what is the value of x?

What Is The Value Of X?

Answers

Answer 1

The value of x in the triangle is 20 units.

How to find the side of a triangle?

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Using triangle proportional theorem, If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

Hence,

11 / 121 = 10 / 5x + 10

cross multiply

11(5x + 10) = 1210

55x + 110 = 1210

55x = 1210 - 110

55x = 1100

divide both sides of the equation by 55

x = 1100 / 55

x = 20

Therefore,

x = 20

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Related Questions

Graph the equation by plotting three
points. If all three are correct, the line
will appear.
-3y = -x - 6

Answers

Answer:

y=x/3+2

Step-by-step explanation:

y=x/3+2 would be (-6,0) and (0,2)

29. A horse ran around this rectangular paddock, 60m by 100m wide. What total distance was covered by the horse? A. 3.2km B. 6.4km C. 5km D. 20km.​

Answers

The total distance covered by the horse is 0.32km.

The perimeter of a rectangle is given by the formula:

Perimeter = 2 x (length + width)

We have

length = 100m and the width is 60m.

Substituting these values into the formula, we get:

Perimeter = 2 x (100 + 60) = 2 x 160

= 320m

The total distance covered by the horse is equal to the perimeter of the rectangle, which is 320m.

To convert the distance from meters to kilometers, we divide by 1000:

320m / 1000 = 0.32km

Therefore, the total distance covered by the horse is 0.32km.

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Find the value of x to the nearest
hundredth of a foot.

x ft
16 ft
28°

A 7.51
B 8.51
C 14.13
D 18.12

Answers

The value of x to the nearest hundredth of a foot as required to be determined in the task content is; Choice A; 7.51.

What is the value of x to the nearest hundredth of a foot?

It follows from the task content that the value of x as indicated is to be determined.

As the given triangle is a right triangle whose hypothenuse and side x is opposite the angle whose measure is 28°.

It follows from trigonometric ratios that;

sin 28° = x / 16

x = 16 sin 28°

x = 7.51.

Ultimately, the value of x to the nearest hundredth is; Choice A; 7.51.

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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

Answers

The total number of cars sold by two dealerships is 294.

Let x be the number of cars and y be the number of trucks.

As, there are total 164 cars then

x+ y= 164   ........(1)

The second dealership sells twice as many cars and half as many trucks as the first dealership and sold a total of 229 cars and trucks.

so, 2x+ y/2 = 229.....(2)

Solving the equation as

y= 164- x

and, 2x + (164-x)/2 = 229

4x + 164 -x = 458

3x= 458 - 164

3x = 294

x= 294/3

x = 98

Thus, the total number of cars sold by two dealerships is 294.

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

The probability that a randomly selected permutation of the letters A, A, B, C, S, U would spell "abacus" is:  

(A) 1/720

How to find the probability that a randomly selected permutation of the letters A, A, B, C, S, U would spell "abacus"?

Probability is the likelihood of a desired event happening. Mathematically:

Probability = Number of occurrence / Number of possible outcomes

The number of permutations of 6 letters is:

6! =720

Out of these 720 permutations, only one spells "abacus" (based on the arrangement of letters).

Thus, the probability that a randomly selected permutation of the letters A, A, B, C, S, U would spell "abacus" is:  

1/720

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The graph shows the hourly wage requirement m (in dollars) *
for employees in a state. Which inequality represents
the state's hourly wage requirement. (section 2.2)
7.5
8
m≥ $9.5 per hour
m> $9.5 per hour
m≥ $9.25 per hour
m> $9.25 per hour
8.5
9
9.5 10
1 point

Answers

An inequality that represents the state's hourly wage requirement include the following: C. m ≥ $9.25 per hour.

What is an inequality?

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).

Assuming the variable m represent the state's hourly wage requirement. Additionally, each interval on the number line represent 0.25 per hour.

Since the shaded circle (dot) is located at point 9.25 and the arrows points or increases to the right, an inequality that represents the state's hourly wage requirement is m ≥ $9.25 per hour.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The figure below depicts a company's customer analysis based on gender and age group.

What percentage of age-groups has more male customers than female customers?

- 37.5%
- 40%
- 50%
- 62.5%

Answers

The percentage of age-groups has more male customers than female customers is approximately 50%.

The given graph depicts a company's customer analysis based on gender and age group.

Male percentage is more between the age 30-34, 45-49, 50-54 and 55-59.

Here, percentage = 20/41 ×100

= 0.487×100

= 48.7%

≈ 50%

Therefore, option B is the correct answer.

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A cooler is filled with Sprite (s), Pepsi (p), Coke (c), Mountain Dew (m), and Dr.Pepper (d). One of these is selected at random.

What is the sample space for this experiment?

A. S={c, p}

B. S={s, p, c, m, d, g}

C. S={c, p}


D. S={s, p, c, m, d}

Answers

The sample space for this experiment is D. S={s, p, c, m, d}.

HELP!! ILL MARK BRRAINLIST

Answers

Answer:

I think answer is D but it could be wrong not sure

Find the sum of the first 33 terms of the following series, to the nearest integer.
2,11, 20, ...

Answers

The sum of the first 33 terms of the following series, to the nearest integer is 4818.

What is the sum of the first 33 terms?

The sum of the first 33 terms of the following series, to the nearest integer is calculated as follows;

n = (n/2)(2a + (n-1)d)

where;

n is the number of terms in the seriesa is the first term of the seriesd is the common difference of the series

From the given parameters, we have;

n = 33

a = 2

d = 9

The sum of the first 33 terms is calculated as;

S(33) = (33/2)(2x2 + (33-1)(9))

S(33) = (33/2)(4 + 32(9))

= (33/2)( 4 + 288)

= (33/2)(292)

= 33(146)

= 4818

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Mark was told his dinner would be ready at six he left his house at 12 and traveled in his car at an average speed of 45 mph test mom's house 300 miles away did Mark make it home in time for dinner

Answers

Answer:

Step-by-step explanation:

speed= distance/time taken

45=300/t

t=300/45

t=6.7

from 18:00 to 12:00, it's 6hours

so mark won't be on time

Using quadratic formula

Answers

As per the given equation, when a = 3 and b = -2, the value of the expression [tex]b^2[/tex] - 4ab is 28.

When a = 3 and b = -2, we replace the given values into the formula and make the necessary calculations to evaluate the expression b² - 4ab.

Now,

[tex](-2)^2 - 4 * 3 * (-2)[/tex]

4 - 4 * 3 * (-2)

Multiplying -4 and 3 gives us -12, so the expression becomes:

4 - (-12) * (-2)

Multiplying -12 and -2 gives us 24, so the expression further simplifies to:

4 + 24

Adding 4 and 24 together yields:

28

Therefore, when a = 3 and b = -2, the value of the expression b² - 4ab is 28

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Your question seems incomplete, the probable complete question is:

Using quadratic formula, Evaluate b²-4ab when a= 3, b = -2

Rotate the given triangle 90°
counter-clockwise
about the
origin.

Answers

The matrix corresponding to the vertices of the triangle after the rotation is given as follows:

[0 -1 -2]

[0 -3 1]

What are the rotation rules?

The five more known rotation rules are given as follows:

90° clockwise rotation: (x,y) -> (y,-x).90° counterclockwise rotation: (x,y) -> (-y,x).180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y).270° clockwise rotation: (x,y) -> (-y,x).270° counterclockwise rotation: (x,y) -> (y,-x).

The vertices of the original triangle are given as follows:

(0,0), (-3,1) and (1,2).

The rotation rule is given as follows:

(x,y) -> (-y, x).

Hence the vertices of the rotated figure are given as follows:

(0,0), (-1, -3) and (-2, 1).

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A waffle cone is 15 cm tall with a 9 cm diameter opening.
A scoop of ice cream is roughly a 5 cm diameter sphere.
2 How many scoops of ice cream could melt in the cone and
not overflow?

Answers

Just 1 (one) scoop of ice cream can melt in the cone and not overflow.

How to calculate how many scoops of ice cream can melt in the cone

To decide the number of scoops of ice cream that may melt within the cone without flooding, we got to calculate the accessible space interior of the cone.

The volume of a cone can be calculated utilizing the equation V = (1/3)πr^2h, where r is the sweep and h is the stature. In this case, the sweep is half of the breadth, so r = 4.5 cm and h = 15 cm.

V = (1/3)π(4.5 cm)^2(15 cm) = 95.04 cm^3 (balanced to two decimal places)

The volume of each scoop of ice cream can be calculated utilizing the condition for the volume of a circle, V = (4/3)πr^3, where r is the span. In this case, the span is half of the breadth, so r = 2.5 cm.

V_scoop = (4/3)π(2.5 cm)^3 ≈ 65.45 cm^3 (adjusted to two decimal places)

To discover the number of scoops that may dissolve within the cone without flooding, we isolate the volume of the cone by the volume of each scoop:

Number of scoops = V_cone / V_scoop ≈ 95.04 cm^3 / 65.45 cm^3 ≈ 1.45

Since we cannot have a division of a scoop, the most extreme number of scoops that may liquefy within the cone without flooding is 1. In this manner, as it were one scoop of ice cream can be suited within the cone without spilling over.

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Rotate triangle PqR with P(-1,-3), Q(-5,-7) and R(-7,-3)270 counterclockwise about the origin. what are the coordinates of P'

Answers

The coordinates of P' after rotating triangle PQR counterclockwise by 270 degrees about the origin are P'(-3, 1).

To rotate a point counterclockwise about the origin, you can use the following rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

In this case, we want to rotate the triangle PQR 270 degrees counterclockwise. We can calculate the coordinates of each point after the rotation.

For point P(-1, -3):

x' = (-1) * cos(270°) - (-3) * sin(270°)

y' = (-1) * sin(270°) + (-3) * cos(270°)

We can simplify these equations using the values of cosine and sine for 270 degrees:

x' = (-1) * 0 - (-3) * (-1)

y' = (-1) * (-1) + (-3) * 0

Simplifying further:

x' = 0 - 3

y' = 1 + 0

x' = -3

y' = 1

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A carnival game is designed so that approximately 10% of players will win a large prize. If there is evidence that the percentage differs significantly from this target, then adjustments will be made to the game. To investigate, a random sample of 100 players is selected from the large population of all players. Of these players, 19 win a large prize. The question of interest is whether the data provide convincing evidence that the true proportion of players who win this game differs from 0.10. The computer output gives the results of a z-test for one proportion.

Test and CI for One Proportion

Test of p = 0.1 vs p ≠ 0.1

Sample
1 X
19 N
100 Sample p
0.19 95% CI
(0.113, 0.267) Z-Value
3.00 P-value
0.0027

What decision should be made at the α = 0.05 level?

Because the P-value < α = 0.05, the correct decision is to reject H0.
Because the P-value < α = 0.05, the correct decision is to reject Ha.
Because the P-value < α = 0.05, the correct decision is to fail to reject H0.
Because the P-value < α = 0.05, the correct decision is to fail to reject Ha.

Answers

Answer:

Because the P-value < α = 0.05, the correct decision is to reject H0.

Step-by-step explanation:

When the p-value is less than our given significance level, it's outside the rejection region, so there is strong evidence that suggest the null hypothesis is not true and that the alternate hypothesis is favored instead.

What is the measure of MN?

Answers

The measure of arc MN include the following: B. 45°.

What is the theorem of intersecting secants?

In Mathematics and Geometry, the theorem of intersecting secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.

