Jim bought a pair of shoes for $50 and laces for $1. If the sales tax is 7%, how much tax must he pay?
(a) $3.57
(c) $0.36
(b) $350
(d) $35.70​

The measures of the cylinder that has a diameter of 4 cm and height of 14 cm are:

i. circumference of the base = 6.29 cm.

ii. area of the base = 12.57 cm²

iii. volume = 176 cm²

The volume of a cylinder is calculated using the formula given as, volume (V) = πr²h, where:

Given the following:

i. The circumference of the base of the cylinder = πr = (22/7) * 2 = 44/7 = 6.29 cm.

ii. The area of the base of the cylinder = πr² = 22/7 * 2² = 88/7 = 12.57 cm²

iii. Volume of the cylinder = πr²h = 22/7 * 2² * 14 = 176 cm²

Learn more about the volume of cylinder on:

https://brainly.com/question/9554871

#SPJ1

Answer:

37

Step-by-step explanation:

x=-4

=2(5-(-4)2+1

=2(5+4)2+1

=2(9)2+1

=18(2)+1

=36+1

=37

The trigonometric ratio include the following:

In order to determine each of the trigonometric ratios, we would apply each of the trigonometric ratios because the given side lengths represent the adjacent side, opposite side and hypotenuse of a right-angled triangle.

cos(θ) = Adj/Hyp, sin(θ) = Opp/Hyp, tan(θ) = Opp/Adj

Where:

sin(θ) = Opp/Hyp

sin B = b/c

sin(θ) = Opp/Hyp

sin A = a/c

tan(θ) = Opp/Adj

tan A = a/b

cos(θ) = Adj/Hyp

cos B = a/c

cos(θ) = Adj/Hyp

cos A = b/c

Read more on right-angled triangle here: brainly.com/question/2223099

#SPJ1

Complete Question:

Use the right triangle to determine the each of the trigonometric ratio.

Answer:

375

Step-by-step explanation:

Cara's first error was not 7 - 13, leading to an incorrect result of -32.

Cara's first error was that she did not evaluate (Negative 4) squared.

The expression in question is not provided, so let's assume it is "6 - 2 × (-4)² + 7 - 13".

According to the order of operations (PEMDAS/BODMAS), we evaluate operations inside parentheses first, then exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

To evaluate the expression correctly, we follow the order of operations:

Evaluate the exponent (-4)².

Since (-4) squared is positive, (-4)² = 16.

Multiply 2 and 16.

2 × 16 = 32.

Evaluate the addition and subtraction from left to right.

6 - 32 + 7 - 13.

At this point, we see that Cara did not evaluate 7 - 13.

Therefore, her first error was not evaluating the subtraction correctly.

Continuing the evaluation:

6 - 32 + 7 - 13 = -32.

So, Cara's first error was not evaluating 7 - 13, leading to an incorrect result of -32.

It's important to carefully follow the order of operations to ensure accurate evaluations of mathematical expressions.

For similar question on leading.

https://brainly.com/question/27968241

#SPJ8

The equivalent expression for five eighths raised to the negative first power times forty-two hundredths raised to the second power is option B

(5/8)^-1 × (0.42)^2

= {1 ÷ (5/8)¹} × 0.42²

= {1 × (8/5)¹} × 0.42²

= (8/5)¹ × 0.42²

Therefore, the equivalent expression is eight fifths raised to the first power times the quantity one over forty-two hundredths raised to the second power

Learn more about exponential:

https://brainly.com/question/27161222

#SPJ1

Answer:

(1.6) (0.42)^2 C

Step-by-step explanation:

I had originally put B, but my teacher explained and said its C.

the first part of b is correct where it says 8/5, bc you need to flip it in order to not have a negative exponent (you cant have a negative exponent as an answer) but 0.42 is correct and iit does not need to be fliped, since there is no (8/5)(0.42)^2 option, you need to make the 8/5 into a decimal, it becomes 1.6 and so the answer is C

Answer: B) -2/3

Step-by-step explanation:

First turn this equation into slope-intercept form(y = mx + b), where m is the slope.

2x+3y=4

3y=-2x+4

y=-2/3x+4/3

Thus, the slope is -2/3

Hope it helps <3

Answer:

Step-by-step explanation:

\(2x + 3y = 4?\\\mathrm{Slope}\:\mathbf{m}\:\mathrm{of\:a\:line\:of\:the\:form}\:\mathbf{Ax+By=C}\:\mathrm{equals}\:\mathbf{-\frac{A}{B}}\\\mathbf{A}=2,\:\mathbf{B}=3\\m=-\frac{2}{3}\)

Answer:

The unit rate of change is of \(\frac{3}{4}\)

Step-by-step explanation:

We are given a set of points (x,y).

To find the unit rate of change, we take two points, and divide the change in y by the change in x.

Points (4,9) and (8,12)

Change in y: 12 - 9 = 3

Change in x: 8 - 4 = 4

Unit rate of change: \(\frac{3}{4}\)

According to the information we can infer that the period of the graph is 8.

To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.

In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.

Learn more about period in: https://brainly.com/question/23532583
#SPJ1

Answer:

noob

Step-by-step explanation:

lol imagine not knowing, u noob

Answer:

1/10

Step-by-step explanation:

the friends eat 1/10 of the whole bar or 1/5 of half a bar

Answer:

Negative Correlation

The variable x - value increases as y- value decreases is called negative correlation.

Step-by-step explanation:

Explanation:-

Negative correlation:-    

The negative correlation is a relation between two variables such that they are part of a function in which depends and independent variables move in different directions in terms of value.

Positive correlation

The variable x - value increases as y- value increases is called positive correlation.

Negative Correlation

The variable x - value increases as y- value decreases is called negative correlation.

No correlation

There is no pattern  between two variables

there is no connect between two variables is called No - correlation

We are asked to correct the following statements:

A. "The hypotenuse is the longest side of the right triangle" The statement is true.

B. "The Pythagorean theorem applies to all triangles". The statement is false. The Pythagorean theorem applies to RIGHT triangles.

C. "The hypotenuse is always adjacent to the 90° angle". The statement is false. The hypotenuse is opposite to the 90° angle.

D. "The Pythagorean theorem states that 2a + 2b - 2c". The statement is false. The Pythagorean theorem states that:

E. "The logs, a and b, will always be adjacent to the 90° angle". The statement is true, since a and b represent the adjacent sides of the 90 degrees angle.

F.

Answer:

1. The wholesale cost of the bike is $93.75.

2. Andre will pay $100 before tax.

The center of the hanger represents an equal sign, since both sides of the hanger are equal.

Given different coloured triangles and shapes, we can assign a variable to each of them.

Let one green triangle be equal to \(a\).

Let one blue square be equal to \(b\)

Let one red circle be equal to \(c\).

Let one yellow pentagon be equal to \(d\).

On the left side of the hanger/equation, there are 3 green triangles. This means that one of our terms in our equation will be \(3a\).

Under the triangles on the left side is 1 blue square. This means that the next term could be \(1b\), or just \(b\).

Next is 2 red circles ⇒ \(2c\)

And finally are 3 yellow pentagons ⇒ \(3d\)

To sum up the left side as an expression, we can write all the terms we have just written as a sum:

\(3a+b+2c+3d\)

Now, after doing the same procedure for the right side of the hanger, we get:

\(2a+3b+c+2d\)

For now, we only have two expressions representing the two sides of the hanger:

Left: \(3a+b+2c+3d\)

Right: \(2a+3b+c+2d\)

To turn these into an equation, we must have an equal sign.

Remember that both sides of the hanger are equal. Knowing this, we can state the following:

Left side = Right side

\(3a+b+2c+3d = 2a+3b+c+2d\)

\(3a+b+2c+3d = 2a+3b+c+2d\)

In general, if the range of a function is y≥−1, its inverse has a domain of y≥−1. So, the range of the inverse of the cubic root function is y≥−1.

The range of a cubic root function becomes the domain of a cube function and vice versa since a cubic root function is an inverse function of a cube function. Therefore, the cube function's range is x3 if the cubic root function's domain is x3.

A function's inverse typically has a domain of y1 if its range is y1. Therefore, y1 is the domain of the inverse of the cubic root function.

Describe a function.

A function is a mathematical relationship between a domain—a set of inputs—and a range—a set of outputs. Each input in the domain is given a distinct output, known as the function value, by a function. An equation or graph can be used to depict the function value.

A function is typically represented symbolically by an equation that describes the relationship between the inputs and outputs and a letter, like f or g, as well as the letter. For instance, the equation of a function that accepts a value of x as input and produces its square is f(x) = x2.

Learn more about Functions here

https://brainly.com/question/17043948

#SPJ1

The coordinates for the point J are (-5, 6).

The radius 12 represents the center of the circle from each band member to the edge of the circle.

The domain of the circle is -17 ≤ x ≤ 7.

The range of the circle is -6 ≤ y ≤ 18.

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

From the information provided above, we have the following equation of a circle:

x² + y² + 10x - 12y - 83 = 0

x² + 10x + y² - 12y = 83

x² + 10x + (10/2)² + y² - 12y + (-12/2)² = 83 + (10/2)² + (-12/2)²

x² + 10x + 25 + y² - 12y + 36 = 83 + 25 + 36

(x + 5)² + (y - 6)² = 144

(x + 5)² + (y - 6)² = 12²

Therefore, the center (h, k) is (-5, 6) and the radius is equal to 12 units.

By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-17, 7] or -17 ≤ x ≤ 7.

Range = [-6, 18] or -6 ≤ y ≤ 18.

Read more on equation of a circle here: brainly.com/question/15626679

#SPJ1

Answer:

y = 10x + 2

Step-by-step explanation:

Using probability concepts, it is found that P(S and D) = 0.1275.

-----------------------

\(P(S \cap D) = 2 \times \frac{13}{52} \times \frac{13}{51} = \frac{2\times 13 \times 13}{52 \times 51} = 0.1275\)

Thus, P(S and D) = 0.1275.

A similar problem is given at https://brainly.com/question/12873219

Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Step-by-step explanation:

a probability is always the ratio of

desired cases / totally possible cases

the "group" is the totally possible cases = 119.

we pick 1 student.

female AND off-campus.

there are only 20 students that satisfy that criteria.

the probabilty for this event is then

20/119 = 0.168067227... ≈ 0.168

male AND on-campus.

there are 34 students that satisfy that criteria.

the probability for this event is then

34/119 = 0.285714286... ≈ 0.286

off-campus OR male.

there are 20+11 = 31 students off-campus.

and there are 34+11 = 45 male students.

the overlapping number of 11 students we need to count only once.

so, there are 20+11+34 = 65 students off-campus or male (incl. the on-campus males, as this is an or-criteria).

the probabilty for this event is then

65/119 = 0.546218487... ≈ 0.546

on-campus OR female.

there are 54+34 = 88 students on-campus.

and there are 54+20 = 74 female students.

the overlapping number of 54 students we need to count only once.

so, there are 54+34+20 = 108 students on-campus or female.

the probabilty for this event is then

108/119 = 0.907563025... ≈ 0.908

Answer:

the standard deviation of the critical path is 8

Step-by-step explanation:

The computation of the standard deviation of the critical path is shown below:

As we know that

Variance = Standard deviation^2

Now the variance of the critical path is

= Variance 1 + variance 2 + variance 3 + variance 4

= 4^2 + 4^2 + 4^2 + 4^2

= 64

Now the standard deviation would be

= √64

= 8

hence, the standard deviation of the critical path is 8

The amount owed in 5 years with monthly compounding, considering a $19,000 personal loan with a 15% interest rate, will be $34,558.52.

1. Convert the interest rate to a decimal: 15% = 0.15.

2. Determine the number of compounding periods: Since the loan compounds monthly, multiply the number of years by 12. In this case, 5 years * 12 months/year = 60 months.

3. Calculate the monthly interest rate: Divide the annual interest rate by 12. In this case, 0.15 / 12 = 0.0125.

4. Use the compound interest formula to calculate the future value:

  Future Value = Principal * (1 + Monthly Interest Rate)^(Number of Compounding Periods)

  Future Value = $19,000 * (1 + 0.0\(125)^{(60\))

5. Evaluate the expression inside the parentheses: (1 + 0.0\(125)^{(60\)) ≈ 1.954503.

6. Multiply the principal by the evaluated expression: $19,000 * 1.954503 = $37,133.57 (unrounded).

7. Round the final answer to the nearest cent: $34,558.52.

Therefore, in 5 years with monthly compounding, the amount owed on the $19,000 personal loan will be approximately $34,558.52.

For more such questions on interest rate, click on:

https://brainly.com/question/25720319

#SPJ8

The right angles can be seen at many places in a classroom. The corners of the class room form right angle. The edge of a corner and the base of the wall forms a 90 degree angle.

The blackboard in the class is rectangular shaped. The four corners of the blackboard forms right angles.

The deks and benches in the classroom also have right angles. The length side and the side the breadth side of the desks and benches are inclined at right angles to each other.

The duster, which is in the shape of a rectangle also have right angle. The eraser, which is in the shape of a rectangular prism, forms right angles. The adjacent edges of the eraser are at right angles to each other. The right angles can be seen in the doors and windows in the classroom.

Answer:

1. -2y

2.13x

3. 8d-3c

4. 8r+(-6s)

Step-by-step explanation:

The final velocity of the parameters is 13.5m/s

In this question, the given parameters are represented as

Formula: v = u + at

Initial velocity = 3m/s

Acceleration = 1.5m/s²

Time = 7 seconds

When these parameters are represented using their required notation, we have the following representations

u = 3m/s

a = 1.5m/s²

t = 7 s

Next, we substitute the above parameters in the above equation

So, we have the following representation

v = 3 + 1.5 * 7

Evaluate the products

This gives

v = 3 + 10.5

Evaluate the sum

So, we have the following representation

v = 13.5

The notation v represents the final velocity

Hence, the final velocity is 13.5m/s

Read more about velocity at

https://brainly.com/question/14335655

#SPJ1

Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

Answer:

  a. -4/3

  b. -3(6x^2 +5)/(4(2x^3 +5x +4)^(7/4))

Step-by-step explanation:

The function can be evaluated at x = -1/2:

  (4(-1/2) -2)/(8(-1/2)^2 +1) = (-2 -2)/(8/4 +1) = -4/3

The limit at x = -1/2 is -4/3.

__

The power rule and chain rule will get you there:

  d(u^n) = nu^(n-1)·du

__

  g(x) = (2x^3 +5x +4)^(-3/4)

  g'(x) = (-3/4)(2x^3 +5x +4)^(-7/4)(6x^2 +5)

or ...

  g'(x) = -3(6x^2 +5)/(4(2x^3 +5x +4)^(7/4))