pls solve it i need help

The correct option  a) 4 ft. , Service Cable that is attached to a building must be sustained at intervals no greater than 4 ft..

Service cables mounted in close proximity to a building must be supported at no more than four-foot intervals.

Thus,  service cable that is attached to a building must be sustained at intervals no greater than 4 ft.

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The horizontal distance between the base of the ladder and the wall is approximately 8.892 feet.

Here, we have,

To find the horizontal distance between the base of the ladder and the wall, we can use trigonometric functions.

In this case, the ladder forms an angle of 69 degrees with the ground. We can label this angle as θ.

We know the length of the ladder is 26 feet. We can label the horizontal distance as x.

Using trigonometric functions, specifically cosine, we have:

cos(θ) = adjacent/hypotenuse

cos(69) = x/26

To find x, we can rearrange the equation:

x = 26 * cos(69)

Using a calculator, we can calculate:

x ≈ 26 * 0.3420

x ≈ 8.892

Therefore, the horizontal distance between the base of the ladder and the wall is approximately 8.892 feet.

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Answer:

168

Step-by-step explanation:

28% = 28/100

28/100 * 600 = 168

The perimeter of the rectangular tennis court is  \(96.7 m\)

How to solve an equation?

An equation shows or conveys a relationship between two or more unknown variables and numbers.

Let x represent the length and y the width. The rectangular tennis court has an area of ​​\(528\) \(m^{2}\), i.e.:

\(Area = length * width\\528 = xy \\ y = 528/x \\\)

When shortening the length by 1 m and increasing the width by \(1\) m, the area of ​​the tennis court increases by \(16 m^{2}\), Therefore:

new area = new length * new width

\(528 + 16 = (x - 1) (y + 1)\\xy + x - y + 1 = 544\\x(528/x) + x - 528/x + 1 = 544\\528 + x - 528/x + 1 = 544\\\)

by multiplying by x:

\(528x + x² - 528 + x = 544x\\x² -15x - 528 = 0\\x = 31.67, so y = 528/31.67 = 16.67\\\)

Circumference =\(2(x + y) = 2(31.67 + 16.67)\)

Circumference = \(96.7m\)

The perimeter is 96.7m

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Cost of skateboard : $60

Cost of each lemonade = $1.50

Total glasses of lemonade to be sold = 60/1.5

= 60/15×10

= 4×10

= 40

Therefore she has to sell 40 glasses of lemonade

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Answer:

(a) 5

Step-by-step explanation:

All negative numbers are less than 0, and 0 is less than 4, so all negative numbers are less than 4.

Answer:

x=2

Step-by-step explanation:

The tax percentage on a marked-down baseball bat is 1.6%.

From the information Illustrated, the baseball bat that Carl wants to buy is markdown $15 from its regular price of $60.

In this case, the new price will be:

= $60 - $15

= $45

Since the tax on a marked-down baseball is $0.72, the percentage of the tax will be:

= 0.72 / 45 × 100.

= 1.6%

The tax percentage is 1.6%.

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Answer:

D

Step-by-step explanation:

Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

The amount will be equal to $1348.07. The correct option is A.

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

\(\rm A = P(1+\dfrac{r}{n})^{nt}\)

Compound Interest Formula:

A = Account Balance

P = Principle/Initial Amount

r = Rate of Interest (decimal)

n = Number of times compounded (per year)

t = Number of Years

Given Information

Account Balance = ?

It is given that the balance after 15 years in a savings account earns 2% interest compounded bi-monthly when the initial deposit is 1000.

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

Number of years = 15

Solve by plugging the given values into the formula.

\(\rm A = P(1+\dfrac{r}{n})^{nt}\)

\(\rm A = 1000(1+\dfrac{0.02}{6})^{6 \times 15}\)

A = 1000 x (1.14)

A = $1348.07.

Therefore, the amount will be equal to $1348.07. The correct option is A.

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Answer:

1 1/2

Step-by-step explanation:

2 2/3 - 1 1/6 = ?

The LCD here is 6.  Convert 2 2/3 so that the denominator is 6:

2 2/3 = 2 4/6

Then subtract 1 1/6 from 2 4/6:  We get 1 3/6, or 1 1/2

Answer:

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form

Either one works unless the question specifies the form of the equation

Step-by-step explanation:

Point slope form: (y - y1) = m(x - x1)

Given: (-6,1) ; m = 1/6

(y - 1) = 1/6(x - (-6))

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form: y = mx + b

The probability that the sample mean is between 7.8 and 8.2 is 0.3830

The time spent using email is normally distributed with µ = 8 min, σ = 2 min, and n = 25,

we have to find the probability that the sample mean is between 7.8 and 8.2.

Here, Mean (µ) = 8 min  

Standard deviation (σ) = 2 min

Sample size (n) = 25

We know that the distribution of the sample mean is also a normal distribution. The mean of the sample mean distribution is µ and the standard deviation of the sample mean distribution is

σ/√n = 2/√25

        = 2/5

        = 0.4.

The z-score is given by

z = (x - µ) / (σ/√n)

For the lower limit, the z-score is   z₁ = (7.8 - 8) / (0.4)

                                                              = -0.5

For the upper limit, the z-score is   z₂ = (8.2 - 8) / (0.4)

                                                               = 0.5

We have to find the probability that the sample mean is between 7.8 and 8.2. It can be represented as

P(7.8 < x < 8.2)

P(z₁ < z < z₂)

Substituting the values,

we get

P(-0.5 < z < 0.5)

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Answer:

The third option is correct.

The domain of the function is given by

\(Domain = 0 \leq t \leq 40\)

The range of the function is given by

\(Range = 0 \leq V(t) \leq 200\)

Step-by-step explanation:

Sara bought a cell phone for $200 and its value has decreased at rate of $5 per month.

V(t) is the value of the phone and t is the number of months.

The domain of the function is the possible values of the number of months t.

The domain of the function is given by

\(Domain = 0 \leq t \leq 40\)

The range of the function is the values of V(t) that we get after substituting the possible values of the number of months t.

The range of the function is given by

\(Range = 0 \leq V(t) \leq 200\)

When the number of months is t = 0 then the value of the function is maximum V(t) = 200

When the number of months is t = 40 then the value of the function is minimum V(t) = 0

Therefore, the third option is correct.

The problem can be formed as, Joy has (2/7) ounces of honey and he divides this honey among four of his guests, How many ounces of honey will each of his friends get?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Suppose, Joy has (2/7) ounces of honey and he divides this honey among four of his guests, How many ounces of honey will each of his friends get?

The amount of ounces of honey each of his friends gets is,

= (2/7)/4 ounces.

= (2/7)×(1/4) ounces.

= 2/28 ounces.

= 1/14 ounces.

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Answer:

\(23\)

Step-by-step explanation:

\(g+\frac{h}{7}\)

First, divide 36 by 7:

Add 14 and 9:

________________________

Answer:

\(y=x^2-20x+95\)

Step-by-step explanation:

Write the equation in vertex form and evaluate

\(y=(x-h)^2+k\\\\y=(x-10)^2-5\\\\y=x^2-20x+100-5\\\\y=x^2-20x+95\)

This is because the minimum (or maximum) of a quadratic curve is its vertex and \((h,k)\) is the vertex in the formula I used

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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By using unitary method, we found that the cost of 5m cloth is Rs. 1050.

According to the unitary method, the cost of 1 meter of cloth is equal to the total cost of 7 meters of cloth divided by 7. That is,

Cost of 1m cloth = Total cost of 7m cloth/7

We know that the total cost of 7m cloth is Rs. 1470. Therefore,

Cost of 1m cloth = 1470/7

Cost of 1m cloth = Rs. 210

This means that the cost of 1 meter of cloth is Rs. 210. Now, we need to find the cost of 5m cloth. To do that, we can use the unitary method again.

Cost of 5m cloth = Cost of 1m cloth x 5

Cost of 5m cloth = Rs. 210 x 5

Cost of 5m cloth = Rs. 1050

Therefore, the cost of 5m cloth is Rs. 1050.

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Answer:

9a+5

Step-by-step explanation:

3a+5 and 2a2+4a-2= 6a+3a+5 =9a+5

the area of the circle is 460 cm²

circumference of a circle = 2πr

r = radius

let π = 3.14

circumference of the circle = 76cm

76 = 2 × 3.14 × r

76 = 6.28× r

76 = 6.28r

76/6.28 = 6.28r/6.28

r = radius = 12.1cm

Diameter = 2 × 12.1cm = 24.2cm

Area of a circle = πr²

Area = 3.14 × (12.1)²

Area = 459.7 cm²

Approximately to the nearest whole number, the area of the circle is 460 cm²

The total cost of the skateboard after being discounted by 12% and then sales tax of 6.75% is$74.22.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

As per the given,

Usually, the price of the skateboard = $79.01

The 12% of 79.01 ⇒ (12/100)79.01 = $9.4812

The price after a 12% discount

79.01 - 9.4812 = $69.5288

The 6.75% of 69.5288 ⇒(6.75/100)69.5288 = $4.693194

The total price after applying the 6.75% tax,

$69.5288 + $4.693194 = $74.22

Hence "The total cost of the skateboard after being discounted by 12% and then sales tax of 6.75% is$74.22".

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Answer:

1: below its initial height.

2: if Jimmy has 20 balls and Chris take 15,how many balls does Jimmy have?

3: I would want Mrbeast to be the President because he would help everyone.

The statements are true because each ball has an equal chance of being drawn on each draw, and the number of each color of ball is equal, so the probability of drawing any particular color is the same as the probability of drawing any other color.

The following statements are true:

1. The probability of drawing a red ball on the first draw is 6/18 or 1/3.
2. The probability of drawing a yellow ball on the first draw is 6/18 or 1/3.
3. The probability of drawing a green ball on the first draw is 6/18 or 1/3.
4. The probability of drawing a red ball on the second draw is 6/18 or 1/3, regardless of what was drawn on the first draw.
5. The probability of drawing a yellow ball on the second draw is 6/18 or 1/3, regardless of what was drawn on the first draw.
6. The probability of drawing a green ball on the second draw is 6/18 or 1/3, regardless of what was drawn on the first draw.

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This is because the value 3 is not even, so it's impossible to roll 3 and an even number at the same time on the same die.

Answer:

\(-16\)

Step-by-step explanation:

\(f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16\)

Answer:

6 miles

Step-by-step explanation:

To find the miles in an hour, we must found the unit rate. A fraction is a division problem, so we would set this up as a fraction. The numerator is the distance, and the denominator is the time it takes to travel the distance.

10.5/1.75=6

7.5/1.25=

4.5/0.75=

Answer:  6 miles

Step-by-step explanation:

Christy went jogging and covered 4.5 miles in 0.75 hr
and in 1.75 hr she covered 10.5
To find distance she covered in 1 hour = 10.5 - 4.5 (because 1.75 hr - 0.75 hr)

:)

So the probability that the coin landed on heads given a red card is 4/17.

To find the probability that the coin landed on heads given that a red card is selected, we can use Bayes' theorem.

Let H be the event that the coin landed on heads, and R be the event that a red card is selected. We want to find P(H|R), the probability of heads given a red card.

According to Bayes' theorem:

P(H|R) = (P(R|H) * P(H)) / P(R)

We know that P(R|H) is the probability of selecting a red card given that the coin landed on heads. In this case, P(R|H) = 8/12 = 2/3, as hat A has 8 red cards out of a total of 12 cards.

P(H) is the probability of the coin landing on heads, which is 1/2 since the coin is fair.

P(R) is the probability of selecting a red card, which can be calculated using the law of total probability:

P(R) = P(R|H) * P(H) + P(R|T) * P(T)

P(R|T) is the probability of selecting a red card given that the coin landed on tails. In this case, P(R|T) = 3/10, as hat B has 3 red cards out of a total of 10 cards.

P(T) is the probability of the coin landing on tails, which is also 1/2.

Therefore, we can calculate P(R) as:

P(R) = (2/3) * (1/2) + (3/10) * (1/2) = 17/30

Finally, we can calculate P(H|R) using Bayes' theorem:

P(H|R) = (2/3) * (1/2) / (17/30) = 4/17

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