Complete the table by identifying u and du for the integral.

Answer:

0.072

Step-by-step explanation:

0.09 × 0.08

Here's the diagram/ explanation

The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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Answer:

the intersection point is ( -5/4, -5/4, -9/8)

Step-by-step explanation:

F(x,y,z) = x² +y² -z= 0

Then find differential of each terms then we have

∀f(x)=2x

∀f(y)=2y

∀f(z)=-1

The partial differential which is the director vector is at F(x,y,z)= (1,1,2)

Vf(1,1,2) = (2,2,-1)

But the given point is ( 1.1,2)

Then the parametric equation of normal line will be

x= 1+2t

y= 1+2t

z= 2 -t

The parametric equation can be formed as

(1+2t)² + (1+2t)² - (2-t)= 0

If we expand the expression above we have,

2(1+4t+4t²) - 2+t= 0

0= 8t² + 9t

t= 0 or t= -9/8

Substitute the value of t into the parametric equation above

At t=0

x= 1+2t; x= 1+2(0)=1

y= 1+2t; y= 1+2(0)=1

z=2 -t ; z= 2-(0)= 2

At =0 , we have (1,1,2)

At t= -9/8

x= 1+2t; x= 1+2(-9/8)=-5/4

y= 1+2t; y= 1+2(-9/8)=-5/4

z=2 -t ; z= 2-(-9/8)= -9/8

Therefore, the intersection point is ( -5/4, -5/4, -9/8)

The normal intersects the paraboloid at \((-\frac{5}{4},-\frac{5}{4},\frac{25}{8} )\)

A surface all of whose intersections by planes are either parabolas and ellipses or parabolas and hyperbolas.

Given function is,

\(z = x^2 + y^2\)

We can write the given function as,

\(F(x,y,z)=x^2+y^2-z\)

Compute the gradient  \(F\) by using the formula,

\(\nabla F(x,y,z)=\left\langle 2x,2y,-1\right\rangle\)

At (1,1,2) we get,

\(\nabla F(x,y,z)=\left\langle 2,2,-1\right\rangle\)

The equation of the tangent plane at (1,1,2) is,

\(2(x-1)+2(y-1)-(z-2)=0\\2x+2y-z-2=0\\\frac{x-1}{2}=\frac{y-1}{2}=\frac{z-2}{-1}=t\\ x=2t+1,y=2t+1,z=-t+2\)

Replace the values of \(x,y,z\) in \(z = x^2 + y^2\) and then solve for \(t\) then,

\(-t+2=(2t+1)^2+(2t+1)^2\\8t^2+9t=0\\t=0,-\frac{9}{8}\)

Substituting the value into the parametric equations,

\(x=2(-\frac{9}{8} )+1,y=2(-\frac{9}{8} )+1,\ and \ z=-(-\frac{9}{8} )+2\\x=-\frac{5}{4}, \ y= -\frac{5}{4} ,z=\frac{25}{8}\)

Therefore, the normal intersects the paraboloid at \((-\frac{5}{4},-\frac{5}{4},\frac{25}{8} )\)

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We make the drawing

now we can use the formula of the volume of a prism

where l is the length, w the width and h the height

then replacing

Johannas should order 9.45 cubic feet of sand

Answer:

i think it is 15

Answer:

Six hours

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

Use a ratio and cross multiply to solve for x

324       243

------  =  -------

 8            x

324x = (8)(243)

324x = 1944

x = 6

Answer:

To find 29% of 150, we can first express 29% as a decimal by dividing 29 by 100. 29% is the same as 0.29.

Then, we multiply 0.29 by 150 to find the answer:

0.29 * 150 = 43.5

So, 29% of 150 is equal to 43.5.

Here's the work:

29% * 150 = 0.29 * 150 = 43.5

\(\huge\text{Hey there!}\)

\(\mathsf{29\%\ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \times 150}\)

\(\mathsf{= \dfrac{29}{100} \times \dfrac{150}{1}}\)

\(\mathsf{= \dfrac{29(150)}{100(1)}}\)

\(\mathsf{= \dfrac{4,350}{100}}\)

\(\mathsf{= \dfrac{4,350 \div 50}{100 \div 50}}\)

\(\mathsf{= \dfrac{87}{2}}\)

\(\mathsf{= 43 \dfrac{1}{2}}\)

\(\mathsf{= 43.5}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{\dfrac{87}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43 \dfrac{1}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43.5}}\huge\checkmark\)

\(\large\text{Either of those should work because they are all equivalent to each}\\\large\text{other}\uparrow\)

\(\huge\text{Good luck on your assignment \& enjoy your day! }\)

Answer:

interest rate is .000951667 and total interest gained is 47.98 and total money in the bank account is 2147.98

Step-by-step explanation:

you have to find the interest rate then multiply it by 1 year then put it to the power of 24. 24 because you have 34 months in 2 years

Answer:

1. 2nd row multiplied by the 3 columns : 7x³ , -35 x²,42

2. 3rd row multiplied by the 3 columns :  -4x² , 20x ,-24

Step-by-step explanation:

The table requires you to perform multiplication of the terms

The product is as follows;

1. 2nd row multiplied by the 3 columns

7x * x² = 7x³

7x * -5x = -35 x²

7x * 6 = 42

2. 3rd row multiplied by the 3 columns

-4 * x² = -4x²

-4 * -5x = 20x

-4*6 = -24

Answer:

The answer is D

Step-by-step explanation:

Answer:

6x-3y+2

Step-by-step explanation:

I AM BIG BRAIN

Answer:

( 2A - kn) /k = m

Step-by-step explanation:

A = k/2(m+n)

Multiply each side by 2/k

2/k *A =2/k * k/2(m+n)

2A /k = m+n

Subtract n from each side

2A /k - n = m+n -n

2A /k - n = m

Getting a common denominator

2A/k - kn/k = m

( 2A - kn) /k = m

Answer:

Step-by-step explanation:

\(A=\frac{k(m+n)}{2}\\2A=k(m+n)\\\frac{2A}{k} =m+n\\\frac{2A}{k}-n=m\\2A-kn=km\\\frac{(2A-kn)}{k}=m\)

Step-by-step explanation:

it's 54 ounces.........

Answer:

I think the answer is -3≤x≤∞

Step-by-step explanation:

SOLUTION:

An alternative hypothesis would claim that there a difference between the sample and population mean claimed.

An alternate hypothesis directly contradicts the null.

Answer:

The area is 15 units^2

Step-by-step explanation:

Area = ((a+b)/2) x h

        = ((4+6)/2) x 3

        = ((10)/2) x 3

        = (5) x 3

        = 15 units^2

Answer:

10.5

Step-by-step explanation:

Missing number, 9.8, 9.1

We see that each time it subtracts 0.7

We take

9.8 + 0.7 = 10.5

So, the missing number is 10.5

The item would be the rental value of the home owned by the taxpayer. The correct option is D.

A taxpayer is a person or organization that is required to pay taxes. Modern taxpayers may have an identification number, which is a reference number issued by the government to individuals or businesses. The term "taxpayer" generally refers to someone who pays taxes.

A recurring payment made by a tenant to a landlord in exchange for the use of land, a building, an apartment, an office, or other property. a payment made by a lessee to an owner in exchange for the use of machinery, equipment, etc.

A taxpayer who wishes to file as head of household paid more than half the cost of keeping up their home will be the rental value of the home owned by the taxpayer.

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If a is the first term of an AP with common difference -2, then the first several terms are

a, a - 2, a - 4, a - 6, a - 8, …

with n-th term a - 2 (n - 1).

The sum of the first n terms is equal to the sum of the first 3n terms :

\(\displaystyle \sum_{i=1}^n (a-2(i-1)) = \sum_{i=1}^{3n} (a-2(i-1))\)

We have

\(\displaystyle \sum_{i=1}^N (a-2(i-1)) = (a+2)\sum_{i=1}^N - 2\sum_{i=1}^Ni = (a+2)N - 2\cdot\dfrac{N(N+1)}2 = (a+1)N-N^2\)

so that in the previous equation, the sums reduce to

\((a+1)n-n^2 = (a+1)(3n)-(3n)^2\)

Solve for a :

\((a+1)n-n^2 = (a+1)(3n)-(3n)^2 \\\\ (a+1)n-n^2 = (a+1)(3n)-9n^2 \\\\ 9n^2-n^2 = (a+1)(3n)-(a+1)n \\\\ 8n^2 = (a+1)(2n) \\\\ 4n = a+1 \\\\ \boxed{a=4n-1}\)

Now if a = 27, we have

27 = 4n - 1

28 = 4n

n = 7

as required.

Answer:

  A, C

Step-by-step explanation:

You want all the shapes that are enlargements of shape X, which is 1 unit high and 3 units wide.

An enlargement of shape X multiplies each of its dimensions by the same factor. When it is enlarged by a factor of 2, the dimensions become ...

  high : wide = 1 : 3 = 2 : 6 . . . . . . matches shape C

When it is enlarged by a factor of 3, the dimensions become ...

  high : wide = 1 : 3 = 3 : 9 . . . . . . . matches shape A

The 2-high shape B is too short, being 4 1/2 wide instead of 6. Shape F is too long, being 7 wide instead of 6.

The 3-high shapes D and E are too short, being 8 and 5 wide instead of 9.

__

Additional comment

An enlargement preserves the aspect ratio of the shape, the height to width ratio. Here, that is 1:3. Any shape with a different aspect ratio is not an enlargement of X.

Answer:

Answer and steps in picture.

Check the picture below.

Answer:

18

Step-by-step explanation:

24 x 3/4 = 18.

Answer: the answer is 2

Step-by-step explanation:

1. 5 x 2 = 10

2. 12 -10 = 2

hope this helps!!

The bi-weekly deduction for Social Security and Medicare is $90.27.

Since you receive a base salary of $ 14.75 per hour with time-and-a-half for hours in excess of 40 hours per week, and you are paid every two weeks, and Social Security and Medicare are deducted from your pay, and Social Security tax is 6.2% of the gross pay, and Medicare tax is 1.45% of the gross pay, to determine what is the bi-weekly (every two weeks) deduction for Social Security and Medicare, the following calculation must be performed:

Therefore, the bi-weekly deduction for Social Security and Medicare is $90.27.

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Answer:

\(165\).

Step-by-step explanation:

Since repetition isn't allowed, there would be \(11\) choices for the first donut, \((11 - 1) = 10\) choices for the second donut, and \((11 - 2) = 9\) choices for the third donut. If the order in which donuts are placed in the bag matters, there would be \(11 \times 10 \times 9\) unique ways to choose a bag of these donuts.

In practice, donuts in the bag are mixed, and the ordering of donuts doesn't matter. The same way of counting would then count every possible mix of three donuts type \(3 \times 2 \times 1 = 6\) times.

For example, if a bag includes donut of type \(x\), \(y\), and \(z\), the count \(11 \times 10 \times 9\) would include the following \(3 \times 2 \times 1\) arrangements:

Thus, when the order of donuts in the bag doesn't matter, it would be necessary to divide the count \(11 \times 10 \times 9\) by \(3 \times 2 \times 1 = 6\) to find the actual number of donut combinations:

\(\begin{aligned} \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}\).

Using combinatorics notations, the answer to this question is the same as the number of ways to choose an unordered set of \(3\) objects from a set of \(11\) distinct objects:

\(\begin{aligned}\begin{pmatrix}11 \\ 3\end{pmatrix} &= \frac{11 !}{(11 - 3)! \times 3 !} \\ &= \frac{11 !}{8 ! \times 3 !} \\ &= \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}\).

The value of s - t is 2.

It is given in the question that:-

s = 1/4 and,

t = -1.75

We can convert the decimal form of t in the fractional form.

-1(3/4) = -7/4

Hence, according to the data given in the question we can write,

s - t = (1/4)-(-7/4) = (1+7)/4 = 8/4 = 2.

Decimal

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.

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Answer:

8:16 am

Step-by-step explanation:

Answer:

pulling a king out of a deck of cards

Step-by-step explanation:

A compound event is more than one thing happening

The only item listed that has only one thing happening is pulling a king out of a deck of cards, so that is the only one that is not a compound event