a) Calculate the value of x.

Answer:

I only know No.1

Step-by-step explanation:

The figure is a right triangle i'm sorry I cant do much more than that.

Answer:

(-1, 4) and (3, 12)

Step-by-step explanation:

I plugged the equation into a graphing calculator and saw where the points were located at. But this is really easy to do on paper as well as long as you can graph equations.

Answer:

110.5mm

Step-by-step explanation:

Formula : a = hb/2

a = 13(17)/2

221/2 = 110.5

Answer:

25°

Step-by-step explanation:

A triangle will always add up to 180 degrees when all angles are added.

So:

100 + 55 = 155

180 - 155 = ∠B

180 - 155 = 25

∠B = 25°

Answer:

1. is monomial

2. is binomial

3. is binomial

4. is trinomial

5. is trinomial

6. is binomial

Step-by-step explanation:

See...you need to know that the polynomial is determined by the number of unlilke terms in the expresion. i.e number of terms left that cant ne add subtracted or simplified anymore.

if its helpful send more quest om this...and domt forget brainliest

The expression shown are 1. Monomial 2. Not a polynomial 3. Binomial 4. Trinomial 5. Not a polynomial 6. Binomial

Polynomials are expressions of the form,

a₀ + a₁ x + a₂ x² + ................. + aₙ₋₁ xⁿ⁻1 + aₙ xⁿ

where a's are the coefficients, x is the variable and n is the number of terms.

1. 36

36 can be written as 36 x⁰.

This is a constant polynomial.

Since there is only one term, it is monomial.

2. \(\frac{3}{q^{2} }\) + 5

This can be written as 3 q⁻² + 5.

The exponent of the variable is not a whole number, so is not a polynomial.

3. 7x - x + 5

This can be written as 6x + 5.

This is a polynomial and is binomial since there are two terms.

4. 8g²h - 7gh + 2

This is a polynomial in two variables.

This is a trinomial, as there are three terms.

5. \(\frac{1}{4y^{2} }\) + 5y - 8

This can be written as 1/4 y⁻² + 5y - 8

This is not  a polynomial as the exponent is not a whole number.

6. 6x + x²

This is a polynomial.

It is a binomial.

Hence four of the expressions shown are polynomials.

To learn more about Polynomials, click on the link :

https://brainly.com/question/11536910

#SPJ2

Answer:

A=Bh

Step-by-step explanation:

Multiply 6 and 2 then divide by two

Answer:

43.98

Step-by-step explanation:

The radius would be 1 and the height is 6cm.

Answer:

3

Step-by-step explanation:

y+3=-y+9

Move -y to the left and move +3 to the right and change the + into a -

y+y=-3+9

Calculate

2y=6

Divide both members by 2

y=3

Answer:easy 8

Step-by-step explanation: first you have to use the distributive property and then combine like terms so k=8

Answer:

64$

Step-by-step explanation:

Answer:

6 units

Step-by-step explanation:
To find out how far apart two points are on a graph, we must count the spaces that separate them along the x and y axis

Counting on the x-axis, Point A is 2 units to the left of Point B

On the y-axis, Point A is 4 units below Point B.

Add the two to get the total units

The future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

To calculate the future value (FV) of an investment of $10,000 at an interest rate of 6% per year, compounded annually, after 7 years, we can use the formula:

FV = P(1 + r)^n

Where:

P is the principal amount (initial investment) = $10,000

r is the interest rate per period = 6% = 0.06

n is the number of periods = 7

Plugging in the values, we have:

FV = $10,000(1 + 0.06)^7

Calculating the expression inside the parentheses first:

(1 + 0.06)^7 ≈ 1.41851

Now, multiply the principal amount by the calculated expression:

FV ≈ $10,000 * 1.41851 ≈ $14,185.10

Therefore, the future value of the $10,000 investment after 7 years, at an interest rate of 6% per year, compounded annually, is approximately $14,185.10.

