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2 years ago

In 448244 how is the relationship between the first pair of 4s the same as the relationship between the second pair of 4s

2 answers:

8 0

The the relationship between first pair of 4s have the same relationship as the one between the second pair of 4s because the in the first pair, the 4 in the ones place is worth 4 and the 4 in the tens place is worth 40. In the second pair of 4s, the 4 in the thousands place is worth 4,000 and the 4 in the ten-thousands place is worth 40,000. Hope this helps!

padilas [110]2 years ago

8 0

Answer:

In 448244, the relationship between the first pair of 4's is the same as the relationship between the second pair of 4's like -

In 448244 we can see that in both pairs(left side and right side pairs), the 4 on the left is ten times the amount of the 4 on the right side.

The left 44 has one 4 ten times the other and the same is in the right pair.

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Laurel is a huge fan of hats, she likes all kinds of hats and recently started collecting them. She already owns 3 hats. She pla

horsena [70]

Answer:

y=3+x

Step-by-step explanation:

If you are ever unsure about how to proceed with a math problem, one thing I find very helpful is to imagine the scenario and sub in the numbers. That's always helped me

At the very beginning, when

x=0, Laurel hasn't bought any new hats yet, she owns 3 hats, so y=3.

After the first month, when x=1, laurel owns 3 hats, plus the 1 hat she just bought. She now owns y=3+1 hats.

After the second month, when

x=2, laurel owns 3 hats, plus the 2

new hats she bought after she started collecting hats. She now owns y=3+2

hats.

Now, we can write the function.

y=3+x

7 0

2 years ago

What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?

kotegsom [21]

Answer:

835.49

Step-by-step explanation:

selling price = original cost + markup value

We need to find the markup

markup = original cost * markup percent

= $784.50 * 6.5%

= $784.50 *.06.5

=50.9925

Rounding to the nearest cent

=50.99

selling price = original cost + markup value

=784.50+50.99

835.49

6 0

1 year ago

Which is the simplified form of the expression (StartFraction (x Superscript negative 3 Baseline) (y squared) Over (x Superscrip

Vlad [161]

Answer:

The simplified form of the expression is $\frac{1}{x^{7} y^{4}}$ .

Step-by-step explanation:

The expression is:

$\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}$

The division rule of exponents is:

$a^{m}\div a^{n}=a^{m-n}$

The negative exponent rule is:

$a^{-m}=\frac{1}{a^{m}}$

Simplify the expression as follows:

$\frac{x^{-3}\cdot y^{2}}{x^{4}\cdot y^{6}}=[x^{-3-4}]\times [y^{2-6}]$

$=x^{-7}\times y^{-4}\\\\=\frac{1}{x^{7} y^{4}}$

Thus, the simplified form of the expression is $\frac{1}{x^{7} y^{4}}$ .

8 0

2 years ago

Read 2 more answers

Evaluate the triple integral ∭ExydV where E is the solid tetrahedon with vertices (0,0,0),(5,0,0),(0,9,0),(0,0,4).

Elan Coil [88]

Answer: $\int\limits^a_E {\int\limits^a_E {\int\limits^a_E {xy} } \, dV$ = 1087.5

Step-by-step explanation: To evaluate the triple integral, first an equation of a plane is needed, since the tetrahedon is a geometric form that occupies a 3 dimensional plane. The region of the integral is in the attachment.

An equation of a plane is found with a point and a normal vector. Normal vector is a perpendicular vector on the plane.

Given the points, determine the vectors:

P = (5,0,0); Q = (0,9,0); R = (0,0,4)

vector PQ = (5,0,0) - (0,9,0) = (5,-9,0)

vector QR = (0,9,0) - (0,0,4) = (0,9,-4)

Knowing that cross product of two vectors will be perpendicular to these vectors, you can use the cross product as normal vector:

n = PQ × QR = $\left[\begin{array}{ccc}i&j&k\\5&-9&0\\0&9&-4\end{array}\right]$ $\left[\begin{array}{ccc}i&j\\5&-9\\0&9\end{array}\right]$

n = 36i + 0j + 45k - (0k + 0i - 20j)

n = 36i + 20j + 45k

Equation of a plane is generally given by:

$a(x-x_{0}) + b(y-y_{0}) + c(z-z_{0}) = 0$

Then, replacing with point P and normal vector n:

$36(x-5) + 20(y-0) + 45(z-0) = 0$

The equation is: 36x + 20y + 45z - 180 = 0

Second, in evaluating the triple integral, set limits:

In terms of z:

$z = \frac{180-36x-20y}{45}$

When z = 0:

$y = 9 + \frac{-9x}{5}$

When z=0 and y=0:

x = 5

Then, triple integral is:

$\int\limits^5_0 {\int\limits {\int\ {xy} \, dz } \, dy } \, dx$

Calculating:

$\int\limits^5_0 {\int\limits {\int\ {xyz} \, dy } \, dx$

$\int\limits^5_0 {\int\limits {\int\ {xy(\frac{180-36x-20y}{45} - 0 )} \, dy } \, dx$

$\frac{1}{45} \int\limits^5_0 {\int\ {180xy-36x^{2}y-20xy^{2}} \, dy } \, dx$

$\frac{1}{45} \int\limits^5_0 {90xy^{2}-18x^{2}y^{2}-\frac{20}{3} xy^{3} } \, dx$

$\frac{1}{45} \int\limits^5_0 {2430x-1458x^{2}+\frac{94770}{125} x^{3}-\frac{23490}{375}x^{4} } \, dx$

$\frac{1}{45} [30375-60750+118462.5-39150]$

$\int\limits^5_0 {\int\limits {\int\ {xyz} \, dy } \, dx$ = 1087.5

The volume of the tetrahedon is 1087.5 cubic units.

3 0

2 years ago

Determine whether each of these sets is the power set of aset,wherea and b are distinct elements. a) ∅ c) {∅,{a},{∅,a}} b) {∅,{a

bija089 [108]

Answer:

{∅, {a}, {b}, {a,b}}

Step-by-step explanation:

The value of power of a set is generalized by using the formula,

Power of a set (P) = 2^n where n is the number of element in the set.

Given two distinct elements a and b say;

A = {a,b}

n(A) = 2 i.e the number of elements in the set is 2. Therefore the power of the set will be 2^n which gives 2^2 = 4.

P(A) = 4 means there are 4 subsets of the given set. Subsets are sets of elements that can be found in the set. The subsets of element A will be;

{∅, {a}, {b}, {a,b}} which gives 4 elements in total.

Note that empty set ∅ is always part of the subset of any given set

3 0

2 years ago