the answer are...
a. -2
b. -1/2
c. 1/2
d. 2

Answer:

Thanks

Step-by-step explanation:

Thanks

The speed of Makayla and Nathan are 12 mph and 20 mph respectively.

Let the speed of Makayla is 'x' mph.

and the speed of Nathan is 'y' mph.

The total distance travelled by both is 129 miles.

The time taken by each is 6 hours, same for both.

Speed  = distance / time

Distance =  speed × time

Makayla's covered distance = xt

Nathan's covered distance = yt

Total distance = xt + yt

xt + yt = 192

As, Nathan travels 8 mph faster than makayla.

The,

y = x + 8, t = 6 hours substitute;

xt + (x+ 8)t = 192

2x + 8 = 192/6

On simplification;

x = 12 mph (Makayla's speed)

Y = x + 8

y = 12 + 8

y = 20 mph (Nathan's speed)

Therefore, the speed of Makayla and Nathan are x = 12 mph and y = 20 mph respective;y.

To know more about the speed and time, here

https://brainly.com/question/13943409

#SPJ9

Answer:

mother A1 has daughter A2, and

mother B1 has daughter B2, and

mother C1 has daughter C2, and

mother D1 has daughter D2.

Step-by-step explanation:

.

The amount of baking soda needed for a full sheet cake is 5.20 teaspoons.

A fraction is a non-integer that is made up of a numerator and a denominator that is separated by a horizontal line. The numerator is the number above the horizontal line and the denominator is the number below the horizontal line. An example of a fraction is 1/8.

In order to determine how much baking soda is needed for a full sheet cake, multiply the amount that is needed for 1/8 of the sheet cake by 8. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

Baking soda needed for a full sheet cake =  8 x 0.65 = 5.2 tablespoons

To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498

#SPJ1

Step-by-step explanation:

Bigger -smaller

hope it is helpful to you

Answer:

5

Step-by-step explanation:

The expression 5^2.5^0 is equal to 5^(2.5^0), which can be simplified as follows:

2.5^0 = 1 (because any number raised to the power of 0 is equal to 1)

So, 5^2.5^0 = 5^1 = 5

Therefore, the answer is 5.

Answer:

Step-by-step explanation:

80.000

Answer:

5(5) - 3(7) = 4

Answer:

\(P(head) = 0.5600\)

Step-by-step explanation:

Given

\(n = 500\) -- number of toss

\(head = 280\) --- outcomes of head

See comment

Required

Empirical probability of head

This is calculated as:

\(P(head) = \frac{n(head)}{n}\)

\(P(head) = \frac{280}{500}\)

\(P(head) = 0.5600\)

The flow chart is complete and the answers are given below.

Those figures that have same shape and size are called Congruent Figures.

The flow diagram will be completed as follows

∠2 ≅ ∠4 (  vertical angle theorem )

∠1   ≅  ∠2  ( Given )

∠1  ≅ ∠ 3  ( Vertical Angle Theorem)

∠3   ≅  ∠4  ( Transitive Property of congruence)

To know more about Congruent Figures on https://brainly.com/question/12132062

#SPJ1

Answer:

125 is 62.5% of 200, hope this helps :)

Answer:

\(3x-2y+8=0\)

Step-by-step explanation:

The slope of the line that goes through the points (-2, 1) and (0, 4) is

\(\frac{4-1}{0-(-2)} = \frac{3}{2}\)

The slope of the line that goes through the points (x, y) and (0, 4) is

\(\frac{4-y}{0-x} = \frac{4-y}{-x}\)

So \(\frac{3}{2}=\frac{4-y}{-x}\\-3x=2(4-y)=8-2y\\3x-2y+8=0\)

The equation of line is y = -2x + 9 , where the slope is m = -2

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the point be represented as P ( 1 , 7 )

Let the slope of the line be m = -2

And , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

y - 7 = -2 ( x - 1 )

On simplifying the equation , we get

y - 7 = -2x + 2

Adding 7 on both sides of the equation , we get

y = -2x + 9

Hence , the equation of line is y = -2x + 9

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1

Answer:

Step-by-step explanation:

\((\frac{27}{8} )^{\frac{4}{3} }\) = \([(\frac{3^3}{2^3}) ^{\frac{1}{3} }] ^4\) = \((\frac{3}{2})^4\) = \(\frac{3^4}{2^4}\) = \(\frac{81}{16}\) = \(5\frac{1}{16}\)

Answer: i think its 58.9997

Step-by-step explanation:

Answer: A. Vertical angles

Step-by-step explanation:

They are vertically opposite angles.

Correct me if I am incorrect.

