Jesse is restoring his grandfathers 1945 sedan. He found 2 kinds of vintage hubcaps, 2 fabrics for the seats, and 4 colors of paint. Find the total number of possible outcomes

Answer:

I think the answers is B

Step-by-step explanation:

But im so sorry if its not right...

Have a nice day

The value of the function f(6 + h) − f(6) is 6(6 + h) -(6 + h)^2

The equation of the function is given as:

f(x) = 6x -x^2

The function is given as:

f(6 + h) − f(6)

This means that x = 6 + h and x = 6

f(6 + h) = 6(6 + h) -(6 + h)^2

f(6) = 6(6) -(6)^2

So, we have:

f(6 + h) − f(6) = 6(6 + h) -(6 + h)^2 - 6(6) + (6)^2

Evaluate the like terms

f(6 + h) − f(6) = 6(6 + h) -(6 + h)^2

Hence, the value of the composite function f(6 + h) − f(6) is 6(6 + h) -(6 + h)^2

Read more about functions at:

https://brainly.com/question/10687170

#SPJ1

Complete question

Consider the following function definition, and calculate the composite function

f(x) = 6x − x2, f(6 + h) − f(6) h , h ≠ 0

The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

Learn more about the tangent line:

https://brainly.com/question/30162650

#SPJ1

Answer:  40 ounces or 0.3125 of a gallon

i didnt quite understand what you were asking but here is it broken down. :)

The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

for such more question on measure of angle

https://brainly.com/question/25716982

#SPJ8

According to the information, it can be inferred that the total matches that would be played in total are 160,461.

A combination is a term to refer to an arrangement of elements in no particular order. For example:

When we put together a sandwich with salami, ham and turkey. The order in which the deli meats are placed does not matter as long as they are in a sandwich. There is only one way to stack the meat on the sandwich when the order doesn't matter.

To calculate how many matches will be played in total we have to perform the following procedure:

\(= ^{567} C_{2} \\= \frac{(567)!}{2!565!} \\= \frac{567 * 566 * (565)!}{2 * (565)!} \\= 567 * 283\\= 160,461\\\\\)

As we can see after the combination, the number of games that would be played in this tournament would be 160,461.

Learn more about combination in: https://brainly.com/question/20211959

#SPJ1

Therefore, the shaded region below or on the line 2f + 20s = 4,000 represents the possible combinations of fertilizer and seeds the farmer can buy.

In mathematics, an inequality is a statement that two quantities or expressions are not equal. Inequalities are often used to compare two values, expressing which one is greater than, less than, or not equal to the other. Inequalities can be represented using symbols such as "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), and "≠" (not equal to). For example, "x > 5" is an inequality that states that the value of x is greater than 5. Similarly, "y ≤ 10" is an inequality that states that the value of y is less than or equal to 10. Inequalities are commonly used in algebra, calculus, and other branches of mathematics, as well as in fields such as economics, physics, and engineering.

Here,

The inequality 2f + 20s ≤ 4,000 represents a linear inequality in two variables (f and s), which means it defines a region in the coordinate plane. To graph this region, we can first graph the line 2f + 20s = 4,000 by finding its x- and y-intercepts:

Setting f = 0, we get 20s = 4,000, or s = 200. So the line passes through the point (0, 200).

Setting s = 0, we get 2f = 4,000, or f = 2,000. So the line also passes through the point (2,000, 0).

Note that this line divides the plane into two regions: one where 2f + 20s < 4,000 (below the line), and one where 2f + 20s > 4,000 (above the line).

However, the farmer can spend no more than $4,000, which means they can only buy the combinations of fertilizer and seeds that satisfy the inequality 2f + 20s ≤ 4,000. This region is the one below or on the line, and we can shade it to indicate the possible combinations of fertilizer and seeds:

To know more about inequality,

https://brainly.com/question/12590808

#SPJ1

Complete question:

A farmer can spend no more than $4,000 on fertilizer and seeds. The fertilizer costs $2 per pound and seeds cost $20 per pound. To summarize the situation, the farmer writes the inequality: 2f + 20s ≤ 4,000, where f is the number of pounds of fertilizer and s is the number of pounds of seeds. Which graph's shaded region shows the possible combinations of fertilizer and seeds the farmer can buy?

Answer:

D. y = −x2 − 4x + 1

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  ( − 2 ,  5 )

Focus:  ( − 2 ,  19 /4 )

Axis of Symmetry:  x= − 2

Directrix:  y = 21 /4

x                     y

− 4                   1

− 3                   4

− 2                   5

− 1                    4

0                     1

Answer:

The answer is Ahope this helps

Answer:

x-5.

