Help me with this one pls

4x + 7g - 2g - 8x

Answer:

Step-by-step explanation:

Question says that it uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides. Putting this into equation, we have something like this.

120 = L + 2W

Where

LW = area.

Again, in order to maximize the area with the given fencing, from the equation written above, then Width, w must be = 30 feet and length, l must be = 60

On substituting, we have

A = LW = (120 - 2W) W

From the first equation, making L the subject of the formula, we have this

L = 120 - 2W, which then we substituted above.

On simplification, we have

L = 120W -2W²

Differentiating, we have

A' = 120 - 4W = 0

Remember that W = 30

So therefore, L = 120 - 2(30) = 60 feet

The required length of the rectangular garden is 60 feet

According to the question, the school uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides.

Substitute into the perimeter of the rectangle will give:

120 = L + 2W

Area = LW

In order to maximize the area with the given fencing, from the equation written above, then w = 30 feet and l = 60

On substituting, we have;

A = LW = (120 - 2W) W

L = 120 - 2W,

On simplification, we have

L = 120W -2W²

Differentiating, we have

A' = 120 - 4W = 0

Remember that W = 30

So therefore, L = 120 - 2(30) = 60 feet

Hence the required length of the rectangular garden is 60 feet

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Answer:

A. 85%

   135%

B.15%

C.24 gallons

Step-by-step explanation:

A.

B.80-12=68.00    80X15%=12.00

C.6x4=24

Total number of multiple-choice questions that Desiree has to answer in Aptitude test = 50

Points given for every correct Answer = +3

Points deducted for every Incorrect Answer = -1

For every question unanswered ,

points Deducted = -0.5

Total Points Obtained by Desiree after Answering all the questions = 110

Number of Answers that Desiree answered correctly = x questions

Number of Incorrect Answers = (50 - x) questions

Then,the Equation representing above situation

→ 3 × x + ( -1 ) × ( 50 - x ) = 110

⇒3x - 50 + x = 110 ----------- equation that represents the given situation

⇒ 4x - 50 = 110

Adding 50, on both sides

→ 4x - 50 + 50 = 110 + 50

⇒ 4x = 160

Dividing both sides by, 4 we get

x = 40

Number of correct answers given by Desiree= 40 questions

Number of Incorrect Answers = 50 - 40

= 10 Questions .

Answer:

Desiree is given an aptitude test with 50 multiple-choice questions. For every correct answer, Desiree will get 3 points. For every wrong answer, 1 point will be deducted. For every question unanswered, 0.5 points is deducted. Desiree did not leave any questions unanswered and gets 110 points on the test.

If x is the number of questions Desiree answered correctly, then the equation that represents the given situation is

3(50 - x) + x = 110

and the equation will have

no solution

.

Step-by-step explanation:

Answer:

Step-by-step explanation: Here's your answer 50√3 m.

The probability that John's store will blow up is 1 or 100%.

To calculate the probability of John's store blowing up, we need to consider the probability of drawing three matching balls from the urn filled with 100 numbered ping-pong balls, with replacement.

The probability of drawing a matching ball on the first draw is 1 since there are no restrictions. The second and third draws also need to match the first ball to satisfy the condition. Since we are drawing with replacement, each draw is independent, and the probability of drawing a matching ball on each subsequent draw is also 1.

Therefore, the probability of drawing three matching balls, and thus the store blowing up, is the product of the individual probabilities:

Probability = 1 * 1 * 1 = 1

Hence, this means that no matter which balls John draws, he is guaranteed to draw three matching balls due to the infinite supply of numbered ping-pong balls with replacement. Consequently, the store will always blow up according to the given scenario.

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a. The length of each diagonal should be approximately 26 feet.
b. The angle the diagonal makes with the longer side of the deck is approximately 23°.
c. The angle the diagonal makes with the shorter side of the deck is approximately 67°.

a. To find the length of each diagonal in a rectangular deck, we can use the Pythagorean theorem: a² + b² = c², where 'a' and 'b' are the sides of the rectangle and 'c' is the diagonal. In this case, a = 10' and b = 24'. So:

10² + 24² = c²
100 + 576 = c²
676 = c²
c = √676
c ≈ 26'

So, each diagonal should be approximately 26 feet long.

b. To find the angle between the diagonal and the longer side (24'), we can use the arctangent function (opposite side/adjacent side):

tan θ = 10/24
θ = arctan(10/24)
θ ≈ 22.6°

Rounded to the nearest degree, the angle between the diagonal and the longer side is approximately 23°.

c. To find the angle between the diagonal and the shorter side (10'), we can use the arctangent function again:

tan θ = 24/10
θ = arctan(24/10)
θ ≈ 67.4°

Rounded to the nearest degree, the angle between the diagonal and the shorter side is approximately 67°.

