Help me out with this question (geometry)

A possible solution for the equation is -5 ± √17/2.

The term quadratic equation is a term that cold be used to be able to describe a polynomial of degree 2. A polynomial of degree 2 is one in which the highest power of the algebraic terms present in the equation is 2.

We can rewrite the equation as;

x^2 + 5x + 2 = 0

Now what we need to do is to solve the quadratic equation and obtain its value.

By solving the quadratic equation as it have been shown in the question above, e can see that one of the solutions of the equation is; negative 5 plus or minus the square root of 17 divided by two.

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Find copies per minute:

80 / 2.5 = 32 copies per minute.

Multiply copies per minute by total minutes:

32 x 0.25 = 8 copies

In statistics, the estimation of a population parameter based on the statistics of a sample is known as a point estimate.

A point estimate is an estimation of a population parameter based on a single statistic obtained from a sample. The formula for a point estimate is given as:Point estimate = Sample statisticIn the given question, the department store manager wants to estimate the mean amount spent by all customers at this store at a 97% confidence level, and the manager knows that the standard deviation  of amounts spent by all customers at this store is $59. The minimum sample size should be chosen so that the estimate is within $5 of the population mean.

The formula for calculating the minimum sample size required to estimate the population mean with a certain level of confidence is given as: n = (z^2 * σ^2) / E^2Where,n = the minimum sample size required to estimate the population meanz = the z-value for the desired level of confidenceσ = the population standard deviationE = the maximum allowable errorSo, the first step is to find the value of z at the 97% confidence level using the z-table.The z-value for the 97% confidence level is 1.8808 approximately.

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Answer:

600 to 700 words, i believe that's the answer...

Step-by-step explanation:

i really hope this helps :)

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

y = 5x - 40

Step-by-step explanation:

The function rule can be written in slope-intercept form, y = mx + b.

Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.

✔️Slope (m) = change in y / change in x

Using two pair of values from the table, (10, 10) and (12, 20),

Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5

Slope (m) = 5

✔️ y-intercept (b):

Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.

Thus:

10 = 5(10) + b

10 = 50 + b

10 - 50 = b

b = -40

✔️Write the function by substituting m = 5 and b = -40 into y = mx + b

Thus:

y = 5x + (-40)

y = 5x - 40

Answer:

Assuming that the garden is rectangular in shape, the area of a rectangle is given by length x width.

11 is prime with factors 1 and 11.

Therefore, if the area of a (rectangular) garden is 11 square feet, then the possible dimension of the garden is 1 foot by 11 feet.

Step-by-step explanation:

Please give the brainliest, really appreciated.

The projected percentage for 2060 is nearly double from 52 million in 2018 to 95 million by 2060.

Given in 1970, about 10 percent of the u.s. population was age 65 and older.

Demographic Shifts

The number of Americans ages 65 and older is projected to nearly double from 52 million in 2018 to 95 million by 2060, and the 65-and-older age group's share of the total population will rise from 16 percent to 23 percent. The older population is becoming more racially and ethnically diverse.

Hence the answer is the projected percentage for 2060 is nearly double from 52 million in 2018 to 95 million by 2060.

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Alexey is baking two batches of cookies. The probability of the first batch being tasty is 50%, while the probability of the second batch being tasty is 70%. Whether he burns the cookies or not is not explicitly stated.

Alexey's baking of the two batches of cookies is treated as independent events, meaning the outcome of one batch does not affect the other. The probability of the first batch being tasty is given as 50%, indicating that there is an equal chance of it turning out well or not. Similarly, the probability of the second batch being tasty is stated as 70%, indicating a higher likelihood of it being delicious.

The question does not provide information about the probability of burning the cookies. However, if Alexey's forgetfulness and the possibility of burning the cookies are taken into consideration, it is important to note that burning the cookies could potentially affect their taste and make them less enjoyable. In that case, the probabilities mentioned earlier could be adjusted based on the likelihood of burning. Without further information on the probability of burning, it is not possible to calculate the overall probability of both batches being tasty or the impact of burning on the tastiness of the cookies.

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The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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There are 45 games played in a season of the youth soccer league with 10 teams.

In a youth soccer league with 10 teams, each team will play against every other team exactly once.

To determine the number of games played in a season, we can use the combination formula, which calculates the number of ways to choose 2 teams from a set of 10 teams. Each combination represents a unique game.

The formula for combinations, also known as the binomial coefficient, is:

C(n, r) = n! / (r! * (n - r)!)

where n is the total number of items and r is the number of items to be chosen.

In this case, we have 10 teams, and we need to choose 2 teams for each game.

Using the combination formula, we can calculate the number of games played as:

C(10, 2) = 10! / (2! * (10 - 2)!)

= 10! / (2! * 8!)

= (10 * 9) / (2 * 1)

= 45

Therefore, 45 games are played in a season.

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Answer:

(V - u) / a = t

Step-by-step explanation:

Here's the formula solved for t

V = u + at

V - u = at

(V - u) / a = t

So this is solved

Answer:

Father=41

Son=19

Step-by-step explanation:

Father=f

Son=s

f+s=60

Eight years ago would mean that 16 is subtracted from 60 since there is both of them

3s+s=4s

4s=44

s=11

11+8=19

33+8=41

Answer:

9

Step-by-step explanation:

It is a right angle triangle. Hypotenuse is 10, because it was 15 ft tall. 10 squared is 100. 5 squared is 25. 100 - 25 = 75. Sqrt 75 = 9

3/4 a number b divided by 5 is 15b/4

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction).

3/4 a number b:

=3b/4

Divided by 5:

=3b/4/5

We have to multiply numerator with the dominator by 5 to remove the double fraction:

=3b*5/4

=15b/4

3/4 a number b divided by 5 is 15b/4

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By the compare to y =mx + b, the value of slope (m) is 1/10 and value of y - intercept is 0.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The expression is,

⇒ v = 1/10u

Now, We can write as;

⇒ v = 1/10u

⇒ v = 1/10u + 0

By compare with y = mx + b, we get;

⇒ slope (m) = 1/10

⇒ y - intercept (b) = 0

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Answer:

AE - 3, EB - 2, EC - 5

Step-by-step explanation:

Use the Pythagorean theorem and you'll find that these are the answers.

I'll answer problem 19

=======================================================

Part (a)

The tickmarks on segments DE and DC indicate they are the same length. We're also told that |DC| = |DE| = 5.

So DE is also 5 cm long. Triangle DAE is a right triangle with the 90 degree angle at angle A. Let x be the length of segment AE.

We'll use the pythagorean theorem to find x

a^2 + b^2 = c^2

(AE)^2 + (AD)^2 = (DE)^2

x^2 + 4^2 = 5^2

x^2 + 16 = 25

x^2 = 25-16

x^2 = 9

x = sqrt(9)

x = 3

Segment AE is 3 cm long

=======================================================

Part (b)

For any rectangle, the opposite sides are parallel and the same length. This means AB = DC = 5 cm.

We found earlier that AE = 3 cm, so,

AE+EB = AB

3+EB = 5

EB = 5-3

EB = 2

Segment EB is 2 cm long

=======================================================

Part (c)

We know that AD = BC = 4 cm, because the opposite sides are the same length.

Earlier in part (b), we found that segment EB was 2 cm long.

Triangle EBC is a right triangle with legs EB = 2 and BC = 4. Let's apply the pythagorean theorem to find EC. Let y = EC.

a^2 + b^2 = c^2

(EB)^2 + (BC)^2 = (EC)^2

2^2 + 4^2 = y^2

4 + 16 = y^2

20 = y^2

y^2 = 20

y = sqrt(20)

y = sqrt(4*5)

y = sqrt(4)*sqrt(5)

y = 2*sqrt(5)

y = 4.4721359

As an exact value, EC is sqrt(20) or 2*sqrt(5) cm long.

As an approximate value, EC is roughly 4.4721359 cm long.

I would ask your teacher if you should use the exact or approximate value.

Answer:

Step-by-step explanation:

From a hot-air balloon, Violet measures a 24

∘

∘

 angle of depression to a landmark that’s 806 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.

Answer:

Area = 200ft²

Step-by-step explanation:

Perimeter of a rectangle = 2(length+width)

Area of a rectangle = length * width

Then:

g = 2w           Eq. 1

60 = 2(g+w)   Eq. 2

g = length

w = width

From Eq. 2

60 = 2g + 2w

60 - 2g = 2w      Eq. 3

matching Eq. 1 and Eq. 3

g = 60 - 2g

g + 2g = 60

3g = 60

g = 60/3

g = 20 ft

From Eq. 1

g = 2w

20 = 2w

20/2 = w

w = 10 ft

Area

area = length * width

area = 20ft * 10 ft

area = 200ft²

when possible, the best way to establish that an observed association is the result of a cause and effect relation is by means of well designed experiment.

In an experiment, a researcher manipulates one or more variables, while holding all other variables constant. By noting how the manipulated variables affect a response variable, the researcher can test whether a causal relationship exists between the manipulated variables and the response variable. Characteristics of a Good Experimental Design:

Provides unbiased estimates of the factor effects and associated uncertainties Enables the experimenter to detect important differences Includes the plan for analysis and reporting of the results Gives results that are easy to interpret Permits conclusions that have wide validity Shows the direction of better results Is as simple as possible Basic Principles of  experimental design:

The basic principles of experimental design are

(i) Randomization

(ii) Replication

(iii) Local Control

Randomization:

Randomization is the cornerstone underlying the use of statistical methods in experimental designs.  Randomization is the random process of assigning treatments to the experimental units. The random process implies that every possible allotment of treatments has the same probability.

Replication:

By replication, we mean that repetition of the basic experiments. For example, If we need to compare the grain yield of two varieties of wheat then each variety is applied to more than one experimental units.

Local Control

it has been observed that all extraneous source of variation is not removed by randomization and replication, i.e. unable to control the extraneous source of variation. Thus we need to a refinement in the experimental technique.

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Answer:

$7.5

Step-by-step explanation:

1 quart = 4 cups

So:

12 cups = 12/4 = 3 quarts

Each quart is 2.5 dollars

3 * 2.5 = $7.5

The correct answer is B) Her sample is 38, 68, 35, 02, 22. This is because the scientist is selecting a random sample of 5 forest sites from a population of 45 without replacement. She is using consecutive pairs of digits from the table of random digits to select her sample.

Starting at the beginning of the line of random digits, the first pair is 38, which corresponds to forest site 38. The second pair is 68, which corresponds to forest site 68. The third pair is 35, which corresponds to forest site 35. The fourth pair is 02, which corresponds to forest site 02. And the fifth pair is 22, which corresponds to forest site 22.
Now, let's select a random sample of 5 forest sites without replacement:
1) 38
2) 35
3) 02
4) 22
5) 24
Thus, the correct answer is not listed in the given options. However, based on the consecutive pairs of digits and following the process mentioned, the sample should be 38, 35, 02, 22, and 24.

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Answer:

4

Step-by-step explanation:

Mark me brainleist please!

Answer:

the second one

Step-by-step explanation:

The age of Layla who youngest of four siblings is 18 years old

The age of 4 sibling are in consecutive even integers

Age of 1st sibling = x

Age of 2nd sibling = x + 2

Age of 3rd sibling = x + 4

Age of 4th sibling = x + 6

Sum of the sibling age = 84

x + x + 2 + x + 4 + x + 6 =84

4x + 12 = 84

4x = 84 -12

4x = 72

x = 18

Layla is youngest  sibling hence her age will be 18 years

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The question is incorrect the correct question is :

Layla is the youngest of four siblings whose ages are consecutive even integers. If the sum of their ages is 84, find Layla's age

The given statements represent the transitive property of equality.

The order of the letters in the options is a bit confusing, but assuming that each letter represents a point in a triangle, the correct answer would be:

A. LK, JL, KJ

This is because the order of the letters represents the order of the vertices in a triangle. In triangle LKJ, the vertices should be listed in the order LK, KJ, JL. This matches option A.

The given statement is a list of four sets of points: A, B, C, and D. Each set contains three points labeled with letters. The points within each set are collinear, meaning they lie on the same straight line. Based on this information, we can conclude that each set represents a line segment.

Therefore, we can rewrite the statement as AB, BC, CD, and DA are line segments. Additionally, we can determine that the order of the points matters, as reversing the order would result in a different line segment.

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According the question given you jogged around the distance of 26\(\frac{2}{3}\) miles.

What is an improper fraction?

When the numerator value exceeds the denominator value, the fraction is incorrect. Incorrect fractions can also be expressed in the form of a whole number and a proper number, where the numerator is the remainder and the denominator is left unchanged.

Here, we have

Given: You jog 6 2/3 miles around a track each day. If you jogged that distance 4 times last week.

We have to find out how many miles did you jog.

The total jogging distance will be

= 4(6 2/3) miles

= 4 × 20/3 miles

= 80/3 miles

= 26\(\frac{2}{3}\) miles.

Hence, you jog 26\(\frac{2}{3}\) miles.

Question: You jog 6 2/3 miles around a track each day. If you jogged that distance 4 times last week, how many miles did you jog?

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Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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Answer:

6x+16

Step-by-step explanation:

x+20+5x-4

Gather the like terms: (x+5x)+(20-4)

= 6x+16

Answer:

The value of the line is 5.83.

Hope it helps!

Answer:

d = √34 or 5.83

Step-by-step explanation:

Distance formula: \(d = \sqrt{(x2-x1)^2+(y2-y1)^2}\)

Point R (-3, 1)

Point S (2, 4)

d = √(2+3)²+(4-1)²

d = √(5²+3²)

d = √(25 + 9)

d = √34 or 5.83095

We have to change the oz to lb. So we get that

so the problem goes as

and that is