which of the following is an equivalent expression?

Answer:

2x^2-6x-4

Step-by-step explanation:

(7x2 + 4x - 9)

-(5x2 + 10x - 5)

=

7x^2-5x^2=2x^2

4x-10x=-6x

-9-(-5)=-4

thus, your answer is 2x^2-6x-4

Answer:

Part A: 1 solution

Part B: x = 3, y = 4

Step-by-step explanation:

Answer:

t = 0.722 seconds

Step-by-step explanation:

Given in the question that an equation

h = -16t² + 6t + 4

here h is the height

        t is the time

To solve this question we need to substitute height with zero because at ground level height is zero

0 = -16t² + 6t + 4

a = -16

b = 6

c = 4

Formula to use

t = -b±√(b²-4ac) / 2a

Plug values in the formula

t = -6 ± √36-4(-16)(4) / 2(-16)

t =  6±2√73 / 32

t =  6+2√73 / 32 or t =  6-2√73 / 32

t = 0.722 or t = -0.347

since time can't be in negative so we reject  t = -0.347

Answer:

SSS Congruence Theorem

Step-by-step explanation:

sss congruence theorem. you can get this answer by marking all the givens.

Answer:

The Circumference is 62.80, The Area is 100 inches squared

Step-by-step explanation:

Diameter is 20 so the Radius is half of thats.

D=20 In

R=10 in

Circumference is diameter multipied by pi

so you multiply 20 by 3.14 and you get 62.80 inches

To Find Area you have to multiply the radius times it self. so 10×10 whoch equals 100.

so the area is 100 inches squared.

Answer:

Statement:                                                       Reason:

ΔNQM and ΔNQP are right triangle           Definition of a right triangle

SinM = h/p  and SinP = h/m                        Definition of sine ratio

p sin M = m sin P                                          Substitution property of equality

p sin M / pm = msinP / pm                           Division property of equality.

Answer:

[tex]\large\boxed{C=16\pi\approx50.24}[/tex]

Step-by-step explanation:

The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

r - radius

We have r = 8. Substitute:

[tex]C=2\pi(8)=16\pi[/tex]

[tex]\pi\approx3.14\to C\approx(16)(3.14)=50.24[/tex]

Answer:

50.24 units

Step-by-step explanation:

Hope this helps!

Answer:

All of them are wrong, the answer is 3/5

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

0.6 = 6 / 10 = 3 / 5

Answer

Their combined score is 331 points

Explanation

Determine each person's score

Collin score: 139

Brian: 139 + 53 = 192

Add the scores together

139 + 192 = 331

Colin scored 139 points and Brian scored 53 points more than Colin, which is 192 points. Adding Colin's and Brian's scores gives a combined score of 331 points.

In the game of darts, Colin and Brian scored different points. We know that Colin scored 139 points. As per the information given, Brian scored 53 points more than Colin. So, to find out how many points Brian scored, we can add 53 to Colin's score of 139, which gives us 192 points for Brian.

To find out the combined score of Colin and Brian, we simply add Colin's score to Brian's score. So, 139 (Colin's score) plus 192 (Brian's score) equals 331.

Therefore, the combined score of Colin and Brian is 331 points.

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Step-by-step explanation:

hope it helps you!!!!!!!

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

√72-3×√12+√192

As we have

[tex]\sqrt{72}=6\sqrt{2}[/tex]

[tex]\sqrt{12}=6\sqrt{2}[/tex]

[tex]\sqrt{192}=8\sqrt{3}[/tex]

So, our equation becomes

[tex]6\sqrt{2}-3\times 2\sqrt{3}+8\sqrt{3}\\\\=6\sqrt{2}-6\sqrt{3}+8\sqrt{3}\\\\=6\sqrt{2}+2\sqrt{3}[/tex]

Hence, Option 'A' is correct.

Answer:

[tex]\huge \boxed{x<\frac{12}{7}}[/tex]

Step-by-step explanation:

First thing you do is add by 2 from both sides of equation.

[tex]\displaystyle 7x-2+2<10+2[/tex]

Simplify.

[tex]\displaystyle 10+2=12[/tex]

[tex]\displaystyle 7x<12[/tex]

Divide by 7 from both sides of equation.

[tex]\displaystyle \frac{7x}{7}<\frac{12}{7}[/tex]

Simplify, to find the answer.

[tex]\displaystyle\huge\boxed{ x<\frac{12}{7}}[/tex], which is our answer.

The inequation 7x - 2 < 10 is x < 12/7.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The inequation 7x - 2 < 10 is,

7x < 12.

x < 12/7.

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Answer:

B and C are true.

The statement (B)  Mr. Ehrig is at the lowest elevation, and statement (C) Mrs. White is closest to street level are correct.

The distance up or down a specified point of comparison, most often a reference spherical geometry, a mathematical model of the Earth's sea level as an equipotential gravitational surface, determines a physical location's elevation.

We have:

Mr. Harmin is sitting in his office on the third floor of a building.

He is at an elevation of 30 feet in relation to street level.

Mr. Ehrig is in the parking garage at an elevation of –35 feet, and Mrs. White is in the parking garage at an elevation of –25 feet in relation to street level.

From the above data we can say Mr. Ehrig is at the lowest elevation which is -35 and Mrs. White is closest to street level which is 25 feet

Thus, the statement (B)  Mr. Ehrig is at the lowest elevation, and statement (C) Mrs. White is closest to street level are correct.

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Answer:

Assuming that Seiki wants to be as close to 40 minutes are possible (to the nearest minute), She would want to spend 7 minutes on each of the 3 cardio machines

Step-by-step explanation:

With Seiki wanting to spend at least 40 minutes exercising and spending 20 minutes lifting weights, she needs to spend at least 20 more minutes on her cardio. If we are looking for a number that is divisible by 3, that would mean that she would spend 21 minutes exercising.

Seiki should spend at least 10 minutes on each cardio machine after her 20-minute weightlifting session to meet continuous exercise and weekly cumulative goals, therefore surpassing her minimum of 40 minutes of exercise and aligning with health recommendations.

Time Allocation For Cardio Machines

Seiki wants to spend more than 40 minutes exercising, with 20 minutes devoted to lifting weights and the rest on three different cardio machines. To calculate the time she should spend on each cardio machine, we first deduct the weightlifting time from the total minimum exercise time.

This leaves us with more than 20 minutes for cardio (40 minutes total - 20 minutes of weights = 20+ minutes for cardio).

Since she wants to spend the same amount of time on each machine, we divide the remaining time by three. Let's assume Seiki decides on the minimum of 21 minutes for cardio to exceed the 40 minutes total.

So, 21 minutes divided by three cardio machines equals seven minutes per machine.

However, to align with the recommendations for sessions to be continuous for 10 minutes or more and the goal of a cumulative total of 150-300 minutes from at least three days a week, Seiki should aim for at least 10 minutes on each machine.

This would translate to at least a total of 30 minutes on cardio machines, bringing her workout to a minimum of 50 minutes (20 minutes of weights + 30 minutes of cardio).

Remember, these calculations are based on the minimum requirements, and Seiki can adjust her workout duration on the cardio machines to suit her fitness goals and available time.

The correct answer between all

the choices given is the first choice or letter A. I am hoping that this answer

Answer: Option 'A' is correct

Step-by-step explanation:

Since we have given that

A be the event that Ashley drives faster than the speed limit.

P(A)=0.34

B be the event that he gets a speeding ticket.

P(B)=0.22

Probability that he drives faster than the speed limit, given that he has gotten a speeding ticket i.e.

P(A|B)=1

but for A and B to be independent ,

P(A).P(B)= P(A and B)

0.34×0.22=0.0748

but,

[tex]P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}\\\\1=\dfrac{P(A\cap B)}{0.22}\\\\0.22=P(A\cap B)[/tex]

So, P(A∩B) does not satisfy the condition.

Hence, A and B are not independent events.

Option 'A' is correct as they are dependent events.

Answer:

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.

Step-by-step explanation:

Exponential equations are usually in the form;

[tex]y=ab^{x}[/tex]

where;

a is the initial value, that is the value of y when x is 0,

b is the growth or decay factor and also the base of the exponential function

If b>1, then it is an exponential growth function and the values of y keep getting bigger.

if 0<b<1, then it is an exponential decay function and the y values keep getting smaller as x increases.

In the function given;

[tex]y=(\frac{1}{2})^{x}[/tex]

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.

In order to justify our prediction, we can simply obtain the graph of the function and check on how x and y vary.

From the attachment below we can see that the values of y become increasingly smaller as the values of x increases in magnitude which justifies our predictions.

The function y = [tex](1/2)^x[/tex] represents an exponential decay because the base (1/2) is a fraction less than 1.

The function y = [tex](1/2)^x[/tex] represents an exponential decay model because it is in the form y = [tex]a^x[/tex] where a is a fraction between 0 and 1 (0 < a < 1).

An exponential decay function describes a situation where the quantity decreases over time, and the rate of decrease slows down as the quantity gets smaller.

In contrast, if a were greater than 1, it would represent exponential growth, indicating that the quantity increases over time, and the rate of increase accelerates as the quantity grows larger.

So, since (1/2) is less than 1, the function shows exponential decay.

Answer:

P =26%

Step-by-step explanation:

In this problem we have the ages of all new employees hired during the last 10 years of normally distributed.

We know that the mean is [tex]\mu = 35[/tex] years and standard deviation is [tex]\sigma = 10[/tex] years

By definition we know that if we take a sample of size n of a population with normal distribution, then the sample will also have a normal distribution with a mean

[tex]\mu_m = \mu[/tex]

And with standard deviation

[tex]\sigma_m = \frac{\sigma}{\sqrt{n}}[/tex]

Then the average of the sample will be

[tex]\mu_m = 35\ years[/tex]

And the standard deviation of the sample will be

[tex]\sigma_m =\frac{10}{\sqrt{10}} = 3.1622[/tex]

Now we look for the probability that the mean of the sample is greater than or equal to 37.

This is

[tex]P({\displaystyle{\overline {x}}}\geq 37)[/tex]

To find this probability we find the Z-score

[tex]Z = \frac{{\displaystyle{\overline{x}}} -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z = \frac{37 -35}{\frac{10}{\sqrt{10}}} = 0.63[/tex]

So

[tex]P({\displaystyle{\overline {x}}}\geq 37) = P(\frac{{\displaystyle{\overline {x}}}-\mu}{\frac{\sigma}{\sqrt{n}}}\geq\frac{37-35}{\frac{10}{\sqrt{10}}}) = P(Z\geq0.63)[/tex]

We know that

[tex]P(Z\geq0.63)=1-P(Z<0.63)[/tex]

Looking in the normal table we have:

[tex]P(Z\geq0.63)=1-0.736\\\\P(Z\geq0.63) = 0.264[/tex]

Finally P = 26%

To find the probability that the sample mean age of 10 employees is at least 37, we can use the Central Limit Theorem and standardize the sample mean. The probability is approximately 2.28%.

To solve this problem, we need to use the Central Limit Theorem, which states that the sample mean of a large enough sample size will be approximately normally distributed regardless of the shape of the population distribution.

In this case, the mean age of new employees is normally distributed with a mean of 35 and a standard deviation of 10. We want to find the probability that the sample mean age of 10 employees is at least 37.

To find this probability, we first need to standardize the sample mean using the formula z = (x - μ) / (σ / sqrt(n)), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Using this formula, we have z = (37 - 35) / (10 / sqrt(10)) = 2 * sqrt(10).

From a standard normal distribution table, we can find that the probability of getting a z-score less than 2 * sqrt(10) is approximately 1 - 0.0228 = 0.9772. However, we want the probability of getting a sample mean at least 37, so we subtract this probability from 1 to get 1 - 0.9772 ≈ 0.0228.

Therefore, the probability that the sample mean age of 10 employees will be at least 37 is approximately 2.28%.

C. Are simmetrical

A. is false because only quadrilaterals have 4 sides

B. is false because polygons like equilateral triangle and regular pentagon have an odd number of sides

D. A polygon doesn't have an unique size. It changes every time, cause we can decide its size

Answer: The answer is C. are symmetrical.

Step-by-step explanation: There is a line of symmetry,  which is a line where one half of the polygon is a mirror image of the other side. This means that even if a polygon has 5 sides, for example, then it would still be symmetrical.

Answer:

Part 1) The volume of the ball is 256 cm³

Part 2) The radius of the ball is 3.94 cm

Step-by-step explanation:

Part 1) we know that

The density is equal to divide the mass by the volume

D=m/V

Solve for the volume

The volume is equal to divide the mass by the density

V=m/D

In this problem we have

m=128 g

D=0.5 g/cm³

substitute

V=128/0.5=256 cm³

Part 2) what is the radius of the ball?

we know that

The volume of the sphere (ball) is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]V=256\ cm^{3}[/tex]

assume

[tex]\pi =3.14[/tex]

substitute and solve for r

[tex]256=\frac{4}{3}(3.14)r^{3}[/tex]

[tex]768=(12.56)r^{3}[/tex]

[tex]r^{3}=768/(12.56)[/tex]

[tex]r=3.94\ cm[/tex]

:) Hope this answers your question :)

Answer:

2(4x + 1)(x + 1)

Step-by-step explanation:

Given

8x² + 10x + 2 ← factor out 2 from each term

= 2(4x² + 5x + 1)

To factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × 1 = 4 and sum = + 5

The factors are + 1 and + 4

Use these factors to split the x - term

4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )

= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)

= (4x + 1)(x + 1), thus

4x² + 5x + 1 = (4x + 1)(x + 1) and

8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form

Answer:

Second option

Step-by-step explanation:

Option 1:

1. Original cost: 90% * 1000 = $900

2. Interest: A = P(1 + rt), A = amount, P = original amount, r = rate, t = years

Plug in: A = 900(1 + 0.05*3)

Multiply + add: A = 900(1.15)

Multiply: A = $1035

Option 2: $1000

So, paying full price upfront will save more money if all goes to plan.

Answer:

3^4, she raised it to the 4th power

Step-by-step explanation:

3^x+19=100

-19

3^x=81

We can make a table now to find what power of three = 81

Powers of three table

3^1=3 3^2=9 3^3=27 3^4=81

The power she raised the number to is 4.

This is a mathematic expression or statement often used to represent word problems.

To solve this question, we need to write an equation to represent this problem.

[tex]3^x + 19 = 100\\ [/tex]

The equation above represents the problem.

Let's solve for x

[tex]3^x + 19 = 100\\ [/tex]

collect like terms

[tex]3^x = 100 - 19\\ 3^x = 81\\ [/tex]

[tex]3^x = 81\\ x = 4[/tex]

What we did above is that how many power are we going to raise 3 to give us 81 and the answer is 4 times.

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ANSWER

B(r,0)

or

B(0,s)

EXPLANATION

In rectangle ABCD, the coordinates of A are (0, 0) and of C are (r, s).

When we name the triangle in a clockwise direction.

Then B must bear the y-coordinate of A and bear the x-coordinate of C.

This gives us (r,0)

When we name the triangle in an anticlockwise direction.

Then B must bear the x-coordinate of A and bear the y-coordinate of C.

This gives us (0,s)

Answer: the difference between the max is 3200.

Step-by-step explanation:

20000-16800= 3200

The difference between the max is 3200.

Subtract the smaller of the two numbers from the larger of the two numbers to find the difference between them. The difference between the two numbers is the sum's product. For instance, you could calculate the difference between 100 and 45 as follows: 100 - 45 = 55.

Given

20,000 - 16,800 = 3200

therefore, The difference between the max is 3200.

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Answer:

C

Step-by-step explanation:

Quadratic model is shaped like a "U", or a parabola

Quartic model is shaped like a "W", highest degree is 4 (x^4).

Linear model is a line.

Cubic model is x^3, shaped like a curvy snake.

Looking at the graph, it clearly shows a line. So, linear model is the answer.

C is the correct answer.

Answer:

y = -3x² - 24 x + 50

Step-by-step explanation:

y - 2 = - 3(x+4)²

y - 2 = -3(x²+8x+16)

y - 2 = -3x² -24x +48

y = -3x² - 24 x + 50

ANSWER

The standard form is

.

[tex]y = - 3 {x}^{2} - 24x - 46[/tex]

EXPLANATION

The given function is

[tex]y - 2 = - 3(x + 4)^{2} [/tex]

The standard form is given by

[tex]y =a {x}^{2} + bx + c[/tex]

We expand to obtain:

[tex]y - 2 = - 3( {x}^{2} + 8x + 16)[/tex]

We expand the parenthesis to obtain:

[tex]y - 2 = - 3 {x}^{2} - 24x - 48[/tex]

Group the similar terms to obtain:

[tex]y = - 3 {x}^{2} - 24x - 48 + 2[/tex]

[tex]y = - 3 {x}^{2} - 24x - 46[/tex]

The standard form is

[tex]y = - 3 {x}^{2} - 24x - 46[/tex]

ANSWER

The area of the base is 14.5π in²

EXPLANATION

The volume of a cylinder is given by

[tex]Volume =base\:area \times height[/tex]

Or

V=Bh

It was given that the volume of the cylinder is 174π in³.

The height was given as 12 inches.

We substitute to get,

174π=12B

Divide both sides by 12 to get:

B=14.5π in²

Hence the area of the base is 14.5π in²

Answer:

14.5

Step-by-step explanation:

Answer:

reflection only

rotation, then translation

Step-by-step explanation:reflection only       rotation, then translation

Answer:

Transformation which can be used for mapping of one triangle to another are;

Step-by-step explanation:

Given information:

We need to map one triangle to another ;

Hence, for mapping of one triangle to another,

The transformation which can be used from the given options are;

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[tex]y=\sqrt{x}[/tex] is the square root function. The graph of this function has been attached below. As you can see, this is in fact a function it passes the Vertical Line Test for Functions that establishes that if a vertical line intersects a graph at most one point, then this is a function. From the square root function we know:

Answer:

b on edge

Step-by-step explanation: