Find a solution to the linear equation 13x+y=26

Answer: 24 years

Step-by-step explanation:

% • total = Answer

4.25% • $40,000 = Answer

.0425 • $40,000 = Answer

Answer = $1,700 per year

40,000 ÷ 1,700 = 23.5

23.5 rounded to the nearest year is 24

Answer:

-5 + 6 = 1

Step-by-step explanation:

The model number may be used to simplify -5 + 6 = 1

The cost of the 28 inches and 36 inches diagonal Smart TVs, based on the quadratic cost function are;

28 - inch diagonal; $134

36 - inch diagonal; $165

A quadratic function is a function of the form f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The cost of the Smart TV as a function of the diagonal length is C(d) = 0.322·d² - 16.776·d + 351.444

The above function indicates that the cost of a Smart TV that is 28 inches long is; C(28) = 0.322 × 28² - 16.776 × 28 + 351.444 ≈ 134

The cost of a Smart TV with a diagonal of 36 inches is therefore;

C(36) = 0.322 × 36² - 16.776 × 36 + 351.444 ≈ 165

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Answer:

1. Length BC is 1200 ft

2. Angle B is 48.6°

3. Angle C is 41.8°

Step-by-step explanation:

1. Determination of the length BC

Side opposite C = c = 800 ft

Side opposite B = b = 900 ft

Angle A = 89.6°

Side opposite BC = a =?

Using cosine rule, we can obtain length BC as follow:

a² = b² + c² – 2bc CosA

a² = 900² + 800² – 2 × 900 × 800 × Cos89.6

a² = 810000 + 640000 – 1440000 × 0.007

a² = 1450000 – 10080

a² = 1439920

Take the square root of both side

a = √1439920

a ≈ 1200 ft

Thus, length BC is 1200 ft

2. Determination of angle B

Side opposite B = b = 900 ft

Side opposite A = a = 1200 ft

Angle A = 89.6°

Angle B =?

Angle B can be obtained by using sine rule as follow:

a / Sine A = b / Sine B

1200 / Sine 89.6° = 900 / Sine B

Cross multiply

1200 × Sine B = 900 × Sine 89.6°

1200 × Sine B = 900

Divide both side by 1200

Sine B = 900/1200

Sine B = 0.75

Take the inverse of Sine

B = Sine¯¹ 0.75

B = 48.6°

Thus, angle B is 48.6°

3. Determination of angle C

Side opposite C = c = 800 ft

Side opposite A = a = 1200 ft

Angle A = 89.6°

Angle C =?

Angle C can be obtained by using sine rule as follow:

a / Sine A = c / Sine C

1200 / Sine 89.6° = 800 / Sine B

Cross multiply

1200 × Sine C = 800 × Sine 89.6°

1200 × Sine C = 800

Divide both side by 1200

Sine C = 800/1200

Sine C = 0.6667

Take the inverse of Sine

C = Sine¯¹ 0.6667

C = 48.6°

Thus, angle C is 41.8°

Items that can be produced and sold in order to make a profit is

\(5\leq n\leq 38\)

Given :

The cost of producing n items is (950+63n). The items can be sold for (280-5n) per item

Cost price = \(950+63n\)

Selling price is 280-5n for one item

Selling price of 'n' items

\(n \cdot (280-5n)\\280n-5n^2\)

We know that ,  profit = selling price for n items  - cost price for n items

We make profit only when selling price - cost price >=0

Lets replace the expressions

\(280n-5n^2 - (950+63n)\geq 0\\280n-5n^2 - 950-63n\geq 0\\\\-5n^2+217n-950\geq 0\)

Solve the inequality for n

Apply the quadratic formula to solve for n

\(-5n^2+217n-950=0\\n=\frac{-217\pm \sqrt{217^2-4\left(-5\right)\left(-950\right)}}{2\left(-5\right)}\\n=\frac{-217\pm \:3\sqrt{3121}}{2\left(-5\right)}\\n=\frac{-217+3\sqrt{3121}}{2\left(-5\right)},\:n=\frac{-217-3\sqrt{3121}}{2\left(-5\right)}\\n=4.94022 ,\:n=38.45977\)

Now we check the inequality

lets pick a number before 4.9 , n=4

\(-5n^2+217n-950\:\geq 0\\-162\geq 0 false\\\\Pick, n=10\\-5\left(10\right)^2+217\left(10\right)-950\geq 0\\720\geq 0 true\\\\Pick, n=40\\-5\left(40\right)^2+217\left(40\right)-950\geq 0\\-270\geq 0 false\\\)

n=40 satisfies our inequality  

40 lies between n=4.9  and n=38

So, \(5\leq n\leq 38\) items can be produced and sold in order to make a profit

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24 is not a perfect square.

A perfect square is a number that can be written as a product of an integer and another integer itself.

To determine the square root of 24

24 = 6 * 4

6 square can be drawn of 4 small squares

\(\rm \sqrt {24} = \sqrt{ 4*6} \\\\=\sqrt{4} * \sqrt{6} \\\\= 2 \sqrt{6}\)

Therefore 24 is not a perfect square.

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Here is the attached image for the answer. If you write it in in slope-intercept form, y=mx+b. You will get the answer below in the attached image.

Answer: 9

Step-by-step explanation: To divide we need to flip the second fraction we are dividing by. For example:

10/1 divided by 1/4 = 10/1 times 4/1. So in this case, the answer is 40.

Now lets try it with 1/9.

X divided by 1/9 = X times 9/1.

So dividing by 1/9 is equal to multiplying by 9.

Answer:

Two independent sample t test

Step-by-step explanation:

The research described describes the statistics of two different samples which are also independent,

Sample 1 :

Sample size, n1 = 16

Mean, xbar = 4.75

Standard deviation s2 = 2.8

Sample 1 :

Sample size, n1 = 15

Mean, xbar = 3.93

Standard deviation s2 = 2.4

The hypothesis :

H0 : μ1 = μ2

H1 : μ1 ≠ μ2

The t statistic :

(xbar1 - xbar 2) ÷ sqrt[(s1²/n1 + s2²/n2)

From on the test statistic, obtain the p value and compare with Given α - value to make and conclude in a decision.

Answer:Parallelogram, rhombus ,square

Step-by-step explanation:

Answer: 14

Step-by-step explanation:

300 minus 80 = 220

220 is the budget for the shirts so we divide 220 by 15 to get 14

Hope this helps!

Answer:14 shirts

Step-by-step explanation:300- 80 = 220

220/ 15 = 14.6  round 14.6 to 14 (because you cant buy half a shirt)

you can get 14 shirts

Answer:

3 : 4

Step-by-step explanation:

meat : tomatoes

= 1.5 : 2 ( multiply both parts by 2 )

= 3 : 4

Answer:

1. 49/150

2. 107/300

Step-by-step explanation:

Here is a probability question.

a. The first question asks us to find the probability of getting more than 4.

Now to do this, we look at our possible results when we roll the die, we can see that we can have 1-6.

But within this range, only two numbers are greater than 4, these are 5 and 6

Thus, to calculate the probability of getting either 5 or 6, we look at their frequencies, sum it up, then divide by the total number of times which the die was rolled.

The frequency of 5 is 47, while that of 6 is 51

The probability of getting more than 4 = Probability of getting 5 + Probability of getting 6 = (Frequency of 5 + Frequency of 6)/Total number of trials

= (47 + 51)/300 = 98/300 = 49/150

b. Probability of getting less than 3

Here, we proceed as we did in the first question. The numbers which are less than 3 are 1 and 2.

So the probability of getting less than 3 = Probability of getting 1 + Probability of getting 2 = (Frequency of 1 + Frequency of 2)/Total number of trials

Frequency of 1 = 62 while Frequency of 2 = 45

So, probability of getting less than 3 = (45 + 62)/300 = 107/300

Answer:

\(78,\!624,\!000\).

Step-by-step explanation:

Note the requirements:

Because of that, permutation would be the most suitable way to count the number of possibilities.

There are \(\displaystyle P(26,\, 3) = \frac{26!}{(26 - 3)!} = 26 \times 25 \times 24 = 15,\!600\) ways to arrange three out of \(26\) distinct letters (without replacement.)

Similarly, there are \(\displaystyle P(10,\, 4) = \frac{10!}{(10 - 4)!} = 10 \times 9 \times 8 \times 7= 5,\!040\) ways to arrange four out of \(10\) distinct numbers (also without replacement.)

Therefore, there are \(15,\!600\) possibilities for the three-letter section of this password, and \(5,\!040\) possibilities for the four-digit section. What if these two parts are combined?

Consider: if the first three letters of the password were fixed, then there would be \(5,\!040\) possibilities. However, if any of the first three letters was changed, the result would be another \(5,\!040\!\) possibilities, all of which are different from the previous \(5,\!040\!\!\) possibilities. These two three-letter sections along will give \(2 \times 5,\!400\) possibilities. Since there are \(15,\!600\) three-letter sections like that, there would be \(15,\!600 \times 5,\!400 = 78,\!624,\!000\) possible passwords in total. That gives the number of possible passwords that satisfy these requirements.

1) The opposite face of the black circle is, Plus +.

2) The volume of the sliced cylinder is 96π cubic cm.

We have to given that;

Three different views of identical cubes are shown at right.

Now, From first and third dice,

Star is just opposite to symbol ~.

Hence, From second and third dice,

The opposite face of the black circle is, +

2) For the volume of the sliced cylinder, we need to first find the volume of the full cylinder and then subtract the volume of the smaller cylinder that's left after the slice is made.

Hence, The volume of the full cylinder is given by:

V = πr²h

Where r is the radius of the base and h is the height of the full cylinder.

Using the given values, we can find:

V = π(4²)(18)

V = 288π cubic cm

Now, let's find the volume of the smaller cylinder. The shorter height of 12 cm tells us that the slice removed 6 cm from the top of the cylinder. So the height of the smaller cylinder is,

18 - 6 = 12 cm.

The radius remains the same at 4 cm.

