x³-5x²+2x-10 devided by x²+2​

Answer: The answer is 36. Hope you have a nice day.

There you go

Answer:

t= -0.18

Step-by-step explanation:

Isolate t to get the unknown number:

(-4.5t)(49.5t) = 40

      Multiply (-4.5t)(49.5t):

                     (-4.5t)(49.5t) = -222.75t

      Now, write full equation:

          -222.75t = 40

      Isolate t by dividing -222.75 on both sides:

           \(\frac{-222.75}{-222.75}t=\frac{40}{-222.75}\)

      Cancel out left hand side:

            \(t=\frac{40}{-222.75}\)

      Simplify your answer:

              \(t=-0.17957351\)

      Approximate to 2 decimals:

           \(t=-0.18\)

Step 1: Write out the definition of the function f:

The function f is given by:

Step 2: Calculate the value of the function f at t=-5:

Step 3: Calculate the value of the function f at t=-2:

Step 4: Calculate the value of the function f at t=2:

Step 5: Calculate the value of the function f at t=5:

Step 6: Calculate the value of the function f at t=6:

Hence

The statement is False.

If the equation of the regression line that relates hours per week spent in the lab, x, to GPA, y, is

y = 2.1 + 0.28x

If a student never goes to the lab (x=0), then the best prediction for their GPA would be y = 2.1 + 0.28*0 = 2.1.

A collection of statistical techniques known as regression analysis is used to estimate the associations between a dependent variable and one or more independent variables. It may be used to simulate the long-term link between variables and gauge how strongly the relationships between them are related.

The relationship between dispersed data points in any collection is shown by a regression line. When there is a linear pattern, it displays the relationship between the dependent y variable and independent x variables.

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Answer:

x = -16

Step-by-step explanation:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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Answer:

W = (h-kn-1)/2

Step-by-step explanation:

h - 2W = kn +1

Subtract h from each side

h - 2W-h = kn +1-h

-2W  = kn +1-h

Divide each side by -2

-2W/-2 = (kn+1-h)/-2

W = (h-kn-1)/2

Using the equation for inverse variation, we have:

xy= k (x: temeperature, y: depth)

(5)(700)=k (Replacing)

k=3500 (Multiplying)

Using k and x=400 m, we have:

x(400)= 3500

x=3500/400 (Dividing by 400 on both sides of the equation, we have)

x= 8.75

The temperature is 8.75 °C

80 + 15x ≤ 300 is the inequality represents this situation and the team can buy 14 shirts.

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

Given that a team can spend no more than $300 on shirts.

The team has already spent $80

We need to find the number of shirts for $15 each can still buy.

80 + 15x ≤ 300

$80 that is already spent + $15x ≤ $300 maximum

x = number of shirts

15x ≤ 300-80

$300 - 80 = $220

15x ≤ 220

Divide 220 by 15

220/15=14.6

So 14 shirts she can buy and

Hence, 80 + 15x ≤ 300 is the inequality represents this situation and the team can buy 14 shirts.

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The volume of the percentage of the 6 cm diameter, 12 cm height cylindrical can filled by the soda that reaches a height of 5 cm when the can is on its side is about 89.05%

A percentage is a fraction expressing the number of times a part of a set of item is present in each 100 units of the item.

The diameter of the cylindrical soda can = 6 cm

Height of the can = 12 cm

Height the soda reaches when the can is placed on its side = 5 cm

The volume of the can, V = π × 6²/4 × 12 = 108·π

The volume of the cylindrical soda can, V = 108·π cm³

The Volume occupied by the soda can be found as follows;

Angle representing the segment above the soda = 2 × (arccos(2/3)) ≈ 1.682 ≈ 96.38°

Cross sectional area of the soda = Cross sectional area of the can - Area of the segment above the soda

Area of the segment above the soda = (1/2) × 3² × (1.682 - sin(1.682)) ≈ 3.0968

Cross sectional area of the soda = π × 6²/4 - 3.0968

Volume of the soda = (π × 6²/4 - 3.0968)× 12

Percentage of the volume filled by the soda is therefore;

(((π × 6²/4 - 3.0968)× 12)/(108·π)) × 100 ≈ 89.05%

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Answer:

x = 15

z = 25

Step-by-step explanation:

In \( \odot\: O, \: \angle MLK \) is inscribed in a semicircle.

\( \therefore m\angle MLK =90\degree \)

\( \therefore 6x\degree =90\degree \)

\( \therefore 6x =90\)

\( \therefore x =\frac{90}{6}\)

\( \therefore x =15\)

In \( \odot\: A, \: \angle PRQ\) is inscribed in a semicircle.

\( \therefore m\angle PRQ =90\degree \)

\( \therefore (4z-10)\degree =90\degree \)

\( \therefore 4z-10 =90\)

\( \therefore 4z =100\)

\( \therefore z =\frac{100}{4}\)

\( \therefore z =25\)

Answer:

When x = 3, the solutions to the expressions are–20 and –20

Step-by-step explanation:

–4(3) – 8   Multiply

-12 - 8       Subtract

-20

-2(3 + 1) - 2(3 + 3)     Simplify in the parentheses

-2(4) - 2(6)                 Multiply

-8 - 12                        Subtract

-20

Answer:

its C -20 and -20

Step-by-step explanation:

just did the quiz got 100%

Answer:

b

Step-by-step explanation:

SOLUTION:

Case: Angle of Arc of a circle

An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc. This angle measure can be in radians or degrees.

This is described in the image below:

Given: The angle subtended by the major and minor arcs

Required: To find:

A) the value of x

B) angle ABC

Method:

A) The value of x

The sum of the angles subtended by the minor and major arcs is 360 degrees

B) the angle subtended by arc ABC

Final answer:

A) x= 116 degrees

B) angle ACD = 224 degrees

The surface area of the cube given in the above diagram would be = 1922.46 in².

To calculate the surface area of the cube, the formula that should be used would be given below as follows:

Surface area of cube = 6(a)²

a = side length= 17.9

SA=6(17.9)²

= 6×320.41

= 1,922.46 in²

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Complete question is;

Suppose we are testing the null hypothesis H0: μ = 20 and the alternative Ha: μ ≠ 20, for a normal population with σ = 5. A random sample of 25 observations are drawn from the population, and we find the sample mean of these observations is x¯ = 17.6. The P-value is closest to:

a. 0.0668.

b. 0.0082.

c. 0.0164.

d. 0.1336

Answer:

Option D

Step-by-step explanation:

We are given;

Null hypothesis; H0: μ = 20

Alternative hypothesis; Ha: μ ≠ 20

Population Standard deviation; σ = 5

Sample size; n = 25

Sample mean; x¯ = 17.6

Let's find the z-score from the formula;

z = (x¯ - μ)/(σ/√n)

z = (17.6 - 20)/(5/√5)

z = - 1.073

From online p-value from z-score calculator attached, using z = -1.073; two tailed hypothesis; significance value of 0.05,we have;

The P-Value is 0.283271.

Looking at the given options, the closest to the p-value is option D

We can use the points given to solve for the slope.

Slope formula: y2-y1/x2-x1

7-7/-1-5

0/-6

Since the numerator is 0, the slope is 0.

Best of Luck!

Answer:

1) Let D be the number of dimes and Q be the number of quarters. We can set up the following system of equations to represent the given information:

D + Q = 65

0.1D + 0.25Q = 10.70

The first equation represents the total number of coins Victoria has, and the second equation represents the total value of those coins in dollars. Solving this system of equations will give us the number of dimes and quarters Victoria has.

2) Let M be the number of hours Max spends mowing lawns and T be the number of hours he spends tutoring. We can set up the following system of equations to represent the given information:

M + T = 14

12M + 15T = 192

The first equation represents the total number of hours Max worked over the weekend, and the second equation represents the total amount of money he made during that time. Solving this system of equations will give us the number of hours Max spent on each job.

Answer: 24.2° SouthWest

Step-by-step explanation:

First step: DRAW A PICTURE of the vectors from head to tail (see image)

I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.

Perpendicular (x):

 cos 35° = adjacent/hypotenuse

  cos 35° = x/160

→ x = 160 cos 35°

Angle (θ):

sin θ = opposite/hypotenuse

sin θ = x/320

sin θ = 160 cos 35°/320

    θ = arcsin (160 cos 35°/320)

    θ = 24.2°

Direction is down (south) and left (west)

Answer:

the graph one is G and the second one is C hope this helps

Answer:

Step-by-step explanation:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5

As per the error function, \(\int e^{-5t^2} dt\) is a erf(bx) | = 0

To illustrate this concept, let us consider the integral ∫ e^(-5t²) dt with limits of integration from 0 to x. We can rewrite this integral in terms of the error function by making the substitution u = √5t, which gives us du/dt = √5 and dt = du/√5. Thus, the integral becomes ∫ (e^-u²) (du/√5), with limits of integration from 0 to √(5x²).

Next, we can express the integrand as e^(-u²) = (2/√π) ∫ e^(-v²) dv, which follows from the standard result that ∫ e^(-x²) dx = √π/2. Substituting this expression into our integral, we obtain:

∫ (e^-u²) (du/√5) = (2/√(5π)) ∫ ∫ e^(-v²) du dv,

with limits of integration from 0 to √5x and 0 to u, respectively. Interchanging the order of integration, we get:

∫ (e^-u²) (du/√5) = (2/√(5π)) ∫ ∫ e^(-v²) dv du

= (2/√(5π)) ∫ e^(-v²) (u=0 to u=√5x) dv

= (2/√π) ∫ e^(-5x²) dx.

Therefore, we have shown that the integral ∫ e^(-5t²) dt with limits of integration from 0 to x can be expressed as:

| (2/√π) ∫ e^(-5x²) dx = a erf(bx) |,

where a = √(2/π) and b = 1/√5. Here, erf(bx) denotes the error function evaluated at the argument bx.

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If the car travels for 0 hours, it will travel 0 miles. This means that it will pass through the point (0,0). Use the slope to move 3 units to the right of the origin and 186 units up to find the point (3,186) that can be used to graph the relationship.

The proportional relationship that models this situation is that the distance is obtained as the multiplied of the time and of the velocity, as follows:

d = vt.

The time is the input of the relationship, hence the constant of proportionality of the relation is given by:

The velocity.

The car travels 186 miles in 3 hours, hence the point is of:

(3,186).

As the format of the point is of:

(Input, output) = (Time, Distance).

Then the velocity is of:

v = 186/3 = 62 miles per hour.

The car travels 186 miles in 3 hours.

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Answer:

The answer is C (j' 1,4). It is not B J'(4, 1) because the new coordinate is moving 90 degrees clockwise not 180 degrees.

Step-by-step explanation:

J' will have coordinates (1, 4) after  90° clockwise rotation

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Rectangle JKLM is rotated 90° clockwise about the origin.

On a coordinate plane, rectangle J K L M has points (-4, 1), (-1, 1), (- 1, - 1), (- 4, - 1).

After rotating the rectangle 90° clockwise about the origin, the point J(-4, 1) will be transformed to a new point J' with coordinates (y, -x).

Thus, J' will have coordinates (1, 4).

Therefore,  J' will have coordinates (1, 4) after  90° clockwise rotation

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

361/900

Step-by-step explanation:

First, multiply 0.6 by (-1/3) to get -0.2 which equals (-1/5).

Now the equation is \((-\frac{1}{6}-0.2+1 )^{2}\)

Next, solve the inside of the parenthesis \(-\frac{1}{6}-\frac{1}{5} +1 = \frac{19}{30}\)

Now the equation is \((\frac{19}{30})^{2}\)

Finally we square this to get the simplified fraction of \(\frac{361}{900}\)

Based on the set of transformations for trapezoid ABCD, the location of point A after the transformations are complete is: D. (−5, 1).

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° to the given point, the coordinates of its image is given by:

(x, y)                           →               (-x, -y)

Points A = (-5, 1)        →     Points A' = (-(-5), -(1)) = (5, -1).

Next, we would reflect the given point over the x-axis as follows;

(x, y)                           →              (x, -y)

Points A' = (5, -1)        →     Points A' = (5, -(-1)) = (5, 1)

Lastly, we would reflect the given point over the y-axis as follows;

(x, y)                           →              (-x, y)

Points A' = (5, 1)        →     Points A' = (-(5), 1) = (-5, 1)

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