What products are defined for these matrices?
Drag the operation to the boxes to correctly complete the table.

What Products Are Defined For These Matrices?Drag The Operation To The Boxes To Correctly Complete The
What Products Are Defined For These Matrices?Drag The Operation To The Boxes To Correctly Complete The

Answers

Answer 1

The allocation for product defined and product not defined are

PD(product defined)

PM, QP, LM

PND

ML

This is further explained below.

What is an allocation for product defined?

Generally, the rule for matrix multiplication

no. of columns for the first matrix should be equal to no. of rows in the second matrix" that is if

1st matrix has =m * n

2nd has =k *l

Therefore

m=l

L=2*2,  M=4*2,

The matrix is defined as the row and the column tally

M=4*2 and L=2*2

The matrix is not defined as a row and the column do not tally

In conclusion, Q=2*1, and P=2*2 equal so the product is defined.

P=2 *2,M=4 *2,  equal so product is defined.

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Related Questions

20/24 equals 45/50 true or false

Answers

[tex]\frac{20}{24}=\frac{45}{50}[/tex]

bring the fractions to a common denominator

[tex]undefined[/tex]

{x>2}∩{x|x≤4}
please solve

Answers

GOOD LUCK! ????????????????????????????????????????????????????????????????????????????????////

This is easy but I just don’t have time please answer.

Answers

The nearest degree of the measure of the angle having trigonometric ratios are answered below.

What are trigonometric ratios?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others. Review the sine, cosine, tangent, cotangent, secant, and cosecant trigonometric ratios. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle.

Given Data

Trigonometry  Ratios:

1) cosine x = 0.8988

cos⁻¹ = 26.103°

2) sine x = 0.6691

sine⁻¹ x = 41.99°

3) tangent x = 2.50

tan⁻¹ x = 68.2°

4) tan x = 20

tan⁻¹ x = 87.14°

5) sin x = [tex]\frac{6}{11}[/tex]

sin⁻¹ x = 0.518

6) cos x =[tex]\frac{7}{9}[/tex]

cos⁻¹ = 0.7

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Find the area of the rectangle.
1 1/2 yd
58/ 8 yd

Answers

The area of the rectangle is  calculated by L*B

The area of the rectangle is 10.875 yards^2.

How to calculate the area?

l = 58/ 8 yd = 7.25yd

b = 1 1/2 yd = 1.5yd

Solution:

The area of the rectangle is  calculated by L*B

Therefore,

L*B =  7.25* 1.5

= 10.875 yards^2.

The area of the rectangle is 10.875 yards^2.

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Given f(x) = (x-7)(x + 4) and g(x) = x + 4, find (f/g)(x)

Answers

X-7 Correct answer for you

A clone has a volume of 1, 526.81 mm^3 and a height of 19mm. Find the radius of the cone

Answers

Radius of the cone is 8.75mm.

What is volume?

Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies. Volume is measured in cubic units like m³, cm³, in³, etc. Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given Data

Volume = 1526.81 mm³

Height = 19mm

Formula of volume of cone:

V= [tex]\frac{1}{3}[/tex]πr²h

Equating values,

1526.81 = [tex]\frac{1}{3}[/tex]×[tex]\frac{22}{7}[/tex]r²×19

[tex]\frac{1526.81(3)(7)}{22(19)}[/tex] = r²

76.7 = r²

r = 8.75

So,

Radius of the cone is 8.75mm.

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geometry pls help its easy im just slow​

Answers

Answer:

3/7

Step-by-step explanation:

Ian​'s car can go 217 miles on 7 gallons of gas. During a drive last​ weekend, Ian used 8 gallons of gas. How far did he ​drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ian drove last weekend instead of how much gas he used.

Answers

Answer:

165 miles

Step-by-step explanation:

part 1

231/7=33mpg

33×5 =165 miles

part 2

distance/mpg= gas used

for example: if you were told he went 200 miles,

200/33= 6.06 gallons of gas

Kesha is an hourly worker and is paid bi-weekly. Her wage is $25, and she is scheduled for 8 hours a day for 5 days a week. She also works 4 hours every other Saturday at time-and-a-half pay. How much is the gross income on Kesha’s paystub normally?(1 point) Responses $2,000 $2,000 $2,100 $2,100 $2,150 $2,150 $4,300

Answers

Answer:

$2,150

Step-by-step explanation:

Givens

We are given that Kesha is an hourly worker, is paid bi-weekly, and her wage is $25.

We are also told that she works 40 hours a week (derived from 8 hours a day for 5 days a week) and that she works 4 hours every other Saturday at time-and-a-half pay.

We are asked to find Kesha's gross income on her pay stub.

Solve

First, determine her weekly wage by multiplying her hourly wage by the number of hours she works each week:

[tex]\$25 \times 40 = \$1,000[/tex]

Then, multiply this value by 2 since Kesha is paid bi-weekly (twice a month):

[tex]\$1,000 \times 2 = \$2,000[/tex]

Then, determine her time-and-a-half pay by first multiplying her hourly wage by 1.5:

[tex]\$25 \times 1.5 =\$37.50[/tex]

Then, multiply this value by 4 to represent the hours she works every other Saturday:

[tex]\$37.50 \times 4 = \$150[/tex]

NOTE: Since "every other Saturday" means twice a month, this is the same definition as bi-weekly. Therefore, no adjustments need to be made to this value.

Finally, add her time-and-a-half pay to her bi-weekly pay:

[tex]\$2,000 + \$150 = \$2,150[/tex]

Final Answer

Therefore, Kesha's gross income on her pay stub is $2,150.

100 POINTS + BRAINLEIST IF CORRECT

Answers

A kite contains four inner angles, which add up to 360 degrees. It has one pair of equal and opposite obtuse angles in each of these angles.

Answer:

∠D = 94°

Step-by-step explanation:

A kite is a quadrilateral.  

Therefore, the sum of its interior angles is 360°.

⇒ ∠A + ∠B + ∠C + ∠D = 360°

⇒ 108° + ∠B + 64° + ∠D = 360°

⇒ 172° + ∠B + ∠D = 360°

⇒ ∠B + ∠D = 188°

A kite has one pair of opposite (obtuse) angles that are equal.

Therefore, ∠D = ∠B.

⇒ ∠B + ∠D = 188°

⇒ ∠D + ∠D = 188°

⇒ 2∠D = 188°

⇒ ∠D = 94°

Ellen’s dog has a pen that is 32 feet by 33 feet. What is the area of the dog pen?

A rectangle with length 3 cubed feet and width of 3 squared feet.

Find the area.

1. Multiply powers: 32 · 33

2. Expand each power: (3 · 3) · (3 · 3 · 3)

3. Simplify: 35



Complete each sentence.

The
of the original exponent is the exponent in the power of product.
The dog pen has an area of
square feet.

Answers

If Ellen's dog has a pen that is [tex]3^{2}[/tex] feet by [tex]3^{3}[/tex] feet, then the area of the dog pen is 243 square feet

Here the Ellen's dog pen is in rectangular shape

The area of the rectangle = l × w

Where l is the length of the rectangle

w is the width of the rectangle

In this question

The length of the rectangle =  [tex]3^{2}[/tex] feet

= 3×3

= 9 feet

The width of the rectangle =  [tex]3^{3}[/tex] feet

= 3×3×3

= 27 feet

Then the area of the dog pen = l × w

Substitute the values in the equation

The area of the dog pen = 9×27

= 243 square feet

Hence, if Ellen's dog has a pen that is [tex]3^{2}[/tex] feet by [tex]3^{3}[/tex] feet, then the area of the dog pen is 243 square feet

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Sum
        243
I found it on edge


that passes through the points
M (5-3) and N (8,1)
What is the slope of the line

Answers

Answer:

The slope of the line is 4/3

Step-by-step explanation:

slope = rise/run = y2-y1/x2-x1

1-(-3)/8-5 = 4/3

The slope of the line is 4/3

Is this correct? Kinda confused on what to do. (Look at picture)

Answers

Answer:

yes correct . your solution is correct

Answer:

6.5 × 10^9 kg

Step-by-step explanation:

Here is the answer to the question the way it is asked, but the question is ridiculous. 1 kernel of popcorn has a mass of perhaps 1.5 g, so 1.25 g is reasonable. That means 1 kernel has a mass of 0.00125 kg, or 1.25 × 10^-3 kg. To state that 1 kernel of popcorn has a mass of 1.25 × 10^1 means that a kernel of popcorn has a mass of 12.5 kg which corresponds to a weight of approximately 27.6 lb. That is just ridiculous.

Using the ridiculous information given in the problem, then if 1 kernel has a mass of 1.25 × 10^1 kg, then 5.2 × 10^8 kernels have a mass of

(1.25 × 10^1 kg) × (5.2 × 10^8) =

= (1.25 × 5.2) × (10^1 × 10^8) kg

= 6.5 × 10^9 kg

Your number is correct, but don't forget the units.

THERE IS 5 QUESTIONS I NEED TO GET DONE IN TOTAL, BUT IT WONT LET ME PUT MANY PICS IN ONE QUESTION SO PLS GO TO MY ACC AND VIEW THE OTHER 3!!I NEED THIS BY **TODAY**​

Answers

Answer:

y=2x

Step-by-step explanation: given (0,0) (1,2)

y=mx+b

0=(m*0)+b

0=b

2=(1*m)+

2=m

y=mx+b

y=2x

how do i do this question

Answers

Answer: So the question is asking you to see what will happen is like attempt 2.

Step-by-step explanation:

So I recommend reading what to do, if you still don't know, you can search it up or maybe even watch a video of how to do it.

I really hope this helps you!

A, B, C, D, E, F, G & H form a cuboid.
AB= 3.2 cm, BC = 1.6 cm & CG = 7.7 cm.
Find AG rounded to 1dp

Answers

The length of AG=8.5 cm that is diagonal. There are four body diagonals of cuboid and twelve face diagonals. A body diagonal is referred to as the diagonal of cuboid. The diagonal of cuboid formula is √(l² + b² + h²) units.

What is cuboid?

A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid means "like a cube," in the sense that a cuboid can be converted into a cube by varying the length of its edges or the angles between its faces.

What is diagonal?

A diagonal in geometry is a line segment that connects two polygonal vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.

A, B, C, D, E, F, G & H form a cuboid. AB= 3.2 cm, BC = 1.6 cm & CG = 7.7 cm. That is l=3.2 cm, b=1.6 cm, h=7.7 cm.

√(l² + b² + h²) units.

=√(3.2²+1.6²+7.7²)

=8.49 cm

≈8.5 cm

A body diagonal is referred to as the diagonal of cuboid. The diagonal of cuboid formula is √(l² + b² + h²) units. The length of AG=8.5 cm that is diagonal. There are four body diagonals of cuboid and twelve face diagonals.

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what is the different between 5,781 and 57.81

Answers

Answer: 5,723.19

Step-by-step explanation:

to find the answer you subtract 57.81 from 5781 to get 5,723.19

Is that what you were asking? I hope so.

10. One contestant on a game show has
1,500 points and another contestant has
-250 points. What is the difference
between the scores of the contestants?

Answers

1750.
it's the difference between 1500 and -250, so simply add the two.
think about it like this:
one number is lower than zero, so you already have the 1500 minimum for a difference. but it isn't bang on zero, it's 250 less than that. so the answer is 1750.

PLEASE HELP 50 POINTS + BRAINLY FOR ALL AND CORRECT ANSWERS!!!

Answers

The values of x and y in the functions are

y = 6x + 8: y = -28 and x = 2y = 2/3x: y = -4 and x = 30y = -x + 5: y = -1 and x = -15y = 6.5x + 7:  y = -32 and x = 2

How to determine the functions at the x and y values

Function 1

This is given as

y = 6x + 8

When x = -6, we have

y = 6 x -6 + 8

Evaluate

y = -28

When the equation y = 20, we have

20 = 6x + 8

Evaluate the like terms in the above function

6x = 12

Divide by 6

x = 2

Function 2

This is given as

y = 2/3x

When x = -6, we have

y = 2/3 x -6

Evaluate

y = -4

When the equation y = 20, we have

20 = 2/3x

Evaluate the like terms in the above function

20 = 2/3x

Divide by 2/3

x = 30

Function 3

This is given as

y = -x + 5

When x = -6, we have

y = -6 + 5

Evaluate

y = -1

When the equation y = 20, we have

20 = -x + 5

Evaluate the like terms in the above function

x = -15

Function 4

This is given as

y = 6.5x + 7

When x = -6, we have

y = 6.5 x -6 + 7

Evaluate

y = -32

When the equation y = 20, we have

20 = 6.5x + 7

Evaluate the like terms in the above function

6.5x = 13

Divide by 6.5

x = 2

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A street has the coordinates (-2, -5) and (5, 9). What is a parallel street to that one? (Write answer in slope-intercept form)

Answers

The parallel street to that one lines on the equation y = 2x -1

Slope of a Line

To find the parallel street to the one we have the points given, we have to first of all, find the slope of the given point and then pick a coordinate.