Step-by-step explanation:

If you did it the other way that would be like saying 5 minus your grade. That would be in the negatives unless you got a 5 or below on your grade. :)

Answer:

x-5

Step-by-step explanation:

The other way makes no sense saying 5 minus your grade I hope this helps and it's 5 less than your grade so your grade minus 5 ewuals your answer

Answer:

r=ln3/10

Step-by-step explanation:

The daily rate is given by 3 to the power x divided by 10.

We have given that a sample of bacteria is growing at a continuously compounding rate.

The sample triples in 10 days.

The daily rate of the bacteria growth is. exponential growth is in the form

y = abˣ

where y, x are variables.

a is the initial value

Sample triples, in 10 days. therefore the value of b=3.

Therefore we get,

\(y=3a^{\frac{x}{10}\)

\(y=a3^{\frac{x}{10}\)

Therefore the daily rate is given by \(3^{\frac{x}{10}\).

To learn more about the daily rates visit:

https://brainly.com/question/25793394

Mary has left with a 1 kilometer  i.e. \(\frac{2}{7}\) of the journey is incomplete

Given that Mary is going for a 3.5 km walk. So far she’s walked 1.55 km through the park, 0.6 km across the bridge, and 0.35 km up the hill and asked to find the  fraction of the walk she has left

Total journey distance = 3.5 kilometers

Distance walked by mary on the bridge=0.6 kilometers

Distance walked by mary through the park=1.55 kilometers

Distance walked by mary up the hill=0.35 kilometers

Total distance traveled by mary=(0.6+1.55+0.35)kilometers

Total distance traveled by mary=2.5 kilometers

The distance left=3.5 kilometers-2.5 kilometers

The distance left=1 kilometer

1 kilometer is  \(\frac{2}{7}\) of the journey by assuming 3.5 kilometer will complete the jouney

Therefore, Mary has left with a 1 kilometer  i.e. \(\frac{2}{7}\) of the journey is incomplete

Learn  more about kilometer here:

https://brainly.com/question/13987481

#SPJ9

Answer:

5

Step-by-step explanation:

if you divide by 5 on both sides then you would just be left with 2^x+4=3 and it would save you the trouble of having to simplify later on. hope this makes sense

Answer:

182ft^2

pls give brainlyist

Step-by-step explanation:

area of a parallelogram is base  * hight

13ft* 14ft

182ft^2

Using a calculator, inserting the values of x and y, the correlation coefficient for the given data-set is of -0.9422.

Using a calculator, the correlation coefficient is found inserting the ordered pairs (x,y) in the calculator.

In this problem, we have that:

Hence, using a calculator, the correlation coefficient is of -0.9422.

More can be learned about correlation coefficients at https://brainly.com/question/25815006

#SPJ1

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Learn more about algebraic expressions from:https://brainly.com/question/395066

#SPJ1

Answer:

I was pretty sure it was C.

Step-by-step explanation:

Sorry if I'm wrong.

The number of chickens on the farm will be 180.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

On my chicken farm where I have 24 pens, the pens were a bit crowded.

So I built 6 more pens, then

The total number of pens in the farm = 24 + 6 = 30

6 chickens in each pen

So, 6 x 30 = 180 chickens.

Hence, The number of chickens on the farm will be 180.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Answer:

Exact Form:

17/15

Decimal Form:

1.1333333.....

Mixed Number Form:

1 2/15

Answer:

17 / 15

Step-by-step explanation:

LCM of 3 and 5 is 15.

4 / 5

= ( 4 / 5 ) x ( 3 / 3 )

= 12 / 15

1 / 3

= ( 1 / 3 ) x ( 5 / 5 )

= 5 / 15

( 4 / 5 ) + ( 1 / 3 )

= ( 12 / 15 ) + ( 5 / 15 )

= ( 12 + 5 ) / 15

= 17 / 15

Answer:

\(y=-\frac{4}{3}x+\frac{14}{3}\)

Step-by-step explanation:

Slope (m) formula: \(\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{6-(-2)}{-1-5} \\\\m=\frac{6+2}{-1-5} \\\\m=\frac{8}{-6} \\\\m=-\frac{4}{3}\)

\(y=mx+b\)

\(y=-\frac{4}{3} x+b\)

(-1, 6)

\(y=-\frac{4}{3} x+b\\\\6=-\frac{4}{3}(-1)+b\\\\6=\frac{4}{3}+b\\\\3(6=\frac{4}{3}+b)\\\\18=4+3b\\\\-4 -4\\\\14=3b\\\\/3 /3\\\\14/3=b\)

\(y=-\frac{4}{3}x+\frac{14}{3}\)

Hope this helps!

Answer:

0

257/20

-1/4

Step-by-step explanation:

these are the answers

Answer:

\( \sqrt{2} \: \: \: \: \: \: \frac{ \pi}{2} \: \: \: \: are \: \: \: \: the \: \: \: \: answers\)

Answer:

Tan(theta) = 20/-21

Step-by-step explanation:

Tan(theta) = Sin(theta)/Cos(theta)

\(\frac{\frac{20}{29} }{\frac{-21}{29} }\)

Invert the denominator and multiply

\(\frac{20}{29}*\frac{29}{-21}\\\frac{20}{-21}\)

Tan(theta) = 20/-21

Answer:

20/-21

Step-by-step explanation:

Answer:

5/12 would be the answer

Answer:

\({ \bf{f(x) = \frac{1}{2} {x}^{2} }} \\ \\ { \tt{f( - 2) = \frac{1}{2} {( - 2)}^{2} }} \\ = 2\)

This data collection may be characterized as numerical and univariate.

A numerical univariate data is discrete if the totality of all possible values is finite or countably infinite. Usually, counting is done using discrete univariate data (such as the number of books read by a person). A numerical univariate data is continuous if the range of all possible values is a set of integers.

Different categories of data that can be categorized are represented by categorical variables. Examples of categorical variables are race, sex, age group, and educational attainment.

Categorical data are data kinds that can be stored and identified depending on the names or labels given to them.

Data that is expressed as numbers rather than in any linguistic or descriptive form is referred to as numerical data. As it validates data before classification, it is also known as qualitative data.

Over here we have the data for the average time spent reading per day for students in an 8th grade class.

Learn more about Numerical and univariate here:

brainly.com/question/29780905

#SPJ1

The Question attached here is Complete. The Complete Question is

The chart shows the average time spent reading per day for students in an 8th grade class.

The line plot is titled minutes of reading per day, and the horizontal axis is labeled minutes of reading per day. There are 5 dots at 30, 1 dot at 33, 5 dots at 35, 1 dot at 36, 1 dot at 37, 3 dots at 40, 1 dot at 44, one dot at 46, 1 dot at 47, and 1 dot at 50.

Which of the following describes this data set?

Categorical and bivariate

Categorical and univariate

Numerical and bivariate

Numerical and univariate

Answer: A

Step-by-step explanation:

I crossed out the answers as I went and I got the answer A.

Answer:

4 cm by 5 cm (4 x 5)

Step-by-step explanation:

The area of a rectangle with length \(l\) and width \(w\) is given by \(A=lw\). Since the length of the rectangle is 7 less than 3 times its width, we can write the length as \(3w-7\). Therefore, substitute \(l=3w-7\) into \(A=lw\):

\(A=lw,\\20=(3w-7)w\)

Distribute:

\(20=3w^2-7w\)

Subtract 20 from both sides:

\(3w^2-7w-20=0\)

Factor:

\((w-4)(3w+5)=0,\\\begin{cases}w-4=0, w=\boxed{4},\\3w+5=0, 3w=-5, w=\boxed{-\frac{5}{3}}\end{cases}\)

Since \(w=-\frac{5}{3}\) is extraneous (our dimensions cannot be negative), our answer is \(w=4\). Thus, the length must be \(20=4l, l=\frac{20}{4}=\boxed{5}\) and the dimension of the rectangle are 4 cm by 5 cm (4 x 5).

Yes, Matrix B is invertible.

And, The eigenvalues of B−1 are;

⇒ (5 ± 7.68) / 14 - 1

An Invertible Matrix is a square matrix defined as invertible if the product of the matrix and its inverse is the identity matrix.

Given that;

B be a 2 ×2 matrix such that;

⇒ 7B² −5B + 3I = 0

Now,

Since, B be a 2 ×2 matrix.

And, The expression is,

⇒ 7B² −5B + 3I = 0

⇒ B² −5/7B + 3I/7 = 0

Multiply by B⁻¹, we get;

⇒ B - 5/7 + 3B⁻¹ = 0

Solve for B⁻¹;

⇒ 3B⁻¹ = - B + 5/7

⇒ B⁻¹ = - B/3 + 5/21

Thus, The matrix B is invertible.

And, The eigen value of B are;

⇒ 7B² −5B + 3I = 0

⇒ 7B² −5B + 3I = 0

⇒ B = - (-5) ± √(-5)² - 4×7×3 / 2×7

⇒ B = 5 ± √25 - 84/14

⇒ B = 5 ± √- 59 / 14

⇒ B = 5 ± 7.68 i / 14

⇒ B - 1 = (5 ± 7.68) / 14 - 1

Thus, Matrix B is invertible.

The eigenvalues of B−1 are = (5 ± 7.68) / 14 - 1

Learn more about the quadratic equation visit:

https://brainly.com/question/1214333

#SPJ1

Answer:

Since there are 120 chairs for 2 classrooms then you add 120 with 120 or multiply 120 with 2. for for classrooms. you will get 240 for 4 classrooms. Then for 6 classrooms, you add 240 with 120 for 6 classrooms. therefore you will get 360 chairs in 6 rooms.

120 chairs = 2 classrooms

240 chairs= 4 classrooms

360 chairs = 6 classrooms.