Suppose that the area of a square lawn is 4x^2 + 16x + 16. What is the length of one side of the lawn?

Answer:0.8

Step-by-step explanation:

Answer

1/2 : 1/3 = 3/

2

= 1 1/

2

= 1.5

Step-by-step explanation:

1.5 is your answer

- #4 -

y = 12

[] First we will solve for x. Our angles with x are vertical angles, so they can be set equal to each other

8x - 61 = 6x - 13

8x - 48 = 6x

-48 = -2x

24 = x

[] Then, we will plug it into one of the angles (with x) and solve:

8x - 61

8(24) - 61

192 - 61 = 131

[] Last, these are supplementary angles so we can add them together and set it equal to 180:

131 + 3y + 1 = 180

132 + 2y = 180

2y = 48

y = 12

- #6 -

y = 22

[] First we will solve for x. These angles are vertial angles, so we can do the following:

9x + 42 = 15x

42 = 6x

7 = x -> x = 7

[] Then, we will plug it into one of the angles (with x) and solve:

15x = 15(7) = 105

[] Last, we will solve for y. These are supplementary angles so we can add them together and set it equal to 180:

4y - 13 + 105 = 180

4y + 92 = 180

4y = 88

y = 22

- #7 -

y = 9

[] First we will solve for x. They are supplementary angles so we can add them together and set it equal to 180:

x + 21 + 3x + 11 = 180

4x + 32 = 180

4x = 148

x = 37

[] Then, we will plug it into one of the angles (with x) and solve:

3x + 11 = 3(37) + 11 = 111 + 11 = 122

[] Last, we will solve for y. These are vertical angles, so they can be set equal to solve:

122 = 14y - 4

126 = 14y

9 = y

- See attached for where I pulled numbers from -

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Step-by-step explanation:

52 =2 , 4 , 13 , 26

36 = 2 , 3 , 4 , 6 , 9, 12 , 18

57 = 1 , 57

63 = 3 , 7 , 9 , 21

96 = 2 , 3 , 4 , 6, 8, 12, 16 , 24 , 32 , 48

The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.

The probability of X being less than 8 minutes is given by:

P(X ≤ 8) = 1 - P(X > 8)

= \(1 - (1 - e^{(-8/2)}^{5}\)

= 0.963

Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.

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Answer:

RM=12m

Step-by-step explanation:

You can set up a proportion of 9/15 on one side and RM/20 on the other. you would then cross multiply and solve for RM

4x - (x + 1) < 5x - 7

4x - x - 1) < 5x - 7

3x - 5x < -7 + 1

-2x < -6

2x > 6

x > 3

The angle to the horizontal of the final position of the projectile relative to its starting position is (2d + 20) degrees.

To find this angle, we use trigonometric rules. The given information tells us that the projectile travels a distance of (100 + 2a) m in a direction of (2b + 35) degrees from the horizontal, and then a further distance of (50 + 2c) m in a direction of (2d + 20) degrees from the horizontal. By drawing a diagram, we can see that the final position forms a triangle with the starting position and the two displacements. The angle we are looking for is the angle opposite to the second displacement, which is given as (2d + 20) degrees.

The vector that represents the final position of the projectile relative to the starting position can be determined using vector addition. We have two vectors representing the displacements: the first displacement vector is (100 + 2a) m at an angle of (2b + 35) degrees from the horizontal, and the second displacement vector is (50 + 2c) m at an angle of (2d + 20) degrees from the horizontal. By adding these two vectors using vector addition, we can find the resultant vector.

The angle between the vector representing the first motion and the vector of the full motion should match the angle determined in part (a), which is (2d + 20) degrees.

The distance from the starting point to the final position of the projectile can be confirmed using trigonometric methods by considering the triangle formed by the two displacements and the distance between the starting and final positions. This distance is most likely found in part (a) and can be calculated using trigonometric ratios.

Alternatively, the distance can be determined using vector methods by finding the magnitude of the resultant vector obtained from vector addition. The magnitude of a vector represents its length or distance. By calculating the magnitude of the resultant vector, we can confirm the distance from the starting point to the final position of the projectile.

by applying trigonometric rules and vector addition, we can determine the angle to the horizontal of the final position of the projectile, the vector representing the final position relative to the starting position, and confirm the distance using both trigonometric and vector methods.

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The central message of this excerpt is for a toy, becoming real is a difficult but worthwhile experience. The Option D.

The central message of this excerpt is that for a toy, becoming real is a difficult but worthwhile experience. The passage suggests that when a child loves a toy deeply and sincerely over a long period of time, the toy undergoes a transformation and becomes "real."

This implies that the toy transcends its initial purpose of being played with and gains a deeper sense of meaning and existence through the genuine love it receives. The message highlights the power of love and connection in bringing about a profound transformation in objects and beings.

Missing excerpt:

When a child loves you for a long, long time, not just to play with, but REALLY loves you, then you become real.

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As per the reflection rule, the location of point A is (-2,7)

Reflection rule:

(i) Change the sign of x-coordinate.

(ii) Retain the  y-coordinate.

