which expressions are equivalent to tan(angle R) choose two answers:A) length of side adjacent to angle Q/length of side opposite to angle QB) length of side opposite to angle Q/length of side adjacent to angle QC) PQ/PR D) Tan( angle Q )

The value of p is 15

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day

Therefore everyday he reads 58+p pages per day

If he reads for 10 days and he reads a total 1408 pages then we have

In a week there is one Saturday

thus

9p+58=1408

9p=1350

p=15

Thus on the other days p is equal to 15 pages per day.

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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.

Answer:

5x + 4y

Step-by-step explanation:

3x + 2x = 5x

11y - 7y = 4y

Answer:

  f(x) = (x +6)(x -5)  or  f(x) = x² +x -30

Step-by-step explanation:

You want a quadratic function whose zeros are -6 and +5.

If p is a zero of the polynomial f(x), then (x-p) is a factor. The two given zeros meant that the factors are ...

  f(x) = (x -(-6))·(x -5)

  f(x) = (x +6)(x -5) . . . . . . . . simplify a bit

This can be put in standard form by multiplying the factors:

  f(x) = x(x -5) +6(x -5) = x² -5x +6x -30

  f(x) = x² +x -30 . . . . . . . . simplified quadratic function

The quadratic function of the zeros is f(x) = \(x^2+x-30\).

What is quadratic function?

A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. A polynomial of degree 2 is referred to as such because the greatest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. It is a mathematical function.

Here the zeros of the function is -6 and 5.

We know that if zeros of the function is a then the factor is (x-a).

Then,

=> f(x) = (x-(-6))(x-5)

=> f(x) = (x+6)(x-5)

=> f(x) = \(x^2+6x-5x-30\)

=> f(x) = \(x^2+x-30\)

Hence the quadradic function is f(x) = \(x^2+x-30\).

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To compare the bus riders in each district, we can calculate the median, mode, mean, and range of each set of data:

For District A:

Median: To find the median, we need to arrange the numbers in order from least to greatest: 270, 290, 300, 300, 340, 360, 400, 410, 420, 460. The median is the middle number, which is 340.

Mode: The mode is the number that appears most frequently. In this case, there is no mode, since no number appears more than once.

Mean: The mean is the average of the numbers. We can add up all the numbers and divide by the total number of numbers: (300+400+410+360+270+290+460+300+340+420) / 10 = 350.

Range: The range is the difference between the largest and smallest numbers. In this case, the range is 460 - 270 = 190.

For District B:

Median: To find the median, we need to arrange the numbers in order from least to greatest: 190, 210, 240, 240, 240, 270, 290, 310, 320, 390. The median is the average of the middle two numbers, which are 250 and 270. The median is (250 + 270) / 2 = 260.

Mode: The mode is the number that appears most frequently. In this case, the mode is 240, since it appears three times.

Mean: The mean is the average of the numbers. We can add up all the numbers and divide by the total number of numbers: (310+240+190+290+320+390+240+210+270+240) / 10 = 267.

Range: The range is the difference between the largest and smallest numbers. In this case, the range is 390 - 190 = 200.

Based on these calculations, we can determine that:

A) The median number of bus riders is greater in district A than in district B, since the median for district A is 340 and the median for district B is 260.

B) The mode of bus riders is greater in district A than in district B, since district A has no mode, and district B has a mode of 240.

C) The mean number of bus riders is greater in district A than in district B, since the mean for district A is 350 and the mean for district B is 267.

D) The range of bus riders is greater in district A than in district B, since the range for district A is 190 and the range for district B is 200.

Therefore, statement C - the mean number of bus riders is greater in district A than in district B - is the true statement.

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:

Step 1: Calculate the monthly interest rate.

The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):

Monthly interest rate = 9.5% / 12 = 0.0079167

Step 2: Determine the monthly payment.

The monthly payment is given as $400.

Step 3: Calculate the interest and principal paid each month.

The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.

