HELP ME WITH THIS PLEASEEEE

Answer:

31

Step-by-step explanation:

800/25=32

992/32=31

Answer:

£31

Step-by-step explanation:

let me know if you want a through explanation

The value of x after solution of the equation 8x = -16 is -2 and it is not possible to solve this equation using multiplication.

According to the question,

We have the following equation:

8x = -16

Now, this equation can not be solved using multiplication because 8 is already in multiplication with x on the left hand side. If 8 would have been in division then it could be solved using multiplication.

So, dividing by 8 on both the sides:

x = -16/8

x = -2

Hence, the value of x after solution of the equation 8x = -16 is -2 and it is not possible to solve this equation using multiplication.

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

Place the compass on point a and draw arc CB

Step-by-step explanation:

Answer:

(35-2- is the correct answer you can believe me

The expression to represent the area of the flag as a sum of areas of each section is 2*x + 2(\(1\frac{1}{2}\) ) + 3*(x + \(1\frac{1}{2}\) )  .

In the question ,

a flag is given that have three colors ,

we have to find an expression for the area of the flag .

For the Green Part ;

the length is 2 units ,

and the width is x units .

So ,the area of the green part is = 2*x .

For the Orange Part ;

the length is 2 units ,

and the width of the orange part is = \(1\frac{1}{2}\) units ,

So , the area of the orange part is = 2(\(1\frac{1}{2}\) ) units .

For the Purple part ;

the length is = 3 units ,

and the width is = (x + \(1\frac{1}{2}\) ) units .

So , the area of the purple part is = 3*(x + \(1\frac{1}{2}\) ) units .

So the area of the flag is = area of ( Green part + Orange Part + Purple Part) .

Substituting the values ,

we get ,

Area = 2*x + 2(\(1\frac{1}{2}\) ) + 3*(x + \(1\frac{1}{2}\) ) .

Therefore , the expression for the area is 2*x + 2(\(1\frac{1}{2}\) ) + 3*(x + \(1\frac{1}{2}\) )  .

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Answer:

An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.

-- Credit -- libretexts

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.

Step-by-step explanation:

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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The difference of the algebraic expressions is 3x² - 11x + 4

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

The difference of two algebraic expressions means the subtraction of the expressions. That is:

(-4x+3) - (7x - 3x² - 1) = -4x+3 -7x+3x²+1

                                 =  3x² - 11x + 4

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The value of x for the similar shapes with corresponding sides 4, 10 and 12, and the unknown side x and 5 is 6.

We may utilise the requirement that the ratio of corresponding side lengths of similar shapes must be the same to determine the value of x for the similar shapes with corresponding sides 4, 10, and 12, and the unknown side x and 5.

We might start by noting the proportion between the two shapes' longest sides:

12 / x = 10 / 5

Next, let's condense the right side:

10 / 5 = 2

When we add this to the initial equation, we obtain:

12 / x = 2

When we multiply both sides by x, we obtain:

12 = 2x

Divide both sides by 2, and the result is x = 6.

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Answer:

‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎ ‏‏‎

Answer: Answer C

Step-by-step explanation:

Because it is a reflection of the Y-axis, the X-coordinates would remain the same but the Y-coordinates would change.

The explicit rule for the sequence -4/3, 1, -4/5, -2/3, -4/7 is -4(2 + n)

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

-4/3, 1, -4/5, -2/3, -4/7

In the above sequence, we can see that 1 is added to the denomiator of the previous term to get the new term

Take for instance

2nd = -4/(3 + 1) = -1

3rd = -4/(3 + 2) = -4/5

4th = -4/(3 + 3) = -4/6 = -2/3

4th = -4/(3 + 7) = -4/7

Hence, the explicit rule is -4(2 + n)

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Answer:

5 km

Step-by-step explanation:

the scans means that any distance on the map is 50000 times larger in real life.

so, 10 cm on the map is

10×50000 = 500000 cm in real life.

now, we know that 100cm = 1 m

so, it is 500000/100 = 5000 m in real life.

and there are 1000 m in 1 km.

so, it is 5000/1000 = 5 km in real life

The equation of the graph is f(x) = -1|x + 4| + 3

The graph represents an absolute value function

The equation of an absolute value function is represented as:

y = a|x - h| + k

Where:

Vertex = (h,k)

From the graph, we have:

(h,k) = (-4,3)

So,we have:

y = a|x - (-4)| + 3

Expand

y = a|x + 4| + 3

The graph is opens down.

This means that a < 0

Assume a = -1, the equation becomes

y = -1|x + 4| + 3

Express as a function

f(x) = -1|x + 4| + 3

Hence, the equation of the graph is f(x) = -1|x + 4| + 3

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The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.

To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.

Let's set up the long division:

    \(5x^3 + 2x^2 - 4x + 4\)

_______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:

              \(5x^3(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- (\(5x^3 + 5x^2)\)

This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:

              \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

-\((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

We continue this process until we reach the constant term, resulting in the remainder of the division.

At this point, we have:

               \(5x^3(x + 1) + 2x^2(x + 1)\)

     _______________________

x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)

- \((5x^3 + 5x^2)\)

_______________________

\(2x^2 - 3x + c\)

-\((2x^2 + 2x)\)

_______________________

- 5x + c

- (-5x - 5)

_______________________

5 + c

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Answer:

66.69

Step-by-step explanation:

You start off with -3.9 x -5.7 which gives you a positive, and that positive is 22.23, then you multiply that number by 3, and you get 66.69.

Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

For Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.

A future value refers to a value on a future date based on an assumed growth rate of interest over some period.

The future value can be determined using the FV formula or table.

We can also compute the future value using an online finance calculator as follows:

N (# of periods) = 10 years

I/Y (Interest per year) = 5%

PV (Present Value) = $0

FV (Future Value) = $430,000

Results:

PMT = $34,186.97

Sum of all periodic payments = $341,869.70

Total Interest= $88,130.30

Thus, for Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.

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Answer:

mean:-3

median:5

mode: all values appeared once  

range:169

Step-by-step explanation:

Answer:

0<-4

Step-by-step explanation:

0 is greater than -4 (-4 + 4 = 0)

Answer:

1. 0 is less than -4 is incorrect, so you should pick that one.

Step-by-step explanation:

A whole number is always greater than a negative number, so in this case 0 is actually more than -4.

Hope this helps!

Answer:

3.38

Step-by-step explanation:

first do the multiplication

2×0.81

= 1.62

then the subtraction

5- 1.62= 3.38

Answer:

24 quarts

Step-by-step explanation:

1 qrt = 75/2 = 37.5

900 / 37.5 = 24

Answer:

B

Step-by-step explanation:

-3/5 isn't in the reciprocal column so it stays the same

-4 5/6 improper faction which is 29/6 flip it (since reciprocal) which is 6/29 division sign to Multiplication and done

The value of x will be -7. The expression is solved using the identity.

Exponents can also be written as logarithms. The other number is equal to a logarithm with a number base. It's the exact inverse of the exponent function.

Given expression;

\(\rm log_2(\frac{1}{128}) = x\)

The expression is solved using the identity as;

\(\rm log_e1 = x\\\ e^x=1\)

Apply the identity;

\(\rm log_2(\frac{1}{128}) = x \\\\ 2^x = \frac{1}{128}\\\\ 2^x = \frac{1}{2^7} \\\\ 2^x = 2^{-7} \\\\ x = -7\)

Hence the value of x will bed -7.

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Answer:

4.5 meters

Step-by-step explanation:

If the pins were placed 30 cm apart, and there were a total of 15 pins, then the length of the string is 30 cm * 15 pins = <<30*15=450>>450 cm.

To convert this length to meters, we divide the number of centimeters by 100: 450 cm / 100 = 4.5 meters.

Therefore, the length of the string is 4.5 meters.

Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3

The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.

In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;

Taking two points from the table;

m = y₂ - y₁ / x₂ - x₁

m = 0 - (-3) / -9 - (-11)

m = 3 / 20

Using the slope and one point on the table;

y = mx + x

-3 = 3/20(-11) + c

-3 = -1.65 + c

c = -3 + 1.65

c = -1.35

Putting the slope and y - intercept together;

y = 3/20x - 1.35

y = 3/20x - 27/20

f(x) = 3/20x - 27/20

Taking the inverse of the function;

f⁻¹(x) = (20x + 27)/3

To find the value of f⁻¹(4), we just need to substituting the value of x in the function;

f⁻¹(4) = (20(4) + 27)/3

f⁻¹(4) = 107/3

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The solved answer for the given fraction expression in will be 2.6833.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

Given X = 1/3

Y = 3/5

Z = 2 1/4 = 9/4

The value of X*Y*Z = (1/3*3/5*9/4)

= (20+36+105)/60

=161/60

=2.6833

Hence the solved answer for the given expression will be 2.6833.

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The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.

Line Plot:

A line plot displays data points on a number line, representing the frequency or count of each value.

In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.

For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.

Histogram:

A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.

The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.

The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.

The height of each bar in the histogram will represent the number of students falling into each interval.

Box Plot:

A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.

The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.

The box will represent the interquartile range (IQR), showing the middle 50% of the data.

The line within the box will represent the median value.

The whiskers will indicate the minimum and maximum values, excluding outliers.

By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.

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Note that the table of budget is attached accordingly, and steps 1-4 have been completed. See the table.

4) Since the emergency fund for that month was $200, it means that they are in the short for $105. They can only affod it if they take from their savings.

5) they had a balance of $800 for the month. This is miscellaneous funds. They can make use of this for the trip to NASA. This way, they won't have to touch the savings or entertainment.

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Full Question:
See attached image.

Reflect

4. Analyze Relationships One month, the family must make an

emergency car repair for $305. Are they able to pay for it out of the

fixed emergency fund for that month? If not, how can they afford it?

5. The family wants to make a trip to Houston to visit the NASA Space

Center. What are some ways they can save without using all of the

allotted $160 for entertainment