-4 = BLANK - 9 what is BLANK

Answers

Answer 1

Answer:

5

Step-by-step explanation:

Let be blank be a

-4=a-9

-4+9=a

9-4=a

a=5

Proof:

-4=a-9

-4=5-9

-4=-4

Hope this helps ;) ❤❤❤

Answer 2

The value of BLANK in the given expression is 5.

To solve the equation "-4 = BLANK - 9",

Isolate the variable on one side of the equation.

To do this, we can add 9 to both sides of the equation:

-4 + 9 = BLANK - 9 + 9

This simplifies to:

5 = BLANK

So the value of BLANK is 5.

To solve the equation "-4 = BLANK - 9",

We can add 9 to both sides of the equation to isolate the variable.

This gives us the solution of BLANK = 5.

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Related Questions

Solve the inequality 2x-5 is less than or equal to -x+12 . Give your answer as an interval.

Answers

Answer:

[tex]\Large \boxed{\mathrm{( - \infty, \frac{17}{3}) }}[/tex]

Step-by-step explanation:

[tex]2x-5\leq -x+12[/tex]

Add x and 5 on both parts.

[tex]2x+x\leq 12+5[/tex]

Combine like terms.

[tex]3x\leq 17[/tex]

Divide both parts by 3.

[tex]\displaystyle x \leq \frac{17}{3}[/tex]

If 4SINB=3SIN(2A+B) :
Prove that:7COT(A+B)=COTA

Answers

Answer:

Step-by-step explanation:

Given the expression 4sinB = 3sin(2A+B), we are to show that the expression 7cot(A+B) = cotA

Starting with the expression

4sinB= 3sin(2A+B)

Let us re write angle B = (A + B) - A

and 2A + B = (A + B) + A

Substituting the derived expression back into the original expression ww will have;

4Sin{(A + B) - A } = 3Sin{(A + B)+ A}

From trigonometry identity;

Sin(D+E) = SinDcosE + CosDSinE

Sin(D-E) = SinDcosE - CosDSinE

Applying this in the expression above;

4{Sin(A+B)CosA - Cos(A+B)SinA} = 3{Sin(A+B)CosA + Cos(A+B)sinA}

Open the bracket

4Sin(A+B)CosA - 4Cos(A+B)SinA = 3Sin(A+B)CosA + 3Cos(A+B)sinA

Collecting like terms

4Sin(A+B)CosA - 3Sin(A+B)cosA = 3Cos(A+B)sinA + 4Cos(A+B)sinA

Sin(A+B)CosA = 7Cos(A+B)sinA

Divide both sides by sinA

Sin(A+B)CosA/sinA= 7Cos(A+B)sinA/sinA

Since cosA/sinA = cotA, the expression becomes;

Sin(A+B)cotA = 7Cos(A+B)

Finally, divide both sides of the resulting equation by sin(A+B)

Sin(A+B)cotA/sin(A+B) = 7Cos(A+B)/sin(A+B)

CotA = 7cot(A+B) Proved!

Line m and point P are shown below. Part A: Using a compass and straightedge, construct line n parallel to line m and passing through point P. Leave all construction marks. Part B: Explain the process that you used to construct line n.

Answers

Answer:

The steps to construct a a line parallel to another line from a point includes

1) From the given line draw a transversal through the point

2) With the compass, copy the angle formed between the transversal and the given line to the point P

3) Draw a line through the intersection of the arcs of the angle construction to get the parallel line through the point P

Step-by-step explanation:

The cost of milk is modeled by a linear equation where four quarts (one gallon) costs $3.09 while two quarts
(half-gallon) costs $1.65. Write the linear equation that expresses the price in terms of quarts. How much would
an eight-quart container of milk cost?

Answers

Answer:

linear equation to express the price is:

y=0.72x+0.21

An eight quarts will cost :  $5.97

Step-by-step explanation:

linear equation represent y=mx+b

let x=quarts ( x=4, x=2)

y= price (3.09 and y=1.65 )

two points (4,3.09) and (2,1.65)

need to find the slope m:

y2-y1/x2-x1

(1.65-3.09)/(2-4) ⇒ m=0.72

y=0.72x+b  find b at point (2,1.65)

1.65=0.72(2) +b  ⇒ b=0.21

y=0.72x +0.21

check : point (4,3.09)

y=0.72(4) +0.21

y=3.09  ( correct)

An eight quarts will cost :

y=0.72(8)+0.21

y=5.97 dollars

What is the domain of F(x) = In(x)?

Answers

Answer as an inequality:  [tex]x > 0[/tex]

Answer in interval notation:  [tex](0, \infty)[/tex]

Answer in words: Set of positive real numbers

All three represent the same idea, but in different forms.

======================================================

Explanation:

Any log is the inverse of an exponential equation. Consider a general base b such that f(x) = b^x. The inverse of this is [tex]f^{-1}(x) = \log_b(x)[/tex]

For the exponential b^x, we cannot have b^x = 0. We can get closer to it, but we can't actually get there. The horizontal asymptote is y = 0.

Because of this, [tex]\log_b(x)[/tex] has a vertical asymptote x = 0 (recall that x and y swap, so the asymptotes swap as well). This means we can get closer and closer to x = 0 from the positive side, but never reach x = 0 itself.

The domain of [tex]\log_b(x)[/tex] is x > 0 which in interval notation would be [tex](0, \infty)[/tex]. This is the interval from 0 to infinity, excluding both endpoints.

------------------------

The natural log function Ln(x) is a special type of log function where the base is b = e = 2.718 approximately.

So,

[tex]\log_e(x) = \text{Ln}(x)[/tex]

allowing all of what was discussed in the previous section to apply to this Ln(x) function as well.

------------------------

In short, the domain is the set of positive real numbers. We can't have x be 0 or negative.

If x = 7, what is the value of 4(x - 5)

Answers

Answer:

8

Step-by-step explanation:

Because if x=7 then it would be 7-5 which equals 2 then you would times 2 and 4 together which equals 8 then you would have your answer which is 8.

Answer:

its 8

Step-by-step explanation:

x= 7

so replace the x with the value of 7

4(7-5)

7 minus 5 is 2

4·2

4 multipied by 2 is 8

so the answer is 8

PLEaSE HELP!!!!!! will give brainliest to first answer

Answers

Answer:

The coordinates of A'C'S'T' are;

A'(-7, 2)

C'(-9, -1)

S'(-7, -4)

T'(-5, -1)

The correct option is;

B

Step-by-step explanation:

The coordinates of the given quadrilateral are;

A(-3, 1)

C(-5, -2)

S(-3, -5)

T(-1, -2)

The required transformation is T₍₋₄, ₁₎ which is equivalent to a movement of 4 units in the leftward direction and 1 unit upward

Therefore, we have;

A(-3, 1) + T₍₋₄, ₁₎ = A'(-7, 2)

C(-5, -2) + T₍₋₄, ₁₎ = C'(-9, -1)

S(-3, -5) + T₍₋₄, ₁₎ = S'(-7, -4)

T(-1, -2) + T₍₋₄, ₁₎ = T'(-5, -1)

Therefore, the correct option is B

PLEASE ANSWER !! WILL GIVE BRAINLIEST! Consider the exponential functions f, g, and h, defined as shown. Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval [0, 3].

Answers

Answer: g(x) f(x) h(x)

Step-by-step explanation:

The order of the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval [0, 3] is is g(x) >f(x) > h(x)

What is Function?

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

What is Exponential function?

A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.

What is average rate of change?

It is a measure of how much the function changed per unit, on average, over that interval.

Given,

[tex]f(x) = 16(\frac{1}{2})^{x}[/tex]

interval = [0,3]

[tex]f(0)= 16(\frac{1}{2})^{0} =16 \\f(3)= 16(\frac{1}{2})^{3} =2[/tex]

Average rate of change = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Average rate of change= [tex]\frac{2-16}{3-0}=-4.67[/tex]

Consider the function g(x)

g(0)=21

g(3)=1

Average rate of change = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Average rate of change =[tex]\frac{1-27}{3-0}=-8.67[/tex]

Consider the exponential function

at x=0 the exponential function h =4

at x=0 the exponential function h =-3

Average rate of change = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Average rate of change =[tex]\frac{-3-4}{3-0}=-2.33[/tex]

Hence, the order of the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of change on the interval [0, 3] is g(x) >f(x) > h(x)

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WILL GIVE BRAINLIEST!!!
Help Someone please!! Given the following perfect square trinomial, find the missing term: 4x2 + ___x + 49 7 14 28 36

Answers

Answer:

28

Step-by-step explanation:

[tex]4 {x}^{2} + - - x + 49 \\ this \: is \: the \: expanded \: form \: of \\ {(2x + 7)}^{2} = 4 {x}^{2} + 28x + 49[/tex]

Answer:

[tex]\huge \boxed{28}[/tex]

Step-by-step explanation:

The trinomial is a perfect square.

