the prime factorization of a number by using a factor tree and dividing the number into smaller parts.

Hope this helped!

Given :-

To prove :-

Construction :-

Proof :-

In ∆ ABC , we have ,

As sum of two interior angles of a triangle is equal to the opposite exterior angle .

Also ,

( linear pair )

Hence from above two ,

Hence Proved !

Answer:

8 nails

Step-by-step explanation:

because 4x2=8

The equilibrium level of income (Y), interest rate (i), consumption (C), investments (I), and budget surplus can be calculated using the given equations and information. When G increases by 100, the new values for investments and budget surplus can be determined. The crowding out effect resulting from the increase in G can also be evaluated. Additionally, if the increase in G is accompanied by an increase in M/P by 100, the equilibrium level of Y and r, as well as the crowding out effect, can be determined and explained.

To calculate the equilibrium level of income (Y), we set the total income (Y) equal to total expenditures (C + I + G), solve the equation, and find the value of Y that satisfies it. Similarly, the equilibrium interest rate (i) can be determined by equating the demand for money (L) with the money supply (M/P). Consumption (C), investments (I), and budget surplus can be calculated using the respective equations provided.

When G increases by 100, we can recalculate the new values for investments and budget surplus by substituting the updated value of G into the equation. The crowding out effect can be assessed by comparing the initial and new values of investments.

If the increase in G is accompanied by an increase in M/P by 100, the equilibrium level of Y and r can be calculated by simultaneously solving the equations for total income (Y) and the interest rate (i). The crowding out effect in this case refers to the reduction in investments resulting from the increase in government spending (G) and its impact on the interest rate (r), which influences private sector investment decisions.

Overall, by analyzing the given equations and their relationships, we can determine the equilibrium levels of various economic variables, evaluate the effects of changes in government spending, and understand the concept of crowding out.

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Answer

The equation of the required line in slope-intercept form is

y = (-2x/3) + (7/3)

Comparing this with y = mx + c,

Slope = m = (-2/3)

Intercept = c = (7/3)

Explanation

The slope and y-intercept form of the equation of a straight line is given as

y = mx + c

where

y = y-coordinate of a point on the line.

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

c = y-intercept of the line.

So, to solve this, we have to solve for the slope and then write the eqution in the slope-point form which we can then simplify to the slope-intercept form

The general form of the equation in point-slope form is

y - y₁ = m (x - x₁)

where

y = y-coordinate of a point on the line.

y₁ = This refers to the y-coordinate of a given point on the line

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

x₁ = x-coordinate of the given point on the line

The point is given as (x₁, y₁) = (-4, 5)

Then, we can calculate the slope from the information given

Two lines with slopes (m₁ and m₂) that are perpendicular to each other are related through

m₁ × m₂ = -1

From the line given,

y = (3/2)x - 2

We can tell that m₁ = (3/2), so, we can solve for m₂

(3/2) (m₂) = -1

m₂ = (2/3) (-1) = (-2/3)

We can then write the equation of the given line in slope-intercept form

y - y₁ = m (x - x₁)

y - 5 = (-2/3) (x - (-4))

y - 5 = (-2/3) (x + 4)

y - 5 = (-2x/3) - (8/3)

y = (-2x/3) - (8/3) + 5

y = (-2x/3) + (7/3)

Hope this Helps!!!

Answer:

50

Step-by-step explanation:

70+60 =130

180-130 = 50 degrees

Answer: 50

Step-by-step explanation: Every triangle is 180 degrees so add the 60 and the 70 to get 130. 180-130=50. So 50 is your answer.

Answer:

84

Step-by-step explanation:

Transformations

We are given the coordinates of point A=(-1,4).

A transformation (x-4,y+1) is applied. This means the x-coordinate is subtracted 4 and the y-coordinate is added 1 to get the point A' = (-1-4,4+1) = (-5, 5)

Now it's required to reflect A' over y=4

The vertical distance from the point to y=4 is 5-4 = 1.

Thus, we subtract 2*1 = 2 to the y-coordinate to get A'' = (-5,5-2) = (-5,3)

The final coordinates of the original point are (-5,3)