1. Mrs. Lee cut a pie into 6 pieces. She
gave each of her 4 children a
piece of pie.
If Mrs. Lee divided the entire pie equally
among her children, what fraction of
the remaining pieces of pie did
Mrs. Lee give each child?
A 14 piece of pie
į piece of pie
1
с
3
piece of pie
1
D à piece of pie
4
B

Step-by-step explanation:

[tex] \sin(θ) = \frac{2}{5} [/tex]

We know that

[tex] { \sin ^{2} (θ) } + \cos^{2} (θ) = 1[/tex]

Using that we get

[tex] \cos^{2} (θ) = 1 - \sin^{2}( θ) = 1 - { \frac{2}{5} }^{2} [/tex]

[tex] = 1 - \frac{4}{25} [/tex]

[tex] \frac{21}{25} [/tex]

hence

[tex] \cos(θ ) = \frac{ \sqrt{21} }{5} [/tex]

Step-by-step explanation:

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Answer:

  a) maximum; the parabola opens downward

  b) positive; it must lie above the x-axis

  c) x = 1.5

Step-by-step explanation:

The x-intercepts of a function are the points where the graph of the function crosses the x-axis. The y-values there are zero.

The "differences" of a function are related to the average slope between adjacent points. Second differences are related to the rate of change of the slope of the function. When second differences are negative, as here, the slope of the quadratic function is decreasing, becoming more negative. We say the curvature of the function is negatve, and that it opens downward.

__

If the graph of the parabola opens downward, and it crosses the x-axis, it must have a maximum that is a positive value of y.

__

The graph of a parabola is symmetrical about its vertex. That means points on the same horizontal line are the same distance from the line of symmetry, which must go through the vertex. The x-coordinate of the vertex will be the x-coordinate of the midpoint between the two x-intercepts:

  x = (-2 +5)/2 = 3/2

The x-coordinate of the vertex is x = 1.5.

______

Additional comment

The attachment shows a table with three evenly-spaced points on the curve. The calculations show first differences (d1) and second differences (d2). You can see that the sign of the second diffference is negative, in agreement with the given conditions.

Answer:

where is the problem?

Answer:

post your question and someone will respond

Answer:

4

Step-by-step explanation:

Answer:

2854.5 in^3

Step-by-step explanation:

4/3 π(8.8)^3

4/3π(681.472)

908.63π = 2854.5 in^3

Answer:

the price of the adult's ticket is 14 and the price of the child's ticket is 6

Step-by-step explanation:

[tex]let \: x \: = adult \\ y = child \\ 4x + 3y = 74 - - - - 1\\ 2x + 5y = 58 - - - - - 2 \\ multiplying \: - - 2 \: by \: two \\ 4x + 10y = 116 - - - - 3 \\ eqn3 - eqn1 \\ 4x - 4x + 10y - 3y = 116 - 74 \\ 7y = 42 \\ y = \frac{42}{7} \\ y = 6 \\ putting \: the \: value \: of \: y \: into \: eqn2 \\ 2x + 5(6) = 58 \\ 2x = 28 \\ x = \frac{28}{2} \\ x = 14[/tex]

please rate brainliest if you think I deserve

Answer:

D. marginal credit is right one

Answer:

Pls help me with my questions

Step-by-step explanation:

Answer:

Brand A

Step-by-step explanation:

IN the end buying it for $3.75/lb would end up being cheaper then buying it for $0.18/oz. Hopethis helps!

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

Given equation:

[tex]4(x+4)-10=14[/tex]

Add 10 to both sides:

[tex]\begin{aligned}4(x+4)-10+10 & =14+10\\ 4(x+4) & =24\end{aligned}[/tex]

Divide both sides by 4:

[tex]\begin{aligned}\dfrac{4(x+4)}{4} & =\dfrac{24}{4}\\ x+4 & =6\end{aligned}[/tex]

Subtract 4 from both sides:

[tex]\begin{aligned}x+4-4 & =6-4\\x & =2\end{aligned}[/tex]

Therefore, the solution is [tex]x=2[/tex]

Answer:

x = 2

Step-by-step explanation:

To solve the expression, we need to isolate the "x" variable. Start out by simplifying the distributive property on the left hand side.