By applying the theorem of intersecting secants, the value of arc MN can be calculated as follows:

37= 1/2(arc MN + 29)

37(2) = arc MN + 29

74 = arc MN + 29

arc MN = 74 - 29

arc MN = 45 degrees.

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Which statement best describes the effect on the graph of y=(x-9)2 if the equation is changed to y = (x + 9)²?
O The graph moves up 18 units.
The graph moves down 18 units.
O The graph moves left 18 units.
O The graph moves right 18 units.
Mark this and return
Save and Exit
Next
Submit

Answers

The statement that best describes the effect on the graph of y=(x-9)² if the equation is changed to y = (x + 9)² is:O C. The graph moves left 18 units.

The effect on the graph of y?

The graph shifts horizontally when the equation is modified from y = (x - 9)2 to y = (x + 9)2. The graph's points' x-coordinates are impacted by the inclusion of 9 inside the brackets.

The graph is moved 9 units to the left by adding 9 to the x-coordinate. As a result, the phrase "The graph moves left 18 units" is the most correct way to describe the effect on the graph.

Therefore the correct option is C.

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How many different passwords can come from the word Alabama

Answers

There are 5040 different passwords that can be created from the word "Alabama" when using all the letters.

To calculate the number of different passwords that can be created from the word "Alabama," we need to consider the total number of permutations.

The word "Alabama" contains 7 letters. To find the number of different passwords, we need to calculate the number of permutations of these 7 letters.

The formula to calculate permutations is given by:

nPr = n! / (n - r)!

Where n is the total number of items (letters in this case), and r is the number of items selected (length of the password).

For the word "Alabama," let's assume we want to create passwords of length 7, using all the letters.

n = 7 (number of letters in "Alabama")

r = 7 (length of the password)

Using the formula, we can calculate the number of permutations:

7P7 = 7! / (7 - 7)!

= 7! / 0!

= 7! / 1

= 7 × 6 × 5 × 4× 3 × 2 × 1

= 5040

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If the family plans to move to their retirement home in 10 years which pool would be more cost effective to install how do you know

Answers

The Watkins family should install a chlorine pool to be more cost-efficient.

How to compare to graphs?

In order to compare the two graphs we take a value on the x-axis and then measure the output of the two graphs. This can be done with the help of the graph or by substituting the value of x in the function to measure the output y.

As in the given graph, the x-axis denotes the year while the y-axis denotes the cost of maintaining the pool in that year.

If we compare the two of the given graph we will find the cost of maintaining a chlorine pool is less as compared to a salt water pool at x=10, therefore, after 10 years.

Hence, the Watkins family should install a chlorine pool to be more cost-efficient.

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76890 million in standard form

Answers

Answer:

76890000000 to 7.689 ×10^10

Step-by-step explanation:

5. Find AB, BC, and AC.
Part I: The length of line segment AC is 8x-9. Use the figure below to find the value of x. Show
your work. (1 point)
3x + 1
B
4x-5
C

Answers

To find the value of x, we can use the fact that the sum of the lengths of the line segments in a triangle is equal to the total length of the triangle.

In this case, we have:

AC = 8x - 9

AB = 3x + 1

BC = 4x - 5

The sum of the lengths of the line segments AB, BC, and AC should be equal to the total length of the triangle ABC. Therefore, we can set up the equation:

AB + BC + AC = total length of triangle ABC

(3x + 1) + (4x - 5) + (8x - 9) = total length of triangle ABC

Simplifying the equation, we get:

15x - 13 = total length of triangle ABC

Since we don't have any additional information about the triangle, we can't determine the exact length of the total triangle. Therefore, we cannot find the exact value of x using the given figure.

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An examination paper has 150 multiple-choice questions of one mark each, with each question having four choices. Each incorrect answer fetches -0.25 mark. Suppose 1000 students choose all their answers randomly with uniform probability. The sum total of the expected marks obtained by all these students is?

Answers

The sum of expected marks is given as follows:

9375.

How to obtain the expected marks?

Each question has four choices, hence the probability of choosing the correct choice is given as follows:

p = 1/4 = 0.25.

Then the expected number of correct answers is given as follows:

E(X) = 0.25 x 150

E(X) = 37.5.

Then the expected grade for a single student is given as follows:

37.5 - 0.25(150 - 37.5) = 9.375.

The expected sum for the 1000 students is then given as follows:

1000 x 9.375 = 9375.

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Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary. What is the rate if the base is 366 and the portion is 50?

Answers

Answer:

[tex]\Huge \boxed{\text{13.66$\%$}}[/tex]

Step-by-step explanation:

To find the rate, we need to use the following formula:

[tex]\LARGE \boxed{ \boxed{\text{Rate = $\frac{\text{Portion}}{\text{Base}}$$\times$100}}}[/tex]

Where "Portion" is the part of the whole and "Base" is the whole.

Now, let's plug in the given values:

[tex]\large \text{Rate = $\frac{\text{50}}{\text{366}}$$\times$100 = 13.66 (Rounded to the nearest tenth of a percent)}[/tex]

Therefore, the rate is 13.66% (rounded to the nearest tenth of a percent).

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Use four unit multipliers to convert 630 square yards to square inches.

Answers

We transformed 630 square yards to square inches, resulting in a value of 816,480 square inches.

To convert 630 square yards to square inches, we can utilize the following unit multipliers:

1 yard = 3 feet (since there are 3 feet in a yard)

1 foot = 12 inches (since there are 12 inches in a foot)

1 square yard = 1 yard × 1 yard = 3 feet × 3 feet = 9 square feet

1 square foot = 12 inches × 12 inches = 144 square inches

Now, we can set up the conversion using the unit multipliers:

630 square yards × (9 square feet / 1 square yard) × (144 square inches / 1 square foot) = 630 × 9 × 144 square inches

Simplifying the calculation:

630 × 9 × 144 square inches = 816,480 square inches

Therefore, 630 square yards is equal to 816,480 square inches.

By using the four unit multipliers and converting yards to feet and then to inches, we successfully transformed 630 square yards to square inches, resulting in a final value of 816,480 square inches.

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give an example of a real world word problem for a two step inequality

Answers

This example demonstrates a two-step inequality where we first express the savings equation and then solve for the variable 'w' to determine the number of weeks needed to reach the savings goal.

Understanding Inequality

Liam is saving money to buy a new video game console. He has already saved $50 and is saving $10 per week from his allowance. He wants to determine how many weeks it will take for his savings to reach at least $150.

Let:

number of weeks Liam saves = w

total amount of money he saves = S

Step 1: Express the first step of the problem as an inequality.

Liam saves $10 per week, so the amount of money he saves after w-weeks is 10w. We can write the first step of the inequality as:

10w + 50 ≥ 150

Step 2: Solve the inequality.

To isolate 'w', we can subtract 50 from both sides of the inequality:

10w ≥ 150 - 50

10w ≥ 100

Finally, divide both sides of the inequality by 10 to solve for 'w':

w ≥ 10

Therefore, it will take Liam at least 10 weeks to save enough money to reach $150 for the video game console.

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Alvin’s average paddling rate was ____

Answers

The required answer is: it is not possible to determine Alvin's average paddling rate based on the given information.

Given that table of terms Distance, Rate and  Time

Against the current d r - 2 km/hr 8 hours

With the current d r + 2 km/hr 3 hours

To set up an equation to solve for Alvin's average paddling rate, we can use the formula: rate = distance/time.

For the first row : (r - 2 km/hr) = d/8.

For the second row: (r + 2 km/hr) = d/3.

To solve for r, we can equate the rates against the current and solve for r.

(r - 2 km/hr) = (r + 2 km/hr)

Simplifying the equation, we get: r - 2 = r + 2.

By solving this equation, we find that the "r" terms cancel out, resulting in -2 = 2, which is not a true statement. This indicates that there is no solution for Alvin's average paddling rate in this scenario.

Therefore, it is not possible to determine Alvin's average paddling rate based on the given information.

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Determine the area of the shades region

Answers

The area of the shaded region is 61.76 square feet.

The given figure has a rectangle and circle.

Let us find the area of both rectangle and circles.

The length of rectangle is 14 ft and width is 8 ft.

Area = length × width

=14×8

=112 square feet.

The diameter of the circle is 8 feet because diameter is equal to width of rectangle.

Radius =diameter/2

= 4 ft.

Area of circle =πr²

=3.14×4²

=3.14×16

=50.24

To find the area of shaded region subtract area of circle from area of rectangle.

Shaded area = 112-50.24

=61.76 square feet.

Hence, the area of the shaded region is 61.76 square feet.

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a plant has an initial height of 7 inches and grows at a constant rate of 3 inches each year. a second plant also grows at a constant rate has an initial height of 2 inches and is 14 inches tall after 3 years. after how many years are the plants the same height.

Answers

Let "x" be the number of years it takes for the two plants to be the same height.The first plant has an initial height of 7 inches and grows at a constant rate of 3 inches each year. So, the two plants will be the same height after 5 years.

Therefore, after "x" years, its height will be:7 + 3xThe second plant also grows at a constant rate and has an initial height of 2 inches. After 3 years, its height is 14 inches.

Therefore, its rate is: Rate = (Final height - Initial height) / TimeRate = (14 - 2) / 3Rate = 12 / 3Rate = 4So, after "x" years, the second plant's height will be:2 + 4x.

To find when the plants are the same height, we can set the expressions for their heights equal to each other:7 + 3x = 2 + 4xSolving for "x":3x - 4x = 2 - 73x = -5x = -5/(-1). Therefore, x = 5, the two plants will be the same height after 5 years.

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In the beginning of BS 2077, Dolma deposited Rs 1,20,000 in her account a rate of 9% p.a. If she paid 5% of her interest as income tax, how much amount did she receive in the beginning of BS 2080?​

Answers

Dolma will receive Rs.153,486.69 at the beginning of BS 2080 as detailed below

What is effective after-tax rate of return?

The effective after-tax rate of return in this case is determined as the 9% deposit return rate multiplied by 1 minus the tax rate as stated below:

effective after-tax rate of return= gross rate of return*(1-tax rate)

The gross rate of return is the return on the deposit before considering the tax rate.

gross rate of return=9%

tax rate=5%

effective after-tax rate of return=9%*(1-5%)

effective after-tax rate of return=8.55%

The future value of the deposit after three years(beginning of 2077-2080=3years), is determined using the future value formula of a single cash flow below:

FV=PV*(1+r)^N

FV=future value after 3 years=unknown

PV=Rs.120,000

r=8.55%

N=3

FV=120000*(1+8.55%)^3

FV=120000*(1,0855)^3

FV=120,000*1.279055776375

FV=Rs.153,486.69

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Other Questions
By hand, as above, use Newton's method to find a zero for the function f(x) = x-x-1. Start at x = 16. (d) What is the approximate zero after 5 iterations, or steps? (e) The value of (x) after 5 steps is 1.21...-NN NN is one of 1,2, ..., 16. What is NN? ( After 7 steps, Newton's method will no longer increase accuracy of the approximate zero. The value of f(x) aftere 7 steps is 6.66...-NN. What is NN? Which of the following is likely to be an example of a type I error? A type Il error? Neither? 1. A randomized trial finds that subjects treated with a new analgesic medication had greater mean declines in their pain scores during a study than did those treated with placebo (P-0,03). 2. A 10-year study reports that 110 subjects who smoke do not have a greater incidence of lung cancer than 294 non-smokers (P - 0.31) 3. An investigator concludes thatOur study is the first to find that use of alcohol reduces the risk of diabetes in men less than 50 years of age (P Firm CVS has estimated sales (in millions) for the next four quarters as follows:Q1 Q2Q3Q4Sales (in millions) $ 70 $ 100 $ 120 $ 130Sales for the first quarter of the year after this one are projected at $110 million.Accounts receivable at the beginning of the year were $23 million. CVS has a 20-day collection period.CVSs purchases from suppliers in a quarter are equal to 30 percent of the next quarters forecast sales, and suppliers are normally paid in 20 days. Wages, taxes, and other expenses run about 10 percent of sales. Interest and dividends are $7 million per quarter.CVS plans a major capital outlay in the second quarter of $50 million. Finally, the company started the year with a $35 million cash balance and wishes to maintain a $25 million minimum balance. Short term borrowing rate is 5%, short term lending rate is 3%.a-Prepare cash collection table [ 15 Points]b- Prepare cash disbursement table [ 15 Points]c-Prepare cash budget table [ 20 Points]d-Prepare short-term financial plan. [ 20 Points]e- What is the amount of cash generated by short-term financing? [ 5 Points] let g be a digraph and let a, b, c v(g). prove that dist(a, c) = dist(a, b) dist(b, c) iff b is on a shortest path from a to c. Which of the following is a problem associated with matrix structures More costly than traditional structures Poor flexibility Poor communication none of the above Which of the following have their valence electrons in the same shell?A. Li, N, FB. B, Si, AsC. N, As, BiD. He, Ne, F eys prate QUESTION 1 10 points a) Show that any two non-zero vectors in R2 that are orthogonal to each other are also linearly independent in R2. b) Show that any n non-zero vectors in Rn that are mutually orthogonal to each other are also linearly independent in R. 4 times a number is 45 less than the square of that number. Find the negative solution. EXAMINE THE PATTERN. frictional unemployment can result when ____________. (check all that apply.) The oil extraction company needs to extract Q units of oilbetween two periods in an efficient manner. What would be themaximum amount of Q so that the entire oil reserve is extractedonly during the Why are activities drawn in a serial relationship in a network diagram? a The activities use different resources. b. The activities are independent of each other. c. From a technical standpoint, the activities must be performed in that sequence. d. The order of completion doesn't matter. CA-340 Chapter 15. Statistics Class Activity 15C Using Random Samples 1. At a factory that produces computer chips, a batch of 5000 computer chips has just been pro- duced. To check the quality of the computer chips, a random sample of 100 computer chips is selected to test for defects. Of these 100 chips, 3 were found to be defective. Based on these results, what is the best estimate you can give for the number of defective computer chips in the batch of 5000? Find several different ways to solve this problem, including ways that elemen- tary school children might be able to develop 3) [20 Points] Given the IVP:Y" 4y' 5y = 70, y(0) = 0, y'0) = 10. A) Use the Laplace transform to find Y(s). B) Find the solution of the given IVP. Which of the following statements about groundwater is TRUE? 1 Only plants use groundwater, as the roots can absorb them easily. 2 Groundwater is extremely polluted and is unfit for consumption. 3 Groundwater is as salty as the sea water and hence unfit for consumption. 4 Groundwater can be used by humans for consumption after basic water treatment. 5 dimensions of the business environment are Economic- , Social, Global, Technological, Competitive.?Define each business dimension and describe/explain how that dimension has impacted U.S. based businesses in light of Covid-19? Jane Frost wants to receive yearly payments of $16,000 for 8years. How much must she deposit at her bank today at 10% interestcompounded annually a 50 f capacitor is fully charged to 40 c and then connected in series to a 20 mh inductor and an open switch. after the switch is closed, what is the maximum current through the inductor? 00 The series 17 is n - 1 and its sum is n = 2 divergent convergent Submit Answer Known) Hint(s) O A simple random sample of 40 items resulted in a sample mean of 10. The population standard deviation is a = 7. Round your answers to two decimal places. a. What is the standard error of the mean, Oz? ob. At 95% confidence, what is the margin of error? D