How many terms are in the algebraic expression 3x^2+4y-1

Answer:

x = 30

y = 30

Step-by-step explanation:

The marked triangle is an equilateral triangle.

The top angle is marked as a right angle.

x + 60 = 90            Subtract 60

x = 90 - 60

x =30

The unmarked interior angle of the triangle that contains x and y is the supplement of a 60 degree angle

60 + unmarked angle = 180

unmarked angle = 180 - 60

unmarked angle = 120

unmarked angle + x + y = 180

120 + 30 + y = 180

150 + y = 180                 Subtract 150 from both sides.

y = 180 - 150

y = 30

The surface area of the cylinder is 905 square centimeters

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

Diameter, d = 12 cm

Height, h = 18 m

This means that

Radius, r = 12/2 = 6 cm

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

Surface area = 2πr(r + h)

Substitute the known values in the above equation, so, we have the following representation

Surface area = 2π * 6 * (6 + 18)

Evaluate

Surface area = 905

Hence, the surface area is 905 square centimeters

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Answer:

fight to the death

Step-by-step explanation:

this solves everything

Answer:

fourth number is 9

Step-by-step explanation:

let 'x' equal the fourth number

(5+7+7+x)/4 = 7

cross-multiply to get:

19 + x = 28

x = 9

Answer:

9 is the fourth number.

Step-by-step explanation:

9 is the fourth number because 7(mean) x 4(amount of numbers) = 28 and 7 plus 7 plus 5 plus 9 equals 28 so when you divide you get 7.

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer:

234

Step-by-step explanation:

From the given information :

The 4th term, a4

a1 = 3

a2 = 4(a1) + 2

a2 = 4(3) + 2 = 14

a3 = 4(a2) + 2

a3 = 4(14) + 2

a3 = 58

a4 = 4a3 + 2

a4 = 4(58) + 2

a4 = 232 + 2

a4 = 234

Answer:

Step-by-step explanation:

If you rolled a die 50 times and got (say) 8 1s, 7 2s, 9 3s, 10 4s, 9 5s and 7 6s, then the empirical probability of a 1 would be 8/50, of a 2 would be 7/50, of a 4 would be 10/50, of a 5 would be 9/50, and of a 6 would be 7/50.

Answer:

7(a-b)+1           or           7a-7b+1

Step-by-step explanation:

Start by combining like terms and you will have 7a-7b+1

If you want to take it one step further you can pull the 7 from both like 7(a-b)+1

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

Answer:

200 eggs

Step-by-step explanation:

7/35=40/x

simplify 7/35 into 1/5

1/5=40/x

cross product

5*40=1*x

200=x

Answer:

200 eggs

Step-by-step explanation:

First I divided 35 by 7 and got the answer 5. This means that each chicken will lay 5 eggs. 40 x 5 = 200. So 40 chickens will lay 200 eggs.

I hope this helps!!

Pls mark me brainliest

Based on the histogram above, the class width is equal to 4.

Based on the histogram above, the sample size is equal to 37.

In a frequency distribution table, a class width can be defined as the difference between the upper (maximum) and lower (minimum) boundaries of any class in a data set. This ultimately implies that, all classes must all have the same width in a frequency distribution table.

Mathematically, the class width of a data set can be calculated by using this formula:

Class width = (max - min)/n

Where:

In this context, the class width of this histogram can be calculated as follows;

Class width = max - min

Class width = 5 - 1

Class width = 4.

Furthermore, the sample size can be computed by adding all the frequencies of the corresponding rectangular bars of the histogram as follows;

Sample size = 6 + 10 + 4 + 2 + 7 + 8

Sample size = 37.

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Answer:

2d + 10.

Step-by-step explanation:

If four sandwiches cost $2.50 each, you have 4 * 2.5.

If two drinks cost $d each, you have 2 * d.

4 * 2.5 + 2 * d

= 10 + 2d

= 2d + 10.

Hope this helps!

Answer:

191

Step-by-step explanation:

1) Simplify 15-6 to 9

63  + 9 x 14 + 2

2) Simplify 9 x 14 to 126

63 + 126 + 2

3) Simplify 63 + 126 to 189

189 + 2

4) Simplify

191

Answer:

The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:

P = 1 - P(1) - P(0)

Where:

P(1) = probability that the vaccine is not effective in one individual

P(0) = probability that the vaccine is not effective in 0 individuals.

