what is the solution to this equation?



A. x=-4
B. x= 100
C. x= 4
D. x=-100

YOUR is a parallelogram

RUO=120°

RUO=RYO. {opposite angles in parallelogram are equal}

therefore...RYO=120°

RYS + RYO =180°. {linear pairs}

120°+RYO= 180°

therefore..RYO=60°

in ∆RSY

√SRY+RYS+YSR=180°. {sum of angles in triangle add up to 180°}

50°+60°+YSR=180°

110°+YSR=180°

:YSR=70°

Answer:

THEREFORE YSR = 70°

Step-by-step explanation:

RUO = 120°

Therefore,

RYO = 120°

(opposite angles of a parallelogram are equal)

Now,

RYO + RYS = 180° (linear pair of angles)

120° + RYS = 180°

RYS = 180° - 120°

RYS = 60°

Now,

By Angle sum property of a Triangle,

SRY + RYS + YSR = 180°

50° + 60° + YSR = 180°

110° + YSR = 180°

YSR = 180° - 110°

YSR = 70°

the youngest of them is 42

i hope this was helpful:)

The volume of the solid obtained by rotating the region about the y-axis is 4π/9 cubic units. The volume V of the solid obtained by rotating the region bounded by the curves \(y = (1/9)x^2\), x = 2, and y = 0 about the y-axis can be calculated using the method of cylindrical shells.

To find the volume, we integrate the area of the cylindrical shells along the interval [0, 2] (the range of y-values). In more detail, we consider a thin cylindrical shell with radius x, height dy, and thickness dx. The volume of this shell can be approximated as 2πxydx. Integrating this expression from y = 0 to y = (1/9)x^2 and x = 0 to x = 2, we get:

V = ∫[0,2] ∫[0,(1/9)x²] 2πxy dy dx.

Simplifying this double integral, we find:

V = ∫[0,2] [πx(1/9)x²] dx

 = π/9 ∫[0,2] x³ dx

 = π/9 [x⁴/4] evaluated from 0 to 2

 = π/9 (2⁴/4 - 0)

 = π/9 (16/4)

 = 4π/9.

Therefore, the volume of the solid obtained by rotating the region about the y-axis is 4π/9 cubic units.

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Answer:

500 inches

Step-by-step explanation:

r= d÷2

25÷2= 12.5

Area of circle = pi × r²

=3.14×(12.5)²

=490.625

~500 inches

Answer:

0.125

Step-by-step explanation:

\( \frac{1}{2} \div 4\)

\( \frac{1}{2} \times \frac{1}{4} \)

\( \frac{1}{8} \: or \: 0.125\)

Answer:

0.125

Step-by-step explanation:

Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.

Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.

To calculate the number of weeks Londell needs to work, we can set up an equation:

$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)

Simplifying the equation:

$40 + $15 = $400

Subtracting $40 from both sides of the equation:

$15 = $400 - $40

$15 = $360

Dividing both sides of the equation by $15:

= $360 / $15

≈ 24

Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.

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The simplified form of the expressions; 10⁻², 4⁻³, 2⁻⁶ and 5⁻³ is 1/100, 1/64, 1/64 and 1/125 respectively.

Given the expressions in the question:

a) 10⁻²

b) 4⁻³

c) 2⁻⁶

d) 5⁻³

The negative exponent rule is expressed as:

b⁻ⁿ = 1/bⁿ

a)

10⁻²

Applying the negative exponent rule:

10⁻² = 1/10²

Simplify

1/100

b)

4⁻³

Applying the negative exponent rule:

4⁻³ = 1/4³

Simplify

1/64

c)

2⁻⁶

Applying the negative exponent rule:

2⁻⁶ = 1/2⁶

Simplify

1/64

d)

5⁻³

Applying the negative exponent rule:

5⁻³ = 1/5³

Simplify

1/125

Therefore, the simplified form is 1/125.

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We know that the exponent means the number of times the base is multiplied by itself. If the exponent is negative, then it means that the reciprocal of the base will be raised to the positive exponent.

To write each expression as a fraction without exponents, we can use the following method:

If a is any non-zero number and n is any integer, then:

\(\( a^{-n} = \frac{1}{a^n} \)\)

Using this method, we can write the given expressions as:

\(a) \( 10^{-2} = \frac{1}{10^2} = \frac{1}{100} \)b) \( 4^{-3} = \frac{1}{4^3} = \frac{1}{64} \)c) \( 2^{-6} = \frac{1}{2^6} = \frac{1}{64} \)d) \( 5^{-3} = \frac{1}{5^3} = \frac{1}{125} \)\)

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Inequalities help us to compare two unequal expressions. The correct option is C.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The situation that can be represented by the inequality 150 ≤ 15x + 55 is Thomas has 55 baseball cards in his collection. He will buy 15 new ones every month. Thomas collects baseball cards for x months. For what values of x will Thomas have at most 150 baseball cards?

Hence, the correct option is C.

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Answer: ion know help ur self

Step-by-step explanation:

Answer:

La opción correcta es B.

Step-by-step explanation:

Dado que en la tienda de doña Claudia venden 1/4 de crema a $15.50, en la tienda de don Juan venden el 1/2 kilo a $37.5 y en la tienda de doña Lupe venden 100 gr de crema a $6.80, para determinar en cuál tienda es más barata la crema se debe realizar el siguiente cálculo:

1/4 = 15.5 x 4 = 62

1/2 = 37.5 x 2 = 65

100 = 1/10 = 6.8 x 10 = 68

Por lo tanto, la tienda en la cual la crema es más barata es la tienda de Don Juan.

Answer: D and E

Step-by-step explanation:

It is not an integer because it is represented by a fraction it is not an irrational number because it can be represented by the decimal 0.75. It is not a whole number because it is a fraction. It is rational because the decimal numbers do not go on forever and it is not an imaginary number so it is a real number.

Explanation:

The phrasing "given that he or she is a graduate" means we focus on the middle row only. We ignore everything else.

We see that A = 1879 graduates receive financial aid out of B = 2610 graduates total.

This means the probability we want is therefore A/B = 1879/2610 = 0.7199 approximately. This converts to 71.99% and that rounds to 72%

Answer:

\(\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502\)

Step-by-step explanation:

To solve the problem, we need to write each fraction in decimal form.

Notice that each denominator is 10 based, which means we only have to move the decimal point according to the total number of zeros have the denominators. If the denominator is 10, we move the decimal point one spot to the left, if the denominator is 1000, we move the decimal point three spots to the left, and so on.

\(\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502\)

Step-by-step explanation:

a = 7

d = 14-7 = 7

s(50) = n/2*[a+(n-1)*d]

         = 50/2*[7+(50-1)*7]

         = 8750

If the degree of freedom is 24, your sample size when conducting a t-test for dependent means must be 25. Option C is the correct answer.

The sample size when conducting a t-test for dependent means depends on the specific study design and the level of significance desired, and cannot be determined solely based on the degrees of freedom.

However, if we assume that the sample size is equal for both groups, then the formula to calculate the degrees of freedom for a t-test for dependent means is:

df = n - 1

Where "n" is the number of pairs of observations in the sample.

Therefore, if the degree of freedom is 24, then the number of pairs of observations in the sample would be:

n = df + 1 = 24 + 1 = 25

Hence, the answer is 25.

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what do you want us to do with the equation? evaluate it? solve for X? solve for y? if you don't tell us then we cannot solve it

Step-by-step explanation:

you never really specified what you want us to do with the equation

The top of the ladder slips down the wall at the rate of 5.6 ft/sec.

What is a rate?

The ratio of two related quantities expressed in several units is known as a rate. The numerator of the ratio indicates the rate of change in the other (dependent) variable if the denominator of the ratio is written as a single unit of one of these quantities, and if it is assumed that this quantity may be modified systematically (i.e., is an independent variable).

Here, we have

Given: A ladder 15ft in length leans against a vertical wall, with the bottom of the ladder 5ft from the wall on the horizontal floor. If at that time the bottom end of the ladder is being pulled away at the rate of 2ft/s .

Let: x = the distance from the base of the ladder to the base of the wall

y = the distance from the tip of the ladder to the base of the wall, we have:

x² + y² = 15²

y² = 15² - 5² = 225 - 25 = 200 => y = 14.14 ft

2x dx/dt + 2y dy/dt = 0

2 * 5 * dx/dt + 2 * 14.14 * (-2) = 0

10 dx/dt = 56.56

dx/dt = 5.6 ft/sec

Hence, the top of the ladder slips down the wall at the rate of 5.6 ft/sec.

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Answer:

the answer is 66°

Step-by-step explanation:

As it is given that triangle ABC is similar to triangle DEF so

< A = < D ( being corresponding angles of similar triangles)

3x + 18° = 4x + 2°

4x - 3x = 18° - 2°

x = 16°

So now

< A = 3 * 16° + 18° = 66°

The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)

The equation of the line through (1,2) makes an equal intercept on the axis

The formula of the intercept form is

\(\frac{x}{a} +\frac{y}{b} =1\)

If they make an equal intercept

\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)

Put the value of the point in the axis, and we get.

\(1+2=a\\a=3\)

Put the value in the equation, and we get.

\(x+y=3\)

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Cooper left his dinner server a 19% tip.

To find the percent tip, we need to first subtract the cost of the meal from the total amount paid, which will give us the tip amount:

Tip amount = Total amount paid - Cost of the meal

Tip amount = $33.32 - $28

Tip amount = $5.32

Now we can calculate the percentage of the tip by dividing the tip amount by the cost of the meal and multiplying by 100:

Percent tip = (Tip amount / Cost of the meal) x 100

Percent tip = ($5.32 / $28) x 100

Percent tip = 0.19 x 100

Percent tip = 19%

Therefore, Cooper gave a 19% tip on his dinner.

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Answer: The equation x^2+3x+4 is a quadratic equation.

A quadratic equation is a second-degree polynomial equation in one variable (usually x), where the highest power of the variable is squared (x^2).

In this case, x^2+3x+4 is a second-degree polynomial with the variable x raised to the power of 2. Therefore, it is a quadratic equation.

Linear equations, on the other hand, are first-degree polynomial equations in one variable, where the variable is not raised to any power higher than 1.

Step-by-step explanation:

The surface area of a sphere is given by the formula 4πr^2, where r is the radius of the sphere.

The sphere is one of the most fundamental shapes in three-dimensional geometry. It is a closed shape with all points lying at an equal distance from its center. The formula for the surface area of a sphere is explained below.To understand how to calculate the surface area of a sphere, it is important to know what a sphere is. A sphere is defined as the set of all points in space that are equidistant from a given point. The distance between the center of the sphere and any point on the surface is known as the radius. Hence, the formula for the surface area of a sphere is given as: Surface area of a sphere= 4πr^2where r is the radius of the sphere.To explain the formula of the surface area of a sphere, we can consider an orange or a ball. The surface area of the ball is the area of the ball's skin or peel. If we cut the ball into two halves and place it flat on a surface, we would get a circle with a radius equal to the radius of the sphere, r. The surface area of the sphere is made up of many such small circles, each having a radius equal to r. The formula for the surface area of the sphere, which is 4πr^2, represents the sum of the areas of all these small circles.

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Answer:

54

Step-by-step explanation:

6x9=54

Answer:

6*9= 54

Step-by-step explanation:

we add 6 nine times, or we add 9 six times

The ratio of the lengths of PR and QS is 1 : 1.

What are Parallel Lines?

The lines that always have a constant distance between them and never intersect each other are called Parallel Lines.

The slope of parallel lines is equal to each other.

If PQ is parallel to RS.

PR is perpendicular to PQ and RS.

QS is also perpendicular to PQ and RS.

The figure that will be formed using the two parallel lines, and the two perpendicular is a square.

When two lines are parallel to each other and the end points of the parallel lines are used to draw perpendiculars, then the line segments PQ and RS will be congruent.

Hence, By the property of Congruence, the ratio of the lengths PR and QS is equal to 1:1.

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Answer:

The ratio of the lengths of PR and QS is 1 : 1.

Step-by-step explanation:

3/4 is the total.

See attached image for explanation.

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The fourth term in the geometric sequence is -81.

What is a geometric sequence?

In mathematics, a geometric progression, also known as a geometric sequence, is a set of non-zero numbers where each term after the first is derived by multiplying the previous one by a fixed, non-zero amount called the common ratio.

We are given a sequence as 3, –9, 27, ...

We can observe that each term is being multiplied by -3.

So, the common ratio i.e. r = -3

Here x = 4 and a₁ = 3.

Now, using aₓ = a₁ r⁽ˣ⁻¹⁾ , we get

⇒a₄ = a₁ r⁽⁴⁻¹⁾

⇒a₄ = a₁ r³

⇒a₄ = 3 (-3)³

⇒a₄ = 3 * -27

⇒a₄ = -81

Hence, the fourth term in the geometric sequence is -81.

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The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

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The solution is :

Team A scored 261 points.

Team B scored 85 points.

Team C scored 130 points.

Given that,

team A scored 6 more points than 3 times as points as time B.

It means

A scored = 3 times of B scored +6

Team C scored 45 more than team B scored.

Team C scored=Team B scored + 45

Let team B scored x points.

Team A scored= 3x+6

Team C scored=x+46

The combined scores for all three team was 476 points.

Team A scored+Team B scored+Team C scored= 476

⇒3x+6+x+x+45 =476

⇒5x+51=476

⇒5x=476-51

⇒5x=425

⇒x=85

Team B scored 85 points

Team A scored (3×85)+6=261 points

Team C scored (85+45)=130 points.

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complete question:

In a basketball tournament, team A scored 6 more points than 3 times as many points as team B scored. Team C scored 45 more points than team B scored. The combined scores for all three was 476 points. Which statement about the number of points is true