pls help with this math question

Answer:

c.4

Step-by-step explanation:

hope it helps ............

Thhe ratio of the planter's length to width is 4. Length : Width = 4 : 1

We are given that the ratio of the planter's width to height is 4. Mathematically, this can be expressed as:

w/h = 4

Substituting the expressions for w and h, we have:

(42 - 2x)/(18 - 2x) = 4

Let's solve the equation to find the exact value.

First, cross-multiply:

(42 - 2x) * 1 = (18 - 2x) * 4

42 - 2x = 72 - 8x

6x = 30

x = 5

Now we can substitute x = 5 into the expression (42 - 2x)/(18 - 2x):

(42 - 2(5))/(18 - 2(5)) = 32/8 = 4

Therefore, the ratio of the planter's length to width is 4. Length : Width = 4 : 1

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The sum of the angles of an N-sided convex figure is (n-2)*180 - a simple proof of which is just to decompose the figure into triangles, each of which has all of its vertices the same as three of the vertices of the original figure. (Cut a quadrilateral into two triangles along a diagonal, for instance).

So, a 7-sided figure has angles totaling 5*180 = 900. Now set up a simple equation:

3x + 4(x+15) = 900

7x + 60 = 900

7x = 840

x = 120

The figure has three angles of 120 degrees, and four angles of 135 degrees.

The differential equation dz/dt + 3et*z = 0, the solution to the differential equation is z = c * e^(-3e^t/c1).

Step 1: Identify the equation type.
The given differential equation is a first-order linear differential equation.
Step 2: Find the integrating factor.
The integrating factor is e^(∫P(t) dt), where P(t) is the coefficient of z in the given equation. In this case, P(t) = 3et. So, the integrating factor is:
e^(∫3et dt) = e^(∫3et dt) = e^(3e^t/c1), where c1 is a constant.
Step 3: Multiply the differential equation by the integrating factor.
Multiply the given equation by e^(3e^t/c1):
e^(3e^t/c1)*(dz/dt + 3et*z) = 0
Step 4: Simplify the equation and integrate.
The left side of the equation is now an exact differential:
d/dt(z*e^(3e^t/c1)) = 0
Integrate both sides with respect to t: ∫(d/dt(z*e^(3e^t/c1))) dt = ∫0 dt
z*e^(3e^t/c1) = c, where c is another constant.
Step 5: Solve for z.
Divide both sides by e^(3e^t/c1) to find z:
z = c * e^(-3e^t/c1)
So, the solution to the differential equation is z = c * e^(-3e^t/c1).

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Answer:

420

Step-by-step explanation:

(Have a great day)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1!!!

Step-by-step explanation:

get x alone

first get w out of the way by using opposite operation

w is subtracting from x/v, so you need to add on both sides to get rid of it on the left

x/v-w+w=y+w

x/v=y+w.now you have to do opposite operation for x/v which is multiplication

so to get x alone we have to multiply v on both sides

v×(x/v)=v×(y+w)

x=v(y+w)

Answer:

The answer is letter B

Step-by-step explanation:

-5x^2+3x+10

-25x+3x(-5)+10

-25x-15+10

-40+10

30

9514 1404 393

Answer:

  A.  f(x) = x^2 -3x -10

Step-by-step explanation:

You can easily determine the correct equation by looking at a couple of table values.

The y-value for x=0 is -10, which is the constant in the quadratic formula. (eliminates choices B and C)

The y-value for x=1 is -12, which is the sum of coefficients in the quadratic formula. For choice A, the sum of coefficients is 1 -3 -10 = -12. For choice D, the sum of coefficients is 1 +3 -10 = -6. The value for choice D does not match the table, but the value for choice A does.

The function that represents the table is ...

  f(x) = x^2 -3x -10

_____

Additional comments

If you don't have equations to test, and you want to write your own equation, there are a couple of ways to do that. One is to look at the differences of y-values, and the differences of those.

The sequence of y-values shown is ...

  30, 18, 8, 0, -6, -10, -12

The sequence of differences of these numbers, starting with 18-30 = -12 is ...

  -12, -10, -8, -6, -4, -2

The sequence of differences of these numbers is ...

  2, 2, 2, 2, 2

The fact that they are constant tells you a quadratic (degree = 2) will describe the table.

We can find the coefficients a, b, c in the quadratic formula f(x) = ax^2 +bx +c as follows. First, we define d1 as the first of the sequence of differences (-12), and d2 as the value of the second differences (2). And we'll let x0 and y0 be defined as the first of the x-values (-5) and y-values (30).

The formulas for the coefficients (a, b, c) can be found from ...

  a = (d2)/2 = 2/2 = 1

  b = (d1) -a(2·(x0) +1) = -12 -1(2·(-5) +1) = -12 +9 = -3

  c = y0 -x0(a·x0 +b) = 30 -(-5)(1·(-5) +(-3) = 30 -40 = -10

As we noted above, the y-value corresponding to x=0 is also this c value. When the table includes x=0 and x=1, those can be used to simplify the finding of the formula coefficients.

