Hi I am really confused on this problem and would like help on solving it step by step on the first question

Answer:

51

Step-by-step explanation:

Hope this helps

180-90-39

Answer:

inductive - . Inductive reasoning makes broad generalizations from specific observations.

casual correlation

quality ( i think)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i just did it

c) Set x to be the number we need to find; therefore, the inequality to be solved is

Therefore, any number greater than 1/2 (greater, not equal to) satisfies the inequality; particularly 1/1=1>1/2. Thus, 1/1 is a possible answer

Answer:

Step-by-step explanation:

Point: 10,-9

k=-2

y=-2x+b

So: 9, -7

8,-5

7,-3

6,-1

5,1

4,3

3,5

2,7

1,9

0,11

y=-2x+11

Answer:

y + 9 = - 2(x - 10)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - 2 and (a, b ) = (10, - 9 ) , then

y - (- 9) = - 2(x - 10) , that is

y + 9 = - 2(x - 10)

1) The area of a circle circumscribed about a square is 307.7 cm².

2.a.) The angle ACB is 39 degrees.°.

2b.) The value of x is 5.42.

We shall find the radius to determine the area of a circle.

First,  find the side length of the square:

Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.

Next, find the diagonal of the square, using the Pythagorean theorem:

Diagonal = the diameter of the circumscribed circle.

Diagonal² = side length² + side length²

= 14 cm² + 14 cm²

= 196 cm² + 196 cm²

= 392 cm²

Take the square root of both sides:

Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)

Then, the radius of the circle which is half the diagonal:

Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)

Finally, compute the area of the circle using the formula:

Area = π * Radius²

Area = 3.14 * (9.90 cm)²

Area ≈ 307.7 cm² (rounded to two decimal places)

Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².

2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.

Given that arc AB has a measure of 78°, we can find angle ACB as follows:

Angle ACB = 1/2 * arc AB

= 1/2 * 78°

= 39°

Therefore, the angle ACB is 39 degrees.

2b.) To solve for the value of x, we use the information that the angle ADB =  (3x - 12)⁴.

Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:

(3x - 12)⁴ = 78

Solve the equation for x, by taking the fourth root of both sides:

∛∛((3x - 12)⁴) = ∛∛78

Simplify,

3x - 12 = ∛(78)

Isolate x by adding 12 to both sides:

3x - 12 + 12 = ∛(78) + 12

3x = ∛(78) + 12

Finally, divide both sides by 3:

x = (∛(78) + 12) / 3

x = (4.27 +12) / 3

x = 5.42

So, x is 5.42

Therefore,

1) The area of the circle is 154 cm².

2a.) Angle ACB is equal to 102°.

2b.) The value of x is 5.42

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Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Answer:

y = 69

Step-by-step explanation:

start with the distributive property:

5/9 * y and 5/9 * 3

and now you have: 5/9y + 15/9 = 40

and we have to isolate y so subtract 15/9 from both sides:

5/9y + 15/9 = 40

        - 15/9     -15/9

and now you have 5/9y = 345/9

and now divide both sides by 5/9 so: 5/9y divided by 5/9 = y

and 345/9 divided by 5/9 = 345/5 and lets simplify....

y= 69

hope this helps luv

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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The correct option that result the data with variability:

C. The shoe size of the various 5 year olds.

D. The number of patients at the doctor's office each day.

The term "variability" refers to the distance between data points within a distribution and their distance from its centre. Measures of variability provide you summary statistics that summarise your data in addition to measurements of central tendency.

Spread, scatter, and dispersion are other terms for variation. It is often assessed using the following:

Thus, the result the data with variability:

C. The shoe size of the various 5 year olds as it will vary for different children.

D. The number of patients at the doctor's office each day is also variable.

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Answer:

Discount percent = 43% off

Discount amount (money saved) = $75.25

Step-by-step explanation:

To find the discount percentage:

List price ($175) minus the sale price ($99.75) then divided by the list price ($175) and multiplied by 100 to get the discount percent of 43%.

To find how much money was saved:

List price ($175) minus sale price ($99.75) to get the amount saved, which savings are $75.25 in this case.

I hope this helps :)

6y²+2xy+2x

Step-by-step explanation:

8y²-2y²=6y²

7xy-5xy= 2xy

2x=2x

Answer:

10 teachers

Step-by-step explanation:

25 - 5 = 20 this leaves us with 20 hours left of community service hours, we then divided it by how many hours she get by helping a teacher to get 10. to verify if she helps 10 teaches that's 10 times 2, this gives us 20. then add the 5 hours from donating the coat to get 25

The probability of obtaining a success given that X is less than 5, P(X < 5) is 0.8906.

The probability of obtaining a success is calculated as follows:

Given data:

X has a binomial distribution with n = 6 trials and p = 0.5, the probability of obtaining a success.

Using the binomial distribution function:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = k) = \((_nC_k) * p^{k} * (1 - p)^{(n - k)}\)

Therefore;

P(X < 5) = (₆C₀) * 0.5⁰ * 0.5⁶ + ( 1) * 0.5¹ * 0.5⁵ + (₆C₂) * 0.5² * 0.5⁴ + (₆C₃) * 0.5³ * 0.5³ + (₆C₄) * 0.5⁴ * 0.5²

P(X < 5) = 0.015625 + 0.09375 + 0.234375 + 0.3125 + 0.234375

P(X < 5) = 0.8906

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Answer: 107 square miles (C.)

Step-by-step explanation:

Area of a parallelogram = base × height

A = 10.7 × 10

A = 107

I hope this helps!

Step-by-step explanation:

Given figure is a polygon

Height = 10 mi

Base = 10.7 mi

=》 Area = Base × Height

=》 Area = 10×10.7

=》 Area = 107 mi^2

Answer:

i- 72000 * π radians per hour,  ii- 65,940 miles per hour.

Step-by-step explanation:

(i) To find the car's angular speed in radians per hour, we need to find the number of radians the wheel rotates in one revolution, then multiply that by the number of revolutions per second. The number of radians in one revolution is equal to the circumference of the wheel divided by the wheel's radius. The wheel's circumference is given by 2 * π * r, where r is the wheel's radius (18 inches / 2 = 9 inches). Then, the number of radians per revolution is:

2 * π * r / r = 2 * π

So, the number of radians per second is:

2 * π * 10 revolutions per second = 20 * π radians per second

Finally, to convert radians per second to radians per hour, we multiply by 3600 (the number of seconds in an hour):

20 * π * 3600 seconds/hour = 72000 * π radians per hour

(ii) To find the car's linear speed in miles per hour, we need to multiply the wheel's circumference by the number of revolutions per hour. The wheel's circumference is given by 2 * π * r, so the linear speed is:

2 * π * r * 10 revolutions per second * 3600 seconds/hour = 18 * π * 10 * 3600 miles per hour

The answer is approximately equal to 65,940 miles per hour.

Yes, the range of a elementary matrix is the same as its column space, but there is one subtlety.

what is elementary matrix?

A matrix is a collection of numbers arranged in rows and columns. The dimensions of a matrix are defined as the sum of the number of rows and columns, where m and n are the number of rows and columns, respectively.

explanation:

The short answer is, yes, the range of a matrix is the same as its column space, but there is one subtlety.

Given some number  m , we can view this number either as a constant, or as a means to define a linear function,  f(x)=mx . In a similar vein, we can view a matrix  M  either as an array of numbers (boring), or as a means to defines a linear function  f(x)=Mx .

The term range refers to the set of outputs that  f()  can return, and is typically defined as a property of functions, not numbers.

The column space, on the other hand, is typically defined as a property of the matrix itself. And since the column space is the set of all possible linear combinations (aka span) of the columns of  M , this can be written as  {Mx|x∈R} , which is the very range of  f  above.

Hence,  the range of a elementary matrix is the same as its column space, but there is one subtlety.

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I need to deposit $1558.41 to have $2000 in the account in 5 years.

What is compound interest?

The interest charged on a debt or deposit is known as compound interest. It is the idea that we use the most regularly. Compound interest is calculated for a sum based on both the principal and cumulative interest.

    ∴ Compound interest = P(1 + \(\frac{r}{100*12}\))ⁿ  (∵ for monthly interest)

        P = Principal

        r = rate of interest per month

        n = number of months

Given:

r = 5% per month

n = 5 years = 5*12 = 60 months

  CI = P (1+5/(12 * 100))⁶⁰

2000 = P(1.0041)⁶⁰

2000 = P(1.2834)

      P = 1558.41

Therefore, the amount required to deposit is 1558.41 dollars to get 2000 dollars after 5 years with 5 percent interest per month.

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Answer:

Inokkohgy8uokokj76899

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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Answer:

133,860

Step-by-step explanation:

The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".

* No we have our key elements:

- Starting amount = 145,500

- Rate of change = 8%

* We will get the "8%" of the number 145,500

- Firstly, "8%" means 8/100

- So, 0.08 will be our new rate of change.

* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.

- 145,500 × 0.08 = 133,860 ; the same as

145,500 × 8/100 = 133,860

Answer:

  (d)  N = 25

Step-by-step explanation:

The solution to a one-step linear equation can be found by performing the inverse of the operation that is performed on the variable.

  (4/5)N = 20

  (5/4)(4/5)N = (5/4)(20) . . . . . multiply by the inverse of the coefficient

  N = 25 . . . . . simplify

Surface area overall of a cone is A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

Volume of a cone:

V = (1/3)πr2h

Cone's slant height:

s = √(r2 + h2)

Lateral surface area of a cone:

L = πrs = πr√(r2 + h2)

Cone (circle) base surface area:

B = πr2

Total surface area of a cone:

A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

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Answer:

so this as a fraction is 3500/12000 which is equivalent to

0.29166666666 we multiply this by 100

29.166666666

so about 29.1% or the students are female and have served a mission

Hope This Helps!!!

Answer:

D

Step-by-step explanation:

y-7 = -1/2 (x-(-2)

y-7 = -1/2 (x+2)

y -7 = -1/2 x - 1

y = -1/2 x -1 +7

y = -1/2 x + 6

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the time at which the rocket will splash down, we need to set h(t) to 0 and solve for t:

h(t) = -4.9t^2 + 169t + 234 = 0

Using the quadratic formula, we get:

t = (-b ± sqrt(b^2 - 4ac)) / 2a

Where a = -4.9, b = 169, and c = 234.

Plugging in the values, we get:

t = (-169 ± sqrt(169^2 - 4(-4.9)(234))) / 2(-4.9)

t = (-169 ± sqrt(28561.6)) / (-9.8)

We only want the positive value of t, as the rocket is launched at t = 0 seconds, so:

t = (-169 + sqrt(28561.6)) / (-9.8) = 17.2832 seconds (rounded to 4 decimal places)

Therefore, the rocket will splash down after 17.2832 seconds.

To find the height of the rocket at its peak, we need to find the vertex of the parabolic function h(t), which occurs at the value of t given by:

t = -b / 2a = -169 / 2(-4.9) = 17.3469 seconds (rounded to 4 decimal places)

At the time t = 17.3469 seconds, the height of the rocket is given by:

h(17.3469) = -4.9(17.3469)^2 + 169(17.3469) + 234 = 1764.203 meters (rounded to 3 decimal places)

Therefore, the rocket peaks at a height of 1764.203 meters above sea-level.

Answer:

0.5

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

|-2-(-2.5)|

|-2-+2.5|

|-0.5|

0.5

First find the area of the square, then the triangle.

15 times 17 = 255 sq. yd

Triangle:

(5 times 5)/2 = 12.5 sq. yd

Your answer is 267.5 sq. yd

Hope this helps.

The volume of the prism is 1323 feet³ (cubic feet).

Length= 21 feet.

Width= 9 feet.

Height= 7 feet.

The formula to calculate the volume of rectangular prisms is the following:

\(\sf V_{RP} =l*w*h\); where "l" is the length; "w" is the width, and "h" is the height of the prism.

Check the attached image to see where these values are measured from.

Substitute the variables in the formula by the values on step 1.

\(\sf V_{RP} =l*w*h=(21\ feet)*(9\ feet)*(7\ feet)=\boxed{\sf1323\ feet}.\)

The volume of the prism is 1323 feet³ (cubic feet).

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Answer:

The volume of the rectangular prism is 1323 cubic feet.

Step-by-step explanation:

Step 1: Write down the formula for the volume of a rectangular prism:

\(\qquad\Large\boxed{\rm{\:\:\:V = l \times w \times h\:\:\:}}\)

Step 2: Substitute the given values for the length, width, and height:

\(\qquad\Large\rm{V = 21\: ft \times 9\: ft \times 7\: ft}\)

Step 3: Multiply the numbers together:

\(\qquad\Large\rm\implies{V = 1323\: ft^3}\)

Step 4: Write the final answer with the appropriate units:

The volume of the rectangular prism is 1323 cubic feet.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

a), y=62       b.) c=1 3/5 or 8/5

Step-by-step explanation:

Okay so these are fairly simple lets start with A

4y=248, all we have to do is divide 4 on both sides

4y/4=y

248/4=62

Pretty Simple

For b just subtract 2/5 from both sides

(c+2/5)-2/5=c

2-2/5=1 3/5 or 8/5