Sandra has 10 books. She divides them into groups of 2 each. How many groups can she make?

Answer:

p = 5

Step-by-step explanation:

Subtract 3 from both sides.

3 + p = 8

-3        -3

p = 5

Answer:

5

Step-by-step explanation:

3+p=8

p=8-3

p=5

Mental Math!

Answer is given by

\(*Rosalind********\) :) ENJOY YOUR DAY!

Answer: yes

Step-by-step explanation:

If Michael mows 1/3 of the yard  then the fraction of left out yard will be 2/3.

Given that Michael mows 1/3 of the yard.

We are required to find the left out yard in terms of fraction.

Fraction is combination of two numbers ,one above the division sign and one below the division sign. The number above the division sign is called numerator and the number below the division sign is called denominator.

Fraction=Numerator/Denominator

All parts of the fraction sums out to be 1.

let the left out part be x.

x+1/3=1

x=1-1/3

x=2/3

Hence if Michael mows 1/3 of the yard  then the fraction of left out yard will be 2/3.

Learn more about fraction at https://brainly.com/question/1622425

#SPJ9

Answer:

A

Step-by-step explanation:

The y intercept is 2. The slope is -3.

Only A & C have negative slopes. So B & D are immediately eliminated.

A is the only one with a slope of -3. From the y-intercept, go down 3 and to the right 1. The only one that matches that is A.

The probability of obtaining a mean greater than M = 22 is: a. 0.50

The probability of obtaining a mean greater than 22 for a sample of n = 4 scores can be calculated using the sampling distribution of the sample mean.

The sampling distribution follows a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

By calculating the z-score for a mean of 22, we can find the corresponding area under the normal curve, which represents the probability.

Learn more about probability

brainly.com/question/32117953

#SPJ11

Answer:

Approximately 0.0364

Idk if this is right... :(

Step-by-step explanation:

4 dice with 12 sides

7 dice without 121 sides.

There is a \(\frac{4}{11}\) chance that the first dice has 12 sides.

There is a \(\frac{3}{10}\) chance that the second dice has 12 sides.

There is a \(\frac{7}{9}\) chance that the third dice doesn't have 12 sides.

There is a \(\frac{3}{4}\) chance that the fourth dice doesn't have 12 sides.

Multiply them up:

\(\frac{4}{11}*\frac{3}{10}*\frac{7}{9}*\frac{3}{4}=\frac{252}{3960}=0.0363636363636...\)

So approximately 0.0364

Answer:

A.

2, 23, 51

Step-by-step explanation:

Substitute 2, 5, and 9 for n in the function and simplify in each case.

a2=−5+(2−1)(7)=2 a subscript 2 baseline equals negative 5 plus left parenthesis 2 minus 1 right parenthesis left parenthesis 7 right parenthesis equals 2

a5=−5+(5−1)(7)=23 a subscript 5 baseline equals negative 5 plus left parenthesis 5 minus 1 right parenthesis left parenthesis 7 right parenthesis equals 23

a9=−5+(9−1)(7)=51 a subscript 9 baseline equals negative 5 plus left parenthesis 9 minus 1 right parenthesis left parenthesis 7 right parenthesis equals 51

Step-by-step explanation:

A1= 3.5×9=31.5

A2=2×2=4

A3=(1/2) × 5×2=5

A4= (1/2)×2×2=2

At=A1+A2+A3+A4

At= 31.5+4+5+2

At=42.5

Answer:

-200 =p

Step-by-step explanation:

-40 = -5p

5         5

_______

-200 = p

Answer:

y=1/2x+4

Step-by-step explanation:

to find the slope you need to know the change in y over the change in x

(0,4) and (8,8)

8-4/8-0

slope is 1/2

Answer:

Now, as you might recall, two lines are parallel when they are always the same distance apart and never intersect. y= -8 is parallel to y=3 and it passes through the point (-2, -8). The equation of this line is y= -8.

Step-by-step explanation:

Answer:

143

Step-by-step explanation:

I think that's right

Answer:

Step-by-step explanation:

The answer is 3.

X=2X-3

X+3=2X

3=2X-X

3=X

Answer:

3x < 2x + 8

Step-by-step explanation:

All of the following are measures of central tendency except the range

Mean

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

The mode, median, and mean are the three primary metrics for assessing central tendency. These metrics each give a different indication of the average or central value in the distribution.

Mode

The highest frequency of data and how many times the element is repeated in the data set is known as the mode value.

Median

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average.

Mean, median and mode are different measures of center in a numerical data set. They each try to summarize a dataset with a single number to represent a typical data point from the dataset.

When there are extremes in the sequences that might affect the average of the numbers the median is sometimes employed instead of the mean.

Thus, all of the following are measures of central tendency except the range

To learn more about Mean Median Mode visit:

brainly.com/question/15323584

#SPJ4

Hey,

\( \frac{2}{3} \div \frac{3}{4} = \frac{2}{3} . \frac{4}{3} = \frac{8}{9} \)

`Sorry if it's wrong

Good luck :)

Answer:

12.5

Step-by-step explanation:

Keep dividing by 2, 25 divided by 2 is 12.5

As a result, the solid's volume in the first octant, which is restricted by the paraboloid z = 4 + 2 x + 2 y, is 9.

We must determine the limits of integration for x, y, and z in order to determine the volume of the solid in the first octant bounded by the paraboloid z = 4 + 2x + 2y + 2 and the plane z = 10.

At z = 10, where the paraboloid and plane overlap, we put the two equations equal and find z:

4 + 2x^2 + 2y^2 = 10

2x^2 + 2y^2 = 6

x^2 + y^2 = 3

This is the equation for a circle in the xy plane with a radius of 3, centred at the origin. We just need to take into account the area of the circle where x and y are both positive as we are only interested in the first octant.

Integrating over the circle in the xy-plane, we may determine the limits of integration for x and y:

∫∫[x^2 + y^2 ≤ 3] dx dy

Switching to polar coordinates, we have:

∫[0,π/2]∫[0,√3] r dr dθ

Integrating with respect to r first gives:

∫[0,π/2] [(1/2)(√3)^2] dθ

= (3/2)π

So the volume of the solid is:

V = ∫∫[4 + 2x^2 + 2y^2 ≤ 10] dV

= (3/2)π(10-4)

= 9π

To know more about paraboloid,

https://brainly.com/question/22665814

#SPJ11

A regular hexagon has six lines of symmetry to map onto itself using reflections.

The number of lines of symmetry a hexagon have that will reflect it onto itself is 6.

The given shape is hexagon.

A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.

A hexagon has six lines of symmetry. Each line of symmetry is a line that divides the hexagon into two equal halves that are reflections of one another. When all six lines of symmetry are present, the hexagon can be reflected over itself.

Therefore, the number of lines of symmetry a hexagon have that will reflect it onto itself is 6.

Learn more about line of symmetry here:

https://brainly.com/question/30963765.

#SPJ6

The x = -2 is neither a local maximum nor local minimum, and x = 2 is a local maximum.

To find critical numbers and classify them using the First Derivative Test, follow these steps:

1. Find the first derivative (f') of the given function: y = -3x^3 + 36x.

f'(x) = -9x^2 + 36.

2. Determine critical numbers by finding where f'(x) = 0 or is undefined. In this case, solve for x:

-9x^2 + 36 = 0.

Divide both sides by -9:
x^2 - 4 = 0.

Factor the equation:
(x - 2)(x + 2) = 0.

Solve for x:
x = -2, 2.

3. Use the First Derivative Test to classify each critical number as a local maximum, local minimum, or neither. Analyze the sign of f'(x) in intervals around the critical numbers:

Interval (-∞, -2): Choose x = -3; f'(-3) = 9 > 0, which implies an increasing function.
Interval (-2, 2): Choose x = 0; f'(0) = 36 > 0, which implies an increasing function.
Interval (2, ∞): Choose x = 3; f'(3) = -9 < 0, which implies a decreasing function.

4. Classify each critical number based on the intervals:

x = -2: Function increases before and after, so neither a local maximum nor local minimum.
x = 2: Function increases before and decreases after, so it's a local maximum.

For more about local maximum:

https://brainly.com/question/10878127

#SPJ11

Answer:

Kenny found 80% of the eggs.

Step-by-step explanation:

(4 ÷ 5) × 100 = x

0.8 × 100 = x

80% = x

Kenny found 80% of the eggs.

Answer:

{0,7+) i hoped that helped yu .

