A pattern follows the rule "Start at 3 and add 10."
Which statement is true about the pattern?
A: Each term is 13 more than the previous term because the tens digit goes up by 1 and the one's digit goes up by 3.
B: Each term is 10 times the previous term because the tens digit goes up by 1 and the ones digit stays the same.
C: For each term, the ones digit stays the same and the tens digit goes up by 1 because 10 has one ten and no ones.
D: For each term, the ones digit goes up by 3 and the tens digit goes up by 1 because you start at 3 and go up by 10 each time.

Answer:

Tonya"s tennis Academy charges $25 per hour for lessons plus a $15 registration fee. Gerald spent a total of $290 for lessons. How many hours of lessons (h) did he take? Create an equation to determine the cost of the lessons with number of hours of lessons as the variable. Then substitute what you know and solve for hours of lessons.

its a word problem from wyzant.

Step-by-step explanation:

The charge = $15 + $25h (h represents the number of hours)

$290 = $15 + $25h

$275 = $25h ( subtract $15 from both) sides

11 = h ( divide both sides by $25)

Answer:

2 19/24

Step-by-step explanation:

Simplify it in whatever whey they ask you to for the answer

Answer:

37/12

Step-by-step explanation:

[tex] \frac{2}{3} \div 2 + ( \frac{3}{4} + \frac{1}{6} ) \div \frac{1}{3 } \\ \frac{2}{3} \div 2 \div \frac{9+ 2}{12} \div \frac{1}{3 } \\ \frac{2}{3} \div 2 + \frac{11}{12} \div \frac{1}{3} \\ \frac{2}{3} \div 2 + \frac{11}{12} \div \frac{1}{3} \\ \frac{1}{3} +\frac{11}{4} \\ \frac{37}{12} [/tex]

Answer:

21

Step-by-step explanation:

6+5+4+3+2+1=21 and there you g9

The transformation can be defined as the introduction of a new set of mathematical coordinates.

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.

Given the triangle is needed to be translated by vector <-4,1>, therefore, we need to reduce -4 from all the x-coordinates of the points and add 1 to all the y-coordinates of the points.

Since negative on the x-axis is towards the left, and positive on the y-axis is upwards. Therefore, the translation of the given triangle will be as shown below.

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Answer:

15x=225

Step-by-step explanation:

15x=225

x=15

10 + 5 = 15.

14 + 1 = 15

13 + 2 = 15

those are what ik but guy above is more accurate lol

[tex] - 4(8r + 3)[/tex]

[tex] - 4(8r + 3)[/tex]

[tex] = - 32r - 12[/tex]

answer to your question is -32r-12

hope this will help you

Answer:

Both object will fall at the same speed

Step-by-step explanation:

Gravitational acceleration acting on both if those is equal. so Heavy objects fall at the same rate (or speed) as light ones

Answer:

6.228×10-⁵

7.243 × 10-⁵

1.376 ×10⁴

8.391×10²

6.324×10-⁵

3.136×10-³

9.435×10-⁵

6.437×10-⁴

1.232×10-³

7.955×10-³

The power in repeated multiplication form of 4⁴ is: 4 × 4 × 4 × 4 = 256.

To wrote a number in repeated multiplication form, write the base number  multiplied as many times as the stated exponents.

Given the number, 4⁴, we have:

4 × 4 × 4 × 4 = 256.

The value of the power of 4⁴ is: 256.

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Answer:

Step-by-step explanation:

4 x 4 x 4 x 4  = 16 x 16 = 256 is the value

4^4 is the power

Answer:

637 DOLLARS

Step-by-step explanation:

have a good day

The table models an exponential relationship, and the equation of the table is [tex]y = 4(1/2)^x[/tex]

The table of values is given as:

x  0   1    2   3    4

y  4   2    1   1/2  1/4

The above table shows an exponential model

An exponential model is represented as:

[tex]y = ab^x[/tex]

When x = 0 and y = 4, we have

[tex]ab^0 = 4[/tex]

Evaluate

a = 4

When x = 1 and y = 2, we have

[tex]ab^1 = 2[/tex]

Evaluate

[tex]ab = 2[/tex]

Substitute 4 for a

4b  = 2

Divide both sides by 4

b = 1/2

Substitute 4 for a and 1/2 for b in [tex]y = ab^x[/tex]

[tex]y = 4(1/2)^x[/tex]

Hence, the equation of the table is [tex]y = 4(1/2)^x[/tex]

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Answer:

Step-by-step explanation:

Answer:

115.52 m³

Step-by-step explanation:

As per given question we have provided that :

We need to find the volume of cylinder :

Substituting all the given values in the formula to find the volume of cylinder :

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi {r}^{2}h}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(3.8)}^{2}8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(3.8 \times 3.8)}8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(14.44)}8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi \times 14.44 \times 8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi \times 115.52}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 115.52 \pi \: {m}^{3}}}}[/tex]

[tex]{\star\underline{\boxed{\sf{\pink{Volume_{(Cylinder)}} = \purple{115.52 \pi \: {m}^{3}}}}}}[/tex]

Hence, the volume of cylinder is 115.52 m³.

[tex] \rule{200}2[/tex]

Answer:

c

Step-by-step explanation:

(4×3x)+(4×4x)=

12x+16x

Answer:

260

Step-by-step explanation:

26 letters * 10 digits

bc each letter could be followed by 10 different digits

Answer: 266

Step-by-step explanation:

Area of floor 3.8 × 2.8 = 10.64m²

Tiles 0.2m × 0.2m = 0.04m²

Number of titiles = 10.64/0.04

Answer:

03.97655 that will be there for answers

Answer:

$1,229.26

Step-by-step explanation:

Finding compound interest :

Answer:

m < 5

Step-by-step explanation:

10m-5 < 45

Add 5 to both sides

10m - 5 + 5 < 45 + 5

Simplify

10m < 50

Divide both sides by 2

10m/10 < 50/10

Simplify

m < 5

Kavinsky

Answer:

sin (×+y)/sinx cosy =1+ cotx tany

from trig ratio Sin [x +y] = sinx Cosy + cosx siny

Sinx cosy + cosox siny./Sinx cosy

then check the attachments for further information

Answer:

1. Never

2. Sometimes

3. Never

4. Always

Step-by-step explanation:

hope this helps

1. We assume, that the number 50 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 50 is 100%, so we can write it down as 50=100%.

4. We know, that x is 98% of the output value, so we can write it down as x=98%.

5. Now we have two simple equations:

1) 50=100%

2) x=98%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

50/x=100%/98%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 98% of 50

50/x=100/98

(50/x)*x=(100/98)*x       - we multiply both sides of the equation by x

50=1.02040816327*x      - we divide both sides of the equation by (1.02040816327) to get x

50/1.02040816327=x

49=x

x=49

now we have:

Answer:

49

Step-by-step explanation:

It's really quite simple lad. 50 times 98 is equal to 4900. then you just divide 4900 by 100 and you get your answer, 49. 98% is also 98/100, keep that in mind. Better luck next time haha you

[tex]\textbf{a)}\\\\3x^2 y^4 \cdot 2x^6 y \\\\=6x^{2+6} \cdot y^{4+1}\\\\=6x^8 y^5\\\\\textbf{b)}\\\\xz^3 \cdot 4x^4 z^5\\\\=4x^{4+1} \cdot z^{3+5}\\\\=4x^5 z^8\\\\\textbf{c)}\\\\4a^3b^2 \cdot 3a^6 b^5 \\\\=12a^{3+6}\cdot b^{2+5}\\\\=12a^9b^7\\\\\textbf{d)}\\\\6s^5t\cdot s^4 t^2\\\\=6s^{5+4} \cdot t^{2+1}\\\\=6s^9t^3[/tex]

Question : For which integer, x, does the value of g(x) begin to exceed the value of f(x) ?

A. 30

B. 29

C. 28

D. 27

ANSWER: B. 29

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Step-by-step explanation:

Hope it's help

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Answer:

last number is 9; range is 3-9

Step-by-step explanation:

since 5 is mode and 6 is mean, the 5 numbers must equal 30(as 30/5 is 6). 3+8+5+5 is 21, meaning last number is 9. therefore, range is 3-9 (largest and smallest)

Answer:

48: 24

Step-by-step explanation:

divide.

The number of rectangular trail mix box that will fit into the rectangular box to be shipped is 144.

The volume of a rectangular prism is represented as follows;

volume of rectangular prism = lwh

where

Therefore,

volume of the box = 18 × 24 × 12 = 5184 inches³

Therefore, the volume of each trail mix box is as follows:

volume = 4 × 3 × 3 = 36 inches³

Therefore,

number of trail mix box that can fit the box to be shipped = 5184 / 36 = 144

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Answer:

144 (100% correct)

Step-by-step explanation:

To calculate the number of trail mix boxes that will fit into the shipping box, we need to compare the volumes of the two boxes.

First, let's calculate the volume of the shipping box (rectangular prism):

Volume of the shipping box = length * width * height

Volume of the shipping box = 18 in * 24 in * 12 in

Volume of the shipping box = 5184 cubic inches

Next, let's calculate the volume of each trail mix box (rectangular prism):

Volume of each trail mix box = length * width * height

Volume of each trail mix box = 4 in * 3 in * 3 in

Volume of each trail mix box = 36 cubic inches

Now, we divide the volume of the shipping box by the volume of each trail mix box to find the number of trail mix boxes that will fit:

Number of trail mix boxes = Volume of the shipping box / Volume of each trail mix box

Number of trail mix boxes = 5184 cubic inches / 36 cubic inches

Number of trail mix boxes = 144

Therefore, 144 trail mix boxes will fit into the shipping box.( For confirmation to those who need it)

to get the equation of any straight line, we simply need two points off of it, so for the equation in the table, let'use the points in the picture below

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{2+2}{2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{2}(x-\stackrel{x_1}{1})\implies y+2=2x-2[/tex]

[tex]y=2x\stackrel{\stackrel{b}{\downarrow }}{-4}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so the equation in the table has a y-intercept of -4.

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y+\cfrac{1}{4}x=2\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{4}} x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}[/tex]

so hmmm we're really looking for an equation whose slope is -1/4 and with a y-intercept greater than -4, hmmm let's recall something, that on the negative side of the number line, the closer to 0, the greater.

that said, on the negative side of the number line -10 is much larger than -1,000,000, because -10 is closer than -1,000,000 to 0, and so on.

so hmmm what's greater than -4?  hmm well, heck let's use -2

[tex]y = -\cfrac{1}{4}x - 2[/tex]

The ways that would be useful in calculating the rate of interest he will pay each year is:  6000(1.007)^12×2

Using this formula

Rate of interest=Principal(1+Rate)^nt

Where:

Principal=$6,000

Rate=0.7%

Time=2 years

Number of months =12 months

Let plug in the formula

Rate of interest=6000(1+.007)^12×2

Rate of interest=6000(1.007)^24

Rate of interest=$7,093.47

Therefore the ways that would be useful in calculating the rate of interest he will pay each year is:  6000(1.007)^12×2

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