13 = 2m + 5

whats m?

Answer:

[tex]T_{n}[/tex] = 3n + 1

Step-by-step explanation:

There is a common difference between consecutive terms, that is

7 - 4 = 10 - 7 = 13 - 10 = 3

This indicates the sequence is arithmetic with nth term

[tex]T_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 4 and d = 3 , then

[tex]T_{n}[/tex] = 4 + 3(n - 1) = 4 + 3n - 3 = 3n + 1

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:

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:

D) 9:00 am

Step-by-step explanation:

Because 9:00 is the midpoint of 7 and 12

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:

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]

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

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Answer:

Yes, it is a polynomial, and the degree is 5

Step-by-step explanation:

A polynomial is a combination of terms separated using + or − signs and normally have exponents. So, this equation is a polynomial. The degree is just the highest exponential value, which is 5 because -5y is being raised to the 5th power

Answer:

5cm

Step-by-step explanation:

A=4πr2 =  100πcm2

r = 5

Answer:

d: 20

Step-by-step explanation:

alternative angle

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:

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)

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.

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:

It's Micheal because he started with 6 and added 15 and he divided them into 3 piles

Answer:

0.4 , 0.31 , 0.38 is the answer

Answer:

15

Step-by-step explanation:

The price of the bag at the pharmacy is

2/3 * 12 = 8 dollars

You have enough for 10 at the gift shop

10 * 12 = 120

Take 120 dollars and divide by 8 dollars to see how many you can get at the pharmacy

120/8 =15

Answer:

the answer is C. it was on my mid-term

Step-by-step explanation:

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:

weak positive

Step-by-step explanation:

weak because the line of best fit (the line passes through all points and used to express the relationship between them) doesn't pass through all ponts here.

positive because the values of data points are rising throughout the graph.

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:

133

Step-by-step explanation:

7 * 19

Rewrite 19 as 20 -1

7 * (20-1)

Distribute

7*20 - 7*1

140 - 7

133

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:

Step-by-step explanation:

the answer is irrational hope this helps

Answer:

Rational.

Step-by-step explanation:

64 is a rational number because it's a whole number. Irrational numbers are real numbers including: [tex]\pi, \sqrt{2}[/tex], and etc. Basically, rational numbers are anything that can be expressed as the quotient of two integers: 64/1

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]