50 Points! Multiple choice algebra question. Shen is simplifying the expression (3x^4+4x^2) (x^3-2x^2-1). Which of the following shows the correct product. Photo attached. Thank you!

Step-by-step explanation:

Ok so lets begin with what we know. Each guest is $20.50, 144 guests arrived, and they started with $2,500.

The equation would be 2,500-20.5(144)

20.5(144)=$2,952

Now the issue here is that the payment is more than the account balance and so im guessing either they want the answer as $0, they want the negative value which is -$452, or there was another part before this with the old account info.

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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Answer:

D) any number that isn't a perfect square is irrational

Step-by-step explanation:

Answer:

D                              PLEASE MARK BRANLIEST

Answer:

in the expression 4x - 3y, when x = 2 and y = -5, the result is 23.

Step-by-step explanation:

4x - 3y

Substitute variables.

4(2) - 3(-5)

Multiply 4 and 2.

8 - 3(-5)

Multiply -3 and -5.

8 + 15

Add 8 and 15.

23

9514 1404 393

Answer:

  a) 31

  b) t = 2

Step-by-step explanation:

Put the given value into the equation and solve for the unknown.

a) C(4) = 4·4 +15

  C(4) = 31

__

b) 23 = 4t +15

  8 = 4t

  2 = t

Answer:

23.8

Step-by-step explanation:

68.4 - 44.6 = 23.8

Answer:

QR is 23.8

because 68.4 - 44.6 =23.8

It will take 3.5 hours for the two cars to be 280 miles apart.

To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.

Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:

Relative velocity = Velocity of car traveling east + Velocity of car traveling west

Relative velocity = 60 mph + 20 mph

Relative velocity = 80 mph

The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.

To find the time it takes for them to be 280 miles apart, we can use the formula:

Time = Distance / Speed

Plugging in the values, we have:

Time = 280 miles / 80 mph

Time = 3.5 hours

Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.

During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.

The sum of these distances is indeed 280 miles, confirming the result.

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Explanation:

The relative frequency of an outcome is the number of times you get this outcome divided by the number of times the experiment was repeated:

To find it as a percentage we just have to multiply by 100:

Answer:

42.5%

Answer:

149 sq. ft

Step-by-step explanation:

For the triangle:

Base = 16-9 = 7 ft

Area of Triangle = 1/2 of  b.h

= 1/2 of 7 * 6

= 21 sq. ft

Area of Rectangle = l.b

= 5 * 16

= 128 sq. ft

Total Area = 149 sq. ft

Answer:

Step-by-step explanation:

Given

Points (-1,7) and (1,3)

Formula

m = (y2 = y1) / (x2 - x1)

y2 = 7

y1 = 3

x2 = - 1

x1 = 1

Solution

m = (7 - 3) / (-1 - 1)

m = 4 / - 2

m = - 2

Now use either one of the points to get b in y = mx + b

x = 1

y = 3

m = - 2

y = mx + b

3 = -2 (1) + b

3 = -2 + b

b = 3 + 2

b = 5

Equation: y = - 2x + 5

Second question.

y = -2 + 1  

Think money. You have a dollar in your pocket, but you owe your mom 2 dollars. Where are you.

y = -2 + 1

y = - 1

Answer:

15

Step-by-step explanation:

Let the probability of picking an orange = P(O), and the probability of picking a strawberry = P(S),

Based on the question, he picked an orange first and the probability of picking that is

P(O) = 12/50

Then he picked a strawberry on the second pick, the probability of picking the strawberry is P(S) and we'll find that later.

The probability of picking orange then strawberry with replacement is

P(O) × P(S) = 9/125

Substitute the P(O)=12/50,

12/50 × P(S) = 9/125

P(S) = 3/10

Then by finding the number of strawberry candies, we'll just have to multiply P(S) with the total number of candies, i.e.

Number of strawberry candy

= 3/10 × 50

= 15

Answer:

\(\Large \boxed{\frac{42}{23}}\)

Step-by-step explanation:

\(\displaystyle \frac{21}{40} \div \frac{23}{80}\)

Performing reciprocal of the second fraction.

\(\Rightarrow \displaystyle \frac{21}{40} \cdot \frac{80}{23}\)

Multiplying both fractions.

\(\Rightarrow \displaystyle \frac{1680}{920}\)

Simplifying the fraction.

\(\Rightarrow \displaystyle \frac{42(40)}{23(40)}\)

\(\Rightarrow \displaystyle \frac{42}{23}\)

True.

Hope this helped!

Answer:

I would say true

Step-by-step explanation:

Answer:

No, Susan is not right.

Step-by-step explanation:

Susan's time = 5:55

Jamal's time = 11:42

Half of Jamals time = 5:51

5:55<5:51

Susan is not right

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(5,-3) and (-4,7)

The midpoint is

We have the final answer as

Hope this helps you

Answer

$9

first take $88 and subtract what you have left which is $16,

88-16 = 72

Now take 72 and divide by number of books bought which was 8

72/8 = 9

So each book cost $9

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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If line l is a perpendicular bisector of by the converse of the perpendicular bisector theorem.

Then,

AB = AC

Replacing

x+7.5 =3x-10.9

Solve for x

7.5+10.9 = -x+3x

18.4 = 2x

Change sides

2x = 18.4

x= 18.4/2

x = 9.2

Hence, the correct answer is x=9.2

Answer:

x = 2

y = -5

Step-by-step explanation:

1. y = -19 + 7x

2. -2x + 3(-19 + 7x) = -19

3. -2x - 57 + 21x = -19

4. 19x = 38

5. x = 38/19 = 2

6. -7*2 + y = -19

7. y = -19 + 14

8. y = -5

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean weight loss yield of the powder diet and μ2 be the mean weight loss yield of the liquid diet.

The random variable is μ1 - μ2 = difference in the mean weight loss yield of the powder diet and the mean weight loss yield of the liquid diet.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This us a left tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 42

μ2 = 45

s1 = 12

s2 = 14

n1 = 49

n2 = 36

t = (42 - 45)/√(12²/49 + 14²/36)

t = - 1.04

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [12²/49 + 14²/36]²/[(1/49 - 1)(12²/49)² + (1/36 - 1)(14²/36)²] = 70.28/1.03

df = 68

We would determine the probability value from the t test calculator. It becomes

p value = 0.15

Assuming a significance level of 0.05, then

Since alpha, 0.05 < than the p value, 0.15, then we would fail to reject the null hypothesis. Therefore, we can conclude that at a 5% significance level, the liquid diet does not yield a higher mean weight loss than the powder diet.

Answer:

0.3 recurring so 0.33333333333333333333333333333333333333

and....

__________________________________________________________

How to Overcome Insecurity

Step 1

The first step of Voice Therapy involves vocalizing your self-critical thoughts in the second person.You can also write down these thoughts.

Step 2

In the second step, you can start to think and talk about the insights and reactions you have to exposing these mean thoughts.

Step 3

People often struggle with the third step of this process, because it involves standing up to long-held beliefs and insecurities about oneself. You will answer back to your voice attacks, expressing your real point of view.

Step 4

In step five of Voice Therapy, you start to make a connection between how the voice attacks are influencing your present-day behaviors.

Step 5

The final step involves making a plan to change these behaviors. If insecurity is keeping you from asking someone on a date or going after a promotion, it’s time to do the actions anyway. If you’re indulging in self-hating thoughts that encourage you to engage in self-destructive behaviors, it’s time to interrupt these behaviors and unleash the real you.

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Stay safe and healthy

Thank You

Answer:

This is how i had my answer

Hope it helped

Answer:

r=6

Step-by-step explanation:

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let \(\mu\) = mean power consumption for microwave ovens.

So, Null Hypothesis, \(H_0\) : \(\mu\) \(\leq\) 250 W     {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, \(H_A\) : \(\mu\) > 250 W     {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                                T.S. =  \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\)  ~ N(0,1)

where, \(\bar X\) = sample mean power consumption for ovens = 257.3 W

            σ = population standard deviation = 15 W

            n = sample of microwave ovens = 20

So, the test statistics  =  \(\frac{257.3-250}{\frac{15}{\sqrt{20} } }\)

                                      =  2.176

The value of z test statistics is 2.176.

Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

The angle measure of the minor arc is 62°

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

The diameter is the length of the line that passes through the center circle touching two points on the circle's circumference.

The arc of a circle is the part or segment of the circumference of a circle.m∠EFG = minor arc EGminor arc EG = 62°

The measure of the arc is 62°

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The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

It is false that if the rank of the augmented matrix of a system of n linear equations in n unknowns is greater than the rank of the matrix of coefficients, then the matrix of coefficients is nonsingular

The augmented matrix is an extension of a matrix in which we add a column ( non homogeneous part of the system)

Say , Ax = b

Here , b is column part

So , Augmented matrix will be [ A : b ]

The Rank of augmented matrix can be found by performing elementary row operations on a augmented matrix and counting the number of the rows without zero comparing the rank of an augmented matrix

The rank of coefficient matrix can determined if there is a  solution to the system of solution

In the question this statement,

If the rank of the augmented matrix of a system of n linear equations in n unknowns is greater than the rank of the matrix of coefficients, then the matrix of coefficients is nonsingular is false

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