Daniel runs 40/5 miles in 124/₁ minutes. What is the unit rate in terms of miles per minute? What the answer:

The zeroes of the given polynomial is 1 and -6.

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Here, given equation;

          f(x) = (x - 1)(x + 6)

for finding the zeros of the equation we need to put.....f(x) = 0

           0 = (x - 1)(x + 6)

     x - 1 = 0      or       x + 6 = 0

     x = 1          or    x = -6

Thus, The zeroes of the given polynomial is 1 and -6.

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The center of the circle is (0,2) and the radius is 5 units

The equation is given as:

x² + (y-2)² =25

The equation of a circle is given as:

(x - a)² + (y - b)² = r²

Where:

Center = (a,b)

Radius =  r

By comparison, we have:

(a,b) = (0,2)

r² = 25

Evaluate

r = 5

Hence, the center of the circle is (0,2) and the radius is 5 units

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The degrees of freedom in a regression model is 2 if the model that has 10 observations and 7 independent variables.

The amount of rows of training data used to fit the model equals the degrees of freedom.

Total observation = 10

Number of independent variables = 7

Degree of freedom for regression = 10 – 7 - 1

= 2

Thus, the degrees of freedom in a regression model is 2 if the model that has 10 observations and 7 independent variables.

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Recall that for |x| < 1, we have

[tex]\displaystyle \frac1{1-x} = \sum_{n=0}^\infty x^n[/tex]

Differentiating both sides gives

[tex]\displaystyle \frac1{(1-x)^2} = \sum_{n=0}^\infty n x^{n-1} = \sum_{n=0}^\infty (n+1) x^n[/tex]

so that the Maclaurin expansion of the given function is

[tex]\displaystyle \frac5{1-x} = \boxed{\sum_{n=0}^\infty 5(n+1) x^n} = 5 + 10x + 15x^2 + 20x^3 + \cdots[/tex]

Answer:

y = 5sin(6π/7) + 3

Answer:

74

Step-by-step explanation:

(8x10) - 6 =

80 - 6 = 74

[tex]\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= x^2-2x-4 \qquad \begin{cases} x_1=-1\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-1)}{4 - (-1)} \\\\\\ \cfrac{[(4)^2-2(4)-4]~~ - ~~[(-1)^2-2(-1)-4]}{4+1}\implies \cfrac{4~~ - ~~(-1)}{5} \\\\\\ \cfrac{4+1}{5}\implies \cfrac{5}{5}\implies 1[/tex]

653/8

=81 R 5

Step-by-step explanation:

when you divide 653 by 8 you get 82 reminder 5

to prove try multiplying 82 by 8 you will get 5 as the remainder

Answer:

AC = BC = 5

AB = 5√2

∠A = ∠B = 45

∠A = 90

Step-by-step explanation:

AC = 5 ( Reason : 5 squares are present in between A and C )

Similarly,

BC = 5

By Pythagoras theorem,

(AB)² = (AC)² + (BC)²

        = 5² + 5²

        = 2 * 5²

(AB)² = 2 * 5²

AB = 5√2

Since, sides AC and BC are equal,

∠A = ∠B = 45

Since, AC is perpendicular to BC,

∠A = 90

You could vote on it? There are as many ways as you can think of. It’s not set in stone.

The option that is the functions is graphed below is known as option A = Y= (x+4) -2.

The function graphed above is Y=|x+4|-2 because  when you solve for the graphs,  the number in the x-axis is always changed or turned to  the other side and there one can see that it would be -4 would be +4, and +4 and also -4.

Note that

Y = (x+4) -2.

x = (0 + 4) - 2

x = 4-2

x =2

Therefore, plug x into the equation.

Y = (x+4) -2.

= ( 2 + 4) - 2

= (6) -2

= 4

Therefore, The option that is the functions is graphed below is known as option A = Y= (x+4) -2.

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Answer:

total weight in pounds = 22 lb

Step-by-step explanation:

Let's first find out the total weight in kilograms.

total weight = 4 x 2.5 kg = 10 kg

The approximation for kilograms (kg) to pounds (lb) is 1 kg = 2.2 lb.

So if 1 kg is 2.2 lb, 10 kg is 10 times more.

10 kg = 10 x 2.2 lb = 22 lb

Answer:

3/2

Step-by-step explanation:

Answer:

Hi,

Step-by-step explanation:

[tex]\left\{\begin {array} {ccc}x&=&2*cos(t)-1\\y&=&3*sin(t)+4\\\end{array}\right.\\\\\\\left\{\begin {array} {ccc}\dfrac{x+1}{2}&=&cos(t\\\dfrac{y-4}{3}&=&sin(t)\\\end{array}\right.\\\\Squaring\\\\\boxed{(\dfrac{x+1}{2})^2+(\dfrac{y-4}{3})^2&=1}\\[/tex]

The curve is an ellipse having (-1,4) as center and half-axis (2 and 6)

The time it would take for the bacteria to reach 1119 is 5.83 hours

Given the function:

[tex]Pt= P_0e^k^t[/tex]

To find the exponential growth;

80 = [tex]50e^k^*^3[/tex]

[tex]k= 1.6/3\\k= 0.533[/tex]

If there is a constant growth, then to get to 1119:

1119= [tex]50e^0^.^5^3^3^*t[/tex]

3.8 = 0.533*t

t= 5.83 hours

Therefore, it would take 5.83 hours for the bacteria to increase to 1119.