Point A = (-2, -5)Point B = (5, 9)

Using the value above, let's find the slope of the line.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\[/tex]

Let's substitute the values into the equation and solve.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = \frac{9 - (-5)}{5 - (-2)} \\m = \frac{14}{7} \\m = 2[/tex]

The slope of the line is equal to 2.

Let's use this to find the equation of the line

[tex]y = mx + c[/tex]

Using one of the points,

[tex]y = mx + c\\9 = 2(5) + c\\9 = 10 + c\\c = - 1\\[/tex]

The equation of the line is

[tex]y = 2x - 1[/tex]

From the calculation above, the equation of the line is y = 2x - 1

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Which type of transformation is described by (x,y)
(x,y) → (x-4, y+8)?

Answers

(x, y) => (x-4, y+8)  is a transformation of 4 units left and 8 units up

How is the transformation described?

From (x, y) to (x-4, y+8) ,

(a) Let us consider x => (x - 4)

Consider x axis and the ' - ' sign

Here a point moves  4 units to the left

(b) Let us consider y => (y + 8)

Consider  y axis and the ' + ' sign

Here a point moves  8 units  upwards

What is a transformation?

A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. Translation, rotation, reflection, and expansion are the four different types of transformation. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image. Every point is equally distant from a fixed line in a reflection. Rotation is the act of turning about a central point .Translation is where every point of the shape must translate the same amount and in the same direction. A dilation is a resizing. A form changes size when you adjust it; even so, it retains the same appearance.

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Which expression can be used to find the total number of squares below?


6 × 7

7 × 5

6 × 1

7 + 5

6 + 1

Answers

7 × 5 is used to find the total number of squares.

Each has 7 small squares.

There are 5 parts,

So we can write:

7+7+7+7+7

That is adding 7 five times. By this we get the total number of square.

So by multiplying 7 by 5 we get the total number of square.

= 7× 5

Therefore the expression 7×5 is used to find the total number of squares.

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please help me I keep getting the answer wrong





1) Record each of these numbers in expanded notation. The first one is done.

2128 = (2 x 1000) + (1 x 100) + (2 x 10) + (8 x 1) = 2000 + 100 + 20 + 8

4629 =

8338 =​

Answers

Answer:

4629= (4×1000)+(6x100)+(2x10)+(9×1)=4000+600+20+9

8338=(8 x 1000)+ (3x100)+(3×10)+(8x1)=8000+300+30+8

Step-by-step explanation:

separate each number and multiply by the place its in

5th p

5th 5248987 5th 5668746i89

At 59 F, crickets chirp at a rate of 76 times per minute, and at 65 F they chirp 100 times per minute. Write an equation in slope-intercept form that represents the situation.

Answers

The equation in slope-intercept form that represents the situation is y = 4x - 160.

Given,

At 59°F, crickets chirp at a rate of 76 times/minute

At 65°F crickets chirp at a rate of 100 times/minute

We have to write an equation in slope-intercept form:

Here,

(x₁, y₁) = (59, 76)

(x₂, y₂) = (65, 100)

Lets find the slope.

m = (y₂ - y₁) / (x₂ - x₁)

m = (100 - 76) / (65 - 59)

m = 24/6

m = 4

That is, the slope is 4.

Now, substitute this in the slope-intercept form:

y = mx + b

100 = 4 × 65 + b

100 = 260 + b

b = -260 + 100

b = -160

Therefore, the equation in slope-intercept form that represents the situation is y = 4x - 160.

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Liz's math test included a survey question asking how many hours students spent studying for the test. Thescatter plot below shows the relationship between how many hours students spent studying and their score onthe test. A line was fit to the data to model the relationship.Which of these linear equations best describes the given model?A) ŷ = 10x + 20B) ŷ = 20x + 20Or C) ŷ = -20x + 20Based on this equation, estimate the score for a student that spent 3.8 hours studying.Round your answer to the nearest hundredth.__________.

Answers

Answer: B. y = 20x +20

The score for a student that spent 3.8 hours studying is expected to be 96.

Step by step solution:

The point-slope form of a linear equation is y = mx + b, where m is the slope and b the intercept with the y-axis.

To find the line that fits the data and model the relationship, we need to find the slope. Let

y = Test score

x = Study time (hours)

[tex]\begin{gathered} m=\frac{y_1-y_2}{x_1-x_2} \\ (x_1,y_1_{})\text{ and }(x_2,y_2)\text{ Point in the line} \end{gathered}[/tex]

Two pair of coordinates from the line are (2, 60) and (3, 80):

[tex]m=\frac{60-80}{2-3}=\frac{-20}{-1}=20[/tex]

We have m = 20, and b = 20 (intercept with the y-axis)

The equation that model the relationship is:

[tex]y=20x+20[/tex]

Second Part. Basing ourselves on the above equation, estimate the score for a student that spent 3.8 hours studying x = 3.8.

[tex]\begin{gathered} y=(20\cdot3.8)+20 \\ y=76+20 \\ y=96 \end{gathered}[/tex]

The score for a student that spent 3.8 hours studying is expected to be 96.

A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negative 6 comma 2, C at negative 2 co If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates. (5 points)

Answers

The coordinates of the image of polygon A'B'C'D' after a translation of 4 units down and 5 units right would be A' (-1, 1), B' (-1, -2), C' (3, -2), D' (3, 2).

What is a translation?

In Geometry, the translation of a geometric figure to the right simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image and translating a geometric figure down simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

By translating the pre-image of polygon ABCD vertically down 4 units and horizontally right 5 units, the coordinates of the image of polygon A'B'C'D' include the following:

(x, y)                               →                  (x + 5, y - 4)

Coordinate A = (-6, 5)   →    Coordinate A' (-6 + 5, 5 - 4) = (-1, 1)

Coordinate B = (-6, 2)   →    Coordinate B' = (-6 + 5, 2 - 4) = (-1, -2)

Coordinate C = (-2, 2)   →     Coordinate C' = (-2 + 5, 2 - 4) = (3, -2)

Coordinate D = (-2, 6)   →     Coordinate D' = (-2 + 5, 6 - 4) = (3, 2)

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A rectangle as shown has a length of 11 centimeters and a width of 4.2 centimeters. A circle is drawn inside that touches the rectangle at two points. Which is the closest to the total area of the shaded region?A. 9.19 cm squaredB. 101.59 cm squared C. 60.05 cm squared D. 32.35 cm squared

Answers

The area of a rectangle can be calculated with this formula:

[tex]A_r=lw[/tex]

Where "l" is the length and "w" is the width.

The area of a circle can be found with this formula:

[tex]A_c=\pi r^2[/tex]

Where "r" is the radius of the circle.

Let be "d" the diameter of the circle shown in the picture. Since it touches the rectangle at two points, you can identify that:

[tex]d=w[/tex]

Since the radius of a circle is half the diameter, in this case this is:

[tex]d=\frac{4.2cm}{2}=2.1\operatorname{cm}[/tex]

Therefore, the area of the circle is:

[tex]A_c=\pi(2.1\operatorname{cm})^2=13.85\operatorname{cm}^2[/tex]

Now you must find the total area of the rectangle. Knowing that:

[tex]\begin{gathered} l=11\operatorname{cm} \\ w=4.2\operatorname{cm} \end{gathered}[/tex]

You get:

[tex]A_r=(11\operatorname{cm})(4.2\operatorname{cm})=46.2\operatorname{cm}^2[/tex]

In order to find the total area of the shaded region, you must subtract the total area of the rectangle and the area of the circle. Then, this is:

[tex]A_{sr}=46.2\operatorname{cm}-13.85\operatorname{cm}=32.35\operatorname{cm}^2[/tex]

The answer is: Option D.

Why can we consider the sample mean in random samples of size n from a given population to be a random variable?.

Answers

The sample mean is indeed a random variable because the value of the sample mean depends on the characteristics of the specific random sample. The sample size multiplied by the population mean yields the expected value of the sample sum.


What is random?
The lack of pattern or predictability in events, whether it be apparent or real, is referred to as randomness. Sometimes there is no order or discernible pattern or combination in a random series of events, symbols, or processes.


What is mean?
A collection of two or more numbers' mean is simply their simple mathematical average. There are various methods for calculating the mean for a given collection of numbers, including the arithmetic mean approach, which adds up the series' values, and the geometric mean method, which averages a group of products. The majority of the time, all of the fundamental approaches to calculating a basic average, however, yield the same rough result.

As the population is a huge number and not linear in growth we prefer to take random variable.

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how do you make y squared equal 169

Answers

Answer:

13

Step-by-step explanation:

A number squared is a number multiplied by itself.

13 x 13 = 169.

The answer is 13.

Hope this helps!

P.S, Brainliest please! Thanks!

Answer:

[tex]y^{2}[/tex] = 169

Meaning that

[tex]\sqrt{y^2}[/tex]  = [tex]\sqrt{169}[/tex]

Simplify...

y = 13

Find the y-intercept of the line on the graph. Help pls!

Answers

Answer:

Y-intercept is 4

Step-by-step explanation:

due to X and Y lines it would be 4 lol

Have a good day

Answer:

It is 4

Step-by-step explanation:

The line intercepts the y axis at 4

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Select an adverb that is both vivid and appropriate to replace the italicized word.She sent a thank-you note for her birthday gift quickly.defiantlypromptly 5 1 point The following table shows the relationship between the federal taxes owed and the adjusted gross income. Adjusted Gross income Federal tax 16,500 2,475 19,500 2,925 24,000 3,600 Find the tax rate and calculate the amount of federal taxes owed for 31,000. Type your answer... Prbvious write the place value of 8 in 15.0008 pongids: a. are incapable of walking bipedally b. can walk bipedally only by holding on to branches with their arms c. are capable of bipedal locomotion, but inefficiently d. are, in fact, habitually bipedal Solve 4|x + 7| = 24.O A. x= -13 and x = -1OB. x = 13 and x = -1O C. x= 13 and x = -13OD. x= -13 and x = 1 The relative atomic Mass of boron is 9. What do you mean by this statement? Which is an equivalent expression using a positive exponent?(3/5)^-8 (3/5)^-4(3/5)^4(3/5)^12 (5/3)^32(5/3)^4 A client is ordered 30 mg of Lovenox by subcutaneous injection.150 mg in 1 ml of liquid for SQ Injection available. How many ml will you administer? * I didnt mean to choose 1 * I really need help because I dont know how to solve this If x = 3, y = 6, then cos e equal to: PLEASE HELP!!A fair die is rolled 4 times. What is the probability of having no 1 and no 3 among the rolls? Round your answer to three decimal places. Conjugate the following verb with the pronoun given. (Nous) perdreperdronsperdonsperonsperdreons The scores of 12th-grade students on the National Assessment of Educational Progress year 2000 mathematics test have a distribution that is approximately Normal with mean = 300 and standard deviation = 35. (a) Choose one 12th-grader at random. What is the probability that his or her score is higher than 300? Higher than 335? Explain and show your work. (b) Now choose an SRS of four 12th-graders and calculate their mean score x. If you did this many times, what would be the mean and standard deviation of all the x-values? Explain and show your work. (c) What is the probability that the mean score for your SRS is higher than 300? Higher than 335? Explain and show your work. What element of nineteenth-century American society was most welcoming to Romanticism?the patriotic tendency towards rationalityO the outcome of the U.S. Civil WarO the philosophies of the founding fathersO the expansion of the American West please help this is due today at!!! Suppose the coefficient of kinetic friction between mA and the plane in the figure(Figure 1) is k = 0.15, and that mA=mB=2.7kg. part aAs mB moves down, determine the magnitude of the acceleration of mA and mB, given = 30 .part b What smallest value of k will keep the system from accelerating? Abby and Lexi each open a savings account on the same day. Both accounts accrue simple interest. The function f(t) = 10t + 500 models the amount of money in Abbys account over time. The function g(t) = 11.25t + 450 models the amount of money in Lexis account over time. Select all the statements that are true of this situation. Pls Help! Rlly Struggling Here!!! 10. Describe George Washington's early military battles (did you know this about him prior to this reading?) what is negative five times negative one third