Find the value of x. Round to the nearest degree.
A right triangle is drawn with an angle that is labeled x degrees. The leg opposite of the labeled angle is 7. The hypotenuse is 9.

Answer:

The expected growth is 17.2%

Step-by-step explanation:

Let us have a present initial value of 500

we then proceed to get the value after 4 years

We use the compound interest formula to get the amount

That will be;

A = P( 1 + r/n)^nt

P = 500

r = 4% = 4/100 = 0.04

n is 2: semi annually means twice per year

t is 4

So

using the formula, we have that;

P = 500(1 + 0.04/2)^(2 * 4)

= 500(1.02)^8

= 586 approximately

So the percentage growth rate is as follows

(586-500)/500 * 100

= 86/500 * 100 = 17.2%

Answer: 0,-6

Step-by-step explanation:

Midpoint Formula x1+x2/2, y1+y2/2

-3+3= 0/2=0    -7+(-5)= -12/2 = -6

0,-6

The surveyor is interested in learning additional information about a segment of the general population. Numerous research projects call for particular interest groups to make decisions in light of their findings. This group of individuals is referred to as a sample.

What Exactly Is a Sample?

An easier-to-manage portion of a bigger group is referred to as a sample. It is a subset of individuals that shares traits with a wider population.

                                 In statistical testing, samples are utilized when population sizes are too vast for all potential participants or observations to be included in the test.

What does a research sample mean?

Sampling is the process of choosing a portion of the target population for a research project.

                                 In the vast majority of research projects, it is impossible to recruit the involvement of the entire population of interest, hence data gathering depends on a smaller group.

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Answer:

1 meter

Step-by-step explanation:

Okay so, all sides of a square are equal right? And is one side is 1 meter, then all of the sides are 1 meter. Your multiplying one by itself, making the answer pretty easy to find out.

The LC connector is a duplex fiber-optic connection.

The duplex fiber-optic connection among the options provided is the LC connector. The LC connector is a small form-factor connector commonly used in fiber-optic networks. It features a push-pull design and is used for both single-mode and multimode fibers. The LC connector allows for duplex connections, meaning it supports bidirectional communication over a single fiber by utilizing separate transmit and receive channels. The other options mentioned, RJ-45, ST, and SC connectors, are not specifically designed for duplex fiber-optic connections. RJ-45 is commonly used for Ethernet connections, while ST and SC connectors are more commonly used for simplex (single-direction) fiber-optic connections.

Complete Question:

Which of the following is a duplex fiber-optic connection?

RJ-45

LC

ST

SC

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Answer:milli,cent, meter , kilo

Step-by-step explanation:

Answer:

Binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" (zero) and "1" (one). The base-2 numeral system is a positional notation with a radix of 2.

Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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Answer:

C yes, one to one

Step-by-step explanation:

for every different value of age there is one specific function result.

f(age) = summer camp group, age in N, 6 <= age <= 8

this function is therefore not defined for ages outside of that interval, or if not natural numbers.

under these criteria every allowed value of age has a different calculated summer camp group. no two values of age have the same result as summer camp group.

therefore, it is a one-to-one function.

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

Answer:

It should be a reflection.

Step-by-step explanation:

A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane.

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let \(x\cdot y = 18\), we get an additional equation by implicit differentiation:

\(x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0\) (1)

From the first equation we find that:

\(x = \frac{18}{y}\) (2)

By applying (2) in (1), we get the resulting expression:

\(\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0\) (3)

\(y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}\)

\(\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}\)

If we know that \(y = 6\) and \(\frac{dy}{dt} = 8\), then the first derivative of x in time is:

\(\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)\)

\(\frac{dx}{dt} = -4\)

From (1) we determine the value of x at this instant:

\(x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}\)

\(x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)\)

\(x = -6\cdot \left(\frac{-4}{8} \right)\)

\(x = 3\)

The value of x at this instant is 3.

The value of \(x\) at the instant when particle moves on the hyperbola \(xy=18\) from time \(t\geq 0\;\rm seconds\) is \(3\).

Differentiating the given equation  \(xy=18\) with respect to the \('t'\) to get an addition equation by  implicit differentiation,

\(x\dfrac{dy}{dt}+y\dfrac{dx}{dt}=0----(i)\)

Also, from the given equation, we can write \(x=\dfrac{18}{y}\)

Substitute the value of \(x\) in the equation (i), we get

\(\begin{aligned}\dfrac{18}{y}\dfrac{dy}{dt}+y\dfrac{dx}{dt}&=0\\\dfrac{dx}{dt}&=-\dfrac{-18}{y^2}\dfrac{dy}{dt}\end{aligned}\)

Substitute the value of \(y=6\) and \(\dfrac{dy}{dt}=8\) in the above equation, we get

\(\begin{aligned}\dfrac{dx}{dt}&=-\dfrac{-18}{y^2}\dfrac{dy}{dt}\\&=\dfrac{-18}{6^2}\times 8\\&=-4\end{aligned}\)

Now, from equation (i), we can re-write the expression to evaluate the value of \(x\) at that instant as-

\(x=-y\dfrac{\frac{dx}{dt}}{\frac{dy}{dt}}\\x=-6(\dfrac{-4}{8})\\x=3\)

Hence, the value of \(x\) at the instant when particle moves on the hyperbola \(xy=18\) from time \(t\geq 0\;\rm seconds\) is \(3\).

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Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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Answer:

Step-by-step explanation:

23 - (-2)

= 23 + 2

= 25

1) The mistake you made was to subtract 2 from 23 instead of  subtracting -2 from 23.

2) Keep in mind the difference between the '-'  used as a subtraction and the '-' used for indicating a negative number.

If you like, remember the mantra ' 2 negatives make a '+'.:-

2 - -4

= 2 + 4= 6.

The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

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Answer:

The value of variable x = 12

Step-by-step explanation:

Given:

Given triangle is an equilateral triangle

Side of given triangle = 10 unit

Angle S = 5x°

Find:

The value of variable x

Computation:

We know that each angle of an equilateral triangle is 60°

So,

Angle S = 60

By putting value of angle S

5x = 60

The value of variable x = 60 / 5

The value of variable x = 12

Answer: 9

Hope this helps

Answer:

9

Step-by-step explanation:

Answer: x=11

Step-by-step explanation:

\(1.5x+3=3(1.5x-10)\\Distribute\\1.5x+3=4.5x-30\)

Subtract 3 from both sides

\(1.5x=4.5x-33\)

Now subtract 4.5x from each side

\(-3x=-33\\Divide\\x=11\)

Answer:

11

Step-by-step explanation:

1.5x+3=3(1.5x-10)

1.5x+3=4.5x-30

4.5x-1.5x-30=3

3x-30=3

3x=3+30

3x=33

x=33/3

x=11

Answer:

(x-8, y-10)

Step-by-step explanation:

For this question, it is easier to focus on one point.

Point H, or any other point in the triangle goes 8 units to the left and 10 units down.

Going left means the x is negative while the point going down means the y is negative.

Answer: $5.52

Step-by-step explanation:

Given: Sam paid $8.28 for 18 stamps.

Thus, the cost of 18 stamps = $8.28

Then the cost of 1 stamp=

Thus, the cost of 1 stamp=$0.46

With the same rate , the cost of 12 stamps=

Therefore, the cost of 12 stamps= $5.52

hence, it costs $5.52 to Sam to buy 12 stamps.

8.28÷18 = 0.46

0.46 is the cost if 1 stamp

cost of 12 stamps= 0.46×12 = $5.52

happy to help :)

Answer:

C= 5.4

Step-by-step explanation:

Rise: 5

Run: 2

a²+b²=c²

c=√a²+b²

c=√rise²+run²

c=√5²+2²

c=√25+4

c=√29

c=5.385164807

c=5.4

*c=hypothesis

In the square pyramid below, line segment AB is parallel to line segment CD.

In Mathematics, a line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points. Additionally, a line segment typically has a fixed length.

In Mathematics, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

Based on the square pyramid shown in the image above, we can reasonably infer and logically deduce that both line segment AB is and line segment CD forms parallel lines because they are equal distance apart and can never meet.

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Answer:

1/2

Step-by-step explanation:

Answer:

20.16

Step-by-step explanation:

hope it helps!!:)

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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The weight of the package in pounds is 24.42 pounds.

According to the question,

We have the following information:

If the weight of packages is multiplied by 6/5 (fraction) the result is 24.5 pounds.

First, we will convert this fraction into a number with a decimal point.

So, we have:

6/5 = 1.2

Now, let's take the weight of the packages to be x pounds.

So, we have the following expression:

1.2x = 24.5

x = 24.5/1.2

(1.2 was in multiplication on the left hand side. So, it is in the division on the right hand side.)

x = 20.42 pounds

Hence, the weight of the package in pounds is 20.42 pounds.

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