point (-1,3) lies in which quadrant ?​

\( \textsf{Angle made by the Semicircle (or) arc subduing} \) \( \textsf{the diameter makes a right angle on the circle. }\)

\( \textsf{Therefore, the angle KLM in the shown figure} \) \( \textsf{will be equal to : } \)

\(\qquad\displaystyle \tt \dashrightarrow \: 90 \degree\)

Answer: 0.08 dollars

Step-by-step explanation:

8.64 divided by 9 = 0.96

0.96 divided by 12 = 0.08

If the chute does not open until 30 seconds after the parachutist leaves the helicopter, the parachutist  will  reach the  ground in 52.7  seconds whereas   If the chute does not open until 1 minute it will reach the ground in 70.3 seconds.

To solve this problem we will be using the equation of motion, which states that the distance the parachutist has traveled is  ut+1/2at^2, where u is the initial velocity,  a is the acceleration and t is the time taken since the acceleration of the parachutist is the force due to gravity m  which   9.8 m/s2  minus the air resistance, which is proportional to the velocity of the parachutist which is 20 kg/s when the chute is closed and 100 kg/s when the chute is open.

for the first case the chute doesn't open until 30 seconds after the parachutist leaves the helicopter,   the equation can be rearranged to solve for the time. Substituting the know values the mass, the  initial velocity, and the acceleration due to gravity  and the air resistance (9.8 m/s2 - 20 kg/s) gives  us the time  52.7 seconds

Similarly, for the  second case, the chute doesn't  open until 1 minute,  here substituting the values for  mass (100 kg), acceleration due to gravity and  air resistance((9.8 m/s2 - 100 kg/s), and the  initial velocity(0 m/s), which gives us the time    70.3 seconds

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Answer:

The answer is 7.1cm to 1d.p

Step-by-step explanation:

Area of square =L²

25=L²

√L²=√25

L=5cm

hyp²=opp²+adj²

x²=5²+5²

x²=25+25

x²=50

√x²=√50

x=7.1cm to 1d.p

Answer:

Step-by-step explanation:

160,150,158,159,160,160,162,165,166,167,170,175

Write the 12 numbers in ascending order:

     150, 158, 159, 160, 160, 160, 162, 165, 166, 167, 170, 175

We need the middle number but there is no middle number:

      150, 158, 159, 160, 160, 160,       162, 165, 166, 167, 170, 175

We have split the numbers into 2 even amounts and there is no number in the middle so we take the middle 2 number and find there average:

      150, 158, 159, 160, 160,      160, 162,      165, 166, 167, 170, 175

Average of 160 and 162 \(=\frac{160+162}{2} =161\).

SOLUTION: Median is 161cm.

Answer:

79 square inches

Step-by-step explanation:

First, let's find the diameter given the circumference.

Next, we know the the radius is half the diameter, so the radius is 5 inches. Now, we can solve the area of the circle.

Therefore, the answer is 79 square inches.

The calculated ratio for the sine the angle A has its value to be 8/17

The ratio for sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle.

This ratio is commonly denoted as sin(θ), where θ is the angle of interest.

Mathematically, we can express this as:

sin(θ) = opposite / hypotenuse

Using the above, we have

opposite = 8

hypotenuse = 17

So, we have

sin(A) = 8/17

Hence, the ratio is 8/17

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Answer:

21

Step-by-step explanation:

15 + (3)2

15 + 6

21

Answer:

24

Step-by-step explanation:

15+x2

= 15 + (3x3)

= 15 + 9

= 24

On solving the provided question we can say that The following is the data table of the function.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

the provided functions that can be formed are

           x            -infinity < x < -10

f(x) =    2x + 10          -10 < x < 10

           4X - 10       10 < x < infinty

The following is the data table of the function.

x              y

-20          -20

-15          -15

-10          -10

-5             0

0              10

5               20

10              30

15              50

20              70

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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.

A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.

Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The following is the data table of the function.

x               y

-20          -20

-15           -15

-10           -10

-5              0

0              10

5              20

10              30

15              50

20             70

The provided functions that can be formed are

\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

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Answer:

sorry

Step-by-step explanation:

Using the Intersecting secants theorem, the length of JK in the given diagram is 17

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

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The center of mass for the system (x, y) is \(\left(\frac{a m+b M}{m+M}, 0\right)\).

What is center of mass?

The unique location where the weighted relative position of the scattered mass adds to zero is known as the center of mass in physics. Here is where a force may be applied to produce a linear acceleration without also producing an angular acceleration.

The center of mass is a position defined relative to an object or system of objects. It is the average position of all the parts of the system, weighted according to their masses.

Centre of mass is

\(x=\frac{m a+M b}{m+M}\)

and y=0

\((x, y)=\left(\frac{a m+b M}{m+M}, 0\right)\)

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Answer:

Sorry, I don't know how to calculate your input.

Step-by-step explanation:

Sorry, I don't know how to calculate your input.

The number of centilitres which is equivalent to 0.00005 liters as required to be expressed in standard form is; 5 × 10-² cL.

Recall that; it follows from metric systems that;

100 centilitres = 1 litres.

On this note, it follows from proportion that the number of centilitres present in 0.00005 litres as required is;

= 0.00005 × 100 centilitres

= 0.005 centilitres.

Ultimately, when expressed in standard form, it follows that the number of centilitres in 0.00005 liters is; 5 × 10-² cL.

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Okay, here are the steps to find the p-value:

1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)

2) The test statistic for Georgia is 1.75

3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.

4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).

5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)

6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.

7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.

So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.

Let me know if you have any other questions!

Okay, here are the steps to find the p-value:

1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)

2) The test statistic for Georgia is 1.75

3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.

4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).

5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)

6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.

7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.

So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.

Let me know if you have any other questions!

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

Answer:

B.

Step-by-step explanation:

=3.3999

Step-by-step explanation:

here's the answer to your question

Answer:

A = 14 in²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

Here b = 7 and h = 4 , then

A = \(\frac{1}{2}\) × 7 × 4 = \(\frac{1}{2}\) × 28 = 14 in²

They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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a) R=kL/d² is an equation that expresses this joint variation.

b) The constant of proportionality if a wire 1.4 m long and 0.005 m in diameter has a resistance of 150 ohms is 1/560.

c) The resistance of a wire made of the same material that is 4 m long and has a diameter of 0.008 m is 111.60 ohms.

d) If the diameter is doubled and the length is tripled, by 3/4 factor the resistance changed.

a) The equation that expresses this joint variation is R=kL/d²

Since R is directly proportional to L and inversely proportional to d².

Then the equation of variation is:

R=kL/d² Where k is constant

L is the Length and d is the diameter.

b) To find the constant of proportionality set R=100 ohms, L=1.4m, d=0.005m in the equation

100=k(1.4)/(0.005)²

100=56000 k

k=100/56000

k=1/560  

c) R = 4(1/560)/0.008².

R=0.0071428/0.000064

R=111.60ohms

d) R = kL/d²

R = (1/560) × (3L)/(2d)² = (1/560) × 3L/ 4d²

R=(3/4) × (1/560) × L/d²

The resistance is changed by a factor of 3/4

So doubling the diameter and tripling the length causes reduces the resistance to 3/4 of the normal.

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Answer:

D

Step-by-step explanation:

Point B is (-2,3) then it is shifted (x, y+4)

so, x remains the same by y goes up 4 units

-2,7

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

Explanation:

The set of natural numbers is {1,2,3,4,...} aka the set of positive whole numbers.

Consecutive natural numbers follow one right after another, like with that example above or something like 7,8,9,...

Since B follows right after A, this means B = A+1. Similarly, C = B+1 = (A+1)+1 = A+2 because C follows right after B.

So we have

In other words, we have the sequence A,A+1,A+2 to replace the sequence A,B,C in that order.

-----------------------

The reciprocal of A is 1/A. Taking 2/7 of this gets us 2/(7A). This result is equal to 1/3 of the reciprocal of C, so,

2/(7A) = 1/3 of 1/C

2/(7A) = 1/(3C)

2/(7A) = 1/(3(A+2))

2/(7A) = 1/(3A+6)

------------------------

Let's cross multiply and solve for A

2/(7A) = 1/(3A+6)

2(3A+6) = 7A*1

6A+12 = 7A

12 = 7A-6A

12 = A

A = 12

Therefore, B = A+1 = 12+1 = 13 and C = A+2 = 12+2 = 14

The sequence A,B,C updates to 12,13,14.

------------------------

Check:

A = 12

reciprocal of A = 1/A = 1/12

D = 2/7 of reciprocal of A = (2/7)*(1/12) = 2/84 = 1/42

C = 14

reciprocal of C = 1/C = 1/14

E = 1/3 of the reciprocal of C = (1/3)*(1/14) = 1/42

Items D and E are equal, so it confirms we have the correct answer.

Answer:

• Best Buy

• Their selling price is lower

Explanation:

The original price of the TV = $380.

BestBuy

If Best buy marked down the TV by 50%

Then the selling price of the TV will be:

The selling price at BestBuy will be $190.

Walmart

Walmart marked down the TV by 30%

There was also an additional 20% off.

The selling price at Walmart is $212.80

Therefore, Luigi should buy from BestBuy since they have a lower selling price of $190.

Answer:

Step-by-step explanation:

Comment

The formula for density is D = m/V

Therefore the units of density is

Density = grams/cm^3

An expression for given sequence of operations is: j + 3^9

In this question, we need to write an expression for the sequence of operations described below.

raise 3 to the 9th power, then add the result to j

Consider the part of given statement,

raise 3 to the 9th power

We write this as: 3^9

then we add this result to j.

So, we get an expression: 3^9 + j

Therefore, an expression for given sequence of operations is: j + 3^9

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Answer:

3/4 cups of water

Step-by-step explanation:

If there are 1/3 cup of milk for 1/4 cup water that means that if you make the denominator the same which would make 4/12 cup milk and 3/12 cup of water and add 3/12 +3/12+3/12 you get 9/12 which is 3/4 cups. adding 3/12 three times because it is 1/3 cup milk.

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=3\\ k=-10\\ \end{cases}\implies y=a(~~x-3~~)^2 + (-10)\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=8 \end{cases} \\\\\\ 8=a(~~0-3~~)^2 + (-10)\implies 8=9a-10\implies 18=9a\implies \cfrac{18}{9}=a \\\\\\ 2=a\hspace{7em}y=2(~~x-3~~)^2 + (-10)\implies \boxed{y=2(x-3)^2-10}\)

The median requires that we type the numbers in ordered form:

23, 32, 47, 48, 58, 63, 64, 65, 72, 83, 89, 90, 94, 98, 100

therefore, the median is: 65

which is the point that has to the left as many other elements as it has to the right.

Could you please try the answer in your computer?