If x = 8, how much more wallpaper will Tara need for the living room than the bedroom?

This is an arithmetic sequence with a common difference given by d= -7

I will start by defining my first term as u⁰=361

Now we have to think, if u⁰ is my 1st term than my 47th term would be u⁴⁶ not u⁴⁷ since i start counting from 0 and not 1.

Using the relation that describes the implicit relation of an arithmetic sequence, i can say:

u(n)=u⁰+nd where n is any number

u⁴⁶=u⁰+46d

u⁴⁶=361+46(-7)

u⁴⁶=361-322

u⁴⁶=39

Answer:

39.

Step-by-step explanation:

This is an arithmetic sequence with common difference -7

47th term = a + d(n - 1)

= 361  - 7(47-1)

= 39.

Answer:

53 miles

Step-by-step explanation:

80 miles per hour

x miles per 45 minutes

So, we know that an hour is 60 minutes so lets change the hour to that.

80 miles per 60 minutes

x miles per 45 minutes

Now, we do cross-multiplication:

[tex]\frac{x}{45}[/tex]  [tex]\frac{80}{60}[/tex]

So, we multiply 80 by 45 which is 3200. Then, we divide 3200 by 60 which is 53.3. So, the train travels 53.3 miles in 45 minutes.

But to round it, it would be 53 miles.

Hope this helps

The number of miles traveled by train in 45 minutes will be 60 miles.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The speed of the train is 80 miles per hour. Then the number of miles in 45 minutes is calculated as,

80 = D / (45 / 60)

D = 80 x 45 / 60

D = 60 miles

The number of miles traveled by train in 45 minutes will be 60 miles.

More about the speed link is given below.

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Answer:

240°

Step-by-step explanation:

measure of XWZ = 360 - 120 = 240°

The measure of arc wz is 240 degrees.

here, we have,

we know that,

A small arc is one with a measure of fewer than 180 degrees. A major arc is one with a measure greater than 180 degrees. A semicircle is an arc that divides a circle in half and has a measure of 180 degrees.

An arc is a continuous segment of a circle. There are two sections, one of which is larger than the other. The major arc is the larger one, and the minor arc is the smaller one.

Given:

From diagram, m ∠xz = 120 degrees.

We know that whole circle = 360 degrees

So, measure of arc wz = 360 - 120

                                     = 240

Hence, the measure of arc wz is 240 degrees.

Learn more about Major and Minor Arc here:

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Answer:

im pretty sure that the answer is 2/3

Step-by-step explanation:

Answer:

P(x=5)=0.2

Step-by-step explanation:

Binomial Distribution

Consider a random event that has only two possible outcomes. Call p to the probability that the event has a 'successful' outcome, and q to the 'unsuccessful' outcome.

It's clear that p+q=1, or q=1-p.

Now repeat the random event n times. We want to calculate the probability of getting x successful outcomes. This can be done with the following formula:

[tex]\displaystyle P_{x} = {n \choose x} p^{x} q^{n-x}[/tex]

Where

[tex]\displaystyle {n \choose x}[/tex]

Is the number of combinations:

[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]

Calculate the probability for n=10, p=0.4, x=5. It follows that q=1-p=0.6:

[tex]\displaystyle P_{5} = {10 \choose 5}\cdot 0.4^{5}\cdot 0.6^{10-5}[/tex]

[tex]\displaystyle P_{5} = 252\cdot 0.4^{5}\cdot 0.6^{5}[/tex]

[tex]P_{5} = 0.2[/tex]

P(x=5)=0.2

Answer:

The second option

Step-by-step explanation:

The square root of a function could be smaller than 3, so the function could evaluate to less than 0, but the other 3 don't have any points smaller than 0. Therefore, the only possible option is the 2nd one.

Also, if you try to evaluate it in x = 0, which is sqrt(0)-3 = -3, the only option that satisfies that would be the second one.

I hope this helped.

The second option is the graph of y = √x-3.

Here, we have,

The square root of a function could be smaller than 3,

so the function could evaluate to less than 0, but the other 3 don't have any points smaller than 0.

Therefore, the only possible option is the 2nd one.

The graph of y = √(x) - 3 represents a square root function that is shifted vertically downward by 3 units.

The square root function itself is a curve that starts at the point (0, 0) and gradually increases as x increases.

By subtracting 3 from the square root function, the entire graph is shifted downward by 3 units.

This means that the new y-values of the graph are 3 units less than the corresponding y-values of the square root function.

Also, if you try to evaluate it in x = 0, which is √(0)-3 = -3,

the only option that satisfies that would be the second one.

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Answer:

True

I hope this helps!

Answer:

-50, -31.5, 44 I think

Step-by-step explanation:

The order from least to greatest is:

-50, -3, 1.5, 44

When the negative value increases ( from -1 to -2 ), the value in general decreases. Negative values have a lower value than non-negative numbers.

See picture for math work and answer.

Soln

here

weight = 30 kg

Force = weight × 10

= 30×10

= 300

Area = cm

= 100/100

= 1

now,

Pressure = Force/Area

= 300/1

= 300 pa.

Answer:

190

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

[tex]18^2=12(x+12)\\\\324=12(x+12)\\\\323=12x+144\\\\\cfrac{180}{12} =\cfrac{12x}{12} \\\\x=15[/tex]

~

Answer:

The conclusion

There is sufficient evidence to conclude that the  the residents of this particular city are spending significantly (at 5% level) more time watching TV than the average for this geographic area.

Step-by-step explanation:

From the question we are told that

   The population mean is [tex]\mu = 13 \ hours\ per\ week[/tex]

   The sample size is  n= 16

    The sample  mean is  [tex]\= x = 15.3[/tex]

    The standard deviation is  [tex]s = 3.8\ hours.[/tex]

   The null hypothesis is  [tex]H_o : \mu = 13[/tex]

    The alternative hypothesis is  [tex]H_a : \mu > 13[/tex]

     The level of significance is  [tex]\alpha = 0.05[/tex]

Generally the test statistics is mathematically represented as

      [tex]t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]

=>   [tex]t = \frac{15.3 - 13 }{ \frac{ 3.8 }{\sqrt{16} } }[/tex]

=>   [tex]t = 2.42[/tex]

 Generally the p-value is mathematically represented as

      [tex]p-value = P(z > 2.42)[/tex]

From the z -table  

       [tex]P(z > 2.42) = 0.0077603[/tex]

=>   [tex]p-value = 0.0077603[/tex]

From the values obtained we see that  [tex]p-value < \alpha[/tex]

Hence we reject the  null hypothesis

   Therefore there is sufficient evidence to conclude that the  the residents of this particular city are spending significantly (at 5% level) more time watching TV than the average for this geographic area.

Answer:

the third one

Step-by-step explanation:

Answer:

I think the 3rd one

Step-by-step explanation:

Answer:

The vertex is located at (1,-4)

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

[tex]y=a(x-h)^2+k[/tex]

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

We have the following quadratic equation and we need to express it in vertex form. Thus, we need to complete the squares:

[tex]y=x^2-2x-3[/tex]

Adding and subtracting 1:

[tex]y=x^2-2x+1-3-1[/tex]

The first three terms are the square of a binomial:

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

Comparing to the vertex form of a quadratic equation, the vertex is at (1,-4).

The vertex is located at (1,-4)

[tex]\\ \sf\longmapsto12x+7=10(x+1)-3[/tex]

[tex]\\ \sf\longmapsto 12x+7=10x+10-3[/tex]

[tex]\\ \sf\longmapsto 12x+7=10x+7[/tex]

[tex]\\ \sf\longmapsto 12x=10x[/tex]

[tex]\\ \sf\longmapsto x=10/12=5/6[/tex]

We need natural number

[tex]\\ \sf\longmapsto 12(0)=10(0)[/tex]

Yes 0 is a solution

Answer:

mean= 1588 and Standard deviation=190.99

Step-by-step explanation:

Answer:

30 in³

Step-by-step explanation:

surface area = 2(2 * 5 + 5 * u + 2 * u) = 62

2(10 + 5u + 2u) = 62

2(10 + 7u) = 62

10 + 7u = 62/2 = 31

7u = 31 - 10 = 21

so u = 21/7 = 3 in

Volume = 2 * 5 * 3 = 30 in³

Answer:

You can't solve this without a specific value of x.

Step-by-step explanation:

Well, all that the absolute value sign means, is that you work in them like parenthesis, but when you "open them up" no matter what, the result will be positive.

So, | x - 2 | - | x - 3 | is just a showing you that you are going to have a positive answer for x - 2, and you are going to have a positive answer for x - 3.

Now, since we don't have a specific value for x, just to simplify this even more, lets just quickly substitute x = 1, just for a reference, so:

| 1 - 2 | - | 1 - 3 | = | -1 | - | -2 |

                         = 1 - 2

                         = -1

Ok, so we got that, now we can go back to the original problem. Since we really don't have a specific value for x, we can't really simplify this any further. Maybe if you had a specific value or placeholder for x, then you would be able to solve this.

Answer:

Both are equal.

Step-by-step explanation:

.5 is a decimal and you get it by dividing 1 by 2, or 1/2.

So 1/2 ultimately means .5.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-annually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &5 \end{cases} \\\\\\ A=6500\left(1+\frac{0.042}{2}\right)^{2\cdot 5}\implies A=6500(1.021)^{10}\implies A\approx 8001.49[/tex]

Answer:

The car will be worth 6,624$ in 3-years

Step-by-step explanation:

Firstly we need to move the decimal two to the left, so the decimal form of 1% is 0.01.

Secondly, we make the equation by plugging in a multiplication sign and the cost of the car. Example - (0.01 x 10,350).

Now, that we have everything in an equation we can multiply 0.01 by 10,350, which will give us what 0.01 percent of 10,350 is, (103.5).

Lastly, we will subtract 103.5 from the cost of the car (10,350) to get the value of the car after the first month. The cost of the car will be $10,246.5. To find the value after the next two years we will repeat these steps...

Answer:

a)C

b)E

Step-by-step explanation:

a) You have to pick a vowel. There are three vowels and a total of 6 letters so it is 3/6 so the answer is C

b) Picking a card that is not T. None of the 6 letters are T so the probablity of picking a card with no T is 1. So the answer is E.

Answer:

C. 216 m^2

Step-by-step explanation:

The formula for the volume of a right solid is area of the base multiplied by the height. Following this formula, we multiply the given area of the base (27 m^2) by the height (8 m) to get 216 m^2, which is option C.