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The number [tex]316_7[/tex] is 316 in base seven

The number 316 in base seven is 160 in base ten

To convert to base 10, we make use of the product rule.

So, we have:

[tex]316_7 = 3 * 7^2 + 1 * 7^1 + 6 * 7^o[/tex]

Evaluate the exponents

[tex]316_7 = 3 * 49 + 1 * 7 + 6 * 1[/tex]

Evaluate the products

[tex]316_7 = 147 + 7 + 6[/tex]

Evaluate the sum

[tex]316_7 = 160[/tex]

Hence, the number 316 in base seven is 160 in base ten

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Answer:

1742 inches squared

Step-by-step explanation:

Surface Area = 2×(20×21 + 20×11 + 21×11) = 1742 inches2

The height of the object after 1 sec is 284 feet

Given the equation of height of an object expressed as:

h(t) = -16t^2 + 300t

We are to find the height of the object after 1 sec. To do that, we will substitute t = 1 into the following expression

h(t) = -16t^2 + 300t

h(1) = -16(1)^2 + 300(1)

h(1) = -16 + 300

h(1) = 284ft

Hence the height of the object after 1 sec is 284 feet

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Answer: It doubles

Step-by-step explanation:

Inflation erodes the value of a currency thereby reducing the purchasing power that customers have as they will only be able to buy less gods and services for the same amount as before.

An increase in inflation is directly proportional to a decrease in purchasing power which means that if the inflation rate doubles, the decrease in purchasing power doubles as well.

For instance, if inflation is 10%, the value of a dollar becomes 0.9c. If Inflation doubles to 20%, the dollar goes to 0.8c. Meanwhile the purchasing power would have gone from $1 to 0.8c which would translate to a 20% decrease.

Answer:

Both trains will meet at 2.2 hours (2 hours and 12 minutes).

Step-by-step explanation:

Relative Speed

If two moving objects are traveling through the same line and have speeds v1 and v2 respectively, their relative speed is vr = v1-v2.

Both trains travel toward each other, which means their speeds are of opposite signs.

Let's assume the first train has a positive speed of 65 mph, and the second train has a negative speed of -85 mph. Then, the relative speed is vr = 65 + 85 = 150 mph.

To calculate the time they take to meet, we apply the formula:

[tex]\displaystyle t=\frac{x}{vr}[/tex]

[tex]\displaystyle t=\frac{330}{150}=2.2\ hours[/tex]

Both trains will meet at 2.2 hours (2 hours and 12 minutes).

Answer:

45

Step-by-step explanation:

If 30% of the marbles are blue and 40% are green, then the remaining 30% of the marbles are red. Now we have to find 30% of 150

We do (30/100)*150 which equals 45.

Answer:

the answer is 1 1/2 bottles

Step-by-step explanation:

We have

[tex]\sqrt[k]{\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)} \\\\ = \exp\left(\dfrac{\ln\left(\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)\right)}k\right) \\\\ = \exp\left(\dfrac{\ln\left(\Gamma\left(\dfrac1k\right)\right)+\ln\left( \Gamma\left(\dfrac2k\right)\right)+ \cdots +\ln\left(\Gamma\left(\dfrac kk\right)\right)}k\right)[/tex]

and as k goes to ∞, the exponent converges to a definite integral. So the limit is

[tex]\displaystyle \lim_{k\to\infty} \sqrt[k]{\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)} \\\\ = \exp\left(\lim_{k\to\infty} \frac1k \sum_{i=1}^k \ln\left(\Gamma\left(\frac ik\right)\right)\right) \\\\ = \exp\left(\int_0^1 \ln\left(\Gamma(x)\right)\, dx\right) \\\\ = \exp\left(\dfrac{\ln(2\pi)}2}\right) = \boxed{\sqrt{2\pi}}[/tex]

Answer:

133 860

Step-by-step explanation:

145 500 x 0.92=133 860

Answer:

133860

Step-by-step explanation:

8 percent is 11640 so you subtract that from the original price

Answer: B

Step-by-step explanation:

Answer:

-7 -1 ,1 ,1 .7

Step-by-step explanation:

Answer:

[tex]r^{2}=\frac{V}{\pi h}[/tex]

Step-by-step explanation:

To solve an equation for one of its variables do that:

Let us use these steps to solve our question

∵ V = πr²h

→ Underline r²

∴ V = πr²h

→ Take π and h to the other side by dividing both sides by πh

∵ [tex]\frac{V}{\pi h}=\frac{\pi r^{2}h}{\pi h}[/tex]

∴ [tex]\frac{V}{\pi h}=r^{2}[/tex]

→ The coefficient of r² is 1, so switch the two sides

∴ [tex]r^{2}=\frac{V}{\pi h}[/tex]

Answer: d.) You want it

Step-by-step explanation:

People want a lot of things that they don't really need, can't afford, and haven't budgeted for.

That how they build debt that may take years to pay off!

Answer:

Which of the following should not be used as a guideline for making a purchase?

a.  ) You budgeted for it.

b. )  You can afford it.

c.)   You need it.

Step-by-step explanation:

Edge 2021

Answer:

250,000 papers

Step-by-step explanation:

500 papers : $4

x     papers : $2000

Cross-multiply:

500 * 2000 = 4x

 1,000,000 = 4x

          / 4     = / 4

    250000 = x

Answer:5x because ie d ecaied d

Answer:

(g ◦ f)(x) = g(f(x)) = cos(f(x)) = cos(7x2).

Answer:

a) -20/11 b) -10/7

Step-by-step explanation:

a) m=(y2-y1)/(x2-x1)

m=(-4-16)/(4-(-7))

m=-20/(4+7)

m=-20/11

b) m=(y2-y1)/(x2-x1)

m=(-10-(-20))/(-12-(-5))

m=(-10+20)/(-12+5)

m=10/-7

m=-10/7

Answer:

x=8.3 y=16.1

Step-by-step explanation:

87+12y+-7=180

29+9x+6=180

just add like terms then solve

Answer:

Step-by-step explanation:

The answer to your question is  7n ≤  28

Data

Cost of 1 bag = $7

The maximum amount of money spent = $28

n = number of 3-pound bags

Process

- We know that the amount spent must be at most = $28, so we use the symbol ≤.

- The money spend is the price of one bag times the number of bags bought.

- Then the inequality is

                                     7n ≤ 28

Answer:

1626.03

Step-by-step explanation:

u add all of them but u multiply 4 x 12.29 after u get the answer u add all of them and ur final answer is 1626.03

Answer:

n= 15

Step-by-step explanation:

Answer:

ok so.... how much does money Becca have? however much that is add 16 to it and that should be the amount of money mark has.

Step-by-step explanation:

Answer:

reflection then transition

Step-by-step explanation:

because ummm for it to get to one it is reflected then to get to 3 it is transitioned

Answer:

B

Step-by-step explanation:

Reflects over y and translates 4 to the left

Answer:

6x^2

Step-by-step explanation:

The LCD of x and 6x^2 is 6x^2

Answer:

9.1031 < 9.208 < 9.23 < 9.3

Step-by-step explanation:

Look at the tenths part of the decimals which is the main part, don't get confused just because there is more numbers after a small decimal number

Also brainly pls ty

Answer:

The list of all subsets of a,b,c,d is ϕ ,{a},{b},{c},{d},{a,b},{a,c},{a,d},{b,c},{b,d},{c,d},{a,b,c},{a,b,d},{a,c,d},{b,c,d},{a,b,c,d}

Answer:

144m²

Step-by-step explanation:

area is equal to side×side

side=12

=12×12

=144m²

Answer:

[tex]144m^{2}[/tex]

Step-by-step explanation:

Square = length * width

As everyone knows that the length and width of a square are the same, 12 times 12 equals 144.

Answer:

-3

Step-by-step explanation:

11-3=8

8-3=5

5-3=2

hope this helps!!