Mikayla and her two friends made a pizza and cut it into 8 equal sized slices. Of makayla and her friends ate 5 slice of pizza what decimal represents the portion of pizza that remains

Answer:

C.5

Step-by-step explanation:

y = (x - 3)^2

This is in the form y= a(x-h)^2 +k  where (h,k) is the vertex

The vertex is at (3,0)

y = x^2 - 4

This is in the form y= a(x-h)^2 +k  where (h,k) is the vertex

The vertex is at (0,-4)

The distance between the points is found by

d = sqrt( (x2-x1)^2 + (y2-y2)^2)

  = sqrt(( 0-3)^2 + (-4-0)^2)

  = sqrt( 9 + 16)

  = sqrt(25)

   = 5

We know three things:

Angle1 = 90 degrees

Angle2 = 28 degrees

Side = 350 ft

So this means, we are dealing with an AAS triangle (angle, angle, side).

To find side x:

X / sin(90degrees) = 350ft / sin(28degrees)

X = (350ft • sin(90degrees)) / sin(28degrees)

X = 745.5...

=746ft

Makes sense? This is how you solve a AAS triangle. I’m not sure if it’s 100% but, good luck!

[tex]\displaystyle\\\frac{22}{10}=\frac{x}{12}=\frac{33}{y}\\\\\frac{22}{10}=\frac{x}{12}\implies~x=\frac{22\times12}{10}=\frac{264}{10}=\boxed{\bf26.4}\\\\\frac{22}{10}=\frac{33}{y}\implies~y=\frac{10\times33}{22}=\frac{10\times3}{2}=5\times3=\boxed{\bf15}[/tex]

Answer:

2×1082×103

Step-by-step explanation:

Just took the unit test. Image as proof

Answer:

The correct option is 3.

Step-by-step explanation:

It is given that the buckets have a height of 25 inches and a diameter of 10 inches.

The volume of a cylinder is

[tex]V=\pi r^2h[/tex]

[tex]V_1=\pi (\frac{10}{2})^2(25)[/tex]

[tex]V_1=\pi (5)^2(25)[/tex]

[tex]V_1=625\pi[/tex]

[tex]V_1=1963.49540849[/tex]

The scientific notation is

[tex]V_1=1.963\times 10^3[/tex]

[tex]V_1\approx 2\times 10^3[/tex]

The warehouse is 100 feet long, 50 feet wide, and 20 feet long.

1 feet = 12 inches

The volume of a cube is

[tex]V=length\times breadth \times height[/tex]

Using the above conversion the volume of cube in cubic inches is

[tex]V_2=(100\times 12)\times (50\times 12)\times (20\times 12)[/tex]

[tex]V_2=172800000[/tex]

The scientific notation is

[tex]V_2=1.728\times 10^8[/tex]

[tex]V_2\approx 2\times 10^8[/tex]

The number of buckets of rocks she could store in a warehouse is

[tex]n=\frac{V_2}{V_1}[/tex]

[tex]n=\frac{2\times 10^8}{2\times 10^3}[/tex]

Therefore the correct option is 3.

ANSWER

EXPLANATION

The circumference of a circle is calculated using the formula:

[tex]C=2\pi \: r[/tex]

From the question, the radius of the circle is 10 inches.

We substitute the radius into the formula to get:

[tex]C=2\pi \times 10[/tex]

Let us multiply out to get:

[tex]C=20 \pi \: in[/tex]

The question required that we leave the answer in terms of π.

The correct choice is C.

Answer:

Step-by-step explanation:

Answer:

-3.8, 3

Step-by-step explanation:

The solution to a system is where the graph cross each other.  If you look to where they intersect to the left of the origin, where x is negative, it appears that they intersect ALMOST at -4, but not quite.  So -3.8 is going to have to do since we don't have the equations of either graph to find the exact values of x.  To the right of the origin, where x is positive, the graphs cross where x = 3..

Answer:

  x = −3.8, 3

Step-by-step explanation:

The solutions to f(x) = g(x) are the x-coordinates of the points of intersection of their graphs. Those x-values appear to be about -3.8 and +3.

Answer:A. 140

Step-by-step explanation:

1/2(5)(7)(8)

Answer: The answer is C. it would change orientation and slant down.

Step-by-step explanation:

The two lines are just mirror images of each other. In this case, the slope is just the opposite, causing it to be the way it is. The y intercept is the same which also causes the mirror imaging.

Answer:

It would change orientation and slant down.

Step-by-step explanation:

a. Parameterize [tex]C[/tex] by

[tex]\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath[/tex]

with [tex]0\le t\le1[/tex].

b/c. The line integral of [tex]\vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath[/tex] over [tex]C[/tex] is

[tex]\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt[/tex]

[tex]=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt[/tex]

[tex]=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt[/tex]

[tex]=\displaystyle10\int_0^1\mathrm dt=\boxed{10}[/tex]

d. Notice that we can write the line integral as

[tex]\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)[/tex]

By Green's theorem, the line integral is equivalent to

[tex]\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy[/tex]

where [tex]D[/tex] is the triangle bounded by [tex]C[/tex], and this integral is simply twice the area of [tex]D[/tex]. [tex]D[/tex] is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

A vector parametric equation was computed for the line segment between the points P and Q. This was used to compute the line integral of the vector field along the segment, which was found by substituting the parametrization into the field, deriving it and computing the dot product and integral. The clockwise integral around the triangle was then computed as the negative of the one we obtained earlier.

To solve this, consider the given points as vectors, i.e., ℒ = <5,0> and № = <0,2>. First, let's find a vector parametric equation ℝ(τ) for the line segment cc. To do this, we're going to create a vector equation that shows the progression from point ℒ to № with 0 ≤ τ ≤ 1.

Since t changes from 0 to 1, an equation for that movement is ℝ(τ) = (1-τ) * ℒ + τ * №. With insertions, the equation converts to ℝ(τ) = (1-τ) * <5,0> + τ<0,2> = <5-5t,2t>.

For the line integral Along C, our F(x, y) = -yi + xj, when we substitute our ℝ(τ) into this equation, our F becomes F(ℝ) = -2ti + (5-5t)j.

Derivation of ℝ(τ) will give us the rate of change of our function and help in the computation of the line integral. So, ℝ'(τ) = -5i + 2j. The integrand function for line integral then becomes F(ℝ) . ℝ'(τ) = -10t + 10t - 10t2. So our line integral ∫F .  dℝ from 0 to 1 will be ∫ (-10t + 10t - 10t2) dt.

For the clockwise integral around the triangle, since our original line integral was done in a counterclockwise direction, it will simply be the negative of the one we just computed.

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Answer: 35,190

Step-by-step explanation: If you multiply these together your product will be 35,190

Answer:

D. Hot tub

Explanation:

1000 L is equal to about 246 gallons and even a deep bathtub couldn't hold that much water.

p.s. Loving your username

Answer:

A. 110

Step-by-step explanation:

Angles 4 and 6 are supplementary so if we add them together they will equal 180.

(5a + 10)° + (3a + 10)° = 180°

Simplify a bit to get 8a + 20 = 180

and 8a = 160.

a = 20.  Now sub that value of a into the expression for angle 4:

5a + 10 --> 5(20) + 10 = 110°

Answer:

Option A.

Step-by-step explanation:

Given information: m║n, [tex]m\angle 4=(5a+10)^{\circ}[/tex] and  [tex]m\angle 6=(3a+10)^{\circ}[/tex].

If a transversal line intersect two parallel lines, then the interior angles on the same sides are supplementary angles. It means their sum is 180.

From the given figure it is clear that angle 4 angle 6 are interior angles on the same side. So, angle 4 and 6 are supplementary angles.

[tex]m\angle 4+m\angle 6=180^{\circ}[/tex]

[tex](5a+10)+(3a+10)=180[/tex]

On combining like terms we get

[tex](5a+3a)+(10+10)=180[/tex]

[tex]8a+20=180[/tex]

Subtract 20 from both sides.

[tex]8a+20-20=180-20[/tex]

[tex]8a=160[/tex]

Divide both sides by 8.

[tex]a=20[/tex]

The value of a is 20.

[tex]m\angle 4=(5a+10)^{\circ}\Rightarrow 5(20)+10)^{\circ}=110^{\circ}[/tex]

Therefore, the correct option is A.

Answer:

x = 6.6 cm

Step-by-step explanation:

The angle formed on the circle by the radius and the tangent is right.

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Hypotenuse is (x + 8.45) and 2 sides are x and 13.5, thus

(x + 8.45)² = x² + 13.5² ← expand left side

x² + 16.9x + 71.4025 = x² + 182.25 ( subtract x² from both sides )

16.9x + 71.4025 = 182.25 ( subtract 71.4025 from both sides )

16.9x = 110.8475 ( divide both sides by 16.9 )

x ≈ 6.6 cm

bearing in mind that the derivative of s(t) is s'(t) = velocity, thus

[tex]\bf s(t)=-2-6t\implies \left. \cfrac{ds}{dt}=-6 \right|_{t=2}\implies -6[/tex]

namely a negative rate, so the object is slowing down to a stop.

Answer:

the instantaneous velocity at t = 2 is -6

Step-by-step explanation:

The position of an object at time t is given by s(t) = -2 - 6t

To find instantaneous velocity we take derivative s'(t)

s(t)= -2-6t

s'(t)= 0 -6=-6

To find instantaneous velocity at t= 2, we plug in 2 for t

there is no 't' in s'(t)

so s'(2)= -6

the instantaneous velocity at t = 2 is -6

the third one bc the data range is x and the frequency is y so just match 0-10 w 5 as it’s y value and see if it matches on the graph and keep doing it for 10-20 make sure it’s y value is 10 then 20-30 it’s y value is 25 and so on

We are given the data range and frequency of the data set as follows:

       Data Range:            Frequency:

           0-10                            5

           10-20                          10

           20-30                         25

           30-40                          15

           40-50                            10

This means that the first bar is of the smallest height  and the height of first bar is: 5

The second bar is greater than the first with ha height of 10

The third bar has the highest height of 25

and then the fourth bar is smaller than the third bar with a height of 15 and the fifth bar has a height of 10.

Hence, the histogram that matches the data set is the figure attached to the answer.

Final answer:

The function print_total_inches is defined to calculate the total number of inches by converting feet to inches and adding any extra inches. It multiplies the number of feet by 12 (since there are 12 inches in a foot) and adds the number of inches to get the total.

Explanation:

To define the function print_total_inches, we need to convert both feet and inches to inches only, since there are 12 inches in a foot. For the parameters num_feet and num_inches, the total number of inches is given by the formula total_inches = num_feet * 12 + num_inches. Here's an example of how the Python function might look:

   def print_total_inches(num_feet, num_inches):
       total_inches = num_feet * 12 + num_inches
       print('Total inches:', total_inches)

When you call print_total_inches(5, 8), it will output "Total inches: 68" because 5 feet is equivalent to 60 inches (5 x 12), and adding the additional 8 inches gives us a total of 68 inches.

Answer:

15-6+7=16. The expression should be written as 15-(6+7).

Step-by-step explanation:

The sum of 6 and 7 is (6+7). 15 minus the sum of 6 and 7 would then be written as 15-(6+7), because this way you subtract the entire sum from 15. The expression 15-6+7 just subtracts 6 from 15, then adds 7 onto this number, which is not the same thing as subtracting 6+7 from 15.

The expression 15 - 6 + 7 does not represent '15 minus the sum of 6 and 7'. The correct expression should be 15 - (6 + 7). Evaluating Harper's expression gives 16, while the correct expression gives 2.

The expression 15 - 6 + 7 does not properly relay the concept of '15 minus the sum of 6 and 7'. To correctly express this idea, parentheses should be used: 15 - (6 + 7).

To evaluate Harper's expression, one would operate in the order of their entry: 15 - 6 is 9, then, add 7 to 9 and the result is 16.

However, in the correct expression 15 - (6 + 7), the sum of 6 and 7 equals 13 is computed first, according to the order of operations (PEMDAS/BODMAS). Then, subtract this sum from 15 to get 2.

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Answer:

E. Investigating how the amount of annual precipitation affects the distribution of a tree species.

Step-by-step explanation:

Abiotic factors are factors in an ecosystem that are non-living. Abiotic factors include water, soil, temperature, light, and air. Among all the choices, only choice E considers an abiotic factor, which is precipitation.

Precipitation is water, and as mentioned earlier, water is an abiotic factor. The case here is the study of the annual precipitation and effects on distribution of species. The study is specific to the precipitation.

The other choices involve biotic factors, like food source, the organisms and the like.

Answer: 82

Simply pug in 6 for [tex]x[/tex]

[tex]2(6)^2+5\sqrt{(6-2)} \\72+5\sqrt{4} \\72+5(2)\\72+10=\\82[/tex]

Hope this helps and have a great day!!!

[tex]Sofia[/tex]

For this case we have a function of the form [tex]y = f (x).[/tex]

Where:[tex]f (x) = 2x ^ 2 + 5 \sqrt {x-2}[/tex]

We must find the value of the function when x = 6, that is, f (6):

Then, replacing the value of "x"[tex]f (6) = 2 (6) ^ 2 + 5 \sqrt {6-2}\\f (6) = 2 * 36 + 5 \sqrt {4}\\f (6) = 72 + 5 (2)\\f (6) = 72 + 10\\f (6) = 82[/tex]

So, [tex]f (6) = 82[/tex]

ANswer:

[tex]f (6) = 82[/tex]

Answer:

See below.

Step-by-step explanation:

Neither are correct:  a parallelogram with 3 congruent sides could be a square. Also a parallelogram will  have 2 pairs of congruent sides  but it does not have to be a rhombus.

Answer with explanation:

A rhombus has all sides equal that is four congruent sides.

Statement of Claire

 If she draws a parallelogram with 2 congruent sides, it must be a rhombus.

As Rhombus has four Congruent sides.2 Congruent sides does not Guarantee that the Parallelogram will be Rhombus.If Adjacent sides are congruent than Claire statement will be right otherwise not.

Statement of Jacob

If Jacob draws a parallelogram with at least 3 congruent sides ,it must be a rhombus.

Yes ,three congruent sides Guarantees that Parallelogram will be a rhombus because in a Parallelogram opposite sides are equal to each other.So congruency of three sides in a Parallelogram guarantees that this Parallelogram will be a rhombus.

So, we can Conclude that Jacob is correct.

Answer:

x      f(x)=1.5^x     Function(x,f(x))     Inverse(f(x), x)    

0      (1.5)^0=1            (0, 1)                      (1, 0)

1             b                     a                           c

-1            l                      e                           g

2            f                      h                            i

4            o                     k                           d

.

Answer:

Functions and x abcd

Step-by-step explanation:

Answer:

Select Yes or No to tell whether each method results in a random sample of the population.

1. The owner uses a database to print the names of all clients on slips of paper. The owner chooses 20 of the slips of paper without looking.- yes

3. The owner sends a survey to every client who spent more than $500 with the catering company in the past year. - no

4. The owner sends a survey to all clients whose phone number ends in 5.- yes

5. The owner sends a survey to the last 20 clients who used the catering company's services.- yes

Answer:

C

Step-by-step explanation:

The Hypotenuse is y

The side opposite the given angle (60o) is 12.

You must use one of the trig functions to relate the angle, the side opposite and the hypotenuse.

It turns out that the function you need to use is the sine.

angle = 60o

Side opposite = 12 cm

hypotenuse = h = ???

Sin(60o) = opposite / hypotenuse  multiply both sides by the hypotenuse.

hypotenuse * sin(60o) = side opposite

Divide by sin(60o)

hypotenuse = side opposite / sin(60)

hypotenuse = 12/sin(60)

Sin(60) radical form = sqrt(3)/2

hypotenuse = 12 // sqrt(3)/2

hypotenuse = 24 // sqrt(3)   Rationalize the denominator.

hypotenuse = 24 * sqrt(3) // ( (sqrt(3)*sqrt(3) )

hypotenuse = 8 sqrt(3)

C

Answer:

Values of x are 4i, -4i, 5 and -5

Step-by-step explanation:

[tex]3x^4+27x^2 + 1200[/tex] We need to find all the zeros (roots) of the above equation.

Let assume that x^4 = u^2 and x^2 = u

Putting values of x^4 and x^2 in the above equation and finding the value of u.

[tex]-3u^2 + 27u+1200=0\\Using \,\,quadratic\,\,equation\,\,to\,\,solve:\\u=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\where\,\, a= -3, b= 27 \,\,and\,\, c=1200\\u=\frac{-(27)\pm\sqrt{(27)^2-4(-3)(1200)}}{2(-3)}\\u=\frac{-27\pm\sqrt{729+14,400}}{-6}\\u=\frac{-27\pm\sqrt{729+14,400}}{-6}\\u=\frac{-27\pm\sqrt{15129}}{-6}\\u=\frac{-27\pm123}{-6}\\so, \,\, u = \frac{-27+123}{-6} \,\, and \,\, u  \frac{-27-123}{-6}\\u= -16 \,\, and \,\, u = 25[/tex]

So, values of u are -16 and 25

Putting back the value of u i.e, x^2

x^2 = -16 and x^2 =25

solving

Taking square root on both sides:

√x^2 =√-16 and √x^2 = √25

x = ± 4i (as √-1 =i) and x = ±5

So, values of x are 4i, -4i, 5 and -5.

Answer:

[tex]P(A^c)=\frac{3}{7}[/tex]

Step-by-step explanation:

We have been given a table containing a list of few places that are either city or in North America.

Total number of places in that list = 7

That means sample space has 7 possible events.

Given that a place from this table is chosen at random. Let event A = The place is a city.

Now we need to find about what is [tex]P(A^c)[/tex].

That means find find the probability that chosen place is not a city.

there are 3 places in the list which are not city.

Hence favorable number of events = 3

Then required probability is given by favorable/total events.

[tex]P(A^c)=\frac{3}{7}[/tex]

Answer:

the answer is 3/7

Step-by-step explanation:

C.) mean > median

Hope this helps chu

From the following set of data, statement C is true. Option C is correct.

The mean is the proportion of the total number of observations to the sum of the observations.

The median is a number for an organized data set (in ascending or descending order) that has the same number of observations on both sides.

11, 11, 12, 13

The mean of the data set is found as;

mean = (11+11+12+13)/4

mean=47/4

mean=11.75

The median of the data set is;

Arrange the numbers in the ascending order;

11, 11, 12, 13

median= (11+12)/2

median=11.5

mean > median

From the following set of data, statement C is true.

Hence, option C is correct.

To learn more about the mean and median, refer:

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Answer:

0.66

Step-by-step explanation:

24.95 x 25%=6.23

24.94 - 6.23 = 18.72

25.80 x 30% = 7.74

25.80 - 7.74 = 18.06

18.72 -18 .06 = 0.66

For this case we have:

Store 1:

We propose the following rule of three:

24.95 -----------> 100%

x -------------------> 25%

Where the variable x represents the discount amount:

[tex]x = \frac {25 * 24.95} {100}\\x = 6.2375[/tex]

Thus, the price of the ball is:

[tex]24.95-6.2375 = 18.7125[/tex]

Store 2:

We propose the following rule of three:

25.80 -----------> 100%

x -------------------> 30%

Where the variable x represents the discount amount:

[tex]x = \frac {30 * 25.80} {100}\\x = 7.74[/tex]

Thus, the price of the ball is:

25.80-7.74 = 18.06

Thus, the price difference is:

[tex]18.7125-18.06 = 0.6525[/tex]

ANswer:

0.6525

Answer:

Final answer is [tex]P(B|A) = 0.25[/tex].

Step-by-step explanation:

We have been given values of

P(A) = 0.40, P(B) = 0.50, and  P(A and B) = 0.10

Now we need to find about what is the value of P(B/A).

Apply formula [tex]P (A \, and \, B)=P(A) \times P(B|A)[/tex]

Plug the given values into above formula:

[tex]P (A \, and \, B)=P(A) \times P(B|A)[/tex]

[tex]0.10 =0.40 \times P(B|A)[/tex]

[tex]\frac{0.10}{0.40} =P(B|A)[/tex]

[tex]0.25 =P(B|A)[/tex]

[tex]P(B|A) = 0.25[/tex]

Hence final answer is [tex]P(B|A) = 0.25[/tex].

It looks like you're given

[tex]g(x)=\displaystyle\int_{6x}^{7x}\frac{u^2-1}{u^2+1}\,\mathrm du[/tex]

Then by the additivity of definite integrals this is the same as

[tex]g(x)=\displaystyle\int_0^{7x}\frac{u^2-1}{u^2+1}\,\mathrm du-\int_0^{6x}\frac{u^2-1}{u^2+1}\,\mathrm du[/tex]

(presumably this is what the hint suggests to use)

Then by the fundamental theorem of calculus, we have

[tex]\dfrac{\mathrm dg}{\mathrm dx}=7\dfrac{(7x)^2-1}{(7x)^2+1}-6\dfrac{(6x)^2-1}{(6x)^2+1}=\dfrac{1764x^4+169x^2-1}{1764x^4+85x^2+1}[/tex]

The Fundamental Theorem of Calculus Part 1 states the relationship between differentiation and integration. For a given function, transform the integral as hinted in the question, then use the theorem to differentiate the function by simply replacing the variable of integration with the upper limit of the integral.

The Fundamental Theorem of Calculus Part 1 is primarily used to identify the relationship between differentiation and integration, which are two basic operations in calculus. For a given function g(x) = ∫7x u² − 1 u² + 1 du from a to x, we first identify the function inside the integral, let's say f(u) = 7x u² − 1 u² + 1. Now, the mentioned integral transformation hints us that: 7x ∫f(u) du from 6x to 0 equals ∫f(u) du from 6x to 0 + ∫7x f(u) du from 0 to 6x.

Next, we simply differentiate g(x) using Part 1 of the Fundamental Theorem of Calculus, which states that if g(x) is the integral from a to x of f(t) dt, then the derivative of g(x) is f(x). So, by applying this, the derivative function g'(x) of given g(x) will be f(x), i.e., 7x x² − 1 x² + 1.

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Answer:

The correct answer option is true.

Step-by-step explanation:

We are given the following statement and we are to tell if its true or not:

'The scale of quantities should always start at zero'.

To get the correct and accurate measure of any quantity, the scale of that very quantity should always start from zero.

If it does not start from zero, there can be errors in the measure. Therefore, the given statement is true.