Help me please !!!!!!!!!!!!!!

Answer:

x = 15

Step-by-step explanation:

Step 1: Write out equation

1/4x - 7/4 = 2

Step 2: Add 7/4 to both sides

1/4x = 15/4

Step 3: Divide both sides by 1/4

x = 15

Answer:

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

Step-by-step explanation:

Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product.  You get 7((x-2)(3x+4))

Answer:

The length of the hypotenuse of each right triangle is approximately 12.7 inches, rounded to the nearest tenth.

Step-by-step explanation:

Let's start by finding the length of one side of the square posterboard.

Since the perimeter is 36 inches, and a square has four equal sides, we can divide the perimeter by 4 to get the length of one side:

36 ÷ 4 = 9

So each side of the square posterboard is 9 inches long.

When Miranda cuts the posterboard along a diagonal, she forms two right triangles. Let's call the length of the hypotenuse of each right triangle "c".

We can use the Pythagorean theorem to find the length of "c":

a² + b² = c²

Since the posterboard is a square, each of the legs of the right triangle has a length of 9 inches.

9² + 9² = c²

81 + 81 = c²

162 = c²

c ≈ 12.7

So, the length of the hypotenuse of each right triangle is approximately 12.7 inches, rounded to the nearest tenth.

the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins,

how to solve probability

If the spinner has 12 equal parts and 2 of them are yellow, then the probability of the spinner landing on yellow is 2/12, or 1/6. This means that out of every 6 spins, we can expect the spinner to land on yellow once.

To find the best prediction for the number of times the spinner will land on yellow if it is spun 72 times, we can use the idea of expected value. The expected value of an event is the average value we would expect to see if the event were repeated many times.

In this case, the expected value of the number of times the spinner will land on yellow in 72 spins is simply the probability of landing on yellow multiplied by the number of spins:

Expected value = Probability of yellow x Number of spins

Expected value = (1/6) x 72

Expected value = 12

Therefore, the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins, we can expect the spinner to land on yellow approximately 12 times on average. However, it's important to remember that this is just a prediction based on probability, and the actual number of yellow spins may vary.

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Answer:

Step-by-step explanation:

Answer:13

Step-by-step explanation:

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

C. The object moves in the direction of the stronger force.

Step-by-step explanation:

A.) The object remains stationary.

- Cannot be since an outside force is applied, the net force is uneven, making the object move

B.) The object moves with the same velocity.

The object at rest has the velocity of 0m/s and since an outside force is exerted the object moved.

C.) This statement is correct since the object moved towards the direction the force is applied.

D.) Another wrong statement; unbalanced force is applied, the object moved.

Answer:

C

Step-by-step explanation:

i did the test too lol

The mean absolute deviation (MAD) of the data set is equal to 180.625.

The mean absolute deviation of a data set is to find the average distance of each observation of the data set and the mean of the data set.

Mean absolute deviation = 1/n ∑ absolute value of (xi - x bar)

x bar =average value of the given data set

n= total number of data set

xi = data value in a given set

According to the question,

x bar = sum of all the data set / total number of the data set

x bar = 2052/16 = 128.25

Substitute the value in the formula, we have

Mean absolute deviation = 2890/16 = 180.625

Hence, the Mean absolute deviation of the data set is equal to 180.625.

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As per the given data, the Mean absolute deviation (MAD) of the data set is equals to 17.5

The term Mean absolute deviation in math is defined as the average distance of each observation of data set  and the mean of the data set.

Here we have given the following data.

=> 13, 0 , 14 , 36, 18, 9

Then the mean of the data is calculated as,

=> (13 + 0 + 14 + 36 + 18 + 9)/6

=> 90/6

=> 15

Now, we have to the Substitute the value in the formula, we have

And then the Mean absolute deviation is calculated as,

=> (90 + 15)/6

=> 105/6

=> 17.5

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Answer:

The measure of the vertex angle is 94 degrees ⇒ A

Step-by-step explanation:

∵ In an isosceles triangle, the measure of the base angle = (2x + 5)

∵ The base angles of the isosceles triangles are equal in measures

∴ The measures of the base angles are (2x + 5), (2x + 5)

∵ The measure of the vertex angle = (5x - 1)

∵ The sum of the measure of the three angles = 180°

∴ (2x + 5) + (2x + 5) + (5x - 1) = 180

→ Add the like terms in the left side

∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180

∴ 9x + 9 = 180

→ Subtract 9 from both sides

∴ 9x + 9 - 9 = 180 - 9

∴ 9x = 171

→ Divide both sides by 9 to find x

∴ x = 19

→ Substitute the value of x in the measure of the vertex angle to find it

∵ The measure of the vertex angle = 5x - 1

∴ The measure of the vertex angle = 5(19) - 1

∴ The measure of the vertex angle = 95 - 1

∴ The measure of the vertex angle = 94°

∴ The measure of the vertex angle is 94 degrees

9514 1404 393

Answer:

  14.  F -3.5 ≤ x

  15.  D x > -5

  16.  E -2 > x

Step-by-step explanation:

If the circle is open, the inequality will not include the "or equal to" case. That is, the symbol will be < or >. If the circle is a solid dot, then the symbol will be ≤ or ≥.

When shading is to the right, the variable values are greater than the limit. When shading is to the left, variable values are less than the limit.

___

14. The limit is -3.5, and the dot is solid. The expression will be ...

  x ≥ -3.5   or   -3.5 ≤ x . . . . . matches choice F

__

15. The limit is -5, and the dot is open. The expression will be ...

  x > -5   or   -5 < x . . . . . matches choice D

__

16. The limit is -2, and the dot is open. The expression will be ...

  x < -2   or   -2 > x . . . . . matches choice E

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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The range of the given equation is [-1, infinity).

We are given that;

Equation  y= underroot(x+5​)

Now,

The domain of this equation is the set of x values that make the expression under the square root non-negative.

That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).

The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.

Therefore, by the range the answer will be [-1, infinity).

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The probability of advancing five spaces is 0.2307.

Given that, the odds in favor of advancing five spaces are 3/10.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

The probability of advancing five spaces can be obtained as:

P =Odds/1+Odds

= \(\frac{\frac{3}{10} }{1+\frac{3}{10} }\)

= \(\frac{\frac{3}{10} }{\frac{13}{10} }\)

= 3/13

= 0.2307

Therefore, the probability of advancing five spaces is 0.2307.

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The \(y\) and \(x\) axes in the above graph are compared to how much money Jon and Steve have, respectively. Thus, \(y=6+x\) is the pictorial representation.

A graph is referred to as a mathematical construct that connects a collection of points to express a certain function. A pairwise link between the items is established using it. The lines that link the graph's vertices (also known as nodes) are its vertices (lines).

A common technique for graphically showing data linkages is the graph. Although takes up less space, a graph accomplishes the goal of conveying which is either too many more and complicated to be completely stated in the words.

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Answer:

-2/3

Step-by-step explanation:

-5/8 divided by 15/16 is the same thing as (-5 x 16)/ (8 x 15)

This will give you -80/120, which can be simplified to -2/3 by dividing both the numerator and denominator by 40.

The value of quotient in fraction form,

⇒ - 2/3

The given expression is,

⇒ -5/8 divided by 15/16

We can find the quotient in fraction form,

⇒ -5/8 divided by 15/16

It can be written as,

⇒ - 5/8 ÷ 15/16

⇒ - 5/8 × 16/15

⇒ (- 5 x 16) / (8 × 15)

⇒ - 80 / 105

⇒ - 2/3

Therefore, the quotient in fraction form,

⇒ - 2/3

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The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

Answer:

  a) $5176 periodic deposit

  b) $98,344 comes from deposits; $31,656 comes from interest.

Step-by-step explanation:

a) A suitable annuity formula can tell you the deposit required to achieve a particular future value.

  FV = P((1+r)^n -1)/r

For a future value of FV from a periodic payment of m for n periods compounded at rate r per period.

Here, FV = $130,000, r = 0.03, n = 19, so the payment P is ...

  P = FV·r/((1+r)^n -1)

  P = $130,000(0.03)/(1.03^19 -1) ≈ 5176.80

The periodic deposit is $5176.

__

b) So, 19 deposits of $5176 have a value of ...

  19 · $5176 = $98,344

This is the amount that comes from deposits.

The remaining amount, $130,000 -98,344 = $31,656, is the amount that comes from interest.

Answer:

The null hypothesis is \(H_0: \mu = X\)

The alternate hypothesis is \(H_1: \mu \neq X\)

Step-by-step explanation:

Mean of X in 1990, test if the mean duration has changed:

At the null hypothesis, we test if the mean duration is still X, that is:

\(H_0: \mu = X\)

At the alternate hypothesis, we test if the mean duration has the changed, that is, if it is different of X. So

\(H_1: \mu \neq X\)

Answer: -4

Step-by-step explanation:

\(\frac{a}{4} +3=2\)

Start by subtracting 3 from both sides

\(\frac{a}{4} +3=2\\\frac{a}{4} +3-3=2-3\\\frac{a}{4} =-1\)

Now multiply each side by 4

\(\frac{a}{4} =-1\\\frac{a}{4}(4) =-1(4)\\a =-4\\\)

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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The coordinates of point A are (2, 0, 5).

Then the correct option is the fourth one.

The general notation for a point on 3 dimensions is (x, y, z).

First, notice that the vertical axis is the Z-axis, the axis that points towards us is the x-axis, the axis that points to the right is the y-axis.

First, we can see that the x-value of A is x = 2.

The z-value of A is z = 5.

And A lies on the plane x_z, then the y-value is y = 0.

Then the coordinates of point A are (2, 0, 5).

So the correct option is 4.

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The DJ will charge them $575.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given that,

Booking fee for DJ = $350

Rate for an hour = $45

Let x be the number of hours DJ is lasting.

Expression to find the total charge for x hours is 350 + 45x.

The Martins want to book the DJ for a party that will last 5 hours.

Cost for the DJ party for Martins = 350 + (45 × 5) = $575

Hence the cost for the DJ party booked by Martins is $575.

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Answer:

Because the Length is 5 times the width, L(length) = 5w. You can use this information to update your perimeter.

P= L + W

P= 5w + w = 6w

P = 120, 120= 6w

120/6 = 6w/6

20 = w

L = 5w, L = 5(20) = 100

A = L x W, 100 x 20 = 2000

This means 2000 is the area

The slope of the line is -23

The line’s equation is given in point-slope form:

y − 6 = (−23)(x + 6)

The line’s equation in point-slope is represented as:

y − y1 = m(x - x1)

Where

m represents the slope

By comparing y − y1 = m(x - x1) and y − 6 = (−23)(x + 6), we have

m = -23

Hence. the slope of the line is -23

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The sum of the interior angles of a regular polygon with 9 sides will be 1260°. The correct option is A.

An angle is defined in mathematics as the figure formed by joining two rays at their common endpoint. An interior angle is an angle that exists within a shape. Polygons are closed shapes with sides and vertices. All of the interior angles of a regular polygon are equal.

Given that the number of the sides of the polygon is 9. The sum of the interior angles of the polygons will be calculated as,

Sum = ( n - 2 ) 180°

Sum = ( 9 - 2 ) 180

Sum = 7 x 180

Sum = 1260°

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Answer: its 23 meters

Step-by-step explanation:

The volume of a sphere with a diameter of 6.2 in is 39.72π

The volume of a sphere is defined as the total amount of capacity applied in a sphere that can be calculated using the volume formula for the sphere which is V = (4/3)πr3.

The radius of the sphere is;

\(\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{6.2}{2}\\\\Radius=3.1\)

The volume of the sphere is;

\(\rm Volume =\dfrac{4}{3}\pi r^3\\\\Volume =\dfrac{4}{3}\pi (3.1)^3\\\\Volume = 39.72\pi\)

Hence, the volume of a sphere with a diameter of 6.2 in is 39.72π.

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The amount of dry ingredients used in the cake recipe is approximately 7 cups.

To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.

3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.

2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.

1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.

Adding these amounts together, we get:

3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

To the nearest cup, this is equal to 7 cups.

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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