Which term could be put in the blank to create a fully simplified polynomial written in standard form?

8x3y2−_____+3xy2−4y3

x2y2
x3y3
7xy2
7x0y3

The range of x are;

1. x < -30

2. x > 8

3. x > 15

4. x < -2

A relationship between two expressions or values that are not equal to each other is called 'inequality.

1. -130 > 50x +20

-130-20> 50x

-150 > 50x

-150/50 > x

-30 > x

x < -30

2. -8(x-3) < -40

-8x +24< -40

collect like terms

-8x < -64

x > -64/-8

x > 8

3. 2x - 22 > 8

collect like terms

2x > 30

divide both sides by 2

x > 30/2

x > 15

4. -35 < -5(x+9)

-35 < -5x -45

collect like terms

10 < -5x

-2 > x

x < -2

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Answer:

so x=5 and y= 8

Step-by-step explanation:

\(y = 3x - 7 \: \\ 20 = - 4x +5y \\ 20 = - 4x + 5(3x - 7) \\ 20 = - 4x + 15x - 35 \\ 20 + 35 = 11x \\ 55 = 11x \\ x = 5 \\ now \: you \: put \: x = 5 \: into \: the first \: equation \: \\ 5 \\ y = 3(5) - 7 \\ y = 8\)

Answer:

1.4

Step-by-step explanation:

= 7/5 × 2/2

= 14/10

=1.4

Answer:

b*h or l*w

1*1=2in

Step-by-step explanation:

The correct option is c. Analysis of variance.

ANOVA stands for Analysis of Variance, which is a statistical method used to test the equality of three or more population means by analyzing the variance between samples.

In an ANOVA, the variance is partitioned into different components, including the variance between groups and the variance within groups. If the variance between groups is larger than the variance within groups, it suggests that there are significant differences between the means of the groups being compared.

ANOVA is commonly used in experimental research to test the effects of one or more independent variables on a dependent variable. It allows researchers to determine whether the means of different groups are significantly different from one another, and if so, which groups are significantly different.

Overall, ANOVA is a powerful statistical tool that enables researchers to test hypotheses and draw conclusions about the differences between multiple groups or treatments.

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Complete question :

The play director 190 hours preparing for a plane that time include attending 35 rehearsals that took varying amount of time in spending 93 3/4 hours on the other responsibilities related to the play. What question does the equation 3/5 x + 93 3/4 equal 190 help answer? A. How much longer did the director spend on rehearsals and on other responsibilities? B. What was the average length of each rehearsal? C. How long was each rehearsal?

Answer: C. How long was each rehearsal?

Step-by-step explanation:

Total time spent preparing for play = 790 hours

Of the 190 hours :

Number of rehearsals = 35

Others = 93 3/4 hours

What question does the equation 35 x + 93 3/4 equal 190

35x + 93 3/4 = 190

(Number of rehearsals) * x + others = total time

x = time spent on each rehearsal

35x = 190 - 93 3/4

35x = 96.25

x = 96.25 / 35

x = 2.75 hours

Each rehearsal took 2.75 hours

The original cost of the tablet is $70.89 in the given algebraic equation.

A mathematical claim containing two equated algebraic expressions is known as an algebraic equation. When P and Q are polynomials, an algebraic equation has the general form P = 0 or P = Q. The term "multivariate equation" refers to an algebraic equation that has more than one variable.

Univariate equations are algebraic equations that only have one variable. Equations in algebra are balanced by definition. Due to this, the right and left sides of the equation will be equal.

Let the original cost be  x

then

15/100 = 24.99.x

x =  166.6

237.49 - 166.6

= $70.89

Thus, the original cost of the tablet is $70.89 in the given algebraic equations.

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Full question?

Lucas bought a tablet that was on sale at a 15% discount on your supra case for $24.99 which is been a total of $237.49. Write an equation to find the original cost of the tablet?

When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.

A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.

A weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.

Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

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Answer:

\(\boxed{\tt \int (5x - 2)log(x) dx = log(x) *( \frac{5}{2}x^2 - 2x)- \frac{5}{4}x^2 + 2x + C}\)

Step-by-step explanation:

The integral of  \(\tt \int (5x-2)log(x) dx\)   can be evaluated using integration by parts. The formula for integration by parts is:

\(\tt \int u \:dv = uv - \int v \:du\)

where u and v are functions of x and du and dv are their respective differentials.