Simplify the left hand side as needed to determine the "x" variable.

Subtract 6 both sides to isolate the "x" variable and it's cooeficient.

Divide both sides by 4 to isolate the "x" variable. Our solution will be a constant on the right hand side.

Thus, the value of x is 2.

Using it's concepts, it is found that the sample space and the desired probability are given by:

C. {1,2,3,4,5,6,skip}; P(1)=0.125

The sample space is the set that contains all possible outcomes for an experiment.

If an outcome happens more than once, as is the case for the "skip" in this problem, it is shown only once on the sample space, hence for this problem it is given by:

{1,2,3,4,5,6, skip}

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, one out of eight outcomes result in a one, hence:

P(1) = 1/8 = 0.125.

Which means that option C is correct.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

225

Step-by-step explanation:

if you convirt them all to fractions and make it 5/1*10/1*36/1=225

Answer:

ok so this is just multiplycation

30% is also 0.3 so

280*0.3=84

84 minutes or

1 hour 24 minutes

Hope This Helps!!!

Answer: 23810645.03820431-24

Step-by-step explanation:

Used my brain :)

Answer:

14[tex]w^{8}[/tex] + 63[tex]w^{4}[/tex]

Step-by-step explanation:

7w³ (2[tex]w^{5}[/tex] + 9w) ← multiply each term in the parenthesis by 7w³

= 14[tex]w^{8}[/tex] + 63[tex]w^{4}[/tex]

[ using rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] ]

Answer:

7w⁴ (2w⁴ + 9)

Step-by-step explanation:

Given

Let's simplify.

they easiest way to find the right answer is to look at the 2 first terms and checking if they equal 64x³

doing so:

A:

48x³+...

B:

64x³+...

C:

9x³-48x³+...

= -39x³+...

-> the answer should be B, to make sure this is the right answer, you can just solve B

B:

(4x+3)(16x²-12x+9)

= 64x³- 48x²+36x+48x²-36x+27

= 64x³+27

-> answer B is correct

keeping in mind that the solution to a system of equations is where the graphs of the equations meet or intersect, Check the picture below.

Given Information :-

⠀

A cone with dimensions :-

⠀

Another cone with dimensions :-

⠀

⠀

To Find :-

⠀

⠀

Formula Used :-

⠀

[tex] \qquad \diamond \: \underline{ \boxed{ \red{ \sf T.S.A._{Cone}= \pi r(r+l) }}} \: \star[/tex]

⠀

Solution :-

⠀

For the first cone,

⠀

Since, we don't really have to find the exact values of the surface area, we will let pi remain as a sign itself, this will make the calculations easier.

⠀

[tex] \sf \longrightarrow T.S.A. = \pi \times 3(3 + 7) \\ \\ \\ \sf \longrightarrow T.S.A. = \pi \times 3 \times 10 \: \: \: \\ \\ \\ \sf \longrightarrow T.S.A. =30 \pi \: {cm}^{2} \: \: \: \: \: \: \: \: \\ \\ [/tex]

Now, for the second cone,

⠀

[tex] \sf \longrightarrow T.S.A. = \pi \times 5(5 + 9) \\ \\ \\ \sf \longrightarrow T.S.A. = \pi \times 5 \times 14 \: \: \: \: \\ \\ \\ \sf \longrightarrow T.S.A. =70 \pi \: {cm}^{2} \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Now, we just have to calculate the ratio of their surface areas, thus,

⠀

[tex] \sf \longrightarrow Ratio = \dfrac{Surface ~area~of~first~cone}{Surface ~area~of~second~cone} \\ \\ \\ \sf \longrightarrow Ratio = \frac{30 \pi \: {cm}^{2} }{70 \pi \: {cm}^{2} } \: \: \: \: \: \: \: \: \: \qquad \qquad \qquad \\ \\ \\ \sf \longrightarrow Ratio = \frac{ 3 \cancel{0 \pi \: {cm}^{2}} }{ 7 \cancel{0 \pi \: {cm}^{2} } } \qquad \qquad \qquad \qquad \\ \\ \\\sf \longrightarrow Ratio = \frac{3}{7} = 3 : 7 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus, the ratio between the surface areas of the cones is 3 : 7.

⠀

[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]

Answer:

5/2 or 2 1/2

Step-by-step explanation:

You divide the area by the width to get the length

5/8 / 1/4 and do keep change flip to get:

5/8 * 4/1 = 20/8 which you then simplify and get 5/2

Answer:

Multiply the number of cups of cream by two and a half.

Answer:

the answer is 60 yards for the triangle

Answer:

yes

Step-by-step explanation:

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.

Jordan's scale model would let him have a proportional measurement of the actual drawing

The height of Jordan's model is 48.8 cm

The scale ratio is represented as:

Ratio = Model : Actual

So, we have:

1 cm : 0.5 m = Model : 24.4 m

Express as fractions

1 cm / 0.5 m = Model / 24.4 m

Multiply both sides by 24.4 m

Model = 24.4 m * 1 cm / 0.5 m

Evaluate the product

Model = 48.8 cm

Hence, the height of Jordan's model is 48.8 cm

Read more about scale models at:

https://brainly.com/question/19434385

Answer:

it is C. 48.8

Step-by-step explanation:

new/original
24.4 divided by 0.5
=48.8


or the longer way:
24.4 divided by 1/2

24.4 * 2/1=
48.8

Answer:

Step-by-step explanation:

4.  m < 1 + m < 4 + m < 5 = 180

S casts a "shadow" on the x-y plane given by the set

[tex]S' = \left\{(x,y) ~:~ -1 \le x \le 1 \text{ and } x^2 \le y \le 1\right\}[/tex]

Each cross section is a square whose side length is determined by the vertical distance between y = 1 and y = x², which is |1 - x²|. But since -1 ≤ x ≤ 1, this distance simplifies to 1 - x².

The volume of an infinitesimally thin section is then (1 - x²)² ∆x (where ∆x represents its thickness), and so the volume of S is

[tex]\displaystyle \int_{-1}^1 (1-x^2)^2 \, dx = \int_{-1}^1 (1 - 2x^2 + x^4) \, dx[/tex]

The integrand is even, so this integral is equal to twice the integral over [0, 1] :

[tex]\displaystyle \int_{-1}^1 (1-x^2)^2 \, dx = 2 \int_0^1 (1 - 2x^2 + x^4) \, dx = 2 \left(1 - \frac23 + \frac15\right) = \boxed{\frac{16}{15}}[/tex]

Answer:

c. 17/12

Step-by-step explanation:

Step-by-step explanation:

1) x+13+90 = 180

or, x = 180 - 103

    x = 77

2) x+74+90 = 180

or, x = 180 - 164

    x = 16

3)  x+62+45 = 180

or, x = 180 - 107

    x = 73

Answer:

Eleanor has made an error in Step 1

She clearly intended to multiply both sides by 2, but forgot to multiply the [tex]-9x[/tex] part of the RHS.

Step 1 should be:   [tex]x+18=8(2x-6)-18x[/tex]

Correct solution

Given:   [tex]\dfrac12(x+18)=4(2x-6)-9x[/tex]

Step 1:  [tex]x+18=8(2x-6)-18x[/tex]

Step 2:  [tex]x+18=16x-48-18x[/tex]

Step 3:  [tex]x+18=-48-2x[/tex]

Step 4:  [tex]66=-3x[/tex]

Step 5:  [tex]x=-22[/tex]