−6y=4,3x-18y=43x−18y=4 has no solution. Change one constant or coefficient to make a new system with an infinite number of solutions.

A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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The vertical displacement is of 2 units down, the correct option is B.

Remember that for a function f(x), a vertical displacement of N units is written in general form as:

g(x) = f(x) + N

If N > 0, the translation is upwards.

if N < 0, the translation is downwards.

Here we assume that we start with the parent cosine function:

y = cos(x)

And the transformed function is:

y = -2 - cos(x - π)

So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.

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Euzy, this is the solution to the problem:

• Tim's earnings per hour at Wendy's = $10

• Signing bonus = $ 30

• Total earnings of the week = $ 450

In consequence,

• Total earnings without the signing bonus = 450 - 30

• Total earnings without the signing bonus = 420

• Number of hours worked by Tim = 420/10

• Number of hours worked by Tim = 42

Answer:

There are 625 trees in the park.

Step-by-step explanation:

Assume that there are x trees in the park

∵ The number of trees in the park = x

∵ 27% of them are oaks

∵ 16% are pins

∵ 33% of them are banyans

∵ The remaining are willows

→ The percentage of the total number of trees is 100%

∴ The percent of the remaining = 100% - (27 + 16 + 33)%

∴ The percent of the remaining = 100% - 76%

∴ The percent of the remaining = 24%

∵ The number of willows trees = 150

∴ 24% of x = 150

∴ 24% × x = 150

→ Change the percent to a decimal by divide it by 100

∵ 24% = \(\frac{24}{100}\) = 0.24

∴ 0.24 × x = 150

∴ 0.24x = 150

→ Divide both sides by 0.24

∴ x = 625

∴ There are 625 trees at the park.

Answer:

Step-by-step explanation:

You want to identify the x-intercepts on the graph.

An "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.

The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...

  (-2, 0) and (3, 0)

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Step-by-step explanation:

there is something severely wrong with the problem definition.

when the Hypotenuse = 9, there is no 30-60-90 triangle with a leg = 6.

and when we are just focusing that this is a right-angled triangle with the Hypotenuse = 9, then 6 cannot be the longer leg.

it is also not clear what the solution is supposed to be. the 2nd leg ? the area ? the perimeter ? the height(s) ? ...

what ?

so, all I can do here is to show you why I said what I said :

30-60-90 triangle with Hypotenuse = 9

then the longer leg is opposite of the 60° angle and therefore sin(60)×9 = 7.794228634...

the shorter leg is opposite of the 30° angle and therefore sin(30)×9 = 0.5×9 = 4.5

a right-angled triangle with Hypotenuse = 9, one leg = 6 gives us per Pythagoras for the other leg

9² = 6² + leg²

81 = 36 + leg²

45 = leg²

leg = sqrt(45) = 6.708203932...

so, you see, as stated above, there is no leg with the length 6 in such a 30-60-90 triangle.

and in a more general right-angled triangle, if one leg = 6, then the other leg is actually longer.

therefore, there is everything wrong with the problem definition.

Answer:

Round Off :

1 ) 24,199,974

=>24,200,000

Answer:

24,200,000

Step-by-step explanation:

First we write the number using digits.

Twenty-four Million one hundred ninety-nine thousand nine hundred seventy four

24,000,000

Twenty-four Million one hundred ninety-nine thousand nine hundred seventy four

24,199,000

Twenty-four Million one hundred ninety-nine thousand nine hundred seventy four

24,199,974

The number is 24,199,974.

Now we round it off to the nearest thousand place.

The thousands digit is the 4th digit from the right, the second 9 from the right, shown in bold below.

24,199,974.

The digit to the right of the 9 in the thousands place is another 9. That means we round up.

Change the 3 digits at the right to 0.

24,199,000

Now 199,000 must round up to the nearest thousand above 199,000. That is 200,000.

The final answer is

24,200,000

The key features of the exponential function y = 7^x are given as follows:

An exponential function is modeled as follows:

y = a(b)^x.

In which:

The function for this problem is given as follows:

y = 7^x.

Hence the parameters are:

a = 1, b = 7.

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Answer: WX, ZY and WX and AB.

The 2nd one is correct.

The nearest tenth, approximately 93.5% of Container A is full after the water is pumped into Container B.

To determine the percentage of Container A that is full after the water is pumped into Container B, we need to compare the volumes of the two containers.

The volume of a cylinder can be calculated using the formula: V = πr^2h, where V is the volume, π is a constant (approximately 3.14159), r is the radius, and h is the height.

For Container A:

Radius (r) = Diameter / 2 = 12 ft / 2 = 6 ft

Height (h) = 14 ft

For Container B:

Radius (r) = Diameter / 2 = 10 ft / 2 = 5 ft

Height (h) = 20 ft

Now, let's calculate the volumes of the two containers:

Volume of Container A = π * (6 ft)^2 * 14 ft ≈ 1,679.65 ft^3

Volume of Container B = π * (5 ft)^2 * 20 ft ≈ 1,570.8 ft^3

To find the percentage of Container A that is full, we need to calculate the ratio of the volume of water in Container B to the volume of Container A:

Ratio = Volume of Container B / Volume of Container A

Ratio = 1,570.8 ft^3 / 1,679.65 ft^3 ≈ 0.9347

Finally, to convert this ratio to a percentage, we multiply it by 100:

Percentage = Ratio * 100

Percentage ≈ 0.9347 * 100 ≈ 93.5%

Therefore, to the nearest tenth, approximately 93.5% of Container A is full after the water is pumped into Container B.

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The expression can be rewritten by given term as;  3^15

We need to simplify the expression below:

(3^2 x 3^3)^3

Remember that we can add these exponents, so we get:

(9 x 9)^3 = 81^3

Then we can rewrite this as:

531441

Takin the product between the exponents we will get:

(3^5)^3

Thus, the solution is 3^15

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That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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Answer:

Step 4

Step-by-step explanation:

In step 3, 16 + 9 = 25, so step 4 should subtract 25 from both sides. Also, y² became -y² in step 4 which is incorrect.

Answer: Step 4

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The two solutions to the linear equation is given by the ordered pairs (0, 6) and (-4, 5).

In order to to graph the solution to the given linear equation on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point that lie on it;

y = 0.25x + 6.00

Next, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.

Based on the graph (see attachment), we can logically deduce that a possible solution for the linear equation is the ordered pairs (-4, 5) and (0, 6).

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Answer: 34

Step-by-step explanation:

To find 8% of 425 coins, multiply 425 by 0.08 (which is the decimal equivalent of 8%).

425 * 0.08 = 34

So, 8% of 425 coins is 34 coins.

Answer:

C.

Step-by-step explanation:

Diameter = 11 inches.

Radius = D/2 = 5.5 inches

Volume = 4/3πr³

= 4/3(3.14)(5.5)³

= 696.6 in.³

Answer: 1/2 or 50%

Step-by-step explanation:        

A dice has 6 numbers; 1,2,3,4,5,6

3 of which are odd numbers

which means:

p(event)= number of favorable outcomes/ number of possible outcomes

p(odd)=3/6

3/6=1/2 or 50%

The probability of 3 or more deaf people in a sample of 100 is given as follows:

0.3633 = 36.33%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of the parameters for this problem are given as follows:

p = 0.02, n = 100.

The probability of 3 or more deaf people are given as follows:

P(X >= 3) = 1 - P(X < 3).

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Hence:

Thus:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) = 0.1326 + 0.2707 + 0.2334

P(X < 3) = 0.6367.

P(X >= 3) = 1 - P(X < 3).

P(X >= 3) = 1 - 0.6367.

P(X >= 3) = 0.3633.

We suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.

