factor completely

8y²+6y+1​

Answer:

not co linear

Step-by-step explanation:

co linear means on the same straight line. CG is on one line. HG is on another. The might be at right angles,, but they are not colinear.

The likelihood of the event is 1/2

Answer:

16 tons

Step-by-step explanation:

To solve the first step is to change years to months because the time periods are in different units. There are 12 months in 1 year. This means that the company sells 48 tons over 12 months. 4 months is the equivalent of 1/3 of 12 months. This means that we can find the amount sold in 4 months by dividing 48 by 3. 48/3 is 16. Thus, the steel company sells 16 tons in 4 months.

Another way to find the answer is to find the unit rate. The unit rate is how many tons are sold in 1 month. Find this by dividing 48 by 12 because this represents the sales of 1 month. 48/12=4, this means that in 1 month, 4 tons of steel are sold. Next, multiply 4 times 4 to find the amount of steel sold in 4 months. 4 times 4 also gives you the same answer of 16.

The answer is B. 16 tons

Answer:

C

Step-by-step explanation:

When solving these problems with right triangles you gotta always equal 180 35 plus 90 plus 55 will equal 180

Answer:

Step-by-step explanation:

∠B+∠A=90

∠B+35=90

    -35   -35

∠B = 55

~

general equation of cubic polynomial is :

And we know the product of its roots is equal to

by equating the given equation with general equation,

we get :

therfore, the product of their roots :

Answer = 6

i hope it helped.....

The statement that is true about the dot plots is:  Range for Week 1 equals range for Week 2.

Range is simply the difference between the highest data point and the lowest data point in a data set.

Range for Week 1:

Range = 89 - 62

= 27

Range for Week 2:

Range = 89 - 62

= 27

The sentence of median and mean doesn't satisfy the situation.

Hence, Range for Week 1 equals range for Week 2.

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Answer:

97.7°

Step-by-step explanation:

Supplementary angles are angles that add up to 180° together so 180-82.3=97.7

The equation 2x(x+1.5)=-1, we need to simplify and solve for x. First, distribute the 2x to both terms inside the parentheses, Therefore, the solution with the smaller value is x = -1.

To solve the equation 2x(x+1.5)=-1, we need to simplify and solve for x. First, distribute the 2x to both terms inside the parentheses:\(2x^2 + 3x = -1\)

Next, bring all terms to one side of the equation to get a quadratic equation: \(2x^2 + 3x + 1 = 0\)

To solve the quadratic equation, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 2, b = 3, and c = 1.

Plugging these values into the quadratic formula, we get:

x = (-3 ± √(3^2 - 4*2*1)) / (2*2)

x = (-3 ± √(9 - 8)) / 4 x = (-3 ± √1) / 4

x = (-3 ± 1) / 4

Simplifying further, we have two possible solutions:

x = (-3 + 1) / 4 = -2 / 4 = -0.5

x = (-3 - 1) / 4 = -4 / 4 = -1

Therefore, the solution with the smaller value is x = -1.

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Answer:

22.8 blocks

Step-by-step explanation:

We can think of your path as traveling on a coordinate plane. You start by walking 6 units in the positive y direction, then 22 units in the negative x direction, then walking from this point (-22, 6) back to (0, 0)

This path draws a right triangle. The shorter leg is 6 units long, and the longer end is 22 units long. You want to find the hypotenuse of this triangle.

The hypotenuse is found using the Pythagorean theorem:

\(a^2+b^2=c^2\)

A and B represent the sides of the triangle, and c represents the hypotenuse!

Before plugging in the functions, isolate c, since that's the answer we're looking for:

\(a^2+b^2=c^2\\c=\sqrt{a^2+b^2}\)

Now, plug in the side lengths of the triangle:

\(c=\sqrt{6^2+22^2}\)

Now simplify!

\(c=\sqrt{36+484} \\x=\sqrt{520} x=22.8\)

It is 22.8 blocks back to your house! Hope this helps!

Answer:

6°F

Step-by-step explanation:

First, subtract 46 from 94 (94-46) and you will get 48.

