Can you help me? Please

Answer:

[tex]51.4^{\circ}[/tex]

Step-by-step explanation:

Since this is a right triangle, the cosine formula says

[tex]\cos(x) = \dfrac{5.3}{8.5}[/tex]

[tex]\longrightarrow cos(x) = 0.6235[/tex]

[tex]So\\\\x = \cos^{-1}(0.6235) = 51.4256^{\circ}[/tex]

Rounded to the nearest tenth this would be
[tex]51.4^{\circ}[/tex]

The expression that shows the total number of cans collected by both homerooms is 14n - 4

The expression for more cans collected is 8n - 7 > 6n + 3

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

Homeroom      Cans Collected

Mr. Juarez        8n−7

Ms. Wade         6n+3

The total number of cans collected is calculated as

Cans collected = Mr. Juarez + Ms. Wade

Substitute the known values in the above equation, so, we have the following representation

Cans collected = 8n - 7 + 6n + 3

Evaluate the like terms

Cans collected = 14n - 4

Here, we have

Mr. Juarez's homeroom collected more cans

This means that

Mr. Juarez > Ms. Wade

Substitute the known values in the above equation, so, we have the following representation

8n - 7 > 6n + 3

Hence, the expression is 8n - 7 > 6n + 3

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In linear equation, The amount of butter used is an illustration of equivalent ratio.

The amount of butter used last month is 300kg.

What is  a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                           The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Because the bakery used 25% more last month, the amount they used is then calculated using

     Amount = ( 1 + 25%) * last month

Substitute 240kg for Last Month

  Amount = ( 1 + 0.25) * 240

Remove brackets

Amount = 1.25 * 240kg

              = 300 kg

Hence, the amount of butter used last month is 300kg.

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Answer:

Step-by-step explanation:

Answer:  BD = 5

Step-by-step explanation:

[tex]a^{2} +12^{2} =13^{2}[/tex]

[tex]a^{2} =13^{2}-12^{2}[/tex]

[tex]a = \sqrt{25}[/tex]

[tex]a = 5[/tex]

Therefore BD = 5

Answer:

(sqrt3)/2

Step-by-step explanation:

Sin(x)=opposite/hypotenuse

30, 60, 90 right triangle.

ratio of sides are 1, sqrt3, and 2.

Locate the 60 degree angle on the triangle

The opposite side is sqrt3

The hypotenuse is 2

so its (sqrt3)/2

Answer:

√3/2 or 0.866

Step-by-step explanation:

Answer:

The cake cost $6.00

Step-by-step explanation:

Let c = the cost of the cake

Let t =  the cost of the tea

c = 2t

c + 5t = 21  Substitute 2t for c

2t + 5t = 21  Combine like terms

7t = 21  Divide both sides by 7

[tex]\frac{7t}{7}[/tex] = [tex]\frac{21}{7}[/tex]

t = 3  

A cup of tea costs $3.00

c = 2t  Substitute 3 for t

c = 2(3)

c = 6

A cake costs $6.00

Answer:

Cake: £6

Step-by-step explanation:

1c = 2t             Eq. 1

1c + 5t = 21      Eq. 2

c = cost of a cake

t = cost of a cup of tea

Replacing Eq. 1 in Eq 2:

2t + 5t = 21

7t = 21

t = 21/7

t = 3

From Eq. 1:

c = 2t

c = 2*3

c = 6

Check:

From Eq. 2:

c + 5t = 21

6 + 5*3 = 21

6 + 15 = 21

The time since dinosaurs became extinct is roughly equal to 10⁶ average human lifespans

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

Rewrite the exponents properly

So, we have the following representation

This means that

Number of times = Time since dinosaurs became extinct/Average human lifespan

Substitute the known values in the above equation, so, we have the following representation

Number of times = 2.4 x 10¹⁰/2.4 x 10⁴

Evaluate the quotient

Number of times = 10⁶

Hence, the number of times is 10⁶

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The cylinder made with a paper size of 8.5 inches by 11 inches is having more volume and thus contains more chocolate, so, the statement by Oliver is wrong.

What is cylinder?

