39.Session 1The students in Shaun's class planted a small flower garden.The table shows the relationship between the number of rowsand the number of flowers.Number ofRowsNumber ofFlowers28312520832If r is the number of rows and f is the number of flowers, whichequation represents the same relationship as shown in the table?Hor=4f© f = 4r

Answer:

x = 9

Step-by-step explanation:

     √x + 7 - 1  = x

          √x + 6 = x

Isolate √x,

             √x = x - 6

Square both sides,

           (√x)² = (x - 6)²

Use identity (a -b)² = a² - 2ab  + b²

             x   = x² - 2*x*6 + 6²

             x = x² - 12x + 36

x² - 12x + 36 - x = 0

x² - 13x + 36  = 0

We look for two integers which when added give (-13) and when multiplied gives 36.

So, the factors are (-9) and (-4).  

-9 + (-4) = -13  & (-9)*(-4) = 36.

Rewrite the middle term using the factors.

x² - 13x + 36 = x² - 9x - 4x + 36

Take out the common factor 'x' from first and second term & take out the common factor (-4) from third and fourth term.

                   =x(x -9) -4(x - 9)

                   = (x -9)(x- 4)

x - 9 = 0    ; x - 4 = 0

    x = 9    ; x = 4

    But 4 doest not satisfy the equation. So, only 9 is the solution.

Answer:

I dont know if I'm wrong but I think its

Step-by-step explanation:

7×10=70

70×10=700

700×10=7000

7000×10=70000

I MIGHT BE WRONG AND IF I AM IM SORRY

Answer:

Step-by-step explanation:

Answer:

x = 58 degrees

Step-by-step explanation:

Using the SOH CAH TOA trigonometry identity

hypotenuse =99

adjacent = 52

angle of elevation  = x

cos theta = adj/hyp

cos x = 52/99

x = arccos (52/99)

x = arccos(0.5253)

x = 58 degrees ( to the nearest degree)

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Answer:

$500.19 is the answer

Step-by-step explanation:

pls vote branliest

The total cost of 11 printers is $500.19.

Given that,

A retailer needs to purchase 11 printers.

The first printer costs $58, and each additional printer costs 5% less than the price of the previous printer, up to 15 printers.

We have to determine,

What is the total cost of 11 printers?

According to the question,

The first printer costs $58.

Each additional printer costs 5% less than the price of the previous printer, up to 15 printers.

The cost of a second printer is,

= 0.95 × 58 = $55.1

The cost of a third printer is,

= 0.95 × 55.1 = $52.345

The cost of a fourth printer is,

= 0.95 × 52.345 = $49.727

The cost of a fifth printer is,

= 0.95 × 49.727 = $47.241

The cost of a sixth printer is,

= 0.95 × 47.241 = $44.879

The cost of a seventh printer is,

= 0.95 × 44.879 = $42.635

The cost of an eight printer is,

= 0.95 × 42.635 = $40.50

The cost of a nineth printer is,

= 0.95 × 40.50 = $38.478

The cost of tenth printer is,

= 0.95 × 38.478 =  $36.554

The cost of the eleventh printer is,

= 0.95 × 36.554  = $34.726

Therefore,

The total cost of 11 printers is,

= $58 + $55.1 + $52.345 + $49.727 + $47.241 + $44.879 + $42.635 + $40.50 + $38.478 + $36.554 + $34.726 = $500.19.

Hence, The total cost of 11 printers is $500.19.

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The statements that complete the function transformations are left, up, stretch and stretch

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

f(x) = (x + 94)²

Also, we have

f(x) = x²

This implies that f(x) = (x + 94)² is obtained by shifting f(x) = x² left by 94 units

Next, we have

f(x) = x² + 94

This implies that f(x) = x² + 94² is obtained by shifting f(x) = x² up by 94 units

Next, we have

f(x) = 94√x from f(x) = √x

This implies that f(x) = 94√x can be obtained from vertically stretching f(x) = √x by a factor of 94

Also, the graph of f(x) = √94x can be obtained from horizontally stretching f(x) = √x by a factor of 1/94

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An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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The missing parts of the right triangle are shown below.

A perfect 90-degree angle (a right angle) distinguishes a right triangle from other triangle types. The hypotenuse and legs are terms used to describe the two sides.

1) Sin 48 = x/5

x = 5 Sin 48

x = 3.7

2) Cos x = 11/23

x = Cos-1(11/23)

= 61.4 degrees

3) Tan 54 = x/8

x = 8 Tan54

x = 11.0

4) Sin 37 = x/12

x = 12Sin 37

= 7.2

5) Cos x = 6.5/10

x = Cos-1(6.5/10)

x = 49.5 degrees

6) Tan x = 47/25

x = Tan-1 (47/25)

x = 61.9 degrees

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The base case in a recursive solution to the problem of finding the factorial of a number is n = 0 .