Take the square root of the first term and the last term.

[tex](\sqrt{4x^2}+\sqrt{49})^2[/tex]

[tex]\sqrt{4x^2}=2x\\ \sqrt{49} =7[/tex]

[tex](2x+7)^2[/tex]

Expand to find the second term of the trinomial.

[tex](2x+7)(2x+7)\\2x(2x+7)+7(2x+7)\\4x^2 +14x+14x+49\\4x^2 +28x+49[/tex]

The second term of the trinomial is 28x.

Use the distributive property to rewrite the given expression without parentheses.
7(x+2)
7(x+2) =​

Answers

Answer:

7x+14

Step-by-step explanation:

The distributive property is when you multiply the number on the outside of rhe parenthesis with the numbers on the inside.

In this case it will be 7×x and 7×2

7(x+2)=7x+14

The length of a rectangle is 5/6 feet. The width is 3/8 feet. How much greater is the length of the rectangle than the width?

Answers

Answer:

0.46 feet

Step-by-step explanation:

Length = 5/6 feet (or 0.254 m)

Width = 3/8 feet (or 0.114 m)

(5/6 - 3/8) feet = 11/24 feet or 0.46 feet (0.140 m)

Tricks for solving trigonometry proof question easily ??​

Answers

Answer: do do that you need a firm understanding of trig. once you do, you can see all the steps and solve a trig proof problem easily. So go back to solving regular trig questions, and keep asking yourself why this formula works. once you have understanding of that, you can solve trig proof problems with ease.

Step-by-step explanation:

equation y = (2x)/(x-1), how do I get -0.5 as the x intercept ???​

Answers

Answer:

( 0,0) is the x intercept

Step-by-step explanation:

y = (2x)/(x-1),

To find the x intercept set y = 0 and solve for x

0 =  (2x)/(x-1)

Multiply by x-1 on each side assuming x does not equal 1

0 = 2x

x = 0

The x intercept is 0

( 0,0) is the x intercept

thank you theta upon sin theta cos cos theta + sin thank you theta + cos cube theta upon sin theta + cos theta + sin theta minus cos theta upon sin theta minus cos theta is equal to ​

Answers

Answer:

Hey... Ans is in the pic..

Hope it helped u if yes mark me mark me BRAINLIEST!

Tysm!

:)

For each function, determine if it intersects or is parallel to the line y = -1.5x. If it
intersects the line, find the intersection point.
y =0.5x +4
PLEASE ANSWER I HAVE 25 MINUTES LEFT PLEASE

Answers

Answer:

Intersects; intersection point: (-2,3)

Step-by-step explanation:

Substitute -1.5x for y into y=0.5x+4:

-1.5x = 0.5x +4

-1.5x - 4 = 0.5x

-4 = 2x

x = -2

Plug in -2 for x into y=-1.5x

y = -1.5(-2)

y = 3

Organize the x and y values into an ordered pair:

(-2,3)

Answer:

y=0.5x+4 intersects y=-1.5x.

The intersection point is (-2,3)

Step-by-step explanation:

First, note that if two lines are not parallel, then they must intersect eventually in one way or another. Note that since these are two lines, they will only have one intersection points.

So we have the equation:

[tex]y=-1.5x[/tex]

Parallel lines have the same slope. Therefore, a line parallel to this line also has a slope of -1.5

The equation given to us is:

[tex]y=0.5x+4[/tex]

As we can see, this does not have a slope of -1.5. Therefore, the given equation is not parallel to y=-1.5x. However, this does mean that it will intersect y=-1.5x.

To find the x-value of their intersection, simply set the equations equal to each other and solve for x.

[tex]-1.5x=0.5x+4\\-2x=4\\x=-2[/tex]

Now, plug -4 into either of the equations:

[tex]y=-1.5(-2)=3\\y=0.5(-2)+4=-1+4=3[/tex]

Therefore, the point of intersection is (2,3).

