Find the value of the expression

Step-by-step explanation:

[tex](9) {}^{2} = (5) {}^{2} + (x) {}^{2} \\ 81 = 25 + {x}^{2} \\ {x}^{2} = 56 \\ x = 2 \sqrt{14} = 7.4[/tex]

Answer:

Complementary angles are 90°

Supplementary angles are 180°

Vertical angles are congruent

Answer:

Complementary Angles: add up to 90

Supplementary Angles: add up to 180

Vertical Angles: are congruent(equal)

Step-by-step explanation:

Answer:

4:50 PM

Step-by-step explanation:

I hope it helps you

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

what do u need help with

Answer: C. the units of measurement on both sides of the constraint match.

Step-by-step explanation:

A constraint simply refers to the condition with regards to an optimization problem which must be satisfied by the solution.

When formulating a constraint, care must be taken to ensure that the units of measurement on both sides of the constraint match.

It should be noted that it's not necessary for all the objective function coefficients to be included. Also, there must be inequalities in the expression. Therefore, the correct option is C.

Answer:

x² + y² = 1

Step-by-step explanation:

A circle is the locus of a point such that its distance from a fixed point (known as the origin) is always constant. The general equation of a circle is given as:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center of the circle and r is the radius of the circle.

Given that the plane is 1 unit from the point (0,0). Therefore the radius of the circle is 1 unit and the center of the circle is (0, 0). Therefore the equation of the circle is:

[tex](x-0)^2+(y-0)^2=1^2\\\\x^2+y^2=1[/tex]

Answer:

I DONT SEE TRIANGLES

Step-by-step explanation:

Answer:

try letter B

Step-by-step explanation:

and can you be my friend

Answer:

Step-by-step explanation:

C the quotient would be N/12 not 12/N

Answer:  the answer is #31.35

Step-by-step explanation:

Answer:

Option d

Step-by-step explanation:

A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal are given. A quadrilateral can be constructed uniquely if the lengths of its three sides and two diagonals are given. A quadrilateral can be constructed uniquely if its two adjacent sides and three angles are given.

So according to this, it could be option d. A rhombus with two acute angles and sides of length 12ft.

Hope it helps :)

Though I may be wrong :( [Sorry if it is]

P.S.:If you're still not sure if it's correct, you can refer to the para above and choose your answer

Have a great day!

Answer:

267.75

Step-by-step explanation:

i think this because that what I got by multiplying 3 1/2 x 9 x 8 1/2

Answer:

Big pizzas = B. Normal pizzas = N;

10B + 5N = 80

Step-by-step explanation:

Required equation that matches the given situation is 5x+10y = 80

Let the number of individual pizza be x

Let the number of large pizza be y

Cost to be spent is $80

Cost of individual pizza = $5

Cost of large pizza = $10

The equation matched this situation is 5x + 10y = 80.

Hence, the required equation is 5x + 10y = 80

Learn more about equation here:

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Answer:

Surface area of the given pyramid = 386.16 cm²

Step-by-step explanation:

Surface area of the given pyramid = Area of the square base + Area of the lateral sides

Area of the square base = (Side)²

                                        = (12)²

                                        = 144 cm²

Area of the lateral side = [tex]\frac{1}{2}(\text{Base})(\text{Lateral height})[/tex]

Lateral height of the triangle = [tex]\sqrt{6^2+(9.1)^2}[/tex] [By applying Pythagoras theorem]

                                                = [tex]\sqrt{82.81+36}[/tex]

                                                = [tex]\sqrt{118.81}[/tex]

                                                = 10.9 cm

Area of the lateral side = [tex]\frac{1}{2}(12)(10.9)[/tex]

                                      = 60.54 cm²

Surface area of the given pyramid = Area of the base + 4(Area of one lateral side)

                                                          = 144 + 4(60.54)

                                                          = 144 + 242.16

                                                          = 386.16 cm²

Answer:

Abigal is correct, it it 4:3

Step-by-step explanation:

4:3 because 40:30 is only 10 times larger than the 4:3

Answer:

Jocelyn's plane travelled 3650 miles.

Step-by-step explanation:

mph stands for miles per hour.

Let's set up an equation.

total miles = speed(hours)

Jocelyn's plane travelled 500 mph for 7.3 hours.

total miles = 500(7.3)

Multiply.

total miles = 3650

Jocelyn's plane travelled 3650 miles.

Hope this helps!

Answer:

simple interest

Step-by-step explanation:

An additional amount of money added to borrowed money only on the principal could be simple interest.

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

Since, the initial amount (also called as principal amount) is P, and the interest rate is R% per unit of time, it is left for T unit of time for that compound interest.

we can conclude that the additional amount of money added to borrowed money only on principal is simple interest.

Learn more about simple interest here:

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Answer:

The 95%-confidence interval for the percentage of history majors at U.S. universities who knew Abraham Lincoln's first Vice President is (10.5%, 12.1%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

6250 students, 11.3% knew Abraham Lincoln's first vice-president.

This means that [tex]n = 6250, \pi = 0.113[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.113 - 1.96\sqrt{\frac{0.113*0.887}{6250}} = 0.105[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.113 + 1.96\sqrt{\frac{0.113*0.887}{6250}} = 0.121[/tex]

As percentages:

0.105*100% = 10.5%

0.121*100% = 12.1%

The 95%-confidence interval for the percentage of history majors at U.S. universities who knew Abraham Lincoln's first Vice President is (10.5%, 12.1%).

Answer:

15x + 190 >= 400

* >= means greater than or equal to *

at least 14 friends

Step-by-step explanation:

without the inequality it'd be 15x + 190 = 400

but since you want it to be at least 400 you change the = to the greater than or equal to sign

15x + 190 = 400 * subtract 190 from both sides*

15x = 210 *divide both sides by 15*

x = 14

Answer:

[tex]4x^2y(x^2y - 4x^2y+2)[/tex]

Step-by-step explanation:

Given

[tex]4x^4y^2-16x^4y^2+8x^2y[/tex]

Required

Factor

[tex]4x^4y^2-16x^4y^2+8x^2y[/tex]

Factor out [tex]4x^2[/tex]

[tex]4x^2(x^2y^2 - 4x^2y^2+2y)[/tex]

Factour out y

[tex]4x^2y(x^2y - 4x^2y+2)[/tex]

Step-by-step explanation:

For y = 2^x:

f(-3) = 2^-3. f(-2) = 2^-2. f(-1) = 2^-1

= 1/8 = 1/4. =1/2

f(0) = 2^0 f(1) = 2^1. f(2) = 2^2

= 1 = 2. =4

f(3) = 2^3

=8

For 3y = 7x + 3, y= (7x+3)/3

f(-3) = [7(-3)+3] / 3. f(-2) = [7(-2)+3] / 3

= -6. = -11/3

f(-1) = [7(-1)+3] / 3. f(0) = [7(0)+3] / 3

= -4/3 = 1

f(1) = [7(1)+3] / 3. f(2) = [7(2)+3] / 3

= 10/3 = 17/3

f(3) = [7(3)+3] / 3.

= 8

point of intersection, where y=2^x and 3y = 7x + 3 has the same x and y coordinate

Answer: (0,1) and (3,8)

Answer: b

Step-by-step explanation: divide and round

Answer:

I believe the best answer is A

Answer:

0.2835 = 28.35% probability that exactly two of them require warranty repairs.

Step-by-step explanation:

For each TV, there are only two possible outcomes. Either they require warranty repairs, or they do not. The probability of a TV requiring warranty repairs is independent of any other TV, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10% require repair to be done under the warranty during the first year service.

This means that [tex]p = 0.1[/tex]

A particular dealership sells 18 such TV per week.

This means that [tex]n = 18[/tex]

a) What is the probability that exactly two of them require warranty repairs?

This is [tex]P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{18,2}.(0.1)^{2}.(0.9)^{16} = 0.2835[/tex]

0.2835 = 28.35% probability that exactly two of them require warranty repairs.

Answer:

2

Step-by-step explanation:

Answer:

D. 42 units

Step-by-step explanation:

The perimeter of the rectangular shown on the coordinate plane = sum of all it's four sides

= 2(length + width)

Length = 11 units

Width = 10 units

Plug in the values

Perimeter = 2(11 + 10)

= 2(21)

= 42 units

Answer:

D. f(x)=x^2​

Step-by-step explanation:

Answer:

74,76,78,80,82

Step-by-step explanation: even numbers are whole numbers that have 0,2,4,6,8 in their ones place

9514 1404 393

Answer:

  6%

Step-by-step explanation:

The fee can be found from the ratio of fee to price:

  $7.80/$130 = 0.06 = 6%

The restocking fee is 6% of the price of the item.

14:1

If im wrong oops

Answer: 1:14

Step-by-step explanation:

28/2 = 14