Brandon buys a radio for $45.85 In a state where the sales tax is 7%.​

Answer:

\((4x + 11) + (12x + 2) =(4x + 12x) + (2 + 11) = 16x + 13\)

Step-by-step explanation:

Answer = a. 16x+13

Check the picture below.

The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

Learn more about clock rotation:

brainly.com/question/28741125

#SPJ1

Answer:

3rd option

Step-by-step explanation:

Under a rotation about the origin of 270°

a point (x, y ) → (y, - x ) , then

A (- 3, 4 ) → (4, - 3 )

B (4, - 5 ) → (- 5, - 4 )

C (1, 6 ) → (6, - 1 )

The center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).

The coordinate plane is a two-dimensional plane formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.

The given information suggests that each point has been rotated 90 degrees counterclockwise around some point (h, k) on the coordinate plane.

To find this point, we can use the fact that the midpoint of the line segment joining each point to its image must be the center of rotation.

Midpoint of segment AA'/4: ((-3 + 4)/2, (4 + 3)/2) = (1/2, 7/2)

Midpoint of segment BB'/5: ((4 - 5)/2, (-5 - 4)/2) = (-1/2, -9/2)

Midpoint of segment CC'/6: ((1 + 6)/2, (6 - 1)/2) = (7/2, 5/2)

Thus, the center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).

For more details regarding coordinate plane, visit:

https://brainly.com/question/13611766

#SPJ7

The probability of the sets are solved and

a) n(P U Q) = 85%

b) n(P ∩ Q) = 20%

c) n(only P) = 35%

d) n(only Q) = 30%

Given data ,

P and are the subsets of universal set U

And , n (p) = 55% n (Q) = 50% and n(PUO)complement = 15%

Now , we'll use the formula for the union and intersection of sets:

n(P U Q) = n(P) + n(Q) - n(P ∩ Q)

n(P ∩ Q) = n(P) + n(Q) - n(P U Q)

n(only P) = n(P) - n(P ∩ Q)

n(only Q) = n(Q) - n(P ∩ Q)

We're given that:

n(P) = 55%

n(Q) = 50%

n(P U Q)' = 15%

To find n(P U Q), we'll use the complement rule:

n(P U Q) = 100% - n(P U Q)'

n(P U Q) = 100% - 15%

n(P U Q) = 85%

Now we can substitute the values into the formulas above:

(i)

n(P U Q) = n(P) + n(Q) - n(P ∩ Q)

n(P ∩ Q) = n(P) + n(Q) - n(P U Q)

n(P ∩ Q) = 55% + 50% - 85%

n(P ∩ Q) = 20%

(ii)

n(P ∩ Q) = 20%

(iii) n(only P) = n(P) - n(P ∩ Q)

n(only P) = 55% - 20%

n(only P) = 35%

(iv)

n(only Q) = n(Q) - n(P ∩ Q)

n(only Q) = 50% - 20%

n(only Q) = 30%

Hence , the probability is solved

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

Answer:

(7-d)(7+d)

Step-by-step explanation:

49 - d^2

Rewriting

7^2 - d^2

We know that a^2 - b^2 = (a-b)(a+b)

(7-d)(7+d)

The answer you are looking for is -(d+7)(d-7).

Answer:

7/15

Step-by-step explanation:

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 4 by 3, and get 12.

Then we multiply 1 by 5, and get 5.

Next we give both terms new denominators -- 5 × 3 = 15.

So now our fractions look like this:

12

15

−  

5

15

Step 2

Since our denominators match, we can subtract the numerators.

12 − 5 = 7

So the answer is:

7

15

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 7. So we're done reducing.

The coordinates of point R are (-18/5, 6/5).

What is coordinate geometry?

Coordinate geometry is a branch of mathematics that deals with the study of geometric shapes and figures using the coordinate system. In coordinate geometry, points are represented by ordered pairs of numbers, usually denoted by (x, y). The x-coordinate represents the horizontal distance of the point from the origin (0,0), and the y-coordinate represents the vertical distance of the point from the origin.

Coordinate geometry allows us to represent geometric figures such as lines, circles, and curves using algebraic equations. For example, a line can be represented by the equation y = mx + b, where m is the slope of the line and b is the y-intercept. Similarly, a circle can be represented by the equation (x - a)^2 + (y - b)^2 = r^2, where (a,b) is the center of the circle and r is its radius.

Coordinate geometry is a useful tool in various fields, such as engineering, physics, and computer graphics. It allows us to solve geometric problems by applying algebraic methods, and provides a visual representation of geometric figures using the coordinate plane.

To find the coordinates of R, we need to first find the equation of the line L that passes through points P(-6,0) and Q(0,3). We can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.

The slope of the line passing through P and Q is:

m = (3 - 0) / (0 - (-6)) = 3/6 = 1/2

To find the y-intercept, we can use the point-slope form of a line, y - y1 = m(x - x1), where (x1, y1) is one of the two given points on the line. Let's use point P(-6,0):

y - 0 = (1/2)(x - (-6))

Simplifying the equation, we get:

y = (1/2)x + 3

Now, let's find the coordinates of point R. We know that PQ:QR = 2:3, so we can use the section formula to find the coordinates of R. The section formula is:

(x,y) = ((2x2 + 3x1)/(2+3), (2y2 + 3y1)/(2+3))

Let's use points P(-6,0) and Q(0,3) as our two points, and let (x,y) be the coordinates of point R:

(x,y) = ((20 + 3(-6))/(2+3), (23 + 30)/(2+3))

Simplifying the equation, we get:

(x,y) = (-18/5, 6/5)

Therefore, the coordinates of point R are (-18/5, 6/5).

To know more about coordinate geometry visit:

https://brainly.com/question/1601567

#SPJ1

Answer:

y=x+2

y=x+4

slope intercept form is y=mx+b

Answer:

x = -2.65865384615

Step-by-step explanation:

-91x - 13x = 276.50

First, Combine Like Terms

-91x + (-13x) = -104x

-104x = 276.50

Second, divide

276.50 / -104 = x

x = -2.65865384615

Therefore , the solution of the given problem of graphs comes out to be  graph of y  = 2ˣ .

Graphs are used by theoretical physicists to visually or analytically vertices chart assertions rather than values. Typically, a graph point shows the relationship between several different objects. A graph is a particular kind of  train assembly consisting of groups and lines. The networks, also known as the borders, should be joined with glue. The edges of this network had the digits 1, 2, 3, and 4, along with the numerals (2.5), (3.5),

Here,

y =  logₐ(x); logarithmic function (x)

The matching points that must appear on the graph x = bx can be found using the procedure below.

Step 1: In the equation  

=> x = bˣ

=> 2= b¹

=> b =2

replace (2,1) with the value of x and y.

Step 2: Now change the number of b in the equation to make

=> y = 2ˣ

Step 3: The above equation becomes y=2 at (x = 1).

Step 4 - The equation (2) becomes: at (x = 2)

Step 5 - The equation (2) becomes: y = 16 at (x = 4)

The graph of y  = 2ˣ

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ1

Step-by-step explanation:

At t = 0   the graph shows the initial height to be 12 544 ft

the probability that 30 randomly selected students had a mean age at graduation greater than 26 is approximately 0.0179, or 1.79%.

To find the probability that 30 randomly selected students had a mean age at graduation greater than 26, we can use the Central Limit Theorem since we have a large sample size (n = 30).

The Central Limit Theorem states that if we have a random sample of n observations from a population with mean μ and standard deviation σ, then the sampling distribution of the sample mean (\(\bar{X}\)) approaches a normal distribution with mean μ and standard deviation σ/√n as n increases.

In this case, the mean age at graduation is μ = 24 years and the standard deviation is σ = 5.2 years. We want to find the probability that the mean age of 30 randomly selected students (\(\bar{X}\)) is greater than 26.

