-10×+8y=10 I cant figure it out , can someone help please.

Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.

\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)

\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)

\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)

Value of x = 20°

Hey! there . Thanks for your question :)

Answer:

Step-by-step explanation:

In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.

Solution :-

For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :

Step 1: Making equation :

\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)

Solving :

\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)

Step 2: Subtracting 10 on both sides :

\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)

We get ,

\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)

Step 3: Dividing both sides by 5 :

\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)

On cancelling , we get :

\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)

Verification :-

For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :

Therefore , our answer is correct .

The marginal cost when x = 25 and when x = 100 are $0.1 and $0.05 respectively.

A marginal production cost is a derivative of a cost function. From the information given, the total cost is:

The marginal production cost can be expressed as:

\(\mathbf{C'(x) = \dfrac{d}{dx}(\sqrt{x})}\)

\(\mathbf{C'(x) = \dfrac{1}{2\sqrt{x}}}\)

However, when the cost is 25, the marginal production is:

\(\mathbf{C'(25) = \dfrac{1}{2\sqrt{25} }}\)

\(\mathbf{C'(25) = \dfrac{1}{2\times5}}\)

\(\mathbf{C'(25) = \dfrac{1}{10}}\)

C' (25) = $0.1

Also, when the cost is 100, the marginal production is:

\(\mathbf{C'(100) = \dfrac{1}{2\sqrt{100} }}\)

\(\mathbf{C'(100) = \dfrac{1}{2\times10}}\)

\(\mathbf{C'(100) = \dfrac{1}{20}}\)

C' (100) = $0.05

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The class interval [15-19] has the greatest frequency, and the class interval [10-14] has the least frequency

From the question, we have the following parameters that can be used in our computation:

10. 9. 5. 19. 17

13. 2. 0. 4. 10

1. 16. 9. 7. 3

15. 17. 18. 16. 6

Using a class of 5, we have the following class intervals

0 - 4, 5 - 9, 10 - 14 and 15 - 19

When the frequencies of each class are counted, we have the following table

Interval Midpoint Frequency R/F        C/F

0 - 4 2           5                 5/20 5

5 - 9 7           5                 5/20 10

10 - 14 12           3                 3/20 13

15 - 19 17            7                 7/20 20

using the above as a guide, we have the following:

The class interval [15-19] has the greatest frequency 7

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Answer:

3/4 x 3/4 x 3/4 = 27/64 (twenty-seven / sixty-four)

Answer:

27/64

Step-by-step explanation:

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

To find the quotient of the expression (-15b^5 + 18b^3) divided by 3b, we can perform the division by simplifying each term separately.

First, let's divide -15b^5 by 3b:

(-15b^5) / (3b) = -15/3 * b^5/b = -5 * b^(5-1) = -5b^4

Next, let's divide 18b^3 by 3b:

(18b^3) / (3b) = 18/3 * b^3/b = 6 * b^(3-1) = 6b^2

Now, we have simplified each term individually. The resulting expression is:

-5b^4 + 6b^2

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

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Hello!

25 wooden ..... 5.5 hours

x wooden ..... 9.9 hours

_____________________

25/x = 5.5/9.9

25 × 9.9 = x × 5.5

247.5 = x × 5.5

x × 5.5 = 247.5

x = 247.5 : 5.5

x = 45 wooden

Good luck! :)

Answer:

45

Step-by-step explanation:

In questions such as these it is implied Anita can and does work at a constant rate. Therefore, we can set up the following proportion:

\(\frac{25}{5.5}=\frac{x}{9.9}\), where \(x\) represents the number of wooden slats she can paint in 9.9 hours.

Multiplying both sides by 9, we get:

\(x=\frac{9.9\cdot 25}{5.5},\\x=\boxed{45}\)

Answer:

n=11

Step-by-step explanation:

36x^2+ 53x + 11 can be written as (9x+11)(4x+1)

by comparison, n=11

Answer:

12

Step-by-step explanation:

if this helped, please mark me as brainliest thank you!

12,

The multiples of 12 are 12,24,36,48,60,72

6,

The multiples of 6 are 6,12,18,24,30,36

After checking the numbers, the least multiple shared by the denominators is 12.

LCD = 12.

Answer:

(2,5)

Step-by-step explanation:

\(\left(\frac{9-5}{2}, \frac{0+10}{2} \right)=(2,5)\)

The Midpoint of the Line Segment AB that has the endpoints A(9,0) and B(-5,10) is (2,5).

In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.

