please help me solve this fractions. (show your work)​

Answer:

b)48 km/hr (12 km in .25 hrs)

c) avg speed: 60/3 = 20 km/hr

Step-by-step explanation:

a)

.5  18

.75 18

1      30

1.5   30

2     40

2.25  40

3        60

Answer:

It is Option D. 120 x^3 y^7

Option D is correct i.e. the eighth term of the given expansion is [tex]120x^{3} y^{7}[/tex].

The Binomial Theorem is the method of expanding an expression that has been raised to any finite power.

A binomial expression is an algebraic expression that contains two dissimilar terms .

[tex]T_{r+1} =nC_{r} x^{n-r} y^{r}[/tex]

According to the given question

We have,

The binomial expansion [tex](x+y)^{10}[/tex]

Therefore,

The eighth term of the given binomial expansion is given by

[tex]T_{7+1} = 10C_7x^{10-7} y^{7} \\T_{8} = \frac{10!}{7!3!} x^{3} y^{7}[/tex]

[tex]T_{8} = \frac{(10)(9)(8)(7!)}{7!(3)(2)(1)} x^{3} y^{7}[/tex]

[tex]T_{8} = 120x^{3} y^{7}[/tex]

Hence, option D is correct. i.e. the eighth term of the given expansion is [tex]120x^{3}y^{7}[/tex].

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Answer:

∠ 3 = 140°

Step-by-step explanation:

∠ 4 and ∠ 3 are same- side exterior angles and sum to 180° , then

∠ 3 = 180° - ∠ 4 = 180° - 40° = 140°

Step-by-step explanation:

it is from minus infinity to infinity

Answer:

C. 2x

Step-by-step explanation:

Let

B's age = x years

A's age = 2 times older than B

= 2 * x

= 2x years

A's age = 2x years

For instance, if B's age is 17 years

Then,

A's age = 2x

= 2(17)

= 34 years old

Answer:

in neighbourhood q the total number of people in the nine families I higher than that in neighbourhood s because of we add up the number of people in the families in neighbourhood q we get a total of 35 yet we have a total of only 27 people in the nine families in neighbourhood s

hope that helps ❤

Answer:

6

Step-by-step explanation:

Not bad, i can read it. Mines worse xd

9514 1404 393

Answer:

  IV

Step-by-step explanation:

x > 0 in quadrants I and IV.

y > 0 in quadrants I and II.

The quadrant in which x > 0 and y < 0 is quadrant IV.

_____

The axes, x=0 or y=0, are in no particular quadrant. They are the boundaries between quadrants.

Answer: Choice A

Explanation:

Notice that the point (1,1) is on the blue f(x) curve. Then it jumps to (1,4) on the black g(x) curve. This is a jump of "times 4".

So we can say,

g(x) = 4*f(x)

[tex]g(x) = 4*\sqrt[3]{x}[/tex]

This results in the g(x) curve being 4 times taller or 4 times more vertically stretched out compared to the f(x) curve.

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

Side notes:

The function g(x) is a transformation of the cube root parent function f(x) is [tex]g(x)=4\sqrt[3]{x}[/tex]. Therefore, option A is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Notice that the point (1,1) is on the blue f(x) curve. Then it jumps to (1,4) on the black g(x) curve. This is a jump of "times 4".

So we can say,

g(x) = 4f(x)

[tex]g(x)=4\sqrt[3]{x}[/tex]

This results in the g(x) curve being 4 times taller or 4 times more vertically stretched out compared to the f(x) curve.

Choices B and C handle vertical and horizontal translations (aka shifting) in that order.

Choice D is the opposite of choice A, and it will apply a vertical dilation to vertically squish the blue curve to be even shorter than it shows.

Therefore, option A is the correct answer.

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Answer:

6,750,000 cm³ = 6.75 m³

Step-by-step explanation:

a scale version means that the ratio of every dimension of scale vs. real object is 1/50.

volume is created by multiplying 3 dimensions.

so, going from scaling to real the volume has to be multiplied by 50×50×50 = 50³ = 125000

so, as for the scale model we needed 54 cm³, for the full size object we need 54×125000 = 6,750,000 cm³ of metal.

or to bring it to m³ (1m³ = 100×100×100 cm = 1000000 cm³)

that would be 6.75 m³ of metal.

Answer:

what do you need help with

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

cos A = adjacent side / hypotenuse in a right triangle

cos A = 24/40

Cos A = 6/10

cos A = 3/5

Answer:

(-2, 5)

Step-by-step explanation:

Plug each ordered pair in both equations and see if they fit in BOTH equations.

Answer:

A

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Neither equation has a different slope, so they are parallel.

Answer:

A

Step-by-step explanation:

In a matrix we go by row, then column so 2 rows and 3 columns

Answer:

9/10 or 90 %

Step-by-step explanation:

There are 54+27+5+4 total people = 90

The people with diploma is 54+27 = 81

P (diploma) = number with diploma / total

                  = 81/90

                  =9/10

                   90%

The alternative hypothesis in this situation is An hypothesis is u < 3.