Then, divide 48÷8 (because the time period is 8 days) and you will get 6.

Therefore, the daily temperature change is 6°F.

Answer:

1

Step-by-step explanation:

Since you are going for the largest value of x that satisfies the equation, you don't need to worry about negative numbers, and therefore don't need to worry about the absolute value.

5x-1=x+3

5x=x+4

4x=4

x=1

Hope this helps!

Answer:

Negative

Step-by-step explanation:

Answer:

Negative

Step-by-step explanation:

A positive divided by a negative is a negative.

Answer:

2

Step-by-step explanation:

Hey There!

When it ask for the scale factor its asking for what did you have to multiply the side length by of figure a to get the similar side length of figure b

for example in figure A the base length is 7

to get the the base length of figure B (14) they multiplied the base length of figure A by 2

7x2=14

therefore the scale factor is 2

Answer:

1/2, 3

Step-by-step explanation:

Rearrange the equation into y = mx + b form, where m is the slope and b is the y intercept:

-x + 2y = 6

2y = x + 6

y = 1/2x + 3

So, 1/2 is the slope and 3 is the y intercept.

The correct answer is 1/2, 3

Answer:

They manage to create an entirely magic, fantastical world that is nonetheless believable.

Step-by-step explanation:

I think it is think one eating a car is pretty much impossible. But if it's magical and fantasy, it could be. I think the answer is A

Answer:

This answer is the second choice, They seem to symbolize something that the characters find disturbing or troubling.

Step-by-step explanation:

I just took he quiz and this was the answer, Hope this helps :)

Brainliest??

Answer:

Width = 5x +3

Step-by-step explanation:

15x² - 16x - 15  =  15x² - 25x +  9x  - 3 *5

                       = 5x(3x - 5) + 3(3x - 5)

                      = (3x - 5)(5x + 3)    

Width = \(\frac{Area}{length}\)

          \(= \frac{15x^{2}-16x - 15}{(3x-5)}\\\\=\frac{(3x-5)(5x+3))}{(3x-5)}\\\\=5x + 3\)

Answer:

x = -44/13

y = -65/13

Step-by-step explanation:

Using matrix form means using the crammers rule

The matrix form of the expression is written as;

\(\left[\begin{array}{ccc}8&5\\-1&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}9\\7\\\end{array}\right]\)

AX = B

taking the determinant of A;

|A| = 8(1) - 5(-1)

|A| = 8 + 5

|A| = 13

After replacing the first row with the column matrix;

\(A_x =\left[\begin{array}{ccc}9&5\\7&-1\\\end{array}\right]\)

|Ax| = 9(-1)-5(7)

||Ax| = -9 - 35

|Ax| = -44

x = |Ax|/|A|

x = -44/13

similarly for y

\(A_x =\left[\begin{array}{ccc}8&9\\-1&7\\\end{array}\right]\)

|Ay| = 8(7)+9

|Ay| = 56+9

|Ay| = 65

y = |Ay|/|A|

y = -65/13

a. Hence in first case, if the distribution is normal, Probability is 0.0077 that the sample mean hardness for a random sample of 16 pins is at least 51

b. In second, Probability is 0 that the sample mean hardness for a random sample of 44 pins is at least 51.

The mean is one of the measures of central tendency used in statistics. The average of the specified collection of numbers is what is referred to as mean. It indicates the data set's values that are distributed equally. The three most popular methods for determining central tendency are the mean, median, and mode.

To find the mean, tally up all the values listed on a datasheet, then divide that total by the total number of values. When all the values are organized in ascending order, the median is the value that falls in the middle of the data. The number in the list that is repeated a maximum number of times is the mode.

a)

Y ~ N ( µ = 50 and σ = 1.6 )

P ( Y > 51 ) = 1 - P ( Y < 51 )

Standardizing the  value

Z = ( Y - µ ) /( σ / √(n))

Z = ( 51 - 50 ) /( 1.6 / √ ( 15 ) )

Z = 2.4206

P (  ( Y - µ ) /( σ / √ (n)) > ( 51 - 50 ) /( 1.6 / √(15) )

P ( Z > 2.42 )

P ( Y > 51 )  = 1 - P( Z < 2.42 )

P ( Y  > 51 )  = 1 - 0.9923  ( from the Z table)

P ( Y   > 51 )  = 0.0077

b)

P ( Y > 51 )  =1 - P ( Y < 51 )

Standardizing the  value

Z = ( Y - µ ) /( σ / √(n))

Z = ( 51 - 50 ) /( 1.6 / √ ( 43 ) )

Z = 4.1

P (  ( Y - µ ) /( σ / √ (n)) > ( 51 - 50 ) / ( 1.6 / √(43) )

P ( Z > 4.1 )

P ( Y > 51 )  =1 - P ( Z < 4.1 )

P ( Y > 51 )  = 1 - 1

P ( Y > 51 )  = 0

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Answer:

G. 226 mm

Step-by-step explanation:

C=2(3.14)(36)

The Height and volume of the pyramid is ,

i) Height = 15.35cm

ii) Volume= 690.75 \(cm^3\).

What is pyramid ?

 A three-dimensional shape is a pyramid. Flat triangular sides that are joined at a common point known as the apex define the polygonal base of a pyramid. By fusing the bases together at the peak, a pyramid is created. The lateral face, a triangular feature formed by the connection of each base edge to the apex, is present.

Here slant height l = 16cm and sides of the rectangular base is ,

length l = 15cm and width w = 9 cm.

Side length = 9/2 = 4.5cm

Using Pythagorean theorem ,

=> Height h =  \(\sqrt{16^2-4.5^2}\)

=> height h = 15.35 cm

Now volume of pyramid is ,

=> V = 1/3 * Base area * height cubic unit

=> V = 1/3 *15*9*15.35

=> V = 690.75 \(cm^3\)

Hence the Height and volume of the pyramid is ,

i) Height = 15.35cm

ii) Volume= 690.75 \(cm^3\).

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a₃ = a₇ = a₁₂ = 0.  To find the values of a3, a7, and a12 in the Taylor series of f(x) = x^3 ln(1 - x^2) about 0, we need to determine the coefficients of the corresponding terms in the series expansion.

The general formula for the coefficients in the Taylor series expansion of a function f(x) about 0 is given by:

an = f⁽ⁿ⁾(0) / n!

where f⁽ⁿ⁾(0) represents the nth derivative of f evaluated at 0.

Let's calculate the derivatives of f(x) and evaluate them at 0 to find the coefficients.

f(x) = x^3 ln(1 - x^2)

f'(x) = 3x^2 ln(1 - x^2) + x^3 * (1 - x^2)^(-1)

f''(x) = 6x ln(1 - x^2) + 3x^2 * (1 - x^2)^(-1) - 6x^4 * (1 - x^2)^(-2)

f⁽³⁾(x) = 6 ln(1 - x^2) + 6x * (1 - x^2)^(-1) - 12x^3 * (1 - x^2)^(-2) + 24x^5 * (1 - x^2)^(-3)

Now, let's evaluate these derivatives at 0:

f(0) = 0

f'(0) = 0

f''(0) = 6

f⁽³⁾(0) = 6

The coefficients of the terms in the Taylor series expansion are determined by these derivatives. Specifically, the nth coefficient aₙ is equal to f⁽ⁿ⁾(0) / n!.

Therefore, we have:

a₃ = f⁽³⁾(0) / 3! = 6 / 6 = 1

a₇ = f⁽⁷⁾(0) / 7! = 0 / 5040 = 0

a₁₂ = f⁽¹²⁾(0) / 12! = 0 / 479,001,600 = 0

Hence, a₃ = a₇ = a₁₂ = 0.

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Answer:

Step-by-step explanation:

We can easily get 'a' in the equation by setting x to zero which will get rid of the b variable leaving us with:

a = 2

Now for b, we know the second point is (1,6), so let's plug it into the function

6 = 2 * b^1

b = 3

Thus the function is \(y = 2*3^{x}\)

Hope that helps!

Answer:

perpendicular is opposite and reciprocal

Step-by-step explanation:

The slope is -1 and the reciprocal/ perpendicular is 1x

Answer:

the answer is 1

Step-by-step explanation:

A leaking faucet in the S&E building lab, dripping at a rate of one drop per second, will result in a water loss of approximately 4,725 liters in one year.

To calculate the amount of water lost in one year, we need to determine the number of drops per year and then convert it to liters. Since the faucet drips at a rate of one drop per second, there are 60 drops in a minute (60 seconds), which totals to 3,600 drops in an hour (60 minutes).

In a day, there would be 86,400 drops (24 hours * 3,600 drops). Considering a year of 365 days, the total number of drops would be approximately 31,536,000 drops (86,400 drops * 365 days). To convert the number of drops to liters, we need to multiply the total number of drops by the volume of each drop.

Given that each drop contains 0.150 milliliters, we convert it to liters by dividing by 1,000, resulting in 0.00015 liters per drop. Multiplying the total number of drops by the volume per drop, we find that the total water loss is approximately 4,725 liters (31,536,000 drops * 0.00015 liters/drop).

Therefore, in one year, the leaking faucet in the S&E building lab would result in a water loss of approximately 4,725 liters.

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Answer:

(2,2), (4,4), (6,6)

Step-by-step explanation:

2×1= 2

2×2 = 4

2×3 = 6

Answer:

2nd and 4th options are correct choices.

Step-by-step explanation:

From the incomplete picture given below, we have:

2nd = (2,2), (4,4), (6,6)

4th = (4,1), (8,2), (12,3)

Enjoy!

The value of the integral ∫(π/2 to π/4) csc(t) cot(t) dt is -√2 + 1.

To evaluate the integral ∫(π/2 to π/4) csc(t) cot(t) dt, we can use trigonometric identities and integration techniques.

First, let's rewrite the integrand using trigonometric identities:

Substituting these identities, the integral becomes:

∫(π/2 to π/4) (1/sin(t)) * (cos(t)/sin(t)) dt

Now, we can simplify the expression:

∫(π/2 to π/4) (cos(t)/sin²(t)) dt

To evaluate this integral, we can use the substitution method. Let u = sin(t), then du = cos(t) dt. We need to find the new limits of integration when t = π/2 and t = π/4.

When t = π/2, u = sin(π/2) = 1.

When t = π/4, u = sin(π/4) = 1/√2.

The integral becomes:

∫(1 to 1/√2) (1/u²) du

Simplifying further, we have:

∫(1 to 1/√2) u^(-2) du

Now, we can integrate:

∫(1 to 1/√2) u^(-2) du = [-u^(-1)] evaluated from 1 to 1/√2

Evaluating the definite integral, we have:

[-u^(-1)] from 1 to 1/√2 = [-(1/√2)^(-1) - (-1)^(-1)] = [-√2 - (-1)] = -√2 + 1

Therefore, the value of the integral ∫(π/2 to π/4) csc(t) cot(t) dt is -√2 + 1.

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The 89 scores are all within one standard deviation of the mean.

The range of data within one standard deviation of the mean is expressed as the mean plus or minus one standard deviation.

Since the mean in this situation is 80 and the standard deviation is 4, the range that falls within the mean's one standard deviation is as follows:

\(80±4 = (76, 84)\)

Therefore, scores A (75) and B (77) are both below this interval, score C (90) is above this interval, and score D (90) is much higher than this interval. Only score E (89) is within this interval

The 89 scores are all within one standard deviation of the mean.

so E) 89 is the right response.

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Answer:

  y = -7x -68

Step-by-step explanation:

Given the line y = -7x+6, you want the equation of a parallel line through (-9, -5).

The slope-intercept form of the equation of a line is ...

  y = mx +b

Solving for b, the y-intercept, we find ...

  y -mx = b

Parallel lines have the same slope (m). The given line has a slope of m=-7, so that will be the slope in the equation you're looking for. The point (x, y) = (-9, -5) can be used with the above equation to find the y-intercept.

  b = y -mx = -5 -(-7)(-9) = -5 -63

  b = -68

Then the equation is ...

  y = -7x -68