PLEASE HELP ASAP WILL GIVE BRAINLIST 11!
The approximate weights of two animals are 5.36 x 10^4 lbs. and 6.2 x 10^4 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits.

12 x 10^4 lbs.
5.9 x 10^4 lbs.
1.22 x 10^5 lbs.
1.2 x 10^5 lbs.

Answer:

C

Step-by-step explanation:

longer leg/shorter leg = longer leg/shorter leg

10/5 = 5/2.5

Answer:

n = 129

Step-by-step explanation:

Reference angle = 60°

Hypotenuse = n

Adjacent side = 64.5

Apply CAH, which is:

Cos 60 = adj/hyp

Cos 60 = 64.5/n

Multiply both sides by n

n×Cos 60 = 64.5

Divide both sides by cos 60

n = 64.5/Cos 60

n = 64.5/0.5

n = 129

Answer:

Lower limit: 11.7 cm

Upper limit: 16.263

Explanation:

The formula to find the lower and upper limits of the confidence interval (given the data is normally distributed) is :

Where:

• μ = sample mean

• σ = sample standard deviation

• Z* = critical value of the z-distribution

• n = is the sample size

In this case:

• μ = 14cm

• σ = 4cm

• n = 12

The critical value of the z-distribution for a confidence interval of 95% is Z* = 1.96

Now, we can use the formula above to find the upper and lower limit:

Thus:

Rounded to one decimal:

Lower limit: 11.7cm

Upper limit: 16.3cm

The required probability is 0.970 (approx.) or 97/100 (in fraction).

Given that 69% of people in a large population have been vaccinated. We are required to determine the probability of at least one person being vaccinated if three people are randomly selected. Let's solve it using the complement rule.

The complement rule states that the probability of an event occurring is equal to 1 minus the probability of that event not occurring. That is, if A is an event, then P(A) = 1 - P(A').

We can solve the given problem using the complement rule as follows: Let P(A) be the probability of at least one person being vaccinated.

Then, the probability of no one being vaccinated is P(A') = (100 - 69) = 31%.

To find the probability of at least one person being vaccinated, we can subtract the probability of none of them being vaccinated from 1. That is, P(A) = 1 - P(A') = 1 - 0.31 × 0.31 × 0.31 = 1 - 0.029791 = 0.97021.

Hence, the probability of at least one person being vaccinated if three people are randomly selected is 0.97021 (rounded to 3 decimal places).

Therefore, the required probability is 0.970 (approx.) or 97/100 (in fraction).

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Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer:

2.62 ft./min

Step-by-step explanation:

Just took the test.

The equation of the line is (y - 1/12) = -4/3(x - 7/5).

What is the slope of a line?

A line's slope in mathematics is defined as the ratio of the change in the y coordinates to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are represented by y and x, respectively.

Consequently, the formula for the change in the y-coordinate with respect to the change in the x-coordinate is

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line can be depicted by

tan θ = Δy/Δx

So, the slope of a line is tan.

The given equation of a line is:

3x-4y=7

-4y = -3x + 7

y = 3/4 x - 7/4

The slope of the line is 3/4.

The slope of the line perpendicular to the given line is - 1/m = - 4/3

The point-slope of a line is y - y₁ = m(x - x₁).

The given point is (7/5,1/12)

The equation of the line is

(y - 1/12) = -4/3(x - 7/5)

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Answer:

t = I/(Pr)

Step-by-step explanation:

We divide P*r on both sides to isolate t and we get t=I/(P*r)

The answer after performing mathematical operation is 8.97998 .

What is mathematical operations?

  In order to add, subtract, multiply, or divide two or more quantities, one must perform a series of four fundamental operations known as mathematical operations. They involve the study of numbers and the order of operations, which are important in all other areas of mathematics like algebra, data processing, and geometry. Without employing mathematical operation rules, we are unable to solve the issue. The addition, subtraction, multiplication, and division operations all follow the same four fundamental rules.

Here the given ,

=> 5.87998 + 3.100

=>  5.87998

  + 3.10000

--------------------

    8.97998

=> 5.87998+3.100=[8.97998]

Hence after performing mathematical operations the answer is 8.97998.

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Answer:

C

Step-by-step explanation:

The volume of a box (rectangular prism) is given by:

\(\displaystyle V = \ell wh\)

We are given that the desired volume is 540 cubic inches. The width is three inches longer than the length and the height is four inches longer than the length. Substitute:

\(\displaystyle (540) = \ell(\ell + 3)(\ell + 4)\)

Solve for the length. Expand:

\(\displaystyle \begin{aligned} 540 &= \ell (\ell^2 + 7\ell +12) \\ 540&= \ell ^3 + 7\ell^2 +12\ell \\ \ell^3 + 7\ell ^2 +12\ell -540 &= 0\end{aligned}\)

We cannot solve by grouping, so we can consider using the Rational Root Theorem. Our possible roots are:

±1, ±2, ±3, ±4, ±5, ±6, ±9, ±10, ±12, ±15, ±18, ±20, ±27, ±30, ±36, ±45, ±54, ±60, ±90, ±108, ±135, ±180, ±270, and/or ±540.

(If you are allowed a graphing calculator, this is not necessary.)

Testing values, we see that:

\(\displaystyle (6)^3 +7(6)^2 + 12(6) -540 \stackrel{\checkmark}{=} 0\)

Hence, one factor is (x - 6).

By synthetic division (shown below), we can see that:

\(\displaystyle \ell^3 + 7\ell^2 +12\ell -540 =(\ell -6)(\ell ^2 + 13\ell +90)\)

The second factor has no real solutions. Hence, our only solution is that l = 6.

In conclusion, our answer is C.

Answer:

6 inches

Step-by-step explanation:

I just took the test

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Answer:The answer is letter E

Step-by-step explanation:

If you divide 4/15 you get 0.2666.

If you solve all of the choices letter E is equivalent to the expression.

From the calculation that we have in the question, the volume of the rectangular prism is 30 cm^3.

A rectangular prism, also known as a rectangular parallelepiped, is a three-dimensional shape that has six rectangular faces, where each pair of opposite faces are congruent and parallel. It can be thought of as a stretched cube, where the length, width, and height are all different.

We have that the volume of the rectangular prism is

V = lbh

V = 2 * 3 * 5

V = 30 cm^3

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Hence the correct option is to translate down 2 unit

Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.

Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.

We have the parent function f(X)= x

and transformed function is g(x)= -3f(x+5)-2

the parent function f(x) is translated dawn 2 units and stretched by 5 .

Hence the correct option is to translate down 2 unit

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Answer:

she will use 4.

Step-by-step explanation:

kajsbsbsjajaja

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

5 + 8 = 13  divisions      5/13  is one part the other is 8/13

5/13 * 520=200  

            the other  is    520-200= 320

The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

Given equation :

y=(x−2)2−8

y = 2x - 4 - 8

= 2x - 12

The final equation is y = 2x - 12.

Compare this equation with slope and y-intercept formula :

y = mx+c

So that c = -12

The value of y-intercept according to the solution is -12.

To find the vertex. Let's assume x=0; Substitute in the equation

y = 2(0) -12

y = -12

The first vertex will be (0, -12)

If x = 1; y = 2(1) -12

y = -10

Then the second vertex will be (1, -10).

Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

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Answer:

14 and 15

Step-by-step explanation:

\(196<201<225 \\ \\ \sqrt{196}<\sqrt{201}<\sqrt{225} \\ \\ 14<\sqrt{201}<15\)

Answer:

Step-by-step explanation:

\(p(\frac{(1+i)^n-1}{i})\\i=.07/12=.0058333\\\\n=27*12\\96(\frac{(1+.0058333)^{12*27}-1}{.0058333})= 91882.2085266=91882.21\)

Answer:

18

Step-by-step explanation:

\(\frac{6}{1/3} =\frac{6*3}{1} \\=18\)

Answer:

Part A:  8x + 24

Part B:  Expressions M and N are not equivalent for any value of x because if you do 8x + 24 = 8x + 10, the 8x will cancel out from both sides and you are left with 24 = 10, which is not true, and therefore has no solution.

Step-by-step explanation:

For Part A, to apply the Distributive Property, you multiple the 4 with both terms in the parentheses. So, you do 4(2x) + 4(6). This expression is equal to 8x + 24.

Hope this helped! :)

Answer:

Step-by-step explanation:

Equation

-6(1-4v) = 3v-8(-6-6v)                  Use the distributive property to get rid of the brackets.

Solution

-6 + 24v = 3v +48 +48v              Combine

-6 + 24v = 51v + 48                     Subtract 24v from both sides

-6 +24v-24v =51v-24v +48         Combine.

-6 = 27v + 48                              Subtract 48 from both sides.

-6-48 = 27v+48-48                     Combine

-54 = 27v                                    Divide by 27

-54/27=27v/27

-2 = v

Answer

v=-2

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

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Answer:

\(12(x - 4)\)

Step-by-step explanation:

The question says, "twelve times the difference of a number and four"

Let's start with the first number, which is twelve = 12. Moving on, we have times = ×, then the difference which is minus(-). A number is unknown, any aphabet can be used to represent the number, so, we represent with 'x', and then four = 4.

Arranging them, we have:

\(12 \times x - 4\)

in algebraic equations, times is always represented by bracket. Therefore, our final answer is:

\(12(x - 4)\)

I hope this helps.

The 100th line segment by using the nth term of a sequence is equal to 20200.

A sequence can be defined as a series of real and natural numbers in which each term or list of elements are ordered in a particular order and repetitions are allowed.

Next, we would determine the differences between the terms in this sequence until all the differences are the same:

12 - 4 = 8

24 - 12 = 12

40 - 24 = 16

12 - 8 = 4

16 - 12 = 4

Since the differences are the same, the sequence is a quadratic function and it contains an n² term. Also, the coefficient of n² is one-half of the equal difference. This ultimately implies that, the coefficient of n² is equal to 2.

In order to determine the nth term of this sequence, we would develop a table to model increment:

n                    1       2       3      4

2n²                2       8      18    32

Operation    +2     +4     +6    +8

Sequence     4       12     24   40

By critically observing the table above, we can logically deduce that the nth term of this sequence is given by:

aₙ = 2n² + 2n

a₁₀₀ = 2(100)² + 2(100)

a₁₀₀ = 2(10000) + 2(100)

a₁₀₀ = 20000 + 200

a₁₀₀ = 20200.

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The radius of the circle defined by the equation (x-x₁)² + (y-y₁)² is given by the formula √((x - x₁)² + (y - y₁)²).

You have been asked to find the radius of a circle that is defined by the equation (x-₁)² + (y-₁)². This equation represents all the points that are a certain distance away from the point (₁,₁).

To find the radius, we need to determine the distance from the center (₁,₁) to any point on the circle. Since the circle is defined by the equation (x- x₁)² + (y- y₁)², we can use the distance formula to find the radius.

The distance formula states that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

distance = √((x₂ - x₁)² + (y₂ - y₁)²)

In this case, we want to find the distance from the center (₁,₁) to a point on the circle (x,y). Using the distance formula, we can write:

radius = √((x - x₁)² + (y - y₁)²)

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