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Answer:

\( \frac{46}{23} \)

Step-by-step explanation:

\( \frac{2 + 4(7 + {2}^{2} )}{4 \times 2 + 5 \times 3} \)

\( \frac{2 + 4(7 + 4)}{4 \times 2 + 5 \times 3} = \frac{2 + 4(7 + 4)}{8 + 5 \times 3} \)

\( \frac{2 + 4(7 + 4)}{8 + 15} = \frac{2 + 4 \times 11}{8 + 15} \)

\( \frac{2 + 4 \times 11}{23} = \frac{2 + 44}{23} \)

\( = \frac{46}{23} \)

Answer:

2+4(7+2)^2/4×2+5×3= 46/23

Answer:

306mm²

Step-by-step explanation:

the height h = 86/2 -34 = 43-34=9mm

the area = 34×9= 306mm²

Answer: (I am assuming this is 2D?)

Two bases together: 34 * 2

68

Two lengths together is p - two bases:

18

Individual length:

9

Area is base times length

9 * 34

306mm

This question is incomplete

Complete Question

A baker uses 5.5 Ibs of flour daily

The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?

Answer:

51.3 loaves of bread

Step-by-step explanation:

Converting 5.5 Ibs to oz (ounces)

1 Ibs =>12 oz

5.5 Ibs => x

Cross Multiply

12 × 5.5 => 88 oz

1 loaf of bread =>12 oz

Hence, in 1 day

12 oz =>1 loaf of bread

88 oz => x

x =>88 oz/ 12 oz

x => 7.3333333333 loaves of bread

Hence, he can make 7.3333333333 loaves of bread in 1 day

Hence, in 7 days

1 day => 7.3333333333 loaves

7 days => x

x => 7 × 7.3333333333 loaves

x => 51.333333333 loaves of bread

Approximately => 51.3 loaves of bread

The actual selling price of the cosmetic item that she sells is Rs 6215.

The actual selling price with a discount percentage and percentage of VAT  is as follows:

Selling price S.P = Marked Price ± Discount (+ ve if above or - ve if below)

Discount = Discount% of the marked price

VAT = VAT% of S.P

Actual selling price = S.P + VAT

The given marked price is Rs 4400.

Discount% = 25% and VAT% = 13%

Finding Discount:

Discount = 25% of the marked price = 25% of Rs 4,400

               = (25 × 4400)/100

               = 1100

Finding Selling price S.P:

S.P = Marked price + Discount(since it is above)

     = 4400 + 1100

     = 5500

Finding VAT:

VAT = VAT% of S.P

       = 13% of 5500

       = 715

Finding actual selling price:

Actual selling price = S.P + VAT

⇒ 5500 + 715 = 6215

∴ Mrs. Lama sells the cosmetic item at a selling price of Rs 6215.

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The value of x, which represents the cost of each carton of ink is $63.

Let's break down the given information:

The subscription fee for the printer ink service is $230.

The company paid a total of $1364, which includes the subscription fee.

The company purchased 18 cartons of ink.

To find the value of x, we need to determine the cost of the ink cartridges alone, excluding the subscription fee. We can subtract the subscription fee from the total payment to get the cost of the ink:

Total payment - Subscription fee = Cost of ink cartridges

$1364 - $230 = $1134

Now, we divide the cost of the ink cartridges by the number of cartridges to find the cost per cartridge:

Cost of ink cartridges / Number of cartridges = Cost per cartridge

$1134 / 18 = $63

Therefore, the value of x, which represents the cost of each carton of ink, is $63.

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Step 1

Let the energy drink be x

Step 2

1/4 of the energy drink left = (1/4)x = original amount

Step 3

1/4 of 1/4x = 1/4 x 1/4x = (1/16)x = amount drank

Step 4

Find much of the energy drink you have left

Fraction of energy drink left = Original amount - amount drank

Fraction of energy drink left = (1/4)x - (1/16)x = (3/16)x

Hence you will have 3/16 of the energy drink left

We expect approximately 6 individuals to be smokers based on a prevalence rate of 60.0%. The probability of seeing nine or more individuals smoking in the sample is approximately 0.279 or 27.9%.

To determine the expected number of individuals who are smokers in a simple random sample of size n = 10, we can use the binomial probability distribution. The prevalence of smoking is known to be 60.0%, which means the probability of an individual being a smoker is p = 0.60.

The expected number of smokers (μ) can be calculated using the formula:

μ = n * p

Substituting the given values, we have:

μ = 10 * 0.60 = 6

Therefore, we expect to find approximately 6 individuals who are smokers in the sample.

To find the probability of seeing nine or more individuals smoking in a sample of size n = 10, we need to calculate the cumulative probability of seeing nine or more successes (smokers) in the binomial distribution.

P(X ≥ 9) = P(X = 9) + P(X = 10)

Using the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where C(n, k) represents the number of combinations of choosing k successes out of n trials.

Substituting the values, we have:

P(X = 9) = C(10, 9) * (0.60)^9 * (1 - 0.60)^(10 - 9)

P(X = 10) = C(10, 10) * (0.60)^10 * (1 - 0.60)^(10 - 10)

Calculating these probabilities, we find:

P(X = 9) ≈ 0.219

P(X = 10) ≈ 0.060

Therefore,

P(X ≥ 9) ≈ 0.219 + 0.060 ≈ 0.279

The probability of seeing nine or more individuals smoking in a simple random sample of size n = 10 is approximately 0.279, or 27.9%.

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Answer: -39.5

Step-by-step explanation:

To make this easier, you want to convert the fraction to a decimal. 1/2 is a half so its 0.5. If you don't know what 1/5 to a decimal is then you make the denominator to 100. To do this you do 100/2 to calculate what to multiply 2 by which is 50. You then do 1x50 and 2x50. This will be 50/100. Divide 50 by 100 which is 0.5.

In this question the fraction is a negative so the decimal will be -0.5.

-0.5-40+1

-0.5-40=-40.5

-40.5+1=-39.5

-39.5 answer

Answer:

1/4

Step-by-step explanation:

divide numerator and denominator by 3

In this particular data set, 10 is the only value that occurs more than once, so it is the only mode

The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.

Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.

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This question requires a long answer to fully explain the possible options for Spencer's retirement account. Based on the information provided, it is clear that Spencer's employer sponsors his benefit package and his contributions are taken out of his check before payroll taxes are calculated. This indicates that his retirement account is either a traditional IRA, traditional 401k, Roth IRA, or Roth 401k.

A traditional IRA or 401k is funded with pre-tax dollars, meaning the contributions are deducted from the employee's taxable income, reducing the amount of income subject to taxes. The earnings on the account are also tax-deferred, meaning taxes are not paid until the funds are withdrawn during retirement.

A Roth IRA or 401k, on the other hand, is funded with after-tax dollars, meaning the contributions are made with money that has already been taxed. However, the earnings on the account are tax-exempt, meaning they are not subject to taxes when the funds are withdrawn during retirement.

Based on the information provided, it is most likely that Spencer's retirement account is a traditional 401k, as this type of account is commonly offered by employers and allows for pre-tax contributions. However, it is important to note that without further information about Spencer's specific retirement account, it is impossible to know for certain which type of account he has.

Spencer's retirement account is a traditional 401(k). This is because his contributions are made before payroll taxes are calculated, which indicates that the contributions are tax-deferred. Additionally, his employer sponsors the benefit package, which aligns with a 401(k) rather than an IRA.

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To prove that if a is an integer and d is an integer greater than 1, then the quotient and remainder obtained when a is divided by d are [a/d] and a − d[a/d], respectively, we need to use the Division Algorithm.

The Division Algorithm states that for any two integers a and d with d>0, there exist unique integers q and r such that a = dq + r, where r is the remainder and 0 ≤ r < d.

Now, let's apply this algorithm to the given problem. We have:

a = dq + r

We want to express q and r in terms of a and d. To do this, we first divide both sides by d, giving:

a/d = q + r/d

Now, we take the floor function of both sides (i.e., the greatest integer less than or equal to a/d), giving:

[a/d] = q

Next, we multiply both sides by d and subtract from a, giving:

a - d[a/d] = a - dq = r

Therefore, the quotient and remainder obtained when a is divided by d are [a/d] and a − d[a/d], respectively. This proves the statement.

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Answer: 2.5, 5.4

Step-by-step explanation:

\(-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t =\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4\)

Answer:

16 cupcakes

Step-by-step explanation:

Amount Alex wants to spend = $25

Cost of each cupcake = $1.50

what is the max number of

cupcakes that Alex can buy without going over his $25 limit?

Let

x = maximum number of cupcakes Alex can buy

Amount Alex wants to spend = Cost of each cupcake * maximum number of cupcakes Alex can buy

25 = 1.50x

x = 25 / 1.50

x = 16.67

The maximum number of cupcakes that Alex can buy without going over his $25 limit is 16 cupcakes as a whole

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

For the f(-2):

\(f(-2)=8(-2)-4\\f(-2)=-16-4\\f(-2)=-20\)

For the f(x+7):

\(f(x+7)=8(x+7)-4\\f(x+7)=8x+56-4\\f(x+7)=8x+52\)

For the f(-x):

\(f(-x)=8(-x)-4\\f(-x)=-8x-4\)

That's all

The function f(x) = 8x - 4, At x = -2 is -20, At x = (x+7) is 8x + 52 and at x = -x is -8x -4.

A function can be though of as an output for given input.

According o the given question we have to evaluate the function                f(x) = 8x - 4 at different values of the independent variable.

For f(-2) we'll replace x with -2 in this function

f(-2) = 8(-2) - 4.

f(-2) = -16 - 4.

f(-2) = - 20.

For f(x+7) we'll replace x with (x+7).

f(x+7) = 8(x+7) - 4.

f(x+7) = 8x + 56 - 4.

f(x+7) = 8x + 52.

For f(-x) we'll replace x with -x in this given equation.

f(-x) = 8(-x) - 4.

f(-x) = -8x - 4.

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There are 13 different colors available for the top stripe, 5 colors available for the middle stripe, and 8 colors available for the bottom stripe. To determine the total number of color possibilities or combinations, we need to multiply the number of options for each stripe.

For the top stripe, Rosie has 13 different colors to choose from. For the middle stripe, she has 5 different colors to choose from. And for the bottom stripe, she has 8 different colors to choose from.

To find the total number of combinations, we multiply the number of options for each stripe together:

13 colors for the top stripe × 5 colors for the middle stripe × 8 colors for the bottom stripe = 520 total color possibilities.

Therefore, Rosie has a total of 520 color possibilities for her flag design.

Rosie has 13 options for the top stripe, 5 options for the middle stripe, and 8 options for the bottom stripe. By multiplying these numbers together, we find that there are 520 total color possibilities for her flag design.

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Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

Answer:

24

Step-by-step explanation:

Answer

24!

Step-by-step explanation:

Person above me is correct :)

Answer: A)  \(x < -4 \ \text{ or } \ x \ge 3\)

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

Explanation:

The left portion of the graph is \(x < -4\) to indicate values smaller than -4. We exclude the endpoint -4 due to the open hole. So we don't have "or equal to" as part of the inequality sign.

In contrast, we do include the endpoint 3 since there's a filled in endpoint here. The right side of the shaded graph shows values that are 3 or larger. So that's why we have \(x \ge 3\) which says "x is greater than or equal to 3".

Put those two pieces together and we end up with \(x < -4 \ \text{ or } \ x \ge 3\)

You must use "or" instead of "and" because they mean different things. Saying \(x < -4 \ \text{ and } \ x \ge 3\) is not correct because there are no numbers that are both less than -4 and greater than or equal to 3 at the same time. Visually there are no numbers that are to the left of -3 and also to the right of 3 at the same time.

Answer: Chris's Gym pays $2.75

Step-by-step explanation:

So i was glancing at this question wondering how I was gonna figure it out then flipped it upside down in my head and figred out what I was missing

So basically we know that Tyrell pays $2.00 for court reservations

Chris on the other hand according to the table pays $52.75 for court reservation in addition to his monthly fee. Now we have to find out how much is just the court fee. So if we look at the next box I realized that a second court recomendation costs $55.5 and I realized that to find the court reservation costs I needed to subtract so 55.5-52.755= 2.75 which means Chis has a monthly costs of 50 and pays $2.75 for a court holding

The characteristics of the normal distribution can be used to determine the likelihood that X equals 19.62 because X is a normally distributed random variable with a mean of 12 and a standard deviation of 3.

We must compute the z-score, which counts the number of standard deviations a given result is from the mean, in order to determine this probability. Calculating the z-score is as follows:

z = (x - μ) / σ

If the supplied value, x, the mean, and the standard deviation are all given.In this instance, x=19.62, =12, and =3 respectively. By replacing these values, we obtain:

z = (19.62 - 12) / 3 ≈ 2.54

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Answer:

2

-4

0

Step-by-step explanation:

i just did it on edge

The value of inverse functions  \(f^{-1}(4), f^{-1}(-5)\), \(f^{-1}(0)\) is 2, -4 and 0.

From the given graph, we need to determine the \(f^{-1}(4), f^{-1}(-5)\), \(f^{-1}(0)\) values.

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input \(x\). Mapping or transformation is used to denote a function in math.

From the graph the values of the given inverse function are as follows:

Now, \(f^{-1}(4)=2\)

\(f^{-1}(-5)=-4\)

\(f^{-1}(0)=0\)

Therefore, the value of inverse functions  \(f^{-1}(4), f^{-1}(-5)\) \(f^{-1}(0)\) is 2, -4 and 0.

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Answer:

30

Step-by-step explanation:

2 multiplied by 24 = 48

48 - 18 = 30