A number is raised to the third power, then subtracted from 15 to get 7. What is the number squared?

Answer:

x = 122°

Step-by-step explanation:

There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .

Exterior angle is an angle formed from one side of the polygone and the extended side so

<A and <B are remot angle and <BCD is exterior angle .

And we write the equetion as

<A + <B = <BCD

58° + 64° = x°

122° = X°

so the exterior angle ( x ) measures 122° .

We need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.

What is ASA congruence of triangle?

The two triangles are considered to be congruent according to the ASA rule if any two angles and the side located between the angles of one triangle are equal to the corresponding two angles and side located between the angles of the second triangle.

We are given the following:

1. ∠A ≅ ∠X

2. ∠C ≅ ∠Z

Now, in order to show the triangles as congruent by ASA congruence of triangle, we need the side which is in between both the angles.

The sides in between both the angles are AC and XZ.

Hence, we need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.

Learn more about ASA congruence of triangle from the given link

https://brainly.com/question/9513034

#SPJ1

Using proportions, it is found that there would be 500,000 mites.

The rule of three is:

1 dust mite - \(2.5 \times 10^{-4}\) m.

x dust mites - \(1.25 \times 10^2\) m

Applying cross multiplication:

\(2.5 \times 10^{-4}x = 1.25 \times 10^2\)

\(x = \frac{1.25 \times 10^2}{2.5 \times 10^{-4}}\)

\(x = 500000\)

There would be 500,000 mites.

A similar problem is given at https://brainly.com/question/24372153

The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

Learn more about cost price here:

https://brainly.com/question/26008313

#SPJ1

The sound intensity level should be decreased by 2 dB to carry the studio into consistency with the rules.

A decrease of 2 dB can be accomplished by one or the other by closing down a portion of the machines (since the sound intensity level declines by 6 dB for each splitting of the sound power) or by introducing sound-sealing materials.

Thus, to carry the studio consistent with the rules, 16 machines would need to be closed down.

It's vital to follow well-being and security rules in the working environment to guarantee the prosperity of representatives and forestall hearing harm. Decreasing the number of machines or introducing soundproofing materials can bring the studio into consistency.

Learn more about sound intensity levels:

https://brainly.com/question/30101270

#SPJ4

Answer:

60

Step-by-step explanation:

divide 400 by 40 you get the answer 10

now multiply 6 by 10 you get the answer 60 thats is the total pear fruit

Perimeter = a + b + c = 30

Area = 1/2 x a x b = 30

Multiples of 30: 2, 3, 5, 6, 10, 12, 15

For perimeter c = 30- (a+b)

C= sqrt( a^2 + b^2)

Using the possible combinations of the above:

5 and 12:

C = sqrt(5^2 + 12^2) = 13

5 + 12 + 13 = 30 for the perimeter

Area = 1/2 x 5 x 12 = 30

The sides are 5, 12 and 13 cm

Answer:

12 cm, 5 cm,  13 cm

Step-by-step explanation:

Sides of triangle:

Perimeter:

Area:

As per Pythagorean theorem, side c= √(a²+b²):

Considering ab = 60

Again using ab= 60 to find out sides:

Solving the quadratic equation, its positive root is:

Then we get the rest:

To determine the monthly payment on a vehicle loan financed at 3.99% per year compounded monthly for 4 years, additional information is needed.

To calculate the monthly payment on a vehicle loan financed at an interest rate of 3.99% per year compounded monthly for a duration of 4 years, we need to utilize financial formulas or a Time Value of Money (TVM) solver.

However, the information provided is incomplete, as several variables are missing. To calculate the monthly payment (PMT), we need the following values: N (number of periods), PV (present value or loan amount), FV (future value or residual value), P/Y (number of compounding periods per year), and C/Y (number of payment periods per year).

Once these values are provided, we can either use financial formulas like the amortization formula or utilize a TVM solver on a financial calculator or spreadsheet software to find the monthly payment amount. Please provide the missing values to determine the precise monthly payment.

To learn more about “future value” refer to the https://brainly.com/question/30390035

#SPJ11

The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

Learn more on two-dimensional motion here: https://brainly.com/question/31370681

#SPJ4

Answer:

1/4x^2 + 7x + 49

Step-by-step explanation:

Use binomial theorem (a + b)^2 = a^2 + 2ab + b^2 to expand (1/2x + 7)^2

Answer:

x= 18.29

Step-by-step explanation:

- distribute then simplify- .75x + 12 = 2.5x - 20

- subtract .75x from each side- 12 = 1.75x - 20

- add 20 on each side- 32 = 1.75x

- divide each side by 1.75x- x= 18.29

not 100% sire if thats correct

\(0.75\left(x+16\right)=3-0.5\left(x-8\right)\)

\(0.75\left(x+16\right)\cdot \:100=3\cdot \:100-0.5\left(x-8\right)\cdot \:100\)

\(75\left(x+16\right)=300-50\left(x-8\right)\)

\(75x+1200=-50x+700\)

\(5x+1200-1200=-50x+700-1200\)

\(75x=-50x-500\)

\(75x+50x=-50x-500+50x\)

\(125x=-500\)

\(\frac{125x}{125}=\frac{-500}{125}\)

\(x=-4\)

The statistic T-test, is independent test on a random sampling of 20 fuses. As t(0.1,19) < t(calculated value), so the claim of the manufacturer of an electrical fuse is valid.

We have, the manufacturer of an electrical fuse claims that fuse's link will break with a 10% electrical overload within 12.31 minutes. So, μ = 12.31 min

Sample size, n = 20

mean time for link breakage, M = 10.50 minutes

Standard deviations, σ = 2.61 minutes

Since the sample follows a student T distribution, the value of t for the sample = X. So, T test formula is t = ( M - μ )/σ/√n

=> t = (12.31 - 10.59)/2.61/√20

= 0.659×√20

=> t = 2.95

Degree of freedom = n - 1 = 19

For one tailed test 0.1 , so using t distribution table, t(0.1,19) = 1.729. Also, we see 2.95 < 1.729. Since, t(0.1,19) < t(sample), so it is significant results and null hypothesis is true. Hence the manufacturers claim is valid.

For more information about t-test, visit :

https://brainly.com/question/14099859

#SPJ4

Answer:

9.6

Step-by-step explanation:

20%of 8=8*20/100 =1.6 and the new price of the cashews is1. 6+8=9.6

The population of a city is increasing at a rate of 4% each year. In 2020, there were. 236,000 people in the city.

Given, In 2015, the population of the town decreased by 10%, so \(8250 x 10/100 = 825\)  people left the town, bringing the population down to \(8250 - 825 = 7425.\)

From 2015 to 2020, the population increased by 15% so \(7425 x 15/100 = 1113.75\) people came back to the town, bringing the population to \(7425+1113.75 = 8538.75\)

To learn more about statistical sample visit:

brainly.com/question/29449198

#SPJ4

The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.

Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.

Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.

Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.

The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.

Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.

This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.

Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.

Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.

Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).

For similar question on mean length.

https://brainly.com/question/16971437  

#SPJ8

Answer:

2

Step-by-step explanation:

Domain is the Y's of the pairs

All the pairs have 2 as the y value, therefore domain is 2

4x+1=6x-29

vvvvvvvvvv

-2x=-30

x=-15

4 x -15= -60

angle 3 =59 degrees

angle 6= 119 degrees

Answer:

-3

Step-by-step explanation:

because as you vo more to the negative side the less.it gets and more to the positive side it gets moe

According to the information presented in this video, all of the following activities are likely to occur in the information requirements determination​ (IRD) phase of systems analysis except beta testing.

According to the information presented in this video, all of the following activities are likely to occur in the information requirements determination (IRD) phase of systems analysis except beta testing. The IRD phase of the systems analysis process is used to determine information requirements for the system being developed. The IRD process identifies what information is needed to support business functions and operations.

The activities that are carried out during the IRD phase of the systems analysis process include: Reviews of paper-based forms and reports Interviews with system users Observation of system use Meetings with the development team Therefore, the answer is option C. Beta testing is not a part of the IRD phase of systems analysis.

To know more about information visit:

brainly.com/question/28259519

#SPJ11

c is the answer i hope this help

Answer:

sorry if I'm wrong but i think it's the first one 3.0 x 10^6

Step-by-step explanation:

The populations from which the samples are obtained must be normally distributed.

Sampling is done correctly. Observations for within and between groups must be independent.

The variances among populations must be equal (homoscedastic).

Data are interval or nominal.

Answer:

125g butter

250g caster sugar

100g flour

125g walnuts

5 egg whites

I THINK

Answer:

Step-by-step explanation:

just do x2.5

Answer:

 3.416 x 10^(" + * + 1)

Step-by-step explanation:

The exponents of (5.6 x 10") (6.1 x 10* ) seem incorrect.  Whatever they are, do the following:

1) multiply 5.6 times 6.1.  Result = 34.16

Add the two exponents:  (" + *)

The result is 34.16 x 10^(" + *)

Then move the decimal point one to the left and add 1 to the 10 exponent:

3.416 x 10^(" + * + 1)

The temperature was 3 degrees colder in the afternoon.

Given the following temperature values

• Temperature of thermometer in the morning = -2°C.

• Temperature of thermometer in the evening = -5°C.

Find the change in temperature

Note that the lower the temperature, the colder it will be and the higher the temperature, the warmer.

Since the temperature in the afternoon is lower than the temperature in the morning, hence the temperature is colder in the afternoon.

Based on the explanations above we can conclude that the temperature was 3 degrees colder in the afternoon.

Answer:

1111...................... ................

To solve the problem, we can use trigonometry and create a right triangle with one leg being the height of building B, the other leg being the distance between building A and B, and the hypotenuse being the line of sight from the top of building A to the top of building B.

Let's call the height of building B "h". Using trigonometry, we can determine the length of the other leg:

tan(30°) = h / x => x = h / tan(30°)

tan(60°) = h / (10√3 - x) => x = 10√3 - h / tan(60°)

Setting these two expressions equal to each other and solving for h, we get:

h / tan(30°) = 10√3 - h / tan(60°)

h (1/tan(30°) + 1/tan(60°)) = 10√3

h = 10√3 / (1/tan(30°) + 1/tan(60°)))

Plugging in the values, we get:

h = 10√3 / (1/(1/√3) + 1/√3)

h = 20√3

Answer:

Step-by-step explanation:

Let's call the height of building A "hA" and the height of building B "hB". We can use trigonometry to solve for hB.

First, let's draw a diagram:

   B

  /|

hB/ |

/  |

/ 60°\

-----

|   /

|  /

| /

|/

A

We know that the distance between building A and B is 10√3. Let's call this distance "d".

Using the angle of depression of 30°, we can form a right triangle with a leg of hA and a hypotenuse of d. The opposite angle is 60°, so the adjacent side is hA/tan(60°) = hA/√3.

Using the angle of depression of 60°, we can form another right triangle with a leg of hB and a hypotenuse of d. The opposite angle is 30°, so the adjacent side is hB/tan(30°) = hB√3.

We know that the sum of the heights of building A and B is equal to the distance between them, so hA + hB = d.

Putting all of this together, we can set up an equation:

hA/√3 + hB√3 = 10√3

Multiplying both sides by √3:

hA + 3hB = 30

But we also know that hA + hB = d = 10√3, so we can substitute:

hB = 10√3 - hA

Substituting into the previous equation:

hA + 3(10√3 - hA) = 30

Simplifying:

-2hA + 30√3 = 30

-2hA = 30 - 30√3

hA = (15√3 - 15)/(-1) = 15 - 15√3

Finally, we can use hA + hB = 10√3 to solve for hB:

hB = 10√3 - hA = 10√3 - (15 - 15√3) = 25√3 - 15

Therefore, the height of building B is 25√3 - 15.

Answer:

\(f(x) = 144\)

Step-by-step explanation:

This problem deals with a function. All this question is asking is to plug in -4 every time an x appears.

So, let's do that:

\(f(-4) = 10(-4)^{2} + 3(-4) - 4\)

\(f(-4) = 10(16) - 12 - 4\)

\(f(-4) = 160 - 16\)

\(f(-4) = 144\)