First, we need to calculate the standard deviation of the sampling distribution, which is σ/√n:

σ/√n = 5.2/√30 ≈ 0.9487

Now, we can standardize the value of 26 using the sampling distribution to find the corresponding z-score:

z = (26 - μ) / (σ/√n)

  = (26 - 24) / 0.9487

  ≈ 2.1082

To find the probability of having a mean age greater than 26, we need to calculate the area under the standard normal curve to the right of the z-score of 2.1082. This can be done using a standard normal distribution table or a calculator.

Using a standard normal distribution table, the probability corresponding to a z-score of 2.1082 is approximately 0.0179.

Therefore, the probability that 30 randomly selected students had a mean age at graduation greater than 26 is approximately 0.0179, or 1.79%.

Learn more about Z-score here

https://brainly.com/question/31871890

#SPJ4

Answer:$68.40

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

Answer:

Slope = -1

Step-by-step explanation:

\((3, -5 ) = (x_1,y_1) \\ (-7,5)=(x_2,y_2)\)

\(Slope = \frac{y_2-y_1}{x_2-x_1} \)

Substitute values into the given equation

\(slope \: = \frac{5 - ( - 5)}{ - 7 - 3} \\ \\ slope \: = \frac{5 + 5}{ - 7 - 3} \\ \\ \)

\(slope \: = \frac{10}{ - 10} \\ slope \: = - 1\)

No, AA Criterion should not be called the AAA Criterion, because we need only two angles to be equal to prove the similarity.

According to the AA triangle similarity criterion, two triangles are considered similar if their three angles are identical to one another. Equi-angular triangles are comparable in a nutshell.

Since just two pairs of angles must be equal in order for the third pair to be automatically equal thanks to the angle sum property of triangles, the proper term for this criterion would then be the AAA(Angle-Angle-Angle) criterion. However, we refer to it as the AA criterion instead.

Hence, no, because we need only two angles to be equal to prove the similarity.

Learn more about similar triangles here:

https://brainly.com/question/29731302

#SPJ1

Answer: 4 students

To find out how many students are wearing red t-shirts, we need to calculate the fraction of the class that is wearing red t-shirts. The fraction is given as 2/15, meaning 2 out of every 15 students are wearing red t-shirts.

We then need to multiply the fraction 2/15 by the total number of students in the class, which is 30.

2/15 of 30 can be calculated as:

(2/15) x 30 = (2 x 30) / 15 = 60/15 = 4 students

Answer:

\(\huge\boxed{\sf 4\ students}\)

Step-by-step explanation:

Total students = 30

= 2/15 of total

Key: "of" means "to multiply"

= 2/15 × 30

= 2 × 2

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

The sequence \(an= ln (\frac{n+6}{n})\) converges to 0

To determine whether the sequence \(an=ln\frac{n+6}{6}\) converges and find the limit, we can use L'Hopital's Rule. The terms in this question are converges, diverges, and limit.

First, let's consider the limit as n approaches infinity: lim(n→∞) \((ln\frac{n+6}{6} )\).

1. Rewrite the limit as a fraction: \(lim(n→∞) (ln\frac{n+6}{6} )\)
2. Check if it's an indeterminate form (0/0 or ∞/∞). As n→∞, ln(n+6)→∞ and n→∞, so it's ∞/∞
3. Apply L'Hopital's Rule: differentiate the numerator and denominator with respect to n
\(= \frac{d}{dn} (ln(n+6)) = \frac{1}{n+6}\)
 \(\frac{d(n)}{dn} = 1\)
4. Rewrite the limit with the new derivatives: \(lim(n→∞) \frac{\frac{1}{n+6} }{1}\)
5. Evaluate the limit: as n→∞, \(\frac{1}{n+6} → 0\)

The sequence \(an= ln\frac{n+6}{6}\) converges to 0 (option c).

To know more about "L'Hopital's Rule" refer here:

https://brainly.com/question/24116045#

#SPJ11

Answer:

B 10.8 or

A 9.2 depending on what side of the triangle is "x".

Step-by-step explanation:

we cannot see the triangle and which side is which. you forgot to show us the picture (or describe it in more detail).

but I assume that "x" would be the Hypotenuse (the baseline of the right triangle, the side opposite of the 90 degree angle).

then by using Pythagoras

c² = a² + b²

=>

x² = 10² + 4² = 116

x = sqrt(116) = 10.8

but if x is any of the other sides (and not the Hypotenuse), then you need to adapt the calculation.

for example, if the Hypotenuse is the side with 10, then Pythagoras' formula would look like this

10² = x² + 4²

x² = 10² - 4² = 84

x = sqrt(84) = 9.2 (and answer A would be correct).

or if the Hypotenuse is the side with 4, then

4² = x² + 10²

x² = 4² - 10² = -84

x = sqrt(-84)

and that did not make any sense for real distances. so, this configuration is actually impossible for a right triangle.

Answer:

Step-by-step explanation:

<A and <B are corresponding angles

< A = < B

plugging the values

\(7x + 24 = 3x + 92\)

Move variable to L.H.S and change its sign

\(7x - 3x + 24 = 92\)

Move constant to R.H.S and change its sign

\(7x - 3x = 92 - 24\)

Calculate

\(4x = 68\)

Divide both sides of the equation by 4

\( \frac{4x}{4} = \frac{68}{4} \)

Calculate

\(x = 17\)

Replacing value

<A = \(7x + 24\)

\( = 7 \times 17 + 24\)

\( = 119 + 24\)

\( = 143\)

hope this helps...

We have a cube that has a side length of a = 1 cm.

We can calculate the volume of the cube as:

Answer: the volume of a cube with side length of 1 cm is 1 cm³.

Answer:

p= -2

Step-by-step explanation:

Let's solve your equation step-by-step.

24p+12−18p=10+2p−6

Step 1: Simplify both sides of the equation.

24p+12−18p=10+2p−6

24p+12+−18p=10+2p+−6

(24p+−18p)+(12)=(2p)+(10+−6)(Combine Like Terms)

6p+12=2p+4

6p+12=2p+4

Step 2: Subtract 2p from both sides.

6p+12−2p=2p+4−2p

4p+12=4

Step 3: Subtract 12 from both sides.

4p+12−12=4−12

4p=−8

Step 4: Divide both sides by 4.

4p

4

=

−8

4

p=−2

Answer:

p=−2

Answer:

P=-2

Step-by-step explanation:

Group the like terms.

All variables at one side and non variables at the other side

24p-18p-2p=10-6-12

4p=10-18

4p=-8

P=-2

The value of x as an int variable is 0

An int(integer) variable is a variable containing only whole numbers.

Given the expression;

x = - 3 + 4 % 6/ 5

Let's make into proper fraction, we have

x = - 3 + {}4/ 100 × 6/ 5

Multiply through

x = -3 + 6/ 5/ 4/ 100

x = -3 + {6/ 5 ÷ 0. 4}

x = -3 + {3}

expand the bracket

x = -3 + 3

Add like terms

x = 0

Thus, the value of x as an int variable is 0

Learn more about integers here:

https://brainly.com/question/17695139

#SPJ1

Complete question;

Assume that x is an int variable. what value is assigned to x after the following assignment statement is executed? x = -3 + 4 % 6/ 5;

Answer:

\(V=\pi r^2h=\pi *6^2*19\) ≈ \(2148.8\)

Let me know if you found this helpful! It means a lot!

Answer:

B. EF

Step-by-step explanation:

The triangle above is a right triangle, these consist of 2 legs and a hypotenuse. The hypotenuse is always the longest side so EF is the answer.

Answer:

x = 2

Step-by-step explanation:

3x - 5 = 1

Adding 5 to both sides gives us:

3x - 5 + 5 = 1 + 5

3x = 6

Dividing the equation by 3 gives us:

3x / 3 = 6 / 3

x = 2

Answer:

x = 2 Hfizfifsits96eotst9s

Answer:

figure

Step-by-step explanation:

it out urself

thanks

Answer:

x=121°

Step-by-step explanation:

the sum of angles in a triangle always equal 180°

that means that 22°+37°+x°=180°

so we solve the equation by isolating the variable

add 22 and 37 together

59°+x°=180°

subtract 59 from both sides

x=121°

that means that x is 121 degrees

hope this helps!