W= L A ​ solve for a

The limit of the expression lim(h→0) [f(6+h) - f(6)] / h can be evaluated by using algebraic manipulation followed by direct substitution. The result of the evaluation is 1/2.

To evaluate the limit, we start by applying algebraic manipulation. First, we substitute the function f(x) = √x+8 into the expression:

lim(h→0) [f(6+h) - f(6)] / h = lim(h→0) [√(6+h+8) - √(6+8)] / h

Simplifying the expression further:

= lim(h→0) [√(h+14) - √14] / h

Next, we can rationalize the numerator by multiplying the expression by the conjugate:

= lim(h→0) [(√(h+14) - √14) * (√(h+14) + √14)] / (h * (√(h+14) + √14))

Expanding the numerator:

= lim(h→0) [(h+14) - 14] / (h * (√(h+14) + √14))

Canceling out the common terms:

= lim(h→0) h / (h * (√(h+14) + √14))

Finally, we can simplify further by canceling out the h in the numerator and denominator:

= lim(h→0) 1 / (√(h+14) + √14)

Now, we can directly substitute h = 0 into the expression:

= 1 / (√(0+14) + √14)

= 1 / (2√14)

Therefore, the limit of the expression is 1/2.

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See the attachment

Hi there !

3(0) - 5y = 15

- 5y = 15 | (-)

5y = - 15

y = - 15 : 5

y = - 3

    2. y = 0

3x - 5(0) = 15

3x = 15

x = 15 : 3

x = 5

Good luck !

Step-by-step explanation:

use the conversation factor, 1mile equals 1.609km

Answer:

thirty-eight

Step-by-step explanation:

31+7= answer

Answer:

i think its either 38 or 24

Step-by-step explanation:

Answer: 46.05

Step-by-step explanation:

1/3 * 3.14 * 4 * 11 = 46.05 (rounded to the tenth)

Answer:

3

Step-by-step explanation:

Factors of 15 are 1, 3, 5, 15

Factors or 6 are 1, 2, 3, 6

HCF = 3

Answer:

35x - 7

Step-by-step explanation:

7(5x - 1)

--> 7 x 5×

= 35x

--> 7 x -1

= -7

==> 35x - 1

Hope it helps :))

Answer:

35x - 7

Step-by-step explanation:

Q) 7(5x - 1) = ?

→ 7(5x - 1)

→ 35x - 7

So, the answer is 35x - 7.

Answer:

Photosynthesis is

Step-by-step explanation:

The process by which green plants and certain other organisms transform light energy into chemical energy. During photosynthesis in green plants, light energy is captured and used to convert water, carbon dioxide, and minerals into oxygen and energy-rich organic compounds.

Hope this answered your question :)

Answer:

the process by which green plants and some other organisms use sunlight to synthesize foods from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a byproduct.

And here is my email address vikrant:

(nobdy else needs this, just vikrant 'k.)

Answer:

y = 17

Step-by-step explanation:

3x = y - 5, for x = 4

=> 3(4) = y - 5

=> 12 = y - 5

=> 12 + 5 = y

=> 17 = y

If the ratio of dogs to cats is 2:3 and there are 520 dogs, the number of cats is 780.

The ratio refers to the relative size of one quantity or value compared to another quantity or value.

Ratios are proportionate values stated in ratio form using (:), in percentages or fractions.

The ratio of dogs to cats = 2:3

The sum of ratios = 5

The number of dogs based on this ratio = 520 dogs

The total number of dogs and cats based on the above ratio and the number of dogs = 1,300 (520/2 x 5)

The ratio of cats to dogs = 3:2 or 3/5

The number of cats = 780 (1,300 x 3/5)

Thus, using the ratio of dogs to cat, with the number of dogs as 520, there are 780 cats.

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Answer:

5

Explanation:

When we divide A by B, we are calculating how many Bs fit into A. So, if we want to know how many 2/5s fit into 2 yds, we need to divide 2 by 2/5. So:

So, 2 yds of rope can be divide into 5 ropes of 2/5 yd.

area of shaded region = 1/4 of the circle area - triangle area

circle area = pi x r² = 3,14 x 2² = 12,56 m²

so 1/4 circle area = 12,56 : 4 = 3,14 cm²

and

triangle area = 1/2 x 2 x 2 = 2 m²

=> area of shaded region = 1,14 cm²

The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).

The slope-intercept formula is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the equation in the question

2x - y = -3

First, we solve form for y and reorder in slope intercept form.

2x - y = -3

Subtract 2x from both sides

2x - 2x- y = -3 - 2x

- y = -3 - 2x

Divide each term by -1

y = 3 + 2x

Reorder in slope intercept form

y = 2x + 3

To find the y-intercept, replace x with zero and solve for y

y = 2(0) + 3

y = 3

Therefore, the y-intercept is 3.

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Answer:

y = x + 1

Step-by-step explanation:

y = mx + b

First, find the y-intercept. This is where the line intersects with the y-axis.

So, 1. -> y = mx + 1

Next, find the slope. For every 1/2 moving to the right, it also vertically increased by 1/2.

(1/2)/(1/2)

= 1 -> y = x + 1

Therefore, y = x + 1

The percentage change in the staff strength of the grocery store is 10.53%.

We are given;

Number of employees in store = 38 employees

Number of additional people hired = 4 employees

Thus, percentage change in their staff is;

4/38 * 100% = 10.53%

Thus, the percentage change in the staff strength of the grocery store is 10.53%.

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Step-by-step explanation:

bit.^{}

ly/3gVQKw3 here in this link

Answer: the answer is 31 I just submitted it

Step-by-step explanation:

In a 4x3x2x2 factorial experiment, you have 4 independent variables and potentially 4 main effect hypotheses.

The 4 independent variables are represented by the four numbers in the experimental design

(i.e., 4 levels of variable A, 3 levels of variable B, 2 levels of variable C, and 2 levels of variable D).

The potentially 4 main effect hypotheses are one for each independent variable, which states that there is a significant effect of that independent variable on the outcome variable.

A factorial experiment includes multiple factors simultaneously, each consisting of two or more

levels. Many factors simultaneously influence what is studied in a factorial experiment, and

experimenters consider the main effects and interactions between factors.

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The algebraic expression that represents the expression "six less than the quotient of a number and two, increased by ten" is [(n/2) - 6] + 10 and its value is 14 when n is 20.

An algebraic expression is a number, variable, or the combination of both and operational symbols.

The expression "six less than the quotient of a number and two, increased by ten" can be written as:

[(n/2) - 6] + 10

where n is the number

Evaluate the expression by substituting the value of n.

[(n/2) - 6] + 10

= [(20/2) - 6] + 10

= (10 - 6) + 10

= 4 + 10

= 14

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Answer:

Step-by-step explanation:

3 + 12m + 8n

5 - b - 2= 3 - b

-20 - 32t

-21 + 35a

Step-by-step explanation:

g(x) = 3^-x

x = 7/5

so,

3^-(7/5)

the "-" says "1/...", therefore

1/(3^(7/5))

that is the expressing with the positive rational exponent.

with a fractional a/b exponent, "a" means "to the power of", and "b" means "pull the bth root".

so,

1/(3^(7/5)) =

\( \frac{1}{ \sqrt[5]{ {3}^{7} } } \)

that is the expression with a radical.

to find the point find the origin (0, 0) point. from there go eighth on the x-axis to 7/5 = 1.4. and from there you go straight up to the curve. that is the point of g(7/5).

1/(3^(7/5)) = 0.214798005...

that is what the y value would be of that point.

by the way, the graph in the picture does not match the actual graph.

15: The given equation is x^2y^3 + x(1+y^2)y' = 0. To check if the equation is exact, we need to find the partial derivatives of M = x^2y^3 and N = x(1+y^2) with respect to x and y, respectively. If the partial derivatives are equal, then the equation is exact. The partial derivative of M with respect to x is 2xy^3, and the partial derivative of N with respect to y is 2xy. Since these two partial derivatives are not equal, the equation is not exact. However, if we multiply the equation by the integrating factor x(x,y) = 1/(xy^3), we get (x^2y^3)/(xy^3) + (x(1+y^2)y')/(xy^3) = 0, which simplifies to x + (1+y^2)y'/y^3 = 0. Now, the partial derivative of M with respect to x is 1, and the partial derivative of N with respect to y is 1, so the equation is exact. To solve the equation, we can integrate both sides with respect to x to get xy + (1+y^2)/y^2 = C, where C is the constant of integration. Solving for y gives us y^3 - Cy^2 - x = 0, which is the solution to the equation.

Problem 16: The given equation is (x+2)sin y + (x cos y)y' = 0. To check if the equation is exact, we need to find the partial derivatives of M = (x+2)sin y and N = x cos y with respect to x and y, respectively. If the partial derivatives are equal, then the equation is exact. The partial derivative of M with respect to x is sin y, and the partial derivative of N with respect to y is -x sin y. Since these two partial derivatives are not equal, the equation is not exact. However, if we multiply the equation by the integrating factor x(x,y) = xex, we get (x+2)xex sin y + x^2ex cos y y' = 0. Now, the partial derivative of M with respect to x is xex sin y + 2xex sin y, and the partial derivative of N with respect to y is x^2ex cos y - x^2ex sin y, so the equation is exact. To solve the equation, we can integrate both sides with respect to x to get x^2ex sin y + 2xex sin y = C, where C is the constant of integration. Solving for y gives us y = arcsin((C - x^2ex - 2xex)/x^2ex), which is the solution to the equation.

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Answer:

6 for senior and 7c for child

Step-by-step explanation:

Answer:

U just need to guess it does not have to be exact just say like 200 bricks and u will get it right.

The sum of the residuals and what it tells us about the line of best fit is that: −1.06; This indicates that the line of best fit is not very accurate and is not a good model for prediction.

Mathematically, the residual value of a data set can be calculated by using this formula:

Residual value = actual value - predicted value

Next, we would determine the predicted values as follows:

At point (4, 6), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(4) − 0.76.

Predicted value, y = 5.08

At point (6, 7), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(6) − 0.76.

Predicted value, y = 8.

At point (7, 8), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(7) − 0.76.

Predicted value, y = 9.46.

At point (9, 13), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(9) − 0.76.

Predicted value, y = 12.38.

At point (10, 14), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(10) − 0.76.

Predicted value, y = 13.84

At point (11, 15), we have;

Predicted value, y = 1.46x − 0.76.

Predicted value, y = 1.46(11) − 0.76.

Predicted value, y = 15.3.

Now, we can calculate the sum of the residuals as follows:

Sum of the residuals = Sum of actual values - Sum of predicted values

Sum of the residuals = (6 + 7 + 8 + 13 + 14 + 15) - (5.08 + 8 + 9.46 + 12.38 + 13.84 + 15.3)

Sum of the residuals = 63 - 64.06

Sum of the residuals = -1.06.

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Answer:

-1.06

Step-by-step explanation:

i took the test :)

The volume of the building is, 11,775 ft³

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A city has cone-shaped buildings for storing salt and sand for icy roads. Each building has a radius of 25 feet and a height of 18 feet.

Now, We know that;

⇒ Volume of Cone = πr²h/3

Here, Each building has a radius of 25 feet and a height of 18 feet.

Hence, Volume of building is,

⇒ V = πr²h/3

⇒ V = 3.14 × 25² × 18 / 3

⇒ V = 11,775 ft³

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a. The linear equation that models the temperature T as a function of the number of chirps per minute N is: T(N) = (1/9)N + 60

b. If the crickets are chirping at 155 chirps per minute, the estimated temperature is approximately 77.22 degrees Fahrenheit.

a. Let's first find the slope of the line using the formula:

slope (m) = (y2 - y1) / (x2 - x1)

where (x1, y1) = (117, 73) and (x2, y2) = (180, 80).

slope = (80 - 73) / (180 - 117)

= 7 / 63

= 1/9

Now, let's use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Using the point (117, 73):

T - 73 = (1/9)(N - 117)

Simplifying the equation:

T - 73 = (1/9)N - (1/9)117

T - 73 = (1/9)N - 13

Now, let's rearrange the equation to solve for T:

T = (1/9)N - 13 + 73

T = (1/9)N + 60

Therefore, the linear equation that models the temperature T as a function of the number of chirps per minute N is: T(N) = (1/9)N + 60

(b) If the crickets are chirping at 155 chirps per minute, we can estimate the temperature T using the linear equation we derived.

T(N) = (1/9)N + 60

Substituting N = 155:

T(155) = (1/9)(155) + 60

T(155) = 17.22 + 60

T(155) ≈ 77.22

Therefore, if the crickets are chirping at 155 chirps per minute, the estimated temperature is approximately 77.22 degrees Fahrenheit.

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Step-by-step explanation:

I can't draw here, but I can describe :

an isoceles triangle means that 2 sides of the triangle are equally long (they are typically called the "legs" left and right on top of the baseline).

this fact makes the triangle symmetrical.

and that means that 2 angles are also equal (the angles of the legs with the baseline).

so, knowing that one angle is 34 degrees can mean 2 things :

either 34 degrees is the angle between the 2 legs, or it is one of the 2 equal angles between legs and baseline.

as we know the sum of all angles in a triangle is always 180 degrees.

so case 1 : 34 degrees is the angle between the legs

180 = 34 + 2×base-leg-angle

144 = 2×base-leg-angle

each base-leg-angle = 72 degrees

case 2 : 34 degrees is one of the base-leg-angles

180 = 2×34 + between-the-legs-angle

180 = 68 + between-the-legs-angle

between-the-legs-angle = 112 degrees

so, you need to draw one triangle for each case.

since we don't know anything about the side lengths, size does not matter. only the angles need to be correct :

one triangle with 34, 72, 72 degrees

and one triangular with 34, 34, 112 degrees

In this situation, As we rise to higher attires, the temperature lowers therefore, only Option B [42. 1º. 40.5º. 39. 70. 34.49. 30.00] follows that requirement.

        Now show why there are other possibilities wrong

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Answer:

N=11/5

Step-by-step explanation:

Answer:

n = 2.2

Step-by-step explanation:

Given

- 6.5(n - 5) = 18.2 ( divide both sides by - 6.5 )

n - 5 = - 2.8 ( add 5 to both sides )

n = 2.2

Answer:

0.009

Step-by-step explanation: