Linda made the sculpture below as part of an art project. The sculpture is made up of a square pyramidand rectangular prism. Linda needs to paint the entire exterior surface, including the bottom. Find theapproximate area she needs to paint. Round to the nearest hundredth.

Answer:

41.48/year

Step-by-step explanation:

4.95 x 12 = 59.40

59.40 × .30 = 17.82

59.40 - 17.82 = 41.48

Answer:

b = 59

Step-by-step explanation:

Since table attached in the picture shows the linear relationship,

Equation showing the relationship between the altitude (x) and temperature (y) will be in the form of y = mx + b.

Where m = slope of the line

b = y-intercept of the line

y-intercept of a line means "y-value at x = 0"

For x = 0,

y = m(0) + b

y = b

From the table attached,

at x = 0, y-value = 59°F

Therefore, y-intercept 'b' = 59 will be the answer.

Answer:59

Step-by-step explanation:

Everything she said

a) The 90% confidence interval for this statistic for males is of: (0.1497, 0.2103).

b) The 90% confidence level for this statistic is of: (0.3661, 0.4339).

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.9}{2} = 0.95\), so the critical value is z = 1.645.

For males, the parameters are given as follows:

\(\pi = 0.18, n = 435\)

Hence the lower bound of the interval is given as follows:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.18 - 1.645\sqrt{\frac{0.18(0.82)}{435}} = 0.1497\)

The upper bound of the interval is of:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.18 + 1.645\sqrt{\frac{0.18(0.82)}{435}} = 0.2103\)

For the statistic, the parameters are given as follows:

\(\pi = 0.4, n = 566\)

Hence the lower bound of the interval is given as follows:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 1.645\sqrt{\frac{0.4(0.6)}{566}} = 0.3661\)

The upper bound of the interval is of:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 1.645\sqrt{\frac{0.4(0.6)}{566}} = 0.4339\)

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Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

the number of cups is 5 us cups if the nurse encouraged a client with diarrhea to drink 40 ounces of water per day.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that:

The nurse encouraged a client with diarrhea to drink 40 ounces of water per day.

As we know,

1 us cup = 8 ounces

Let x be the number of cups:

x = 40 ounces

1/x = 8/40

x = 40/8

x = 5 us cup

Thus, the number of cups is 5 us cups if the nurse encouraged a client with diarrhea to drink 40 ounces of water per day.

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There are 4,845 different teams of 4 students that can be formed from a group of 20 students for competitions.

The formula for combinations is used to calculate the number of ways to choose a subset of k items from a larger set of n items, where the order of the items doesn't matter.

In this case, we want to find the number of ways to choose a team of 4 students from a group of 20 students for a competition, where the order of the students on the team doesn't matter.

To find the number of different teams of 4 students that can be formed from a group of 20 students, we can use the formula for combinations:

C(20, 4) = 20! / (4! × ( 20 - 4)! )

C(20, 4) = (20 × 19 × 18 × 17) / (4 × 3 × 2 × 1)

C(20, 4) = 4845

Therefore, the number of different teams is 4,845.

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Answer:

Discriminant

\(b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0\)

\(\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}\)

\(\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}\)

\(\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}\)

Given equation: \(kx^2+2x+(1-k)=0\)

\(\implies a=k,\:b=2,\:c=(1-k)\)

\(\begin{aligned}\implies b^2-4ac & =(2)^2-4(k)(1-k)\\ & =4-4k(1-k)\\ & =4-4k+4k^2\\ & = 4k^2-4k+4 \end{aligned}\)

Complete the square:

\(\begin{aligned}\implies 4k^2-4k+4 & =4(k^2-k+1)\\ & = 4\left[k^2-k+\left(\dfrac{-1}{2}\right)^2+1-\left(\dfrac{-1}{2}\right)^2\right]\\ & = 4\left[\left(k-\dfrac12\right)^2+\dfrac34\right]\\ & = 4\left(k-\dfrac12\right)^2+3\end{aligned}\)

\(\textsf{As }\left(k-\dfrac12 \right)^2 \geq 0 \implies 4\left(k-\dfrac12 \right)^2+3\geq 3\)

Therefore, the roots are always real.

