How many pencils did kyle purchase?

Answer:

radius 4

center (3,6)

Step-by-step explanation:

(x - h)^2 + (y - k)^2 = r^2

coordinates of the center (h, k) and the radius is (r)

x² + y²- 6x - 12y +29=0

x² - 6x + y²- 12y +29=0

(x² - 6x) + (y²- 12y) +29=0

complete the square

(x² - 6x) + 9 + (y²- 12y) +36 +29=  + 9  +36

(x² - 6x + 9) + (y²- 12y + 36) = + 9  +36 -29

(x-3)^2 + (y-6)^2 = 16

(x - h)^2 + (y - k)^2 = r^2

coordinates of the center (h, k) and the radius is (r)

center (3,6)

radius 4

cuemathcom

varsitytutors

Answer: Center: (3,2)                Radius: 5

Step-by-step explanation:#x^2 - 6x +y^2 - 4y = 12

Then take 1/2 of the 'b' term for both quadratic expressions, square those values and add them to both sides.

#x^2 -6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4

(x - 3)^2 + (y -2)^2 = 25

Circle centered at (3,2) with radius = 5

Step-by-step explanation:

the slope of f(x) = 1

for every increase of x by 1 also y increases by 1.

the slow of g(x) = -2

for every increase of x by one y decreases by 2.

so, we see, as

g(x) = k × f(x)

k = g(x) / f(x) = slope g / slope f = -2/1 = -2

why ? because both functions are linear functions (lines).

they look like

y = ax + b

with a being the slope of the line.

so, when multiplied by k, this is kax + kb, and we see k as factor already in the slope of the line itself.

Using the relative frequency concept, it is found that:

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

The number in the cell has bounds conversible and Pluto Cars, and the table represents the amount earned, that is, revenue, hence option b is correct.

The total revenue of Pluto Cars is of $80 million, with convertibles corresponding to $18 million, hence the relative frequency is given by:

r = 18/80 = 0.225.

More can be learned about relative frequency at https://brainly.com/question/14398287

#SPJ1

Answer:

y = y coordinate

m = slope

x = x coordinate

b = y intercept

Line passes through (2, -1) and slope of 1/3

y = mx + b,  Identify:  x = 2, y = -1, slope: [tex]\sf \frac{1}{3}[/tex]

insert following values

[tex]\rightarrow \sf -1 = \dfrac{1}{3} (2) + b[/tex]

multiply

[tex]\rightarrow \sf -1 = \dfrac{2}{3} + b[/tex]

switch sides

[tex]\rightarrow \sf b = -1 - \dfrac{2}{3}[/tex]

subtract

[tex]\sf \rightarrow b = -\dfrac{5}{3}[/tex]

convert to mixed fraction

[tex]\sf \rightarrow b = -1\dfrac{2}{3}[/tex]

y = mx + b,  m = [tex]\sf \frac{1}{3}[/tex], b = [tex]-1\frac{2}{3}[/tex]

insert following values

[tex]\rightarrow \sf y = \dfrac{1}{3} x -1\dfrac{2}{3}[/tex]

Answer:

I only did 1-16 but here:

11. x² + y² = 4

12. (x+3)² + (y-3)² = 1

13. x² + (y-3)² = 16

14. (x-7)² + (y+2)² = 4

15. x² + (y+20)² = 100

16. (x+4)² + (y+6)² = 16

Answer:

Its C.

Step-by-step explanation:

Answer:

"C"

Step-by-step explanation:

It's "C" on the other brainly as well -_-

Answer:

[tex]\huge\boxed{\sf x = \pm \sqrt{7} }[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=x^2-7[/tex]

We can also write it as:

[tex]y =x^2-7[/tex]

x-intercept is the point where y = 0

Put y = 0 in the above equation

[tex]0=x^2-7\\\\Add \ 7 \ to \ both\ sides\\\\7 = x^2\\\\Take \ sqrt \ on \ both \ sides\\\\\pm \sqrt{7} =x\\\\x = \pm \sqrt{7} \\\\\rule[225]{225}{2}[/tex]

Answer: 4 books

Step-by-step explanation:

x = minimum number of book

Leslee

= 3x (bought 3 times the minimum)

Denise

= x + 7 (bought 7 more than the minimum)

Together

= (3x) + (x + 7)

(3x) + (x + 7) = 23 (books they bought together)

3x + x + 7 = 23

3x + x = 23 - 7 (isolate the like variables together)

4x = 16 (divide both sides by 4)

x = 4

4 is the minimum number of books

To check:

3(4) + (4+7)

12 + 11 = 23

Answer:

y= 40 degree

Step-by-step explanation:

ACD+CDA+DAC= 180 degree

y+ 90+30+20= 180 degree

y+140 = 180

y= 180- 140 degree

y= 40 degree

Hope it helps you :)))))

have a good day

Answer:

Approximately [tex]14,\!500\; {\rm cm^{3}}[/tex].

Step-by-step explanation:

The radius of a sphere is the same as the radius of the great circle of that sphere.

Thus, in this question, it would be possible to find the radius of the sphere by finding the radius of the great circle.

The circumference of a circle of radius [tex]r[/tex] is [tex]2\, \pi \, r[/tex]. In this question, it is given that the circumference of this great circle is [tex]95\; {\rm cm}[/tex]. Thus, the radius of this great circle would be:

[tex]\begin{aligned}r &= \frac{95\; {\rm cm}}{2\, \pi} \approx 15.1197\; {\rm cm}\end{aligned}[/tex].

Thus, radius of the sphere in this question would also be approximately [tex]15.1197\; {\rm cm}[/tex].