At a school carnival is the diameter of the map of a trampoline has 12 feet and the diameter of the metal frame is 14 feet what is the length in feet of the metal frame that's around the trampoline use 3.14 for pie and round the answer to the nearest 10th

Answers

Answer:

The length of the steel frame will be approximately 44 feet

Step-by-step explanation:

We can solve this problem by calculating the circumference of the steel frame. We are working with the fact that the steel frame was welded into a circular shape.

The circumference of the steel frame can be calculated using

[tex]circumference = \pi \times d[/tex]

where d diameter of the steel frame = 14 feet

[tex]circumference = 3.14 \times 14=43.96ft[/tex]

Therefore, the length of the steel frame will be approximately 44 feet

Plot the image of quadrilateral ABCD under a reflection across the x-axis.

Answers

Answer:

The points for this will be:

A: (1, -4)

B: (-4, -2)

C: (-5, 4)

D: (-2, 1)

Step-by-step explanation:

If we reflect a shape over the x-axis, all of it’s points y values will be negated.

So, (1, 4) becomes (1, -4)

(-4, 2) becomes (-4, -2)

(-5, -4) becomes (-5, 4)

and (-2, -1) becomes (-2, 1)

Hope this helped!

New coordinates of the quadrilateral are A' is (1, -4), B' is (-4, -2), C' is (-5, 4) and D' is (-2, 1)

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The coordinates of quadrilateral ABCD are A is (1, 4), B is (-4, 2), C is (-5, -4) and D is (-2, -1)

After reflecting across the x-axis , the x-coordinates of the vertices will remain the same, but the signs of their y-coordinates will change.

Therefore, the new coordinates of the vertices will be:

A' is (1, -4)

B' is (-4, -2)

C' is (-5, 4)

D' is (-2, 1)

Hence,  new coordinates of the quadrilateral are A' is (1, -4), B' is (-4, -2), C' is (-5, 4) and D' is (-2, 1)

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Given an angle of a triangle and the opposite side length; which trigonometric function would you use to find the hypotenuse? a TAN b COS c SIN d Not enough information

Answers

Answer:

Sin

Step-by-step explanation:

Sin < = opposite/hypotenuse

please helppp ill give brainliest the question is attached below

Answers

Answer: It is false, the diameter is not 16 m.

Step-by-step explanation:

P 4m are 8 m are 32 m away. The diameter= 32 m.

(I hope its rights!!!)

What is the surface area of the sphere below?

Answers

Hey there! I'm happy to help!

To find the surface area of a sphere, here is what you do.

You square the radius.

4²=16

You multiply by 4.

16×4=64

And you multiply by pi!

64×π=64π

Therefore, the surface area of the sphere is A. 64π units². It's that easy!

Now you can find the surface area of a sphere! Have a wonderful day! :D

Question :-

What is the surface area of the sphere that has a radius of 4 units?

Answer :-

The surface area of the sphere is 64π units².

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{4 \: units}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the radius of the sphere is 4 units. We have been asked to find or calculate the surface area of the sphere.

To calculate the surface area of the sphere, we will use the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area:

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4 \times \pi \times (4 \: units)^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4 \: units)^2 \times 4 \times \pi[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 16 \: units^2 \times 4 \times \pi[/tex]

[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 64\pi \: units^2}[/tex]

Therefore :-

The surface area of the sphere is 64π units².

[tex]\\[/tex]

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Have a great day! <33

idk know the answer i really need help

Answers

Answer:

37x - 13

Step-by-step explanation:

Hello!

The product of 37 and x mean multiply so we can write it as

37x

13 less means subtract so we put that at the end

37x - 13

The answer is 37x - 13

Hope this helps!

Answer:

37 * x - 13

This answer is here according to your question It said that 37*x - 13 Please mark this answer The brainliest one

Solve for y in the following system of equations: −x+y=0 −2x+y=−5 1. 5 2. 7 3. 6 4. 5

Answers

Answer:

y = 5

Step-by-step explanation:

−x+y=0   −2x+y=−5

Multiply the first equation by -2

-2(-x+y=0)

2x-2y =0

Add this to the second equation

 2x-2y =0

−2x+y=−5

-------------------

0x -y = -5

-y =-5

Multiply by -1

y = 5


What is the center of a circle with the equation (x - 6)2 + (y + 2)2 = 9?
A)
(6,2)
B)
(6,-2)
0)
(-6, 2)
D)
(-6, -2)

Answers

Answer:

B. (6,-2)

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2

The center of the circle is (h,k)

So, in this problem, h is 6 and k is -2, so the center of this circle is (6,-2).