Now it is given that,

The endpoints of line segment is  A(9,0) and B(-5,10)

So, x₁ = 9

y₁ = 0

x₂ = -5

y₂ = 10

To find the midpoint of AB we have,

{[(x₁+x₂ )/2] , [(y₁+y₂ )/2]}

Put the values, we get

{[(9+(-5) )/2] , [(0+10 )/2]}

solving them,

{(4/2) ,(10/2)}

or,

(2,5)

which is the required midpoint of the line segment.

Hence,the Midpoint of the Line Segment AB that has the endpoints A(9,0) and B(-5,10) is (2,5).

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Answer:

Do you think the rate of death due to pandemic will rise over the next month?

Considering the increase in death rate due to pandemic over the last 2 months, there will be an increase over the next 4 months?

Step-by-step explanation:

It is important to create a truly unbiased sample and survey questinos so that the results are authentic and can be generalized to represent a population.

Answer:

B

Step-by-step explanation:

apply difference of two squares

The equation of a vertical line is given as x = a, where a is the value that x takes.

Hence, the equation of vertical line that contains the point (3, 4) is

x= 3

A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.

One possible set could be 3 cm, 4 cm, and 5 cm.

To verify if this set forms a right triangle, we can apply the Pythagorean theorem.

Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.

Adding these two values together gives us 25.

Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.

It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.

There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.

These sets are known as Pythagorean triples.

Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.

In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

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Answer:

  2,856,271

Step-by-step explanation:

We presume your equation is intended to be ...

  P = 1,030,000(1.12)^t

To find the prediction in 9 years, put 9 where t is and do the arithmetic.

  P = 1030000(1.12^9) ≈ 2,856,271

In 9 years, the population is predicted to be about 2,856,271.

Answer:

To predict the population in nine years, substitute 9 for t in the equation and simplify:

P = 1,030,000(1.12)9

  = 1,030,000 ∙ 2.77

  = 2,853,100.

Step-by-step explanation:

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

a) The mean of the data-set is of 2.

b) The range of the data-set is of 4 units, which is of around 4.3 MADs.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:

Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)

Mean = 2.

The range is the difference between the largest observation and the smallest, hence:

4 - 0 = 4.

4/0.93 = 4.3 MADs.

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The simplified expression is  d/ c⁴.

To simplify the expression cd³ c⁻⁵ x d⁻², we can combine the variables with the same base (c and d) by adding their exponents:

Using the property of exponents as

When multiplying two exponential expressions with the same base, you can add the exponents. This can be expressed as follows:

aᵇ x aⁿ= aᵇ⁺ⁿ

When dividing two exponential expressions with the same base, you can subtract the exponents. This can be expressed as follows:

aᵇ / aⁿ= aᵇ⁻ⁿ

So, cd³ c⁻⁵ x d⁻²

= c¹⁻⁵ x d³⁻²

= c⁻⁴ x d¹

= dc⁻⁴

Again from the property of exponents

a⁻ᵇ = 1/aᵇ

So,  dc⁻⁴

= d/ c⁴

Therefore, the simplified expression is  d/ c⁴.

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Answer: 2x+5=75. X=35.

Step-by-step explanation: Let’s make the number x. It says twice the number. So that would be x times 2 or two x. Then the sum of twice a number and five. So it would be 2x+5. That equals to 75. So the equation would be 2x+5=75. Then to solve it, subtract five from both sides. 2x=70. Then divide the whole thing by two. X=35.

Applying the Intersecting Secants and Tangents Theorem, the measures are: CD = 19.5 units;     UZ = 12.8 units

a. Apply the intersecting secant-tangent theorem to create the equation below:

EG² = EC * ED

Plug in the values:

13² = 6.5 * (6.5 + CD)

169 = 42.25 + 6.5CD

169 - 42.25 = 6.5CD

126.75/6.5 = CD

CD = 19.5 units

b. Apply the intersecting secants theorem to create the equation below:

UX * UY = UZ * UW

Plug in the values:

8 * 64 = UZ * 40

512/40 = UZ

UZ = 12.8

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Answer:

(a): \(\bar x = 5.54\)   and  \(Median = 4.86\)

(b): \(\bar x = 5.27\) and \(Median = 5.21\)

(c): New York Yankees

Step-by-step explanation:

Given

Data of New York ERA and Baltimore ERA

Solving (a): Mean and Median of New York ERA

Mean is calculated as:

\(\bar x = \frac{\sum x}{n}\)

For New York ERA, n = 19. So, we have:

\(\bar x = \frac{3.13 + 2.88 + 4.99 + 3.99 + 4.68 + 5.80 + 6.81 + 0.98 + 4.86 + 5.93 + 2.88 + 3.92 + 4.08 + 3.00 + 7.50 + 9.00 + 5.40 + 7.36 + 18.00}{19}\)

\(\bar x = \frac{105.19}{19}\)

\(\bar x = 5.53631578947\)

\(\bar x = 5.54\)

To calculate the median value, we first arrange the data (in ascending order):

So, we have:

0.98, 2.88, 2.88, 3.00, 3.13, 3.92, 3.99, 4.08, 4.68, 4.86, 4.99, 5.40,  5.80, 5.93, 6.81, 7.50, 7.36, 9.00, 18.00

The median value of odd number of data is:

\(Median = \frac{1}{2}(n+1)\ th\)

Substitute 19 for n

\(Median = \frac{1}{2}(19+1)\ th\)

\(Median = \frac{1}{2}(20)\ th\)

\(Median = 10th\)

So, the median is the 10th item.

\(Median = 4.86\)

(b): Mean and Median of Baltimore ERA

Mean is calculated as:

\(\bar x = \frac{\sum x}{n}\)

For Baltimore ERA, n = 17. So, we have:

\(\bar x = \frac{4.58+ 5.77+ 5.21+ 6.51+ 4.29+ 2.50+ 5.23+ 4.31+ 4.87+ 3.14+ 2.57+ 7.92+ 7.79+ 5.40+ 2.92+ 10.13+ 6.52}{17}\)

\(\bar x = \frac{89.66}{17}\)

\(\bar x = 5.27411764706\)

\(\bar x = 5.27\) --- approximated

Arrange in ascending order:

2.50 , 2.57 , 2.92 , 3.14 , 4.29 , 4.31 , 4.58 , 4.87 , 5.21, 5.23 , 5.40 ,5.77  , 6.51 , 6.52, 7.79 , 7.92 , 10.13

\(Median = \frac{1}{2}(n+1)\ th\)

\(Median = \frac{1}{2}(17+1)th\)

\(Median = \frac{1}{2}(18)th\)

\(Median = 9th\)

So, the median is the 9th item.

\(Median = 5.21\)

(c): Who has a better record

Statistically, the average ERA of New York Yankees is better than the average ERA of Baltimore Orioles.

Hence, New York Yankees hold the better record

Answer:

Can you be more specific on this question?

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following data:

First round of scores :

71 65 67 73 74 73 71 71 74 73 71 70 75 71 72 71 75 75 71 71 74 75 66 75 75 75 71 72 72 73 71 67

STEM AND LEAF PLOT of 1st ROUND SCORES:

Stem - - | - - Leaf

______________

6 - - - | - - 5 6 7 7

7 - - | - - 0 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 3 4 4 4 5 5

- - - | - - 5 5 5 5 5

Second round scores :

69 69 73 74 72 72 70 71 71 70 72 73 73 72 71 71 71 69 70 71 72 73 74 72 71 68 69 70 69 71 73 74

STEM and LEAF PLOT of 2nd ROUND SCORES:

Stem - - | - - Leaf

______________________________

6 - - | - - 8 9 9 9 9 9

7 - - | - - 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3

- - - | - - 4 4 4

Both set of data have similar shape, showcasing what we can call a negative skew with the tail to the leaf and peak to the right of the distribution.

The length of the guy wire to the nearest foot would be = 10 ft.

The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.

The distance from the stake to the pole (opposite) =a = 5 ft

The distance from the pole to the tower (adjacent) =b= 9ft

The length of the guy wire= c = X

Using the Pythagorean formula:

c² = a² + b²

c² = 5² + 9²

c² = 25+81

c² = 106

C = √106

C= 10 ft ( to the nearest foot)

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Complete question:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.

The book has a lower cost per minute than the movie.

To find the cost per minute of the book, we divide the cost by the number of minutes:

cost per minute of book = $15 / 200 minutes = $0.075 per minute

To find the cost per minute of the movie, we need to convert the time to minutes.

2 hours and 39 minutes is equal to:

2 hours x 60 minutes/hour = 120 minutes

39 minutes = 39 minutes

Total minutes = 120 + 39 = 159 minutes

cost per minute of movie = $14 / 159 minutes = $0.088 per minute

Therefore, the book has a lower cost per minute than the movie.

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Answer:

h=4

Step-by-step explanation:

3h-18=10-4h

-18=10-7h

-28=-7h

-h=-7

h=7

Answer:

2034

Step-by-step explanation:

Answer:

It's totally correct with no doubt

Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

MR = MN+NP+PQ+QR

MN=4 and MN≡QR so QR=4

PQ=6 and PQ≡NP so NP=6

MR = 4+6+6+4 = 20

\( \: \: \: \: \large\bf\implies \: 4.32\)

\( \longrightarrow \bf \: 1.42 - ( - 2.9) \\ \longrightarrow \bf \: 1.42 + 2.9 \\ \longrightarrow \bf \: 4.32\)

First of all we know that to do this type of question that is ↓