Given :

the base case in a recursive solution to the problem of finding the factorial of a number. recall that the factorial of a non-negative whole number is defined as n! .

Base case :

The base case is the condition to stop the recursion. The recursive case is the part where the function calls on itself .

we know that ,

def func ( n ) :

     if   n == 0 :

return 1

Here the base case is clearly n = 0

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The line of the best fit is y = 2100x -4166040 and the number of bottles is, 86460 which expect to sell in 2025

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

We have data shown in the table:

To find the line of best fit, we will calculate its slope and y-intercept.

We know the slope is given by:

\(\rm m = \dfrac{n\sum xy-\sum x \sum y}{n \sum x^2 - (\sum x)^2}\)   where n = 5

After calculating, we get,

\(\rm n\sum xy-\sum x \sum y = 105000\)  and

\(\rm n \sum x^2 - (\sum x)^2 = 50\)

m = 105000/50 = 2100

For y-intercept b:

\(\rm b = \dfrac{\sum y -m \sum x}{n}\)

After calculating:

b = -4166040

The line becomes:

y = 2100x -4166040

If x = 2025 put this value in the line, we get:

y = 86460

Thus, the line of the best fit is y = 2100x -4166040 and the number of bottles is, 86460 which expect to sell in 2025

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The rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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

John drove from here to San Antonio which is 180 miles away in 3 hours.

This means that

Distance = 180 miles

Time = 3 hours

Using the above as a guide, we have the following:

Speed = Distance/Time

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

Speed = 180/3

Evaluate

Speed = 60

Hence. the rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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Answer:

y=0.25x

We can think of k as an unknown number.

8×_=2.00

12×_=3.00

20×_=5.00

If we divide 2 with 8 we are left with 0.25.

It's the same for the other numbers so we know the constant is 0.25.

When we use the formula y=0.25x with the numbers above, it is correct.

8×0.25=2.00

12×0.25=3.00

20×0.25=5.00

Answer:

45 degrees

Step-by-step explanation:

The 4 angles of a quadrilateral will add to 360.

We know 1 of them (angle B) is 90 degrees.

We can set up an equation to solve the others.

2x+3x+x+90 = 360

Now solve for x.

Start by combining the x terms together.

6x+90 = 360

6x = 360-90

6x = 270

(6x/6) = 270/6

x = 45 degrees

Check back to see if that makes sense and if the equation equals 360 when x is 45:

2x+3x+x+90 = 360

2(45)+3(45)+45+90=360.

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

\(Initial =1\ million\)

\(6\ years\ later = 500,000\)

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

\(\frac{dA}{dt} = kA\)

Where k represents the constant of proportionality

\(\frac{dA}{dt} = kA\)

Multiply both sides by dt/A

\(\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}\)

\(\frac{dA}{A} = k\ dt\)

Integrate both sides

\(\int\ {\frac{dA}{A} = \int\ {k\ dt}\)

\(ln\ A = kt + lnC\)

Make A, the subject

\(A = Ce^{kt}\)

\(t = 0\ when\ A =1\ million\) i.e. At initial

So, we have:

\(A = Ce^{kt}\)

\(1000000 = Ce^{k*0}\)

\(1000000 = Ce^{0}\)

\(1000000 = C*1\)

\(1000000 = C\)

\(C =1000000\)

Substitute \(C =1000000\) in \(A = Ce^{kt}\)

\(A = 1000000e^{kt}\)

To solve for k;

\(6\ years\ later = 500,000\)

i.e.

\(t = 6\ A = 500000\)

So:

\(500000= 1000000e^{k*6}\)

Divide both sides by 1000000

\(0.5= e^{k*6}\)

Take natural logarithm (ln) of both sides

\(ln(0.5) = ln(e^{k*6})\)

\(ln(0.5) = k*6\)

Solve for k

\(k = \frac{ln(0.5)}{6}\)

\(k = \frac{-0.693}{6}\)

\(k = -0.1155\)

Recall that:

\(\frac{dA}{dt} = kA\)

Where

\(\frac{dA}{dt}\) = Rate

So, when

\(A = 600000\)

The rate is:

\(\frac{dA}{dt} = -0.1155 * 600000\)

\(\frac{dA}{dt} = -69300\)

Hence, the amount of oil was decreasing at 69300 barrels, yearly

The chemist uses 3.33 liters of 30% solution to make 5 liters of a 40% chemical solution

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Let x represent amount of 60% solution and y represent the amount of 30% solution.

If a chemist wants to make 5 liters of a 40% chemical solution by mixing a 60% solution with a 30% solution. Hence:

x + y = 5    (1)

Also:

0.6x + 0.3y = 5(0.4)

0.6x + 0.3y = 2    (2)

From both equations:

x = 1.67, y = 3.33

The chemist uses 3.33 liters of 30% solution

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Answer:

\( \frac{1}{x {}^{2} y {}^{4} }\)

Step-by-step explanation:

\( \frac{x {}^{ - 2} }{y {}^{4} } = x {}^{ - 2} \times \frac{1}{y {}^{4} } \)

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

\(therefore \: \frac{x {}^{ - 2} }{y {}^{4} } = \frac{1}{x {}^{2} } \times \frac{1}{y {}^{4} } \\ = \frac{1}{x {}^{2}y {}^{4} }\)

smale0e si lo haces bien te vas a sacar un 5

From the remainder theorem, the remainder will be -2 and the relationship between f(x) and x + 2 is an inverse relationship.

The remainder theorem is used to determine the remainder where a polynomial is divided by a binomial.

The remainder theorem states that if a polynomial p(x) is divided by a binomial x - a, the remainder of the division is p(a).

Given the following division, f(x)/ x + 2

We can rewrite the binomial in this form:

x + 2 = x - (-2)

The division then becomes:

f(x)/ x - (-2)

From the remainder theorem, the remainder will be -2.

Therefore, the relationship between f(x) and x + 2 is an inverse relationship such that f(2) = -2

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Answer:

They often use up other resources native organsinsms need.

Step-by-step explanation:

By doing so they can end up killing native organsinsms.

Answer:

22 cents per mile

Step-by-step explanation:

to get this answer, divide 17.60 by 4 to get the unit rate, or the rate when x=1.

Answer:

Step-by-step explanation:

The length of AC should be between 5 inches and 25 inches

Jose in this problem draws a triangle, ABC.

We know the length of two sides of the triangle:

AB = 10 inches

BC = 15 inches

The length of the third side in a generic triangle can be calculated using the cosine theorem:  

where

a, b, c are the three sides

is the angle opposite to side  

Looking at the formula, we observe that:

- The maximum value for  is obtained for , so that . In this case, the length of the missing side  (AC, in this case) is

- The minimum value for  is obtained for , for which , so in this case the length of AC is

So, the length of AC must be between 5 and 25 inches.

-Random Brainly user

Answer:

10 inches and yes

Step-by-step explanation:

if you start with A then draw a line to B which is 10 inches, then you draw to C 15 inches. to finish the triangle would be A to C which would be the same thenth as A to B. your only choice to finish the triangle is A to C. left and right side of the triangle would be the same. bottom of the triangle is 15, B to C

Answer: To find the image of a figure under a translation, you need to apply the same translation to every point in the figure.

In this case, the image of hexagon DEFGHI is hexagon D′E′F′G′H′I′. To find the image of each point, you can apply the translation that maps point D to point D′.

For example, to find the image of point E under the translation, you can apply the same translation that maps point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation that maps point D to point D′ is a translation 6 units to the left and 2 units down.

To find the image of point E under this translation, you can apply the same translation to point E:

Point E is located at (5, 5).

The image of point E is located at (5 - 6, 5 - 2) = (-1, 3).

You can follow the same process to find the images of the other points under the translation.

Alternatively, you can use the coordinates of point D and point D′ to find the translation vector that describes the translation. The translation vector is a displacement that describes the change in position of a point under the translation.

In this case, the translation vector is given by the displacement from point D to point D′:

Point D is located at (2, 5).

Point D′ is located at (-6, -2).

The translation vector is given by the displacement (-6 - 2, -2 - 5) = (-8, -7).

To find the image of any point under the translation, you can add the translation vector to the coordinates of the point. For example, to find the image of point E under the translation, you can add the translation vector to the coordinates of point E:

Point E is located at (5, 5).

The translation vector is (-8, -7).

The image of point E is located at (5 - 8, 5 - 7) = (-3, -2).

You can follow the same process to find the images of the other points under the translation.

Step-by-step explanation:

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\( = (x + 5)(x + 4)\)

\( = {x}^{2} + 4x + 5x + 20\)

\( = {x}^{2} + 9x + 20\)

The approximate difference in the circumferences of the two circles is: C. 61 cm.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 4.5

Circumference of circle, C = 14.13 cm.

For the larger circle, we have:

Circumference of circle, C = 3.14 × 24

Circumference of circle, C = 75.36 cm.

Difference = 75.36 cm - 14.13 cm.

Difference = 61.23 ≈ 61 cm.

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Answer: n = -304

Step-by-step explanation:
-304/8 = -38

-17 - (-38) = 21

n = -304

Answer:19.6

Step-by-step explanation:

21/8=2.6

-17-2.6=19.6