Let's choose

By using ILATE rule

where

I= Inverse

L=logarithm

A=Algebraic

T=Trigonometry

E= Exponential

Over here:

\(\tt u = log(x)\)  (This will be the first function to differentiate.)

\(\tt dv = (5x - 2) dx\)  (This will be the second function to integrate.)

Now, we need to find du and v:

For du.

\(\tt d\:u = d\: log(x)\:dx\\Differentiate \:\:u \:with\: respect\: to\: x\\= \frac{1}{x}\:dx\)

For v.

\(\tt v = \int (5x - 2) \: dx\\ Differentiate \:u \:with \:respect \:to\: x\\\int 5x \:dx \:-\:\int 2\:dx\\=5*\frac{x^{1+1}}{1+1} - 2*\frac{x^{0+1}}{0+1} +c\\=\frac{5}{2}x^2-2x+c\)  

Using the integration by parts formula, we have:

Simplifying further:

\(\tt \int (5x - 2)log(x) dx = log(x) * (\frac{5}{2}x^2 - 2x)- \int \frac{5}{2}x - 2\: dx\\ = log(x) *( \frac{5}{2}x^2 - 2x)- \frac{5}{4}x^2 + 2x + C,\)

where C is the constant of integration.

Therefore:

\(\boxed{\tt \int (5x - 2)log(x) dx = log(x) *( \frac{5}{2}x^2 - 2x)- \frac{5}{4}x^2 + 2x + C}\)

Answer:

\(\left(\dfrac{5}{2}x^2-2x\right)\log x-\dfrac{5}{4}x^2+2x+C\)

Step-by-step explanation:

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

\(\boxed{\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x)}\)

To evaluate the given indefinite integral, use integration by parts.

\(\boxed{\begin{minipage}{4.6 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}\)

Given indefinite integral:

\(\displaystyle \int (5x-2)\log x\; \text{d}x\)

Begin by working out which part should be u and which part should be dv/dx. As it is easier to differentiate log(x), and integrate (5x - 2), then:

\(\text{Let\;$u=\log x$}\)

\(\text{Let\;$\dfrac{\text{d}v}{\text{d}x}=5x-2$}\)

Differentiate u with respect to x:

\(u=\log x\implies \dfrac{\text{d}u}{\text{d}x}=\dfrac{1}{x}\)

Integrate dv/dx to find v:

\(\begin{aligned}v= \displaystyle \int (5x-2)\; \text{d}x&=5\int x\; \text{d}x-\int 2\;\text{d}x\\\\&=5 \cdot \dfrac{x^2}{2}-2x\;(+\;C)\\\\&=\dfrac{5}{2}x^2-2x\;(+\;C)\end{aligned}\)

Substitute the values into the integration by parts formula to evaluate the indefinite integral:

\(\begin{aligned}\displaystyle\int u\dfrac{\text{d}v}{\text{d}x}\:\text{d}x&=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x\\\\\implies\int(5x-2)\log x\;\text{d}x&=\log x\cdot\left(\dfrac{5}{2}x^2-2x\right)-\int\left[\left(\dfrac{5}{2}x^2-2x\right)\: \dfrac{1}x}\right]\:\text{d}x\\\\&=\left(\dfrac{5}{2}x^2-2x\right)\log x-\int\left(\dfrac{5}{2}x-2\right)\:\text{d}x\\\\&=\left(\dfrac{5}{2}x^2-2x\right)\log x-\left(\frac{5}{4}x^2-2x\right)+C\end{aligned}\)

                                     \(=\left(\dfrac{5}{2}x^2-2x\right)\log x-\dfrac{5}{4}x^2+2x+C\)

Therefore, the evaluation of the given indefinite integral is:

\(\boxed{\displaystyle \int (5x-2)\log x\; \text{d}x=\left(\dfrac{5}{2}x^2-2x\right)\log x-\dfrac{5}{4}x^2+2x+C}\)

\(\hrulefill\)

Differentiation and Integration rules:

\(\boxed{\begin{minipage}{5.1 cm}\underline{Differentiating $\log x$}\\\\If $y=\log x$, then $\dfrac{\text{d}y}{\text{d}x}=\dfrac{1}{x}$\\\end{minipage}}\)

\(\boxed{\begin{minipage}{5.1 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}\;(+\;\text{C})$\end{minipage}}\)

\(\boxed{\begin{minipage}{5.1 cm}\underline{Integrating a constant}\\\\$\displaystyle \int n\:\text{d}x=nx\;(+\;\text{C})$\\\\(where $n$ is any constant value) \end{minipage}}\)

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Answer:

30

Step-by-step explanation:

3 + 8  + 7 + 2 + 6 + 4 = 30

good luck, i hope this helps :)

Answer:

The dogs are 21. 8 m from each other in 5 seconds

Step-by-step explanation:

Given;

speed of Edison, v = 10 m/s

speed of Einstein, u = 8 m/s

angle between the two dogs, θ = 25°

let the distance ran by Edison in 5 seconds = x = (10 m/s x 5 s) = 50 m

let the distance ran by Einstein in 5 seconds = y = (8 m/s x 5 s) = 40 m

let the distance between the two dogs after 5 seconds = z

x , y and z forms a triangle with an angle between x and y as θ

The third side, z, can be calculated using cosine rule

z² = x² + y² - 2xyCosθ

z² = 50² + 40² - (2 x 50 x 40)Cos25

z² = 4100 - 4000Cos25

z² = 474.7689

z = √474.7689

z = 21.789 m ≅ 21. 8 m

Therefore, the dogs are 21. 8 m from each other in 5 seconds

Answer:

(-5,-15)

Step-by-step explanation:

Answer:

(-5,-15)

Step-by-step explanation:

3x=2x-5

-2x  -2x

x=-5

y=3(-5)

y=-15

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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Answer:

it would take around 10 hours to grade all 30 papers

Step-by-step explanation:

if for one student it takes 20 minutes that means you would have to do 20 minutes 30 times which is 600 minutes. to convert that to hours you divide total minutes (600) by 60 which gives you 10 hours. no need for thanks

Answer:

(a) 5

Step-by-step explanation:

5 is geater than 4

4 is greater than -5

Answer:

7>x

Step-by-step explanation:

First get X on one side by adding 37 to both sides

-2 > 5x - 37

+37       +37

35> 5x

now dive both sides by GCF (5)

35/5> 5x/5

7>x

Hope this helps! Plz award Brainliest : )

Answer:

\(x<7\)

Step-by-step explanation:

\(-2>5x-37\)

Switch sides:

\(5x-37<-2\)

Add 37 to both sides:

\(5x-37+37<-2+37\)

\(5x<35\)

Divide 5 to both sides:

\(\frac{5x}{5}<\frac{35}{5}\)

\(x<7\)

The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.

From the question above, Mean μ = 10,000

Standard Deviation σ = 1,000

The formula for z-score is :

z = (x-μ) / σ

Where, x = observation

z = z-score

Mean μ = 10,000

Standard Deviation σ = 1,000

From the above formula, let's calculate z-score for x = 11,500

z = (x-μ) / σ

z = (11,500 - 10,000) / 1000

z = 1.5

Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.

P(z ≥ 1.5) = 0.0668

To find the percentage, we need to multiply the above value by 100.

P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%

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Answer:

Slope = (1/3)

Step-by-step explanation:

Point 1: (0, 2); Point 2: (3, 3)

             (x₁, y₁)              (x₂, y₂)

        y₂ - y₁        3 - 2           1

m = ----------- = ------------ = ---------

         x₂ - x₁        3 - 0          3

y - y₁ = m(x - x₁)

y - 2 = (1/3)(x - 0)

y - 2 = (1/3)x - 0

  +2              +2

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

y = (1/3)x + 2

I hope this helps!

Solution : Straight line question : y= 2x-3

Straight Line:

A straight line is just a line with no curves. So, a line that extends to both sides till infinity and has no curves is called a straight line.

Slope:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Use the slope and one of the points to solve for the y-intercept (b).

One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line

1)Point (3,3) (4,5)

slope: (5-3)/(4-3) = 2/1 = 2

Y= mx+c

y -3 = 2(x-3)

y-3= 2x-6

y= 2x-6+3

y= 2x-3

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The marginal benefit from studying one extra hour is 5 percent.

Now,

Given:

To find: Marginal benefit on studying one hour extra.

Finding:

Now, marks scored on studying 4 hours is 80 percent and 5 hours is 85 percent.

Thus, the extra percentage that is scored is because of the 1 hour of extra studying.

The extra percentage = marginal benefit of studying extra = 85 - 80 = 5 percent.

Hence, the marginal benefit from studying one extra hour is 5 percent.

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The sample space for the single digit even number = {2, 4, 6, 8}

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space.

Events are the subset of possible experiment results. Depending on the experiment, a sample space could contain a variety of results.

Given that,

Layla thinks about a positive single digit even number.

There are four single digit even numbers 2, 4, 6 and 8.

The sample space for the single digit even number = {2, 4, 6, 8}

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Answer:7

Step-by-step explanation:

100/20 = 5

35/5 = 7

Answer:  56 degrees approximately

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

Work Shown:

tan(angle) = opposite/adjacent

tan(x) = 15/10

tan(x) = 1.5

x = arctan(1.5)

x = 56.3099 approximately

x = 56 degrees

Note: arctan is the same as inverse tangent

Answer:

934−2s=214 and 2s=934−214

Step-by-step explanation:

To represent this situation, we need all three sides to add up to 934, which is the perimeter of the triangle. So we have:

\(214+2s=934\)

Where s are the two remaining sides.

The first and third choice resembles this exact equation, but rearranged:

First equation:

\(934-2s=214\\934=214+2s\)

Third equation:

\(2s=934-214\\214+2s=934\)

The other two choices either have different operations or different values.

Answer:

Step-by-step explanation:

The dilation from A to B is a reduction

\(b_{1}\) = \(\frac{a_{1} }{3}\)

\(b_{2}\) = \(\frac{a_{2} }{3}\)

Answer:

the odds against Zahra climbing to the top are,

B. 4:1

Step-by-step explanation:

Since she has climbed 7 times in 28 attempts,

the probability of a successful climb is,

P = 7/28

P = 1/4

So, the odds against Zahra climbing to the top are 4:1

Step-by-step explanation:

HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!

Answer:

248 children

296 adults

Step-by-step explanation:

Define the variables:

Given information:

Create a system of equations with the given information and defined variables:

\(\begin{cases}\;\;\;\;\:\:\:x+y=544\\1.5x+2y=964\end{cases}\)

Rearrange the first equation to isolate x:

\(\implies x=544-y\)

Substitute the found expression for x into the second equation and solve for y:

\(\implies 1.5(544-y)+2y=964\)

\(\implies 816-1.5y+2y=964\)

\(\implies 816+0.5y=964\)

\(\implies 0.5y=148\)

\(\implies y=296\)

Therefore, 296 adults swam at the public pool.

Substitute the found value of y into the equation for x and solve for x:

\(\implies x=544-296\)

\(\implies y=248\)

Therefore, 248 children swam at the public pool.

The constant term is 8, which means that the y-intercept of the graph of g is (0, 8).

In mathematics, a function is a rule that assigns a unique output value for every input value in a set. It is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output. Functions are widely used in various fields of mathematics, science, engineering, and technology to model and analyze real-world situations, to describe how quantities depend on one another, and to solve problems.

Here,

If we set k=4, the function g(x) becomes:

g(x) = k(x+2) = 4(x+2)

The value of k affects the slope of the graph of g compared to the graph of f. In this case, since k=4, the slope of the graph of g is 4 times the slope of the graph of f.

The slope of the graph of f is 1, since the coefficient of x is 1. Therefore, the slope of the graph of g is:

4 * 1 = 4

This means that the graph of g is steeper than the graph of f.

The y-intercept of the graph of f is 2, since the constant term is 2. Setting k=4 does not affect the y-intercept of the graph of g, since the constant term remains the same:

g(x) = 4(x+2) = 4x + 8

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