What is the value of x? Round to the nearest tenths place.

Answer:

38°

Step-by-step explanation:

hope this answer helps you

Answer:

21) n= -13 so replace the n with -13. you do 18- -13 which is 31

22) 9.45

23)  -2.2

Answer:

21.   31.

22.  9.45

23.  -2 1/5.

Step-by-step explanation:

18 - (-13)

= 18 + 13

= 31.

Answer:

y=0.13x^2+13.68x+750

this the function rule

Step-by-step explanation:

brainliest

Answer:

im the other

make sure u give it to tfue_the_god

Step-by-step explanation:

Answer:

Step-by-step explanation:

KL=1/2 YX=1/2×56=28

YZ=2JK=2×38=76

LZ=1/2YZ=1/2×76=38

The distance from the center of the Earth to the point where the net gravitational force is zero is one-ninth the distance from the Earth to the Moon.

Let's assume that the distance from the center of the Earth to this point is denoted as x.

Given:

Mass of the Moon (M\(_{moon}\)) = 1/81 × M\(_{earth}\)

Distance from Earth to Moon (d\(_{moon}\)) = distance on center

According to the principle of gravitational equilibrium, the gravitational force from the Earth and the gravitational force from the Moon acting on an object at that point must balance out. Mathematically, we can express this as:

F\(_{earth}\) = F\(_{moon}\)

The gravitational force between two objects can be calculated using Newton's law of universal gravitation:

F \(_{gravity}\)= G × (m₁ × m₂) / r²

Where:

G is the gravitational constant (approximately 6.67430 x 10⁻¹¹m²/kg/s²)

m₁ and m₂ are the masses of the two objects

r is the distance between the centers of the two objects

Considering the gravitational forces involved:

F\(_{gravity}\)\(_{earth}\) = G ₓ (M\(_{EARTH}\)  ₓ m\(_{OBJECT}\)) / (d\(_{earth}\))²

F\(_{gravity}\) \(_{moon}\) = G ₓ (M \(_{moon}\) ₓ m\(_{object}\)) / (d \(_{moon}\))²

Since we are looking for the point where the net gravitational force is zero, we set these two forces equal to each other:

G × (M\(_{earth}\) × m\(_{object}\)) / (d\(_{earth}\))²   =     G × (M \(_{moon}\) × m\(_{object}\)) / (d \(_{moon}\))²

Canceling out the common factors of G and m\(_object}\), and substituting the given values:

(M\(_{earth}\) × 1) / (d\(_{earth}\))² = (M \(_{moon}\) × 1) / (d \(_{moon}\))²

Rearranging the equation:

(d\(_{earth}\))²/ (M\(_{earth}\)) = (d \(_{moon}\))² / (M \(_{moon}\))

Taking the square root of both sides:

d\(_{earth}\) / √(M \(_{moon}\))) = d_moon / √(M \(_{moon}\))

Substituting the given values:

d\(_{earth}\) /√(M\(_{earth}\)) = d\(_{moon}\) / √(1/81 × M\(_{earth}\))

Simplifying further:

d\(_{earth}\)  / √(M\(_{earth}\)) =d\(_{moon}\)  / (1/9 × √(M\(_{earth}\)))

Multiplying both sides by √(M\(_{earth}\)):

d\(_{earth}\) = (1/9) × d\(_{moon}\)

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Step-by-step explanation:

Since the above sequence is a geometric sequence

For an nth term in a geometric sequence

That's

\(A(n) = a( {r})^{n - 1} \)

where

r is the common ratio

a is the first term

n is the number of terms

From the question

a = 4.05

r = 1.35 / 4.05 = 0.33

Substitute the values into the above formula

We have

\(A(n) = 4.05( {0.33})^{n - 1} \)

Hope this helps you

a) The amount Sandy will pay for the dishwasher that costs R6,500 today on hire purchase is R7,772.04.

b) The monthly repayments are R215.89.

c) The total interest paid is  R1,272.04.​

Hire purchase is a credit agreement that allows the buyer to make monthly payments in consideration of finance charges.