The probability that the vaccine is effective is 0.95

Then the probability that the vaccine is not effective is 0.05.

Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:

p(1) = (0.05^1)*(0.95^19)

But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)

Then the actual probability is:

P(1) = 20*((0.05^1)*(0.95^19)) = 0.377

And P(0) is easy to compute:

P(0) = (0.05^0)*(0.95^20) = 0.358

And here we have only one possible permutation, so we do not worry about that.

Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265

This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)

Answer:

75 points

Step-by-step explanation:

45÷60%×100%=75 points in total

Answer:

C: 2500

Step-by-step explanation:

1) Simplify the question down as much as you can

In the question we can simplify the \(10^{3}\) to 1000

We can also change the · into a ×

This means our final simplified question would be 2.5 × 1000

2) Solve

An easy way of doing 2.5 × 1000 is to move the decimal point however many zeros there are...

E.g. To move the decimal point 3 times we would go three points to the right which would be 2500

HINT:

Another way of doing it would be to use long multiplication!

Hope this helps, have a great day!

Answer:

W=2/(P-2L)

Step-by-step explanation:

He should sell the car at a price of $15,300 because the profit is more at this price than the others.

The best selling price is defined as if the profit is more than the amount is known as the best selling price.

Your friend wants to sell his car (Toyota SUV).

Your friend did some online research on similar cars and has found the following prices: $13,500 , $12,900, $15,300 , $13,700, and $12,000.

He should sell the car at a price of $15,300 because the profit is more at this price than the others.

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Uhm... I’m sorry I don’t really know the answer to your question I’m just answering it for points....

Answer:

EF = 12

Step-by-step explanation:

EF = 2(AD)

EF = 2(6) = 12

Answer:

least

-8

-6

7

|-8|

|-9|

greatest

Answer:

-8, -6, 7, |-8|, |-9|,

Step-by-step explanation:

|-8| and |-9| are equal to 8 and 9.

the intersection points are (1, 7) and (4, 13), So the correct option is A.

To see that, we need to see when the two equations:

y = -x²+7x+1

y = 2x + 5

Can be solved simultaneously for a point (x, y). So we need to solve a system of equations.

y = -x²+7x+1

y = 2x + 5

We can rewrite:

-x²+7x+1 = y =  2x + 5

Then we can solve this for x:

-x²+7x+1 =  2x + 5

x² - 5x + 4 = 0

This is just a quadratic equation, the solutions are:

\(x = \frac{-(-5) \pm \sqrt{(-5)^2 - 4*(1)*(4)} }{2} \\\\x = \frac{5 \pm 3 }{2}\)

So we have two values of x:

The correspondent values of y are:

y = 2*(4) + 5 = 13

y = 2*(1) + 5 = 7

Then the intersection points are (1, 7) and (4, 13)

Then the correct option is A. The dog will catch the frisbee.

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Answer:

5

Step-by-step explanation:

the answer to the problem is 6 KILA watts

Important Formula:

\(p=\dfrac{w}{t}\)

Where p is power(measured in watts), w is work(measured in joules), and t is time(measured in seconds).

\(w=60,000J\)

\(t=10s\)

\(p=?\)

____________

\(p=\dfrac{w}{t}\)

____________

\(p=\dfrac{60,000}{10}\)

____________

\(\fbox{p = 6,000 watts}\)

The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)

We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)

a) \((a^2 - b^2)\)

We can write the transpose of this matrix as

\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.

b) (A+B)(A-B)

Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)

Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)

Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.

c) ABA

Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

d) ABAB

Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.

Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

C., D. (they are the same point)

Step-by-step explanation:

4x + 2y < 6

A. (5, 7)

4(5) + 2(7) = 20 + 14 = 34

34 > 6, so A. is not an answer.

B. (0, 4)

4(0) + 2(4) = 0 + 8 = 8

8 > 6, so B. is not an answer

C. (1, 0)

4(1) + 2(0) = 4 + 0 = 5

4 < 6 is true, so C. is an answer.

D. (1, 0)

Why is D. the same as C.?