Learning Check Evaluate Algebraic Expressions Substitute for the given values. Then, solve using the order 2x + 10 when x = 5​

Answer:

C) (-3,-1)

Step-by-step explanation:

C) (-3,-1)

Answer:

its sampling distribution is centered exactly at the parameter it estimates.

Step-by-step explanation:

An unbiased estimator is an estimator that shows the correct statistic applied for the parameter of the population

Here correct represents that it should not be overestimated or underestimated. In the case when there is an underestimate or overestimate this means that there is a bias

So as per the given options the above option is correct

Answer:

71°

Step-by-step explanation:

The angle of elevation of the hill can be obtiaed using trigonometry :

Given

the opposite length = 14.5 feets

Adjacent = 5 feets

The angle of elevation vabnbe obtained using :

Tan θ = opposite / Adjacent

Where θ = angle of elevation

Tan θ = 14.5 / 5

Tan θ = 2.9

θ = tan^-1(2.9)

θ = 70.97 = 71°

Answer:

Radius: [tex]r =\frac{\sqrt {21}}{6}[/tex]

[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]

Step-by-step explanation:

Given

[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]

Solving (a): The radius of the circle

First, we express the equation as:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]r = radius[/tex]

[tex](h,k) =center[/tex]

So, we have:

[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]

Divide through by 9

[tex]x^2 + y^2 + 3x + \frac{12}{9}y + \frac{19}{9} = 0[/tex]

Rewrite as:

[tex]x^2 + 3x + y^2+ \frac{12}{9}y =- \frac{19}{9}[/tex]

Group the expression into 2

[tex][x^2 + 3x] + [y^2+ \frac{12}{9}y] =- \frac{19}{9}[/tex]

[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]

Next, we complete the square on each group.

For [tex][x^2 + 3x][/tex]

1: Divide the [tex]coefficient\ of\ x\ by\ 2[/tex]

2: Take the [tex]square\ of\ the\ division[/tex]

3: Add this [tex]square\ to\ both\ sides\ of\ the\ equation.[/tex]

So, we have:

[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]

[tex][x^2 + 3x + (\frac{3}{2})^2] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]

Factorize

[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]

Apply the same to y

[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y +(\frac{4}{6})^2 ] =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ \frac{9}{4} +\frac{16}{36}[/tex]

Add the fractions

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{-19 * 4 + 9 * 9 + 16 * 1}{36}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{21}{36}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{7}{12}[/tex]

[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]

Recall that:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

By comparison:

[tex]r^2 =\frac{7}{12}[/tex]

Take square roots of both sides

[tex]r =\sqrt{\frac{7}{12}}[/tex]

Split

[tex]r =\frac{\sqrt 7}{\sqrt 12}[/tex]

Rationalize

[tex]r =\frac{\sqrt 7*\sqrt 12}{\sqrt 12*\sqrt 12}[/tex]

[tex]r =\frac{\sqrt {84}}{12}[/tex]

[tex]r =\frac{\sqrt {4*21}}{12}[/tex]

[tex]r =\frac{2\sqrt {21}}{12}[/tex]

[tex]r =\frac{\sqrt {21}}{6}[/tex]

Solving (b): The center

Recall that:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex]r = radius[/tex]

[tex](h,k) =center[/tex]

From:

[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]

[tex]-h = \frac{3}{2}[/tex] and [tex]-k = \frac{2}{3}[/tex]

Solve for h and k

[tex]h = -\frac{3}{2}[/tex] and [tex]k = -\frac{2}{3}[/tex]

Hence, the center is:

[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]

Answer:

-2

Step-by-step explanation:

This is an easy way to do it with points

(0,2)

+1  -2

(1,0)

rise/run  -2/1= -2

Answer:

4(6a+3b-10c)

Step-by-step explanation:

Answer and Step-by-step explanation:

All of the terms have a common factor of 4.

4(6a + 3b - 10c)

#teamtrees #PAW (Plant And Water)

Answer:

there are no questions

Step-by-step explanation:

but may i still please have a brainliest

if not then it is ok

write the questions in the comments

Answer:

What questions?

I don't see anything

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

x^2 + 5^2 = 13^2

x^2 + 25 = 169

x^2 = 144

---> x = 12

Answer:

Yeah

Step-by-step explanation:

☁️ Answer ☁️

Yes! Send a screenshot and ask ur question

Answer:

b. No

Step-by-step explanation:

Binomial approximation to the normal:

Binomial distribution has n trials, with p probability.

If

[tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], it can be approximated to the normal distribution.

Assume the probability that a given student will not pass their college placement exam is 98%.

This means that [tex]p = 0.98[/tex]

134 students:

This means that [tex]n = 134[/tex]

Necessary conditions:

[tex]np = 134*0.98 = 131.32 \geq 10[/tex]

[tex]n(1-p) = 134*0.02 = 2.68 < 10[/tex]

Since the necessary condition n(1-p) < 10 is not satisfied, the answer is No, given by option b.

Answer:

yes, since it takes 48 gallons of gas to go one direction to go back it is 96

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If her daughter lives 1,650 miles away, and her gift card is for q00 miles of gas, and her car can travel 35 miles on each gallon, it would take about 47 gallons to make the 1,650 mile trip to her daughter. Leaving 53 gallons on her car.

To make the 1,650 mile trip back to her own home, it would take another 47 gallons. Since she still has 53 gallons left from her trip there, she will be able to make the trip back with still 6 gallons in her tank.

Answer:

0.619 = 61.9% probability of choosing a professor or an instructor.

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

7 + 4 + 4 + 6 = 21 members

7 + 6 = 13 professors or instructors.

Find the probability of choosing a professor or an instructor.

p = 13/21 = 0.619

0.619 = 61.9% probability of choosing a professor or an instructor.

The number of fences needed to build around the entire garden is 12.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

Side of the square garden = 3 inches

Scale factor.

1(1/2) inches = 4 feet

3/2 inches = 4 feet

3 inches = 8 feet

Now,

Length of one fence.

= 2(2/3) feet

= 8/3 feet

Now,

The perimeter of the square.

= 4 side

= 4 x 3 inches

= 12 inches

= 4 x 8 feet

= 32 feet

Now,

The number of fences needed to build the fence around the garden.

= 32 ÷ 8/3

= 32 x 3/8

= 12 fences

Thus,

12 fences are needed to cover the entire garden.

Learn more about squares here:

https://brainly.com/question/22964077

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Answer:

Cans of soup are restocked at a faster rate

Step-by-step explanation:

With an equation y=mx+b, m = slope

m of rice = 12

The slope of the graph for the cans of soup is 30/2 = 15

m of soup = 15

15 is greater than 12

Answer:

Hello There!!

Step-by-step explanation:

The answer is B. Choosing a loan with a simple rather than compound interest rate.

hope this helps,have a great day!!

~Pinky~

Answer:

3

Step-by-step explanation:

Answer:

1+ 2 = 3

Step-by-step explanation:

Since the area of the figure changed by a factor of 25, a factor by which the dimensions of the pentagon were multiplied include the following: C. 5.

In Geometry and Mathematics, a scale factor simply refers to the ratio of two corresponding side lengths in two similar geometric figures such as pentagons, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.

In Geometry, the scale factor of the dimensions of a geometric figure can be calculated by using the following formula:

(Scale factor of dimensions)² = Scale factor of area

(Scale factor of dimensions)² = 25

Scale factor of dimensions = √25 = 5

Read more on scale factor here: brainly.com/question/29967135

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Answer:

c.5

Step-by-step explanation:

Answer:

[tex]x = \frac{\sqrt{70} }{10}, - \frac{\sqrt{70} }{10}[/tex]

Using the concept of the tangent function, it is found that:

As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.

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

Tangent function:

It is given by:

[tex]f(x) = \tan{Bx}[/tex]

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

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

Considering the three bullet points above, the correct option is:

As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.

A similar problem is given at https://brainly.com/question/16828446

Answer:

got it right

Step-by-step explanation:

Answer:

since they are alternate angles(equal)

4x-10=58

4x=68

x=17

Answer:

option 4

Step-by-step explanation:

(4x - 10) and 58 are alternate angles and are congruent, then

4x - 10 = 58 ( add 10 to both sides )

4x = 68 ( divide both sides by 4 )

x = 17

The form of the function that most quickly reveals the y-intercept is the second form:

[tex]g(x)=[/tex] [tex]3(x+1)^{2} - 12[/tex]

To find the y-intercept, we need to determine the value of g(x) when x is equal to 0. By substituting x = 0 into the function, we have:

[tex]g(0)=3(0+1)^{2} -12[/tex]

     [tex]=3(1)^{2} -12[/tex]

     [tex]=3-12[/tex]

     [tex]=-9.[/tex]

Therefore, the y-intercept is -9. This means that the graph of the function intersects the y-axis at the point (0, -9), where the x-coordinate is 0 and the y-coordinate represents the y-intercept value.

For more questions on function, click on:

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Answer:

C. 16 feet.

Step-by-step explanation:

How to find the maximum height of a projectile

if α = 90°, then the formula simplifies to: hmax = h + V₀² / (2 * g) and the time of flight is the longest.  

if α = 45°, then the equation may be written as:  

if α = 0°, then vertical velocity is equal to 0 (Vy = 0), and that's the case of horizontal projectile motion.

A volume of a pyramid=base area×height/3

both the bases have same dimensions

pyramid B is twice the height of A

therefore the volume is doubled

Answer:

Pyramid B = 240 cubic feet, the volume doubled

Step-by-step explanation:

Pyramid A: 120/10 =12,   12 x 3 = 36 ft² base

Pyramid B: 36 ft² base x 20 ft tall x 1/3 = 240 cubic feet

Answer:

4 pounds

Step-by-step explanation:

Answer:

your answer will be 588in²

Step-by-step explanation:

Area=πr²

=π(14)²

=3×(14)²

Area=588in²

hope it helps..

have a great day!!!

Answer:

b. it cannot be ruled out that the type of fuel is an insignificant factor in determining speed.

Step-by-step explanation:

From the question :

Let the speed of each fuel be represented as ;

u1, u2, u3

The null hypothesis, H0 ;

H0 : u1 = u2 = u3

H0 is of the notion that fuel type is not a significant factor in determining speed

The alternative hypothesis, H1;

H1 : u1 ≠ u2 ≠ u3

The alternative is the opposite of the null, fuel type is a significant factor in determining speed

If after conducting the statistical test, the null hypothesis cannot be rejected ;

Then the conclusion will be ;

There is no significant evidence to conclude that the fuel type is a significant factor in determining speed ;

Hence, fuel fuel type remains an insignificant factor in determining speed.

Answer:20

Step-by-step explanation:

2(4)+2(6)

8+12=20

Answer: 20

Step-by-step explanation:

Plug in 4 for w and 6 for I.

2(4) + 2(6) = 8 + 12 = 20