Pls can I have the workings too​

The value of A has been illustrated, computed and proven based in the triangle given.

It should be noted that that a triangle is a shape that has three sides and the value of the addition of all the angles are equal to 180°.

Based on the information that's given, it should be noted that the value of angle A, angle B, and angle C will be equal to 180°.

In this case, the following can be deduced:

A = 5x

B = 90°

C = x + 10°

Therefore, A + B + C = 180° (sum of angles in a triangle)

5x + 90 + x + 10 = 180°

6x = 180° - 90° - 10°

6x = 80°

x = 80/6

x = 13 1/3

Therefore, the value of A will be:

= 5x

= 5 × 13 1/3

= 66 2/3

Therefore, A is 66 2/3.

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The probability of rolling a score of 2 is 1/16, the probability of rolling a score of 3 or 7 is 1/8, the probability of rolling a score of 4 or 6 is 3/16, and the probability of rolling a score of 5 is 1/4. This is the probability distribution for the score obtained when rolling two tetrahedral dice.

To create a probability distribution for the score obtained by rolling two tetrahedral dice, we need to calculate the probability of each possible score that can be obtained by adding the numbers on the bottom faces of the two dice.

There are 16 possible outcomes when rolling two tetrahedral dice, since each die has 4 faces and there are 4 * 4 = 16 possible combinations of faces that can be rolled. To calculate the probability of each possible outcome, we can use the following steps:

List all the possible outcomes of rolling two tetrahedral dice and add up the numbers on the bottom faces to determine the score obtained.

Here are all 16 possible outcomes, along with the sum of the numbers on the bottom faces (which is the score obtained):

(1,1) = 2

(1,2) = 3

(1,3) = 4

(1,4) = 5

(2,1) = 3

(2,2) = 4

(2,3) = 5

(2,4) = 6

(3,1) = 4

(3,2) = 5

(3,3) = 6

(3,4) = 7

(4,1) = 5

(4,2) = 6

(4,3) = 7

(4,4) = 8

Calculate the probability of each possible score by counting the number of outcomes that result in that score, and dividing by the total number of possible outcomes.

For example, to calculate the probability of a score of 2, we count the number of outcomes that result in a sum of 2, which is only one: (1,1). Since there are 16 possible outcomes in total, the probability of rolling a score of 2 is 1/16.

We can repeat this process for each possible score to create the following probability distribution:

Score Probability

2 1/16

3 2/16 = 1/8

4 3/16

5 4/16 = 1/4

6 3/16

7 2/16 = 1/8

8 1/16

So the probability of rolling a score of 2 is 1/16, the probability of rolling a score of 3 or 7 is 1/8, the probability of rolling a score of 4 or 6 is 3/16, and the probability of rolling a score of 5 is 1/4. This is the probability distribution for the score obtained when rolling two tetrahedral dice.

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Answer:

no cap just plug in each one into a quadratic formula and if thats to difficuly just look up symbolab and plug it in

Answer:

she has 23 points

Step-by-step explanation:

hope this helps and mark brainliest please

Arranging the data set in increasing order:

8, 8, 8, 10, 10, 10, 12, 12, 14, 14, 15

We have to have plots at each of these unique numbers.

So,

We will make the dot plot from 8 to 15 and basically have increments of 1.

B is the correct choice.

\(\cos^{4} x-\sin^{4} x\\\\=(\cos^{2} x+\sin^{2} x)(\cos^{2} x-\sin^{2} x)\\\\=\cos^{2} x-\sin^{2} x\\\\=\cos^{2} x-(1-\cos^{2} x)\\\\=2\cos^{2} x-1\)

Answer:

Select all the examples of the exponential function

a) y=3x-2

b) y=3^x

c) y=(1/2)^3x

d) y=3x^2

E) y=(1/2)^x

Answer:

1.) The answer is b = 6

2.) The answer is t = 10

Step-by-step explanation:

For the first equation in order to fin out the answer we do.....

b + 8 = 14

b + 8 - 8 = 14 - 8

b = 6

For the second question we do....

25 - t = 15

25 - t + t = 15 + t

25 = 15 + t

25 - 15 = 15 + t -15

10 = t

Answer:

Hey, what is the question for this problem. Is it asking how much salt is left after nayan uses some of it?

if so, the answer is .41 grams of salt

Step-by-step explanation:

.97 grams (total) minus .56 grams( what is used)

is equal to .41 grams

Answer:

0.41

Step-by-step explanation:

0.97-0.56=0.41 because she used 0.56 so subtract it from the total number

A 3-regular simple connected graph with faces of degree 4 and 6 has exactly 6 squares.


Let F4 and F6 be the numbers of squares and hexagons, respectively, in the graph. According to Euler's formula, V - E + F = 2, where V, E, and F are the numbers of vertices, edges, and faces in the graph, respectively. Since each square has 4 edges and each hexagon has 6 edges, the number of edges can be expressed as 4F4 + 6F6.
Since the graph is 3-regular, each vertex is incident to 3 edges. Hence, the number of edges is also equal to 3V/2.  

By comparing these two expressions for the number of edges and using Euler's formula, we obtain 3V/2 = 4F4 + 6F6 + 6. Since V, F4, and F6 are all integers, it follows that 4F4 + 6F6 + 6 is even. Therefore, F4 is even.
Since each square has two hexagons as neighbors, each hexagon has two squares as neighbors, and the graph is connected, it follows that F4 = 2F6. Hence, F4 is a multiple of 4 and therefore must be at least 4. Therefore, the graph contains at least 2 squares.

Suppose that the graph contains k squares, where k is greater than or equal to 2. Then the total number of faces is 2k + (6k/2) = 5k, and the total number of edges is 3V/2 = 6k + 6.

By Euler's formula, we have V - (6k + 6) + 5k = 2, which implies that V = k + 4. But each vertex has degree 3, so the number of vertices must be a multiple of 3. Therefore, k must be a multiple of 3.
Since F4 = 2F6, it follows that k is even. Hence, the possible values of k are 2, 4, 6, ..., and the corresponding values of F4 are 4, 8, 12, ....

Since the graph is connected, it cannot contain more than k hexagons. Therefore, the maximum possible value of k is F6, which is equal to (3V - 12)/4.
Hence, k is at most (3V - 12)/8. Since k is even and at least 2, it follows that k is at most 6. Therefore, the graph contains exactly 6 squares.

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Answer:

i think its 12 hours

Step-by-step explanation:

use calculator

Answer:

4 17/25

Step-by-step explanation:

Hope this helps!

If not I am sorry.

Answer:

the future value would be 473.72 if p is referring to future value

if p is referring to present value it is 121.59

if p is referring to payment it is 58.37

Step-by-step explanation:

you can use spreadsheets to solve this equation using =pmt/=fv/=pv

Step-by-step explanation:

\(s .i = \frac{prt}{100} \)

\(240 = p \times \frac{12}{100} \times 6\)

\(240 = \frac{18}{25} p\)

\(240 \div \frac{18}{25} = p\)

\(p = 333.3333\)

The 9th term of the given series is 588, 451, which can be calculated using the formula for the nth term of an arithmetic progression Tn = a + (n-1)d, where a is the first term and d is the common difference.

The given series is an arithmetic progression with a common difference of 4. The formula for the nth term of an arithmetic progression is given by Tn = a + (n-1)d, where a is the first term and d is the common difference.

Therefore, for the given series, a = 1 and d = 4.

Substituting these values in the above formula, we get

T9 = 1 + (9-1)4

 = 1 + 32

 = 33

Now, adding 33 to each of the terms of the given series, we get

1 + 33 = 34

5 + 33 = 38

25 + 33 = 58

125 + 33 = 158

Therefore, the required 9th term of the series is 588, 451.

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To find the product (3x+1)(x+4), we can use the distributive property of multiplication:

(3x+1)(x+4) = 3x(x+4) + 1(x+4)

We can use the table of products to simplify the multiplication:

3x(x+4) = 3x^2 + 12x

1(x+4) = x+4

Therefore,

(3x+1)(x+4) = 3x^2 + 12x + x + 4

Simplifying, we get:

(3x+1)(x+4) = 3x^2 + 13x + 4

So the answer, written in standard form, is:

(3x+1)(x+4) = 3x^2 + 13x + 4

To calculate the monthly payment for the loan, we can use the simple interest formula, which is:

I = P * r * t

Where I is the interest, P is the principal amount, r is the interest rate per period, and t is the time period.

In this case, the principal amount is $10,000, the interest rate is 24%, and the time period is 40 months.

So, we can plug in the values and solve for I:

I = 10,000 * 0.24 * 40

I = 9,600

This means that the total interest for the loan is $9,600.

To find the monthly payment, we need to add the interest to the principal and then divide by the number of months:

Monthly payment = (10,000 + 9,600) / 40

Monthly payment = 490

Therefore, the monthly payment for the loan would be $490.

It's important to note that this calculation assumes that the interest is calculated based on the initial principal amount and does not take into account any additional fees or charges that may be associated with the loan. It's also important to ensure that the family can afford the monthly payment and that they have a plan in place to pay off the loan in full within the agreed-upon timeframe.

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Answer:

Step-by-step explanation:

In kinematic motion

x= xo + vt

xo= 0 because they didn't give it so we suppose it as 0

x= vt

x= 6m/s * 15s

x= 90m

Answer:

5400 meters

Step-by-step explanation:

In order to find the answer to this question you need to multiply the amount traveled per second by the amount of seconds he ran, then just convert that answer into meters.

1 second = 6 m/s

15 seconds = 90 m/s

15 × 6 = 90

1 meter per second = 60 meters per minute

90 × 60 = 5400

= 5400 meters

Hope this helps.

The sum of the arithmetic progression 3a, a, and -a is 4a.

To find the sum of the arithmetic progression (AP) with terms 3a, a, and -a, we need to determine the number of terms and the common difference.

In this case, we have three terms: 3a, a, and -a.

First, let's find the common difference (d):

d = second term - first term

= a - 3a

= -2a

Now, we can determine the number of terms (n):

n = last term - first term / common difference + 1

= -a - 3a / -2a + 1

= -4a / -2a + 1

= 4

So, we have 4 terms in the arithmetic progression.

Now, we can use the formula for the sum of an arithmetic progression:

Sn = n/2 \(\times\)(first term + last term)

Substituting the values:

Sn = 4/2 \(\times\)(3a + (-a))

= 2 \(\times\) (2a)

= 4a

Therefore, the sum of the arithmetic progression 3a, a, and -a is 4a.

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Answer:

f(x)=2600x+1500 at least I think because it's 2600 per person

Yes, the laws of exponents hold for positive and negative numbers, fractional exponents, and even irrational exponents such as π.

The laws of exponents apply to both positive and negative numbers. For example, when multiplying or dividing numbers with exponents, the exponents can be added or subtracted, respectively, regardless of the sign of the base. Similarly, when raising a number with an exponent to another exponent, the exponents can be multiplied. These rules hold true for positive and negative numbers, allowing consistent manipulation of expressions involving exponents.

Yes, the laws of exponents also hold for fractional exponents. The most common law, the power rule, states that when raising a number to a fractional exponent, the exponent can be expressed as a quotient of integers. This allows us to extend the laws of exponents to include fractional exponents and perform calculations accordingly. For example, we can multiply numbers with fractional exponents by adding the exponents and divide them by subtracting the exponents.

Yes, the laws of exponents also hold for irrational exponents, including numbers like π. Although irrational exponents cannot be expressed as exact fractions or decimals, we can still apply the laws of exponents. When working with irrational exponents, the calculations typically involve approximations or infinite series representations. However, the fundamental rules of exponentiation, such as adding, subtracting, or multiplying exponents, remain valid for irrational exponents as well.

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The most precise name for quadrilateral ABCD with vertices A(-2, 4), B(5, 6), C 12, 4), D(5,2) is A. parallelogram.

The most precise name for quadrilateral ABCD with vertices A(4, 4), B(5, 8), C (8, 8), D (8,5) is A. kite

Since the lengths of all sides are equal and the opposite sides are parallel, because the slopes of two parallel lines are equal. Therefore, ABCD is a parallelogram because opposite sides are parallel and congruent.

Also, since, the two disjoint pairs of consecutive sides are congruent as AB=DA and BC=CD. Thus, by definition of kite, that Two disjoint pairs of consecutive sides are congruent, the given quadrilateral is a kite.

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The given differential equation (2x - 1)dx + (3y + 7)dy = 0 is not an exact differential equation and the solution to the differential equation (2x + y)dx - (x + 6y)dy = 0 is ( 2x^3 + 12xy^2 ) / 3 + 3y^3 = C.

1. (2x - 1)dx + (3y + 7)dy = 0

The differential equation is exact.

Proof:

Using the formula µ = µ(x) we can check whether the given equation is exact or not.

µ = µ(x) = ( 1 / M(x, y) ) [ ∂N / ∂x ] = ( 1 / (2x - 1) ) ( 3 ) = ( 3 / 2x - 1 )

µ = µ(y) = ( 1 / N(x, y) ) [ ∂M / ∂y ] = ( 1 / (3y + 7) ) ( 2 ) = ( 2 / 3y + 7 )

Thus, µ(x) ≠ µ(y). Hence the given differential equation is not an exact differential equation.

2. (2x + y)dx - (x + 6y)dy = 0Solution:We have

M(x, y) = 2x + y and N(x, y) = - (x + 6y)

∂M / ∂y = 1

∂N / ∂x = - 1

Therefore the given differential equation is not an exact differential equation.

Now we solve the differential equation by the method of integrating factor as follows:

µ(x) = e∫P(x)dx , where P(x) = ( ∂N / ∂y - ∂M / ∂x ) / N(x, y) = ( 1 + 1 ) / ( x + 6y )

Hence, µ(x) = e ∫ ( 2 / x + 6y ) dx = e^2ln|x+6y| = e^ln|(x+6y)^2| = (x+6y)^2

Multiplying the given differential equation with µ(x), we get

( ( 2x + y ) ( x + 6y )^2 ) dx - ( (x + 6y) (x + 6y)^2 ) dy = 0

⇒ ( 2x^3 + 25xy^2 + 36y^3 ) dx - ( x^2 + 12xy^2 + 36y^3 ) dy = 0

Now using the exact differential equation method, we get

f(x, y) = ( 1 / 3 ) ( 2x^3 + 12xy^2 ) + 3y^3 + C

where C is the arbitrary constant of integration.

Hence the solution is

( 2x^3 + 12xy^2 ) / 3 + 3y^3 = C.

Thus the solution to the given differential equation is ( 2x^3 + 12xy^2 ) / 3 + 3y^3 = C.

Therefore, the given differential equation (2x - 1)dx + (3y + 7)dy = 0 is not an exact differential equation and the solution to the differential equation (2x + y)dx - (x + 6y)dy = 0 is ( 2x^3 + 12xy^2 ) / 3 + 3y^3 = C.

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The oval on the left side is the domain of the function, whereas the oval on the right is the codomain of the function. One can infer it from the arrows; look how they go from the oval on the left to the one on the right.

We say that a is in the range of the function if it exists b in the domain such that f(b)=a

Therefore, 5 is in both the domain and range of the function since f(2)=5. The answer is true.

A number line with a closed dot at -4 is shaded to the right. Option A is correct.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
Given inequality,
c – 12 ≥ –16

Add 12 on both sides
c ≥ -4

So the required number line would be as a closed dot at -4 and shaded to the right.

Thus, A number line with a closed dot at -4 is shaded to the right. Option A is correct.

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Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

The statement "When plotting an ogive graph, the plotted points have x coordinates that are equal to the upper limits of each class" is True because the y coordinate of each point represents the cumulative frequency corresponding to upper limits of each class.

An ogive graph is used to display cumulative frequency distributions and provide a visual representation of the data. When plotting an ogive, the x-coordinates of the plotted points represent the upper limits of each class or category, while the y-coordinate of each point represents the cumulative frequency or cumulative percentage of the data corresponding to the upper limit of each class. The cumulative frequency is calculated by adding up the frequencies of all the data points up to and including the current class.

In this way, the ogive graph provides a visual representation of the cumulative distribution of the data, showing how the cumulative frequency or cumulative percentage increases as the class intervals increase.

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Answer:

3. 8 feet

Step-by-step explanation:

To find the horizontal distance (x) in feet, we can use the following steps:

Step 1: Determine the vertical height that the box has been lifted.

The difference between the two points is:

9 ft - 3 ft = 6 ft.

Therefore, the box has been lifted 6 feet.

Step 2: Use the slope of the ramp to find the horizontal distance (x).

The slope of the ramp is given as 3/4. This means that for every 3 feet the ramp rises vertically, it moves 4 feet horizontally. We can set up a proportion to solve for x:

3/4 = 6/x

We can cross-multiply to get:

3x = 24

Dividing both sides by 3 gives us:

x = 8

Therefore, the horizontal distance (x) is 8 feet.

To convert the given infix expression a+bc/2 - (ac - 3/b) into postfix notation, we will use a stack to store and manage operators. Here's the step-by-step process:

1. Start scanning the expression from left to right.
2. If an operand (a, b, c, 2, or 3) is encountered, append it to the output.
3. If an operator (+, -, *, or /) is encountered, push it onto the stack if it's empty or if the operator at the top of the stack has a lower precedence. Otherwise, pop operators from the stack and append them to the output until the stack is empty or the operator at the top of the stack has a lower precedence. Then, push the current operator onto the stack.
4. If an open parenthesis '(' is encountered, push it onto the stack.
5. If a close parenthesis ')' is encountered, pop operators from the stack and append them to the output until an open parenthesis '(' is encountered. Pop the open parenthesis but do not append it to the output.
6. After scanning the entire expression, if there are still operators in the stack, pop them and append them to the output.

Applying these rules, we get the following postfix expression:

a b c * 2 / + a c * 3 b / - -

Here's the evolution of the stack during each step:

1. Push '+'
2. Push '*', pop '+' (higher precedence), push '+'
3. Push '/'
4. Pop '*', pop '/', push '-'
5. Push '*', pop '-' (higher precedence), push '-'
6. Push '/'
7. Pop '*', pop '/', pop '+', pop '-'

The resulting postfix expression is: a b c * 2 / + a c * 3 b / - -

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Answer:

Only 4 I think, can I have branliest

Step-by-step explanation:

Answer:

i think its 4

Step-by-step explanation:pls mark branliest