Answer:

7n + 1/5 + 2q

Step-by-step explanation:

Identify like terms

(4n + 3n) + (6/35 + 1/35) + (6q -4q)

Add like terms

7n + 7/35 + 2q

7/35 simplifies to 1/5

The equation y = 2x - 6 is a line in the form known as Slope-Intercept Form. This form organizes the equation so that you can easily discern the y-intercept and slope.

Slope-intercept form is y = mx + b. So here, m = 2, b = -6.

Answer:

51,

60 · 102

30 . ?

? = 102×30/60 = 51

Answer:

Hi there!

Your answer is:

The target is 72% of what you're currently consuming!

Step-by-step explanation:

2500 cals is 100% of what you're consuming

/2500

1 cals is .04% of what you're consuming

× 1800

1800 cals is 72% of what you're consuming

The 72 % of the calories you are consuming per day.

It is required to find the percent of the calories you are consuming.

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

We have to find the percent of the calories you are consuming.

Target number of calories = 1800 per day

consuming =2500 calories per day

According to given question we have,

2500  calories per day= 100%

1800 calories per day=\(\frac{1800*100}{2500}\)

1800 calories per day=72 %

Therefore, the 72 % of the calories you are consuming per day.

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Answer: all real numbers

Step-by-step explanation:

I assume you meant to write:

\(f(x)+g(x)=(x+5)+(x+4)=2x+9\)

Since this is a linear function, the domain is all real numbers.

Answer:

46 and 47

Step-by-step explanation:

Answer:

he is just so scrumptious

The word "hot" in this phrase is an example of the connotative meaning of the word.

A connotative word is a word that carries additional meanings or associations beyond its literal or denotative meaning.

These additional meanings are often subjective and depend on the individual's cultural, emotional, or personal associations with the word

We have,

Connotative meaning refers to the subjective, cultural, or emotional associations that a word carries beyond its literal definition.

In this context, "hot" is being used to express a positive and attractive quality of Mark, rather than referring to his actual temperature.

The connotative meaning of "hot" in this context is subjective and depends on the cultural and personal associations that people have with the word.

Thus,

The word "hot" in this phrase is an example of the connotative meaning of the word.

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Answer:

what is your Language I think it is Russian I don't understand Russian I only understand Nepali,English and Japanese

Answer:

25-1/2=

Step-by-step explanation:

Answer:

not sure if this is correct but is it 3??

Step-by-step explanation:

Answer:

2.35

Step-by-step explanation:

Answer:

2578

Step-by-step explanation:

Answer:

2578

Step-by-step explanation:

Answer:

Answer is D

Step-by-step explanation:

-4(9x-2)+3=-36x+8+3=-36x+11

Answer: 0.45

Step-by-step explanation:

it goes into 4 1/2 in 0.45 times! Hoped this helped!

Answer:

24053

Step-by-step explanation:

Because its just simple we know that 889 times 27 already IS JUST 24003 So what we do is add fifty

HOPE THIS HELPS

Answer:

more

Step-by-step explanation:

there is one with three digits while the other one has two. All of the numbers are whole so the answer to the left will be greater than the one on the right

Answer:

Constants

Step-by-step explanation:

Any term that doesn't have a variable but only a number is referred to as a constant.

Hope this helps :)

Answer: 12

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

Answer:

Step-by-step explanation:

it is 8

Answer:

1.) -5/4

2.) 2

3.) 7/3

4.) 4

5.) -6

6.) -1

7.) 5/3

8.) -4

9.) 2

Step-by-step explanation:

this is what i got i hope they are all right

slope formula: (y2 - y1) / (x2 - x1)

The market value of house increased by $68,340 and the current value of the house is  $470,340.

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

The market value of house before several years =$402,000

Also, the value of house increased by 17%.

The rise in value of house = 402,000 x 17/100

                                            = 68340

The value of house increased by $68,340.

The current value of house = 402,000 + 68340 = 470340

The current value of house is $470,340.

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Answer:

  x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Taking logarithms of both sides of the given equation, we have ...

  x·log(3) = log(10)

Dividing by the coefficient of x gives ...

  x = log(10)/log(3)

  x ≈ 2.09590327429

__

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

  x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

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The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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Answer:

x = 55

Step-by-step explanation:

First set the equations to equal eachother since theyre corresponding.

3x - 60 = x + 50

Then just solve for x.

3x - 60 = x + 50

     +60       +60

3x = x + 110

-x    -x

2x = 110

/2      /2

x = 55