An hypothesis is a temporary explanation to a phenomena. The explanation is either disproved by carrying out tests. Alternative hypothesis states that there is a relationship between the population parameters.

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Answer:

U=3

Step-by-step explanation:

next - U<3

next - alternative

sugmah

Answer:

B

Step-by-step explanation:

I just solved it now

you are welcome

Answer:

x∈[13,+∞]

Step-by-step explanation:

x≥13

Answer:

Step-by-step explanation:

x+y=17 is NOT the equation for any circle. You have omitted the exponents. The equation for the circle should be

x^2 + y^2 = 17.

:::::

Plug the coordinates of D into the equation.

(-4)² + (-1)² = 17, so D is on the circle.

Plug the coordinates of E into the equation.

1² + 4² = 17, so E is on the circle.

:::::

Slope of DE = (-1 - 4)/(-4 - 1) = 1

Slope of perpendicular to DE is -1.

Midpoint of DE:  ((-4+1)/2, (-1+4)/2) = (-1.5, 1.5)

Point-slope equation for perpendicular bisector:

y-1.5 = -(x+1.5)

y = -x

:::::

Center of circle is (0,0)

0 = -0, so y=-x passes through the center.

Answer:

x = 14°

Step-by-step explanation:

x + 76° = 90°

or, x = 90° - 76°

so, x = 14°

Given:

The expression is:

[tex]\left(\dfrac{1}{7}-4\sqrt{3}\right)^3+\left(\dfrac{1}{7}+4\sqrt{3}\right)^3 [/tex]

To find:

The simplified form of the given expression.

Solution:

Formulae used:

[tex](a-b)^3=a^3-3a^2b+3ab^2-b^3[/tex]

[tex](a-b)^3=a^3+3a^2b+3ab^2+b^3[/tex]

Adding this formulae, we get

[tex](a-b)^3+(a+b)^3=2a^3+6ab^2[/tex]            ...(i)

We have,

[tex]\left(\dfrac{1}{7}-4\sqrt{3}\right)^3+\left(\dfrac{1}{7}+4\sqrt{3}\right)^3 [/tex]

Using formula (i), the given expression can be written as:

[tex]=2\left(\dfrac{1}{7}\right)^3+6\left(\dfrac{1}{7}\right)\left(4\sqrt{3}\right)^2[/tex]

[tex]=2\times \dfrac{1}{343}+6\left(\dfrac{1}{7}\right)48[/tex]

[tex]=\dfrac{2}{343}+\dfrac{288}{7}[/tex]

[tex]=\dfrac{2+14112}{343}[/tex]

[tex]=\dfrac{14114}{343}[/tex]

Therefore, the simplified form of the given expression is [tex]\dfrac{14114}{343}[/tex].

Answer:

Amy is right

Step-by-step explanation:

4.32-2.6 = 1.72

Answer:

Amy is correct

Step-by-step explanation:

4.32-2.6 = 1.72

Answer:

126/2 = 63^2

Step-by-step explanation:

Answer:     MK is congruent to LJ

Step-by-step explanation:      If the legs of the triangle are equal then that must mean the hypotenuses are as well.

Answer:

2x + 3y - 5 = 0

Step-by-step explanation:

(4 , -1)  & (-2,3)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\=\frac{3-[-1]}{-2-4}\\\\=\frac{3+1}{-6}\\\\=\frac{4}{-6}\\\\=\frac{-2}{3}[/tex]

m = -2/3;   (4 , -1)

y - y1 = m(x - x1)

[tex]y - [-1]= \frac{-2}{3}(x-4)\\\\y + 1 =\frac{-2}{3}x -4*\frac{-2}{3}\\\\y + 1 =\frac{-2}{3}x+\frac{8}{3}[/tex]

Multiply the equation by 3

3y + 3 = -2x + 8

3y = -2x + 8 - 3

3y = -2x + 5

2x + 3y - 5 = 0

Answer:

usual number of yellow eggs = 12

Usual maximum = 21

Usual minimum = 3

Step-by-step explanation:

To solve this, we will use the expected value of a binomial probability.

The formula is;

E(X) = np

Where;

n is sample size

p is probability of success.

We are given;

n = 58

p = 21%

Thus;

usual number of yellow eggs in samples = np = 58 × 21% = 12.18 ≈ 12

From USL(Upper specification limit) and LSL(Lower specification limit) formula, we can find the maximum usual number and minimum usual number of eggs respectively.

Thus;

USL = n(p + 3√(p(1 - p)/n)

USL = 58(0.21 + 3√(0.21(1 - 0.21)/58)

USL = 21.48 ≈ 21

LSL = n(p - 3√(p(1 - p)/n)

LSL = 58(0.21 - 3√(0.21(1 - 0.21)/58)

LSL = 2.87 ≈ 3