if ribbon candy costs 2.50 per foot. How many feet can you buy if u have 11.25

Answer:

To prove that 16^5+16^4 is divisible by 17 using factoring, first rewrite the expression 16^5+16^4 using the distributive law as 16^4*(16+1). Then, note that 16+1 is divisible by 17. Since 16^4 is also divisible by 17, the expression 16^4*(16+1) is also divisible by 17. Therefore, 16^5+16^4 is divisible by 17.

Answer:

If and only if a triangle is a right triangle, then it contains a right angle.

Step-by-step explanation:

For a statement that says "if p then q," it's converse is "if q then p."

Answer:

The minimum monthly income required by the lender is $5214.30

Step-by-step explanation:

Here, we want to calculate the minimum monthly income required by the lender

From the question, we have that the monthly payment must not exceed 28% of the buyer’s monthly income

So in this case, let the monthly income be x

So therefore;

28% of x = 1460

Thus;

28/100 * x = 1460

28x = 100 * 1460

x = (100 * 1460)/28

x = 5214.30

Using exponential function concepts, it is found that the constant 1.0015 reveals that the quantity increases by 0.15% each decade.

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

In this problem, the function is:

\(f(t) = 9900(1.0015)^{10t}\)

In which t is the time in decades.

The growth rate is r = 0.0015, as \(1 + r = 1.0015 \rightarrow r = 0.0015\), hence the constant 1.0015 reveals that the quantity increases by 0.15% each decade.

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Answer:

look at my profile pic

Step-by-step explanation:

Answer:

the anwaer is 7

Step-by-step explanation:

7ssasoskwkekeieke

Grey will record interest during the year totaling $500.

For the stated question-

Borrowed money from national bank =  $15,000.

Time 120 days.

10% interest-bearing note

Thus, interest during the year;

interest = 15000 x 120 x 0.10 / 360 (days)

interest = 500

Thus, Grey will record interest during the year totaling $500.

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A regular polygon with an interior angle of 162° has 20 sides. To calculate the number of sides in a regular polygon given the measure of an interior angle.

We can use the formula:

n = 360° / (180° - A)

where n is the number of sides and A is the measure of the interior angle.

For an interior angle of 160°:

n = 360° / (180° - 160°) = 360° / 20° = 18

Therefore, a regular polygon with an interior angle of 160° has 18 sides.

For an interior angle of 162°:

n = 360° / (180° - 162°) = 360° / 18° = 20

Therefore, a regular polygon with an interior angle of 162° has 20 sides.

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Answer:

11

Step-by-step explanation:

See the attached image:  the outer numbers count girls clockwise, showing Antonia at point J.  The inner numbers show counting anticlockwise, showing Antonia as number 8, then continuing the count past her.

Aha!  The inner and outer numbers always sum to 13.

But anticlockwise #12 really counted herself as #1 (she's being counted twice), so there aren't 12 girls, there are 11.

If you're not convinced, draw a picture with, say,  5 girls in it, number them counting both ways.

Five pairs of shoes = 5(4x² - 9) = 20x² - 45.

Four bags = 4(2x² - 3x + 5) = 8x² - 12x + 20

-> Total cost = 20x² - 45 + 8x² - 12x + 20 = 28x² - 12x - 25.

The probability of getting a pink bead out of the storage box containing a sum total of 175 beads is 0.1428

As per the question statement, we are supposed to find the probability of getting a pink bead out of the storage box containing a sum total of 175 beads.

It is given that there are 25 pink beads in the storage box.

Probability = Favorable outcome / Total value

Probability = 25/175

Probability = 0.1428

Hence, the probability of getting a pink bead out of the storage box containing a sum total of 175 beads is 0.1428

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Answer:

y=2/3x-2

Step-by-step explanation:

Answer:

Therefore, the length of the perpendicular CD is 8.4 m, and the lengths of the two sides of the triangle are AC = BC = 22.8 m.

Step-by-step explanation:

Let ABC be the right triangle with right angle at C, and let CD be the perpendicular from C to AB, as shown in the attached image.

We are given that CD divides AB into two parts of 23.04 m and 1.96 m. Let x be the length of CD. Then, by the Pythagorean Theorem:

AC^2 + x^2 = 23.04^2 (1)

BC^2 + x^2 = 1.96^2 (2)

Since AC = BC (since the triangle is a right triangle with equal legs), we can subtract equation (2) from equation (1) to get:

AC^2 - BC^2 = 23.04^2 - 1.96^2

Since AC = BC, we have:

2AC^2 = 23.04^2 - 1.96^2

Solving for AC, we get:

AC = BC = sqrt((23.04^2 - 1.96^2)/2) = 22.8 m

Now, we can use equation (1) to solve for x:

AC^2 + x^2 = 23.04^2

x^2 = 23.04^2 - AC^2 = 23.04^2 - 22.8^2

x = sqrt(23.04^2 - 22.8^2) = 8.4 m

Therefore, the length of the perpendicular CD is 8.4 m, and the lengths of the two sides of the triangle are AC = BC = 22.8 m.

From the given condition m ∠LOM = m ∠JKI, m ∠MON = m ∠IKH it is proved that m ∠LON = m ∠HKJ as they are congruent angles.

Congruent angles are defined as angles with equal measure. According to the question,

m ∠LOM = m ∠JKI  (given congruent angles)   _____(1)

m ∠MON = m ∠IKH  (given congruent angles)  _______(2)

Add both the side angle  m ∠MON in (1) we get m ∠LOM + m ∠MON = m ∠JKI + m ∠MON

Replace angle  m ∠MON = m ∠IKH from (2)  on right-hand side we get,

m ∠LOM + m ∠MON = m ∠JKI + m ∠IKH  ____(3)

m ∠LOM + m ∠MON = m ∠LON  ( M is the interior point of ∠LON)  ___(4)

m ∠JKI + m ∠IKH = m ∠HKJ  ( I is the interior point of ∠HKJ)  ___(5)

Form (3), (4), and (5) we get, m ∠LON = m ∠HKJ  (Congruent angles)

Hence, from the given condition it is proved that m ∠LON = m ∠HKJ, are congruent angles.

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Answer:

zero

Step-by-step explanation:

\(\overrightarrow{u} = \overrightarrow{a} - \overrightarrow{b}\\\\\overrightarrow{v}= \overrightarrow{a} + \overrightarrow{b}\\\\\overrightarrow{u} . \overrightarrow{v} = a^2 - b^2 \\\\\overrightarrow{u} . \overrightarrow{v} = 2^2 - 2^2 = 0\)

So, vector u and vector v are perpendicular to each other.

The taxpayer who would most likely benefit from an installment sale is Allan, who sold a business use car at a net gain that was less than the amount of depreciation.

An installment sale is a transaction in which the sales price is received over a period of time that spans more than one tax year. Installment sales may have tax advantages, which is why taxpayers should consider them.

The taxable profit in an installment sale is not calculated using the entire sales price. Instead, it is calculated by applying the gross profit percentage to each installment's payments received during the year. In general, if an installment sale meets the definition, the taxpayer reports income from the sale as the payments are received, rather than in the year of sale.

However, in some situations, taxpayers might choose to report the entire profit from an installment sale in the year of sale. In such instances, an election to do so must be made.

The difference between the sales price and the adjusted cost basis of the asset is known as the gain. The gain is reduced by selling expenditures to arrive at the net gain. Net gain occurs when the sales price of a commodity is higher than its cost of acquisition and other fees or expenses related to its purchase and sale.

Depreciation is a term used in accounting and finance to describe the systematic decrease in the value of an asset over time due to wear and tear. It is an expense that lowers a company's net income and lowers the value of an asset on the balance sheet.

Hence, Allan, who sold a business use car at a net gain that was less than the amount of depreciation, will most likely benefit from an installment sale.

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Answer:

I think both are 75

Step-by-step explanation:

I know the bottom one is definitely 75.

For the top, if you substitute 75 for the y and 1 for the X, the only answer is 75. Please Mark Brainliest if correct.

The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.

In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.

By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.

Therefore, a left-tailed hypothesis test is appropriate in this scenario.

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Answer:

B

Step-by-step explanation:

Using the rules of radicals

\(\sqrt{\frac{a}{b} }\) = \(\frac{\sqrt{a} }{\sqrt{b} }\)

Given

\(\sqrt{\frac{2}{x} }\) × \(\sqrt{\frac{x^2}{8} }\)

= \(\sqrt{\frac{2x^2}{8x} }\) ←  cancel 2 and 8 and x² and x

= \(\sqrt{\frac{x}{4} }\)

= \(\frac{\sqrt{x} }{\sqrt{4} }\)

= \(\frac{\sqrt{x} }{2}\) → B

Answer:

Speed of the car is equivalent to 159.39 KM/hour or 2.6565 Km/min.

-Step by Step-:

-The speed of the car is given as  99 mi/hour.

Now, WE know that 1 Mile = 1.61 KM

Hence, in order to calculate the speed of the car in KM/hour we will multiply the speed of the car in miles with 1.61.

⇒The speed of the car in KM/hour = 99 × 1.61 KM = 159.39 KM/hour

Also, 1 hour = 60 minutes

⇒ Speed of the car in KM/min = (159.39) ÷ 60 = 2.6565 K/min

Answer: 27

Step-by-step explanation:

Answer:

a. -10/7

b. 5/7

c. -3.82

d. 6 1/2

Political sessions were attended by 707 representatives from all of South America.

Ratios: A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girl.

It has been reported that 8,475 persons attended a political event in South America.

The 12 nations and 3 territories of South America were equally

represented.

The proportion of attendees from each nation to the total number of

countries indicates the number of representatives who attended.

How many representatives there are is =

total number of attendees / total number of participating nations

8,475 / 12 = the number of representatives

There are 706.25 x 707 representations.

Consequently, 707 delegates from each nation attended political conferences.

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If two events are collectively exhaustive, then the probability that both occur at the same time is 0 .(option-a)

Tossing a coin is an illustration of two occurrences that are both mutually exhaustive and mutually exclusive. When we flip a coin, we can only obtain either a head (H) or a tail (T), never both (H) and (T). As the events are mutually exclusive in this situation, the probability of receiving both a head and a tail is equal to P(H and T) = 0, and the chance of getting either a head or a tail is equal to P(H or T) = 1 since the occurrences are mutually exhaustive.

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Answer:

\(43.87^{\circ}\)

Step-by-step explanation:

We are given that

Height of mountain=350 m

Distance  from the tree to the skier=505 m

We have to find the angle of depression from where the skier is standing to the base of the tree.

In triangle ABC

\(\frac{AB}{AC}=sin\theta\)

By using the formula

\(\frac{Perpendicular\;side}{Hypotenuse}=sin\theta\)

\(\frac{350}{505}=sin\theta\)

\(sin^{-1}(\frac{350}{505})=\theta\)

\(\theta=43.87^{\circ}\)

Hence, the angle of depression from where the skier is standing to the base of the tree=\(43.87^{\circ}\)

A one-sample t-test is conducted to determine if recent Miss America winners have a significantly different BMI compared to winners from the 1920s and 1930s. The test results fail to reject the null hypothesis, indicating that recent winners do not appear to be significantly different from those in the 1920s and 1930s.

To determine if recent Miss America winners have a significantly different BMI compared to winners from the 1920s and 1930s, a one-sample t-test can be conducted. Using the given sample, the sample mean BMI is calculated to be 18.5.

The null hypothesis is that the population mean BMI of recent winners is equal to 19.2. The alternative hypothesis is that the population mean BMI of recent winners is different from 19.2.

Assuming a significance level of 0.05 and using a two-tailed test, the calculated t-value is -2.08 and the corresponding p-value is 0.057.

Since the p-value is greater than the significance level, we fail to reject the null hypothesis. This suggests that there is not enough evidence to conclude that recent Miss America winners have significantly different BMI compared to winners from the 1920s and 1930s.

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Answer:

90°

Step-by-step explanation:

\(x + 90 \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \therefore \: x = 180 \degree - 90 \degree \\ x = 90 \degree \)

Answer: (x–2) and (10x+7)

Step-by-step explanation:

10x^2 – 13x – 14=

10x^2 – 20x + 7x – 14=

10x(x–2) + 7(x–2)=(x–2)(10x+7) ==> 3rd option