What is the vertex of the parabola given by y = x2 − 10x + 17? A. (5, -8) B. (-5, 8) C. (5, 8) D. (-5, -8)

Answer:

the weight for an object with a velocity of 12 meters per second is 600 kilograms

Step-by-step explanation:

The linear momentum of an article is : p = mv

Where p = Momentum

m = mass

v = velocity

The velocity is 16 meters per second and the object weighs 450 kilograms

So, [tex]p = 450 \times 16[/tex]

We are supposed to find the weight for an object with a velocity of 12 meters per second

So, p = 12m

We are given that the linear momentum is a constant when the mass varies inversely of the velocity.

So, [tex]450 \times 16 = 12 \times m\\\frac{450 \times 16}{12}=m\\600=m[/tex]

Hence the weight for an object with a velocity of 12 meters per second is 600 kilograms

Answer:

This data set contains three variables, one of which is categorical

Step-by-step explanation:

The three variables are: Gender, Length and Weight

A categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values. In this example, the only categorical variable is Gender, because it can only take two possible values, female (F) or male (M). The other two variables are not categorical because they have to be measured, and their values are not fixed.

Answer: 295

Step-by-step explanation:

[tex]Formula: a_n=a_1+(n-1)d[/tex]

Where;

[tex]a_n[/tex] = nth term (the term we're trying to find.)

[tex]a_1[/tex] = first term

[tex]n[/tex] = nth term

[tex]d[/tex] = difference

[tex]a_1_8=6+(18-1)(17)\\a_1_8=6+(17)(17)\\a_1_8=6+289\\a_1_8=295[/tex]

Answer:

Measure of arc CD will be 52°.

Step-by-step explanation:

In the given circle A, measure of central angle intercepted by the arc BCD at the center = 148°

And points B, C and D lie on the given circle.

[tex]m(\widehat {BCD})[/tex] = 148°

[tex]m(\widehat {BCD})=m(\widehat{BC})+m(\widehat {CD})[/tex]

148° = 96° + [tex]m(\widehat{CD})[/tex]

148 - 96 = [tex]m(\widehat{CD})[/tex]

[tex]m(\widehat{CD})[/tex] = 52°

Therefore, measure of arc CD will be 52°.

Option (3) will be the answer.

Answer:

its C

Step-by-step explanation:

Answer:

D. (-3, 2)

Step-by-step explanation:

The original point is (3, -2)

The rule for reflecting across the x-axis is (x, y) -> (x, -y)

(3, -2) -> (3, 2)

The rule for reflecting across the y-axis is (x, y) -> (-x, y)

(3, 2) -> (-3, 2)

We want to find the image of the point (3, -2) after two reflections.

The correct option is D: (-3, 2)

Now let's see how to solve this.

The first thing we need to do is describe the two reflections.

For a general point (x, y), a reflection across the x-axis will give the point (x, -y).

And a reflection across the y-axis will give the point (-x, y).

So, if we start with the point (3, -2).

Then we reflect this across the x-axis, it gives the point: (3, -(-2)) = (3, 2)

Now we have a reflection across the y-axis, it gives the point (-3, 2)

So the image of the point after the two reflections is (-3, 2), meaning that the correct option is D.

If you want to learn more, you can read:

https://brainly.com/question/25095797

Answer:

0.5m+2.50=c

Step-by-step explanation:

Just trust me brah

Answer:

!!B!!

Step-by-step explanation:

What is the scale factor used to

enlarge an 8" by 10" original

photo to a 16" by 20" image?

A. 2

B. 2.5....is the answer

C. 0.5

D. 1.6

Answer:

A

Step-by-step explanation:

8x2= 16   10x2=20

Answer:

Yes

Step-by-step explanation:

1/3 = 3 in 1

3(1) = 3

3 x 12 = 36

So 36 is correct

Answer:

I’m pretty sure you are correct.

Answer: The answer is C

[tex]m=\sqrt{(-7)^2 +(-5)^2}=\sqrt{74}[/tex]

The vector (-7,-5) as a sum of unit vectors is -7i-5j

Answer:

C on E2020

Have a Great Day ;)

Answer:

14°

Step-by-step explanation:

Because 76° and x are complementary (meaning they add up to 90°), 76 + x = 90 which means x = 14°.

Answer:

Option A

Step-by-step explanation:

Slope is: [tex]m=\frac{\text{Rise}}{\text{Run}} =\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-4,3) and (3,1).

[tex]m=\frac{1-3}{3-(-4)}=\frac{-2}{7} =\boxed{-\frac{2}{7}}[/tex]

Option A should be the correct answer.

Answer:

r = 2

Step-by-step explanation:

Calculate slope m using the slope formula and equate to [tex]\frac{3}{4}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 11, r) and (x₂, y₂ ) = (- 7, 5)

m = [tex]\frac{5-r}{-7+11}[/tex] = [tex]\frac{5-r}{4}[/tex] = [tex]\frac{3}{4}[/tex] ( multiply both sides by 4 to clear the fractions )

5 - r = 3 ( subtract 5 from both sides )

- r = - 2 ( multiply both sides by - 1 )

r = 2

Answer:

True.

