Two elephants are being delivered to the zoo. One elephant weighs 23,453 pounds, and the other elephant weighs 19,916 pounds. How many pounds do the elephants weigh together?

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p-\frac{3}{4}=4 } \end{gathered}$}}\)

Add 3/4 to both sides.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=4+\frac{3}{4} } \end{gathered}$}}\)

Convert 4 to the fraction 16/4.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=\frac{16}{4} +\frac{3}{4} } \end{gathered}$}}\)

Since 16/4 and 3/4 have the same denominator, add their numerators to add them together.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=\frac{16+3}{4} \longmapsto \ \ Add } \end{gathered}$}}\)

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{5}{8}p=\frac{19}{4} } \end{gathered}$}}\)

Multiply both sides by 8/5, the reciprocal of 5/8.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{19}{4}\times\left(\frac{5}{8}\right) } \end{gathered}$} }\)

Multiply 19/4 by 8/5 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{19\times8}{4\times5 }\longmapsto \ Multiply } \end{gathered}$}}\)

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{152}{20} } \end{gathered}$}}\)

We reduce the fraction 152/20 to its minimum expression by extracting and canceling 4.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{p=\frac{152}{20} \ \ \longmapsto \ p=\frac{152\div4}{20\div4}=\frac{38}{5} } \end{gathered}$}}\)

Answer:

1440 per hour

Step-by-step explanation:

a) We have to calculate the height of the pad.

We know that the volume will be 4704 cubic feet.

We also know that the base of the pad is a square of side length 56 feet.

As the volume is the area of the base times the height, we can find the height by dividing the volume by the base area:

The height is 1.5 feet.

b) Now, we have a circular pad of which we know the height (1.5 feet) and the volume (4705 ft³). The area of the base will have to be the same as the are of the square: 3136 ft².

The area of this circular pad can be expressed as πD²/4, so we can calculate the diameter D as:

The diameter is approximately 63.21 feet.

Answer:

a) The pad will be 1.5 feet thick

b) The diameter will be 63.21 feet.

Answer:

Zack is correct with the -4.5

Step-by-step explanation:

When multiplying by .5 just cut the number in half so 4.6 becomes 2.3 and since the .5 was negative the 2.3 becomes a negative so -2.3 -2.2=-4.5

Hope this helped.

A brainliest is always appreciated.

Answer:

5cm^3

Step-by-step explanation:

The Distance will be  5.

The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.

Let point (7,5) be A and point (4,9) be B

Distance formula =

Ab  = √(x1- x2) ² + (y1 -y2) ²

Then Distance AB will be

Ab  = √(7-4) ² + (5 -9) ²

= √ 3² + 4²

= √ 9 + 16

= 5

Hence the distance  will be 5.

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The points \((7,5)\)  \((4,9)\) are separated by a distance of \(5\) units.

The distance between the two points is given by the length of the segment between them.

The Distance Formula is a helpful tool for figuring out how far apart two points are when they are arbitrarily represented on a coordinate plane as points A\((x_{1},y_{1})\) and B\((x_{2},y_{2})\).

The Pythagorean Theorem is essentially the source of the Distance Formula. Calculating the right triangle's hypotenuse's length is the fundamental purpose of the distance formula.

Use the distance formula to get the distance between two places.

\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)

In the posted query,

\((x_{1},y_{1})=(7,5)\\\\(x_{2},y_{2})=(4,9)\)

Distance formula,

\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)

\(d = \sqrt{ (4-7)^{2} +(9-5)^{2} }\)

\(d = \sqrt{ (-3)^{2} +(4)^{2} }\)

\(d = \sqrt{ 9+16 }\)

\(d = \sqrt{ 25 }\)

\(d = 5\)

Therefore, the points \((7,5)\)  \((4,9)\) are at a distance of \(5\) units.

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To find the distance between the points shown we subtract each point and the x-axis

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2– x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

Since the two points are on the same coordinate on the x -axis

To find the distance between the two points we subtract the y coordinates of the two points and the x axis.

In conclusion the distance between the two points is found by subtracting the two points and the x -axis

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qwertyuioop;;;;;;lkjhgfdsazxcvbnm,./

Answer:

x times y- q

Step-by-step explanation:

You can use the letters they give you on the answer choices. My answer makes sense because you multiply 48 times 15 and then subtract 32 from it

Answer:

5

Step-by-step explanation:

-20 / -4 = 5

A negative divided by a negative is positive!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Okay, here we have this:

Considering the provided table, we are going to analize if the table shows direct variation, so we obtain the following:

To identify if there is direct variation then we will calculate the ratios between the points, and if they are all the same then the table does show direct variation, then we have:

y=kx

k=y/x

5/2=2.5

45/18=2.5

80/30=2.66

Since the ratios between the points are not the same, then it does not represent a direct variation.

Answer:

C' U (A U B')

Step-by-step explanation:

Using  DeMorgan's laws

(C ∪ A' ∩ B)' = C' U (A' ∩ B)'

(A' ∩ B)' = (A')' U B' = A U B'

So (C ∪ A' ∩ B)' = C' U (A U B')

The fοrmula fοr t in terms οf 2kπ is: t = kπ + π/2, where k is an integer.

Tο draw a unit circle fοr the given cοοrdinates, we first draw the hοrizοntal and vertical axes intersecting at the οrigin (0,0):

Next, we draw a circle with radius 1 centered at the οrigin:

Tο find pοints οn the circle with y-cοοrdinate 1, we lοοk at the pοint where the circle intersects the vertical axis. This οccurs when x = 0, sο the pοint οn the circle with y-cοοrdinate 1 is (0,1):

(0,1)

Tο find οther pοints οn the circle, we can use the Pythagοrean identity:

sin²(t) + cοs²(t) = 1

Since we want y = sin(t) tο be 1, we can sοlve fοr x = cοs(t)

cοs(t) = sqrt(1 - sin²(t))

Using this fοrmula, we can find several pοsitive and negative real numbers t that determine pοints Q οn the circle with y-cοοrdinate 1:

t = 0 radians (0 degrees): Q = (1,0)

t = π/6 radians (30 degrees): Q = (√3/2, 1/2)

t = π/4 radians (45 degrees): Q = (√2/2, √2/2)

t = π/3 radians (60 degrees): Q = (1/2, √3/2)

t = π/2 radians (90 degrees): Q = (0,1)

t = 7π/6 radians (-150 degrees): Q = (-√3/2, 1/2)

t = 3π/4 radians (-135 degrees): Q = (-√2/2, √2/2)

t = 5π/6 radians (-120 degrees): Q = (-1/2, √3/2)

t = π radians (-180 degrees): Q = (-1,0)

Tο write a fοrmula fοr t in terms οf 2kπ, we can use the inverse sine functiοn:

sin(t) = 1

t = sin⁻¹(1) + 2kπ

Since sin(π/2) = 1, we have:

t = π/2 + 2kπ

Sο the fοrmula fοr t in terms οf 2kπ is:

t = kπ + π/2, where k is an integer.

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Answer:

A = 383 \(\frac{1}{4}\) m²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

   = \(\frac{1}{2}\) × 42 × 18 \(\frac{1}{4}\) ( change mixed number to improper fraction )

  = 21 × \(\frac{73}{4}\)

  = \(\frac{21(73)}{4}\)

   = \(\frac{1533}{4}\)

  = 383.25

 = 383 \(\frac{1}{4}\) m²

Step-by-step explanation:

8x +20 = 6x -18

8x -6x = -18 -20

2x = -38

x = -19

Answer:

x=-19

Step by step:

I did the quiz and got it right

The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

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Answer:

3908i is a pure imaginary number.

Step-by-step explanation:

Given that, a number is 3908i

We have to find the type of number which it belongs to from the given set of options

If we observe the number clearly, we can see the “i” behind the number 3908, where “i” value is square root of ( - 1 ).

We know that, “i” is not real, so 3908i is also not real.

And it has other operation like a + bi or a – bi

So, it is just imaginary number but not a complex number.

Hence, the given number is pure imaginary number

Answer:

complex and imaginary

Step-by-step explanation:

Imaginary number contain the letter i in order for them to be recognized

The variable cost per copy if Markson uses the high-low method to analyze costs. will be $0.11.

It should be noted that the variable cost per unit will be calculated as:

= Difference in cost between high and low level activities / Difference in units

= (980 - 760)/(8000 - 6000)

= 220/2000

= 0.11

Therefore, the variable cost per copy if Markson uses the high-low method to analyze costs. will be $0.11.

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3. Given, y = (1/2)x + 5

we need to find its parallel lines. For parallel lines, their slopes are equal If we compare the equation with y = mx + c where m indicates slope and c indicates intercept cut at y axis, then we see that slope of the parallel lines are 1/2. for the x intercept we can take any positive or negative number for example:

two more parallel lines are: y = (1/2)x + 4 & y = (1/2)x - 2

part(1) randomly input values in the equation for x. For example if we take x=2, y becomes, y = (1/2)*2 + 5 = 6. So the point becomes (2,6). In the same way take at least another value to get two point and draw the graph. Here it'd be better to take even numbers for x as in that way you avoid fractional values. Graphing fractional values can be a tedious job.

part(2): I think we covered this at the very beginning

part(3): Let's take the equations from 3.

y = (1/2)x + 4 & y = (1/2)x - 2

here we see that their slope is same when we compare them to y = mx+c

which is 1/2. Thus they are parallel lines

Answer:

Step-by-step explanation:

Answer:

6n+2

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

∠4 ≅ ∠5 are corresponding angle and equal to each other

Answer:

I am not sure if you wrote the questions and its options correctly

Step-by-step explanation:

Putting fence around a rectangular garden would require it's perimeter the perimeter of almost all shapes can be done by adding all the sides

The answer is: 12+7+12+7 which also can be written as: 2(12+7)=38

Which is.. P=2(l+w)

The mass of the cubic cuboid is 1.479 kilograms.

Dimensionally speaking, density (ρ), in kilograms per cubic meter, is mass (m), in kilograms, per unit volume (V), in cubic meters. By the assumption of uniform density within the copper cuboid, the mass of the solid is equal to:

m = ρ · V

Where V is the volume of cuboid, in cubic meters.

And the volume of cuboid is:

V = w · h · l

Where:

Please notice that a kilogram equals 1000 grams and a meter equals 100 centimeters.

First, calculate the volume of the cuboid:

V = (0.05 m) · (0.03 m) · (0.10 m)

V = 1.5 × 10⁻⁴ m³

Second, determine the mass of the cuboid:

m = (9.86 g / cm³) · (1 kg / 1000 g) · (1000000 cm³ / m³) · (1.5 × 10⁻⁴ m³)

m = 1.479 kg

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Answer:

38cm taller

Step-by-step explanation:

jack is 178cm tall

the ladder is 280cm tall

jack standing on the ladder is 280cm taller

so 178+280=458

the tree is 420cm tall

458>420

which means that jack is now taller than the tree standing in the ladder

458-420=38

so jack is 38cm taller than the tree standing on the top of the ladder

Evaluating the limit of f(x) as it approaches 0 on both sides, the function is continuous at x = 0 which makes a = 0

To check if f(x) is continuous at x = 0, we need to evaluate the limit of f(x) as x approaches 0 from both the left and right sides and see if it is equal to f(0).

As x approaches 0, x^2cos(1/x^2) oscillates between -x^2 and x^2. This means that the limit of f(x) as x approaches 0 does not exist because the oscillations do not approach any single value.

Therefore, for f(x) to be continuous at 0, the value of a must be such that f(0) exists and is equal to the limit of f(x) as x approaches 0. The only way for this to happen is if a = 0 because the function value at 0 is defined to be a. In this case, the limit of f(x) as x approaches 0 exists and is equal to 0, which is the same as the value of f(0). Hence, a = 0 is the only value that ensures f(x) is continuous at x = 0.

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Given that

The cost of 1 m ribbon = Rs.75

The cost of 7/5 m ribbon

→ (7/5)×75

→ (7×75)/5

→7×15

→₹ 105

The cost of 7/5 m ribbon is ₹105.

The given function is,

In the given situation the sample space has 16 elements and the sample space is:

1H   2H    3H    4H    5H    6H    7H    8H

1T    2T    3T     4T    5T     6T     7T    8T

A sample space is a set of potential results from a random experiment.

The letter "S" is used to denote the sample space.

Events are the subset of possible experiment results.

Depending on the experiment, a sample area could contain a variety of results.

There are just two possible results when we toss a coin: either head or tail.

So, S = H, T, where H is the head and T is the tail, will be the sample space.

As a result, we are aware that there will be a total of 2n outcomes available if there are 'n' coins.

So, the coin has 2 outcomes which are H and T.

And the spinner has 8 outcomes which are 1 - 8.

Then, the sample space would be as follows:

1H   2H    3H    4H    5H    6H    7H    8H

1T    2T    3T     4T    5T     6T     7T    8T

So, the sample space has a total of 16 elements.

Therefore, in the given situation the sample space has 16 elements and the sample space is:

1H   2H    3H    4H    5H    6H    7H    8H

1T    2T    3T     4T    5T     6T     7T    8T

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4x-40+104 = 180

4x+144 = 180

subtract 144 from both sides

4x = 36

divide both sides by 4

x = 9

An output value for (fog)(x) is 55/(x² + 2x).

Domain = (-∞, 1) U (-2, 0) U (0, ∞) or {x|x ≠ 0, -2}.

In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;

(fog)(x) = 5/(x + 2) × 11/x

(fog)(x) = 55/x(x + 2)

(fog)(x) = 55/(x² + 2x)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

x² + 2x ≠ 0

x² ≠ -2x

x ≠ -2

Domain = (-∞, 1) U (-2, 0) U (0, ∞) or {x|x ≠ 0, -2}.

In conclusion, we can reasonably infer and logically deduce that x must not be equal to 0 and -2.

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