The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

for such more question on slope-intercept form

https://brainly.com/question/11990185

#SPJ8

The value of the angle ∠I = 13

An isosceles triangle in geometry is one with at least two sides that are of equal length. Both having exactly two sides of equal length and having at least two sides of equal length are acceptable specifications, with the latter version containing the equilateral triangle as an exception. The faces of bipyramids, the golden triangle, the isosceles right triangle, and some Catalan solids are all examples of isosceles triangles.

in this figure, it is an isosceles triangle as two sides of the triangle are equal.

given in the ΔGHI is an isosceles triangle.

So the other two angles will be 13

Hence The value of the angle ∠I =13°

Learn more about an isosceles triangle, by the following link

brainly.com/question/1475130

#SPJ1

Answer:

She misinterpreted the 4 and 0 in both of their batting averages.

Answer:

-$20,000

Step-by-step explanation:

30% of $25,000 is $7,500 Therefore..

$7,500 x 6 = $45,000 ( 6 being the years )

$45,000 - $25,000 = $20,000

Hope this helps.

-Conrad

Answer:

a) final exam: 90.2 B     b) percent of final grade: 20 F

Step-by-step explanation:

calculator: a)86+81+96+99+89=451/5=90.2

b) 20+15+15+25+25=100/5=20

The  weighted mean of a distribution is the sum of the product of the data elements of the distribution by the proportion of each element.

The weighted mean score of the students is 90.75

To calculate the weighted mean score, we simply multiply the score of each student by the percentage grade.

So, we have:

\(Mean = 86 \times 20\% + 81 \times 15\% + 96 \times 15\% + 99 \times 25\% + 89 \times 25\%\)

This gives:

\(Mean = 17.20 + 12.15 + 14.40 + 24.75 + 22.25\)

\(Mean = 90.75\)

Hence, the weighted mean score of the students is 90.75

Read more about weighted mean at:

https://brainly.com/question/15904675

Answer:

64/100 or 0.64 :)

Step-by-step explanation:

It seems that the square has 100 small squares in total. Out of those small squares, 64 are green.

64/100 = 0.64

SOLUTION

Write out the system of equation given

Using eliminationm method, we subtract the equation above to eliminate y

hence

Then divide both sides by 8, we have

Hence

y = -4

The substitute the value of y into any of the equation above to obtain x, we have

Add 12 from both sides, we have

Hence

x=6

Therefore

Answer is x = 6, y = - 4

The equation of p(x) in vertex form is;

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

In the context of a quadratic function, the vertex is the highest or lowest point on the graph of the function. It is the point where the parabola changes direction. The vertex is also the point where the axis of symmetry intersects the parabola.

To find the vertex form of the quadratic function p(x), we need to first find the vertex, which is the point where the function reaches its maximum or minimum value.

To find the vertex, we can use the formula:

x = -b/2a, where a is the coefficient of the x²  term, b is the coefficient of the x term, and c is the constant term.

Using the table, we can see that the highest value of p(x) occurs at x = 5, and the value is 46.

We can then use the formula to find the vertex:

x = -b/2a = -5/2a

Using the values from the table, we can set up two equations:

46 = a(5)² + b(5) + c

1 = a(0)²  + b(0) + c

Simplifying the second equation, we get:

1 = c

Substituting c = 1 into the first equation and solving for a and b, we get:

46 = 25a + 5b + 1

-20 = 5a + b

Solving for b, we get:

b = -20 - 5a

Substituting b = -20 - 5a into the first equation and solving for a, we get:

46 = 25a + 5(-20 - 5a) + 1

46 = 15a - 99

145 = 15a

a = 9.67

Substituting a = 9.67 and c = 1 into b = -20 - 5a, we get:

b = -20 - 5(9.67) = -71.35

Therefore, the equation of p(x) in vertex form is:

p(x) = 9.67(x - 5)²  + 1

Simplifying, we get:

p(x) = 9.67(x²  - 10x + 25) + 1

p(x) = 9.67x²  - 96.7x + 250.85 + 1

p(x) = 9.67x²  - 96.7x + 251.85

Rounding to the nearest hundredth, we get:

p(x) = 9.67(x - 5²  + 1 = 9.67(x + 1.04)²  - 10.25

Therefore, the answer is:

p(x) = 9.67(x + 1.04)² - 10.25

The closest answer choice is:

p(x) = 3(x - 1)²  - 2, which is not correct.

To know more about vertex visit:

https://brainly.com/question/29476657

#SPJ1

Answer:

...

Step-by-step explanation:

AOM is under zero, as stated in the sequential equation

Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

Learn more about Taxes Calculations here:

https://brainly.com/question/16200743

#SPJ2

Answer:

s-64 and k-116

Step-by-step explanation: