4. Factor the expression.
4b2 + 28b + 49
QA (2b + 7)2
OB (2b - 72
C (-2b + 7)2
OD 2(b - 7)2​

Options

[tex]2(vt -d)=at^2[/tex]

[tex]a=\frac{2(d - vt)}{t^2}[/tex]

[tex]2(d-vt) = at^2[/tex]

[tex]vt-d=\frac{1}{2} at^2[/tex]

[tex]d-vt = -\frac{1}{2}at^2[/tex]

[tex]a=\frac{2(vt-d)}{t^2}[/tex]

Answer:

See Explanation below

Step-by-step explanation:

Given

[tex]d = vt - \frac{1}{2}at^2[/tex]

Required

Steps to find a

To solve for a;

The step 1 is :

[tex]d-vt = -\frac{1}{2}at^2[/tex]

This is achieved by adding vt to both sides

The step 2 is:

[tex]vt-d=\frac{1}{2} at^2[/tex]

This is achieved by multiply both sides by -1

The step 3 is:

[tex]2(vt -d)=at^2[/tex]

This is achieved by multiplying both sides by 2

The step 4 is:

[tex]a=\frac{2(vt-d)}{t^2}[/tex]

This is achieved by dividing both sides by t²

Note that, not all steps in the option are used because they are either incorrect or not necessary

Answer:

for edmentum the answer is

Box 1: d-vt=1/2at^2

Box 2: vt-d=1/2at^2

Box 3: 2(vt-d)/t^2

Step-by-step explanation: Almost certain after scrounging Brainly.

Good luck!

Answer:

When x = 10, or when f(x) = 1024, or any value greater than that.

Step-by-step explanation:

For f(x): 1x = 2, 2x = 4, 3x = 8, 4x = 16, 5x = 32, 6x = 64, 7x = 128, 8x = 256, 9x = 512, 10x = 1024

for g(x) 1x = 10, 2x = 19 3x = 38, 4x = 72, 5x = 128, 6x = 230, 7x = 358, 8x = 528, 9x = 746, 10x = 1018

Answer:

When x = 10, or when f(x) = 1024, or any value greater than that.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Since sine and cosine are cofunctions of each other:

[tex]\sin (\theta)= \cos (90-\theta)[/tex]

and vice versa. Therefore:

[tex]18+x=90-58 \\\\18+x=32 \\\\x=32-18=14[/tex]

Hope this helps!

Answer:

60

Step-by-step explanation:

There are 5 letters that can be first.

There are 4 letters that can be second.

There are 3 letters that can be third.

The number of permutations is 5×4×3 = 60.

This is the steps for equation solving for the value of x,

x/3-7 = 11

now 7 goes to the other side of equation by changing the sign from - to +,

x/3 = 11 + 7

x/3 = 18

now when we multiply both sides of equation with 3 or 3 goes to the other side of equation and multiply with 18 leaving x alone here for finding the value of x,

and we get, x = 54

at the end of equation we get x = 54, if the equation was in the form 3x - 7 = 11, then we will get x = 6

Answer:

4 cm, 8 cm, 10 cm

Step-by-step explanation:

For a triangle to exist, two sides added up must be greater than the third side. The only quantities that satisfy this relationship is the second option.

Answer:

  A.  The weekly usage of both coupons is decreasing and approaching a horizontal asymptote as x gets larger.

Step-by-step explanation:

You can see that f(x) is a decreasing exponential function because the base is 0.75, a value less than 1. The horizontal asymptote is 10, the constant added to the exponential term.

Obviously, g(x) is decreasing. If we assume it is an exponential function, we know there is a horizontal asymptote. (Every exponential function has a horizontal asymptote.)

__

If you use your graphing calculator's exponential regression function, you can find a good model for g(x) is ...

  g(x) = 950·0.7^x +12

That is, it is an exponential function that decays faster than f(x), but has a higher horizontal asymptote.

_____

Both functions are decreasing and approaching horizontal asymptotes.

Question:

Flight 4581 travels daily from Pittsburgh to San Antonio. The flight is due into San Antonio at 5:07 p.m. The following list gives the Flight 4581 arrival time relative to 5:07 p.m. (in minutes) for a selection of 9 days. (A negative number means that the flight arrived early.) 21, 39, 37, 25, 6,-6, -4, 40, 37 Send data to Excel

(a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. an integer, round your answer to one decimal place.

b) How many modes does the data set have? and what are their values

Answer:

a) 21.2

b) Value of mode = 37

It contains just one mode

Step-by-step explanation:

Given:

x = 21, 39, 37, 25, 6,-6, -4, 40, 37

n = 9

a) Find the mean

Mean is the average value of a dataset.

Mean = Σx/n

Mean = [tex] \frac{21+39+37+25+6+(-6)+(-4)+40+37}{n} [/tex]

[tex] = \frac{195}{9} [/tex]

[tex] = 21.667 [/tex]

The question says one decimal place.

Therefore, mean = 21.7

b) The mode of a dataset is the value that appears most frequently.

We have the following datasets:

21, 39, 37, 25, 6,-6, -4, 40, 37

The value that appears most frequently here is 37.

37 appeared twice while the rest appeared just once.

Therefore the dataset contains just one mode

Answer:

Change 4020 to 4000 + 25.

Then use the distributive property.

4025 * 5 = (4000 + 25) * 5 = 4000 * 5 + 25 * 5 = 20,000 + 125 = 20,125

Answer:

The length of the rectangle is 6.

Step-by-step explanation:

Given: The diagonal of a rectangle is 10 and the height is 8.

Please understand, that a diagonal, divides the rectangle into two tringles.

To find the length of the rectangle, you can use Pythagoras on one of the right sided triangles, because the length of the triangle, is also the length of the rectangle!

EXTRA:

If you know the special 3 4 5 triangle, a so called Pythagorean Triple, then you can "see" the simularity between the numbers.

Instead of 5, a diagonal of 10 is given (factor of 2 bigger).

Instead of 4, the height of 8 is given (factor of 2 bigger). By scaling the Pythagorean Triple 3 4 5 by a factor of 2, you get the numbers 6 8 10. Could it be, that the number we need to find, is six?

Try to verify, by calculating the missing number (which is the length of the rectangle we are looking for).

a² + b² = c²

a = length (and is unknown)

b = height = 8

c = hypothenusa/diagonal = 10

Substitute the numbers given:

a² + 8² = 10²

Subtract 8² left and right of the = sign.

a² +8² -8² = 10² - 8²

a² + 0 = 100 - 64

a² = 36

a = + - √36

a = + - 6

EXTRA:

You can ignore the -√36 = -6 part of the solution, because a length of -6 has no meaning here.

a = 6

So, the length of the triangle is 6 and thus, the length of the rectangle is also 6.

Answer:

  C.  The graph of g is the graph of f shifted 2 units down

Step-by-step explanation:

The transformation ...

  g(x) = f(x -h) +k

represents a translation h units right and k units up.

You have h=0 and k=-2, so the graph is shifted 0 units right and 2 units the opposite of up.

The graph of g is the graph of f shifted 2 units down.

Answer:

C

Step-by-step explanation:

I just took the test on edmentum

Answer:

The sampling method that was used in the scenario is systematic sampling.

Step-by-step explanation:

Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and following a static, periodic interval.  

For instance, consider a study where the researcher first selects a name randomly from the alphabetized order and then follow a fixed pattern of selecting every 10th person from the population.

In this case, a study was done to determine the age, the number of times per week, and the duration (amount of time) of residents using a local park in San Antonio, Texas.

The first house was randomly selected from the neighborhood around the park.

Then, the resident of every 8th house in the neighborhood around the park was interviewed.

So, the researcher selects a random house and then keep on selecting the houses in an interval of 8. This way the next house selected with be the 8th, the next the 16th, and so on.

Thus, the sampling method that was used in the scenario is systematic sampling.

Answer:

[tex]1:3[/tex]

Step-by-step explanation:

[tex]5:36=5/36[/tex]

[tex]\approx 0.13888888888[/tex]

[tex]2:9=2/9[/tex]

[tex]\approx 0.22222222222[/tex]

[tex]3:18=1/6[/tex]

[tex]\approx 0.16666666666[/tex]

[tex]1:3=1/3[/tex]

[tex]\approx 0.33333333333[/tex]

Answer:

1:3

Step-by-step explanation:

GCF of 36, 9, 18, 3 is 36

        5:36

2:9=  8:36

3:18= 6:36

1:3=  12:36

1:3 is the largest ratio.

Answer:

  [tex]\dfrac{1}{3}=0.\overline{3}[/tex]

Step-by-step explanation:

Since a single digit is repeated in each case, and since the repeat starts at the decimal point, the fraction corresponding to the repeated digit is that digit divided by 9.

  [tex]0.\overline{5}+0.\overline{1}-0.\overline{3}=\dfrac{5}{9}+\dfrac{1}{9}-\dfrac{3}{9}=\dfrac{5+1-3}{9}=\dfrac{3}{9}\\\\=\boxed{\dfrac{1}{3}}[/tex]

_____

Comment on equivalents to repeating decimals

The number of 9s in the denominator equals the number of repeated digits.

  0.2727(repeated) = 27/99 = 3/11 . . . . . 2 repeated digits

Answer: Store B

Step-by-step explanation:

180 / 3 = 60. 180 - 60= $120. Store A cost is $120.

110 * 0.9 = $99. Store B's cost is $99.

Answer:

Store B

Step-by-step explanation:

Store A the price would be about $120.60

Store B price would be about $99

To find store a price, you first find the discount, so

0.33 x 180 = 59.40

Then subtract this from the original price to know the total after the discount

180-59.40=120.60

Do the same thing with the other Store

110 x 0.10 = 11

110-11=99

Answer: First option.

Step-by-step explanation:

As the triangle is reflected over the line EG, this means that the distance between each common point of the triangles and the line must be the same for both triangles.

This means that the distance between B and E, is the same distance as the distance between B' and E.

Now, as you know, the midpoint of a segment is a point such that the distance between that point and each endpoint is the same.

So, in the linea AA', the points A and A' are the endpoints, and because F lies in the line of reflection, the distance between A and F is the same distance than in between A' and F.

So F is the midpoint in  the line AA'

The correct option would be the first one, F is the midpoint of AA' because the line EG bisects AA', and F is colinear to E and G.

Answer:

A personality test may be given to assess individual behavior patterns. A personality test may be given to assess individual behavior patterns. This answer has been confirmed as correct and helpful.

Step-by-step explanation:

hopes this helps

Answer:

Interests, values, skill set and basic personality

Step-by-step explanation:

Personality tests are mostly used as an assessment tool be HR managers and employers during the interview process. They can provide a potential employer with information about your interests, values, skill set and even basic personality, which can be very useful to help an employer make a decision about whether you are the best fit for a position.

I hope this helped. I am sorry if you get this wrong.

Answer:

11779 ft

Step-by-step explanation:

We are given that

[tex]\theta=23^{\circ}[/tex]

Distance between tower and plane,d=5000 ft

We have to find the distance between the plane and bird.

Let x  be the distance between bird and plane

We know that

[tex]tan\theta=\frac{perpendicular\;side}{Base}[/tex]

Using the formula

[tex]tan23=\frac{5000}{x}[/tex]

[tex]x=\frac{5000}{tan23}=11779.3 \approx 11779ft[/tex]

Hence, the distance between the plane and bird=11779 ft

Answer:

11779 ft

Step-by-step explanation:

We are given that

Distance between tower and plane,d=5000 ft

We have to find the distance between the plane and bird.

Let x  be the distance between bird and plane

We know that

Using the formula

Hence, the distance between the plane and bird=11779 ft

Answer: $16

Step-by-step explanation:

1.94 * 8 = 15.52

$15.52 rounds up to $16

Answer:

C. 12.3

Step-by-step explanation:

We should use Law of Cosines: c² = a² + b² -2abcosC

If that is the case, then EF is a, DF is b, and ∠F is c. We then plug the known variables in:

c² = 12² + 13² - 2(12)(13)cos59°

Plug that into the calc and you should get 12.2313, rounded to 12.3 as your final answer!

Answer:i need points

Step-by-step explanation:bleep bop boop

Answer:

Y = 1, E = -1, A= 1, R = -1

Step-by-step explanation:

YYYY - EEE + AA - R = 1234

First we would break down the digits in the whole numbers into their place value (thousands, hundreds, tens and units).

YYYY = 1000Y + 100Y +10Y + Y

EEE = 100E + 10E + E

-EEE = -100E - 10E - E

AA = 10A + A

R = R

-R = -R

1234 = 1000+200+30+4

Let's equate each place value for each of the numbers.

Thousands: 1000Y = 1000

Y = 1000/1000 = 1

Hundreds: 100Y - 100E = 200

100(1) - 100E = 200

-100E = 200-100

-100E= 100

E = -1

-EEE = -E(111)

Tens: 10Y - 10E + 10A = 30

10(1) - 10(-1) + 10A = 30

20+ 10A = 30

A = 10/10

A= 1

Units: Y - E + A - R = 4

1 - (-1) + 1 - R = 4

3-R = 4

R = 3-4 = -1

YYYY - EEE + AA - R = 1234

1111 - (-111) + 11 - (-1) = 1111+111+11+1 = 1234

All possible values of the digits Y, E, A, R are Y = 1, E = -1, A= 1, R = -1

Answer:

Y=2

E=9

A=1

R=0

Step-by-step explanation:

Let's check our work.

2,222 - 999 + 11 - 0

1,223 + 11 - 0

1,234 - 0

1,234

Also previous answerer how can digits be negative?

Answer:

The equation for an ellipse centered at the origin with foci at (-3, 0) and (+3, 0) and co-vertices at (0, -4) and (0, +4) is:

[tex]\frac{x^{2}}{7} + \frac{y_{2}}{16} = 1[/tex]

Step-by-step explanation:

An ellipse center at origin is modelled after the following expression:

[tex]\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1[/tex]

Where:

[tex]a[/tex], [tex]b[/tex] - Major and minor semi-axes, dimensionless.

The location of the two co-vertices are (0, - 4) and (0, + 4). The distance of the major semi-axis is found by means of the Pythagorean Theorem:

[tex]2\cdot b = \sqrt{(0-0)^{2}+ [4 - (-4)]^{2}}[/tex]

[tex]2\cdot b = \pm 8[/tex]

[tex]b = \pm 4[/tex]

The length of the major semi-axes can be calculated by knowing the distance between center and any focus (c) and the major semi-axis. First, the distance between center and any focus is determined by means of the Pythagorean Theorem:

[tex]2\cdot c = \sqrt{[3 - (-3)]^{2}+ (0-0)^{2}}[/tex]

[tex]2\cdot c = \pm 6[/tex]

[tex]c = \pm 3[/tex]

Now, the length of the minor semi-axis is given by the following Pythagorean identity:

[tex]a = \sqrt{b^{2}-c^{2}}[/tex]

[tex]a = \sqrt{4^{2}-3^{2}}[/tex]

[tex]a = \pm \sqrt{7}[/tex]

The equation for an ellipse centered at the origin with foci at (-3, 0) and (+3, 0) and co-vertices at (0, -4) and (0, +4) is:

[tex]\frac{x^{2}}{7} + \frac{y_{2}}{16} = 1[/tex]

Answer:

12

Step-by-step explanation:

it's 6 people and 2 cans of juice goes to each person so you can multiply 6× 2 and you get 12 . 12 cans of juice would be required to provide 6 people with 2 cans each .

Answer:

In the case of a Type I error, the null hypothesis would be wrongly rejected and the school district will conclude that the new technology is effective when it is not.

They will start to pay for the software when in fact it does not improve Algebra 1 skills.

Step-by-step explanation:

A Type I error happens when a true null hypothesis is rejected.

The probability of a Type I error is equal to the significance level, as it is the probabilty of getting an sample result with low probability but only due to chance, as the null hypothesis is in fact true.

In this scenario, the null hypothesis would represent the claim that the new technology does not make significant improvement.

In the case of a Type I error, this null hypothesis would be wrongly rejected and the school district will conclude that the new technology is effective when it is not.

They will start to pay for the software when in fact it does not improve Algebra 1 skills.

Answer:

No

Step-by-step explanation:

They are not congruent or similar because the figures themselves indicate no similar or congruent parts. Although they may seem congruent or similar, without telling us one thing, we cannot assume that they are similar or congruent.

Answer:

18:27

Step-by-step explanation:

2:3= 2 parts to 3 parts

Total is 5 parts

45/5 parts- each part is 9

2(9)=18

3(9)=27

Answer:

[tex]\£ 18: \£27[/tex]

Step-by-step explanation:

[tex]\frac{45}{2+3}[/tex]

[tex]\frac{45}{5}=9[/tex]

[tex]2:3[/tex]

[tex]2 \times 9 : 3 \times 9[/tex]

[tex]18:27[/tex]

Answer:

5/7

Step-by-step explanation:

There are 7 cards, all of which have an equal chance of being chosen.

And in this case, because there are 7 cards in total, they each have a 1/7 chance of being chosen. Because there are 5 cards greater than 4, you have a 5x1/7 chance =5/7 chance of choosing a number greater than 4.

P.S. If you need it as a percentage, then it is 71.428571%.

P.P.S. Remember if you like the answer then mark as brainliest thank you!

Answer:

0.1979 or 19.79%

Step-by-step explanation:

If 20% of all bulbs are defective, there is a 20% chance of each bulb being defective and an 80% chance of each bulb not being defective.

This is a binomial probability model with probability of success (bulb being defective) of p=0.20.

In order for the lot to pass inspection, it must contain either zero or one defective bulb, the probability of one of these scenarios occurring is:

[tex]Pass= P(d=0)+P(d=1)\\Pass= 0.80^{14}+14*0.20*0.80^{13}\\Pass=0.1979[/tex]

The probability that the lot will pass inspection is 0.1979 or 19.79%.

Answer:

50

Step-by-step explanation:

Both √100 and √25 are perfect squares:

√100 = 10

√25 = 5

10(5) = 50