Step-by-step explanation:

If we were to simplify both fractions down to their simplest form, we would get:

[tex]\frac{3}{9} = \frac{1}{3}[/tex]

[tex]\frac{5}{15} = \frac{1}{3}[/tex]

Therefore, the two ratios do form a proportion. Both are equivalent to [tex]\frac{1}{3}[/tex] when in simplest form.

Answer:(x+4)(x+7)

Step-by-step explanation:

The middle number is 11 and the last number is 28.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 11

Multiply together to get 28

Can you think of the two numbers?

Try 4 and 7:

4+7 = 11

4*7 = 28

Fill in the blanks in

(x+_)(x+_)

with 4 and 7 to get...

(x+4)(x+7)

Answer:

Step-by-step explanation:

When you multiply two terms with same base, add the exponents.

Example:  x*x² = x* x*x = x³

In short, x*x² = x¹⁺² = x³

[tex]y^{9}*y^{2}=y^{9+2}\\\\ = y^{11}[/tex]

it is 300 and 300

and 300

Answer:

its 4

Step-by-step explanation:

Answer:

Green Material: 129.6 in³

Brown Material: 194.4 in³

Step-by-step explanation:

The volume of the bin is 4×18×9 in³ or 648 in³

20% of 648 is 129.6 in³ (brown material)

30% of 648 is 194.4 in³ (green material)

Answer:

In ALL circles, the diameter is twice the radius.

Therefore, the ratio of of radius to diameter in ALL circles is .5

Step-by-step explanation:

Answer:

1 : 2

Step-by-step explanation:

Diameter = 36 ft

Therefore, radius = 36/2 = 18 ft

Ratio of the circle’s radius to its diameter

[tex] = \frac{18}{36} \\ \\ = \frac{1}{2} \\ \\ = 1 \: : \: 2[/tex]

Answer:

45 + ( 7.50*x)

Step-by-step explanation:

Answer:

I believe the answer is: [tex]f(x)=45+7.50x[/tex]

Step-by-step explanation:

45 because you start with it costing that much and then the 7.50x because each child costs 7.50 and you don't know how many there will be.

Answer:

2

Step-by-step explanation:

Its an extraneous solution, not a normal solution. It shouldn't be -4, it should be 2.

The extraneous solution obtained by Kaylee is y = 4.

To solve the equation, let's follow Kaylee's approach and square both sides:

[tex](1 - y)^2 = (2y^2 - 7)[/tex]

Expanding the left side:

[tex]1 - 2y + y^2 = 2y^2 - 7[/tex]

Rearranging the equation and combining like terms:

[tex]y^2 - 2y^2 + 2y - 1 - 7 = 0\\\\-y^2 + 2y - 8 = 0[/tex]

Now, to solve this quadratic equation, we can factor it:

-(y - 4)(y + 2) = 0

Setting each factor equal to zero:

y - 4 = 0   or   y + 2 = 0

Solving for y in each equation:

y = 4   or   y = -2

However, we need to check if these solutions are extraneous by substituting them back into the original equation:

For y = 4:

[tex]1 - 4 = \sqrt{2(4^2) - 7}\\\\-3 = \sqrt{32 - 7}\\\\-3 = \sqrt{25}[/tex]

-3 ≠ 5

For y = -2:

[tex]1 - (-2) = \sqrt{2(-2^2) - 7}\\\\3 = \sqrt{8 - 7}\\\\3 = 1[/tex]

From the above analysis, we see that when y = 4, it leads to an extraneous solution, as it does not satisfy the original equation.

Therefore, the extraneous solution obtained by Kaylee is y = 4.

To know more about extraneous solution, refer here:

https://brainly.com/question/32777187

#SPJ2

Answer:

y < 1 - (3x)/4

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.

y < 1 − 3 x /4

the graph is partially shaded. the shade crosses through (0,1) and (1,0).  I hope you can figure that out :)

Answer:  31 bacteria per square centimiter.

Step-by-step explanation:

The correct number of bacteria in the question is 2,450.

Hi, to answer this question we have to apply the next formula:

Area of a circle = π x (diameter/2) ^2

Replacing with the values given:

A = π x (10/2) ^2

A = π x (5) ^2

A = π x 25 = 78.54 cm2

Next, we have to divide the number of bacteria (2,450) by the area of the dish  

2450 / 78.54 = 31.19 = 31 bacteria per square centimiter.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

hope this helps! pls mark brainliest

Step-by-step explanation:

y= -1/2x + 2

y=mx+b

b is the y intercept which is where the line passes through the point.

m is slope to find slope go to a point (ex- (0,4) and go to the next and to do that is up 1 over 2 which is 1/2 and the line is going left so it's negative

Answer:

Step-by-step explanation:

It was reflected over the x axis

That's all I see

Answer:

There are straight, zero, right, obtuse,acute, complementary, supplementary, vertical

Step-by-step explanation:

These are a few I know of

Answer:

10/19

Step-by-step explanation:

count how many is under 7.63

Answer:

The correct answer is

5(n + 3)

Use the distributive property to factor

Hope this helps!

- Quinn

Answer:

Step-by-step explanation:

5n + 15 = 5*n + 5*3

           = 5* [n + 3]

           = 5[n + 3]

Answer:

not a solution

Step-by-step explanation:

Substitute the point into the equation and see if it is true

y = 7x

4 = 7*1

4 = 7

This is not true so it is not a solution