Principal paid = Monthly payment - Interest paid

Step 4: Track the remaining balance each month.

Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.

Step 5: Repeat Steps 3 and 4 until the balance reaches zero.

Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.

Step 6: Determine the total number of months and the total amount paid.

Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.

Let's calculate the number of months and the total amount paid, including interest:

Month 1:

Interest paid = 0.0079167 * $1,367.90 = $10.84

Principal paid = $400 - $10.84 = $389.16

New balance = $1,367.90 - $389.16 = $978.74

Month 2:

Interest paid = 0.0079167 * $978.74 = $7.75

Principal paid = $400 - $7.75 = $392.25

New balance = $978.74 - $392.25 = $586.49

Month 3:

Interest paid = 0.0079167 * $586.49 = $4.64

Principal paid = $400 - $4.64 = $395.36

New balance = $586.49 - $395.36 = $191.13

Month 4:

Interest paid = 0.0079167 * $191.13 = $1.51

Principal paid = $400 - $1.51 = $398.49

New balance = $191.13 - $398.49 = -$207.36 (Paid off)

It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:

Total amount paid = 4 * $400 = $1600

Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

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Answer:

\(\huge\boxed{\sf x = 9}\)

Step-by-step explanation:

3(x + 4) - 11 = 28

3(x + 4) = 28 + 11

3(x + 4) = 39

3x + 12 = 39

3x = 39 - 12

3x = 27

x = 27/3

\(\rule[225]{225}{2}\)

The investment amount is $37263.09.

Interest that compounded continuously to the principal amount. This interest rate provides exponential growth to period of time.

Formula of continuous compound interest rate;

P(t) = P₀ \(e^{rt}\) , where P₀ is the principal amount, r is the interest rate and t is the time period.

Given that the Alang is going to invest with the continuous compound interest rate 5.7%.

Using the formula of continuous compound interest rate,

P(t) = P₀ \(e^{rt}\)

P(t) = $113000 x    \(e^{(5.7)(5)}\)

P(t) = $37263.09

Therefore, the investment amount is $37263.09.

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Answer:

PLEASE MARK AS BRAINLIEST

Step-by-step explanation:

Speed per hour = 54 km

We have to find Speed per minute

For that...

60 minutes ---- 54 km(cuz, 1 hr = 60 minutes

1 minute -----?

=54/60 km/minute

=9/10 km/minute

= 0.9 km/minute

SO THE LORRY WILL TRAVEL 0.9 KM IN A MINUTE

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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The solution is: 2 real world situation that could be modeled by a quadratic function are given below:

Here, we have,

1. Consider two trees which are 5 m apart. Suppose one tree is located at a distance of 45 m from my house and another tree is located 50 m from my house. Represent , distance of two trees from my house in terms of Quadratic function.

Solution:

Let location of my house when map of planet earth is drawn or on  globe=x

⇒(x-45)(x-50)=0

⇒ x² - 45 x - 50 x +45 × 50 =0

⇒ x² - 95 x + 2250=0

2. Suppose age of me and my brother is 6 and 10 years. The Product of  difference between age of me and my mother who is x years old and my brother and mother is 780.Find my mother's age.

Solution:  Age of my mother = x years

→(x-6) × (x-10)= 780,

if you will solve it , the value of x= 36 years.

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Answer:

b. At Field Day,...

Step-by-step explanation:

In order to solve for the answer to the problem, one would have to calculate 1/2 divided by 5. So, b. is your answer.

I would appreciate Brainliest, but no worries.

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

B

Step-by-step explanation:

Sphere Surface Area = 4 • π • r²

For it to equal 16 PI, then radius must equal 2

4*PI*2*2 = 16 PI

Sphere Volume = 4/3 • π • r³

Sphere Volume = 4/3 • π • 2^3

Sphere Volume = 4/3 *PI * 8

Sphere Volume = 32 / 3 PI

Sphere Volume = 10.666 PI cubic feet AND I think that is answer B

which SHOULD read 10 (2/3) PI ft^3

In five years, Portfolio A is expected to be valued at around $7012. 75 while Portfolio B is anticipated to be worth roughly $7693. 10

The formula to calculate the future value of an investment using simple annual interest is:

\(FV = PV * (1 + r)^n\)

where:

FV = Future Value

PV = Present Value (the initial investment)

r = interest rate per period

n = number of periods

For Portfolio A (7%):

\(FV_A = $5000 * (1 + 0.07)^5\)

= $5000 * 1.40255

= $7012.75

For Portfolio B (9%):

\(FV_B = $5000 * (1 + 0.09)^5\)

= $5000 * 1.53862

= $7693.10

In five years, Portfolio A is expected to be valued at around $7012. 75 while Portfolio B is anticipated to be worth roughly $7693. 10

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The Complete Question

Two investment portfolios are shown, Portfolio A with a return of 7% annually and Portfolio B with a return of 9% annually. If you invest $5000 in each portfolio, what will be the total value of each portfolio after 5 years?

The slope-intercept equation of a linear function f whose graph satisfies the given condition is y = 5.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

Since the line is perpendicular to x = 6, which is a vertical line, the other line must be horizontal with a slope of zero (0). Therefore, the required equation is given by:

y - y₁ = m(x - x₁)

y - 5 = 0(x - (-5))

y - 5 = 0(x + 5)

y - 5 = 0

y = 5.

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The probability of spinning an even number, flipping tails, then spinning an odd number is:

1/9   (as fraction) or 11.11% (as percent)

To find the probability of spinning an even number, flipping tails, then spinning an odd number. We need to consider the individual probabilities. That is:

We have only one even number in the spinner, and that is 2. Thus,

P(even number) = 1/3

For a coin, the probability of head or tail is 1/2. Thus,

P(tail) = 1/2

We have two odd number in the spinner, and that is 1 and 3. Thus,

P(odd number) = 2/3

Therefore, the probability of spinning an even number, flipping tails, then spinning an odd number will be:

P(even, tail, odd) = 1/3 * 1/2 * 2/3

                            = 2/18

                            = 1/9   (as fraction)

In percent:

P(even, tail, odd) =  1/9 * 100

                            = 11.11%

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Answer: slope = 85

y-intercept = -14/5

Step-by-step explanation:

i took the test on k12 trust me this was the answer

The factored form is (5x+2)(x-4).

What is factorization?

A number, matrix, or polynomial may be broken up or decomposed into factors that, when multiplied together, produce the original number, matrix, etc. This process is known as factorization or factoring.

Here, we have

Given:  5 x squared minus 18 x minus 8

we have to find the factored form.

= 5x² - 18x - 8

= 5x² - 20x + 2x - 8

= 5x(x-4) + 2(x-4)

= (5x+2)(x-4)

Hence, the factored form is (5x+2)(x-4).

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Answer/Step-by-step explanation:

1. Only one side and an included angle is known. To prove that both triangles are congruent by the SAS Congruence Theorem, an additional information such as a corresponding second side (KJ, and HJ) must be given to be equal to each other.

KJ = HJ

2. Additional information such as a second corresponding angle (angles C and W must be known to prove both triangles are congruent by SAS.

<C = <W

3. Additional information needed is a second corresponding angles must be known to prove the AAS.

4. Additional information needed is the corresponding angles, R and L, which should be equal to prove the ASA.

<R = L

5. Additional information needed: <C = <H

6. Additional information needed: equal hypotenuse lengths of both traingles.

Answer:

c

Step-by-step explanation:

hope this helps

Answer:

1/2

Step-by-step explanation:

The calculated value of x in the equation (x + 1) (x - 5) = 16 is 7

From the question, we have the following parameters that can be used in our computation:

(x + 1) (x - 5) = 16

The above expression is the product of two factors

(x + 1) and (x - 5)