The volume of a sphere of radius [tex]r[/tex] is [tex](4/3)\, \pi\, r^{3}[/tex]. Thus, the volume of this sphere of radius [tex]r = 15.1197\; {\rm cm}[/tex] would be approximately:

[tex]\begin{aligned}\frac{4}{3} \, \pi\times (15.1197\; {\rm cm})^{3} \approx 14,\!500 \; {\rm cm^{3}}\end{aligned}[/tex]

Answer:

Step-by-step explanation:

-40

−20−8-12

−28−12

-40

Answer:

-5

Step-by-step explanation:

9+6-2*10

15-20

= -5

the opposites would equal each other.

The last 2 answers are the correct ones.

There is an estimated rise of 3.58 hatched eggs for every one degree Fahrenheit increment every day. Then the correct option is B.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A scientist is interested in the relationship between the number of eggs hatched per day for frogs (y) and temperature.

Based on the collected data, the least-squares regression line is y = 15.66 +3.58x, where x is the number of degrees by which temperature exceeds 60 degrees Fahrenheit.

For each increase of one degree Fahrenheit per day, there is an estimated increase of 3.58 hatched eggs.

Thus, the correct option is B.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer: For each increase of one degree Fahrenheit per day, there is an estimated increase of 3.58 hatched eggs

Step-by-step explanation:

took the test :)

Answer:c

Step-by-step explanation:

The function x² +5x-6/3x is a rational function, option A is correct.

A relation is a function if it has only One y-value for each x-value.

x² +5x-6/3x is a rational function, as it can be written in the form:

F(x) = (x² + 5x - 6) / (3x)

where the numerator and denominator are polynomials.

F(x)=x-x+8 is not a rational function, as it simplifies to F(x) = 8, which is a constant and not a fraction.

F(x)=√2x-1+9 is not a rational function, as it contains a square root and cannot be expressed as a ratio of two polynomials.

F(x) = -7x+15 is not a rational function, as it is a polynomial and not a fraction.

Therefore, the function x² +5x-6/3x is a rational function, option A is correct.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

Answer:

5 possible outcomes

1. All 4 are heads,

2. All 4 are tails,

3. 3 are heads and 1 tails,

4. 2 are heads and 2 are tails,

5. 1 is tails and three are heads.

Step-by-step explanation:

On one side of a coin it’s heads, and on the other it’s tails.

there are 4 coins

(Coin side, coin side, coin side, coin side)

Possibilities;

(Heads, heads, heads, heads)

all four coins are heads

(Heads, tails, heads, heads)
three coins are heads and one tails

(Heads, tails, tails, heads)
two coins are heads, two coins are tails

(Heads, tails, tails, tails)

one coin is heads, the other three are tails

(Tails, tails, tails, tails)

all four coins are tails.

5 possible outcomes

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{10}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{10}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{4}}}\implies \cfrac{9}{3}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{3}(x-\stackrel{x_1}{4}) \\\\\\ y-1=3x-12\implies y=3x-11[/tex]

To calculate this sort of problem:

 ⇒ involves calculating the total profits over each year

 ⇒ with a constant increase periodically

    ⇒ need to use the Compound Interest Equation

           [tex]A = P(1+\frac{r}{n})^{nt}[/tex]

Let's fill in some variables:

What do we want to know:

Let's solve:

    [tex]A= 247500*(1+\frac{0.16}{1} )^{1*10}=\\A=247500*(1+0.16)^{10}\\A=247500*(1.16)^{10} \\A= 1,091,830.18[/tex]

To the nearest whole number

Hope that helps!

Answer:

the aa similarity postulate

Step-by-step explanation:

no sides are given and we can not simply assume the sides are congruent, however we do know two of the angles on both triangles are the same allowing us to know that the third therefore must also be the same.

both traingles share angle MAN

and AMN and ABC are equal so therefore

angle ANM and ACB must also be the same

Answer:

99 in³

Step-by-step explanation:

Let the radius and height of each be r and h in. respectively.

Write an equation for the volume of cone.

Volume of cone= ⅓πr²h

⅓πr²h= 33

Multiply both sides by 3:

πr²h= 99

Volume of cylinder= πr²h

We have found the value of πr²h previously, which is 99.

Thus, the volume of the cylinder is 99 in³.

Answer: 500%

Step-by-step explanation: 300/60 = 5

5 = 500%

To check work:

60*5 = 300

Answer:

i think the answer is r=0.5 or r=−3/2−x^2

Step-by-step explanation:

-4r^2-4r=6

step 1. -4r(-4r)= 16r

16r-4r=6

step 2. 16r-4r=12r

12r=6      

step 3. /12 on both sides

r= 0.5

Answer:

14! i think :D

Step-by-step explanation:

im probly worngg TvT

The conditional probability that the carbon emission is beyond the permissible emission level and the test predicts this is given by:

a. 0.2975.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

In this problem, we have that the events are as follows:

We have that 35% of the units have carbon emission beyond the permissible emission level, and the test is 85% accurate, hence:

[tex]P(A) = 0.35, P(B|A) = 0.85[/tex]

Then:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]0.85 = \frac{P(A \cap B)}{0.35}[/tex]

[tex]P(A \cap B) = 0.85(0.35) = 0.2975[/tex]

Which means that option a is correct.

More can be learned about conditional probability at https://brainly.com/question/14398287

#SPJ4

Answer:

[tex]8(156 \times 1.1) + 12(156 \times 1.2) [/tex]

Answer:

B

Step-by-step explanation:

B: $303.75

I hope this helps you and I hope you do well.