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The expression that is equivalent to the given expression -4x² + 2x − 5 (1+x) is -4x²  - 3x − 5

From the question, we have the following parameters that can be used in our computation:

-4x² + 2x − 5 (1+x)

Open the brackets

So, we have

-4x² + 2x − 5 (1+x) = -4x² + 2x − 5 - 5x

Collect the like tsrms

So, we have

-4x² + 2x − 5 (1+x) = -4x² + 2x  - 5x − 5

Evaluate the like terms

This gives

-4x² + 2x − 5 (1+x) = -4x²  - 3x − 5

Hence, the expression that is equivalent to the given expression is -4x²  - 3x − 5

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The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.

To solve the inequality 6x - 6 < -30, we can follow these steps:

Step 1: Add 6 to both sides of the inequality to isolate the variable:

6x - 6 + 6 < -30 + 6

6x < -24

Step 2: Divide both sides of the inequality by 6 to solve for x:

(6x)/6 < (-24)/6

x < -4

The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.

To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.

On the number line, mark a point at -4 with a closed circle:

<--------●-----------------

Then, shade the region to the left of -4:

<--------●================

The shaded region represents the solution to the inequality x < -4.

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Answer:

10,656

Step-by-step explanation:

I=PRT

I=(9600)(0.074)(15)

Multiply those

I=10,656

In 15 years, will have $28,011.44 if 7.4% interest compounded continuously.

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The amount of your tax refund is $1,414

To find the tax refund, we need to subtract the amount of federal taxes owed after deductions from the amount of federal taxes already paid.

Tax refund = Federal taxes paid - Federal taxes owed after deductions

Tax refund = $12,042 - $10,628

Tax refund = $1,414

Rounding to the nearest cent, the tax refund is $1,414.00.

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Answer:

y-intercept is (0, -2)

x-intercept is (-1, 0)

Step-by-step explanation:

Answer:

point m is -5;7 but point l is 9;12

Step-by-step explanation:

m there is negative but l is positive

The solution for the given expression is 14∛x. The correct option is (C).

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as below,

5∛x + 9∛x

The given expression can be simplified as follows,

5∛x + 9∛x

Here, both the terms have equivalent variables. So, both are like terms.

As per the rules like terms can be added or subtracted keeping the variable as the same.

Thus, 5∛x + 9∛x = 14∛x

Hence, the given expression can be evaluated as 5∛x + 9∛x = 14∛x.

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Answer:

gawain sa pagkatuto bilang 2 balikan ang awiting bayan ko sa pahina 15 hanapin ang mga simbolong pangmusika sa awiting guhit ang mga nakita mong simbolong pangmusika sa iyong kwaderno

Answer:

For $1,200 at 14% for 24 months, Sally would be have to pay $57.62 per month, or $1,382.88 after 24 months. Neighbor Steve: For $800 at 32% for 16 months, Sally would have to pay $62.08 per month or $993.28 after 16 months. Even with the (much) higher interest rate, Sally would pay $389.60 less if she went with Neighbor Steve. Even better is that the monthly payments would be about the same for the given timelines. Sally would still want to weight the benefits of contracted work vs. non-contracted work.

Step-by-step explanation:

Answer:

The angle in the first problem measures 67°.

x=16, y=40

Step-by-step explanation:

1st problem: draw the line r in figure (red) parallel to the two given one and containing the vertex of the angle. The two green angles are congruent since alternate angles from the two parallels t and r when crossed with the upper side of the angle. Same with the two blue angles created by the parallels r and b. The measure of the angle you need is the sum of the two, or 36+31= 67°.

Second problem. The two angles in red are congruent since corresponding angles generated by the parallels m and b and the transversal r. we can then write \(4x-5=3x+11\\\). Solving for x we find x= 16. Now the two angles marked in blue are conjugates when looking at the parallels l and r cut by the transversal m, thus they add up to 180° We know how much the angle with double marks measures (since we found x earlier) so we can write

\((3y+1) + (4\times16-5) = 180\\3y+ 1 + 59 = 180\\3y=120 \implies y=40\)