And the result is 16

Express 16 as 8 * 2

So, we have

(x + 1) (x - 5) = 8 * 2

By comparison, we have

x + 1 = 8 and x - 5 = 2

When evaluated, we have

x = 7 and x = 7

This means that the value of x in the equation is 7

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Answer: M= 3/5

Step-by-step explanation:  3/5x=3= M=3/5

Answer:

\(\boxed{\sf C. \ 10}\)

Step-by-step explanation:

\(\sf The \ intersecting \ chord \ theorem \ states \ that \ the \ products\)

\(\sf of \ the \ lengths \ of \ the \ line \ segments \ on \ each \ chord \ are \ equal.\)

\(NH \times HT = MH \times HY\)

\((x+20) \times 8=12 \times 20\)

\(\sf Expand \ brackets \ and \ multiply.\)

\(8x+160=240\)

\(\sf Subtract \ 160 \ from \ both \ sides.\)

\(8x+160-160=240-160\)

\(8x=80\)

\(\sf Divide \ both \ sides \ by \ 8.\)

\(\displaystyle \frac{8x}{8} =\frac{80}{8}\)

\(x=10\)

The value of x is 10.

We have a circle and inside it two chords MY and NT intersect at point H.

We have to find the value of x in the figure.

According to the intersecting chord theorem, when two chords say AB and CD intersect at point O, then

AO x OB = CO x OD

Applying the chord intersecting theorem to the figure in the question, we get -

MH x HY = NH x HT

12 x 20 = (x+20) x 8

240 = 8x + 160

8x = 80

x = 10

Hence the value of x is 10.

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Answer:

Step-by-step explanation:

speed = 50 km / hr.

distance = 20 km

time = distance / speed.

time = ( / 50) hr.

speed =  2 km/hrs

Answer:

(C)90 – 10y = 5x

Step-by-step explanation:

Given:

x = number of times she hiked the 5-mile trail

y = number of times she hiked the 10-mile trail

Maria hikes a total of 90 miles

Therefore, total distance hiked can be represented by the equation:

5x+10y=90

Subtract 10y from both sides, we have:

5x=90-10y

This is option C.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution:

A four-digit number 4ab5 is divisible by 55. Then the value of b - a is 1.

x = 301/56

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expression

Given the algebraic expression,

\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)

Step 1:

Simplify the expression by converting the mixed numbers into improper fractions:

25/8 ÷ ( x - 119/28) = 17/18 + 11/6

Step 2: Simplify the right side of the equation

25/8 ÷( x - 119/28) = 17/18 + 33/18

25/8 ÷( x - 119/28) = 50/18

Step 3: Multiply both sides of the equation by (x - 119/28)

25/8 = 50/18 × (x - 119/28)

Step 4: Multiply both sides of the equation by (18/50)

25/8 × (18/50) = (x - 119/28)

Step 5: Simplify the left side of the equation

9/8 = (x - 119/28)

Step 6: Add 119/28 to both sides of the equation

9/8 + 119/28 = x

Step 7: Calculate the value of x:

x = 9/8 + 119/28

= 63/56 + 238/56

= 301/56

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Given:

h is composition of two functions f and g.

\(h(x)=(f\circ g)(x)\)

One of the function is 8x-9.

\(h(x)=(8x-9)^2\)

To find:

The functions f(x) and g(x).

Solution:

We know that,

\(h(x)=(f\circ g)(x)=f[g(x)]\)

We have,

\(h(x)=(8x-9)^2\)

Here, first function is 8x-9 and the second is square of it.

In \((f\circ g)(x)=f[g(x)]\), first function which is applied is g(x) and the second function is f(x).

Let \(g(x)=8x-9\) and \(f(x)=x^2\).

\(h(x)=f[8x-9]\)

\(h(x)=(8x-9)^2\)

So, our assumption is correct.

Therefore, the required functions are \(g(x)=8x-9\) and \(f(x)=x^2\).