The total amount the buyer will pay periodically for the hire purchase is the cost (the price of the item) plus the total interest (finance charge).

These can be determined using an online finance calculator as follows:

Cost of dishwasher = R6,500

Hire purchase terms = 3 years equal monthly payments

Interest rate = 12%

N (# of periods) = 36 months ( 3 x 12)

I/Y (Interest per year) = 12%

PV (Present Value) = R6500

FV (Future Value) = R0

Results:

Monthly payment = R215.89

Sum of all periodic payments = R7,772.04 (R215.89 x 36)

Total Interest = R1,272.04 (R7,772.04 - R6,500)

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Answer:

que

Step-by-step explanation:

no ablo ese idioma v

Answer:

The first value is ten times greater.

Step-by-step explanation:

Numbering System

When we represent numbers in the decimal system, each digit to the left has a value 10 times more than the digit to the right. For example, in the number 44, the 4 to the left side has a value of 40, and it's neighbor to the right side has a value of 4.

In the number 76,600, the 7 has a value of 70,000, while in the number 7,600, its value is 7000. Thus the first value is ten times greater.

Answer:

width = 2 cm

Step-by-step explanation:

are of rectangle is equal to length times width

x is the width, then length is 3x + 4

so x(3x + 4) = 20

3x^2 + 4x = 20

3x^2 + 4x - 20 = 0

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

so a = 3

    b = 4

    c = -20

substitute in the formula

x = [-4 +/-√(4^2 - 4(3)(-20))]/2(3)

x = [-4 +/- √(16 + 240)]/6

x = [-4 +/- 16]/6

x1 = (-4 + 16)/6 = 2

x2 = (-4 - 16)/6 = -20/6

since the width can't be a negative number, x2 is not the right answer

so x = 2

Answer:

Opal saves more

Step-by-step explanation:

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Answer:

A

Step-by-step explanation:

For each point along it goes 1 point up, if it was 4x it'd go 4 points up

Answer: negative one third

Answer:

-1/3

Explanation:

There's a formula that I'll use to find the slope - it's called the slope formula.

\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Plug in the data:

\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)

Simplify:

\(\sf{m=-\dfrac{4}{12}}\)

\(\sf{m=-\dfrac{1}{3}}\)

Hence, the slope is negative one-third.

Answer:

24 inches per year

Step-by-step explanation:

Given that the growth of the red wood tree is about :

300 feet tall in over 150 years ;

Given a steady growth ;

The growth per year is given by :

Height / number of years

300 fts / 150 years

= 2 feets per year

1 Feet = 12 inches

2 feets per year = 24 inches per year

Answer:

1.5

Step-by-step explanation:

\(9 \div 6 = 1.5 \\ the \: length \: of \: each \: rope \: is \: 1.5\)

The length of each piece of rope equal to 2/3 feet OR 0.66 feet

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that Amelie has a rope that is 6 feet long.

She needs to divides her rope into 9 equal pieces.

i.e. 9 pieces of rope has length = 6 feet

1 piece of rope has length= 6/9 feet

                                         = 2/3 feet = 0.66 feet

Hence, the length of each piece of rope equal to 2/3 feet OR 0.66 feet.

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1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

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The area of the shaded region is 3915 units².

We have,

Area of the sector.

= 13.08 units²

Now,

To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.

Area = √[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case,

The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:

Calculate the semi-perimeter:

s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units

Use Heron's formula to find the area:

Area = √[7(7 - 5)(7 - 5)(7 - 4)]

= √[7(2)(2)(3)]

= √[84]

≈ 9.165 units (rounded to three decimal places)

Now,

Area of the shaded region.

= Area of the sector - Area of the isosceles triangle

= 13.08 - 9.165

= 3.915 units²

Thus,

The area of the shaded region is 3915 units².

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Step-by-step explanation:

c. The least number of digits in the product is 4. The least 3-digit number is 100, and the least 2-digit number is 10.

The product of 100 and 10 has 4 digits, so no product of a 3-digit and a 2-digit number can have fewer digits.

(1) The value of x is determined as 16.8.

(2) The measure of length VX is calculated as 4.1.

(3) The measure of angle UWV is 69.5⁰.

The value of the missing lengths of the triangle is calculated by applying the following formula;

(1) For the two similar triangles, the value of x is calculated as follows;

20 / (28 - x) = 30 / x

20x = 30 (28 - x )

20x = 840 - 30x

20x + 30x = 840

50x = 840

x = 840 / 50

x = 16.8

(2) The measure of length VX is calculated by applying trig ratios.

tan 63 = 8 / VX

VX = 8 / tan 63

VX = 4.1

(3) The measure of angle UWV is calculated as follows;

angle T = 360 - (94 + 127) = 139

angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)

angle UWV = 69.5⁰

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-2y=10-5x

-2y/-2=(10-5x)/-2

Y=5/2x-2

Answer:

Multiply 45 by 1.15 then multiply the answer by 36/100. Hopefully this helps you solve later problems yourself

Step-by-step explanation:

Answer: he spent 18.63

Step-by-step explanation:

Answer:

1068

Step-by-step explanation:

95% confidence interval is 1.96

m = 0.03 = margin of error

n= 0.25(confidence interval / margin of error)²

n=0.25 (1.96/0.03)² = 1067.1 round up to 1068

another way:

Sample Size for Confidence Interval.

To estimate the required sample size for constructing a 95% confidence interval with a margin of error of 0.03, we need to use the formula:

n = (z^2 * p * q) / (E^2)

where:

n = sample size

z = z-score for the desired level of confidence (95%)

p = proportion of music teachers who believe that listening to hip-hop music has a positive effect on music education (unknown)

q = 1 - p

E = margin of error (0.03)

Since we do not have an estimate of the proportion p, we can use a conservative value of p = 0.5, which gives us the largest possible sample size.

Plugging in the values, we get:

n = (1.96^2 * 0.5 * 0.5) / (0.03^2)

n = 1067.11

Rounding up to the nearest integer, we need a sample size of at least 1068 music teachers to construct a 95% confidence interval with a margin of error of 0.03 when we have no value of p available.

ChatGPT

elementary statistics william navidi

Answer:d

Step-by-step explanation:

The translation from the pre-image, Parallelogram ABCD, to the image, Parallelogram A'B'C'D' is T2, 1(x, y)

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The parallelogram ABCD is shifted to the right by 2 units and shifted up by 1 unit to get parallelogram A'B'C'D'.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

The graphs can be translated or moved about the xy-plane.

This transformation rule is represented as:

(x,y) -> (x + 2,y + 1)

This transformation rule can be rewritten as:

T2, 1(x, y)

Hence, the translation from the pre-image, Parallelogram ABCD, to the image, Parallelogram A'B'C'D' is T2, 1(x, y)

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Answer:

3 bags

Step-by-step explanation:

55 x 60 = 3300 ft²

3300/1230 = 2.68 bags

As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.

Probability serves as an indicator of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing an unlikely event and 1 representing an unavoidable event. Switching a fair coin and coin flips has a probability of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probability theory is a branch of mathematics that studies happenings rather than their properties. It is applied in many fields, including statistics, fund, science, and engineering.

The central limit theorem can be used to approximate the sample mean distribution as a normal distribution with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size.

The standard error of the mean (SE) is calculated as follows:

SE = σ/√n

Where n is the sample size and is the population standard deviation.

SE = 83/√160 = 6.575

Z = (X - μ) / SE

Where X represents the sample mean, is the population mean, and SE represents the standard error of the mean.

Z = (553.9 - 541) / 6.575 = 1.94

As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.

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