Is the ordered pair (-5, 4 a solution of
the system of linear equations whose
graph is shown? Explain your reasoning.

Answer:

Step-by-step explanation:

Neither.

It is a complex number. The - sign is the culprit. sqrt(-144) = i * sqrt(144) = 12 i

The "i" is an imaginary representation for the square root of -1. It is a definition for sqrt(-1). So a new category of number has been created. The ancients would have been profoundly surprised to learn that such a thing existed.

The value of x is approximately 2.8462° and the value of maN is 37°.

To find the value of x and maN, we need to use the given information. According to the question, maN is equal to (13x)°.
To solve for x, we can set up an equation:
maN = (13x)°
Now, since we know that maN is equal to 37°, we can substitute this value into the equation:
37° = (13x)°
To isolate x, we divide both sides of the equation by 13:
37° / 13 = (13x)° / 13
This simplifies to:
2.8462° ≈ x°
Therefore, the value of x is approximately 2.8462°.
Now, let's find the value of maN. We already know that maN is equal to (13x)°. Substituting the value of x that we just found, we get:
maN = (13 * 2.8462)°
Simplifying the multiplication:
maN = 37°
So, the value of maN is 37°.
For more such questions on approximately

https://brainly.com/question/28521601

#SPJ8

Answer:

False

Step-by-step explanation:

45/100 × 72 = 32.4

45/72 × 100 = 62.5

62.5 ≠ 32.4

Answer:

false

Step-by-step explanation:

45/100x72=32.4%

45/72X100=62.5%

The height of the prism is 4.93 meter with a square base and having a volume of 10 m³

Volume is the amount of space occupied by a three dimensional shape or object. Examples of shape with volume are cone, cube, cuboid, pyramid, prism and so on.

The volume of a pyramid = (1/3) * base area * height

Let base = b

height = 2 * base = 2b

Since volume is 10 m³, hence:

10 = (1/3) * b * b * 2b

b = 2.47 m, h = 2(2.47) = 4.93 m

The height of the prism is 4.93 meter with a square base and having a volume of 10 m³

Find out more on volume at: https://brainly.com/question/1972490

#SPJ1

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

A polynomial that satisfies the given conditions is f(x) = a(x + 2)^2(x - 2)^2x^3, where a is a constant.

To find the polynomial f(x) that meets the given requirements, we can start by noting that since -2 and 2 are zeros of multiplicity 2, the factors (x + 2)^2 and (x - 2)^2 must be included in the polynomial. Additionally, since 0 is a zero of multiplicity 3, the factor x^3 must also be included.

So far, we have the polynomial in the form f(x) = a(x + 2)^2(x - 2)^2x^3, where a is a constant that we need to determine.

To find the value of a, we can use the fact that f(-1) = 45. Plugging in x = -1 into the polynomial, we get:

f(-1) = a(-1 + 2)^2(-1 - 2)^2(-1)^3

= a(1)^2(-3)^2(-1)

= 9a

Setting 9a equal to 45, we can solve for a:

9a = 45

a = 5

So the polynomial f(x) that satisfies the given conditions is:

f(x) = 5(x + 2)^2(x - 2)^2x^3.

For more questions like Polynomial click the link below:

https://brainly.com/question/11536910

#SPJ11

In the triangle ABC, i) ABC = 52.12° ii) BCA = 31.08° and iii) AB = 8.11cm.

Based on the provided information, ∠ BAC = 96.8°; AC = 12.4cm, and BC = 15.6cm

i) According to the law of sine,

Sin ∠A/a = Sin ∠B/b = Sin ∠C/c where a is the length opposite to ∠A, and so forth.

Hence, based on the information, ∠ABC = ∠B

Sin ∠B/AC = Sin ∠A/BC

Sin ∠B/12.4 = Sin 96.8/15.5

Sin ∠B = (Sin 96.8/15.5)*12.4

∠B = Sin^-1((Sin 96.8/15.5)*12.4)

∠B = 52.12°

ii) As the sum of interior angles of a triangle is 180°. ∠As BCA = ∠C

∠A + ∠B + ∠C = 180

96.8 + 52.12 + ∠C = 180

∠C = 31.08

iii) According to the law of cosine,

c^2 = a^2 + b^2 – 2ab cos C where C is the angle opposite to c.

BC^2 = AB^2 + AC^2 – 2(AB)(AC)cos98.6

15.6^2 = AB^2 + 12.4^2 – 2(AB)(12.4)cos98.6

Solving for AB,

AB = 8.11cm

Learn more about Law of sine:

https://brainly.com/question/27174058

#SPJ4

The complete question is;

Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is (3 y + 6) centimeters, the length of E B is (5 y minus 10) centimeters, and the length of E C is (2 y + 4) centimeters. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm

Answer:

60 cm. Option D is the correct answer

Step-by-step explanation:

From the image, the diagonals of the parallelogram bisect each other. Thus;

AE = EC and BE = ED

We are given that;

DE = 3y + 6 cm and BE = 5y - 10 cm, thus;

3y + 6 = 5y - 10

Rearranging, we have;

5y - 3y = 6 + 10

2y = 16

y = 16/2

y = 8 cm

The brace that bisects point B and D is BD. So, BD = BE + DE

So, BD = 5y - 10 + 3y + 6

BD = 8y - 4

Putting 8 for y to obtain;

BD = 8(8) - 4

BD = 64 - 4

BD = 60cm

Answer:

60 cm

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

25% of 20 is 5

The value of a is \(1 +/- sqrt(16 - 16a).\)

Let’s begin by writing out the given equation: \(ax3 + x2 – 2x + 4a – 9\). We can rearrange this equation to make it easier to solve: (x+1)(ax2 -2a + 4). This indicates that (x+1) is a factor of the equation, and thus we can set the equation equal to 0. By doing so, we can solve for a.

We can now write this equation as 0 = ax2 -2a + 4. We can use the quadratic equation to solve for a. We first need to calculate the discriminant, which is equal to b2 - 4ac. In this case, b2 is (-2)2 = 4 and ac is a(4) = 4a. Thus, the discriminant is equal to 4 - 16a.

Next, we can solve for a using the quadratic equation. The equation is: \(a = [-b +/- sqrt(b2 - 4ac)]/2a\). In this case, \(a = [-(-2) +/- sqrt(4 - 16a)]/2\). By simplifying, we get \(a = [2 +/- sqrt(16 - 16a)]/2.\) This can be further simplified to a = 1 +/- sqrt(16 - 16a). Therefore, the value of a is∀⊅\(1 +/- sqrt(16 - 16a).\)

Learn more about quadratic equation here:

https://brainly.com/question/30098550

#SPJ4

Answer:

A = 1

B = 5

Step-by-step explanation:

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer: height = 13.9 cm

Step-by-step explanation:

The base area of a cone is the area of a circle. Given that base area = 98.56 cm^2

Base area = πr^2

Substitutes the value into the formula

98.56 = 22/7 × r^2

Cross multiply

689.92 = 22r^2

r^2 = 689.92/22

r = sqrt ( 31.36 )

r = 5.6 cm

Also, the curved surface area of a cone is πrL

Where the given value is 264 cm^2

Substitutes the value into the formula

264 = 22/7 × 5.6 × L

Where L = slant height

Cross multiply

123.2L = 1848

L = 1848 /123.2

L = 15 cm.

Using pythagorean theorem to find the height H of the cone.

H^2 = L^2 - r^2

H^2 = 15^2 - 5.6^2

H = sqrt( 193.64 )

H = 13.9 cm

Step-by-step explanation:

hope it is helpful to you

Answer:

2√21

Step-by-step explanation:

I basically simplify the radical by breaking the radical up into products of the know factors, assuming the real numbers.

Answer: Sally's school is 2,500 meters long. Hope this helps!

Answer:

2500metres

Step-by-step explanation:

we all know that 1km is 1000 metres

Answer:

u = 150

Step-by-step explanation:

Number of vertices:

10

Find the sum of the interior angles:

180(n - 2)

180(10 - 2)

180(8)

1440

To find u:

u = 1440 - (130 + 145 + 160 + 150 + 130 + 150 + 125 + 155 + 145)

u = 1440 - (1290)

u = 150

The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To learn more about probability click here:

brainly.com/question/31828911

#SPJ11

The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To learn more about probability click here:

brainly.com/question/31828911

#SPJ11

Answer:

a.

f(1)=6; f(n)=6+d(n-1), n>0

Step-by-step explanation:

We are given that

First layer has squares, a=6

Second layer has squares, a2=12

We have to find  an arithmetic explicit formula to determine the number of squares in each layer.

\(d=a_2-a_1=12-6\)

nth term of an A.P

\(a_n=a+(n-1)d\)

Substitute the value of a

Now, we get

\(a_n=6+(n-1)d\)

f(1)=a=6

\(a_n=f(n)=6+d(n-1)\)

Hence, option a is correct.

a.

f(1)=6; f(n)=6+d(n-1), n>0

Answer:

f(1) = 6; f(n) = 6 + d(n − 1), n > 0

Step-by-step explanation:

I took the test on flvs and got it right.

100% Guaranteed Correct :)

, Hope this helps

Have a great day!!

Answer:

w = -10

Step-by-step explanation:

\(w+4=(-6)\\\\w+4=-6\\\\w+4-4=-6-4\\\\\boxed{w=-10}\)

Hope this helps.

Using Percentage formula , The change in the price of a jar of peanut butter is 15.02%.

Percentage : It is defined as a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.

First of we need to calculate difference between initial price and final price to

get the change in price.

Initial Price of jar of peanut butter = $ 5.99

Final price of jar of peanut butter = $ 6.89

Change in price of a jar of peanut butter = final price of jar of peanuts butter - initial price of jar of peanuts butter

= $ 6.89 - $ 5.99 = $ 0.9.

Percent change in price = ((Change in Price)/(initial price))× 100

percent change = (0.9/5.99)× 100 = 15.02

Hence, 15.02% is the change in price of a jar of peanuts butter.

To, learn more about percentage visit :

https://brainly.com/question/16797504

#SPJ4

To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

know more about vertical asymptote.

https://brainly.com/question/29260395

#SPJ11

Answer:   A

Step-by-step explanation:

Answer:

B.) C(d)= 12d+42

Step-by-step explanation:

A flat fee means it is only paid once and doesn't increase or decrease.

The gigabytes of data fluctuate how much you pay the 12 dollar amount.

Meaning 12d represents the price of data and +42 shows the flat rate.

Overall giving us the equation C(d)= 12d+42.

Answer:

256,800 I believe

Step-by-step explanation:

you add up all the numbers and multiply by 4

dear I think the figure under the root is 144

14²- √144

(14 ×14) -12

the square root of 144 is 12

196 -12

184

Answer: "dookie dookie dookie"

*picture of the most trash game

Answer:

y=7x+50

Step-by-step explanation:

y=mx+c

m=7 (9-1/-3+7)

----------

1=7(-7)+c

c=50

Step-by-step explanation:

Volume of Container A

= (8cm)(8cm)(12cm) = 768cm³.

Volume of water = 2/3 * Volume of Container A

= (2/3) * 768cm³ = 512cm³.

Base Area of Container B

= (10cm)(10cm) = 100cm².

Hence Depth of water in Container B

= 512cm³ / 100cm² = 5.12cm.

a) The random variable is the life of a dishwasher, denoted as X, which represents the number of years a dishwasher will last.

b) To find the probability that a dishwasher will last less than 66 years, we need to calculate the z-score for 66 years using the given mean and standard deviation values. Using the z-score formula, we find that the z-score for 66 years is -429.6. We can then use a standard normal distribution table or calculator to find the probability, which is very close to zero.

c) To find the probability that a dishwasher will last between 88 and 1010 years, we need to calculate the z-scores for both 88 and 1010 using the given mean and standard deviation values. The z-scores for 88 and 1010 are -1019.2 and -177.6, respectively. We can then use a standard normal distribution table or calculator to find the probabilities, which are also very close to zero. The probability that a dishwasher will last between 88 and 1010 years is the difference between these probabilities, which is also very close to zero.

Learn more about the probability :

https://brainly.com/question/30034780

#SPJ11