. Elena and Marcus jog after school each day. One
day, Elena and Marcus jogged a total of 15 miles.
Elena jogged 1 mile more than Marcus. Use a graph
to find the number of miles each person jogged.

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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Answer:

B and C

Step-by-step explanation:

The square for the function; \(y = x^2 + 6x +7\) . Hence, the Vertex form of the function is \((x + 3)^2 - 2\). The function will be zero at  x = 3- √E

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.

The square for the function;

\(y = x^2 + 6x +7\)

Minimum = -2 at x = -3

Hence, the Vertex form of the function is \((x + 3)^2 - 2\).

The function will be zero at  x = 3- √E

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Answer:

3 pigs

Step-by-step explanation:

First split the shape into two rectangles to find the area. On the left you can make the rectangle 10*7 and on the right subtract 7 from 16 to get 9 so the one on the right is 9*6. Find the area of both rectangles by multiplying, which will get you 70 and 54 respectively. Add these to get 124 square meters of space in the field. Now you will have to divide it by 36 to see how many pigs can fit, which results in the answer 3.4444... Round down to get 3 pigs as you can not fit another pig in the .4444... of space.

Answer:

\(2\sqrt{14}\)

D.

Step-by-step explanation:

10 in half is 5

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

b = \(\sqrt{81 - 25}\) = \(\sqrt{56}\) = \(2\sqrt{14}\)

Answer:

cos C = 7/25

Step-by-step explanation:

(cos C = opposite side divided by the hypotenuse)

cos C = 7/25

So, approximately, the main entrance and the kitchen are 4.47 yards apart by distance equation.

The distance formula is used to calculate the distance between two points in a coordinate plane. The formula is based on the Pythagorean theorem and involves finding the square root of the sum of the squares of the differences in the x-coordinates and the y-coordinates of the two points.

In this case, we are given two points: (-9, 8) and (-5, 6). To find the distance between these two points, we can plug the coordinates into the distance formula, which gives us:

distance = √[(x2 - x1)² + (y2 - y1)²]

where x1 and y1 are the coordinates of the first point and x2 and y2 are the coordinates of the second point.

Plugging in the given coordinates, we get:

distance = √[(-5 - (-9))² + (6 - 8)²]

which simplifies to:

distance = √[4² + (-2)²]

The square of 4 is 16, and the square of -2 is also 4 (since the negative sign is squared away), so we can simplify further:

distance = √[16 + 4]

distance = √[20]

Finally, we take the square root of 20 to get the distance:

distance ≈ 4.47 yards.

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Answer:

F (Answer): 100%

The entire left circle are numbers and the right is all letters

G (Answer): 0%

There is no multiple of 4

Answer:x=5, y=-4

Step-by-step explanation:2x+9y = -26

-3x-7y = 13

Multiply the first equation by 3

3(2x+9y = -26)

6x +27y = -78

Multiply the second equation by 2

2(-3x-7y = 13)

-6x -14y = 26

Add these two equations together

6x +27y = -78

-6x -14y = 26

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

13y = -52

Divide by 13

13y/13 = -52/13

y = -4

Now we need to find x

2x+9y = -26

2x+9(-4) = -26

2x-36=-26

Add 36 to each side

2x-36+36 = -26+36

2x=10

Divide by 2

2x/2 =10/2

x=5

Answer:

Slope is 0

Step-by-step explanation:

Slope is the change in the y coordinate over the change in the x coordinate so:

(-3 - -3)/ (1 - -9) = 0/10

this is a horizontal line

Answer:

x = 3

Step-by-step explanation:

4 ( x - 7 ) = -6x + 12

→ Expand brackets

4x - 28 = -6x + 12

→ Add 6x to both sides

10x - 28 = 12

→ Add 28 to both sides

10x = 30

→ Divide both sides by 10

x = 3

After solving, the height in feet of the sixth bounce is 1.892 feet.

In the given question, we ave to find the height, in feet, of the sixth bounce.

From the given question,

Height on the first bounce = 6.7

Subsequent bounce reaches a height of the previous bounce = 81%

Suppose the height is h.

So according to the question:

h(6) = height on the first bounce*(subsequent bounce reaches a height of the previous bounce)^6

h(6) = 6.7*(81%)^6

h(6) = 1.892 feet

So the height of sixth bounce is 1.892 feet.

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Answer: 3/4

Step-by-step explanation:   Find the reciprocal of the divisor

Reciprocal of 20/27: 27/20

Now, multiply it with the dividend So, 5/9 ÷ 20/27 = 5/9 × 27/20=  5 × 27/9 × 20 = 135/180

After reducing the fraction, the answer is

3/4

The missing end point A if the midpoint of the line segment AC is B (-3,2) and C is (0,4) is (-6, 0)

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

Therefore, the mid point between AC is B.

Using mid point formula we can find the end point of A.

Hence,

(x, y) = (x₁ + x₂ / 2,  y₁ + y₂ / 2)

Therefore, B(-3, 2) and C(0, 4)

(-3, 2) = (x₁ + 0 / 2, y₁ + 4 / 2)

Hence,

(-3, 2) = ( x₁ / 2, y₁ + 4 / 2)

x₁ / 2 = -3

cross multiply

x₁ = - 3 × 2

x₁  = -6

y₁ + 4 / 2 = 2

cross multiply

y₁ + 4 = 4

y₁  = 4 - 4

y₁  = 0

The missing endpoint A is (-6, 0)

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Answer: 64.2 ft^2

Step-by-step explanation: to find the answer we know that the parallelogram area is A= bh we see that they are trying to trick us by separating the base we have to add the base together and we then get 10.7 that is the base we then see that the height is 6 and we multiply them together and get the answer.

Answer: Sixth throw is 6

Step-by-step explanation: Let sixth throw be 'x'

1+5+3+5+1+x/6=3.5

15+x=3.5*6

15+x=21

x=6

Answer:3

Step-by-step explanation: literally just subtract 2 each time its not hard

Answer:

m<y=50

Step-by-step explanation:

The total interior angles of a triangle is 180 degrees. This is a right triangle, the right angle measures 90 degrees. The given angle is 40 degrees.

Add 90 and 40.

90+40=130

Subtract 130 from 180.

180-130=50

m<y=50

Check:

90+40+50=180

90+90+180

180=180

Answer:

50°

Step-by-step explanation:

Answer:

660

Step-by-step explanation:

Ripley = 1,750

West Union = 3,241

Georgetown = 4,331

Add Ripley and West Union populations together:

1750 + 3241 = 4991

It wants to know how much more the combined populations are than Georgetown so subtract Georgetown from the combined population:

4991 - 4331 = 660

Answer:

x ≤ 1

Step-by-step explanation:

5(x+3) - 7≤13

5x+3 - 7≤ 13

5x+15-7 ≤ 13

5x+15 ≤ 13+7

5x+15 ≤ 20

5x ≤ 20-15

5x ≤ 5

x  ≤ 1

The variables of the test statistic can be concluded as \(s_{1} ^{2}\), \(s_{2} ^{2}\) as the variance of two samples, \(n_{1}\), \(n_{2}\) as the respective size of the two samples, \(t\) as the t-distribution test statistic, and \(x_{1}\), \(x_{2}\) as the mean of the two samples.

It is given to us that the test statistic is used for a two sample test of means where the population variances are unknown and unequal.

Pooled standard deviation estimates cannot be used when the two groups have unequal variances. Instead, we have to find out the standard error for each group separately.

The formula for this type of test statistic is given by -

\(t=\frac{x_{1} -x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1} } +\frac{s_{2} ^{2} }{n_{2} } } }\) ------- (1)

Here, the variables can be defined as below -

\(s_{1} ^{2}\), \(s_{2} ^{2}\) = The variance of two samples

\(n_{1}\), \(n_{2}\) = The respective sizes of the two samples

\(t\) = t-distribution test statistic

\(x_{1}\), \(x_{2}\) = Mean of the two samples

Thus, the variables of the test statistic can be concluded as \(s_{1} ^{2}\), \(s_{2} ^{2}\) as the variance of two samples, \(n_{1}\), \(n_{2}\) as the respective size of the two samples, \(t\) as the t-distribution test statistic, and \(x_{1}\), \(x_{2}\) as the mean of the two samples.

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Answer:

200.96 (pi)= 631.33

200.96. (3.14)=631.01

Step-by-step explanation:

when you use (pi) the answer is 631.33

but if you use (3.14) the answer is 631.01

that's mean than the answer change

Answer:

the caffeine??

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

work is pictured and shown

To find all the zeros of the function f(x) = x^3 - 3x^2 + 4x - 2 and write f(x) in factored form, we can use the Rational Root Theorem.

What is the Rational Root Theorem?

If we have a polynomial with integer coefficients, we can use the Rational Root Theorem to find all of the possible rational roots (solutions) of the polynomial. The Rational Root Theorem says that if a polynomial has a rational root p/q (where p and q are integers), then p must be a factor of the constant term of the polynomial (the term without x), and q must be a factor of the leading coefficient of the polynomial (the coefficient of the highest power of x).

To apply the Rational Root Theorem to the function f(x) = x^3 - 3x^2 + 4x - 2, we look at the constant term (-2) and the leading coefficient (1) of the polynomial to find all of the possible rational roots. The possible rational roots are: ±1, ±2.

First, let's try x = 1 as a possible root. We can use synthetic division to see if it's a zero:

1 | 1 -3 4 -2

| 1 -2 2

|__________

1 -2 6 0

There is no remainder, so x = 1 is a zero of the function. Now, we can use synthetic division again to factor out (x - 1):

(x - 1)(x^2 - 2x + 6)

To find the remaining zeros, we can solve the quadratic equation x^2 - 2x + 6 = 0 using the quadratic formula:

x = (2 ± √(2^2 - 4(1)(6))) / (2(1))

x = (2 ± √(-20)) / 2

x = 1 ± i√5

The zeros of f(x) are:

x = 1, x = 1 + i√5, x = 1 - i√5

So, we can write f(x) in factored form as:

f(x) = (x - 1)(x - (1 + i√5))(x - (1 - i√5))

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The value of the number is 3. The problem is best represented by the equation: (1/3)(x - 5) = -2/3.

In mathematics, an equation is a statement that two expressions are equal. It consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), connected by an equal sign (=). The expressions on both sides of the equal sign can be numbers, variables, functions, or a combination of these.

The purpose of an equation is to represent a relationship or a condition between two or more quantities, and to find the values of the unknown variables that satisfy the equation.

The issue may be described mathematically as follows:

(1/3)(x - 5) = -2/3

where x is the unknown number.

To find x, we can begin by simplifying the left side of the equation:

(1/3)(x - 5) = -2/3

x - 5 = -2

x = 3

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