Write an inequality with x isolated on the left side that is equivalent to the given inequality.
Fx+Wy>R; Assume F > 0.
The equivalent inequality with x isolated on the left side is

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Answer:

D. similar

Step-by-step explanation:

similar but not congruent to one another.

A pyramid has cross-sectional shapes, taken parallel to its base, that are similar to one another.

Therefore, A pyramid has cross-sectional shapes, taken parallel to its base, that are similar to one another.

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The measure of arc angle QTP is 204 degrees.

When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Therefore, let's find the measure of arc angle QTP as follows:

90 = 0.5(x - 68)

90 = 0.5x - 34

0.5x = 124

x = 124 / 0.5

x = 248 degrees

Where

x = arc angle TSQ

Therefore,

arc QP = 44 degrees

Therefore,

arc QTP = 248 - 44

arc QTP = 204 degrees

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Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

What is congruent?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Here,

we have to prove when can we say that the two triangles are congruent.

SSS, SAS, ASA, AAS, and HL.

These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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Answer:

\(List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}\)

Step-by-step explanation:

Given

\(Children = 3\)

Required

List all cases of having at least 1 girl

We have:

\(B = Boy\)

\(G = Girl\)

For 1 girl, we have:

GBB; BGB; BBG

For 2 girls, we have:

GGB; BGG; GBG

For 3 girls, we have:

GGG

Hence, the list is:

\(List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}\)

Answer:

Phil ate more

Step-by-step explanation:

The LCD of both fractions is 9. Thus,

Phil ate 6/9 of a pizza while

Erica only ate 4/9 of the same sized pizza

Answer:

\sqrt{45}

Step-by-step explanation:

A^2+B^2=C^2

36+?=81

81-36=45

\(\sqrt{45}\)=

Answer:

Step-by-step explanation:

Pythagorean Theorem

Here, we are missing one of the altitudes, so we can arrange the equation to form :

Solving

The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Slope = (40 - 10)/(2 - 1)

Slope = 30/1

Slope = 30

Slope = (160 - 40)/(3 - 2)

Slope = 120/1

Slope = 120.

Factor = 40/10 = 4

Factor = 160/40 = 4

Factor = 640/160 = 4.

Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.

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819 in base five is equal to 13134.

Base five is a positional numeral system used in mathematics, having 5 as its base or radix. This means that it represents any real number using five different symbols, often the digits 0, 1, 2, 3, and 4. The ones place is represented by the digit on the right, the place of the five by the digit to the left, the twenty-fives place by the digit after that, and so on. Each digit in base five represents a multiple of a power of five.

To write 819 in base five:

Repeat steps 1-3 with the remainder (194):

Repeat steps 1-3 with the remainder (69):

Repeat steps 1-3 with the remainder (19):

The remainder (4) is less than 5, so write it down in the 5^0 place (rightmost digit).

Combine all the digits: 13134.

Therefore, 819 in base five is equal to 13134.

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The value of angle x in the triangle is 15°

Given: the triangle ABC with equal sides of 9 units.

Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).

Thus, <A = <B = < C =  4x°

Since the sum of angles in a triangle is 180°. We have:

<A + <B + < C = 180°

4x + 4x + 4x = 180°

12x = 180

x = 180/12

x = 15°

Therefore, the value of x is 15°

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The method of multiplication shown is (a) Ancient Egyptian Method

This involves taking the product of at least two factors which could be numbers, expressions or both

From the method shown, we can see that a factor is multiplied by multiples of 2 (i.e. doubling), till it reaches a maximum

This method is associated with the Egyptian.

Hence, the method of multiplication is (a) Ancient Egyptian Method

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Answer:

the two possible amounts of change are £3.01 and 39p.

Step-by-step explanation:

Let's start by finding the possible prices for the pie after the 24% tip has been added. We know that the total price must be an exact number of pence, which means that the price before the tip must have been a multiple of 25 (since there are 100 pence in a pound).

The possible prices before the tip, between £1.30 and £2.99, are:

£1.30 = 130p

£1.31 = 131p

...

£2.98 = 298p

£2.99 = 299p

To find the prices after the 24% tip, we multiply each of these values by 1.24:

130p * 1.24 = 161.2p = £1.612 = £1.61 (rounded to 2 decimal places)

131p * 1.24 = 162.44p = £1.6244 = £1.62

...

298p * 1.24 = 369.52p = £3.6952 = £3.70

299p * 1.24 = 370.76p = £3.7076 = £3.71

So the possible prices for the pie after the 24% tip are between £1.61 and £3.71.

Next, we need to find the possible amounts of change that would result from paying with a £5 note and receiving the fewest possible coins. We can do this by subtracting the total cost of the pie from £5 and seeing which combinations of coins add up to that amount.

Let's start with the lowest possible price for the pie, £1.61. If we add 24% to that, the total cost is £1.99 (rounded to 2 decimal places), which means our change is £3.01. The fewest possible coins we could receive for that amount are:

£2 coin

£1 coin

1p coin

So the first possible combination of change is:

£2 + £1 + 1p = £3.01

Now let's try the highest possible price for the pie, £3.71. If we add 24% to that, the total cost is £4.61, which means our change is 39p. The fewest possible coins we could receive for that amount are:

20p coin

10p coin

5p coin

2p coin

2p coin

So the second possible combination of change is:

20p + 10p + 5p + 2p + 2p = 39p

Therefore, the two possible amounts of change are £3.01 and 39p.

The y-intercept of the function is (0, c)

The coefficients b determine the horizontal shift of the parabola compared to the parent function

If a is negative, the parabola opens downward

The y-intercept of the function is (0, c).

This means that when x = 0, the y-value is equal to c.

The constant term c represents the y-coordinate of the point where the parabola intersects the y-axis.

The coefficient b determines the horizontal shift of the parabola compared to the parent function.

The value of b affects the position of the vertex and determines if the parabola is shifted to the left or right.

A positive value of b shifts the parabola to the left, while a negative value of b shifts it to the right.

If a is negative, the parabola opens downward.

The coefficient a determines the shape of the parabola.

If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The sign of a determines the direction in which the parabola faces.

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Answer:

\(y-8=-\frac{1}{2}(x-(-6))\)

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other, so the slope of the line we need to find -1/2.

Using point-slope form, the equation is \(y-8=-\frac{1}{2}(x-(-6))\).

Answer:

Step-by-step explanation:

3x + 7 + 9x - 43 = 180

                    12x = 216

                      x = 18

m∠4 = 3(18) + 7 = 61°

m∠5 = 9(18) − 43 = 119°

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

I believe the answer is A. true

Answer:

True

Step-by-step explanation:

A piecewise function formed by two equations with domains a≤x

In this case the two equations are:

They are both polynomials so we know they are continuous in their respective domains. Then we just need to compare the values of f and h at x=-1 which is the value where their domains meet. Then the first step would be evaluating the first equation at x=-1:

Then we evaluate the second equation at x=-1:

Then we have to look for the value of n that makes h(-1)=f(-1). Then we equalize these two results:

And we solve this equation for n. We can start by adding 2 to both sides:

And we divide both sides by 3:

The first step to find n is evaluating the first equation for x=-1. Then the answer is the fourth option.

Answer:

  2.5%

Step-by-step explanation:

You want the percentage below 335 if the distribution is normal with a mean of 555 and a standard deviation of 110, using the empirical rule.

The z-score of 335 is ...

  Z = (X -µ)/σ

  Z = (335 -555)/110 = -220/110 = -2

The empirical rule tells you that 95% of the distribution is between Z = -2 and Z = 2. That is, 5% of the distribution is evenly split between the tails Z < -2 and Z > 2. Half that value is in each tail.

  P(X < 335) = 5%/2 = 2.5%

The percentage of people taking the test who score below 335 is 2.5%.

<95141404393>

Answer:

Erm

Step-by-step explanation:

I think not

Answer:

c= ( 2 x + 7 ) ( x − 5 )  / 6 − x

Step-by-step explanation:

Answer: 5/8

Step-by-step explanation: There are 8 members. Out of 8, there are 5 people's weight that are higher than 135. Therefore the answer is 5/8.

Answer:

A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3

Step-by-step explanation:

\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)

Therefore, the first option is correct

The amount of water that must be pumped into the tank to eliminate 50% of the salt is 10,000 * s/(s*0.5).

The amount of water that must be pumped into the tank to eliminate 50% of the salt can be determined by rearranging the equation to solve for x:

x = (V*s)/(s*(1-0.5))

Given V = 10,000 gallons, s is the initial amount of salt, which can be found by multiplying V and the initial concentration of salt.

Therefore, the amount of water that must be pumped into the tank to eliminate 50% of the salt is x = (V*s)/(s*(1-0.5)) = 10,000 * s/(s*0.5).

The amount of water that must be pumped into the tank to eliminate 50% of the salt is 10,000 * s/(s*0.5).

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To answer the question, we have to determine the area of the path and notice that the area of the path is equal to the area of the outer circle minus the area of the inner circle.

Recall that the area of a circle can be determined using the following formula:

where r is the radius of the circle.

Therefore, the area of the outer circle is:

The area of the inner circle is:

Therefore, the area of the ring is:

Now, each gallon can cover 7 yd², therefore, you need:

gallons to cover the entire ring.

Answer: Note: since the number of gallons has to be a whole number but we need to cover the entire path, the number is rounded up to the nearest whole number.

Answer:

.aabc=amn0#1211

Step-by-step explanation:

nosascoOsasco n=12.8

Answer:

f(x) = x^2

f'(x) = 2x, so f'(1.8) = 2(1.8) = 3.6

B is the correct answer.

The value of the function , f'(1.8) = 3.6. option B

A function can simply be defined as an expression, a law or a rule that is used to represent the relationship between two variables in an equation.

These variables are listed as;

From the information given, we have that;

The function , f(x) is represented as x²

This is written as;

f(x) = x²

Find the derivative of the function, we get;

f'(x) = 2x

Now, substitute the value of x as 1.8 in the function, we have that;

f'(1.8) = 2(1.8)

expand the bracket, we have that;

f'(1.8) = 3.6

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Answer:

2/6

Step-by-step explanation:

There are 2 out of 3 on one half shaded so it is 2/6

Answer: w(10) = -12

Step-by-step explanation:

w(n) = -n - 2; Find w(10)

w(10) = -(10) - 2

w(10) = -10 - 2

w(10) = -12

Among the mean, mode, and median, the unique one is the b. mode.

The mode is the data value that occurs many times more than other data values.

Unlike the mean that shows the average value of all the data values, the mode occurs more.  While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.

Similarly, the median can be computed when two values occur as the middle values.

Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.

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