Learn more about   interest rate  from

https://brainly.com/question/25720319

#SPJ11

Answer:

A. 106

B. 25

Step-by-step explanation:

A. 33 times 2 = 66

66 Plus the 40 for the membership

66 + 40 = 106

B. 90 - 40 = 50  (40 from the membership)

50 divided by 2 = 25

The convolution of f(t) = e^(-5t) and g(t) = {2, 0, 0 ≤ t < 4; 0, t ≥ 4} is given by h(t) = {2e^(-5t), 0 ≤ t < 4; 2e^(-5(t-4)), t ≥ 4}.

The convolution of two functions f(t) and g(t) is defined as:

h(t) = ∫_0^t f(τ) g(t-τ) dτ

In this case, we have:

f(t) = e^(-5t)

g(t) = {2, 0, 0 ≤ t < 4; 0, t ≥ 4}

To find the convolution h(t), we need to split g(t) into two parts based on the value of t:

For 0 ≤ t < 4, we have g(t) = 2.

For t ≥ 4, we have g(t) = 0.

Therefore, we can write:

h(t) = ∫_0^t e^(-5τ) 2 dτ + ∫_4^t e^(-5τ) 0 dτ

Simplifying the second integral, we get:

h(t) = 2 ∫_0^t e^(-5τ) dτ

h(t) = 2 [-1/5 e^(-5τ)]_0^t

h(t) = 2 (-1/5 e^(-5t) + 1/5)

h(t) = 2e^(-5t) - 2/5, for 0 ≤ t < 4

For t ≥ 4, we have:

h(t) = ∫_0^4 e^(-5τ) g(t-τ) dτ + ∫_4^t e^(-5τ) g(t-τ) dτ

Since g(t-τ) is zero for t-τ < 0, we can simplify the first integral to:

∫_0^(t-4) e^(-5τ) 2 dτ

Using the same technique as before, we can evaluate this integral to get:

[-1/5 e^(-5τ)]_0^(t-4)

= -1/5 e^(-5(t-4)) + 1/5

For the second integral, we have g(t-τ) = 0, so it simplifies to 0.

Therefore, we have:

h(t) = -1/5 e^(-5(t-4)) + 1/5, for t ≥ 4

Combining the two expressions for h(t), we get:

h(t) = {2e^(-5t), 0 ≤ t < 4; 2e^(-5(t-4)), t ≥ 4}

Thus, the convolution of f(t) = e^(-5t) and g(t) = {2, 0, 0 ≤ t < 4; 0, t ≥ 4} is given by h(t) = {2e^(-5t), 0 ≤ t < 4; 2e^(-5(t-4)), t ≥ 4}.

To learn more about convolution click here : brainly.com/question/31481291

#SPJ11

The convolution of f(t) = e^(-5t) and g(t) = {2, 0, 0 ≤ t < 4; 0, t ≥ 4} is given by h(t) = {2e^(-5t), 0 ≤ t < 4; 2e^(-5(t-4)), t ≥ 4}.

The convolution of two functions f(t) and g(t) is defined as:

h(t) = ∫_0^t f(τ) g(t-τ) dτ

In this case, we have:

f(t) = e^(-5t)

g(t) = {2, 0, 0 ≤ t < 4; 0, t ≥ 4}

To find the convolution h(t), we need to split g(t) into two parts based on the value of t:

For 0 ≤ t < 4, we have g(t) = 2.

For t ≥ 4, we have g(t) = 0.

Therefore, we can write:

h(t) = ∫_0^t e^(-5τ) 2 dτ + ∫_4^t e^(-5τ) 0 dτ

Simplifying the second integral, we get:

h(t) = 2 ∫_0^t e^(-5τ) dτ

h(t) = 2 [-1/5 e^(-5τ)]_0^t

h(t) = 2 (-1/5 e^(-5t) + 1/5)

h(t) = 2e^(-5t) - 2/5, for 0 ≤ t < 4

For t ≥ 4, we have:

h(t) = ∫_0^4 e^(-5τ) g(t-τ) dτ + ∫_4^t e^(-5τ) g(t-τ) dτ

Since g(t-τ) is zero for t-τ < 0, we can simplify the first integral to:

∫_0^(t-4) e^(-5τ) 2 dτ

Using the same technique as before, we can evaluate this integral to get:

[-1/5 e^(-5τ)]_0^(t-4)

= -1/5 e^(-5(t-4)) + 1/5

For the second integral, we have g(t-τ) = 0, so it simplifies to 0.

