Select the correct answer. Which expression is equivalent to the given expression? 2x²-14x+24
A.(2x-12)(x-2)
B.2(x-3)(x-4)
C.2(x-8)(x+3)
D.2(x-5)(x-2)

The surface area of the sphere is 1810 cm²

A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of sphere is expressed as;

A = 4πr². where r is the radius.

A = 4 × 3.14 × 12²

A = 1809.7 cm²

approximately to the nearest whole number

A = 1810 cm²

Therefore the surface area of the sphere to the nearest whole number is 1810 cm².

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Answer:

the answer is 750,720 students received loans

Answer:

I'm sorry, but I am an Expert Answer Provider and do not have the ability to draw images. You can use a ruler and a pencil to draw segment AB with a length of at least 2 inches on a piece of paper. To construct a segment that divides AB in the ratio 2 to 3, you can follow these steps:

Draw segment AB with a length of at least 2 inches.

Label the two endpoints of the segment as A and B.

Measure the length of AB and divide it by 5 to find the length of the dividing segment.

Mark a point C on AB that is 2/5 of the way from A to B. This is the point that divides AB in the ratio 2 to 3.

Draw a line through C that is perpendicular to AB and label it as CD.

Now, segment AC has a length of 2/5 of the length of AB and segment BC has a length of 3/5 of the length of AB.

The solution is given below.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

You can use a ruler and a pencil to draw segment AB with a length of at least 2 inches on a piece of paper. To construct a segment that divides AB in the ratio 2 to 3, you can follow these steps:

Now, segment AC has a length of 2/5 of the length of AB and segment BC has a length of 3/5 of the length of AB.

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Answer:

31. 50

32. S A S

33. 5

34. 61°

Answer:

2

Step-by-step explanation:

Answer:

correct

Step-by-step explanation:

The length of the side of the square in simplest form is 2sqrt(14).

The area of a square is given by the formula \(A = s^2\), where A is the area and s is the length of a side.

We are given that the area of the square is 56 units, so we can set up the equation:

\(56 = s^2\)

To solve for s, we can take the square root of both sides of the equation:

sqrt(56) = \(sqrt(s^2)\)

We can simplify the square root of 56 by factoring it:

sqrt(56) = sqrt(222*7) = 2sqrt(14)

So, we have:

2sqrt(14) = s

This is an improper fraction because the numerator is larger than the denominator. Therefore, the length of the side of the square in simplest form is 2sqrt(14).

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Answer:

= 384

Step-by-step explanation:

(-8)(-4)(12)

= (32)(12)

=384

Answer:

384

Step-by-step explanation:

9514 1404 393

Answer:

  548 W

Step-by-step explanation:

The work done to raise 4 kg to a height of 12 m against gravity is ...

  W = Fd = Mgd = (4 kg)(9.8 m/s²)(12 m) = 470.4 J

The power output of the pump doing this work each second is ...

  P = (470.4 J)/s = 470.4 watts

Since the pump is only 86% efficient, the power input is ...

  Pout = eff × Pin

  Pin = Pout/eff

  Pin = (470.4 W)/(0.86) ≈ 548 W

_____

Additional comment

The rating of a motor often has little to do with its actual input power or its ability to do work. The rating is used for purposes such as circuit-breaker and wire sizing, or other aspects of sizing the physical plant surrounding the motor (including piping, in the case of a pump). While we can calculate a value for input power, we cannot make any claim regarding the power rating of the pump.

Answer:

949 inches

Step-by-step explanation:

79(12)+1=949 inches

Answer:

949 inches

Step-by-step explanation:

1 feet=12 inches

79·12=948

948+1=949 inches

79 feet=12 inches

So the airplane is 949 inches tall

HOPE THIS HELPS!

Answer:

4 hours.

Step-by-step explanation:

Answer:3 cups of Soda

UwU

Step-by-step explanation:

The nominal rate per annum compounded half-yearly, equivalent to an effective rate of 14.5% per annum, is approximately 14.900625%.

To convert an effective rate to a nominal rate compounded half-yearly, we can use the formula:

Nominal rate \(= (1 + r/m)^m - 1\)

Where:

r = effective rate

m = number of compounding periods per year

In this case, the effective rate is 14.5% per annum, and we want to convert it to a nominal rate compounded half-yearly.

Since compounding is done semi-annually, m would be 2.

Plugging in the values:

Nominal rate \(= (1 + 0.145/2)^2 - 1\)  

Simplifying the expression inside the parentheses:

Nominal rate \(= (1 + 0.0725)^2 - 1\)

Calculating the exponent:

Nominal rate \(= (1.0725)^2-1\)

Performing the calculations:

Nominal rate = 1.14900625 - 1

Nominal rate = 0.14900625

Converting the nominal rate to a percentage:

Nominal rate = 14.900625%

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The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer:

\(\large\boxed{\mathtt{9^{8}}}\)

Step-by-step explanation:

\(\textsf{For this problem, we are asked to simplify the given expression.}\)

\(\textsf{Let's begin by understand an important rule for problems like these.}\)

\(\mathtt{9^{3} \times 9^{5} = 9^{?}}\)

\(\large\underline{\textsf{We should remember that;}}\)

\(\textsf{When exponents multiply, they \underline{add}.}\)

\(\large\underline{\textsf{Why?}}\)

\(\textsf{If not, then the answer will be incorrect. Let's identify why in an example.}\)

\(\large\underline{\textsf{Bad Example:}}\)

\(\mathtt{2^{2} \times 2^{5} = 2^{2 \times 5 =10}}\)

\(\textsf{This means that;}\)

\(\mathtt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \neq 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2.}\)

\(\large\underline{\textsf{Good Example:}}\)

\(\mathtt{2^{2} \times 2^{5} = 2^{2+5=7}}\)

\(\textsf{This means that;}\)

\(\mathtt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2.}\)

\(\textsf{Let's follow the good example!}\)

\({\mathtt{9^{3} \times 9^{5} = 9^{3 + 5=8}}\)

\(\textsf{This means that;}\)

\(\mathtt{9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 = 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9.}\)

\(\large\boxed{\mathtt{9^{8}}}\)

\(\huge\text{Hey there!}\)

\(\mathsf{9^3 \times 9^5}\\\mathsf{= 9\times 9 \times 9\ \boxed{\times}\ 9\times 9\times 9 \times 9 \times 9}\\\mathsf{= 81\times 9\ \boxed{\times}\ 81\times81\times9}\\\mathsf{= 729\ \boxed{\times}\ 6,561\times 9}\\\mathsf{= 729\ \boxed{\times}\ 59,049}\\\mathsf{= 43,046,721}\\\mathsf{= 9^3 \times 9^5 \rightarrow 9^{3 + 5}\rightarrow 9^8}\)

\(\huge\text{Therefore your answer should be:}\)

\(\huge\boxed{\mathsf{9^8}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

440

Step-by-step explanation:

305+ (45*3)= 440

350+ (30*3)= 440

Hello!

This problem is about relating parallel and perpendicular lines with a given point.

What we need to know here is that parallel lines will have equal slopes, while perpendicular lines will have opposite and reciprocal slopes.

Using this information, let's look at the first part.

We are asked to find a parallel line to the line \(y=6x-6\) that passes through the point \((4,-3)\).

Since we know that parallel lines have the same slope and we are given a point, we can solve for the y-intercept after setting up and equation.

\(y=6x+b\)

\(-3=6(4)+b\)

\(b=-27\)

So the line would be \(y=6x-27\).

Let's look at the second part, where we are asked to find a perpendicular line that passes through the same point.

We know that perpendicular lines have an opposite reciprocal of a slope, and using that information, we can go through the same process and solve for the equation.

\(y=-\frac{1}{6}x+b\)

\(-3=-\frac{1}{6}(4)+b\)

\(b=-\frac{7}{3}\)

So the line would be \(y=-\frac{1}{6}x-\frac{7}{3}\).

Hope this helps!

Answer:

548 > 373

Step-by-step explanation:

548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.

The ">" symbol is used to represent "greater than" in mathematical comparisons.

Hope this helps!

The domain of the question is expressed as; 0 ≤ x ≤ 4

The range of the question is expressed as; 100 ≤ f(x) ≤ 207.36

The domain of a graph is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values that can result from the possible input values.

Now, we are told that the insect population increases by 20% each month from May 1 to September 1.

The function that represents the insect population after x months is;

f(x) = 100(1.2)ˣ

Thus, the domain is from x = 0 to 4 months inclusive. 0 ≤ x ≤ 4

f(0) = 100(1.2)⁰

f(0) = 100

f(4) = 100(1.2)⁴

f(4) = 207.36

100 ≤ f(x) ≤ 207.36

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Answer:

The picture has the graphed line on it.

Answer:

x = 3 only

Step-by-step explanation:

\(\sqrt{2x-5} =1+\sqrt{x-3}\)

\(\implies 2x-5=(1+\sqrt{x-3})^2\\\\ \implies 2x-5=x+2\sqrt{x-3} -2\)

\(\implies x-3=2\sqrt{x-3}\)

\(\implies (x-3)^2=(2\sqrt{x-3})^2\)

\(\implies x^2-6x+9=4x-12\)

\(\implies x^2-10x+21=0\)

\(\implies (x-3)(x-7)=0\)

\(\implies x=3, x=7\)

Check by substituting found values of x into original equation:

\(x=3 \implies \sqrt{2(3)-5} =1+\sqrt{3-3} \implies 1 = 1 \ \ \ \checkmark\)

\(x=7 \implies \sqrt{2(7)-5} =1+\sqrt{7-3} \implies 3\neq 2 \ \ \ \ incorrect\)

By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.

To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.

First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.

We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.

1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:

  0 = x^2 + 2x - 3.

  This quadratic equation can be factored as (x + 3)(x - 1) = 0.

  Therefore, x = -3 or x = 1.

2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.

3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).

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The graph that represents the function f(x) = -2sin(x) +37 is graph D

The graph of the function f(x) = -2sin(x) +37 is a sinusoidal wave with an amplitude of 2 and a vertical shift of 37. The negative sign in front of the sine function indicates that the wave is inverted or reflected about the x-axis.

In this graph, the maximum value of the function is 39 (when x = 0) and the minimum value is 35 (when x = π).

In conclusion, the graph that represents the function f(x) = -2sin(x) +37 is graph D

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Answer: the function is monotonically increasing since the output values are continually getting larger. This also tells us that the end behavior of the function is infinity.

The x-intercept is (0,0), the y-intercept is (0,0), and the endpoint too is (0,0).

The domain of the graph is all values greater than or equal to 0, and the range is all positive output values.

Step-by-step explanation:

Plato answer

Answer:

c) alternate hypothesis

Step-by-step explanation:

Answer:

An alternate hypothesis is a statement about a population parameter that is accepted when the null hypothesis is rejected. ... A test statistic is a value determined from sample information collected to test the null hypothesis

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Answer:

v=m/d

Step-by-step explanation:

D=m/v

D*v=m

d*v/d=m/d

v=m/d

The required solution for v is v = m/D.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =.

The given equation is,

D = m/v

To solve for v we need to isolate v to one side and other variables to another side.

Therefore multilpying the equation both the side by we get,

Dv = v*m/v

Solving we obtain,

Dv = m

Now divide the equation both side by D we obtain,

Dv/D = m/D

Solving we obtain,

v = m/D

which is the required solution for v.

Thus, the required solution for v is v = m/D.

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Answer:

3.5

Step-by-step explanation:

3/5 in a decimal is 3.5

Answer:

Step-by-step explanation:

d-b

d=12

b=3

12-3

=9

hope dis helps

The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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