Given that
y
= 8 cm and
θ
= 34°, work out
x
rounded to 1 DP.

Answer:

(-3,8)

Step-by-step explanation:

Given the coordinates of the endpoints of EF are E( – 9,11) and F(1,6). Point G is on EF and divides it such that EG:FG is 2:3.

Coordinate of G is expressed as shown;

X = ax1+bx2/a+b

X = -9(2)+3(1)/2+3

X = -18+3/5

X = -15/5

X = -3

Similarly;

Y = ay1+by2/a+b

Y = 2(11)+6(3)/2+3

Y = 22+18/5

Y = 40/5

Y = 8

Hence the coordinate of point G is at (-3,8)

Answer:

-2/5

Step-by-step explanation:

-4/5÷2/1

-4/5×1/2

=-2/5

-2/4

I got it right on edgen

Answer

5

Step-by-step explanation:

Pls give brainliest to me

Answer: x = 5

Step-by-step explanation:

4x + 3 = x + 18

- 3 - 3

4x = x + 15

Do 4x-x and x-x

3x = 15

Do 3x/3 and 15/3

x= 5

Simplification form of the provided expression is -x⁴-2x³+2x+5 option (B) is correct.

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A) -x⁴ - 2x - x + 2

B) -x⁴ - 2x³ + 2x + 5

C) -2x³ + 1

D) -x - 2x² + 2x + 5

We have an expression:

= (x + 3) - [(x + 2)(x³ - 1)]

\(\rm =x+3-\left(x+2\right)\left(x^3-1\right)\)

\(\rm =x+3-x^4+x-2x^3+2\)

\(\rm =-x^4-2x^3+2x+3+2\)

\(\rm =-x^4-2x^3+2x+5\)

Thus, simplification form of the provided expression is -x⁴-2x³+2x+5 option (B) is correct.

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Answer:

Negative with little correlation

It has negative slope if you imagine a line

Answer:

The height of the mother is 147.25cm

Step-by-step explanation:

The height of the new-born panda is 15.5 centimeters.

Let the height of the mother be = x

We know from the problem that the mother is 9.5 times taller than the baby.

We can get the height of the mother by multiplying the height of the baby by 9.5.

i.e x = 9.5 X 15.5 = 147.25cm

Since the globe is in a shape of a sphere, the radius of the globe with a given volume of 904.78 in.³ is equal to 6 in .

The sphere is a three-dimensional form that is sometimes referred to as a circle's second cousin. A sphere is a solid form that is circular, without borders. Examples of spherical shapes include a playing ball, a balloon, and even light bulbs.

The formula for calculating the volume of a sphere is given by,

Volume of a sphere (V) = \(\frac{4}{3} \pi r^{3}\) .

Where \(\pi\) = 3.14 and r is the radius of the sphere.

Given information in the question,

volume of a sphere(V) = 904.78 in.³

Radius (r) = ?

To find the radius of the sphere, using the formula for volume of sphere,

Volume of a sphere (V) = \(\frac{4}{3} \pi r^{3}\) .

or, 904.78 =  \(\frac{4}{3} \pi r^{3}\)

Therefore, r = 6 in.

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Answer:

ITS 0

Step-by-step explanation:

Answer: 1 2and 4

Step-by-step explanation:

0.3814  is the probability that a standard normal random variable .

What is the probability equation?

The probability of an event occurring, or P(E), is defined as the ratio of the number of favorable outcomes to the total number of outcomes in the probability formula.

                      P(E) = positive outcomes/total outcomes is how it's expressed mathematically. The probability of an event occurring, or P(E), is defined as the ratio of the number of favorable outcomes to the total number of outcomes in the probability formula. Mathematically speaking, it seems as follows: P(E) stands for positive outcomes/total outcomes.

P(0.3 < z < 3.2)

= P(z < 3.2) - P(z < 0.3)

= 0.9993 - 0.6179

 = 0.3814

Probability = 0.3814

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Answer:

A

Step-by-step explanation:

-2,4

Answer:

Option A (-2,4)

Step-by-step explanation:

It is where the lines intersect

Hope this helped, have a nice day! :)

The first four terms of the Taylor series for 3/x about the point α = 2 are: 3/2 - (3/4)(x-2) + (3/4)(x-2)² - (9/16)(x-2)³.

To find the Taylor series for a function, we need to calculate its derivatives at the point of expansion and then substitute those values into the general formula for the Taylor series. The general formula for the Taylor series of a function f(x) about a point a is:

f(x) = f(a) + f'(a)(x-a)/1! + f''(a)(x-a)²/2! + f'''(a)(x-a)³/3! + ...

Here, we want to find the Taylor series for the function f(x) = 3/x about the point α = 2. First, we will calculate the derivatives of f(x):

f(x) = 3/x

f'(x) = -3/x²

f''(x) = 6/x³

f'''(x) = -18/x⁴

Now we can substitute these derivatives into the general formula for the Taylor series to get:

f(x) = f(2) + f'(2)(x-2)/1! + f''(2)(x-2)²/2! + f'''(2)(x-2)³/3! + ...

We can calculate the first few terms of this series:

f(2) = 3/2

f'(2) = -3/4

f''(2) = 3/4

f'''(2) = -9/16

Substituting these values into the series, we get:

3/x = 3/2 - (3/4)(x-2) + (3/4)(x-2)² - (9/16)(x-2)³ + ...

So the first four terms of the Taylor series for 3/x about the point α = 2 are 3/x = 3/2 - (3/4)(x-2) + (3/4)(x-2)² - (9/16)(x-2)³

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The center of mass of the wire is (64/15, 0). To find the mass of the wire, we need to calculate its length first.

Since the wire is bent into the shape of a semicircle, its length is half the circumference of a circle with radius 8 units (since x>=0). Therefore, the length of the wire is πr = π(8) = 8π.

The linear density of the wire is given as k, which means that its mass per unit length is k. Thus, the mass of the wire is the product of its length and linear density: mass = k(8π) = 8kπ.

To find the center of mass, we need to locate the centroid of the semicircle. By symmetry, the centroid lies on the x-axis, and we only need to find its x-coordinate.

The x-coordinate of the centroid can be found using the formula:

x¯ = (1/M) ∫(x dM)

where M is the mass of the wire, and the integral is taken over the semicircle.

Using polar coordinates (x = rcosθ, y = rsinθ), we can rewrite the equation of the semicircle as y = (64-x^2)^0.5.

Then, we have:

dM = kds = k(sqrt(1+(dy/dx)^2))dx = k(1+(x^2/(64-x^2)))^(1/2) dx

Integrating from x=0 to x=8, we have:

x¯ = (1/M) ∫(x dM) = (1/8kπ) ∫(x (1+(x^2/(64-x^2)))^(1/2) dx) = 64/15

Therefore, the center of mass of the wire is (64/15, 0).

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Answer:

the third option

Step-by-step explanation:

the inverse of a statement is just the opposite. So the opposite of your statement would be "if a quadrilateral is NOT a rectangle, then it is NOT a parallelogram."

hope this helps!

Answer:

m = 2

Step-by-step explanation:

The given equation is :

8x – 4y - 9 = 0

The general equation of a line is given by :

y = mx+b ...(1)

here m is slope and b is y-intercept

Equation (1) can be written as :

8x – 4y = 9

Dividing both sides by (-4)

\(\dfrac{8x}{-4}-\dfrac{4y}{-4}=\dfrac{9}{-4}\\\\-2x+y=-\dfrac{9}{4}\\\\y=2x+\dfrac{-9}{4}\) ...(2)

Comparing equation (1) and (2), we get :

m = 2

Hence, the slope of the line is 2.

Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x

The maximum value is 5√(2) and the minimum value is -5√(2).

We need to find the maximum and minimum values of the function f(x,y,z) = 8x - 8y + 5z subject to the constraint \(4x^2 + 4y^2 + z^2 = 22\) using Lagrange multipliers.

Let \(g(x,y,z) = 4x^2 + 4y^2 + z^2 - 22\)  be the constraint function. The Lagrangian function is

L(x,y,z,λ) = f(x,y,z) - λg(x,y,z) = 8x - 8y + 5z - λ(4x^2 + 4y^2 + z^2 - 22).

Taking partial derivatives and setting them to zero, we get:

∂L/∂x = 8 - 8λx = 0

∂L/∂y = -8 - 8λy = 0

∂L/∂z = 5 - 2λz = 0

∂L/∂λ = 4x^2 + 4y^2 + z^2 - 22 = 0

From the first two equations, we get x = 1/λ and y = -1/λ. Substituting these into the third equation, we get z = 5/2λ. Substituting these values into the fourth equation, we get \(2λ^2 = 11\), which gives \(λ = ±√(11/2)\).

Therefore, the critical points are (x,y,z) = (±1/√(11),∓1/√(11),±5/√(22)). We need to evaluate f at these points to find the maximum and minimum values:

f(1/√(11),-1/√(11),5/√(22)) = 8/√(11) - 8/√(11) + 5√(2) = 5√(2)

f(-1/√(11),1/√(11),-5/√(22)) = -8/√(11) + 8/√(11) - 5√(2) = -5√(2)

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Answer:

24/100

6/25 (not sure if you need to simplify but here incase)

24%

Step-by-step explanation:

Centimeters (cm) and inches (in) are both units of measurement used to express length, but they are not equivalent. To convert between the two units, it's important to know that 1 inch is equal to approximately 2.54 centimeters.

Centimeters are a unit commonly used in the metric system, while inches are a unit commonly used in the United States and some other countries. To find out how many inches are in 57cm, you can use the conversion factor of 1 inch = 2.54cm. To convert a measurement in centimeters to inches, you divide the number of centimeters by 2.54. So, to find out how many inches are in 57cm, you would divide 57 by 2.54. The calculation is 57 / 2.54 = 22.44 inches. So, 57cm is equivalent to 22.44 inches.

It's also important to note that when measuring smaller or larger quantities, it's important to use the correct units. For example, centimeters are more appropriate for measuring the length of a piece of fabric, while inches would be more appropriate for measuring the length of a book.

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In mathematics, we can define ratio as how many times one number contains another. In the other word, a ratio says how much of one thing there is compared to another thing. Example, there are ten apples and six lemons in a basket of fruit, then the ratio of apples to lemons is ten to six (10:6). We can also say that the ratio of apples to the total amount of fruit is 10:16.

Ratios making us easier to understand the case by allow us to measure and express quantities.

Case:

- Alex's Salad contains oil and pasta.

- The ratio of ounces oil to cups of pasta is 3:5

How many ounces of oil will alex need to make 64 cups of pasta?

Oil = \(\frac{3}{5}\) x 64 = 38,4

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Answer:

A defensive way is use all your might to jump when the ball is coming at you, because as you might know is it takes a lot of effert to jump in a pool, the gravity is very strong in the pool! Or if you get the ball you can throw and swing your arm as strong as you can a HIT that ball! You wanna hit it hard so the players on the other side of the pool don’t get the ball,instead it will go over them and you WIN!

Step-by-step explanation:

Hope this helped :)✨

The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).

Now,

We are given the linear equation: \(4x + \frac{1}{2}(10x-4)=6\)

Hence, The third and fourth solutions are correct when using the division property of equality, i.e., The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).

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The forecast for week 6 if Y is forecast for demand of chips sale and X is the week 18. The correct answer is 1) 18 KD.

This forecast assumes a linear relationship between the demand for chips sale and time. To use the equation Y=2X+6 for forecasting the demand of chips sale, we need to plug in the value of X, which is the week for which we want to create the forecast. Here, we want to forecast for week 6, so X=6.

Substituting the value of X=6 in the equation, we get:

Y=2(6)+6

Y=12+6

Y=18

Therefore, the forecast for week 6 using the given equation is 18.

Hence, option 1) 18 KD is the correct answer.

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Answer:

I think your answer will be 10 to sum it up

Answer:

pretty positive its -1

Step-by-step explanation:

5x + 2 = x - 2 do the math from there

REmember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

Verify

Triangle 2

Find out the interior angles

47, 64,x

the sum must be equal to 180 degrees

47+64+x=180

x=69 degrees

Triangle 3

interior angles

47,69 and the third angle must be 64 degrees

that means

triangle 2 and triangle 3 are similar

The power required for a student to climb a height of 2 meters in 5 seconds, while weighing 400 Newtons, can be calculated.

Power is defined as the rate at which work is done or energy is transferred. To calculate power, we need to determine the amount of work done and divide it by the time taken. In this case, the work done is equal to the product of force and displacement. The force is the weight of the student, which is 400 Newtons, and the displacement is the height climbed, which is 2 meters. The work done would be 400 Newtons multiplied by 2 meters, resulting in 800 Joules. To calculate power, we divide the work done (800 Joules) by the time taken (5 seconds), which gives us a power of 160 Watts. Therefore, the power required for the student to climb a height of 2 meters in 5 seconds is 160 Watts.

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Answer:

hgfgdfsdfdgfhkjlkjhgfrderftryu

Step-by-step explanation:

Answer:

26/35

Step-by-step explanation:

6/35+4/7

you need to make the second fraction have the same denominator

to do this, you need to do 7 times 5 to make 35

times the numerator by the same

this would mean:

6/35+20/35=26/35

i hope i helped

please mark it as brainliest!!<3

Answer:

b. 9

Step-by-step explanation:

"y varies directly as x" or "y is directly dependent on x" means that the 2 variables have the following relationship :

y = kx

we have to find the factor "k". and we do this by using the first given pair of x and y values.

x = 20, y = 12

12 = k×20

k = 12/20 = 3/5

when x = 15, we have then

y = (3/5)×15 = 3× 15/5 = 3×3 = 9

Answer:

Reciprocal, Exponential and Logarithmic.

Step-by-step explanation:

x intercept is the value of x where y value is 0.

y intercept is the value of y where x value is 0.

Let us have a look at the possibility for each parent function as given.

I. Linear

\(y =x\)

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

II. Absolute value

\(y =|x|\)

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

III. Quadratic

\(y =x^{2}\)

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

IV. Cubic

\(y =x^3\)

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

V. Square root

\(y =\sqrt x\)

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

VI. Cube root

\(y =\sqrt[3]x\)

When x = 0, y = 0 and

When y = 0, x = 0

Therefore, both x and y intercept exist.

VII. Reciprocal

\(y =\dfrac{1}x\)

When \(x = 0, y \rightarrow \infty\)

Therefore, both x and y intercept do not exist.

VIII. Exponential

\(y =b^x\)

where b is any base:

When \(x = 0, y =1\) therefore y intercept exists.

When we put y = 0, which is not possible

Therefore, both x and y intercept do not exist.

IX. Logarithmic

\(y =logx\)

When \(x = 0, y \rightarrow\) not defined

Therefore, both x and y intercept do not exist.