These computations tell us f(x) = x^2 -3x -10, as above.

__

If you have to do this again, it might be useful to make a note of the expressions for 'a', 'b', and 'c' that we showed here, along with the definitions of the variables we used in them.

__

Another way to find the formula for f(x) is to make use of a calculator or spreadsheet capable of quadratic regression. Give it three (x, y) pairs from the table, and it can tell you the formula coefficients. This is illustrated by the attachment.

Step-by-step explanation:

Let L and W be the length and width of the rectangle, respectively.

We know that the perimeter, P, of a rectangle is given by:

P = 2L + 2W

In this case, P = 16 cm, so we have:

16 = 2L + 2W

Simplifying, we get:

8 = L + W

To find the greatest area of the rectangle, we need to maximize the product of L and W, which is the formula for the area, A:

A = L * W

We can solve for one variable in terms of the other using the equation we found earlier:

L = 8 - W

Substituting this into the formula for the area, we get:

A = (8 - W) * W

Expanding and simplifying, we get:

A = 8W - W^2

To find the maximum value of A, we can use calculus or complete the square. Completing the square, we get:

A = -(W - 4)^2 + 16

Since the square of a real number is always nonnegative, the maximum value of A occurs when (W - 4)^2 = 0, which is when W = 4.

Substituting this value back into the equation for the perimeter, we get:

8 = L + 4

L = 4

Therefore, the rectangle with a perimeter of 16 cm and the greatest area is a square with sides of length 4 cm, and its area is:

A = L * W = 4 * 4 = 16 square centimeters.

Answer:

The answer is below

Step-by-step explanation:

a) g(10) = -3(10) + 1 = -30 + 1 = -29

b) f(3) = (3)² + 7 = 16

c) h(-2) = 12 / (-2) = -6

d) j(7) = 2(7) + 9 = 14 + 9 = 23

e) h(a) = 12 / (a) = 12 / a

f) g(b + c) = -3(b + c) + 1 = 1 - 3b - 3c

h) g(x) =  16

-3x + 1 = 16

3x = 1 - 16

3x = -15

x = -5

i) h(x) = -2

12 / x = -2

x = 12 / -2 = -6

j) f(x) = 23

23 = x² + 7

x² = 16

x = √16

x = 4

We have that the angle is 330°

Now

Answer:

x-7>0

Straight answer: x-7

Step-by-step explanation:

Assuming that the timber is X cm long and 7cm was cut off, there remaining amount is x - 7cm. In order for 7cm to be cut off, the timber must have been > 7cm long => x > 7 => x - 7 > 0

Answer:

1 : 2

Step-by-step explanation:

in ratios both numerator and denominator should be in same units/measurement

so 3/2 year = 3/2 * 12 months

= 3 * 6

= 18 months

ratio is 9 : 18

1 : 2

Answer:

Substitution

Step-by-step explanation:

Subtitue x=3 into the second equation

y=2(3)+1

y=6+1

y=7

Answer:

The temperature at noon was -10ºF + 15º = 5ºF.

Then, from noon to 7:00 pm, there were 7 hours, during which the temperature dropped 25º. Therefore, the temperature at 7:00 pm was:

5ºF - 25º = -20ºF.

So, the temperature at 7:00 pm was -20ºF.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer would be -30°F

The sample size used in this analysis, representing the number of sales calls Lori made during the month, is approximately 385.

The sample size used in this analysis, representing the number of sales calls Lori made during the month, can be determined using the standard error of the proportion and the desired level of confidence.

To calculate the sample size, we need to use the formula:

\(n = (Z^2 * p * (1 - p)) / E^2\)

Where:

n = sample size

Z = z-score corresponding to the desired level of confidence

p = estimated proportion (historical book adoption rate)

E = margin of error (standard error of the proportion)

Given the standard error of the proportion as 0.0400, we can use this value as the margin of error (E). Assuming a 95% level of confidence, the corresponding z-score is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.20 * (1 - 0.20)) / 0.0400^2

Simplifying the equation, we get:

n = (3.8416 * 0.20 * 0.80) / 0.0016

n = 0.61536 / 0.0016

n ≈ 384.6

Therefore, the sample size used in this analysis, representing the number of sales calls Lori made during the month, is approximately 385.

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Lori Jeffrey is a successful sales representative for a major publisher of college textbooks. Historicaly, Lori obtains a book adoption on 20% of her sales calls. Viewing her sales calls for one month as a sample of all possible sales calls, assume that a statistical analysis of the data yields a standard error of the proportion of 0.0400. Use z-table. How large was the sample used in this analysis? That is, how many sales calls did Lori make during the month?

Answer:

The answer is y + 2 >-5

Step-by-step explanation:

um I'm supposed to fill in this part for 20 characters

Answer:

16

Step-by-step explanation:

It's very easy.

4×4=16

The ordered pair representing how much Chang spends in 10 years for bike insurance and new helmets is (x, y) = ($1500, $750),

where x represents the total insurance cost in 10 years and y represents the total helmet cost in 10 years.

To find the amount Change spends in 10 years for bike insurance and new helmets, we'll multiply his annual expenses by 10.

Multiply the annual insurance cost by 10.
$150 (insurance cost per year) × 10 (years) = $1500 (total insurance cost in 10 years)
Multiply the annual helmet cost by 10.
$75 (helmet cost per year) × 10 (years) = $750 (total helmet cost in 10 years)
Write the ordered pair using x for insurance and y for helmets.
(x, y) = ($1500, $750)
(x, y) = ($1500, $750).

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Answer: the amount of space covering the outside of a three-dimensional shape.

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

x+2<-5

x<-5-2

x<-7

The  sum of the vectors u and v is (-1,1).

To find the sum of the vectors u and v, we need to add their corresponding components.

The vector u has initial point (2,0) and terminal point (3,2), which means its components are (3-2, 2-0) = (1,2).

The vector v has initial point (2,2) and terminal point (0,1), which means its components are (0-2, 1-2) = (-2,-1).

To find the sum of these vectors, we simply add their corresponding components:

u + v = (1,2) + (-2,-1) = (1-2, 2-1) = (-1,1).

Therefore, the sum of the vectors u and v is (-1,1).

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Step-by-step explanation:

The data is already in ascending order.

The lower half of the data (120, 140, 160)

has the median 140.

180 is the median of the entire data.

The upper half of the data (200, 220, 240)

has the median 220.

Interquartile Range = 220 - 140 = 80.

The value of the given triple integral is [\frac{7}{52} (e^{13}-1) - \frac{7}{4}.]

We can evaluate the given triple integral using iterated integrals. We first integrate with respect to z, then y, and finally x.

The bounds for z are from 0 to 7x, since ee is bounded by the plane z=0z=0 at the bottom and the plane z=7xz=7x at the top. The bounds for y are from 0 to 3x2y=3x2, since ee is bounded by the parabolic cylinder y=3x2y=3x2. Finally, the bounds for x are from 0 to 1, since the planes y=6xy=6x and y=3x2y=3x2 intersect at x=1.

Therefore, we have:

\begin{aligned} \iiint_E e^{x+4y} dV &= \int_0^1 \int_0^{3x^2} \int_0^{7x} e^{x+4y} dz dy dx \ &= \int_0^1 \int_0^{3x^2} \left[ e^{x+4y} z \right]_0^{7x} dy dx \ &= \int_0^1 \int_0^{3x^2} 7xe^{x+4y} dy dx \ &= \int_0^1 \left[ \frac{7}{4} e^{x+4y} \right]_0^{3x^2} dx \ &= \int_0^1 \frac{7}{4} (e^{13x^2}-1) dx \ &= \left[ \frac{7}{52} e^{13x^2} - \frac{7}{4} x \right]_0^1 \ &= \frac{7}{52} (e^{13}-1) - \frac{7}{4}. \end{aligned}

Therefore, the value of the given triple integral is [\frac{7}{52} (e^{13}-1) - \frac{7}{4}.]

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Answer:

I need your statements please

Step-by-step explanation:

Usando una función lineal, tenemos que:

Con cada año adicional, la cantidad en la cuenta es incrementada en 60.

Una función lineal es modelada por:

y = mx + b

En el cual:

En este problema, hay que la pendiente es de 60, puesto que en cada año la cantidad aumenta en $60, por eso:

Con cada año adicional, la cantidad en la cuenta es incrementada en 60.

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Answer:

B.

Step-by-step explanation:

Brainliest???

Step-by-step explanation:

Option B is the correct answer

Answer:

c. 2

Step-by-step explanation:

The valueof v

-9v - 9 = -27

= -9v = -27 + 9

= -9v = -18

= -9v/-9 = -18/-9

v = 2.

Note: negative will cancel negative.

The correct answer is 2 (C) - 2 days is the total slack for activity F. To determine the total slack for activity F, we need to calculate the slack for each activity in the network. Slack refers to the amount of time an activity can be delayed without affecting the project completion time.

1. First, let's draw the network using the information provided:
  - A is the start node and G is the stop node.
  - Activity A has a duration of 5 days and has no predecessor.
  - Activities B, C, and D have durations of 8, 7, and 6 days respectively, and their predecessors are A.
  - Activity E has a duration of 9 days and its predecessors are B, C, and D.
  - Activity F has a duration of 10 days and its predecessors are B, C, and D.
  - Activity G has a duration of 5 days and its predecessors are E and F.

                 A
                /|\
               / | \
              /  |  \
             B   C   D
              \  |  /
               \ | /
                \|/
                 E
                 |
                 F
                 |
                 G

2. Now, let's calculate the slack for each activity:
  - Slack is calculated by subtracting the earliest start time of an activity from the latest start time without delaying the project completion time.
  - The earliest start time for activity F is 17 days.
  - The latest start time for activity F is 19 days (project completion time is 22 days).
  - Total slack for activity F = latest start time - earliest start time = 19 - 17 = 2 days.

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