Therefore, when a point is reflected over the y-axis, the sign of its x - coordinate changes.

Given,

Here we have the graph and in the graph we have the point A as (2,7).

Now, we need to find the new location when the point is reflected across y axis.

Here we know that, the point A is reflected over the y axis.

When we apply the reflection over y axis rule, that is,

( x ,y) →→ ( -x , y)

When we looking at the rule, the sign of the x coordinate is changed.

Thus makes the point that reflected across the y axis as,

=>  point A ( 2, 7) →→ ( -2 , 7)

Therefore,  point A ( 2, 7) has the new location ( -2 , 3) after reflection.

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The probability of getting heads at least twice is 0.5

Since we are given two-sided coin, where the probability of getting heads is equal to the probability of getting tails.NO of outcomes in this case is 2,The probability of getting a head = 1/2, similarly probability of getting a  tail is =1/2 .So when a coin is flipped three times, the sample space for the event will be (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT),  H stands for head and T stands for tails, here for tossing the coin the number of outcomes is 8  .So the probability of getting at least two heads is:  4/8= 1/2 =0.5

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Answer:

0-0

Step-by-step explanation:

oof- hard stuff

Given the equation 2(x+4) = 2x+8

For us to determine whether the equation has a solution, we need to solve for the value of x if possible

First, open the parenthesis

2x+8 = 2x+8

collect like terms

2x-2x = 8-8

0x =0

x = 0/0 (indeterminate)

The indeterminate function that we arrives at shows that the equation does not have a solution. You acn see that we do not have any value for x

Answer:

Left box:  1/2n

Right box = 2n - 22

Step-by-step explanation:

Since we want one-half the number and n represents the unknown number, we have 1/2n on the left-hand side of the equation.

Thus, you want to put 1/2n in box on the left.

Twice the number and 22 less than this is given by:  y: 2n - 22 less than this means we subtract.  Thus, we have 2n - 22 as the numerator on the right hand side of the equation.

Thus, you want to put 2n - 22 in the box on the right.

The ship is approximately 248.181 miles away from its destination.

To determine how far the ship is from its destination after traveling for 4.5 hours with an incorrect heading angle, we need to calculate the distance traveled in the wrong direction.

The ship traveled at a constant rate of 10 miles per hour for 4.5 hours, so the distance it traveled is:

Distance = Rate × Time

Distance = 10 miles/hour × 4.5 hours

Distance = 45 miles

Since the ship was heading in the wrong direction, we need to find the component of this distance that is in the opposite direction of the correct heading.

To calculate this, we can use trigonometry. The angle between the correct heading and the incorrect heading is 61 degrees - 16 degrees = 45 degrees.

Using trigonometry, we can find the opposite component of the distance traveled:

Opposite Component = Distance × sin(Angle)

Opposite Component = 45 miles × sin(45 degrees)

Opposite Component ≈ 31.819 miles

Therefore, the ship is approximately 31.819 miles away from its destination in the wrong direction.

To determine the distance from the destination, we subtract this value from the total distance of 280 miles:

Distance from Destination = Total Distance - Opposite Component

Distance from Destination = 280 miles - 31.819 miles

Distance from Destination ≈ 248.181 miles

Hence, the ship is approximately 248.181 miles away from its destination.

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Answer:

your anwser is 1085

Step-by-step explanation:

Answer:

B /second bubble -3 1/3 is 10/3 and 4/9 is a reciprocal 9/4

Answer:

1/663

Step-by-step explanation:

The probability of drawing a 3 as the first card from a 52-card deck is 4/52, since there are four 3s in the deck. After removing the 3, the probability of drawing the Queen of Hearts as the second card from a now 51-card deck is 1/51, as there is only one Queen of Hearts remaining.

To find the probability of both events occurring,  multiply the probabilities: (4/52) x (1/51) = 1/663.

Therefore, the probability of randomly drawing a 3 and then without replacing it, drawing the Queen of Hearts is 1/663.

The estimated probability that all four randomly selected young American men are 68 inches or shorter is approximately 0.004 or 0.4%.

To calculate the probability that all four randomly selected young American men are 68 inches or shorter, we need to consider the probability for each individual man and multiply them together.

Let's assume that the probability of an individual young American man being 68 inches or shorter is p. Since we are selecting four men at random, the probability of each man being 68 inches or shorter is the same, and we can multiply their probabilities together.

The probability of one man being 68 inches or shorter is p. Therefore, the probability of all four men being 68 inches or shorter is p × p × p × p = p^4.

However, we are not given the specific value of p in the problem statement. If we assume that the height of young American men follows a normal distribution, we can look up the corresponding z-score for a height of 68 inches or shorter and use the standard normal distribution to estimate the probability.

For example, if we find that a height of 68 inches corresponds to a z-score of -1.0, we can use a standard normal distribution table or a calculator to determine the probability of a z-score less than or equal to -1.0. Let's say this probability is approximately 0.1587.

Therefore, the estimated probability that all four randomly selected young American men are 68 inches or shorter would be (0.1587)^4 = 0.004.

Thus, the probability is approximately 0.004 or 0.4% rounded to three decimal places.

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Answer: 2.5, 5.3

Step-by-step explanation:

\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)

If Galena had $16 in her bank and $28 in her wallet. after her aunt gave her some more money, she had $60. So, Galena's aunt gave her $16.

To solve the problem, let's break it down step by step using algebra. Let x represent the amount of money Galena's aunt gave her. According to the information given, Galena received $16 and $28 from her parents. We can write this as:

$16 + $28 + x = $60

To find the amount Galena's aunt gave her, we need to isolate the variable x. We can do this by simplifying the equation:

$44 + x = $60

Next, we want to isolate x on one side of the equation. We can do this by subtracting $44 from both sides:

x = $60 - $44

Simplifying further, we have:

x = $16

So, Galena's aunt gave her $16.

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It is reasonable to say that the puppies can predict the winning basketball teams for the NCAA tournament the majority of the time.

Based on the given information, we need to choose the correct null and alternative hypothesis that determines if it is reasonable to say that puppies can predict the winning basketball teams for the NCAA tournament the majority of the time.

Null Hypothesis (H0): It is not reasonable to say that the puppies can predict the winning teams of the NCAA tournament the majority of the time. Alternative Hypothesis (Ha): It is reasonable to say that the puppies can predict the winning teams of the NCAA tournament the majority of the time.

To determine whether it is reasonable to say that puppies can predict a win the majority of the time, we need to perform the hypothesis test using the given data. Here, p = 347/652 = 0.5317 = 53.17%, which is the proportion of correct predictions. The sample size is 652, which is greater than 30, so we can use a normal distribution for the hypothesis test.

Let’s assume a significance level of α = 0.05. Therefore, the critical z-value for a two-tailed test is:

zα/2 = ±1.96.Z = (p - P) / √ (P (1 - P) / n)

Where, p = proportion of correct predictions = 0.5317 (from given data)

P = proportion of correct predictions assumed under null hypothesis = 0.5 (no significant difference)

n = sample size = 652Z = (0.5317 - 0.5) / √ [(0.5 × 0.5) / 652]= 2.23 (approx)

The calculated value of z is 2.23 which is greater than the critical value 1.96 at a 5% level of significance. Thus, we can reject the null hypothesis.

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The Original price of the item  was $400.

Percentage can be defined as a number that denotes hundredth part of any quantity.

For Example , 50%of 30 =\(\frac{50}{100} *30=\frac{1500}{100} =15\).

In the given question

Amount paid by Joyce = $120

Let the original price =x

Percent of original price = 30%

According to the given Question

30% of x =120

\(\frac{30}{100} *x=120\\ \\ x=\frac{120*100}{30}\\ \\ \\ x=400\)

Therefore , the Original price of the item  was $400.

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Answer:

meeeeeee

2+2+ fish

Step-by-step explanation:

Answer:

I LOVE among us. and 2 + 2 = 4

Step-by-step explanation:

Can you pleaseeee give me brainliest?

Answer:

(8,000/10)=800

The Blu-ray movie will cost approximately $36.42 in 5 years with an inflation rate of 12% and continuous compounding.

To calculate the future cost of the Blu-ray movie in 5 years with an inflation rate of 12% and continuous compounding, we can use the formula for continuous compound interest:

A = P * e^(rt)

Where:

A = Future value

P = Present value

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time period in years

In this case, the present value (P) is $19.99, the inflation rate (r) is 12% or 0.12, and the time period (t) is 5 years. Substituting these values into the formula, we get:

A = 19.99 * e^(0.12 * 5)

Calculating the exponent first:

0.12 * 5 = 0.6

Then:

e^0.6 ≈ 1.82212

Finally:

A = 19.99 * 1.82212 ≈ 36.42

Using the formula for continuous compound interest, we calculated that a Blu-ray movie that costs $19.99 today will cost approximately $36.42 in 5 years, assuming an inflation rate of 12% and continuous compounding.

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ASA Criterion means that the triangles are congruent if the corresponding Angle-Side-Angle is also congruent.

From the the Triangle ABC :

corresponds with ASA.

Likewise from the Triangle DEF :

Since the given figure already states that :

and BC = FE

The other item that will complete the ASA will be :

SAS criterion means that the triangle are congruent if the corresponding Side-Angle-Side are also congruent.

The following corresponds with SAS :

From the triangle ABC :

From the triangle DEF

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

9514 1404 393

Answer:

  3

Step-by-step explanation:

The desired equation has 3 unknown coefficients. 3 independent equations are required in order to find those unknown values. The minimum number of data points required is 3.

Answer: 23x3y

step 1 ((2 • (x2)) • (y3)) • 22xy(-2)

step 2 (2x2 • y3) • 22xy(-2)

step 3 3.1 x2 multiplied by x1 = x(2 + 1) = x3

3.2 y3 multiplied by y(-2) = y(3 + (-2)) = y1 = y

Multiplying exponents:

3.3 21 multiplied by 22 = 2(1 + 2) = 23