A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent

Answer:

E. 24 units³

Step-by-step explanation:

the volume = 4×3×2 = 24

Using the distance formula, \(CA=\sqrt{(-2-0)^2 +(2-0)^2}=\boxed{2\sqrt{2}}\).

Answer:

C

Step-by-step explanation:

All sides make a cube

Answer:

D

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

He would need to by 9 boxes. There might be some left over pencils.

The rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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

John drove from here to San Antonio which is 180 miles away in 3 hours.

This means that

Distance = 180 miles

Time = 3 hours

Using the above as a guide, we have the following:

Speed = Distance/Time

Substitute the known values in the above equation, so, we have the following representation

Speed = 180/3

Evaluate

Speed = 60

Hence. the rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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Answer:

How many grams are in 2.2

kilograms?

The solution is

Step-by-step explanation:

There are 2,200 grams in 2.2 kilograms.

There are 1,000 grams in one kilogram.

So, to convert kilograms to grams, you multiply the number of kilograms by 1,000.

To find out how numerous grams are in2.2 kilograms, you would multiply 2.2 by 1,000

So, 2.2 kilograms x 1,000 grams/ kilogram

= 2,200 grams

So, there are 2,200 grams in 2.2 kilograms.

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To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:

7x + 21 = 7x + 35

Subtracting 7x from both sides, we get:

21 = 35

This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.

However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.

Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:

7(5 - 3) = 14

Therefore, the missing number is 14, which corresponds to answer option B.

let's firstly convert the mixed fractions to improper fractions and then get their difference.

\(\stackrel{mixed}{5\frac{3}{4}}\implies \cfrac{5\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{23}{4}} ~\hfill \stackrel{mixed}{1\frac{5}{8}}\implies \cfrac{1\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{13}{8}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{Saturday and Sunday}}{\cfrac{23}{4}}~~ - ~~\stackrel{Saturday~only}{\cfrac{13}{8}}\implies \cfrac{(2)23~~ - ~~(1)13}{\underset{\textit{using this LCD}}{8}}\implies \underset{Sunday~only}{\cfrac{33}{8}\implies 4\frac{1}{8}}\)

we know that in parallelogram diagonals bisect each other. So.

TX = VX

c + 30 = 16c

16c - c = 30

15c = 30

c = 30 / 15

c = 2

The value of c should be 2 so that it makes a parallelogram.

It took approximately 151 seconds to decrease 9 ft water in conical tank.

The volume of a conical tank with vertex down and radius 8 ft and height 20 ft is V = (1/3)πr²h

When the water is 9 ft deep

= (1/3) ×3.14×(8)²×(9)

= 602.88 ft³

We know that the rate of change of volume is 4 ft³/sec. So, the rate of change of depth can be calculated as follows:

Rate of change of depth (dh/dt) = Volume of tank/4 ft³ per sec

= 602.88/4

= 150.72 sec

Therefore, it took approximately 151 seconds to decrease 9 ft water in conical tank.

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The distance between point T (-5, 1) and point I (-1, 1) is 4 units.

To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):

x1 = -5, y1 = 1 (coordinates of point T)

x2 = -1, y2 = 1 (coordinates of point I)

Plugging these values into the formula, we have:

Distance = √((-1 - (-5))² + (1 - 1)²)

        = √(4² + 0²)

        = √(16 + 0)

        = √16

        = 4

Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.

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Answer:

D

Step-by-step explanation:

Prob D 4 - 2y

The probability that the cupcake picked at random contains walnuts is given as follows:

0.4 = 40%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:

30.

The number of cupcakes with walnuts is given as follows:

Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:

p = (3 + 9)/30

p = 12/30

p = 0.4.

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Answer:

-2 , -1,  2,  5

Step-by-step explanation:

Answer:

-2,-1,2,5

Step-by-step explanation:

The little lines through the 4 sides mean all the sides are the same length.

The area is side x side = 8 x 8 = 64 square cm.

Perimeter is the sum of the 4 sides = 8 + 8 + 8 +8 = 32 cm.

Answer:

Perimeter

P =a+a+a+a =4a

P = 4*8

P=32cm

Area

A = a*a = \(a^{2}\)

A = \(8^{2}\)

A = 64\(cm^{2}\)

Answer:

27.84?

Step-by-step explanation:

17.4*1.6

Answer:

\(\pm24\)

Step-by-step explanation:

To find the geometric mean of two numbers, you find their product and then take the square root of that product:

\(GM=\sqrt{16*36}=\sqrt{576}=\pm24\)

Answer:

first is 4+4=8.........second is 22×2=11 ..........third is 8÷11=0.7272727273 u can do it 0.72

Step-by-step explanation:

hope this help

Answer:

0.72

Step-by-step explanation:

Where the above probability condition exists,

a. The probability value of 0.049 indicates that the sample results could not have easily occurred by chance. Therefore, we can conclude that there is sufficient evidence to suggest that 200 mg of caffeine has an enhancing effect on long-term memory.

b. The probability value of 0.75 indicates that the difference in performance between the two groups could easily be due to chance. Therefore, we cannot conclude that there is a significant difference in performance between the 200 mg and 300 mg groups based on this probability value. However, further research may be needed to investigate this question more thoroughly.

The study found that participants who were given 200mg of caffeine performed better on a memory test 24 hours later compared to the placebo group. With a probability of 0.049, it can be concluded that the difference between the two groups was not due to chance.

Therefore, there is sufficient evidence to suggest that caffeine has an enhancing effect on long-term memory. On the other hand, the group given 300mg of caffeine did not show a significant difference compared to the 200mg group, with a probability of 0.75 that the difference was due to chance.

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Answer:

4

Step-by-step explanation:

y=3 is a horizontal line, so it will not affect the x coordinate.

The x-coordinate of  the image when M(4,-1) is reflected in y = 3 is : 4

Reflection is the mirror image of a shape.

It is the process of flipping a shape around a certain axis to look like the original shape.

Analysis:

Since the reflection is at y = 3 which is along the x-axis, only the y coordinate changes.  The x coordinate remains the same. So, the x- coordinate is still 4.

In conclusion, the x-coordinate is 4.

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The solution of the inequality is 8 ≥  x  or x > 10. The graph of the solution is attached

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Solving for x:

11≥ 2x - 5 or 2x - 5 > 15

Collect like terms:

11 + 5 ≥ 2x  or 2x > 15 + 5

16 ≥ 2x  or 2x > 20

8 ≥  x  or x > 10

Note:  8 ≥  x can also be written as x ≤ 8

We can combine the two as follow:

Inequality notation: 8 ≥  x > 10

The graph of the solution is attached

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Answer:

f(-3) = -6

Step-by-step explanation:

instead of f(x)

we have -3 replace x, so

f(-3)

then instead of x - 3,

we have

-3 - 3, which equals -6

Therefore, the answer is

f(-3) = -6

The perimeter of ABCD can be calculated using the following formula: Line AB + Line BC + Line CD + Line DA = Perimeter ABCD.

Therefore,

The perimeter of ABCD can be calculated using the following formula: Line AB + Line BC + Line CD + Line DA = Perimeter ABCD.

When we substitute the provided values, we get: ABCD perimeter = 9 units plus 5 units plus 9 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units As a result, the perimeter of ABCD is 28 units.

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The x-intercept of the function is (-1/3, 0) and (5, 0)

Given is a graph of a parabola having equation y = -3x²+14x+5, we need to find the x-intercept of the graph,

So to find the x-intercept put y = 0,

Therefore,

-3x²+14x+5 = 0

-3x²+15x-x+5 = 0

-3x(x-5)-1(x-5) = 0

(-3x-1)(x-5) = 0

Therefore,

x = -1/3 and x = 5

Hence the x-intercept of the function is (-1/3, 0) and (5, 0)

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Answer:

12 hours

Step-by-step explanation:

the culture was first 300

the it grew to 500 in 4 hours

so that means it grew by 200 in 4 hours

and the triple it size is 900

you say;

if 200 =4 hours what about 600

=12 hours

The area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

To find the area of each face of the cuboid, we'll use the formulas for finding the area of a rectangle (which is the shape of each face of the cuboid).

Given dimensions:

Length (L) = 9 cm

Width (W) = 7 cm

Height (H) = 4 cm

a) Area of the top face of the cuboid:

The top face is a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

b) Area of the bottom face of the cuboid:

The bottom face is also a rectangle with dimensions 9 cm (length) and 7 cm (width).

Area = Length × Width

Area = 9 cm × 7 cm

Area = 63 square centimeters (cm²)

Therefore, the area of both the top face and the bottom face of the cuboid is 63 square centimeters (cm²).

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we have the function

For t=2 houts

substitute

p=200(8^2)

p=12,800

therefore

20 ft

Explanation

the area of a parallelogram is given by:

then

Step 1

Let

base=unknow length= x

heingth=1 1/4 feet = 1.25 ft

Area= 25 quare ft

now, replace.

therefore, the length of the banner is 20 ft.

I hope this helps you

(i) Given radius r = 15 cm ∴ diameter d = 2 x 15 = 30 cm Circumference C = πd units = 227227 x 30 = 66076607 = 94.28 cm (ii) Given circumference C = 1760 cm 2πr = 1760 2 x 227227 x r = 1760 r = 1760×72×221760×72×22 = 160×72×2160×72×2 = 40 x 7 = 280 cm Diameter = 2 x r = 2 x 280 = 560 cm (iii) diameter d = 24m radius r = d2d2 = 242242 = 12 m Circumference C = 2 πr units = 2 x 227227 x 12 = 52875287 = 75.4 m Tabulating the results S. No. radius (r) diameter (d) circumference (C) (i) 15 cm 30 cm 94.28 cm (ii) 280 cm 560 cm 1760 cm (iii) 12 m 24

a bit messy sorry for that