how do you make 8.25 a whole?
​

The rental cost in dollars per square foot is $11,00

Cost of renting 1.250 square feet = $13, 750 per month

Rental cost per square foot = Total renting cost / total renting area

= $13, 750 per month / 1.250 square feet

= $11,000

Hence, $11,000 is the rental cost in dollars per square foot.

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Answer:

5 faces

Step-by-step explanation:

Given:

Pairs of angles in options.

To find:

The angles that form  a linear pair.

Solution:

Linear pair: Two angles are called linear pair if they are lie on the same side of a straight line and their sum is 180 degrees.

In the given figure, we have two straight lines MO and NP.

Linear pairs for line MO are

\(\angle MRN\) and \(\angle NRO\)

\(\angle MRP\) and \(\angle ORP\)

\(\angle LRM\) and \(\angle LRO\)

Linear pairs for line NP are

\(\angle ORP\) and \(\angle NRO\)

\(\angle MRP\) and \(\angle MRN\)

\(\angle PRL\) and \(\angle LRN\)

So, pairs of angles in options A, B and D are not linear because they are not lie on the same side of a straight line.

Therefore, the correct option is C.

Answer:

15

Step-by-step explanation:

Let's call the number we try to find "\(x\)"

In the problem, we know that "26 is less than twice a number" is the same as "4". So we can write this as an equation:

\(2x - 26 = 4\)

Now we can solve for x by isolating it on one side of the equation.

First, we isolate "2x" by flipping "-26" to the other side, which will now be "26".

\(2x = 4 + 26\)

Then we add

\(2x = 30\)

finally, we isolate the x by dividing each side with 2

2x ÷ 2 = 30 ÷ 2
x = 15

9514 1404 393

Answer:

  14.5 square units

Step-by-step explanation:

There are several methods for finding the area of an acute scalene triangle with mostly irrational side lengths. Here's one.

Define X(4, 2) and Y(9, 2). The trapezoid XUTY has bases XU=9-2=7 and TY=6-2=4. Its height is XY=9-4=5, and its area is found from the formula ...

  A = 1/2(b1 +b2)h

  A = 1/2(7+4)(5) = 55/2 = 27.5

The area of our triangle is this trapezoid's area less the areas of triangles XUS and YTS. Those areas can be found from the formula ...

  A = 1/2bh

  ∆XUS area = 1/2(2)(7) = 7

  ∆YTS area = 1/2(3)(4) = 6

So, the area of ∆STU is ...

  area STU = area XUTY -area XUS -area YTS = 27.5 -7 -6

  area STU = 14.5 . . . square units

Answer:

the Guy above me is right ig....... To solve the problem just find the length of the 2 shorter sided than  add an exponent of 2 to all the numbers, then add, then square it

Step-by-step explanation:

Answer:

K.E = 1/2mv²

Kinetic energy

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Using the Confidence-interval formula, we get that the confidence interval for p1-p2 = 1.962.

The term "confidence interval" is used to define the degree of uncertainty surrounding a sampling technique. The probability that the parameter's true value will fall inside a given range is provided by a confidence interval.

A confidence interval estimate of a population mean is often presented as follows: = Sample mean × Standard error of Mean

Given, n1 = 210 and n2 = 141

Sample proportions that have been given are p1 = 70 and p2 = 20

difference of the estimate, p1 - p2 = 50

Confidence interval for p1-p2:

(p1 - p2)-E ≤ (p1-p2) ≤ (p1-p2) + E

Where E = z × √ (p1q1/n1 + p2q2/n2)

Z is the critical value for confidence level.

Putting the values of n1, n2, p1 and p2 we get:

Critical z value, z = 1.962

Standard Error, \(SE_{p1 - p2}\) = NaN

Therefore, ≈95% Confidence Interval:(NaN, NaN).

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Answer:

32 quarts

Step-by-step explanation:

1 gallon = 4 quarts

⇒ 8 gallons = 8 x 4 = 32 quarts

Answer:

32 quarts

Step-by-step explanation:

Khan

Answer:

Step-by-step explanation:

-5n + 1 = -24

-5n = -25

n = 5

-3(5)= -15

Step-by-step explanation:

-5n+1 = -24

-5n = -25

n = 5

-3n = 5*-3

-3n = -15

The position of the image is 42.25 cm in front of the lens. and its height is 5.64 cm and inverted.

We can use the thin lens equation to find the position of the image:

\(1/f = 1/d_o + 1/d_i\)

where f is the focal length of the lens, \(d_o\) is the object distance (distance between object and lens), and \(d_i\) is the image distance (distance between image and lens). We can solve for \(d_i\):

\(1/d_i = 1/f - 1/d_o\)

f = R/2 for a plano-convex lens with radius of curvature R, so in this case

\(f = 13 cm/2 = 6.5 cm\).

Plugging in \(d_o\) = 15 cm and f = 6.5 cm, we get:

\(1/d_i = 1/6.5 - 1/15\\1/d_i = 0.1538\\d_i = 6.5/0.1538\\d_i = 42.25 cm\)

So the position of the image is 42.25 cm in front of the lens.

To find the height of the image, we can use the magnification equation:

\(m = -d_i/d_o\)

where m is the magnification (negative for a virtual image), \(d_i\) is the image distance (which we just found), and \(d_o\) is the object distance (given as 15 cm).

\(m = -42.25/15\\m = -2.82\)

This means that the image is 2.82 times smaller than the object. Since the object is 2.0 cm tall, the height of the image is:

\(h_i = mh_o\\h_i = -2.822.0 cm\\h_i = -5.64 cm\)

The negative sign indicates that the image is inverted (upside down). So the position of the image is 42.25 cm in front of the lens, and its height is 5.64 cm and inverted.

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Step-by-step explanation:

step 1. all the side length are different therefore all of the internal angles are different.

step 2. a triangle with all different angles is scalene.

step 3. all of the angles are less than 90°

step 4. a triangle with all angles less than 90° is acute.

Answer: The description of that transformation is the triangle is rotated 90 degrees clockwise. Then, it's moved to the right TWICE. Finally, you go down 2 times.

Step-by-step explanation:

Hope this helps :)

triangle B is in dofferent orientation from triangle B so we know it was either mirrored or rotated. Triangle B isnt in the exact opposite orientation as A so we know it wasnt mirrored. So we now know that it was rotated and know we have to find the point of rotation. we can tell that the rotation was 270 degrees anti clockwise since it cant be clockwise because no points of rotation match. since we know triangle A was rotated 270 degrees anti clockwise to get triangle B we cant find the point of rotation by seeing which point works and if we test the points we will see that (0;-1) is the point of rotation. So triangle A was rotated 270 degrees anti clockwise on the point (0;-1) to make triangle B

The given expression is

Given that the numbers have the same sign, we have to sum.

The result must be negative because both numbers are negative.

Answer:

-28.73.

Step-by-step explanation:

The form that most quickly reveals the y intercept is

The y intercept is (0, 21/2)

The y-intercept is the point where a function or a curve intersects the y-axis. In other words, it is the value of the dependent variable (y) when the independent variable (x) is equal to zero.

In the form,  f(x) = 1/2 x² - 5x + 21/2 it is easier to see that eliminating x by plugging in 0 leaves 21/2 which is the y intercept

hence we can easily say that the y intercept is (0, 21/2)

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Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

Answer:

the appropriate operation count is 27 times longer than the original one.

Step-by-step explanation:

Given the data in the question;

let us consider the approximate operation count for the system of n₁ equation in n₁ unknowns as; \(\frac{2}{3}n\)₁³ Or  

O₁ =  \(\frac{2}{3}n\)₁³

so if the value of the unknowns is tripled i.e, n₂ = 3n₁,

the appropriate operation count will be;

O₂  =  \(\frac{2}{3}n\)₂³

= \(\frac{2}{3}(3n_{1})\)³

= \(\frac{2}{3}\) × 27 × n₁³

= 27(  \(\frac{2}{3}n\)₁³  )

O₂ = 27(O₁)

Therefore, the appropriate operation count is 27 times longer than the original one.

Answer:

Step-by-step explanation:

Answer:

(3x+2)(x+2)

Step-by-step explanation:

1 Split the second term in 3{x}^{2}+8x+43x

​2

​​ +8x+4 into two terms.

3{x}^{2}+6x+2x+43x

​2

​​ +6x+2x+4

2 Factor out common terms in the first two terms, then in the last two terms.

3x(x+2)+2(x+2)3x(x+2)+2(x+2)

3 Factor out the common term x+2x+2.

Answer:

C) 418 cm

Step-by-step explanation:

19*11=209

209*2=418

formula for volume= l*w*h

Can I please have Brainliest?

Answer:

c

Step-by-step explanation:

the surface area for spheres is

4 × π × r²

4 × π × (7²) = 196 π

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

10.8 miles

Step-by-step explanation:

I hope this helps!

Answer: 6

Step-by-step explanation:

Given, Jamie needs to ship 48 plates and 54 bowls to a store.

If she wants to ship the same number of items in each box such that plates and bowls are shipped separately. .

then the  greatest number of items she can ship in each box = GCD (48,54)

[GCD = Greatest common divisor]

Prime factorization of both numbers:

48 =  2 x 2 x 2 x 2 x 3

54 = 2 x 3 x 3 x 3

GCD (48,54)= 2 x 3 = 6

Hence, the greatest number of items she can ship in each box =6

Answer:6

Step-by-step explanation:

So here's the problem writen down.

48 =  2 x 2 x 2 x 2 x 3

54 = 2 x 3 x 3 x 3

GCD (48,54)= 2 x 3 = 6

Answer:

y>7

Step-by-step explanation:

y-4>3

+4     +4

y>7

The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.

The circumference of the circle traced by the tip of the minute hand is:

\(\text{C} = 2\pi \text{r}\)

\(= 2\pi (8)\)

\(= 16\pi \ \text{centimeters}\)

Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.

The distance traveled by the tip of the minute hand in 15 minutes is:

\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)

\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)

\(= 4\pi \ \text{centimeters}\)

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Answer:

4π cm ≈ 12.6 cm

Step-by-step explanation:

The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand:  r = 8 cm.

A clock face is divided into 12 equal sectors (numbered 1 to 12).

It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.

This means that 15 minutes equals 3 sectors, which is a quarter of the circle.

To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.

The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:

\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)

Simplifying, we get:

\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)

\(\sf Distance=4 \pi\)

Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.

y = 2x + 8 is the equation of the line passing through the points (-3, 2) and (-6, -4).

The point-slope form of the equation of a line can be used to determine the equation of the line passing between the points (-3, 2) and (-6, -4).

y - y1 = m(x - x1)

First, let's use the following formula to determine the slope (m):

m = (y2 - y1) / (x2 - x1)

Using the coordinates (-3, 2) and (-6, -4):

m = (-4 - 2) / (-6 - (-3))

= -6 / (-3)

= 2

We can choose either of the provided points to enter into the point-slope form now that we have the slope (m). The point (-3, 2) will be used:

y - 2 = 2(x - (-3))

y - 2 = 2(x + 3)

y - 2 = 2x + 6

y = 2x + 8

Consequently, y = 2x + 8 is the equation of the line passing through the points (-3, 2) and (-6, -4).

The equation describes a line with a slope of 2 and a y-intercept of 8 in slope-intercept form. The slope shows that the y-coordinate increases by 2 for every increase of 1 in the x-coordinate. The line's intersection with the y-axis, in this example at (0, 8), is known as the y-intercept.

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Given:

VW = 5

m∠WVX = 60 degrees

Let's find the length of arc WX.

To find the length of arc WX, apply the formula below.

Apply the formula:

Where:

r is the radius = 5

θ is the measure of the central angle = 60 degrees.

Hence, we have:

Therefore, the length of arc WX is:

ANSWER:

Answer:

There are 6 rock songs on Fernando's road trip playlist.

Step-by-step explanation:

Given that he keeps the ratio same

This means that the ratios for both summer playlist and trip playlist will be the same

Let

c1 be the country songs in summer playlist

r1 be the rock songs in trip playlist

Similarly,

c2,r2 will be the country and rock songs in trip playlist

Both will be equal so

\(\frac{c_1}{r_1} = \frac{c_2}{r_2}\)

Putting the values

\(\frac{100}{24} = \frac{25}{r_2}\\100r_2 = 25*24\\100r_2 = 600r_2 = \frac{600}{100}\\r_2 = 6\)

Hence,

There are 6 rock songs on Fernando's road trip playlist.

Answer:

6 songs

Step-by-step explanation: