Someone please help me with this geometry question!

Someone Please Help Me With This Geometry Question!

Answers

Answer 1

Answer: SAS

Step-by-step explanation:

There are two pairs of congruent angles and the pair of angles formed by these sides are congruent.

Answer 2

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

In the given figure, one angle and two adjacent sides of Triangle AFB is equal to corresponding angle and sides of the Triangle DFC.

So, we can conclude that,

Triangle AFB and Triangle DFC are congruent by :

SAS congruency criteria

[tex] \qquad \large \sf {Conclusion} : [/tex]

A. SAS

Related Questions

Your students have been working on algebra equations involving inequalities. The rule for learning the > sign is:

Answers

The rule for learning the > sign is demonstrating eating with the right hand.

Inequality

The inequality signs are;

Greater than >Let was than <Equal to =Greater than or equal to ≥Less than or equal to ≤

The rule for teaching your students the greater than > sign is by imagining eating with their right hand. The shape of the hand when taking food into the mouth is the greater than sign.

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Blossom company , a machinery dealer leased manufacturer equipment to Mays corporation on January 1, 2017. The lease is a 7 year period and requires equal annual payments of $26143 at the beginning of each year . The first payment is received on January 1, 2017 . Blossom had purchased the machine during 2016 for $75000 collectibility of lease payments is reasonable predictable, and no important uncertainties surround the amount of cost yet to be incurred by blossom se the annual rentel to ensure a 8% rate of return . The machine has an economic life of 8 years with no resiidaul value and reverts to blossom at the termination of the lease.A. Compute the amount of the lease receivable

Answers

The amount of the lease receivable will be $146999.

What are lease receivable?

It should be noted that lease receivables means all the payments under the operative documents in respect of:

(i) the Purchaser Basic Rent,

(ii) the Maximum recourse amount,

(iii) the Purchaser Balance and

(iv) any purchase by the Lessee of the Properly up to the amount of the Capital then outstanding.

In this case, the lease is a 7 year period and requires equal annual payments of $26143 at the beginning of each year and the first payment is received on January 1, 2017.

The lease receivable will be:

= PVAD8%,7 × Lease payment

= 5.62288 × 26143

= $146999

In conclusion, the lease receivable is $146999.

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what does 21/10 divided by 2 4/5 represent in this situation

Answers

The answer is 105/140, if it needs to be simplified, it’s either 3/4 or 0.75

At the movie theater, child admission is $5.50 and adult admission is $9.00. on Thursday, 148 tickets were sold for a total sales of $992.50. how many adult tickets were sold that day

Answers

Answer:

51 Adult tickets were sold that day.

Step-by-step explanation:

Let c = child and a = adult

c + a = 148                      5.50c + 9.00a = 992.50

Change the first equation so that it is either in the form c = or a =and then plug that number into the second equation.

I am going to change the first equation to c = by subtracting a from both sides

c = 148 - a

Now I am going to plug 148 -a for c in the second equation.

5.5(148 - a) + 9a = 992.5 Next distribute the 5.5

814 - 5.5a + 9 a = 992.5 Add the a terms together

814 + 3.5a = 992.5 Subtract 814 from both sides

3.5a = 178.5  Divide both sides by 3.5

a = 51

2x+9=1x-5 what is x?

Answers

Answer:

2x+9=1x-5

2x-1x=-5-9

x=-14

2x+9=1x-5
2x-1x=-9-5
x=-14

find the volume of the solid generated by rotating the
region bounded by the curves y=0, y= (x^2)+x, x=2
and x=0 about the y-axis

Answers

The volume of the solid generated by rotating the region bounded by the curves y = 0, y = x² + x, x = 2 and x = 0 about the y-axis is 40π/3 cubic units.

How to find the volume of the solid generated?

To find the volume of the solid generated, we use the shell method since the cross-sections are parallel to the axis of rotation.

So, [tex]V = 2\pi\int\limits^a_b {xy} \, dx[/tex]

Now given that  the region bounded by the curves y = 0, y = x² + x, x = 2 and x = 0 about the y-axis.

So, we integrate from x = 0 to x = 2.

[tex]V = 2\pi\int\limits^a_b {xy} \, dx\\= 2\pi\int\limits^2_0 {x(x^{2} + x)} \, dx\\= 2\pi\int\limits^2_0 {(x^{3} + x^{2} )} \, dx\\= 2\pi\int\limits^2_0 {x^{3} + 2\pi\int\limits^2_0 x^{2} } \, dx\\= 2\pi[\frac{x^{4} }{4}]_{0}^{2} + 2\pi[\frac{x^{3} }{3}]_{0}^{2} \\= 2\pi[\frac{2^{4} - 0^{4} }{4}}]+ 2\pi[\frac{2^{3} - 0^{3} }{3}]\\= 2\pi[\frac{16 - 0}{4}}]+ 2\pi[\frac{8 - 0}{3}]\\= 2\pi[\frac{16}{4}}]+ 2\pi[\frac{8}{3}]\\= 2\pi (4)+ [\frac{16\pi}{3}]\\= 8\pi + [\frac{16\pi}{3}]\\[/tex]

[tex]= \frac{24\pi + 16\pi}{3} \\= \frac{40\pi}{3}[/tex]

So, the volume of the solid generated by rotating the region bounded by the curves y = 0, y = x² + x, x = 2 and x = 0 about the y-axis is 40π/3 cubic units.

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Lisa has $7.80 to spend on some tomatoes and a loaf of bread. Tomatoes cost $1.20 per pound, and a loaf of bread costs $1.80.The inequality 1.20x + 1.80 ≤ 7.80 models this situation, where x is the number of pounds of tomatoes.Solve the inequality. How many pounds of tomatoes can Lisa buy

Answers

Answer:

At maximum, she can buy 5 tomatoes.

Step-by-step explanation:

If you solve the inequality, as so:

1.2x+1.8 <=7.8

1.2x <= 6

x <= 5

I just need help on what the answer is and understanding this question, thank you.
The graph represents the potential area of a concrete rectangle, based on length and width.

Which inequality in vertex form represents the graphed region?

A)y less-than negative 2 (x + 16) squared minus 32
B)y less-than negative one-half (x minus 16) squared + 32
C)y less-than negative 2 (x minus 16) squared + 32
D)y less-than negative one-half (x + 16) squared minus 32

Answers

The inequality of the graph is y < -1/2(x - 16)^2 + 32

How to determine the inequality?

A quadratic function is represented as:

y = a(x - h)^2 + k

The vertex of the graph is

(h, k) = (16, 32)

So, we have:

y = a(x - 16)^2 + 32

The graph pass through the point

(x, y) = (12, 24)

So, we have:

24 = a(12 - 16)^2 + 32

Evaluate the like terms

-8 = a(-4)^2

This gives

16a = -8

Divide by 16

a = -1/2

Substitute a = -1/2 in y = a(x - 16)^2 + 32

y = -1/2(x - 16)^2 + 32

The graph is a less than graph.

So, we have

y < -1/2(x - 16)^2 + 32

Hence, the inequality of the graph is y < -1/2(x - 16)^2 + 32

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A road sign has the shape of an equilateral triangle with a side length of 48 inches. What is the height of the sign? The road sign is about 38.2 inches tall The road sign is about 38.2 inches tall The road sign is about 23.5 inches tall The road sign is about 23.5 inches tall The road sign is about 41.6 inches tall The road sign is about 41.6 inches tall The road sign is about 43.7 inches tall

Answers

The height of the equilateral triangle is 41. 6 inches. Option C

How to determine the height

The formula for finding the height of an equilateral triangle is given as;

h = (a√3)/2

we have a = 48 inches

Let's substitute the value

Height, h = [tex]\frac{48\sqrt{3} }{2}[/tex]

Height = [tex]\frac{48 * 1. 732}{2}[/tex]

Height = [tex]\frac{83. 14}{2}[/tex]

Height = [tex]41. 6[/tex] Inches

Thus, the height of the equilateral triangle is 41. 6 inches. Option C

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Assume that the function f is a one
-to-one function.
(a) If f (7)
= 5, find f-1 (5)
Your answer is
(b) 18 f-1 (-3) = -2, find f(-2).I
Your answer is

Answers

For the given inverse functions we have:

a) f⁻¹(5) = 7

b) f(-2) = -3

How to work with inverse functions?

Remember that if f(x) and g(x) are inverse functions, then:

[tex]f(x) = y\\then\\g(y) = x[/tex]

a) Now we know that:

f(7) = 5

Then if f⁻¹(x) is the inverse, we have:

f⁻¹(5) = 7

b) Now we know that:

f⁻¹(-3) = -2

Again, using the rule for inverse functions, we will have:

f(-2) = -3

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The sun
of three numbers is 24. If two numbers are 16 and 22, what is the third?

Answers

Answer:

The Third would be 72

Step-by-step explanation:

The sum of the two is 16+22=38. the third one is 72-38=34

Now suppose b stays the same. Then, a must be its previous value to satisfy the new inequality.

Answers

When the coordinate satisfies the original inequality, if a stays the same, b must be greater than its previous value to satisfy the new inequality.

How to illustrate the information?

It should be noted that inequality provides an interval to the solution.

This is illustrated graphically. Let's illustrate this with an example, suppose a =1, b = 3

a - b < 0.

1 - 3 < 0

-2 < 0

If a stays the same value, b will be greater than 1.

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how can I solve for x? Answers ASAP

Answers

Using the inscribed angle theorem, the value of x is: 9.

What is the Inscribed Angle Theorem?

Note that an intercepted arc is regarded as part of the circumference of a circle, which is between a chord and a tangent. Thus, based on the inscribed angle theorem, the inscribed angle measure = 1/2(the intercepted arc measure).

So, we would have:

m∠DEF = 1/2(arc DE)

m∠DEF = 4x + 19

arc DE = 360 - (28x - 2) = 360 - 28x + 2

arc DE = 362 - 28x

Plug in the values

4x + 19 = 1/2(362 - 28x)

Solve for x

2(4x + 19) = 362 - 28x

8x + 38 = 362 - 28x

8x + 28x = 362 - 38

36x = 324

x = 324/36

x = 9

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An Annuity Immediate Has 32 Initial Quarterly Payments Of 20 Followed By A Perpetuity Of Quarterly Payments Of 25 Starting In The 9th Year. Find The Present Value At A Nominal Rate Of 16%

Answers

The present value of the nominal rate of the annuity will be $535.

How to calculate the annuity?

Annuity amount = 20

Number of annuities = 32

APR = 16%

PV of annuities = 357

Number of years to perpetuity = 8

Quarterly perpetuity = 25

PV of perpetuity at 9th year = 625

PV of perpetuity today = 178

Total PV = 357 + 178 = 535

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If
xn = (n−1)cos(n2 +n+1) 2n−1
EXERCISES
then xn has a convergence subsequence.

Answers

The proof using Bolzano-Weierstrass Theorem is suggestive of the fact that the bounded sequence that is given has a subsequence that is convergent.

What is Bolzano-Weierstrass Theorem?

The Bolzano-Weierstrass theorem, is a key conclusion regarding convergence in a finite-dimensional Euclidean space in mathematics, notably in real analysis.

According to the theorem above, each bounded sequence in Rⁿ has a convergent subsequence.

***See proof in the attached document.

Hence the given sequence is bounded. It is safe therefore to state that given Bolzano-Weierstrass theorem, the stated real bounded sequence has a convergent subsequence.

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Which of the relations given by the following sets of ordered pairs is a function?
O {(2,-8), (1, — 4), (0, 0), (1, 4), (2, 8)}
O {(3, -3), (3, -1), (3, 1), (3, 3), (3,5)}
O {(1, 2), (2, 3), (3, 4), (5, 6), (2, 1)}
O {(-2,5), (7,5), (-4, 0), (3, 0), (1, -6)}

Answers

Answer:

Option (4)

Step-by-step explanation:

Each value of x maps onto only one value of y, so it is a function.

I need help with this slope

Answers

Answer:

B, C

Step-by-step explanation:

Look at the lower blue point.

Its coordinates are (4, 3).

The x-coordinate, 4, stands for minutes.

The y-coordinate, 3, stands for number of boxes.

This is a slope of 3/4, corresponding to 0.75 boxes per minute, or 3 boxes every 4 minutes.

Answer: B, C

Answer:

3 boxes are filled every 4 minutes.

Step-by-step explanation:

Look at the graph; at the bottom of the graph, it is shown that every __ minutes, __ boxes are filled. If you look at the first shown blue point on the left of the graph, it shows that on the fourth minute, three boxes are filled, as from the axis, you go right four and up three.

Sheffield corporation shipped $20400 of merchandise on a consignment to Gooch company. Sheffield paid frieght cost of $2000. Gooch company paid $480 for local advertising wich is reimbursed from Sheffield . By year end 62% of the merchandise had been sold for $21500.Gooch notified Sheffield , retained a 10% commission , and remitted the cash due Sheffield . Prepare sheffield journal entry when the cash is received

Answers

The appropriate  journal entry when the cash is received is: Debit Cash $18,870, Debit Advertising expense $480, Debit Commission expense $2,150, Credit Revenue from consignment sales $21,500.

Journal entry

Sheffield corporation entries

Debit Cash $18,870

[$21500-($480+ ($21500×10%))]

Debit Advertising expense $480

Debit Commission expense $2,150

(21,500×10%)

Credit Revenue from consignment sales $21,500

Debit Cost of goods sold $13,888

[($20400+$2000)×62%]

Credit Inventory on consignment $13,888

Therefore  journal entry when the cash is received is: Debit Cash $18,870, Debit Advertising expense $480, Debit Commission expense $2,150, Credit Revenue from consignment sales $21,500.

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If the function is:

What is f(-4)?

Answers

Answer:

D.  -11

Step-by-step explanation:

Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.

Given piecewise function:

[tex]f(x)=\begin{cases}2x-3 & \textsf{if }x \leq -4\\x^2 & \textsf{if }-4 < x < 0\\x+5 & \textsf{if }x \geq 0\end{cases}[/tex]

Therefore, the function has three definitions:

[tex]f(x)=2x-3 \quad \textsf{ when x is equal to or less than -4}[/tex]

[tex]f(x)=x^2 \quad \textsf{ when x is greater than -4 or less than zero}[/tex]

[tex]f(x)=x+5 \quad \textsf{ when x is greater than zero}[/tex]

f(-4) means to substitute x = -4 into the function.

As x = -4 satisfies the interval of the first piece of the function, substitute x = -4 into f(x) = 2x - 3:

[tex]\begin{aligned}\implies f(-4) & =2(-4)-3\\& = -8 -3\\& = -11\end{aligned}[/tex]

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Answer is D. -11

Answer:

Solution Given:

f(-4) depends on the condition x≤-4,

so

f(-4)=2*-4-3=-8-3=-11

Which ordered pair is a solution to the inequality 3x-4y<12 ?

Answers

The ordered pair (2,-1) is a solution the inequality.

Given the inequality is 3x-4y<12.

An inequality is a statement that compares two quantities and claims that one is greater or less than the other (the equation may also be included). These inequalities are linear if the variables are only linear.

By substituting each of the given option in the given inequality we will check which ordered pair satisfy the inequality.

1. (4,0)

Here x=4 and y=0

Substitute this in the inequality 3x-4y<12, we get

3(4)-4(0)<12

12<12

This is not true

2. (0,-3)

Here x=3 and y=-3

Substitute this in the inequality 3x-4y<12, we get

3(0)-4(-3)<12

12<12

This is not true.

3. (2,-1)

Here x=2 and y=-1

Substitute this in the inequality 3x-4y<12, we get

3(2)-4(-1)<12

6+4<12

10<12

This is true.

4. (4,-3)

Here x=4 and y=-3

Substitute this in the inequality 3x-4y<12, we get

3(4)-4(-3)<12

12+12<12

24<12

This is not true.

Hence, the ordered pair that satisfy the given inequality 3x-4y<12 is (2,-1).

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A piece of wood is 5 m long. It is cut into pieces. The lengths of the pieces are in the ratio 4:3:2:1. The longest piece is then cut in the ratio 4:1 so that there are now five pieces. How long is the smallest piece?​

Answers

Answer:

0.4

Step-by-step explanation:

4+3+2+1 =10

5m÷10 =0.5

(0.5×4=2, 0.5×3=1.5, 0.5×2=1, 0.5×1=0.5)

2 : 1.5 : 1 : 0.5

longest piece= 2 (2m)

4+1= 5

2÷5= 0.4

(0.4×4=1.6, 0.4×1=0.4)

1.6 : 0.4

so the shortest piece is 0.4!

which of the following is an exponential function y=x^1/2 y=2x^3 y=3^x

Answers

Answer:

  (c)  y = 3^x

Step-by-step explanation:

A function is described as exponential if the independent variable is found in the exponent.

Choices

  y = x^(1/2) . . . a square root function, not exponential

  y = 2x^3 . . . . a cubic (polynomial) function, not exponential

  y = 3^x . . . . . an exponential function

For the inequality y−x>−x2−1, where is the graph shaded and is the curve solid or dotted?

Answers

The curve will be dotted and upper portion of the graph will be shaded.

Inequality expression

Inequality are expressions not separated by an equal sign Given the following inequality

y−x>−x2−1

Equate to zero

y > x^2 + x -1

Since the inequality sign in the given expression is a less than sign, hence the curve will be dotted.

Also, since the inequality sign is a "greater than", hence upper portion of the graph will be shaded.

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Which equation is the inverse of y = 9x² - 4?
0y= ± √x+4
9
O y = ±₁
+4
9
Oy= 2√x+4
3
INX
+√√√x 2
Oy= 3 3

Answers

[tex]y=9x^2-4\\9x^2=y+4\\x^2=\dfrac{y+4}{9}\\x=\pm\sqrt{\dfrac{y+4}{9}}=\pm\dfrac{\sqrt{y+4}}{3}\\\\\text{inverse: }y=\pm\dfrac{\sqrt{x+4}}{3}[/tex]

The inverse of the function y = 9x² - 4 is y = ±√((x + 4)/9). The correct option is A.

What is the inverse of the function?

To find the inverse of a function, we need to swap the positions of the input variable (usually x) and the output variable (usually y), and then solve for y. The resulting equation will be the inverse function.

To find the inverse of the function y = 9x² - 4, we need to swap the positions of x and y and then solve for y.

So, starting with y = 9x² - 4:

y = 9x² - 4

x = 9y² - 4 (swapping x and y)

x + 4 = 9y² (adding 4 to both sides)

y² = (x + 4)/9 (dividing both sides by 9)

y = ±√((x + 4)/9) (taking the square root of both sides, plus or minus)

So the inverse of the function y = 9x² - 4 is:

y = ±√((x + 4)/9)

Note that since we have a plus or minus sign in the expression, this means that the inverse is actually two functions: one that gives the positive square root, and one that gives the negative square root.

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The width of a rectangular house is 22 feet. What is the perimeter of this house if it has the same area as a house that is 33 ft wide and 50 ft long

1) 184 feet
2) 200 feet
3) 194 feet
4) 206 feet

Answers

Answer:

3) 194 feet

Step-by-step explanation:

The other house:

"a house that is 33 ft wide and 50 ft long"

area = LW = (33 ft)(50 ft) = 1650 ft²

This house:

LW = A

L × 22 ft = 1650 ft²

L = 75 ft

P = 2(L + W)

P = 2(75 ft + 22 ft)

P = 194 ft

Answer: 3) 194 feet

Answer:

3) P = 194 ft.

Step-by-step explanation:

[tex]A=wl[/tex]

[tex](30)(50)=22l[/tex]

[tex]1650=22l[/tex]

[tex]l=1650/22=75[/tex]

the dimensions of the house are: (22 × 75)

Perimeter:

[tex]p=2(22)+2(75)=44+150=194[/tex]

Hope this helps

Which of the following are solutions to the quadratic equation? Check all that apply. x² + 10x + 25 = 7
A. 5
B. -5
C. √7-5
D. -√7-5
E. √7 +5
F. √7​

Answers

Answer: C, D

Step-by-step explanation:

[tex]x^2 +10x+18=0\\\\x=\frac{-10 \pm \sqrt{10^2 - 4(1)(18)}}{2}\\\\x=\frac{-10 \pm \sqrt{28}}{2}\\\\x=-5 \pm \sqrt{7}[/tex]

HELP ASAPPPP PLEASE!!!!

Answers

Answer:

  (c)  45°

Step-by-step explanation:

A protractor is used to measure angles by aligning one of the sides of the angle with the 0 mark on the protractor scale. Then the value of the angle is read from the same scale where it is crossed by the other side of the angle.

Application

Here, ray BA crosses the outer scale at 0. The other ray of the angle, BC, crosses the outer scale halfway between 40 and 50, obscuring the mark at 45°.

The measure of angle ABC is 45°.

Answer:

C. 45°

Step-by-step explanation:

When measuring with a protractor one of the rays should line up with the straight edge of the protractor, then match up the second ray to the tick marks. However, it can be confusing to tell how to read a protractor.

Clockwise

This angle moves clockwise. This means that the second ray is clockwise to the ray at the bottom. When using a protractor that opens up to the left like this, read the top row of the protractor. The second ray matches the 45-degree mark.

Acute vs Obtuse

There is another way to tell which row of numbers to read. By looking at the drawn angle we can tell the angle is acute (smaller than a right angle). So, the measurement must be less than 90. Therefore, the top row must apply in this situation, meaning the angle is 45°.

Our peak time this week will be 8:00 AM to 12:00 PM, which requires 32% more agents than the afternoon requirements of 473 agents.” Representative: “So, you will need to have __________ in the morning shift.

Answers

The number of agents required in the morning shift 8:00 AM to 12:00 PM is 624.36 agents

Percentage

Peak time = 8:00 AM to 12:00 PM

Agent required in the afternoon = 473 agents

Agent required in the morning = (32% of 473) + 473

= (32/100 × 473) + 473

= (0.32 × 473) + 473

= 151.36 + 473

= 624.36 agents

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The sides of a rectangle are enlarged by a scale factor of 2. Write
down the scale factor that the area is enlarged by.

Answers

Answer:

4

Step-by-step explanation:

both sides are multiplied by 2 which means its the original area*2*2 which means it's the original area*4

The margin of sampling error is obtained by multiplying the standard error with the _______.

Answers

The margin of sampling error is obtained by multiplying the standard error with the critical value.

What is the margin of sampling error?

The margin of sampling error is a statistic that tells a researcher by how many percentage points the result gotten from the sample value would differ from that of the population. This value is obtained by multiplying the standard error with the critical value.

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typically, plc systems installed inside an enclosure can withstand a maximum of: The radius of a circular board is 3. 5 meters. If the cost of paint is $4/m2, estimate the cost of painting the board. What is the area of the board? true/false. corporations face many more government restrictions and regulations than sole Enrique deposited $4,700 into an account. He made no additional withdrawals or deposits. Enrique earned 1. 65% annual simple interest on the money in the account. What was the balance in his account at the end of 4. 5 years? Enter the amount in the account in the box. subtraction property of equalitymultiplication property of equality173343X-Step3X=17 3 177--7-x+5-7735x.-44-2/x-12x X=1 2X= X-2X=-45--X=division property of equalityX+52-/3/33addition property of equality23815-333x-/3-1/2 x-17453givensimplificationJustification the flow of input data for budgeting should be from the highest levels of responsibility to the lowest.True False ephemeral streams consist fo a seres of intertwined channels that are overloaded with sediemnt. TRUE/FALSE use the graphs shown in the figure below. all have the form f(x)=abxfx=abx . All the following are needed for the computation of depreciation exceptA. training costs of manufacturing personnel (fact)B. cost (fact)C. salvage value (company does estimation)D. estimated useful life A supply chain system does not include information about: multiple choice prospective customers. availability of inventory. current suppliers. current customers. Which of the following entries accurately reflects the accrual of the payroll obligation?Group of answer choicesDebits wages/salaries expense, and credits wages/salaries payableDebits wages payable, credits wages expenseDebits wages expense, credits cashDebits salary expense, credits cash for what value of the constant c is the function f continuous on ([infinity], [infinity])? f(x) = cx2 3x if x < 2 x3 cx if x 2 if a firm turns over inventory once a week, they would have 7 days' worth of inventory on hand. question content area bottom part 1 true/ false The Consolidated-Climate-Change-Fighting-Electricity-Company owns and operates three generators. The cost characteristics of these generators are given by (the powers are expressed in MW): C1 = 300 + 12 P1 + 0.05 P[$/h] Pi 250 MW C2 = 250 + 13 P2 +0.06 P2? [$/h] P2 250 MW C3 = 150 + 11 P3 + 0.08 P3? [$/h] P3 200 MW Calculate the optimal economic dispatch for the case where the total load on the system is equal to 400 MW. How much would an extra MW of load cost per hour? a reduction in the price of donuts will cause (click to select) for donuts. an increase in consumer income will cause (click to select) for donuts (a normal good). a. A reduction in the price of donuts will cause (Click to select) for donuts b. An increase in consumer income will cause (Click to select) for donuts (a normal good. (Click to select a movement up the demand curve an outward shift in the demand a movement down the demand curve an inward shift in the demand a. A reduction in the price of donuts will cause (Click to select) for donuts for donuts la normal good b. An increase in consumer income will cause click to select) (CE to select a movement up the demand curve an outward shift in the demand an inward shift in the demand movement down the demand curve Next > the innateness hypothesis supposes that language learning ability is innate in humans. in other words l variables not in the model might be relevant to predicting the price of an antique clock? Use the Born-Haber cycle to determine the lattice energy (in kJ/mol) of LiCl, given the following thermochemical data:(1) Li(s) --> Li(g) H1=155.2 kJ/mol (heat of sublimation of Li)(2) Cl2(g) --> 2Cl(g) H2=242.8 kJ/mol (dissociation energy of gaseous Cl2)(3) Li(g) --> Li+(g) + e- H3=520 kJ/mol (first ionization energy of Li)(4) Cl(g) + e- --> Cl-(g) H4=-349 kJ/mol (electron affinity of Cl)(5) Li(s) + 1/2Cl2(g) --> LiCl(s) H5=-408.3 kJ/mol (heat of formation of solid LiCl)Answer is 856 kJ/mol Please just explain how to get to this answer! thanks. A transmitter has an output of 2 W at a carrier frequency of 2 GHz. Assume that the transmitting and receiving antennas are parabolic dishes each 3 ft in diameter Assume that the efficiency of each antenna is 0.55. (a) Evaluate the gain of each antenna. (b) Calculate the EIRP of the transmitted signal in units of dBW. (c) If the receiving antenna is located 25 miles from the transmitting antenna over a free-space path, find the available signal power out of the receiving antenna in units of dBW. Origami is the Japanese art of paper folding. The diagram below representsan unfolded paper kabuto, a samurai warrior's helmet. From the kabuto below,which of the following are pairs of congruent angles?Check all that apply.OA. ZIRF and ZMRNB. CRU and ZIRMOC. ZQRT and ZQRUOD. ZONT and MTN