1. two positive numbers are in
a ratio of 3:4. the sum of
three times the first and two
times the second is 68. find
the smaller number?
solution​

Answer:

x = - 2, x = - 3, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

to find the zeros equate p(x) to zero , then

(x + 2)(2x² + 3x - 9) = 0 ← factor the quadratic

(x + 2)(x + 3)(2x - 3) = 0

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 3 = 0 ⇒ x = - 3

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Answer:

reflection

Step-by-step explanation:

by examination

Answer:

A reflection off the x axis

Step-by-step explanation:

Hope this helps!!!

Answer:

ans: 4/729

Step-by-step explanation:

here,

-2 ^2 = 4

and

(3^3)^2 = 3^6 = 729

= 4/729

The factor of decay in the function that represents the daily revenue of the store is 0.939.

The factor that represents decay is the factor that reduces the growth rate of revenue for this store. In the given function, the factor that represents decay would have a value that is less than one.

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Answer:

-2

Step-by-step explanation:

In the expression  [tex]8xy + 9x^2y -5x -2[/tex]

Therefore, the constant term is -2

Answer: -2  is the constant term in the expression 8xy + 9x2 y − 5x − 2

Step-by-step explanation:

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

the expression 8xy + 9x2 y − 5x − 2

now, we know that,

constant is the number with no variable attached to it.

-2  is the constant term in the expression 8xy + 9x2 y − 5x − 2.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \:( - 2 - 5i) - ( - 4 + 6i)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 2 - 5i + 4 - 6i)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 2 + 4 - 5i- 6i)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 - 11i[/tex]

Therefore, A is the Correct choice !

The value of the z statistic for the considered data is given by: Option C: 1.98 approximately.

If we're given that:

Then, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]

If the sample standard deviation is not  given, then we can estimate (in some cases) it by:

[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

where [tex]\sigma[/tex] = population standard deviation

For this case, we're specified that:

Thus, the value of the z-statistic is evaluated as:

[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{93.5 - 92}{2/\sqrt{7}} \approx 1.98[/tex]

Thus, the value of the z statistic for the considered data is given by: Option C: 1.98 approximately.

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Answer:

4:8 in simplified form would be 1/2

Step-by-step explanation:

Think of 4:8 as a fraction, so 4/8. Now, you can reduce it to the lowest form, which is 1/2. How? 4 is the numerator, and 8 is our denominator. Now, we divide 4 by 8. 4 divided by 8 equals 0.5, where 0.5 is converted into 1/2!

Using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b} = \dfrac{\sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

For this case, the missing image is attached below.

Applying the sine law, as we have:

The first two angles Y and Z are enough. (we use angle Z as the length of the side opposite to Z is known).

Using sine law, we get:

[tex]\dfrac{\sin(m\angle Y)}{y} = \dfrac{\sin(m\angle Z)}{2}\\\\y = \dfrac{\sin(75^\circ) \times 2}{\sin(50^\circ)} \approx 2.522 \approx 2.5 \: \rm units[/tex]

Thus, using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units

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Answer:

17,535 dollars

Step-by-step explanation:

5% of 16,700 is 835, so add the two together and you get your answer.

The area of the ground floor after it has been reduced to the nearest tenth is 10,681,800 square foot.

In order to determine the area of the ground floor after it has been reduced, the area of the floor has to reduced by 6.3%.

Area that was reduced = 6.3% x 11,400,000 = 718,200

New area = 11,400,000 - 718,200 = 10,681,800 square foot

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[tex]f(x) =2 x+1 \\\\ \text{If x = 2,}\\\\f(2) = 2(2) +1 = 4+1 = 5[/tex]

Answer:

5

Step-by-step explanation:

plug 2 in for x

f(2) = 2(2) + 1

f(2) = 5 [Asnwer]

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Adjacent Angles are the angles that shares a common arm, where as the vertical angles are the ones that are exact opposite to each other.

Now, since we know the concept, let's dig in ~

The expected count that can be deduced from the arrivals to the second compartment will be 200.

It should be noted that in order to perform a goodness of fit test, the expected number of rats that are in each compartment will be gotten.

Therefore, the expected number of rats that will be in the second compartment will be:

= 1/5 × 1000

= 200

In conclusion, the correct option is 200.

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Answer:

  No

Step-by-step explanation:

At one bucket per roll, four buckets will color four rolls, not 5.

__

The company cannot color 5 rolls of fabric with 4 buckets of dye.

Answer:

[tex]\displaystyle 600\frac{1}{2}\%[/tex]

Explanation:

Just move the decimal mark twise to the right and you will arrive at your result.

I am joyous to assist you at any time.

Answer:

11.7

Step-by-step explanation:

I think that is right because you have to - 35%

Answer:

B. It is isometric because all side lengths and angle measures remained the same

Step-by-step explanation:

Answer:

B) It is isometric because all side lengths and angle measures remained the same.

Step-by-step explanation:

Got it right on edge <3

Answer:-6°

Step-by-step explanation:

-3° the first hour -6° the next

Using the probability concept, it is found that there is a:

A. 0.5116 = 51.16% probability that a student will like Top-Hits.

B. 0.7907 = 79.07% probability that a student will like country or R&B.

C. 0.9186 = 91.86% probability that a student will not like all three generes of music.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

According to the Venn diagram, there is a total of 18 + 8 + 11 + 7 + 24 + 1 + 17 = 86 students.

Item a:

18 + 11 + 7 + 8 = 44 like top hits, hence:

p = 44/86 = 0.5116.

0.5116 = 51.16% probability that a student will like Top-Hits.

item b:

24 + 11 + 7 + 1 + 17 + 8 = 68 like country of R&B, hence:

p = 68/86 = 0.7907.

0.7907 = 79.07% probability that a student will like country or R&B.

Item c:

Only 7 like all three, hence 86 - 7 = 79 do not.

p = 79/86 = 0.9186.

0.9186 = 91.86% probability that a student will not like all three generes of music.

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The multiplicative inverse for √2-i = 1/(√2+1) and  The multiplicative inverse is √2+1 = 1/(√2-1)

Given Data

For√2+i

the real part is  is √2 and the imaginary part is i

The multiplicative inverse is √2+1 = 1/(√2-1)

rationalising the denominator we have

= 1/√2-1 * √2-1/√2-1

= √2-1/(√2-1)*(√2-1)

= √2-1/(2-√2-√2+1)

= √2-1/(-2√2+3)

For√2-i

the real part is  is √2 and the imaginary part is -i

The multiplicative inverse is √2-1 = 1/(√2+1)

Rationalising the denominator we have

= 1/√2+1 * √2+1/√2+1

= √2+1/(√2+1)*(√2+1)

= √2+1/(2+√2+√2+1)

= √2+1/(2√2+3)

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Answer:

$120

Step-by-step explanation:

Answer:

13 C 14 D 15 A 16 B

Step-by-step explanation:

Sorry thats all i know hope you found this helpful

Answer:

y= 2/1 + 0

Step-by-step explanation:

If there's not a y-int. it'll be 0.

The piecewise function that models the scenario is:

c(x) = $3.75*x + $5   if x < 6

c(x) = $3.25*x + $5  if x ≥ 6.

A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.

The function in this case, if we define x as the number of boxes bought, is:

Where the cost per box changes for x equal or larger than 6.

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Answer: should be B

Step-by-step explanation:

Answer:

e= 2/9

p= 3/9

Step-by-step explanation:

p is the answer

The more likely probability is selecting the letter P from the word “PINEAPPLE.”

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

To determine which letter is more likely to be selected, "E" or "P," we need to compare the number of occurrences of each letter in the word "PINEAPPLE."

In the word "PINEAPPLE," there is only one occurrence of the letter "E."

And , there are three occurrences of the letter "P" in the word "PINEAPPLE."

Therefore, the probability of selecting E = 2/9

And , the probability of selecting P = 3/9

Hence , it is more likely to select the letter P than E

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#SPJ2

Answer:

18x + 15

Step-by-step explanation:

First, deal with the first part of the question:

5(4x+3)

We multiply the outside of the brackets with the inside. So, we do

5 x 4x = 20x

and 5 x 3 = 15

then put them together:

20x+15

Now, the second part:

- 2x

We cannot simplify this further so we put the two parts together:

20x + 15 - 2x

Collect like terms (20x - 2x) =

18x + 15

I hope this helped. If you have any further questions, do ask.

- profparis

The apothem (x) is 11.62 units, the radius of the circle is 12 units, and the area of each segment is 48π − 23.25√3 square units.

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

An equilateral triangle with side lengths equal to 12√3 units is inscribed in a circle.

And half a side length of the equilateral triangle is 6√3 units.

The apothem (x) is units long and the radius of the circle will be

x² = (9√3)² - (6√3)²

x² = 243 - 108

x² = 135

 x = 11.62

And the radius of the circle will be

[tex]\begin{aligned} \cos 30 &= \dfrac{6\sqrt3}{r}\\\\\dfrac{\sqrt3}{2}&= \dfrac{6\sqrt3}{r}\\\\r &= 12 \end{aligned}[/tex]

Each segment of the circle has an area that will be

Area = the difference between the areas of the sector and triangle

Area = the areas of the sector - the areas of the triangle

The area of the sector will be

[tex]\rm Sector's \ area= \dfrac{120}{360} \pi *12^2 \\\\Sector's \ area= 48\pi[/tex]

The area of the triangle will be

[tex]\rm Triangle's \ area = \dfrac{1}{2*3} * 11.62 * 12\sqrt3\\\\Triangle's \ area = 23.25\sqrt3[/tex]

Then the area of each segment will be

Segment area = 48π − 23.25√3

More about the circle link is given below.

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Answer:

1. 6

2. 12

3. 48

4. 36

Step-by-step explanation:

Answer:

~Male Y/n here~ I think this would be your question in decimal form,

2304.6875

(Hope this helps!)