(25) One half of a number decreased by 3 is at most -5. Which of the following inequalities represents the statement above? A) -—-n-35-5 B) 3- 3--215-5 C) 1-3​

The supplied question's response based on the savings account is A geometric sequence is the sequence f.

A geometric sequence is a set of numbers where each term is obtained by multiplying the one before it by a predetermined quantity known as the common ratio. The following is the generic formula for a geometric sequence:

\(a, ar, ar^2,ar^3,ar^4,...\)

There are two types of geometric sequences: finite and endless. While an infinite geometric sequence has no end, a finite geometric sequence has a set number of terms.

Because each term is created by multiplying the term that came before by a constant ratio of 1.1, the sequence f is a geometric sequence. (which accounts for the interest that has accrued on the preceding balance using the formula 1 + 0.1).

The first term is for $70, and each succeeding term is equal to the first term times 1.1. As a result, the nth term of the series can be

written as: \(f(n)=\$ \times 1.1^{n-1}\)

where n is how long it has been since the first year of saving.

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Answer:

8 1/4

Step-by-step explanation:

10 2/4 - 2 1/4= 8 1/4 . you have to find what 1/2 is in 10 1/2 which turns into 2/4 and then you do 10 2/4 - 2 1/4 and you subtract because it dropped in altitude which ends up with 8 1/4 miles

The 70 meters by 50 meters rectangular field having a path with an area of 104 m² around it indicates that the width of the path, found using the quadratic formula is about 0.43 meters.

The quadratic formula is a formula that is used to find the values of x that are the solutions to the the the quadratic equation of the form, a·x² + b·x + c = 0.

The length of the rectangular field = 70 meters

The width of the rectangular field = 50 meters

The width of the path around the field = Uniform width

Area of the path around the field = 104 m²

Let x represent the width of the path, we get;

(70 + 2·x) × (50 + 2·x) - 70 × 50 = 104

4·x² + 240·x = 104

4·x² + 240·x - 104 = 0

The quadratic formula which can be used to find the value of x in the equation a·x² + b·x + c = 0, is presented as follows;

\(x = \dfrac{-b\pm \sqrt{b^2-4\cdot a \cdot c} }{2\cdot a}\)

Comparing the equation 4·x² + 240·x - 104 = 0 to the quadratic equation for the quadratic formula; a·x² + b·x + c = 0, we get;

a = 4, b = 240, c = -104

Therefore;

\(x = \dfrac{-240\pm \sqrt{240^2-4\times 4 \times (-104)} }{2\times 4}\)

x ≈ 0.430 or x ≈ -60.4

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9514 1404 393

Answer:

  6.75 square units

Step-by-step explanation:

The formula for the area of a rectangle of base 'b' and height 'h' is ...

  A = bh

The formula for the area of a triangle of base 'b' and height 'h' is ...

  A = (1/2)bh

That is, the area of a triangle is half the area of a rectangle with the same base and height. Here, the area of the triangle is ...

  (1/2)(13.5 square units) = 6.75 square units

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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To determine which objects hold the same amount of liquid as a 96-fluid-ounce jug, we need to convert each of the given measurements to fluid ounces and then add them up. Here are the conversions:

Two 1-quart bottles = 64 fluid ounces (2 x 32)

Two 1-pint bottles = 32 fluid ounces (2 x 16)

One 1-quart bottle and eight 8-ounce fluid glasses = 96 fluid ounces (32 + 8 x 8)

So, the objects that hold the same amount of liquid as a 96-fluid-ounce jug are:

One 1-quart bottle and eight 8-ounce fluid glasses

Three 1-quart bottles

Therefore, the correct answer is:

one 1−quart bottle and eight 8−ounce fluid glasses

three 1−quart bottles

"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.

Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:

x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2

x-coordinate of Q = (0 + 2a) / 2 = a

So, we know that the x-coordinate of point Q is a.

To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:

y - c = (0 - c) / (2a - 0) * (x - 0)

Simplifying this equation gives:

y - c = -c/2a * xy = -c/2a * x + c

Substituting x = a in this equation gives:

y = -c/2a * a + cy = -c/2 + cy = c/2

So, we know that the y-coordinate of point Q is c/2.

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Answer:

Cheap; Bad

Step-by-step explanation:

According to the experience in the real world.

The volume of the pyramid is 576 cubic inches.

To find the volume of a square base pyramid, you can use the formula:

Volume = (1/3) x base area x height

In this case, the side of the square base is given as 12 inches, and the height is given as 12.5 inches.

First, calculate the base area of the pyramid:

Base area = side²

= 12²

= 144 square inches

Now, substitute the values into the volume formula:

Volume = (1/3) x 144 x 12.5

Volume = 576 cubic inches

Therefore, the volume of the pyramid is 576 cubic inches.

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Answer:

5(x + 3)

Step-by-step explanation:

the sum of x and 3 is x + 3, then multiply by 5 to obtain

5(x + 3)

Answer: the slope of the line is 0

Step-by-step explanation:

Answer:g(x)=-4^2+4x-5

Step-by-step explanation:

Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

Answer :

\(\boxed{\textsf {The red area is the required answer . }}\)

Step-by-step explanation:

A linear inequality in two variables is given to us and we need to plot it's graph .So the the given inequality is ,

\(\sf\implies y \geq- \dfrac{1}{5}x +5 \)

So firstly let's simplify out the inequality for easy plotting of the graph .

\(\sf\implies y \geq- \dfrac{1}{5}x +5 \\\\\sf\implies y \geq \dfrac{-x+5(-5)}{5}\\\\\sf\implies y \geq \dfrac{-x-25}{5}\\\\\sf\implies y \geq -(1)\dfrac{x+25}{5}\)

Now let's put some values of x to get values of y .

• Firstly put x = 0 then we get , y is greater than or equal to 0+5/5 (-1) = 5/5(-1) = -1 . Hence we get y ≥ (-1) .

• Secondly put x = 1 , then we get , y is greater than or equal to 1+5/5(-1)=6/5(-1) = -6/5 . Hence we get y ≥ -6/5 .

• Thirdly put x = -1 , then we get y is greater than or equal to -1+5/5(-1) = -4/5 . Hence we get y ≥ -4/5

• Fourthly put x = (-5) , then we get y is greater than or equal to -5+5/5(-1) = 0 .Hence we get y ≥ 0 .

With reference to these let's plot a graph . For the graph kindly refer to the attachment :) .

Here in the graph the red area shows the possible values of x and y .

Answer:

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.

Sara should expect a paycheck of $91.80 from her first full of work.

In the question, we are given that Sara just started her first job as an assistant at an after-school child care center. She works 12 hours a week and makes $9 per hour. She has been told that 15% of her paycheck will be deducted for federal, state, and local taxes.

We are asked for the amount that Sara should expect her paycheck of, from her first full week of work.

The time for which Sara works weekly = 12 hours.

The per hour earning of Sara = $9.

Thus, the total earnings after working for 12 hours at the rate of $9 per hour is 12*$9 = $108.

Now, the deduction is given to be 15%.

Thus, the total deduction = 15% of $108 = $16.20.

The amount on the paycheck = The total earnings less the deduction,

or, the amount on the paycheck = $108 - $16.20 = $91.80.

Thus, Sara should expect a paycheck of $91.80 from her first full of work.

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Answer:

The area of the living room is 20x20 or 400 square feet

the area of the dining room is 15x10 or 150 square fee

The sum of the areas of the two rooms is 400+150 or 550 square feet of carpeting

Hope that helps :)

Have a wonderful day!

Answer:

the area of the living room is 20 x 20 or 400 square feet the area of the dining room is 10 x 15 or 150 square feet the sum of the two rooms is 400 + 150 or 550 square feet of carpeting

Step-by-step explanation:

The cost of each pound of grass seed is $6.

A graph of the solution for the cost of each pound of grass seed is shown below.

In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.

Let the variable x represent the cost of each pound of grass seed.

Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;

3.6x + 1.30 = 22.90

3.6x = 22.90 - 1.30

3.6x = 21.60

x = 21.60/3.6

x = $6.

In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.

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Answer:

too hard for my little brain so bye

Step-by-step explanation:

87,959 ==> 88,000 is the nearest hundred

The answer is:

Work/explanation:

When rounding to the nearest hundredth, round to 2 decimal places (DP).

Which means we should round to 5.

5 is followed by 9, which is greater than or equal to 5. So, we drop 9 and add 1 to 5 :

87. 96

The linear function is given as follows:

\(y = \sqrt{x} + 4\)

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

y = mx + b

In which:

The y-intercept is of 4, hence the parameter b is given as follows:

b = 4.

The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:

m = tan(60º)

\(m = \sqrt{3}\)

Thus the function is given as follows:

\(y = \sqrt{x} + 4\)

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The volume of this rectangular prism is equal to: B. 8 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Since this rectangular prism is filled with 16 cubes and each cube is a 1/2 inch cube, the dimensions of the rectangular prism is given by;

Dimensions = 16 × (1/2)³ = 2inches.

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have the following;

Volume of rectangular prism = 2 × 2 ×  2

Volume of rectangular prism = 8 cubic inches.

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Complete Question:

A rectangular prism is filled with 16 cubes. Each cube is a 1/2 inch cube. What is the volume of the rectangular prism?

A. 2 in³

B. 8 in³

C. 16 in³

D. 32 in³

Answer:

512

Step-by-step explanation:

To determine how many 1" x 1" x 1" cubes can fit into an 8" x 8" x 8" box, we need to calculate the volume of the box and then divide it by the volume of a single cube.

The volume of the box is calculated by multiplying its length, width, and height:

Volume of the box = 8" x 8" x 8" = 512 cubic inches.

The volume of a single cube is 1" x 1" x 1" = 1 cubic inch.

To find out how many cubes can fit, we divide the volume of the box by the volume of a single cube:

Number of cubes = Volume of the box / Volume of a single cube

Number of cubes = 512 cubic inches / 1 cubic inch

Number of cubes = 512

Therefore, 512 cubes that are 1" x 1" x 1" can fit into an 8" x 8" x 8" box.

Answer:

$52.79

Step-by-step explanation:

$48.88 + 8% = $52.79