A cylinder is a three-dimensional solid that maintains two parallel bases spaced at a set distance from one another. These bases often have a circular form (like a circle).

Given:

The size of the first paper = 8.5 inches by 11 inches,

The size of the second paper = 11 inches by 8 inches,

The width of the paper when folded becomes the circumference of the cylinder circle, so,

Circumference of the cylinder for the first case = 2 × π × r

11 = 2 × π × r,

r = 1.75 inches,

The volume of the cylinder for the first case = π × r² × h

The volume of the cylinder for the first case = π × (1.75)² × 8.5

The volume of the cylinder for the first case = 81.78 inches³

Calculate the volume for the second case,

Circumference of the cylinder for the second case = 2 × π × r,

8.5 = 2 × π × r

r = 1.35 inches

The volume of the cylinder for the second case = π × (1.35)² × 11

The volume of the cylinder for the first case = 63.24 inches³

As we know, the cylinder with a higher volume contains more chocolate.

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The solution is

a) The compound interest for the second period is $ 2.01 and the amount after the second period is $ 404.01

b) The compound interest for the first period is $ 114.125 and the amount is $ 18,374.125

The compound interest for the second period is $ 114.83828125 and the amount after second period is $ 18,488.96

What is Compound Interest?

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

a)

Let the principal be P = amount after first period =  $ 402

Now , the rate of interest r = 6 %

The compound interest is calculated by compounding monthly

Now , the interest for the second period = ( PRT / 100 x 12 )

Substituting the values in the equation , we get

The interest for the second period = ( 402 x 6 x 1 ) / 1200

The interest for the second period = $ 2.01

The amount after the second period = amount after first period +  interest for the second period

The amount after the second period = 402 + 2.01

The amount after the second period = $ 404.01

b)

Let the principal be P = $ 18260

The rate of interest r = 2.5 %

The compound interest is calculated by compounding quarterly

Now , the interest for the first period = ( PRT / 4 x 100 )

Substituting the values in the equation , we get

The interest for the first period = ( 18260 x 2.5 ) / 400

The interest for the first period = 45650 / 400

The interest for the first period = $ 114.125

The amount for the first period = 18260 + 114.125

The amount for the first period = $ 18,374.125

Now , the principal for the second period = interest + amount of first period

The principal for the second period = $ 18,374.125

The rate of interest = 2.5 %

The interest for the second period = ( PRT / 4 x 100 )

Substituting the values in the equation , we get

The interest for the second period = ( 18374.125 x 2.5 ) / 400

The interest for the second period = 45935.3125 / 400

The interest for the second period = $ 114.83828125

The amount for the second period = 18,374.125+ 114.84

The amount for the second period = $ 18,488.96

Hence , the amount and interest is calculated

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Answer:

2.  43 degrees

3.  35 degrees

Step-by-step explanation:

Srr the attached worksheet.

The fractions reduced to standard form are -2/5, 1/5, 1/2 and 5/11 for 1), 2), 3), and 4) respectively

To reduce a fraction to standard form, you need to divide both the numerator (the top number) and the denominator (the bottom number) by their greatest common divisor (GCD). The GCD is the largest number that can be evenly divided into both the numerator and the denominator.

Given:

1) -18/45

The GCD of 18 and 45 is 9. Thus:

-18/45 = -2/5

2) -3/-15

The GCD of 3 and 15 is 3. Thus:

-3/-15 = 1/5

3) 28/56

The GCD of 28 and 56 is 28. Thus:

28/56 = 1/2

4) 45/99

The GCD of 45 and 99 is 9. Thus:

45/99 = 5/11

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1)-6/15

2)1/5

3)1/2

4)5/11

1) -18/45

⇒-6/15

2)-3/-15

⇒-1/-5

⇒1/5

3)28/56

⇒4/8

⇒1/2

4)45/99

⇒15/33

⇒5/11

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The slope of the equation 10x+5y-15=0 is -2 and the y-intercept is 3.

What is the slope-intercept form of the line?

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y-intercept (0, b). In the formula, b represents the y value of the y-intercept point.

To find the slope of the equation, we need to put it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

To do this, we can first divide both sides of the equation by 5 to get:

2x + y - 3 = 0

Then, we can add 3 to both sides to get:

y = -2x + 3

Now comparing the equation with y = mx + c, we can say that

the slope is -2 and the y-intercept is 3.

Hence, the slope of the equation 10x+5y-15=0 is -2 and the y-intercept is 3.

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Answer:

55

Step-by-step explanation:

Using the Pythagorean theorm:

a^2+b^2=c^2

48^2+b^2=73^2

b^2=73^2-48^2

b^2=3025

b=55

Sample size  123  is needed to estimate the mean weight to within 135 lbs with a 99% confidence level

What is confidence interval?

In statistics, the probability that a population parameter will fall between a set of values for a predetermined percentage of the time is referred to as the confidence interval. Analysts frequently employ confidence ranges that include 95% or 99% of anticipated observations.

Z(α/2) at 99% confidence level = 2.576

λ = 579

margin of error = ( Z(α/2) * λ ) / √n = 135

                        (2.576 * 579) / √n = 135

On simplifying, n ≈ 123

So, sample size  123  is needed to estimate the mean weight to within 135 lbs with a 99% confidence level

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If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle. Explanation is given.

Lines that cross the angle under investigation are known as angle bisectors. To "bisect" is to split into two sections of equal size. Therefore, the bisected halves divide the considered angle in half.

According to the angle bisector theorem;

An angle bisector divides the opposing side of a triangle into two portions that are proportionate to the other two sides, according to the angle bisector theorem.

a point is equally far from both sides of an angle if it is on the angle's bisector.

According to the inverse of the angle bisector theorem, a point is on the angle's bisector if it is both in the interior of the angle and equally far from its sides.

The explanation with diagram is given in the image.

Therefore, If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.

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Answer:

B=28

Step-by-step explanation:

The equation of the line is 3y = -4x + 18 and the Graph can draw as given in the picture.

The slope-intercept form a line is given by  

where m is the slope of a line and c is the y-intercept.

Here we use the Slope intercept form to find the line of the equation by using the equation we will draw the graph of the line

Here we have

Slope of line = -4/3

The point of the line

As we know y = mx + c is the line Here m is the slope of the line

From the given data, m = -4/3

=> y = (-4/3)x + c

=> 3y = -4x + 3c

Given that the point on the line is (-6, 2)

=> 3(2) = -4(-6) + 3c

=> 6 = 24 + 3c

=>  3c = 18

=> c = 6

Therefore,

The equation of the line is 3y = -4x + 18 and the Graph can draw as given in the picture.

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Answer:

[tex]b = 6\sqrt{2}[/tex]

Step-by-step explanation:

Don't say giving brainiest for work, I will still help you.

Use the Pythagorean Theorem to solve:

[tex]a^2+b^2=c^2[/tex]

A and B refers to the legs, or the shorter sides. C refers to the hypotenuse, or the longest side.

Plug in what you know:

[tex](7)^2+b^2=(11)^2[/tex]

[tex]49 + b^2 = 121[/tex]

Subtract 49 on both sides.

[tex]49 - 49 + b^2 = 121-49[/tex]

[tex]b^2=72[/tex]

Find the square root of both sides.

[tex]\sqrt{b^2} = \sqrt{72}[/tex]

b = [tex]6\sqrt{2}[/tex]

The total amount that Mikaela spent on the paddleboard will be  $449.80.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths.

As per the given,

Original price = $699

The selling price = $699 - 40% of $699

⇒ $699 - 0.40 x $699 = $419.4

The state tax (assuming it applied to the selling price) will be as,

7.25% of $419.4 = (7.25/100) x 419.4 = $30.4065

Final amount = $419.4 + $30.4065 = $449.80

Hence "Mikaela will have spent $449.80 in total on the paddleboard".

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Observing the provided figure and using the transformation rule of geometry, The required transformation to map figure H onto figure I is reflection along y=x axis.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

In a mirror line, reflection is a type of transformation that reverses the shape so that each point is at the same distance from the mirror line as its reflected point.

