Reflect the point (-9,7) across the y -axis:

Answer:

4(x+3)²+4

Step-by-step explanation:

4x²+24x+40=0

using the equation above

a:4 b:24 c:40

4(x+(24÷2x4))² + (40-(24²÷4x4))

4(x+3)²+(40-36)

4(x+3)²+4

The surface area of the cylinders are 565.2 square yards and  395.64 square cm

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

S = 2πr(r+h)

where

r is the radius

h is the height

1) Given that r = 6yd and h = 9yd

S = 2(3.14)6(6+9)

S = 565.2 square yd

Hence the surface area of the cylinder is 565.2 square yards

2) Given that r = 3cm and h = 18cm

S = 2(3.14)3(3+18)

S = 395.64 square cm

Hence the surface area of the cylinder is 395.64 square cm

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Answer: $0.65

Step-by-step explanation:

Amount for the magazine in a regular newsstand for one year:

1.95*12=$23.4

Amount saved per issue with subscription:

(23.4-15.60) ÷ 12 = $0.65 per issue is saved with a subscription

Solution

Step 1:

Write the logarithm function

Step 2:

Base = a

Exponent = 4

Hence

Final answer

Step-by-step explanation:

The probability that a person who is diagnosed with the disease actually has it is 97%.

This is because 97% of the affected population has the disease, and only 2% of the healthy population shows a positive result.

Therefore, if a person is diagnosed with the disease, there is a 97% chance that they actually have it, and only a 3% chance that the test was false-positive.

Answer:

Step-by-step explanation:

Step one:

given

paint set= $43.50

20% off 43.50

20/100*43.50

0.2*43.50

=$8.7

43.5-8.7

new price of paint set=$34.8

canvas=$12.75

15% off 12.75

15/100*12.75

0.15*12.75

=1.9125

=12.75-1.9125

new price of canvas=$10.83

paint brushes are $7.50

15% off $7.5

15/100*7.5

0.15*7.5

=1.125

=7.5-1.125

new price of paint brush=$6.38

total =$34.8+$10.83+$6.38= $39.25

Answer:

actually the answer is 52

Step-by-step explanation:

20% x 43.50/100 = 34.8

12.75 x 15% /100 = 10.83

7.50x 15%/100 = 6.37$

Add all of them together and you will get 52$

Easiest way to do it

20% x 43.50/100

12.75 + 7.50 = 20.25

20.25 x 15%/ 100 = 3.03

20.25 - 3.03 = 17.21

Then add all of them together and you will still end up with about 52$

17.21 + 34.8 = 52

The actual distance of 6 cm, given the scale of the map, would be 30 km .

The distance on the map, given the actual distance on the ground and the scale, would be 6 inches .

The scale is that for every 1 cm on the map, the actual distance is 5 kilometers. When given 6 cm therefore, the actual distance is :

= 6 x 5

= 30 km

The scale of the second map is such that 1 inch on the map is 3 actual kilometers so 18 km on the ground would be :

= 18 / 3

= 6 inches

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Step-by-step explanation:

let width = w then length, l = 2w + 6

\(2w + 2(2w + 6) = 120\)

a rectangular garden has two pairs of equal parallel sides 2w and 2l. here we multiply 2 by the width and 2 by the length which is given as 6 more than twice the width or 2w + 6. we then add these sides to get 120

\(2w + 2(2w + 6) = 120 \\ 2w + 4w + 12 = 120 \\ 6w + 12 = 120 \\ 6w + 12 - 12 = 120 - 12 \\ 6w = 108 \\ \frac{6w}{6} = \frac{108}{6 } \\ w = 18\)

check

\( width = w = 18\\ length \: l = 2w + 6 = 2(18) + 6 = 42\\ w + w + l + l = 120\\ 2w + 2l = \\ 2(18) + 2(42) = \\ 36 + 84 = 120\)

Answer: Exact Form:

−19

Decimal Form:

−0.¯1

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

rude people delete meh answers

rude the answer is b

thank u very much now i must b on my way

Answer:

Its B

Step-by-step explanation:

Because the first one is correct give the credit to her.

The function is not one to one function.

What is one to one function?

A function f(x) is sait to be one to one function if it satisfies the following two conditions:

(1) \(f(x_1)=f(x_2)\) implies \(x_1=x_2\).

(2) ∀\(x_1\), ∀\(x_2\), \(x_1\ne x_2\) implies that \(f(x_1) \ne f(x_2)\).

It means that there is only one value for each value of the variable x.

Now, consider the given function.

\(2(x-1)^2+3=f(x)\)

If it is one to one function then it must satisfy the above two conditions.

Lets check the first condition. Substitute 3 for x.

\(2(3-1)^2+3=f(3)\\11=f(3)\)

Again, substitute -1 for x.

\(2(-1-1)^2+3=f(-1)\\11=f(-1)\)

Hence at two different values of x the function have the same value.

In this case, f(-1)=f(3) but \(-1 \ne 3\). Hence, it do not satisfy the first condition.

Hence, the given function is not one to one function.

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So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

1/7

Step-by-step explanation:

&&5_4_&&&&&&&&&&&&&---

That sentence tells us that when you add 9 to Craig's age, the answer is 41 therefore you are simply adding those two and you'll get the equation:

\(c\ +\ 9\ =\ 41\)

Descriptive statistics summarize numbers and inferential statistics determine whether the results are significant.

What is statistics?

The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

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The calculated value of x in the similar shapes given that abcd ∼ efgh is 15

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

abcd ∼ efgh

By the corresponding ratio of similar shapes, we have the following equation

AB/AD = EF/EH

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

8/14 = (x - 3)/(x + 6)

Cross multiply the equation

This gives

8(x + 6) = 14(x - 3)

When solved for x, we have

x = 15

Hence, the value of x in the shapes is 15

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200 pounds of soybean meal which is 14% protein and 80 pounds of cornmeal which is 7% protein should be mixed together in order to get a 280-pound mixture that is 12% protein.

To solve the problem, we will use a system of linear equations by letting:

Let x be the number of pounds of soybean meal

Let y be the number of pounds of cornmeal

The first equation represents the total weight of the mixture:

x + y = 280

The second equation represents the total amount of protein in the mixture:

0.14x + 0.07y = 0.12(280)

Simplifying the second equation:

0.14x + 0.07y = 33.6

To solve for x and y, we can use the substitution method.

Substitute x = 280 - y into the second equation:

0.14(280 - y) + 0.07y = 33.6

Simplify and solve for y:

39.2 - 0.14y + 0.07y = 33.6

-0.07y = -5.6

y = 80

Therefore, we need 80 pounds of cornmeal.

Substitute y = 80 into x + y = 280:

x + 80 = 280x = 200

Therefore, we need 200 pounds of soybean meal.

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The sampling method is not appropriate because the sample it produces is not guaranteed to be of the required size. Option B

The procedure outlined in the scenario involves assigning each case in the population a random number between 0 and 10, and only including that case in the sample if that number is 0. However, this method does not guarantee that the sample size will be 100 as required. The likelihood that exactly 10% of the cases will have a random number of 0 is actually extremely slim.

This sampling technique also creates bias. The sample will not be representative of the population if it only includes cases with a random number of 0, and some cases will have a disproportionately larger chance of being included.

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Answer:

U did not add a picture but if u do I will help.

Step-by-step explanation:

It should be 8 to the right and 12 to the left which should end at -4

Answer:

The answer is 4?? tell me if it's wrong or not.

Answer:

False

Step-by-step explanation:

Answer:

Quadratic

Step-by-step explanation:

The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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Answer:

0.4

Step-by-step explanation

2/0.15+x/0.06=x+2/0.12

30=x/0.12+2/0.12

1.6+2x=x+2

x=0.4

what is the question you want 12 or 13

To find the sum of the series ∑=1[infinity](−9)x, we first need to determine whether the series converges or diverges. We can use the ratio test to do this. Therefore, the sum of the series ∑=1[infinity](−9)x is (-9)x / (1 - x), provided that |x| < 1.

The ratio test states that for a series ∑an, if the limit of |an+1/an| as n approaches infinity is less than 1, then the series converges. If the limit is greater than 1 or does not exist, then the series diverges.

Applying the ratio test to our series, we get:

|(-9)x(n+1) / (-9)x(n)| = |x(n+1) / x(n)|

As x is a constant, this simplifies to:

|x(n+1) / x(n)| = |x|

Since |x| is a constant, the limit of |x(n+1) / x(n)| as n approaches infinity is also |x|. Therefore, if |x| < 1, the series converges, and if |x| ≥ 1, the series diverges.

Assuming that |x| < 1, we can then find the sum of the series using the formula for an infinite geometric series:

S = a / (1 - r)

where a is the first term of the series and r is the common ratio. In this case, a = (-9) x and r = x.

Substituting these values into the formula, we get:

S = (-9)x / (1 - x)

Therefore, the sum of the series ∑=1[infinity](−9)x is (-9)x / (1 - x), provided that |x| < 1.

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Answer:

Step-by-step explanation:

The equation is y=7x

x      y          Calculation

5     35         y=7x, y=7*5, y=35

6     42         y=7x, y=7*6, y=42

7      49       y=7x, y=7*7, y=49

8     56          y=7x, y=7*8, y=56

To prove that e(h) has a minimum at h = 3€/M, we need to first understand the terms involved. The upper bound for total numerical error E h2 eh) + M h 6 refers to the maximum possible error in a numerical computation.

It includes two types of error: the truncation error (E h2) which results from approximating a mathematical function using a finite number of terms, and the round-off error (eh) which results from the limited precision of computer arithmetic.
The numerical error e(h) is a function of the step size h used in numerical approximations. It is given by e(h) = E h2 + M h 6 + eh.
Now, to prove that e(h) has a minimum at h = 3€/M, we can take the derivative of e(h) with respect to h and set it to zero.
de(h)/dh = 2Eh - Mh5 + eh'
Setting this equal to zero, we get:
2Eh - Mh5 + eh' = 0
Rearranging and solving for h, we get:
h = (2E/Me')^(1/4)
Substituting this value of h in e(h), we get:
e(h) = (4/3)^(3/4) * (EM)^(1/4) * eh'
Since eh' is a constant, e(h) is minimized when EM is minimized.
Therefore, we need to find the minimum value of EM, which is achieved when h = 3€/M.
Thus, we can conclude that e(h) has a minimum at h = 3€/M.

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Answer:

It's B

Step-by-step explanation:

I took the quiz and I'm just good at math.

The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

a) Here the area of the parallelogram determined by d and e is given as 10. The area of the parallelogram is given as `|d×e|`.

We have,

d=(2,4)

and e=(4k,3k)

Then,

d×e= (2 * 3k) - (4 * 4k) = -10k

Area of parallelogram = |d×e|

= |-10k|

= 10

As we know, area of parallelogram can also be given as,

|d×e| = |d||e| sin θ

where, θ is the angle between the two vectors.

Then,10 = √(2^2 + 4^2) * √((4k)^2 + (3k)^2) sin θ

⇒ 10 = √20 √25k^2 sin θ

⇒ 10 = 10k sin θ

∴ k sin θ = 1

Therefore, sin θ = 1/k

Hence, the value of k is 1.

Part(b) The volume of the parallelepiped determined by vectors a, b and c is given as,

| a . (b × c)|

Here, a=(1,1,2),

b=(5,3,λ), and

c=(4,4,0)

Therefore,

b × c = [(3 × 0) - (λ × 4)]i + [(λ × 4) - (5 × 0)]j + [(5 × 4) - (3 × 4)]k

= -4i + 4λj + 8k

Now,| a . (b × c)|=| (1,1,2) .

(-4,4λ,8) |=| (-4 + 4λ + 16) |

=| 12 + 4λ |

Therefore, the volume of the parallelepiped is 12 + 4λ.

Part(c) The vector component of a + c orthogonal to c is given by [(a+c) - projc(a+c)].

Here, a=(1,1,2) and

c=(4,4,0).

Then, a + c = (1+4, 1+4, 2+0)

= (5, 5, 2)

Now, projecting (a+c) onto c, we get,

projc(a+c) = [(a+c).c / |c|^2] c

= [(5×4 + 5×4) / (4^2 + 4^2)] (4,4,0)

= (4,4,0.5)

Therefore, [(a+c) - projc(a+c)] = (5,5,2) - (4,4,0.5)

= (1,1,1.5)

Therefore, the vector component of a + c orthogonal to c is (1,1,1.5).

Conclusion: The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).

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Answer: 5x4x8x4x5x2x6x8x1

Step-by-step explanation:

Answer:

32 Square centimeters

Step-by-step explanation:

You have to seperate the shape into triangles and rectangles. if you do this, you get 2 identical triangles and 2 different rectangles. one of the rectangles is 8 square cm, the other is 12. you can see that the base of each of the 2 triangles is 3 cm long. 2 halves=1 whole, so the 2 triangles turn into 1 rectangle. therefore, you have to add 12+12+8. That is 32 square centimeters.

Hope my answer helped!