Therefore, we have:

h(t) = -1/5 e^(-5(t-4)) + 1/5, for t ≥ 4

Combining the two expressions for h(t), we get:

h(t) = {2e^(-5t), 0 ≤ t < 4; 2e^(-5(t-4)), t ≥ 4}

Thus, the convolution of f(t) = e^(-5t) and g(t) = {2, 0, 0 ≤ t < 4; 0, t ≥ 4} is given by h(t) = {2e^(-5t), 0 ≤ t < 4; 2e^(-5(t-4)), t ≥ 4}.

To learn more about convolution click here : brainly.com/question/31481291

#SPJ11

The length of side CD is equal to 11 units.

Given coordinates of rectangle are A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5)

We are require to find the length of side CD.

Rectangle is a two dimensional figure whose two opposite sides are equal to each other. Distance between two coordinates is the equal to length of a side.

We know that the distance means how far two points are located.

Coordinates of  A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5).

Distance=\(\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2} }\) where (\(x_{1} ,y_{2} )(x_{2} ,y_{2} )\) are the coordinates of two ends of a line.

CD=\(\sqrt{(-5-6)^{2} +(-4+4)^{2} }\)

=\(\sqrt{11^{2}+0^{2} }\)

=\(\sqrt{121}\)

=11 units.

Hence the length of side CD is 11 units.

Learn more about distance at https://brainly.com/question/17273444

#SPJ4

Question is wrong as it should be :

Coordinates of rectangle A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5) and find the length of CD.

Answer:  p(θ|x) dθ = 1 − α.

Step-by-step explanation: the critical value is computed based on the given significance level α and the type of probability distribution of the idealized model

The value of x should be \(\frac{15}{2}\)  from linear equation in one variable.

There is only one distinct solution for any linear equation with one variable.

The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has just one solution. For instance, the linear equation 2x+3=8 only has one variable.

Calculation of the value of x:

Since

5x \(\frac{3}{4}\) - \(\frac{1}{6}\)x = 4x \(\frac{1}{2}\)

So, it can be like

5x \(\frac{3}{4}\)  - 4x \(\frac{1}{2}\) =  \(\frac{1}{6}\)x

Now

5x \(\frac{3}{4}\)  - 4x \(\frac{1}{2}\) =  \(\frac{1}{6}\)x

\(\frac{11}{4}\)= \(\frac{1}{6}\)x

Now we have to divide both sides by  \(\frac{1}{6}\)

So,

\(\frac{30}{4}\) = x

x =\(\frac{15}{2}\)

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

We need to integrate

\(\\ \tt\Rrightarrow {\displaystyle{\int}_{-3}^{-2}}3x^2-x-1\)

\(\\ \tt\Rrightarrow \left[\dfrac{3}{4}x^4-\dfrac{x^2}{2}-x\right]_{-3}^{-2}\)

\(\\ \tt\Rrightarrow \dfrac{3}{4}(-2)^4-\dfrac{(-2)^2}{2}-(-2)-\left(\dfrac{3}{4}(-3)^4-\dfrac{(-3)^2}{2}+3\right)\)

\(\\ \tt\Rrightarrow 12-2+2-(\dfrac{243}{4}-\dfrac{9}{2}+2)\)

\(\\ \tt\Rrightarrow 12-(\dfrac{225}{4}+2)\)

\(\\ \tt\Rrightarrow 12-\dfrac{233}{4}\)

\(\\ \tt\Rrightarrow \dfrac{48-233}{4}\)

\(\\ \tt\Rrightarrow \dfrac{-185}{4}\)

\(\\ \tt\Rrightarrow 46(approx)\neq 0\)

It has a zero in between-3 and -2

Answer:

see explanation

Step-by-step explanation:

Evaluate f(x) for x = - 3 and - 2

f(- 3) = 3(- 3)² - 10(- 3) + 9 = 3(- 27) + 30 + 9 = - 81 + 39 = - 42

Then (- 3, - 42 ) is below the x- axis

f(- 2) = 3(- 2)³ - 10(- 2) + 9 = 3(- 8) + 20 + 9 = - 24 + 29 = 5

Then (- 2, 5 ) is above the x- axis

Since f(x) is below the x- axis at x = - 3 and above the x- axis at x = - 2

Then it must cross the x- axis between x = - 3 and x = - 2

Indicating there is a real zero between - 3 and - 2

If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

To learn more about correlation click here:

brainly.com/question/16169720

#SPJ11

Answer:

24 months

Step-by-step explanation:

The cost of installing insulation in a two bedroom home is $2,400

The monthly heating cost is $200, and it is then reduced by 50%

Then the new monthly heating cost can be calculated as follows

= 50/100 × 200

= 0.5 × 200

= $100

Therefore the number of months that it will take to recover the cost of insulation can be calculated as follows

= 2,400/100

= 24

Hence it will take 24 months

Answer:

\(\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Step-by-step explanation:

\(\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Answer:

Please check the explanation below.

Step-by-step explanation:

Note: As you forgot to mention the graphs of a linear function. But, let me clear your concept with an example of a linear function.

We know that linear function is of the form

y = mx+b

where

We know that the graph of a linear function is a straight line because the highest power of the exponent of the x variable is 1.

Thus, y = mx+b represents a straight line.

For example,

Let the linear function

y = 2x+3

comparing with the linear function of the form y = mx+b

As the highest power of the exponent of a variable is 1, therefore y = 2x+3 represents a straight line.

The graph of the linear function y = 2x+3 is also attached below.

Answer:

To find the distance between two points, we can use the distance formula:

distance = √[(x2 - x1)² + (y2 - y1)²]

Let's plug in the given values:

distance = √[(-7 - (-2))² + (-12 - (-4))²]

distance = √[(-7 + 2)² + (-12 + 4)²]

distance = √[-5² + (-8)²]

distance = √[25 + 64]

distance = √89

So the distance between the points (-2, -4) and (-7, -12) is approximately 9.43 units (rounded to two decimal places).

If you found this helpful mark this as the brainliest! Im always here if you need anymore help!!

Answer:

12

Step-by-step explanation:

I really don't know but I am saying 12 because December is the 12 month of the year.

Let me know if I am correct.

Have an awesome day! :)

Answer:

C). Circle Graph

Step-by-step explanation:

As per the question, a 'circle graph' would be most adequate to display that the majority of the teenagers prefer to do their study and homework in their bedrooms. A circle graph or pie-chart represents the data in a visually appealing manner using colors to display various proportions of the data that makes it easy to understand for the readers. Thus, more than half of the circle filled with the same color will clearly hint that most of the teenagers love doing their studies in their bedroom. Thus, option C is the correct answer.

Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

Answer:

20

Step-by-step explanation:

12 X (3+2) / 2 - 10

BIDMAS needs to be used here!

(Brackets, Indices, Division, Multiplication, Addition, Subtraction)

To show us what order to do the question.

12 x (5) /  2 - 10

60 / 2 - 10

30 - 10

20

Hope this helps, have a good day. :D

The value of | a b c 7d + a 7e + b 7f + c g h i| is given by -35 + b(ch - di) + c(gi - eh) + a(hk - fg).

Expanding the determinant using the first row, we get:

| a b c 7d + a 7e + b 7f + c g h i|

= a | b c 7d + 7e b 7f + g h i| - b |a c 7d + 7e c 7f + g h i| + c |a b 7d + 7e 7f + g h i|

= a | b c 7d + 7e b 7f + g h i| + b |a c 7d + 7e c 7f + g h i| - c |a b 7d + 7e 7f + g h i|

Now, we can expand each of the three determinants on the right-hand side using the first row and simplify:

| b c 7d + 7e b 7f + g h i| = b | c 7f h i| - 7e |b 7f h i| + g |b c h i|

= -7e b |7f h i| + g |b c h i| - h |b c 7f i| + i |b c 7f h|

= -7e bi + gh - bhf + chi

|a c 7d + 7e c 7f + g h i| = a |c 7f h i| - 7e |c 7d h i| + g |c 7d 7f i|

= 7e ac - gci + chd - ahf

|a b 7d + 7e 7f + g h i| = a |b 7f h i| - 7e |b 7d h i| + g |b 7d 7f i|

= -7e ab + ghi - bgd + aef

Substituting these expressions back into the expanded determinant and simplifying, we get:

| a b c 7d + a 7e + b 7f + c g h i|

= a(-7e bi + gh - bhf + chi) + b(7e ac - gci + chd - ahf) + c(-7e ab + ghi - bgd + aef)

= -7abe - 7bdf - 7cfg + 7aef + bch + cgi + ahk - ceh - afg - bdi

= -7(abe + bdf + cfg - aef) + (bch + cgi + ahk - ceh - afg - bdi)

Since |a b c d e f g h i| = 5, we have:

abe + bdf + cfg - aef = 5

Therefore, we can simplify the expression further:

| a b c 7d + a 7e + b 7f + c g h i|

= -7(5) + (bch + cgi + ahk - ceh - afg - bdi)

= -35 + b(ch - di) + c(gi - eh) + a(hk - fg)

Hence, the value of | a b c 7d + a 7e + b 7f + c g h i| is given by -35 + b(ch - di) + c(gi - eh) + a(hk - fg).

Learn more about determinant

https://brainly.com/question/14083225

#SPJ4

The simplified expression for | a b c 7d + a 7e + b 7f + c g h i| is 7| a b c d g h i| + 7| a b c e g h i| - 35.

First, factor out the 7 from the second row:

| a b c 7(d + e + f) g h i| = 7| a b c d + e + f g h i|

Expand the second row using the property of determinants that allows us to break up a row sum:

7(| a b c d g h i| + | a b c e g h i| + | a b c f g h i|)

Now, use the property of determinants that allows us to switch rows and multiply by -1:

7(| a b c d g h i| + | a b c e g h i| - | d e f a b c g h i|)

Recognize that the third determinant is equivalent to the given determinant, but with rows 1 and 3 switched, which

gives us:

7(| a b c d g h i| + | a b c e g h i| - 5)

Finally, multiply 7 by the expression inside the parentheses:

7| a b c d g h i| + 7| a b c e g h i| - 35

So, the simplified expression for | a b c 7d + a 7e + b 7f + c g h i| is 7| a b c d g h i| + 7| a b c e g h i| - 35.

for such more question on expression

https://brainly.com/question/1859113

#SPJ11

The value of a is 1/64.

The rules of the exponent are

(a) \(a^m*a^n=a^{m+n\)

(b)\(a^m/a^n=a^{m-n\)

(c)\((a^b)^c=a^{bc}\)

(d) \(\sqrt[n]{a}=a^{1/n\)

(e) a⁻ⁿ=1/aⁿ

From the table it is clear that

By the rule of the exponent a⁻ⁿ=1/aⁿ

where a=2

2⁻¹ = 1/2¹ = 1/2

2⁻² =1/2² =1/4

2⁻³ =1/2³ =1/8

2⁻⁴ =1/2⁴ =1/16

2⁻⁵ =1/2⁵ =1/32

So we have to calculate the left one where it is given that we have to estimate the value for 2⁻⁶ which is a.

From the above, it is clear that 2⁻ⁿ =1/2ⁿ

using the above formula

2⁻⁶= 1/2⁶ =1/64= a

Therefore the value of a is 1/64.

Learn more about the exponent

here: https://brainly.com/question/535578

#SPJ10

Answer:

15c = m

Step-by-step explanation:

for every car she washes she learns 15 dollars. So you would multiply the number of cars she washes by 15 to get the amount she earns