Step-by-step explanation:

Answer:

It was reflected on the x axis

Step-by-step explanation:

A reflection about the x axis changes a point

\((xy) \: \: goes \: to \: ( x - y)\)

0,7 goes to 0,-7

Answer:

1. triange  2. trangle prism

Step-by-step explanation:

Answer:

A, \(\frac{5\sqrt{74}}{74}\)

Step-by-step explanation:

Cosine of an angle is equal to the adjacent side of that angle over the hypotenuse of the triangle. Since the adjacent side is 5, and the hypotenuse is √74, the value is 5 / √74.

However, we can't have radicals (square roots) in the denominator, so we multiply the top and bottom by √74 so that the radical goes on the top.

Answer:

A. x = 1/4

Step-by-step explanation:

Simplify the equation:

(3x^2+1)/(x-1) + x = 4 + 4/(x-1)

(3x^2+1-4)/(x-1) = 4-x

(3x^2-3)/(x-1) = 4-x

Since (3x^2-3) = 3(x^2-1) and x^2-1 = (x+1)(x-1), substitute 3x^2-3 for 3(x+1)(x-1)

3(x+1)(x-1)/(x-1) = 4-x

Cancel (x-1) from the numerator and denominator:

3(x+1) = 4-x

Isolate x:

3(x+1) = 4-x

3x+3 = 4-x

4x = 1

x = 1/4.

x = 1/4 is the only valid solution unless both sides being undefined would count as a valid equation, then x = 1 would also be valid.

Answer:

3aw 3aw 3aw 3aw 3aw 3aw 3aw

The coordinates of the vertices of the transformed triangle are A''(10, 1), B''(11, -2), and C''(8, -1).

To reflect triangle ABC over the line x = -6, we need to change the sign of the x-coordinate of each vertex.

The reflected coordinates of the vertices will be:

A' = (-(-5), 2) = (5, 2)

B' = (-(-6), -1) = (6, -1)

C' = (-(-3), 0) = (3, 0)

To translate the reflected triangle by the directed line segment from (0, 0) to (5, -1), we add the corresponding values to the x and y coordinates of each vertex:

A'' = (5 + 5, 2 + (-1)) = (10, 1)

B'' = (6 + 5, -1 + (-1)) = (11, -2)

C'' = (3 + 5, 0 + (-1)) = (8, -1)

Therefore, the coordinates of the vertices of the transformed triangle are A''(10, 1), B''(11, -2), and C''(8, -1).

Learn more about Transformation here:

https://brainly.com/question/11709244

#SPJ1

The given differential equation is not exact. To determine if a differential equation is exact, we need to check if its partial derivatives satisfy a specific condition.

In this case, the given equation is dy/dx = 9xe^x – y + 6x^2. Let's find the partial derivatives of the expression on the right-hand side with respect to y and x.∂/∂y (9xe^x – y + 6x^2) = -1∂/∂x (9xe^x – y + 6x^2) = 9e^x + 12x

The condition for exactness is that these partial derivatives are equal: ∂/∂y (∂/∂x) = ∂/∂x (∂/∂y). However, in this case, we have -1 ≠ 9e^x + 12x, which means the equation is not exact.As the equation is not exact, we cannot directly solve it by finding a potential function. Other methods, such as using integrating factors or applying specific techniques for solving non-exact equations, may be required.

Learn more about  partial derivatives click here: brainly.com/question/32554860

#SPJ11

To verify whether the languages of two regular expressions r and s are equal, we can follow these steps:

Construct the finite automata for r and s.

Convert both the finite automata to their corresponding deterministic finite automata (DFA).

Minimize the DFAs obtained in step 2.

Compare the minimized DFAs to check if they are equivalent.

If the DFAs are equivalent, then the languages of r and s are also equal.

Alternatively, we can directly compare the regular expressions r and s by using the following algorithm:

Convert both r and s to their equivalent minimal deterministic finite automata (DFA).

Construct the product DFA of the two DFAs obtained in step 1.

Check if the accepting states of the product DFA correspond to the same regular expressions in r and s.

If the accepting states correspond to the same regular expressions, then l(r) = l(s). Otherwise, l(r) ≠ l(s).

Note that the above algorithm may not be efficient for larger regular expressions, and in such cases, constructing the minimal DFAs may be a more practical approach.

Learn more about expressions here:

https://brainly.com/question/28170201

#SPJ11

Answer:

The possibilities are;

1 and 28

2 and 14

4 and 7

Step-by-step explanation:

Here, we are told that the other two numbers can be multiplied to give 28

So now, we have to look for the multiples of 28

These are;

1,2,4,7,14 and 28

In multiples, these can be

28 and 1

2 and 14

4 and 7