Thus, the volume of the smaller cylinder is:

V = π(4²)(12)

V = 192π cubic cm

Finally, we can find the volume of the sliced cylinder by subtracting the volume of the smaller cylinder from the volume of the full cylinder;

⇒ V = (288π) - (192π)

⇒ V = 96π cubic cm

Therefore, the volume of the sliced cylinder is 96π cubic cm.

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Answer: 2 triangles to 5 circles or 2:5

In order to find the simplest ratio, we must find a number that both of our numbers can be divided by. Our starting ratio is 6:15. Both numbers can be divided by 3. So our equation will look like this

6/3 : 15/3

6 divided by 3 is 2 and 15 divided 3 is 5.

This means our new ratio is 2:5

2 and 5 can do not have a number that both can be divided by which means our simplest ratio is 2 triangles to 5 circles or 2:5

I hope this helped & Good Luck <3 !!!

Step-by-step explanation:

Let

the number of oranges =x

The number of apples=x+12

\({:}\leadsto \)\(\sf x+x+12=36 \)

\({:}\leadsto \)\(\sf 2x+12=36 \)

\({:}\leadsto \)\(\sf 2x=36-12 \)

\({:}\leadsto \)\(\sf 2x=24 \)

\({:}\leadsto \)\(\sf x={\dfrac {24}{2}}\)

\({:}\leadsto \)\(\sf x=12 \)

Answer:

24 apples

Step-by-step explanation:

apples = x

oranges = y

y+12 = x

x+y = 36

y+y+12 = 36

2y = 24

y = 12

x = 24

PLS GIVE BRAINLIEST

When the graph of parent function above is shifted 3 units right, the equation becomes:

If it is stretch by a factor of 3, this means we will multiply the function by 3. The function becomes:

Then, if we add another transformation, that is shifted vertically down by 2 units then, this means, we will subtract 2 on the function. The function becomes:

Finally, if the function is reflected across the x-axis, then we will multiply -1 to the entire function. The function becomes:

The answer is found in Option B.

Answer:

- 7x + 5/10

Step-by-step explanation:

I used a calculator, please let me know if im incorrect

Answer:  B and D

Step-by-step explanation:

B=-2

D=2

The negative and positive signs cancel out, leaving you with zero.

Ex: you take two steps back, but then you take two steps forward so you're back where you started (0).

Answer:

\(\huge\boxed{\text{Around\ \ } 23}\)

Step-by-step explanation:

The Pythagorean Theorem states that

\(a^2 + b^2 = c^2\)

Where \(a\) is one leg of the triangle, \(b\) is the other, and \(c\) is the hypotenuse.

Since we know the legs and we need to find the hypotenuse \(c\), we can substitute inside the equation with the values 15 and 17.

\(15^2 + 17^2 = c^2\\\\225+289 = c^2\\\\514 = c^2\\\\c = \sqrt{514}\\\\c \approx 23\)

Hope this helped!

Answer:

Hypotenuse = 22.67

Step-by-step explanation:

\(a^2 + b^2 = c ^2\\\)

a = One Leg

b = Another Leg

c = Hypotenuse

\(17^{2} + 15^{2} = c^2\)

289 + 225 = \(c^2\)

514 = \(c^2\)

\(\sqrt{514} = c\)

c = 22.67

Answer:

i think its E

Step-by-step explanation:

The length of one of the remaining sides is 34.20 meters.

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Perimeter of an isosceles trapezoid =  sum of lengths of sides of a trapezoid

length of shorter base + length of longer base + (2 x legs)

108 = 11.5 + 28.1 + (2 x legs)

108 = 39.60 + (2 x legs)

108 - 39.60 =  (2 x legs)

68.40 =  (2 x legs)

leg = 68.40 / 2

= 34.20 meters

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Using the conversion from the 24-hour system to the AM/PM system, the patient should take the medicine at 10 PM.

22 divided by 12 has remainder 10, hence 22 is equivalent to 10 PM.

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The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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So, here on solving the provided question, we can say that  \(5^{2/3}\) to write it without exponent = \(25^{1/3} = 1.70997594668\) and \(4^{-3/2} = 64^{1/2} = 8\)

Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64.

here,

we have \(5^{2/3}\) to write it without exponent = \(25^{1/3} = 1.70997594668\)

and \(4^{-3/2} = 64^{1/2} = 8\)

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Answer:

hello

Step-by-step explanation:

\(12 \div n = 2 \div 3 \\ 2n = 36 \\ n = \frac{36}{2} \\ n = 18\)

have a nice day

Answer:

n= 18

Step-by-step explanation:

given

12 : n = 2 : 3

12 /n = 2/3

cross multiply

2n = 12 * 3

n = 36 / 2

n = 18

hope it helps :)

Answer:

(- ∞ , -8] U [-5 , + ∞)

Step-by-step explanation:

to solve inequality problems you need to gather all of variables (x) in arbitrary side and separate them from the integers.

7x>=-35 ==> [-5 , + ∞)

-24x-16>= -10x +96 => -102>= 14x => -8>=x ==> (- ∞ , -8]

(- ∞ , -8] U [-5 , + ∞)

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