which of the following is NOT true about a parallelogram?

Answer:

x = 4/3

Step-by-step explanation:

x^3 = 64/27

Take the cube root of each side

(x^3)^1/3 =( 64/27)^1/3

x = 4/3

Answer:

4th option

Step-by-step explanation:

Given

x³ = [tex]\frac{64}{27}[/tex] ( take the cube root of both sides )

[tex]\sqrt[3]{x^3}[/tex] = [tex]\sqrt[3]{\frac{64}{27} }[/tex]

x = [tex]\frac{\sqrt[3]{64} }{\sqrt[3]{27} }[/tex] = [tex]\frac{4}{3}[/tex]

Answer:

-1

Step-by-step explanation:

Mode is the number that appears most often

−1, 0, 3, 4, −3, −1

-1 appears twice which is more than any other number

-1 is the mode

Answer:

D. -1

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(3 - 7) / (2 + 2)

-4 / 4

= -1

So, the slope is -1.

The correct answer is D. -1

Answer:

The area of the shaded region is 7π square centimeters.

Step-by-step explanation:

Note that Circle B has a radius of 3 cm, and the two smaller circles, Circles O and C, both have a radius of 1 cm.

The area of a circle is given by:

[tex]\displaystyle A = \pi r^2[/tex]

Therefore, the area of Circle B, the entire circle, is:

[tex]\displaystyle \begin{aligned} A_B &= \pi (3)^2 \\ &= 9\pi \end{aligned}[/tex]

The area of Circle O is:

[tex]\displaystyle \begin{aligned} A_O &= \pi (1)^2 \\ &= \pi \end{aligned}[/tex]

And likewise, the area of Circle C is:

[tex]\displaystyle \begin{aligned} A_C &= \pi (1)^2 \\ &= \pi \end{aligned}[/tex]

The area of the shaded area is the area of the Circle B subtracted by the area of Circles O and C. Hence:

[tex]\displaystyle A_\text{shaded} =A_B - \left(A_ O + A_ C\right)[/tex]

Substitute and evaluate:

[tex]\displaystyle \begin{aligned} A_\text{shaded} &= (9\pi ) - (\pi + \pi) \\ &= 9\pi - 2\pi \\\ &= 7\pi \end{aligned}[/tex]

The area of the shaded region is 7π square centimeters.

The equation with exactly one solution is  3x + 5 = 2x - 6. Option D is correct.

To determine which equation has exactly one solution, we need to solve each equation and see if we end up with a unique value for 'x'.

4x – 4 + 2x = 6x - 4

Combine the x terms on the left side: 6x - 4 = 6x - 4

This equation is an identity and holds true for all values of x. It doesn't have a unique solution.

B. 2(4x + 5) = 8x + 10

Distribute the 2 on the left side: 8x + 10 = 8x + 10

Similar to the previous equation, this equation is also an identity and holds true for all values of x.

It doesn't have a unique solution.

4x - 8 = 4(x - 4)

Distribute the 4 on the right side: 4x - 8 = 4x - 16

Subtract 4x from both sides: -8 = -16

This equation is contradictory and has no solution.

3x + 5 = 2x - 6

Subtract 2x from both sides: x + 5 = -6

Subtract 5 from both sides: x = -11

This equation has a unique solution, x = -11.

So, the equation with exactly one solution is  3x + 5 = 2x - 6. Option D is correct.

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Answer:

5cm

Step-by-step explanation:

A=4πr2 =  100πcm2

r = 5

Answer:

7

Step-by-step explanation:

if the bases of the exponents are the same then we can add the powers. so 2^3 * 2^4 = 2^7 = 128.

Answer:

7

Step-by-step explanation:

2^3⋅2^4= 2^7

2^7=2^x

since it had the same base you wouldn't need to worry about it you can just focus on the exponent.

7=x

swap it over

x=7

The amount invested in the bond that yields the 5% interest is $3500 while the  amount invested in the bond that yields the 3% interest is $1500

In order to determine the amount invested in each bond, simultaneous equation would be used

From the question, two sets of equations can be derived

0.05x + 0.03y = 220 equation 1

x + y = 5000 equation 2

Where :

x = amount invested in the bond that gives 5% interest

y =  amount invested in the bond that gives 3% interest

Multiply equation 2 by 0.03

0.03x + 0.03y = 150 equation 3

Subtract equation 1 from 3

0.02x = 70

Divide both sides of the equation by 0.02

x = 3500

Substitute for x in equation 2

3500 + y = 5000

Subtract y from both sides of the equation

y = 5000 - 3500

y = 1500

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Answer:

It's $125.00

(B btw)

Step-by-step explanation:

I got it it right lol

Answers:-

y = mx+b where m is the slope and b is the y intercept.

The line must pass through (3,-7) therefore

-7 =3 m +b

Now solve for b

b=-7 - 3m

Now substitute b into the definition of a line

y = mx -7 -3m

y=m*(x-3) -7

Now check the solution to see if for every m it passes through (3,-7)

substituting x in to the solution.

y=m(3–3)-7

y=7 hence the solution is correct. for any m

Plz follow ma );

Answer:

y = 7

Step-by-step explanation:

y = mx+b where m is the slope and b is the y intercept.