M1: L12a: Solving Equations Exit Ticket Determine which of the following equations have the same solution set. Must show work. 1. 3y + 8 = -10 - 3y 2. 6r+ 7 = 13 + 7r 3. 13 - 4m = 1 - m 4.-8-h=-3h 5. 38+7f=8f + 32 6. -6n + 20 = -14n - 4

determine which of the following has the same solution set must show work​

Answers

Answer:

uhfcytuyyytt ryffffffffgtgghhh

THIS HAS MULTIPLE QUESTIONS PLEASE ANSWER ASAP
Question 1 Solve the inequality. |d + 2| ≥ 6
Question 2 Solve the equation. If there is no solution, select no solution. 5|x+3/4|=10
Question 3 Solve the inequality. –2 < 4 x – 10 < 6

Answers

Answer:

Question 1: d ≥ 4  or  d ≤ -8

Step-by-step explanation:

Question 1 Solve the inequality. |d + 2| ≥ 6

d + 2 ≥ 6  or  d + 2 ≤ -6

d ≥ 4  or  d ≤ -8

Use distributive property to simplify the following expression. 2(4+9w)

Answers

Answer:

18w+8

Step-by-step explanation:

[tex]2(4 + 9w) \\ = 2(4) + 2(9w) \\ 8 + 18w \\ = 18w + 8[/tex]

Answer:

8+18w [tex]\huge\checkmark[/tex]

Step-by-step explanation:

Hi! Hope you are having an amazing day! :)

Distribute 2 by multiplying everything inside the parentheses by 2:

[tex]\huge\mathrm{2(4+9w)}[/tex]

[tex]\huge\mathrm{8+18w}[/tex] (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

[tex]\bf{-MistySparkles^**^*}\star[/tex]

Select all transformations that carry rectangle

ABCD onto itself.


A. Rotate by 90 degrees clockwise using center P.


B. Rotate by 180 degrees clockwise using center P.


C. Reflect across line m.


D. Reflect across diagonal AC

.

E. Translate by the directed line segment from A to B.

Answers

B it rotates by 180 degrees clockwise using center P.

an equation uses the symbol

Answers

Answer:

The '=' sign.

Step-by-step explanation:

The equals sign ( = ). for example:

3x + 1 = 8.

The  equals sign was invented by Robert Recorde of Tenby, South Wales, UK in the early part of the 16th century.

A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same base and half the height of the prism is placed inside the prism, as shown in the figure

Answers

The answer is 200 cm³

The volume of the rectangular prism (V1) is:

V1 = l · w · h                       (l - length,  w - width,  h - height)

It is given:

h = 12 cm

w = l = 5 cm (since it has a square base which all sides are the same size).

Thus: V1 = 12 · 5 · 5 = 300 cm³

The volume of pyramid (V2) is:

V2 = 1/3 · l · w · h                   (l - length,  w - width,  h - height)

It is given:

h = 12 cm

w = l = 5 cm (since it has a square base which all sides are the same size).

V2 = 1/3 · 12 · 5 · 5 = 1/3 · 300 = 100 cm³

The volume of the space outside the pyramid but inside the prism (V) is a difference between the volume of the rectangular prism (V1) and the volume of the pyramid (V2):  

V = V1 - V2 = 300 cm³ - 100 cm³ = 200 cm³

Find the GFC of 20 and 16

Answers

The greatest common factor of 20 and 16 is 4.
The ANSWER for this question is ‘4’
Other Questions
1A. A strontium hydroxide solution is prepared by dissolving 10.45 g of Sr(OH)2 in water to make 41.00 mL of solution. What is the molarity of this solution? 1B. Next the strontium hydroxide solution prepared in part (a) is used to titrate a nitric acid solution of unknown concentration. Write a balanced chemical equation to represent the reaction between strontium hydroxide and nitric acid solutions. 1C. If 23.9 mL of the strontium hydroxide solution was needed to neutralize a 31.5 mL aliquot of the nitric acid solution, what is the concentration (molarity) of the acid? What is 0.75 as a fraction? Your firm has estimated the following cash flows for two mutually exclusive capital investment projects. The firm's required rate of return is 13%. Year Project A Cash Flow Project B Cash Flow 0 -$100,000 -$100,000 1 28,900 48,000 2 28,900 40,000 3 28,900 40,000 4 28,900 5 28,900 Which of the following statements best describes projects A and B?a) Project A should be accepted because it has the highest NPV. b) Project A should be accepted because it has the highest EAA. c) Project B should be accepted because it has the highest EAA. d) Both projects should be accepted because they have positive NPVs and EAAs. e) Neither project is acceptable. one of these marbles is picked at random. what is the probability that a blue marble is picked? A.1/3B.2/5C.1/2D.1/4 The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children ages 5 to 15 years. Based on this data, the authors conclude that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.5 mm and a standard deviation of 4.8 mm.Required:a. Approximately what proportion of healthy children has left atrial diameters less than 24 mm?b. Approximately what proportion of healthy children has left atrial diameters greater than 32 mm?c. Approximately what proportion of healthy children has left atrial diameters between 25 and 30 mm?d. For healthy children, what is the value for which only about 20% have a larger left atrial diameter? About 10% of the human population is left-handed. Suppose a researcher speculates that artists are more likely to be left-handed than other people in the general population. The researcher surveys 200 artists and finds that 26 of them are left-handed.Required:a. Define the parameter of interest and give the null value.b. State the researcher's null and alternative hypotheses.c. What proportion of the sample of artists is left-handed?d. To calculate a p-value for the hypothesis test, what probability should the researcher calculate? Make your answer specific to this situation. Which of these is NOT an example of biting and chewing insect?(A)Locust(B) Grasshopper (C)Aphid(D) Termite (E) What is the value of x ? People decide to save 20 percent of their incomes. The value of the marginal propensity to consume is ________ and the value of the spending multiplier is ________. Which of the following systems of linear equations has a solution of (-4,3)? 1. 4x+2y=22 y=3x9 2. 4x+2y=22 y=3x9 3. 4x2y=22 y=3x9 4. 4x2y=22 y=3x9 help me with these thanks Janitor Supply produces an industrial cleaning powder that requires 31 grams of material at $0.30 per gram and 0.40 direct labor hours at $10.00 per hour. Overhead is applied at the rate of $16 per direct labor hour. What is the total standard cost for one unit of product that would appear on a standard cost card If you drive under the influence, you A. Increase the risk of killing yourself or another person.B. Will have to pay double the fine if youre ticketed for speeding.C. Are less likely to be injured in a collision.D. Im not committing a crime unless your BAL is .08 or higher What is the absolute value of the difference in the x-values between (1,7) and (3,11) Round 18.049 to the nearest tenth. SEC Form S-3 is an optional, short-form registration statement that relies on the incorporation by reference of periodic reports required by the Securities Exchange Act of 1934. Form S-3 offers substantial savings in filing costs over other forms because minimal disclosures are required in the prospectus. The SEC permits the use of Form S-3 by an issuer that Rogers, a national manufacturer of lawn-mowing and snow-blowing equipment, segments its business according to customer type: Professional and Residential. Assume the following divisional information was available for the past year (in thousands of dollars): Sales Operating Income Total AssetsResidential $850,000 $68,000 $200,000Professional $1,095,000 $153,300 $365,000Assume that management has a 25% target rate of return for each division.Requirementsa. Calculate each divisions ROI.b. Calculate each divisions sales margin. Interpret your results.c. Calculate each divisions capital turnover. Interpret your results.d. Use the expanded ROI formula to confirm your results from Requirement a. What can you conclude?e. Calculate each divisions residual income (RI). Interpret your results. A parallel-plate capacitor has square plates that are 7.40 cm on each side and 3.20 mm apart. The space between the plates is completely filled with two square slabs of dielectric, each 7.40 cm on a side and 1.60 mm thick. One slab is Pyrex glass and the other slab is polystyrene. If the potential difference between the plates is 84.0 V, find how much electrical energy (in nJ) can be stored in this capacitor. answer these questions with Always,never it sometimes An exterior angle of a triangle is equal to the sum of its adjacent angle and one remote interior angle An isosceles triangle is an equilateral triangle An equilateral triangle is an isosceles triangle Double a number decreased by 25.6 is equal to 90 Find the number