how do you divide 2.6 by 2.952

Answer:

Step-by-step explanation:

A: false

B: true

C: true

D: false

-1.5 is the difference in the sequence

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms are the same.

The difference is usually called the common difference. For example, the sequence 3, 6, 9, 12 have a common difference of 3 i.e. 6-3 = 3 or 9-6 = 3

Given: the sequence 4.5,3,1.5,0

The difference = 3 - 4.5 = -1.5 or 1.5-3 = -1.5

Note: You can pick any two consecutive terms to get the difference

Therefore, the difference in the sequence is -1.5

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Step-by-step explanation:

The line is a vertical line of the form x = a, where a is a real constant.

Sincw the line passes through the point (-5, 0), the line equation is x = -5.

Answer:

A) I) INDEPENDENT VARIABLE (II) DEPENDENT VARIABLE

B) I) EXPERIMENTAL STUDY (II) DEPENDENT VARIABLE (III) INDEPENDENT VARIABLE

Step-by-step explanation:

A) In the first statement, we are told that she conducts a study on 120 volunteers randomly assigned to five different insomnia treatment groups, one of which is a control group receiving a placebo. The number of hours slept per night is recorded for each participant over two weeks.

Thus;

I) The type of insomnia treatment is the "INDEPENDENT" variable.

II) The number of hours slept per night over 2 weeks is the "DEPENDENT" variable.

B) This also involves a research to find out the impact of a drug.

Thus;

I) It is an experimental study.

II) The difference in cholesterol level is the "DEPENDENT" variable

II) The treatment with drug or placebo is the "INDEPENDENT VARIABLE".

Answer:

y=15; y=5

Step-by-step explanation:

y=x2+2x

plug in x as 3:

y=3 2+ 2*3

y=9+6

y=15

Next problem:

y=x3-3

plug in x as 2:

y=2 3-3

y=8-3

y=5

Answer:

D

Step-by-step explanation:

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we have to do alot for this

so first we gotta change 12.3 into a mixed fraction

n = 5 so 5 ÷ 12.3

Based on the expenses, and the club donations, it can be inferred that the amount that the pancake breakfast grossed was $932.

Gross income refers to the amount that a company, project, or individual makes from sales before they have to withdraw their expenses.

In this case, the gross amount that the pancake business grossed was:

Amount of proceeds = Gross amount - Expenses

Gross amount = Amount of proceeds + Expenses

Solving for the gross from the pancake business gives:

= 880 + 52

= $932

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Answer:

it is either the second or fourth one

Step-by-step explanation:

The polynomial 1 / 10 x²  + 10 - 3x in standard form is 1 / 10 x² - 3x + 10.

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.

Standard form simply refers to the format of a polynomial expression where the terms are arranged by decreasing order of degree. Where the degree is determined by the exponent value of the variable of each term.

Therefore, let's rewrite the expression in standard form.

1 / 10 x²  + 10 - 3x

Hence, in standard form,

1 / 10 x² - 3x + 10

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Answer: 4

Step-by-step explanation: 16/4 = 4

Answer:

60

Step-by-step explanation:

40%=0.40

0.4x=24

x=24/0.4

x=60

After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

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Answer:

Step-by-step explanation:

Expanded form is a way to expand a number in addition form. Since the '9' is in the thousands place, it's value will be 9,000. With 6 in the hundreds place, it's value will be 600. This will occur the same thing with the tens and the ones place. Now, the answer to the question is explained below.

Hence, the number 9,648 in expanded form is '9,648 = 9,000 + 600 + 40 + 8'.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

y = -1/2x - 5

Step-by-step explanation:

To solve this (and questions like it), use the formula for the equation of a line:

y=mx+c, where y and x are any given co-ordinates, m is the slope, and c is the y-intercept.

Since we know that the slope is -1/2, we can plug this into our equation to replace m:

y=mx+c

y=-1/2x+c

To find c, we plug in our co-ordinate (4,-7), so that c is the only unknown, and we can solve for it:

y=-1/2x+c

-7=-1/2(4)+c

-7=-2+c

c=-5

Now that we know c, we can finish off our equation:

y = -1/2x + c

y = -1/2x - 5

Answer:

it will take at least 9 years for Lucy's investment to grow to more than $5,000. Since we can't have a fraction of a year, the answer is 10 years (rounded up from 9.09).

Step-by-step explanation:

We can solve this problem by using the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the amount of money in the account after t years

P = the initial investment (principal), which is $4,000 in this case

r = the interest rate per year, which is 3% expressed as a decimal (0.03)

n = the number of times the interest is compounded per year (we'll assume it's compounded annually, so n = 1)

t = the number of years

We want to find the number of years t it will take for the account balance to exceed $5,000. So we can set up the following inequality:

A > 5000

Substituting the values we have into the compound interest formula and simplifying, we get:

4000(1 + 0.03/1)^(1t) > 5000

Simplifying further, we get:

1.03^t > 1.25

To solve for t, we can take the logarithm of both sides of the inequality:

log(1.03^t) > log(1.25)

t*log(1.03) > log(1.25)

t > log(1.25) / log(1.03)

Using a calculator, we find that:

t > 9.09

The value of J ∩ F =  ∅

The value of J ∪ F = {c, e, f, g, k, j}

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Sets J and F are defined as follows;

J = {c, e, f}

F = {g, k, j}

Now,

Since, Sets J and F are defined as follows;

J = {c, e, f}

F = {g, k, j}

Hence, The value of J ∩ F =  {c, e, f} ∩ {g, k, j}

                                         = ∅

The value of J ∪ F = {c, e, f} ∪ {g, k, j}

                            = {c, e, f, g, k, j}

Thus, The value of J ∩ F =  ∅

The value of J ∪ F = {c, e, f, g, k, j}

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Answer:

150 degrees

Step-by-step explanation:

(Sorry, I know you don't want one but I posted this and then started editing it so hopefully you saw the answer already and I'm not delaying you or anything)

The interior of a quadrilateral always adds up to 360 degrees. y+80 = 180 degrees since they're on a straight line.

We have 3 angles: y = 100, 50, and 60.

360 - (100+50+60)

= 360 - 210

= 150

Answer:

6

Step-by-step explanation:

e = number of elephants

9 times as many monkeys as elephants

m = 9e

------------------------

60 animals all together

e + m = 60

e + 9e = 60

Combine like terms

10e = 60

Divide both sides by 10

e = 6

Answer: There’s technically no answer to this question, unless you specify that the zoo only has monkeys and elephants. If the zoo has more than two types of animal then the ratio doesn’t help because there are unknown variables.

However, if we knew that the zoo only has monkeys and elephants, then:

E = number of elephants

M = number of monkeys

M=9E

M + E = 60

9E+E= 60

10E = 60

E = 6

There are 6 elephants (and 54 monkeys).

Given the graph of a Piecewise Function, you can identify that it has three pieces. See the picture below:

By definition, the open circles indicates that that endpoint is not included in the interval of the function.

By definition, the Domain of a function is the set of all the input values (x-values) for which the function is defined.

In this case, you need to analyze each piece in order to determine its Domain:

1. Notice that piece 1 goes from:

To:

But -2 is not included. Therefore:

2. Notice that piece 2 goes from:

To:

But since its endpoints are not included:

3. Piece 3 goes from:

To:

Since the x-value 6 is not included:

Hence, the answer is:

- For the first piece from left to right:

- For the middle piece:

- For the third piece from left to right:

Answer:

Step-by-step explanation:

x - 12 ≤ 3 - 2x

3x ≤ 15

x ≤ 5

To graph this, just draw a VERTICAL line passing through x = 5, then shade the area to the LEFT

Answer: m∠5 = m∠7 = 67°

because a//b => m∠4 + m∠5 = 180°

⇔ 113° + m∠5 = 180°

⇔ m∠5 = 180 - 113 = 67°

because ∠5 and ∠7 are  2 opposing angles

=>  m∠5 = m∠7 = 67°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angles 4 and 5 are same side interior angles and their measures add up to 180° as per definition:

Angles 5 and 7 are vertical angles and they have equal measure as per definition of vertical angles:

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Answer:

5/28

Step-by-step explanation:

First of all, probability is defined as the number of ways a certain event can happen divided by the total ways of an event happening. In this scenario, we are asked to find the number of non-defective computers divided by the total ways that a sample of two can be chosen.

The number of ways to choose 2 computers from 8 can be written as \(8\choose2\), which is equal to \(\frac{8\cdot7}{2}\), which is 28. Now, there are 3 defective computers, for a total of 5 non-defective computers, so the probability is 5/28.

Step-by-step explanation:

i think this is the answer if it's wrong I'm sorry

Answer:

7606.62

Step-by-step explanation:

Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.

\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)

Now just equate this to a time 0 payment at the same rate

\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)

As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.

The probability of the washers arranged by size is 2.755731 ( six decimal places).

Probability

We can arrange them in 10! = 3628800 different ways.

There is only one way to arrange them in size order.

The washers arranged by size have a probability of

1/3628800 = 2.75573192          

                   ≈ 2.755731 (six decimal places)          

Therefore, The probability of the washers arranged by size is 2.755731

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Answer:

x=(-45)

Step-by-step explanation:

2+8+9+x+7+12=7

38+x=7

x=(-45)

38+(-45)=7