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Answer:

[tex]5x-53+\frac{529}{x+10}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Murat can fill 6/13 kg of rice

Step-by-step explanation:

because it has 2/3 kg of rice and 3/10 each and I added 6+2 and 3+10 hope it makes your day

Answer:  Murat can fill 6/13 kg of rice

Answer:

5

Step-by-step explanation:

to find the mean you have to add up all the numbers so

1+8=9

9+3=12

12+2=14

14+8=22

22+8= 30

and then you divide by the amount of numbers which is 30 / 6 = 5

Hope This Helped

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{QUESTION READS}[/tex]

[tex]\large\textsf{Find the mean from the following data:1, 8, 3, 2, 8, 8}}[/tex]

[tex]\huge\textbf{A LITTLE BREAKDOWN OF MEAN}[/tex]

[tex]\large\text{To find the \underline{\underline{mean}} you have to ADD all of the numbers \& DIVIDE}\\\large\text{by the total numbers you have in your data plot..}[/tex]

[tex]\large\text{Here's the formula: }\large\boxed{\rm{\dfrac{the\ sum\ of\ all\ terms}{number\ of\ terms\ you\ have} = your\ \bf mean}}[/tex]

[tex]\huge\textbf{ANSWERING THE QUESTION}[/tex]

[tex]\large\text{Your equation: }\large\boxed{\rm{\dfrac{1 + 8 + 3 + 2 + 8 + 8}{6} = your \ \bf mean}}\\\\\large\boxed{\rm{\dfrac{1 + 8 + 3 + 2 + 8 + 8}{6}}}\\\\\large\boxed{\rm{= \dfrac{9 + 3 + 2 + 8 + 8}{6}}}\\\\\large\boxed{\rm{= \dfrac{12 + 2 + 8 + 8}{6}}}\\\\\large\boxed{\rm{= \dfrac{14 + 8 + 8}{6}}}\\\\\large\boxed{= \rm{\dfrac{22 + 8}{6}}}\\\\\large\boxed{= \rm{\dfrac{30}{6}}}\\\\\large\boxed{\rm{= 5}}[/tex]

[tex]\huge\textbf{MET THE ANSWER OF THE}\\\huge\textbf{QUESTION}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{5}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

D

Step-by-step explanation:

cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{r}[/tex]

Using it's formula, considering the results, it is found that the accuracy of the test is of 0.95 = 95%.

It is given by the number of correct results divided by the number of tests.

In this problem, there were 80 tests, of which 80 - 2 - 2 = 76 had correct results, hence the accuracy is given by:

A = 76/80 = 0.95 = 95%.

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Answer:

-9

Step-by-step explanation:

-6×3/2

-6×3=-18

-18/2

-9

Answer:

d)14

Step-by-step explanation:

use Pythagoras

a² = b² ,+ c²

50² = 48² + c²

2500 - 2304 = c²

196 = c²

√196 = c

c=14

Answer:

y = -3

Step-by-step explanation:

5(y+2/5) = -13

distributive property ( 5 x y is 5y, 2 divided by 5 is 0.4 x 5 is 2.)

5y + 2 = -13

take away 2 from both sides (2 is currently positive, so doing opposite)

5y + 2 - 2 = -13 - 2

divide by 5 on both sides

5y = -15

y = -3

hope this helps

Answer:

138.16

Step-by-step explanation:

Answer:

153.86 sq m

Step-by-step explanation:

Area if a circle is:

A = pi•r^2

You have diameter = 14, so the radius (the r in the formula) is HALF the diameter. The radius for your circle is 7.

Area = pi•7^2

The directions said to use 3.14 for pi and do not round.

A = 3.14•7^2

A = 3.14•49

A = 153.86m^2

The units are square meters.

The complete question is

"Segment MP is a diameter of circle O. Circle O is shown. Line segment M P is a diameter. Line segment N O is a radius. Angle N O P is 150 degrees.

Which equation can be used to find mArc M N?

mArc M N + 150 = 180, mArc M N + 150 = 360, mArc M N – 150 = 180, mArc M N – 150 = 360"

The Equation m Arc(MN) + 150  = 180 is used to find mArc MN. Thus, the correct option is A.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

It is Given:

Segment MP is the diameter of circle O. Circle O is shown.

Line segment M P is a diameter.

Line segment N O is a radius.

∠NOP = 150°

We need to Find the Equation for m Arc MN

We already know the Diameter subtends 180° as it is the half of Circle 360°

∠NOP = 150°  

∴ m(Arc NP) = 150°

The measure of an arc is the measure of its central angle

Therefore,

m Arc Diameter = 180°

m Arc(MN) + m Arc(NP)  = 180

m Arc(MN) + 150  = 180

Therefore, the Equation m Arc(MN) + 150  = 180 is used to find mArc MN.

Thus, the correct option is A.

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Answer:

3(x + 4)(x - 5) = 3x² - 3x - 60.

Step-by-step explanation:

3(x + 4)(x - 5)

Combine x + 4 and x - 5 using FOIL, or first, outer, inner, last.

F: x * x = x²

O: x * -5 = -5x

I: x * 4 = 4x

L: 4 * -5 = -20

3(x² - 5x + 4x - 20)
Simplify inside the parenthesis.

3(x² - x - 20)

Distribute the 3 into the equation.

3x² - 3x - 60

Answer:

retang gular figure of 7 ft and 12 ft

Step-by-step explanation:

i want 100 thx