Find the sum of the 1st 100 terms: 100+98+96+....

Answer:

Step-by-step explanation:

it is true because it is derived from the formula:sin^2 theta+cos^2 theta=1

Answer:

8

Step-by-step explanation:

Step 1: Add the cost of the posters together

Shark: 1 = $2

Jellyfish: 1 = $6

2 + 6 = 8

Step 2: Divide the result by the total amount Mr. Benson spent

64 ÷ 8

[tex]= \frac{64}{8}[/tex]

[tex]= 8[/tex]

Therefore, Mr. Benson bought 8 of each type of poster.

Answer:

Step-by-step explanation:

nncdsncnklnklnckas

Answer:

14x=x

inequal or no solution

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

When given the following equation:

3(-4) = 12x

Simplify the left, side to perform the given operations. Remember, when there are parentheses but no operations between the two parentheses, then the operation is mutliplciation.

-12 = 12x

Inverse operations, divide both sides by (12) to undo the operation on the left side,

-1 = x

Answer:

as there is a braket add the distributive law soo it will be -12=12x and rhen u will move the the 12 from x to the other side of the equation u dived it with -12 so u

Step-by-step explanation:

the answer -1=x

Answer:

The value of x is -5 and y is 1

Step-by-step explanation:

Here,

y = -3x - 14

-2x - y = 9

Substitution Method

y = -3x - 14 ...(1)

-2x - y = 9 ...(2)

Now, substitute the value of y = -3x - 14 in equation (2) we get,

-2x - y = 9

-2x - (-3x - 14) = 9

-2x + 3x + 14 = 9

x = 9 - 14

x = -5

Now, put the value of x in equation (1) we get,

y = -3x - 14

y = -3(-5) - 14

y = 15 - 14

y = 1

Thus, The value of x is -5 and y is 1

y = -3x - 14

1 = -3(-5) - 14

1 = 15 - 14

1 = 1

-2x - y = 9

-2(-5) - 1 = 9

10 - 1 = 9

9 = 9

Hence, L.H.S = R.H.S

-TheUnknownScientist

Answer:

please mark my answer as brainliest:

7/100, 1/19

1/20, 7/80

Step-by-step explanation:

firstly, figure out the total amount of students:

5+7+4+4=20

remember that dependant variables means you have to multiply the values

a)

figure out probability of choosing a green eyed student:

4/20

figure out probability of choosing a brown eyed student:

7/20

multiply values:

4/20 x 7/20 = 7/100

b)

probability of choosing a blue eyed student:

5/20 = 1/4

probability of choosing another blue eyed student:

4/19 (bc theres 1 less)

multiply:

1/4 x 4/19= 1/19

PART 2

a)

probability of choosing a hazel eyed student:

4/20

probability of choosing a blue eyed student:

5/20 = 1/4

multiply:

4/20 x 1/4 = 4/80= 1/20

b)

probability of choosing a brown eyed student:

7/20

probability of choosing a blue eyed student:

5/20 = 1/4

multiply:

7/20 x 1/4 = 7/80

Answer:

A

Step-by-step explanation:

-10-3= -13 which is the same as -10+ -3 which also equals -13

Answer: The answer is a

None of the numbers are fractions or decimals.

The answer would be

D. natural numbers, whole numbers, and integers

Answer:

[tex]x=26[/tex]

Step-by-step explanation:

✧༝┉┉┉˚*❋ ❋ ❋*˚┉┉┉༝✧

hope it helps...

have a great day!!

Answer:

everything is in the picture

Answer:

2 3/4 cups

Step-by-step explanation:

Jessica made 6 19/20 cups of punch. Her punch had two different types of juices in it. If the lunch had 4 1/5 cups of one type of juice, how many cups of the other type of juice did it have?

We solve this question using the Subtraction operation

Total cups = cups of first type of juice + cup of other type of juice

6 19/20 = 4 1/5 cups + x

x = 6 19/20 - 4 1/5 cups

Lowest Common Denominator = 20

x = 6 - 4 + (19/20 - 1/5)

x = 2 + (19 - 4/20)

x = 2 15/20 cups

x = 2 3/4 cups

Other type of juice had 2 3/4 cups of juice

Answer:

x = -22

Step-by-step explanation:

Subtract 5 from both sides

3x + 5 (-5) = 2x - 17 (-5)  

3x = 2x - 17

Subtract 2x from both sides

3x (-2x) = 2x (-2) -22  

x = -22

Answer:

18.5

Step-by-step explanation:

Population size:4

Mean (μ): 70.5

Mean Absolute Deviation (MAD): 18.5

Answer:

what is the question tho you didn't post it

have a good day :)

Step-by-step explanation:

The amount she will withdraw is $2,419.44. (option d)

The interest earned in the account is the difference between the amount invested and the future value of the investment.

Interest earned = future value - amount invested

The formula for calculating future value:

FV = P (1 + r)^nm

Where:

FV = 1000 x (1 + 0.0375)^(6 x 4)

= 1000 x (1.0375^24) = $2,419.44

Interest earned = $2,419.44 - $1000 = $1,419.44

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Answer:

The probability of drawing a purple marble is 3/10

Answer:

D

Step-by-step explanation:

Edge

The summation of the given geometric series is 70.5.

Geometric series is the sum of an infinite number of terms that have a constant ratio between the successive terms.

[tex]s_{n}= a\frac{(r^{n} -1)}{(r-1)}[/tex]     (when r>1)

or

[tex]S_{n} =\frac{a(r^{n}-1) }{1-r}[/tex]          (when r<1)

where,

r is the common ratio

a is the first term of first term of the series.

n is the total number of terms.

According to the given question

we have

geometric series [tex]\frac{1}{2} +2+8+32+128[/tex]

total number of terms, n=5

first term a =[tex]\frac{1}{2}[/tex]

[tex]r=\frac{2}{\frac{1}{2} }=4[/tex]

therefore,

summation of the given geometric series calculated as

[tex]s_{n} =\frac{1}{2} \frac{4^{5}-1 }{4-1}[/tex]

[tex]s_{n} =\frac{1023}{6}[/tex]

[tex]s_{n} = 170.5[/tex]

Hence, the summation of the geometric series is 170.5.

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Answer:

7 cones of 1 scoop ice cream were sold.

Step-by-step explanation:

A total of 15 scoops were sold .

Let x be the number of 2 scoop ice cream and y be the number of 1 scoop ice cream

Then

15= 2x+ y---- eq. 1

There were 11 cones sold.

and x+ y = 11--- eq.2

11-x= y

15= 2x+ y  

Putting value of y from eq.2 in eq. 1

15= 2x + 11-x

15= x+11

15- 11= x

x= 4

There will be 2*4=8 scoops  for 4 cones

ie 4 cones of two scoops ice creams will be sold.

11- 4= 7 cones

and 7 scoops for 7 cones

cool, what's the question?

Answer:

x = 9cm

using sine rule

a/sine(A) = b/sine(B)

a= x; A= 64° ( alternating angles)

b= 10 cm ; B = 90°

x/sine(64) = 10/sine(90)

x= {10 × sin(64)}/ sin 90

x = 9cm

Answer:

650

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

P(cold, med) = 25/100 x 12/25 = 12/100 or 12%

The probability that a customer ordered a small given that he or she ordered a cold drink is, 32%

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Since, The probability is represented as:

P(Small | Cold)

This is calculated using:

P(Small | Cold) = n(Small and Cold)/n(Cold)

Using the data on the given table, we have:

P(Small | Cold) = 8/(8 + 12 + 5)

Evaluate

P(Small | Cold) = 0.32

Express as percentage

P(Small | Cold) = 32%

Hence, the probability that a customer ordered a small given that he or she ordered a cold drink is 32%

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Answer:

17.6 miles.

Step-by-step explanation:

Use Pythagoreans Theorem to find c.

a^2+b^2=c^2

49 + 9 = c^2

58 =c^2

√58=c

7.6=c

Now add all of your sides together to find the perimeter.

7 + 3 + 7.6 = 17.6 miles.

The perimeter of the triangle is 17.6 units.

The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.

Using the Pythagorean theorem, we can find the length of the hypotenuse c:

c² = a² + b²

c² = 7² + 3²

c² = 58

c = √58 ≈ 7.6 miles

The perimeter is the sum of the three sides:

Perimeter = a + b + c

Perimeter = 7 + 3 + 7.6

Perimeter ≈ 17.6 miles

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Answer:

5.2

Step-by-step explanation:

Formula for any right triangle is a^2 + b^2 = c^2

So plug in the values and you get:

a^2 + 3^2 = 6^2

convert the squared numbers and you get:

a^2 + 9 = 36

subtract 9 from both sides

9 = 36

-9 = -9

you get:

a^2 = 27

we can't have a squared number as our answer, so we find the square root of both.

[tex]\sqrt{a^2 = 27}[/tex]

a^2 cancels out and you get:

a = 5.2 (simplified and rounded to nearest tenth)

Answer:

3√3

Step by step explanation:

36^2- 3^2= 27

√27= 3√3

3√3 = 5.2

Answer:

0.6*4, and 0.4*6 yes

I think C and G yes and a e i no.

I am not sure. Tell me if I am wrong.

Step-by-step explanation:

Have a nice day!

Answer:

Rate of change= 9   Starting amount= 65

The equation would be y= 9x + 65

After 9 months, he would have 146 vreels

For the graph, put the points (0, 65) (2, 83) and (4, 101)

Answer:

168.5 m/s^2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Consider the points (0, 0 ) and (2, 100 )

slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{100}{2}[/tex] = 50

Then

y = 50x

Answer:

In the case of a polynomial with more than one variable, the degree is found by looking at each monomial within the polynomial, adding together all the exponents within a monomial, and choosing the largest sum of exponents.

Step-by-step explanation:

That sum is the degree of the polynomial.