What is the next term in the sequence?

2, –4, 8, –16, . . .


–24


–32


32


24

Use the power rule (which says to multiply the exponents)

1) n⁴ˣ⁸ = n³²

2) x³ˣ⁻⁵ = x⁻¹⁵ = [tex]\frac{1}{x^{15} }[/tex]

3) c³ˣ⁵ * d³ˣ⁰ = c¹⁵ * d⁰ = c¹⁵ * 1 = c¹⁵

An overdraft fee is a fee for withdrawing more money from an account than is actually there.

Answer:

Hence, an overdraft is a fee for--

C. Withdrawing more money from an account than is actually there

Step-by-step explanation:

An overdraft occurs when money is withdrawn form the account such that the amount exceeds the actual bank balance i.e. the withdrawn amount leads to the bank amount or the available balance below zero.

The account in such situation is said to be " Overdrawn "

Hence, option: C is the correct answer.

I would say 67°F would be the right answer.

The Algebra expression a/b + c²d with the given values (a=6, b=3, c=4, d=5) evaluates to 82. This involves steps of squaring, multiplication, division, and finally addition.

In order to evaluate the expression a/b + c²d, we substitute the given values into the expression. For this problem, the values given are a=6, b=3, c=4, and d=5. Thus, the expression becomes: 6/3 + (4)²(5).

First, we perform the operations in the parenthesis, which is 4 squared, or 4*4, which gives us 16.

Next, we multiply this result by d, which is 5. Therefore, 16*5 gives us 80.

Finally, we perform the division operation: a/b, that is 6 divided by 3, which equals 2.

Adding these two results together, 2 + 80, we get our final answer, which is 82.

For more such questions on Algebra , click on:

https://brainly.com/question/32436021

#SPJ2

Answer:

√357

Step-by-step explanation:

multiply all three numbers together and since 357 cannot be simplified it stays as a radical

The radical form of √3 x √7 x √17 is √357.

When we have a number raised to a power that is less than one but greater than zero we call them surds and when we have numbers that have been raised by powers that are greater than one we call them indices.

Radical multiplications are the same as multiplying integers only we can not add radicals of different values under the square root.

∴ √3 × √7 × √17.

= √51 × √7.

= √357.

We can't simplify this more because the multiplication was of all prime numbers.

learn more about radicals here :

https://brainly.com/question/151386

#SPJ2

Answer:

5/-1.6<-3 3/10 - (- 7/20)< 5 6/15 + (-2 4/5) < -4.5 X -2.3

Step-by-step explanation:

Answer:

[tex]\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15} +(-2\frac{4}{5} )<-4.5*-2.3[/tex]

Step-by-step explanation:

In this case we have to calculate the value of each one of the terms and the organize it from the lowest to the highest, this is:

[tex]-3\frac{3}{10}-(-\frac{7}{20})=-2.59[/tex]

[tex]\frac{5}{-1.6} =-3.125[/tex]

[tex]5\frac{6}{15} +(-2\frac{4}{5} )=2.6[/tex]

[tex]-4.5*-2.3=10.35[/tex]

Now we can order the expressions, this is:

[tex]\frac{5}{-1.6}<-3\frac{3}{10}-(-\frac{7}{20})<5\frac{6}{15} +(-2\frac{4}{5} )<-4.5*-2.3[/tex]

Answer:

Yes this is the correct answer.

Step-by-step explanation:

The line of best fit is the straight line that best represents the trend or relationship between the data points in a scatter plot. It is determined by minimizing the sum of the squared differences between the observed data points and the predicted values on the line. The least-squares line is valid for predicting the cost of a 300 oz. size of laundry detergent if the relationship between the variables is linear and the assumptions for linear regression are met.

The question is asking about the line of best fit. The line of best fit is the straight line that best represents the trend or relationship between the data points in a scatter plot. It is determined by minimizing the sum of the squared differences between the observed data points and the predicted values on the line.

To determine if a line is the best way to fit the data, we can use various methods such as calculating the correlation coefficient or examining the scatter plot. For outliers, we can identify them if they are significantly different from the other data points and affect the overall trend of the data. The least-squares line, which is the line of best fit, is valid for predicting the cost of a 300 oz. size of laundry detergent if the relationship between the variables is linear and the assumptions for linear regression are met. The slope of the least-squares line represents the rate of change in the dependent variable (y) for a one-unit increase in the independent variable (x).

Answer:

wheres the problem

Step-by-step explanation:

Answer:

Option A is the correct answer.

Explanation:

 The given pyramid has 3 lateral triangular side as shown below.

 Base of triangle = 12 unit

 We need to find perpendicular.

  By Pythagoras theorem we have

            Perpendicular² = 10²-6²

           Perpendicular = 8 unit

So area of 1 lateral triangle = 1/2 x Base x Perpendicular.

                                             = 1/2 x 12 x 8 = 48 unit²

Area of lateral side = 3 x 48 = 144 unit²    

Option A is the correct answer.                

Answer:

A

Step-by-step explanation:

I am attaching an image with the two solutions represented by the blue areas highlighted in your original graphs. Let me know if you have questions.

Answer:

Number 1: Evaluate (A)

Number 2: Operator (B)

Final answer:

In mathematics vocabulary, an algebraic expression consists of numbers, operations, and grouping symbols. The symbol for a math operation like plus, minus, times, or equals is called an operator. (Option B)

Explanation:

To answer the student's math vocabulary questions:

Therefore, matching the vocab with the definition would result in:

These terms are fundamental in understanding algebra and performing equation manipulation.

Answer: 3756

Step-by-step explanation:

33 x 100 = 3300

44 x 10   =    440

16 x 1      =      16

Total:         3756

The number represented by 33 hundreds plus 44 tens plus 16 ones is 3756, which is found by adding 3300 (33 times 100), 440 (44 times 10), and 16 (16 times 1) together.

The question involves adding numbers that compose a whole number through place values. In this case, we are looking at hundreds, tens, and ones. To solve this, we add up each group's contribution to the total. We have:

Adding these together:

3300 + 440 + 16 = 3756

So, 33 hundreds plus 44 tens plus 16 ones represents the number 3756.

[tex]\dfrac{3}{10}\div \dfrac{2}{8}=\dfrac{3}{10}\div \dfrac{1}{4}=\dfrac{3}{10}\cdot4=\dfrac{3}{5}\cdot2=\dfrac{6}{5}[/tex]

Answer: Quotient=20 and remainder=15.

Step-by-step explanation:

Here dividend=495 and divisor=24

Step 1) Write easy multiples of 24 such as

24×2=48

24×5=120

24×10=240 and so on...

Step 2) Find the easier multiple of 24 to subtract from 495 .

Let 240 is the easiest one then 495-240=255 and note 10 as first partial quotient.

Step 3)  Again subtracting 240 (as easier one) from 255 and note 10 as second partial quotient,we get 255-240=15 which is our remainder (as it is less than the divisor).

Step 4) add both the partial quotients=10+10=20→ Quotient

The quotient of 495 divided by 24 using partial quotients is 20, and the remainder is 15. This method simplifies the division by subtracting easily computable multiples of 24 from 495.

Nyree wants to divide 495 by 24 using partial quotients, a method where we break down a division problem into simpler pieces that we can solve in our head. For instance, knowing that 24 is close to 25, which is a quarter of 100, can help us simplify the problem. Let's start by subtracting multiples of 24 from 495 until we can subtract no more without going into negatives.

The quotient of 495 divided by 24 is 20, and the remainder is 15. Partial quotients make it easier to handle large numbers by breaking them into smaller, more manageable pieces.

- [tex]\frac{3y}{x^{2} }[/tex]

separate the factors as products

[tex]\frac{-24}{8}[/tex] × [tex]\frac{x^{4} }{x^{6} }[/tex] × [tex]\frac{y^{3} }{y^{2} }[/tex]

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] if m > n

and [tex]\frac{1}{a^{(n-m)} }[/tex] if n > m

= - 3 × [tex]\frac{1}{x^{(6-4)} }[/tex] × [tex]y^{(3-2)}[/tex]

= - 3 ×  [tex]\frac{1}{x^{2} }[/tex] × y = - [tex]\frac{3y}{x^{2} }[/tex]

Cost of 2 pounds of almonds = $ 21.98

So, cost of 1 pound will be = [tex]\frac{21.98}{2} = 10.99[/tex]

Cost of 3 pounds of dried apricots = $26.25

So, cost of 1 pound will be = [tex]\frac{26.25}{3} = 8.75[/tex]

So, comparing the two costs, the cost of 1 pound of dried apricot is less than 1 pound of almonds by $2.24

Answer:

Temperature at 4 am is 66 degrees.

Step-by-step explanation:

First we have to count how many half an hour's are there from 6 pm to 4 am.

Number of hours from 6 pm to 4 am.  =  [tex]10[/tex] hours

Number of half an hours from 6 pm to 4 am.  = [tex]10*2[/tex]

                                                                           =[tex]20[/tex]

It is given that temperature drops [tex]1\frac{1}{4}[/tex] degrees every half an hour.

Therefore,

Temperature drop in 20 half an hours = [tex]1\frac{1}{4}*20[/tex] degrees

                                                                =[tex]\frac{5}{4} *20[/tex] degrees

                                                                =[tex]25[/tex] degrees

Temperature drops 20 degrees from initial 86 degrees.

Therefore, temperature at 4 am = 86 degrees - 20 degrees

                                                      = 66 degrees

Remember that [tex] 40 = 2\cdot 2\cdot 10 [/tex].

So, dividing by 40 means dividing by 10, then by 2, then by 2 again.

So, we can go like this: let's divide by 10 first

[tex] 13 \div 10 = 1.3 [/tex]

Then, we divide by 2:

[tex] 1.3 \div 2 = 0.65 [/tex]

And by 2 again:

[tex] 0.65 \div 2 = 0.325 [/tex]

So, the decimal expansion ends after 3 digits.

B) (4,24)

This is because you turn one of the equations you make, let's use x+4y=100, and turn it into y=mx+b form. This turns into y=(-x/4) +25 and if you plug in the number 4 as your x you get 24.

Answer:

C

Step-by-step explanation:

Answer:

C yessir also here for the points

Step-by-step explanation:

Answer:

The question is actually,

Step-by-step explanation:

Rachel saved money to buy art supplies. She used 1/3 of her savings to buy brushes. She used 3/5 of her savings to buy paint. What fraction of her savings does she have remaining?

Answer:

16 dollars.

Step-by-step explanation:

Given that selling price of a back pack after reduced by 30% is 11.20 dollars.

We have to find the original price of the back pack.

Let original price = 100

Reduced %          =  30

Selling price         = 70

70 dollars is equivalent to selling price of 11.20 $

100 dollars is equivalent to selling price of 100(11.2)/70 = 16 $

i.e. original price of back pack is 16 dollars.

No, it is not a translation. The arrow starts pointing to the right and then points upward. A translation would have the arrow always pointing right the entire time, only that its position would move.

====================================================

Problem 2

We can shift the K up 6 units to get what you see in the attached image below