Figure H

Mapped onto figure I

The required transformation:

reflection along y=x.

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The graph of the function f(x) = x(x - 5)(x - 3) is given by the image shown at the end of the answer.

To draw the sketch of the graph, we need to consider these three following features:

The function in this problem is defined as follows:

f(x) = x(x - 5)(x - 3).

From the factor theorem, the x-intercepts are taken from the linear factors, as follows:

The y-intercept is the value of y when the graph of the function crosses the y-axis, that is, the value of y when x = 0, hence:

f(0) = 0(0 - 5)(0  -3) = 0.

In the problem, we have a cube function, hence:

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Answer:

find my dad

Step-by-step explanation:

Answer:

f^-1(x) = 2(x-2)^2 + 1

f^-1(x) = (x+3)^3

Step-by-step explanation:

The inverse of a function is found by switching the roles of the dependent and independent variables. In other words, we can find the inverse of a function by interchanging the x and y values in the equation. So, the inverse of the function f(x) = 2(x-2)^2 + 1 can be written as f^-1(x) = 2(x-2)^2 + 1.

1. To find the inverse function explicitly, we can use the following steps:

2. Replace f(x) with y in the original function to obtain y = 2(x-2)^2 + 1.

3. Solve for x in terms of y to obtain x = +/- sqrt((y-1)/2) + 2.

The inverse function f^-1(x) can then be written as f^-1(x) = +/- sqrt((x-1)/2) + 2.

Note that this inverse function is not a one-to-one function, because for some values of x (namely, x < 1), the function has two possible values of y (i.e. it has two solutions). Therefore, the inverse function is not a function in the strict mathematical sense, but it is still a useful concept in certain contexts.

To find the inverse of a function, we switch the roles of the dependent and independent variables, so the inverse function can be written as x = ^3√y-3.

1. To find the inverse function explicitly, we can use the following steps:

2. Replace y with x in the original function to obtain x = ^3√y-3.

3. Solve for y in terms of x to obtain y = (x+3)^3.

The inverse function can then be written as f^-1(x) = (x+3)^3.

Note that this inverse function is a one-to-one function, meaning that for every value of x, there is only one corresponding value of y. Therefore, the inverse function is a function in the strict mathematical sense.

Answer:

A. 36/5

Step-by-step explanation:

cross multiply

6/5 = x/6

5x = 36

x = 36/5

Answer:

A) [tex]\frac{36}{5}[/tex]

Step-by-step explanation:

[tex]\frac{6}{5}[/tex] = [tex]\frac{x}{6}[/tex]  Cross multiply and solve for x

36 = 5x  Divide both sides by 5

[tex]\frac{36}5}[/tex] = [tex]\frac{5x}{5}[/tex]

[tex]\frac{36}{5}[/tex] = x

Answer:

y = 1/4x - 4

Step-by-step explanation:

4x + y = 3

y = -4x + 3

Perpendicular slope = 1/4

y = 1/4x + b

-3 = 1/4(4) + b

-3 = 1 + b

b = -4

y = 1/4x - 4

Answer: 40

Step-by-step explanation:

all you have to to is subtract

9 from 49 = 40

Answer:40

Step-by-step explanation:49-9=40

Answer:

please tell me if you get the answer. I need it too!

A graph is a collection of points and the connections between some subset of those points that may or may not be empty in mathematical terms.

The given function is f (x ) = [tex]3e^{2x}[/tex]

1. Domain :

2.Range :

3.Continuity:

4.Behaviour that is either increasing or decreasing:

5.Symmetry:

6.Boundedness:

7.Extrema:

8.Asymptotes:

9.End behaviour :

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yes, z can lie between x and y but z can also lie on another side of x in Number lines.

With an example, define number line?

Number lines in mathematics are horizontal straight lines on which numbers are arranged in equal intervals.

                  A number line can be used to visualize all the numbers in a succession. The endpoints of this line go on forever.

What does the math number line mean?

A horizontal line with uniformly spaced numerical increments is called a number line. How the number on the line can be answered will depend on the numbers that are provided.

                               How a number is used—for example, to plot a point—depends on the question that goes with it.

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