The line must pass through (3,-7) therefore ---> -7 =3 m +b

Now solve for b ---> b=-7 - 3m

Now substitute b into the definition of a line, y = mx -7 -3m ---> y=m*(x-3) -7

Now check the solution to see if for every m it passes through (3,-7)

Substitute x in to the solution --->  y=m(3–3)-7

y=7 therefore the solution is correct.

The depth of the mirror of the cross-section of a searchlight would be 8.33 cm if the light bub has a vertex at 3 cm and the mirror is 20 centimeters across at the origin.

A cross-section is perpendicular to the axis of the symmetry goes through the vertex of the parabola. The cross-sectional shape of the mirrored section of most searchlights or spotlights is parabolic.

Given:

a = 3

y = [tex]\frac{20}{2}[/tex] cm = 10 cm

Solution:

from the equation [tex]y^{2} = 4ax[/tex]

[tex]y^{2} = 4*3*x\\ y^{2} = 12x[/tex]

putting x, 10 cm in the equation

[tex]x=\frac{10^{2} }{12} \\\\x= \frac{100}{12} \\\\x= 8.33 cm[/tex]

thus, the depth of the mirror would be - 8.33 cm

Learn more about other problems of the parabola:

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Answer:

D) 9:00 am

Step-by-step explanation:

Because 9:00 is the midpoint of 7 and 12

Answer:

C:-

[tex]\\ \sf\longmapsto c+115=180[/tex]

[tex]\\ \sf\longmapsto c=180-115[/tex]

[tex]\\ \sf\longmapsto c=65°[/tex]

D:-

[tex]\\ \sf\longmapsto d+70=180[/tex]

[tex]\\ \sf\longmapsto d=180-70[/tex]

[tex]\\ \sf\longmapsto d=110°[/tex]

Answer:

y=1

Step-by-step explanation:

5=2-3y+6

3y=2-5+6

3y= -3+6

3y= 3

3y÷3=3÷3

y=1

Answer:

16

Step-by-step explanation:

Substitute y = 5 into the expression

y² - 3y + 6

= 5² - 3(5) + 6

= 25 - 15 + 6

= 16

Answer:

-13 1/2 < -6/8

Step-by-step explanation:

*Any negative in either the numerator or denominator will make the entire fraction negative.

1/2  = .5

-13 1/2 = -13.5

-6/8 = -3/4

-3/4 = -0.75

-6/8 = -0.75

-13 1/2 = -13.5

Which means:

-13 1/2 < -6/8

Hope this helped.

Answer:

[tex] < [/tex]

Step-by-step explanation:

[tex] \frac{6}{8} [/tex]

Is close to 0 (to positive) you can use a time line to determine which is a correct answer

Answer:

Step-by-step explanation:

b) a² - 1 + b(b - 2a) = a² -1 + b*b -  b*2a     {distributive property}

                              =a² - 1 + b² - 2ab

                               = (a² - 2ab + b² ) - 1  

                               = (a - b)² - 1²           {use identity x²-y²= (x+ y)(x -y)}

                               = (a - b + 1)(a -b +1)

b) 15 +8y + y² - 2x - x² = (y² + 8y  + 15) - x² - 2x

                                    =  (y² + 5y + 3y + 15) - x(x + 2)

                                    = [ y(y + 5) + 3(y +5)] - x(x + 2)

                                   = [(y + 5)(y+3) ] - x(x +2)

Answer:

d: 20

Step-by-step explanation:

alternative angle

Answer:

there is not a complete question here ...

[tex]\sqrt{2} +1[/tex] is not in a denominator to rationalize

if it were you would multiply the rational expression (the fraction)

by [tex]\frac{\sqrt{2} -1}{\sqrt{2} -1}[/tex] the result (in the denominator would end up being "2 -1"

which is 1

Step-by-step explanation:

Answer:

0.4 , 0.31 , 0.38 is the answer

Answer:

Step-by-step explanation:

Looks hard

Answer:

11 cakes. he can make 11 cakes

Answer:

11

Step-by-step explanation:

You have to do 4 x the amount you know you can such as 10.

Then you have to multiply the 1/2 by that same number

So we'd get 4x10=40 and 1/2x10=5 to get 45

Then we add 45+4 1/2 = 49 1/2

They can make 11 cakes

Answer:

5 < x < 21

Step-by-step explanation:

I did this bfore.

Answer:  assuming g(x) is the inverse of f(x)

domain of g(x) = range of f(x)

range of g(x) = domain of f(x)

Answer:

Step-by-step explanation:

line is made up of points and its endless

eg:........................................................................................it goes on forever even though it stopped here

a line segment is not endless it starts a one point and stops at another

eg:   :-----------------------: see it stops its like starting a sentence and finshing it .

a ray is diffrent .    i dont know how to explain so heres a pic

            those orange things are called rays.

Answer:

23$ was each investment

Step-by-step explanation:

[tex]\sqrt{x} x^{2}[/tex] +3

Answer:

106+18≠28

106+18=124

in case the b was misplaced with the 6

10b=28-18

10b=10

10b/10=10/10

b=1

hope this is helpful

Answer:

133

Step-by-step explanation:

7 * 19

Rewrite 19 as 20 -1

7 * (20-1)

Distribute

7*20 - 7*1

140 - 7

133