1 fith of the sum of the 3 times a number and 9

Answer:

Step-by-step explanation:

The simulation model in excel and calculation of the answers is given below along with formulas:

Formula used for simulation of tire life in Excel range B2:B502 =NORMINV(RAND(),36500,5000)

Note: Once this formula is entered in all the cells in range B2:B502, copy these cells and paste as values, so that Goal seek function can work for part C

The length of side x is approximately 24.87, rounded to the nearest hundredth.

how can we find side of the triangle?

To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:

sin(11°) = opposite side/hypotenuse

Rearranging this equation, we get:

opposite side = sin(11°) * hypotenuse

We know that the hypotenuse has a length of 130, so we can substitute that in:

opposite = sin(11°) * 130

Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:

opposite = 0.1919 * 130

Simplifying this expression, we get:

opposite ≈ 24.87

Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.

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Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

6x+3

Step-by-step explanation:

8x +7 - 2x - 4​

8x-2x+7-4 ( combine like terms)

answer:

6x+3

Reminder:Whenever combining like terms, the sign changes the same

Hope this helps and make sure to thank me!

Answer:

6x + 3

Step-by-step explanation:

8x + 7 -2x - 4

8x +3 -2x

6x+3

Answer:

∠w = 50°

∠y = 130°

Step-by-step explanation:

Angles ∠w and ∠y are supplementary angles, which means their sum is 180.

4x + 6 + 12x - 2 = 180

16x + 4 = 180

16x = 176

x = 11

To find the angle measures replace x with 11

∠w = 4x + 6

∠w = 4*11 + 6

∠w = 50°

Now, ∠y

∠y = 12x - 2

∠y = 12*11 - 2

∠y = 130°

Answer:

\(\sf sec(D)=\sqrt{2}\)

Step-by-step explanation:

First, find the length of the hypotenuse using Pythagoras' Theorem:

\(a^2+b^2=c^2\)

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Subtituting the given values into the formula and solving for c:

\(\implies (4\sqrt{10})^2+(4\sqrt{10})^2=c^2\)

\(\implies 160+160=c^2\)

\(\implies c^2=320\)

\(\implies c=\sqrt{320}\)

\(\implies c=8\sqrt{5}\)

Therefore, the hypotenuse is \(\sf 8\sqrt{5}\)

Secant of an angle in a right triangle:

\(\sf \sec(\theta)=\dfrac{\sf hypotenuse}{\sf adjacent\:side}\)

Given:

Substituting the given values into the formula:

\(\implies \sf \sec(D)=\dfrac{8\sqrt{5}}{4\sqrt{10}}=\sqrt2}\)

Answer:

\( \sf{\Large{\bold{\orange{The \: value \: of \: \sec (D) \: is \: \sqrt{2} }}}}\)

Step-by-step explanation:

\( \textsf{\large{\underline{\green{To find:-}}}}\)

The value of Sec(D)

\( \textsf{\large{\underline{\blue{Given :-}}}}\)

Perpendicular (P) = BC = 4√10

Base (B) = BD = 4√10

\( \textsf{\huge{\underline{\underline{\pink{Solution :-}}}}}\)

First of all we have to find length of DC to get hypotenuse

To find we will use Pythagoras theorem

\( \sf {(hypotenuse)}^{2} = {(perpendicular)}^{2} + {(base)}^{2} \\ \sf {H}^{2} = {P}^{2} + {B}^{2} \)

Now we will put the values of Perpendicular and base

\(\sf {H}^{2} = {(4 \sqrt{10} )}^{2} + {(4 \sqrt{10} )}^{2} \\ \sf {H}^{2} = (16 \times 10) + (16 \times 10) \\ \sf {H}^{2} = 160 + 160 \\ \sf {H}^{2} = 320 \\ \sf H = \sqrt{320} \\ \sf H = 8 \sqrt{5}\)

Hypotenuse (H) = CD = 8√5

Now we will put Sec formula

to find Sec(D)

\( \sf \sec(D) = \frac{hypotenuse}{base} = \frac{H}{B} \\ \implies \frac{8 \sqrt{5} }{4 \sqrt{10} } \\ \implies \frac{2 \sqrt{5} }{ \sqrt{10} } \\ \implies \frac{2 \sqrt{5} }{ \sqrt{2} \sqrt{5} } \\ \implies \frac{2}{ \sqrt{2} } \\ \implies{ \sf {\purple {\sqrt{2} }}}\)

This function represents a downward-opening parabola with a vertical shift of 6 units upward.

The given function is Ƒ(t) = –1/(2t²) + 2t + 6.

This is a quadratic function in terms of t. The general form of a quadratic function is f(t) = at² + bt + c, where a, b, and c are constants.

Comparing the given function Ƒ(t) = –1/(2t²) + 2t + 6 with the general form, we can see that a = -1/2, b = 2, and c = 6.

So, the function Ƒ(t) can be written as:

Ƒ(t) = (-1/2)t² + 2t + 6

This function represents a downward-opening parabola with a vertical shift of 6 units upward.

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Answer:

1/2

Step-by-step explanation:

because I just took the test

Answer:

Step-by-step explanation:

35/100 = 7/20

Step-by-step explanation:

\(thank \: you\)

Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !

Answer:

145 degrees

Step-by-step explanation:

Linear pairs. 180-35=145

Answer:

145 degrees

Step-by-step explanation:

Angle H is next to what I assume is angle G. If you add those two together they will equal 180 degrees because they are supplementary angles. So your equation is

H= 180-35

Which equals 145

The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.

The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).

The constant ratio between consecutive x-values indicates exponential growth or decay.

In this case, the function is growing exponentially because the y-values are increasing at a constant rate.

Based on this information, we can conclude that the function is exponential.

Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.

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There are 2187 combinations to select 7 cookies from a bakery that sells cookies of 3 different flavors (oatmeal, chocolate chip, almond).

When selecting 7 cookies from a bakery that sells 3 different flavors, each cookie selected can be one of the 3 different flavors. This means that for the first cookie, there are 3 choices, for the second cookie, there are also 3 choices, and so on for the 7th cookie. This is known as the combinations formula and it can be represented as 3 x 3 x 3 x ... x 3 (3 being repeated 7 times).

Using the 3⁷ formula, we can calculate that there are 2187 ways to select 7 cookies from a bakery that sells cookies of 3 different flavors. This means that there are 2187 unique combinations of cookies that can be selected, assuming that more than 7 cookies are available for each flavor.

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Your question seems incomplete, but I assume the question was:

"How many ways can you select 7 cookies to buy from a bakery that sells cookies of 3 different flavors (oatmeal, chocolate chip, almond)? We assume that more than 7 cookies are displayed for each flavor. For example, one way is to choose 7 chocolate chip cookies."

Answer:

To find the number of boats that should be produced to incur minimum cost, we need to find the value of x that minimizes the cost function C(x).

We can do this by taking the derivative of the cost function with respect to x, setting it equal to zero, and solving for x.

C(x) = 22000 - 40x + 0.02x^2

C'(x) = -40 + 0.04x

Setting C'(x) = 0, we get:

-40 + 0.04x = 0

0.04x = 40

x = 1000

Therefore, the number of boats that should be produced to incur minimum cost is 1000.

Step-by-step explanation:

Answer:   About the building of his bed

Answer:

See below

Step-by-step explanation:

Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.

Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.

The height of cell phone tower is 135 feet.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

We have A cell phone tower casts a shadow that is 100 feet long.

At the same time, Lia stands near the tower and casts a shadow that is 3 feet 4 inches long.

so, the Height of the tower will be

height of tower/ length of Shadow of tower = height of Lia/ shadow's height

h/ 100 = 4ft 6 inch / 3ft 4 inch

h/ 100 = 4 1/2 / 3 1/3

h/100 = 9/2 x 3/10

h/100 = 27/50

h= 135 feet

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Step-by-step explanation:

\(x {}^{4} - 8x {}^{2} + 16 \\ \\ by \: using \: middle \: term \: split \\ \\ x {}^{4} - 4x {}^{2} - 4x {}^{2} + 16 \\ \\ taking \: out \: common \\ \\ x {}^{2} (x { - 4)} - 4(x {}^{2} - 4) \\ \\ (x {}^{2} - 4)(x {}^{2} - 4)\)

Answer:

area of a deck

A= External area - Internal area

A = length x width

A = ( 44ft x 28ft) - ( 32ft x 16ft)

A = 720ft²

Step-by-step explanation:

x = number of cards

the production costs (PC) per day are

PC(x) = 264 + 1.1x

the sales (S) are

S(x) = 5.1x

the profit (P) per day is sales minus costs

P(x) = S(x) - PC(x) = 5.1x - (264 + 1.1x) =

= 5.1x - 264 - 1.1x = 4x - 264

we need to find the value of x, so that P(x) = 52.

52 = 4x - 264

316 = 4x

x = 316/4 = 79

79 cards must be delivered daily to make a profit of $52.

The equation is graphed in this figure is y - 5 = 3(x - 1).

From the graph:

points are (0, 2) , (1, 5) , (-2, -4) and (-3, -7).

slope between two points (0, 2) and (1, 5) is m = y2 - y1/x2 - x1

= 5 - 2 / 1 - 0

= 3/1

m = 3.

we know that line equation is y - y1 = m(x - x1)

y - 2 = 3(x - 0)

3x - y + 2 = 0.

option 4 is correct because y - 5 = 3(x - 1) ≅ 3x - y + 2 = 0.

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Answer:

The value of x that will make this equation true is 50.

0.5 times 50=25 -8 = 17

0.2 times 50= 10 +7 = 17

Therefore, your answer is 50.

Step-by-step explanation:

Know ur meme ;)

The line of best fit for the set of data in this problem is given as follows:

y = 0.613x + 4.142.

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.

The points for this problem are given as follows:

(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).

Inserting these points into a calculator, the line of best fit is given as follows:

y = 0.613x + 4.142.

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Answer:  B.  10

Explanation: Any number is a factor of itself.

We can rule out choices A, C and D because those values are larger than 10. They are multiples of 10, but not factors of 10.

Answer:

478

Step-by-step explanation:

478

4=400

7=70

8=8

you have to count the zeros

400 = four hundred

70 = seventy

8 = eight

Read the words on each right hand side, and read straight down to get "four hundred seventy eight" which is written as 478.

It might help to line up the terms like you see in the image below

Answer:

B. 3.40

Step-by-step explanation:

To make it simpler, first add 0.03 to 2.97 to get 3.

then add 0.40 to 3 and you get 3.40.

Answer:3.40

Ur welcome

Answer:

x = -(h+g) / f

Step-by-step explanation:

-fx - g = h

-fx = h + g

x = (h + g) / -f

x = -(h+g)/f

The probability of rolling a specific number is 1/6 or approximately 0.1667.

When rolling a fair number cube with faces numbered 1 through 6, each face has an equal chance of landing face-up. This means the probability of rolling any specific number is 1 out of the total number of faces, which is 6. Therefore, the probability of rolling a specific number is 1/6 or approximately 0.1667.

The dot on the number line represents the probability of an event occurring when rolling the number cube. To determine what this event could be, consider the possible outcomes when rolling the cube and compare their probabilities to the dot's position on the number line.

For example, if the dot is located at 1/6 on the number line, this could represent the probability of rolling a single specific number, such as rolling a 3. If the dot is located at 1/2 or 0.5, it could represent the probability of rolling an even number (2, 4, or 6) since there are three even numbers out of the six total faces, making the probability 3/6 or 1/2.

In summary, the dot on the number line represents the probability of an event occurring when rolling a fair number cube. To identify the event, compare the dot's position on the number line with the probabilities of different outcomes resulting from rolling the cube.

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Step-by-step explanation:

B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).

To factor a quadratic expression, you can use the following steps:

1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).

2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.

In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:

(b+7)(b+1)

This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).

Here is a step-by-step explanation of how to factor B^2+8b+7:

1. The coefficient of the middle term is 8.

2. The constant term is 7.

3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.

4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).