in the figure m<1 = (5x+4), m<2 = (6x-6) and m<3 = 10x+12) what is m<3, in degrees?

Answer:

A) 7.5 feet, B) 6 feet, C)8.25 feet, D)4.875, E)15 feet, F)12.5 feet

Step-by-step explanation:

per inch, multiply by 1.5

Answer:

15

12

16.5

9.75

30

25

Step-by-step explanation:

The scale on a set of architectural drawings for a house is 1/2 inch = 1.5 feet. Find the length of each part of the house.

In my opinion, the easiest way to do this is to find how many feet equals 1 inch so that it is easier to multiply.

Multiply both sides of 1/2 inch = 1.5 feet to get

1 inch = 3 feet.

If every inch in the drawing equals 3 feet, then we can write this equation:

If s inches = 3s feet

We can use this a substitute the values given.

Now, let's dive into the problem.

1. Living room:

in this part, s=5, so 3s feet = 3 * 5 = 15 feet

2. Dining room:

s = 4, so 3s feet = 3 * 4 = 12 feet

3. Kitchen:

s = 5.5, so 3s feet = 3 * 5.5 = 16.5 feet

4. Laundry room:

s = 3.25, so 3s feet = 3 * 3.25 = 9.75 feet

5. Basement:

s = 10, so 3s feet = 3 * 10 = 30 feet

6. Garage

s = 8 + 1/3, so 3s feet = 3 * 8 1/3 = 25 feet

I hope this helps! Feel free to ask any questions!

Answer:

1 foot

Step-by-step explanation:

1 1/2 = 3/2

2/3*3/2 = 1

Answer:

1 foot of rope.

Step-by-step explanation:

For this problem, we need to find 2/3 of 1 ½. 1 ½ equals 3/2. Since the word "of" means multiply, we multiply 3/2 by 2/3. When we do this, we get 1. This means Paige needs 1 foot of rope. I hope this helps!

The statement A confidence interval for proportions is used to estimate the population proportion not the sample proportion is true.

A confidence interval for proportions is a statistical tool used to estimate the range of values within which the population proportion is likely to lie. It is calculated based on the sample proportion, sample size, and a specified level of confidence.

The sample proportion is only used as a point estimate of the population proportion, but the confidence interval takes into account the variability of the sample proportion and provides a range of values that are likely to include the population proportion with a certain level of confidence.

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Answer:

ab means a multiplied by b, a(b+c) means add b and c together, then multiply by a, and (a+b)(c+d) means first add a and b

Step-by-step explanation:

ab means product, a(b+c) means product of a and sum of b & c and (a+b)(c+d) product of sum of a & b and c & d.

The result of multiplying two or more numbers together is the sum. The product of two or more numbers is what results from multiplication.

In mathematics, "ab" typically represents the product of two numbers, a and b.

"a(b+c)" represents the product of a and the sum of b and c, where a, b, and c are numbers.

"(a+b) (c+d)" represents the product of the sums of a and b and the sums of c and d.

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In a first-order all-pass filter, the transfer function in the Laplace domain can be represented as H(s) = (s - z) / (s - p), where 'z' represents the zero and 'p' represents the pole of the filter. To understand why the pole and zero locations must be symmetrical with respect to the jω axis (imaginary axis), let's examine the filter's frequency response.

When analyzing a filter's frequency response, we substitute s with jω, where ω represents the angular frequency. Substituting into the transfer function, we get H(jω) = (jω - z) / (jω - p). Now, consider the magnitude of the transfer function |H(jω)|.

If the zero and pole are not symmetric with respect to the jω axis, then their distances from the axis would differ. As a result, the magnitudes of the numerator and denominator in the transfer function would not be equal for any given ω. Consequently, the magnitude response of the filter would be frequency-dependent, introducing gain or attenuation to the signal.

To maintain the all-pass characteristic, which implies that the filter only introduces phase shift without changing the magnitude of the input signal, the pole and zero must be symmetrically positioned with respect to the jω axis. This symmetry ensures that the magnitude response is constant for all frequencies, guaranteeing an unchanged magnitude but only a phase shift in the output signal, fulfilling the all-pass filter's purpose.

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=13+18-3

=31-3

=28

the answer is 28

Answer:

28

Step-by-step explanation:

According to Order of Operations rules, we must multiply here before adding or subtracting.

In 7 +6 - 9(-2) + (-3) the very first thing we must do is to evaluate the product -9(-2).  This comes out to 18, so now we have:

7+6 + 18 +(-3).

Next, remove the remaining parentheses, obtaining:

7 + 6 + 18 - 3, or

  13    +    15              =     28

The radius of the hemisphere is approximately 5.7 inches.

The volume of a hemisphere is given by the formula:

V = (2/3)πr³

V is the volume of the hemisphere and r is the radius.

We are given the volume of the hemisphere as 885 in³.

Solving for r we get:

r = \([(3V)/(2\pi)]^{(1/3)\)

Substituting V = 885 in³, we get:

r = \([(3 \times 885)/(2\pi)]^{(1/3)\)

≈ 5.7 inches (rounded to the nearest tenth)

The radius of the hemisphere is approximately 5.7 inches.

The formula: gives the volume of a hemisphere.

V = (2/3)πr³

r is the radius and V is the hemisphere's volume.

The hemisphere's size is specified as 885 in3.

When we solve for r we get:

r = \([(3V)/(2\pi)]^{(1/3)\)

With V = 885 in3 we obtain:

r = [(3 x 885)/(2π)](Rounded to the nearest tenth) (1/3) 5.7 inches

As a result the hemisphere's radius is around 5.7 inches.

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Answer:

35 hotdogs and 52 sodas sold.

Step-by-step explanation:

x = the number of hotdogs sold, x>0

y = the number of sodas sold, y>0

At the end of the night you made a total of $78.50:

1.50x + 0.50y = 78.50

You sold a total of 87 hotdogs and sodas combined:

x + y = 87

We have the following system of equations:

1.50x + 0.50y = 78.50

x + y = 87

Answer:

v = 9x9x0.5x5 = 202.5 ft^3

Step-by-step explanation:

Answer:

The question ain't clear

Answer: f(y) = (Cot(y) + 2/3)*(4/3)

Step-by-step explanation:

We have the function:

y = Arccot( 3*x/4 - 2/3)

And we want to find the inverse, then we must isolate x in the right side.

Applying cot( ) to both sides, we get

Cot( y) = Cot(Arccot( 3*x/4 - 2/3)) = 3*x/4 - 2/3

Cot(y) = 3*x/4 - 2/3

Cot(y) + 2/3 = 3*x/4

(Cot(y) + 2/3)*(4/3) = x

Then the inverse function is:

f(y) = (Cot(y) + 2/3)*(4/3)

Answer:

12x⁷

Step-by-step explanation:

(3x³)(4x⁴)
(3 times 4)x³+⁴
12x⁷

Answer:

Easy.......................B.

Step-by-step explanation:

I think that it is B

Answer:

3x²

= 3(10)²

= 3(100)

= 300

Step-by-step explanation:

Answer:

just use algebraic expression

Answer:

s >= 150 and h>= 52

Step-by-step explanation:

1. 129 mph < S mph

2. h > 50 inches

Answer:

Step-by-step explanation:

linear eq. is of first degree.

x²+x+3=0

it is of degree 2 so it is non linear.

Answer:

choice 4

Step-by-step explanation:

Answer:

  (-3 + 5 i) (1) = (-3 + 5 i)

Step-by-step explanation:

The multiplicative identity property says you can multiply anything by 1 without changing its value. That is demonstrated by the equation above.

Answer:

EDGE2020 is B

Answer:

8

Step-by-step explanation:

If you plug in the answers it will give you 9x6= 54 which is wrong and 9x7=63 and 9x9=81 but 9x8=72.

Answer:

C   length = 8

Step-by-step explanation:

Area of Rectangle = lw

A = lw    Substitute l = (2x + 4) ; w = 9

72 = (2x + 4)9

72 = 18x + 36

36 =        -36

36 = 18x

36/18 = x

 2 = x

 Substitute into l = 2x + 4 ; l = 2(2) + 4; l = 4 + 4 ; l = 8

Answer:

\(12\) cm

Step-by-step explanation:

If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!

A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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Answer: Choice D

181 grams

======================================================

Explanation:

First we need to find the volume of the tennis ball

Since the diameter is d = 6 cm, it divides in half to a radius of r = 3 cm.

