This isn’t so much a question but I need help checking my answers to make sure they’re right. The problems are in the picture, I just need to know if I did it wrong or not thankss.

Here’s my answers :
1.) W=-24
2.) X=3
3.) Z=5
4.) X=8

The answer is -24.

Find an equation of the line tangent to the graph of f(x) = (5x – 4)(x + 2) at (1,3).

To find the equation of the tangent line, we must first take the derivative of the function f(x) which is given by:

$$f(x) = (5x – 4)(x + 2)$$

Using the product rule of differentiation, we have:

f'(x) = 5(x+2) + (5x-4)(1) = 10x+6

So the slope of the tangent line at (1,3) is:

f'(1) = 10(1)+6 = 16

Now we have the slope and a point (1,3). We can use the point-slope formula to find the equation of the tangent line:

y - y1 = m(x - x1)

Here, m = 16, x1 = 1 and y1 = 3.

Therefore, the equation of the line tangent to the graph of f(x) = (5x – 4)(x + 2) at (1,3) is given by:

y - 3 = 16(x - 1)

which can be simplified as y = 16x - 13

Thus, the equation of the tangent line is y = 16x - 13.

Let f(x) = 3x2 – 3 and let g(x) = 4x + 1.

We need to find the value of f[g(-1)].

To find f[g(-1)], we need to first find g(-1) which is given by:

g(-1) = 4(-1) + 1 = -3

Now that we have g(-1), we can find f[g(-1)] which is given by:

f[g(-1)] = f(-3) = 3(-3)2 – 3 = -24

So, the value of f[g(-1)] is -24. Therefore, the answer is -24.

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Answer:

x=0

y=-3

Step-by-step explanation:

Answer:

b, the y-intercept, is 1

Step-by-step explanation:

Compare the given y = 4x + 1 to

                                y = mx + b

We see immediately that b, the y-intercept, is 1.

Answer:

Step-by-step explanation:

Given

Use the ratio to find the value of x:

it is a right triangle lengths 6 8 and 10.

In this issue:

Then:

\(& 6^2+8^2=10^2 \\\)

\(& 36+64=100 \\\)

\(& 100=100\)

Identity, so it is a right triangle.

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Answer:

Company D is the correct choice. With a flat rate of $150 plus the hourly fee of $5, you add the hourly to the flat fee. So in this case, $150 + 7($5) = $185. This comes out to be the lowest price out of the 4 options provided.

Step-by-step explanation:

I derped. I'm sorry. Here is the answer as an actual answer :)

Answer:

Company C

Step-by-step explanation:

Answer:

644

Step-by-step explanation:

SA=[2×(5×20 + 5×6 + 20×6)] +

[2×(4×12 + 4×6 + 12×6)] -

[ 2× 12×6]

= [2×(250)]+[2×(144)] - [144]

= 500+288-144

= 644 cm²

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Diameter = 17 cm

Radius = r = Diameter /2 = 17/2 =8.5 cm

Surface area of a sphere: 4 π r^2

Replacing with the values given:

SA = 4 π (8.5) ^2 = 907.92 cm^2

Answer:

\(\frac{11}{3}\)

Step-by-step explanation:

2\(\frac{1}{5}\) ÷ \(\frac{3}{5}\)

2 1/5 = 11/5

\(\frac{11}{5}\) ÷ \(\frac{3}{5}\) = \(\frac{11}{5}\) · \(\frac{5}{3}\) = \(\frac{55}{15}\) = \(\frac{11}{3}\)

So, the answer is  \(\frac{11}{3}\)

Answer:

92/3 acres

Step-by-step explanation:

Size of one section = \(3\frac{5}{6}\) acres = 23/6 acres

No. of sections = 8

Total land owned by the owner = 23/6 * 8

= 92/3 acres or 3 \(\frac{2}{3}\) acres

The geometric average of the five returns is 20.14.%

Geometric average or geometric mean is the average of a set of values calculated using the products of the terms or values.

The geometric average of a data set containing n observations is the nth root of the product of the values.

Calculating the geometric average of the following five returns: -36.81%, 19.14%, 23.77%, -6.34%, 31.17%:

n = 5

Geometric average = \(\sqrt[5]{(-36.81) \times (19.14) \times (23.77) \times (-6.34) \times (31.17)}\)

Geometric average = 20.14%

In conclusion, the geometric average  mean is obtained as the  nth root of the product of the values.

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The probability of exactly one successes in five trials  is 0.20

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

The probability is calculated as

P(x) = nCx * p^x * (1 - p)^(n -x)

Where

n = 5

p = 5%

x = 1

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

P(1) = 5C1 * (5%)^1 * (1 - 5%)^(5 -1)

Evaluate

P(1) = 0.20

HEnce, the probability value is 0.20

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The number of students in the telescope club by $x$ and the number of students in the math club by $y$.

$y=2x$Now, suppose there are $z$ students who are members of both clubs. Then the total number of students who are in the math club or the telescope club (or both) is given by:$x + y - z$ Substituting $y=2x$ in the above expression, we get:$x + 2x - z=3x - z$ Hence, the expression for the total number of students who are in the math club or the telescope club (or both) is $3x - z$.b)The number of students who are in the math club but not in the telescope club is given by:$y-z$ And the number of students who are in the telescope club but not in the math club is given by:$x-z$ Adding these two expressions, we get the total number of students who are in the math club or the telescope club but not both:$ y-z+x-z $.

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Answer:

22500

Step-by-step explanation:

This is because 75 x 60 = 4500 (that gives us the beats per hour)

4500 x 5 = 22500 (that gives us the beats per 5 hour)

Answer:

5×60=300mins

1min=75heartbeat

300min=300×75=22500heartbeat

Step-by-step explanation:

Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

Answer:

Distance travelled by skateboard is 1.5 miles.

Displacement is 1 mile.

(a) The values of x that satisfy y = -√2/2 in the interval [0, 4π] are: x = π/4, 3π/4, 5π/4, 7π/4, 9π/4, 11π/4, 13π/4, 15π/4.

(b) All x-values except those listed in part (a) satisfy y > -√2/2 in the interval [0, 4π].

(c) All x-values except those listed in part (a) satisfy y < -√2/2 in the interval [0, 4π].

To find the values of x that satisfy the given conditions, we need to examine the graph of the equation y = sin(x) on the interval [0, 4π].

(a) For y = -√2/2:

Looking at the unit circle or the graph of the sine function, we can see that y = -√2/2 corresponds to two points in each period: -π/4 and -3π/4.

In the interval [0, 4π], we have four periods of the sine function, so we need to consider the following values of x:

x₁ = π/4, x₂ = 3π/4, x₃ = 5π/4, x₄ = 7π/4, x₅ = 9π/4, x₆ = 11π/4, x₇ = 13π/4, x₈ = 15π/4.

Therefore, the values of x that satisfy y = -√2/2 in the interval [0, 4π] are:

x = π/4, 3π/4, 5π/4, 7π/4, 9π/4, 11π/4, 13π/4, 15π/4.

(b) For y > -√2/2:

Since -√2/2 is the minimum value of the sine function, any value of x that produces a y-value greater than -√2/2 will satisfy the condition.

In the interval [0, 4π], all x-values except those listed in part (a) will satisfy y > -√2/2.

(c) For y < -√2:

Again, since -√2/2 is the minimum value of the sine function, any value of x that produces a y-value less than -√2/2 will satisfy the condition.

In the interval [0, 4π], all x-values except those listed in part (a) will satisfy y < -√2/2.

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The surface area of the box is 1048 square inches

The formula for calculating the surface area of the prism is expressed as:

Surface area = 2(lw + wh +lh)

Given the following

l = 20in

w = 8in

h = 13in

Substitute the given parameters'

Surface area = 2(lw + wh +lh)

Surface area = 2(20(8) + 8(13) +20(13))

Surface area = 2(160+104+260)

Surface area = 1048 square inches

Hence surface area of the box is 1048 square inches

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Answer: 585

Step-by-step explanation:

V=lwh

V= 15 * 13 * 3

The equation Y=-3x-1 represents a linear relationship between x and y, and can be used to model real-world situations such as distance vs. time or cost vs. quantity.

The equation Y=-3x-1 represents a straight line on a coordinate plane. The "slope-intercept" form of the equation is y=mx+b, where m is the slope and b is the y-intercept.

In this case, the slope is -3 and the y-intercept is -1. This means that the line goes downwards at a rate of 3 units for every 1 unit to the right, and intersects the y-axis at -1.

To find the solution to this equation, you would need to have a specific value for either x or y.

If you were given a value for x, you could plug it into the equation to find the corresponding value for y. If you were given a value for y, you could solve for x by rearranging the equation.

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Answer:

Step-by-step explanation:

Answer: rational number

Step-by-step explanation: -2.33333 ...

Answer:

Classifications 1 & 2

Step-by-step explanation:

Real number: because It is located on the number line, belongs to negative numbers.

Rational number: because it is a fraction (quotient)

-7/3 it is not a integer number or whole number

Hope this helps

It should be noted that a pantograph consists of four rods that are joined together in order to form a parallelogram with the joints varying in relation to the scale of reproduction.

In a pantograph, the mechanical assembly is based on the shape of a parallelogram.

It should be noted that the operation of a pantograph can be related to dilation as it has a fixed center and two points which are a drypoint that follows the contour of the original drawing, as well as a pen point that traces the reproduction in an enlarged or reduced form.

In order to enlarge a drawing, the index is positioned between the fixed center and the pen. Therefore, to reduce it, the pen is set between the fixed center and the index.

Lastly, to copy a drawing on the same scale, it can be deduced that the index and the pen are equidistant from the fixed center.

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Answer: 12 outcomes

Step-by-step explanation:

When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of 2×6=12 outcomes.

The y-intercept of the line y = -3/4 is  -3/4 and the slope is 0 .

In the question ,

it is given that ,

that the equation of the line is y \(=\) -3/4 .

we can rewrite the equation in point slope form that is y = mx + c

where m \(=\) slope and

c \(=\) y intercept  .

So , on rewriting the given equation , in point slope form

we get ,

y = 0*x -3/4

On comparing , it with the point slope form of the line ,

we can say that the slope of the line is 0 and the y intercept is -3/4 .

Therefore , The y-intercept of the line y = -3/4 is  -3/4 and the slope is 0 .

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Answer:

A

Step-by-step explanation:

kapa

the third square (8 + 7). all other squares equal 14, but that one equals 15

The coefficient of permeability of the soil is approximately 0.203 m/s.

To calculate the coefficient of permeability (k) of the soil using the falling-head permeability test, we can use Darcy's Law:

Q = (k * A * Δh) / (L * Δt)
Where:
Q is the discharge rate of water through the soil specimen,
k is the coefficient of permeability,
A is the cross-sectional area of the soil specimen,
Δh is the change in head,
L is the length of the soil specimen, and
Δt is the time it takes for the head to drop.

Let's calculate the values step by step:

1. Calculate the cross-sectional area (A) of the soil specimen:

A = π × (diameter/2)²
A = π × (100 mm/2)²

A = 3.14159 × (50 mm)²

A = 3.14159 × 2500 mm²

A = 7853.98 mm²

2. Convert the cross-sectional area to square meters:

A = 7853.98 mm²/(100 mm/2)²

A = 7,85398 m²

3. Calculate the change in head (Δh):
Δh = initial head - final head

= 2.00 m - 0.40 m

= 1.60 m

4. Convert the diameter of the standpipe to meters:

diameter = 5 mm / 1000

= 0.005 m

5. Calculate the discharge rate (Q):

Q = (k * A * Δh) / (L * Δt)

Since the falling-head permeability test involves a constant head, the discharge rate (Q) can be simplified as follows:

Q = (k * A) / Δt

We need to calculate Δt first.

6. Convert the time (3 hours) to seconds:
Δt = 3 hours * 60 minutes/hour * 60 seconds/minute

= 3 * 60 * 60 seconds

= 10,800 seconds

Now we can calculate Q:

Q = (k * A) / Δt

\(Q = (k * 7.85398 m^2) / 10,800 s\)

We can rearrange the equation to solve for k:

k = (Q * Δt) / A

Now we need to calculate Q:

Q = (1.60 m) / (10,800 s)

= 0.0001481 m/s

Finally, substitute the values into the equation to calculate the coefficient of permeability (k):

k = (0.0001481 m/s * 10,800 s) / 7.85398 m²

≈ 0.203 m/s

Therefore, the coefficient of permeability of the soil is approximately 0.203 m/s.

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In a falling-head permeability test the initial head of 2.00m dropped to 0.40 m in 3h, the diameter of the standpipe being 5mm. The soil specimen was 200 mm long by 100mm in diameter. The coefficient of permeability of the soil is approximately 0.203 m/s.

To calculate the coefficient of permeability (k) of the soil using the falling-head permeability test, we can use Darcy's Law:

Q = (k * A * Δh) / (L * Δt)

Where:

Q is the discharge rate of water through the soil specimen,

k is the coefficient of permeability,

A is the cross-sectional area of the soil specimen,

Δh is the change in head,

L is the length of the soil specimen, and

Δt is the time it takes for the head to drop.

Let's calculate the values step by step:

1. Calculate the cross-sectional area (A) of the soil specimen:

A = π × (diameter/2)²

A = π × (100 mm/2)²

A = 3.14159 × (50 mm)²

A = 3.14159 × 2500 mm²

A = 7853.98 mm²

2. Convert the cross-sectional area to square meters:

A = 7853.98 mm²/(100 mm/2)²

A = 7,85398 m²

3. Calculate the change in head (Δh):

Δh = initial head - final head

= 2.00 m - 0.40 m

= 1.60 m

4. Convert the diameter of the standpipe to meters:

diameter = 5 mm / 1000

= 0.005 m

5. Calculate the discharge rate (Q):

Q = (k * A * Δh) / (L * Δt)

Since the falling-head permeability test involves a constant head, the discharge rate (Q) can be simplified as follows:

Q = (k * A) / Δt

We need to calculate Δt first.

6. Convert the time (3 hours) to seconds:

Δt = 3 hours * 60 minutes/hour * 60 seconds/minute

= 3 * 60 * 60 seconds

= 10,800 seconds

Now we can calculate Q:

Q = (k * A) / Δt

We can rearrange the equation to solve for k:

k = (Q * Δt) / A

Now we need to calculate Q:

Q = (1.60 m) / (10,800 s)

= 0.0001481 m/s

Finally, substitute the values into the equation to calculate the coefficient of permeability (k):

k = (0.0001481 m/s * 10,800 s) / 7.85398 m²

≈ 0.203 m/s

Therefore, the coefficient of permeability of the soil is approximately 0.203 m/s.

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Answer:

3 times

Step-by-step explanation:

The 5 in "65.1748" is in the ones place. 5 is less than 10, 100, and 1000. 5 is greater than 1/100.