\(V = \text{volume of a sphere}\\\\V = \frac{4}{3}\pi*r^3\\\\V \approx \frac{4}{3}*3.14*3^3\\\\V \approx 113.04 \ \text{ cm}^3\\\\\)

This leads to

\(\text{density} = \frac{\text{mass}}{\text{volume}}\\\\D = \frac{M}{V}\\\\M = D*V\\\\M \approx 1.6*113.04\\\\M \approx 180.864\\\\M \approx 181 \text{ grams}\\\\\)

Answer:

B.x= -4 and E. x= 10 are the answers

The height of the shorter building is approximately 5.54 meters, and the height of the taller building is approximately 11.22 meters.

Let's denote the height of the shorter building as "h1" and the height of the taller building as "h2". We can then use trigonometry to set up two equations using the information given in the problem:

Firstly, from the angle of depression, we can see that the angle between the horizontal and the line from the top of the shorter building to the base of the taller building is 53 degrees. This means that the angle between the line from the top of the shorter building to the top of the taller building and the horizontal is (90 - 53) = 37 degrees.

Secondly, we can use the tangent function to relate the heights of the two buildings to the angle of elevation and the horizontal distance between them. Specifically, we have

tan(44) = (h2 - h1) / 18.0

And we can rearrange this equation to get

h2 - h1 = 18.0 × tan(44)

Now, using the fact that the angle between the line from the top of the shorter building to the top of the taller building and the horizontal is 37 degrees, we can use the tangent function again to relate the heights of the two buildings to the angle of depression and the horizontal distance between them. Specifically, we have

tan(37) = h2 / 18.0

And we can rearrange this equation to get

h2 = 18.0 × tan(37)

Now we can substitute this expression for h2 into the previous equation to get

h1 = h2 - 18.0 × tan(44)

= 18.0 × tan(37) - 18.0 × tan(44)

Plugging this into a calculator, we get

h1 ≈ 5.54 m

h2 ≈ 11.22 m

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The series [infinity] xn n! n = 0 converges for all real values of x.

The given series [infinity] xn n! n = 0 is a power series with terms xn n! n. To determine the values of x for which the series converges, we can use the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges. Let's apply the ratio test to the given series:

lim┬(n→∞)⁡〖|(x(n+1)(n+1)!)/(xn n!)|〗

Simplifying the expression:

lim┬(n→∞)⁡〖|(x(n+1))/(xn)| * 1/(n+1)|〗

As n approaches infinity, the ratio x(n+1)/xn approaches x/x = 1. Additionally, the term 1/(n+1) approaches 0. Therefore, the limit simplifies to:

lim┬(n→∞)⁡〖|1 * 0| = 0|〗

Since the limit is less than 1, the ratio test confirms that the given series converges for all real values of x.

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Answer: 162

Step-by-step explanation:

so you will have to do 62+28+75=162

15 member enjoy both dancing and hiking.

The likelihood of the preceding event is multiplied by the probability of the subsequent, or conditional, occurrence to determine the conditional probability. Conditional probability examines the likelihood that one event will occur given the likelihood that a related event will occur beforehand.

We have,

Member enjoy dancing, n(D) = 62

Member enjoy hiking, n(H) = 28

Member enjoy dancing or hiking, n(D ∪ H) = 62

Using Conditional probability

n (D ∪ H) = n(D) + n(H) - n (D ∩ H)

75 = 62 + 28 - n (D ∩ H)

75 - 90 = - n (D ∩ H)

n (D ∩ H) = 15

Thus, 15 member enjoy both dancing and hiking.

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We are given a triangle such that two line segments are drawn as medians:

A meadian line has three points that are off importance as follows:

Hence, using the above information we can extract that:

We can also use the properties of median length that states:

The ratio of the above two lengths for any median line of a triangle remains true for:

This means that the line segment from centroid to bisection ( mid ) point of the opposite side is shorter than the preceeding length; hence, the ratio is ( 2 : 1 ).

We are given the length of the line segment MA the larger part of the median line:

We can use the property of ratio of lengths for the median lines and determine the length of the smaller part of the median line as follows:

From the above property we determined the length of the shorter line segment. Now we have lengths for the both constituent line segments of median line ( MX ). We can simply sum the individual lengths as follows:

Hence, the answer is: