Mind helping me out?

Weight is in Olivia's backpack is 5/6 pound.

As in the given problem olivia's  history book weights 1/2 of a pound and

her lunch weighs 2/3 of a pound.

As both the units are same,

Thus total weight must be summation of both history book and her lunch  box.

total weight is =1/2 +2/3 pound

= (3+2)/6

that is equal to 5/6 pound.

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84percent of Senate incumbents win reelection in the United States.

In the United States, Senate incumbents have a high rate of re-election. This is due to a number of factors, such as name recognition, access to resources, and the advantages of incumbency. According to the Center for Responsive Politics, 84% of Senate incumbents have won re-election since 1982, with an average of 84.5% over that period. This figure is higher than the rate of re-election for House incumbents, which stands at around 90%. This indicates that while incumbency is an advantage in Senate races, it is not as strong as it is in House races.84% of Senate incumbents win reelection in the United States.

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The Approximate percent of senate incumbents that have win the reelection is (d) 84% .

In the united States Of America , The Incumbents  have a very high rate of Re-election because of various factors which are access to resources , the name recognition and advantage of incumbency .

So , by the Center of Responsive Politics , the 84% of  senate incumbents have won the reelection since the year 1982 where the average percent of win is 84.5% .

Whereas , the rate of reelection in the house of incumbents is 90% which is higher that the Senate Incumbents .

Therefore , approximately 84% of the senate incumbents win the re-election .

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Step-by-step explanation:

\(2 log(x) - log(x - 2) = 2 log(3) \)

\( log(x {}^{2} ) - log(x - 2) = log(9) \)

\( log( \frac{ {x}^{2} }{x - 2} ) = log(9) \)

\( \frac{ {x}^{2} }{x - 2} = 9\)

\( {x}^{2} = 9x - 18\)

\( {x}^{2} - 9x + 18 = 0\)

\((x - 3)(x - 6) = 0\)

\(x = 3\)

and

\(x = 6\)

a. The missing values of the logarithm expression is log₃(40).

b. The missing values of the logarithm expression is log₅(8).

c. The missing values of the logarithm expression is  log₂(1/25).

The missing values of the logarithm expression is calculated as follows;

(a). log₃5 + log₃8, the expression is simplified as follows;

log₃5 + log₃8 = log₃(5 x 8) = log₃(40)

(b). The log expression is simplified as;

log₅3 - log₅X = log₅3/8

log₅X = log₅8

X = 8

(c).  The log expression is simplified as;

-2log₂5 = log₂Y

log₂5⁻² = log₂Y

5⁻² = Y

1/25 = Y

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Answer:

$60

Step-by-step explanation:

12/8 = x/40

40(12/8) = x

60 = x

Answer:

It costs

$60

Step-by-step explanation:

= $12÷8

= $1.5

Now

$1.5×40

= $60

Answer:

the second one

Step-by-step explanation:

can you make me brainliest

Answer:

252-232=20-1=19

Step-by-step explanation:

the question said in between so you don't count the first and the last numbers

Step-by-step explanation:

- x^2 -15x + 54 = 0

x^2 + 15x - 54 = 0

the two solutions will add up to  - b/a  =  - 15

Or you can factor it

( -x^2 -15x+54) = 0

(x+18)(-x+3) = 0     shows x = -18 or 3     sum = - 15

Answer:

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

Given quadratic equation:

Write it in standard form of ax² + bx + c = 0:

According to Vieta's theorem, sum of the two roots is - b/a, that is:

Answer:

Your vehicle will be traveling 110 Feet per Second

Step-by-step explanation:

To find the answer all we have to do is some basic conversion.

1 MPH is equal to 1.4667 FPS.

This means we multiply 1.4667 by 75 and get 110.0025.

Rounded this is 110 FPS.

The length of side X in simple radical form with a rational denominator is 10/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 2 × 5/√3

Hypotenuse, x = 10/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

For the statement "If a polygon lacks right angles, then it is a parallelogram.", the counter example is -

Option A : a right triangle

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

A counterexample for a conditional statement is an example that satisfies the hypothesis (the first part of the statement) but does not satisfy the conclusion (the second part of the statement).

In this case, the statement is "If a polygon lacks right angles, then it is a parallelogram."

A right triangle is a polygon that lacks right angles, but it is not a parallelogram.

Therefore, a right triangle is a counterexample for this statement.

A square, a regular hexagon, and a rectangle all have right angles, so they are not counterexamples for this statement.

Therefore, the triangle is the counterexample.

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Answer:

Step-by-step explanation:

1. Dividends

2. Capital gains

-The discounted present value of the sum of next period's dividend plus next period's stock price

-The discounted present value of all future dividends

P0 = [(Div1)/(1+R)] + [P1/(1+R)]

where Div 1 = expected dividend paid at year's end

P1 = expected price at year's end

R = discount rate

Answer:

$78

Step-by-step explanation:

A share is worth 30% more, so multiply 30% by 60 to get 30% of 60, which is 18. Then, add 18 to 60 because the share is 30% more, and you get 78.

Answer:

The graphs below have the same shape. What is the equation of the blue graph? A. G(x) = (x + 3)^3 B. G(x) = x^3 + 3 C. G(x) = x^3 - 3 D. G(x) = (x - 3)^3

The blue graph is a horizontal shift to the left by 3 units of F(x) = x³.

G(x) = (x + 3)³.

In mathematics, translation is the process of moving an object from one position to another without changing its shape, size, or orientation.

It involves sliding the object in a particular direction by a certain distance.

We have,

From the graph, the blue graph is G(x) = (x + 3)³.

The function f(x) = (x + 3)³ is a transformation of the function f(x) = x³.

Specifically, it is a horizontal shift to the left by 3 units.

To see why,

Let's consider the effect of replacing x with x + 3 in the original function f(x) = x³.

f(x + 3) = (x + 3)³

Notice that f(x + 3) is equal to f(x) translated horizontally to the left by 3 units.

For example, when x = 0, we have:

f(0) = 0³ = 0

f(0 + 3) = 3³ = 27

So the point (0, 0) on the graph of f(x) = x³ is transformed to the point

(-3, 27) on the graph of f(x) = (x + 3)³.

Similarly, we can see that every point on the graph of f(x) = x³ is shifted horizontally to the left by 3 units to obtain the graph of f(x) = (x + 3)³.

Therefore,

The blue graph is G(x) = (x + 3)³.

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In the  Polynomial  function  f(x)= \(2x^{3} -11x^{2} -12x+36 =0 then\)

So all the zeros of f(x) algebraically

\(\mathrm{f}(\mathrm{x}) \ are\ \mathrm{x}=-2, \mathrm{x}=\frac{3}{2}, \mathrm{x}=6$\).

Step: 1

Given\($f(x)=2 x^3-11 x^2-12 x+36$and $f(6)=0 \Rightarrow(x-6)$ is factor of $f(x)$now $f(x)=2 x^3-11 x^2-12 x+36$$$\)

\(\begin{aligned}&\Rightarrow \mathrm{f}(\mathrm{x})=\left(2 \mathrm{x}^2-12 \mathrm{x}^2\right)+\left(\mathrm{x}^2-\right. \\&\Rightarrow \mathrm{f}(\mathrm{x})=2 \mathrm{x}^2(\mathrm{x}-6)+(\mathrm{x}-6)^2 \\&\Rightarrow \mathrm{f}(\mathrm{x})=(\mathrm{x}-6)\left(2 \mathrm{x}^2+\mathrm{x}-6\right)\end{aligned}$$\)

Step: 2

Now consider \($2 x^2+x-6=2 x^2+4 x-3 x-6$$$\begin{aligned}&\Rightarrow 2 x(x+2)-3(x+2) \\&\Rightarrow 2 x^2+x-6=(2 x-3)(x+2)\end{aligned}$$\)

\($5 \circ f(x)=(x-6)\left(2 x^2+x-6\right)$$$\Rightarrow \mathrm{f}(\mathrm{x})=(x-6)(2 \mathrm{x}-3)(\mathrm{x}+2)$$\)

Step: 3

so for finding zeros of

\($f(x) \rightarrow f(x)=0$$$\Rightarrow(x-6)(2 x-3)(x+2)=0$$$$\Rightarrow(x-6)=0 ;(2 x-3)=0 ;(x+2)=0$$\)

\($$\Rightarrow x=6, x=\frac{3}{2} ; x=-2$$\)

Explanation: Please refer to solution in this step.

Answer:

So required zeros of

\(\mathrm{f}(\mathrm{x}) \ are\ \mathrm{x}=-2, \mathrm{x}=\frac{3}{2}, \mathrm{x}=6$\)

A polynomial consists of two words, poly and nominal. "Poly" means many and "nomial" means  term, and so when  combined, polynomials can be said to be "algebraic expressions with many terms." Let's go ahead and start by defining polynomial functions and their types.

The polynomial function in standard form is:

f(x) =  \(a_{n}x^{n} +a_{n-1} x^{n-1} +.....a_{2} x^{2} +a_{1} x+a0\)

This algebraic expression is called a polynomial function of the variable x. The name of a polynomial is determined by the number of terms it contains.

The three most common polynomials we usually encounter are

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let

(hypotenuse ) c = 10 in

(perpendicular) a = 8 in

(base) b =?

By using Pythagoras theorem

c^2= a^2+b^2

(10)^2 = (8)^2 +(b)^2

100 = 64 +(b)^2

100- 64 = (b)^2

36 = (b)^2

√36 = b

6 = b

hence b= 6 in

Answer:

X= -5

Step-by-step explanation:

do you need steps?

5x +7/2 = 3x/2 -14

10x+7/2 = 3x-28/2

2(10x+7) = 2(3x-28)

20x +14 = 6x - 56

20x -6x = -56 - (14)

14x = -70

x = -70/14

x = -5

Answer:

ASC, AIC, APL

Step-by-step explanation:

Tangents make right angles with the center of the circle, so any point angle starting a the center leading to the tangent will be a right angle

Answer:

Step-by-step explanation:

To find:-

Answer:-

We are here given that, SL , PL and IC are tangents . Tangents are lines which touch the circle at only one point. Also , there is a Theorem, which is ,

Theorem:-

From this , we can say that the angles,

\( \angle ASC \) , \( \angle AIC \) and \( \angle APL \) are right angles .

Answer:

The volume in terms of π is 144 ft³

The volume rounded to the nearest tenth is 452.4 ft³

Step-by-step explanation:

The formula of the volume of a cone is V =  π r² h , where r is its radius and h is its height

The formula of the area of a circle is A = π r²

The area of the base of the cone is 36π ft²

Equate the formula of the area of the circle by 36π to find r

πr² = 36π

Divide both sides by π

r² = 36

Take √ to both sides

r = 6 ft

The height of the cone is equal to twice the radius

The radius of the cone is 6 ft

Multiply 6 by 2 to find the height

h = 2(6) = 12 ft

The height of the cone is 12 ft

Subsitute the values of h and r in the formula of the volume of the cone to find it

V =  π(6)²(12)

V = 144 π ft³

V = 452.3893421 ft³

Round it to the nearest tenth

V = 452.4 ft³

Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.

Answer:

-50

Step-by-step explanation:

it could be X-50=?

Answer:

x=17

Divide both sides by the numeric factor on the left side, then solve.

Answer:

x = 17

Step-by-step explanation:

-5 ( x - 10) = -35

-5x + 50 = -35

-5x + 50-50 = -35-50

-5x = -85

-5x ÷ -5

-85 ÷ -5

x = 17

Answer:

b = 8

Step-by-step explanation:

a² + b² = c²

15² + b² = 17²

225 + b² = 289

b² = 64

√b² = 64

b = 8

Answer:

Solving for v.

v = 6

Step-by-step explanation:

Solving for v can be completed by simplifying both sides of the equation, then isolating the variable

Hope this helps!!

Answer:

6

Step-by-step explanation:

8=v+2

Make v the subject of the formula1.

v=8-2

v=6

Answer:

12714.595704

Step-by-step explanation:

(2/2 x 23.34)^3

(1 x 23.34)^3

23.34^3

=12714.595704

     using podmas rule:

==============

\(\dashrightarrow \sf 3 * (7+2) \ \div \ \sqrt{4}\)

\(\dashrightarrow \sf 3 \ * \ 9\ \div \ \sqrt{4}\)

\(\dashrightarrow \sf 3 \ * \ 9\ \div \ 2\)

\(\dashrightarrow \sf 3 \ * \ 4.5\)

\(\dashrightarrow \sf \ 13.5\)

Answer:

13.5

Step-by-step explanation:

\(3*(7+2)/\sqrt{4}\)

You use PEDMAS - priority of calculation

1) Paranthesis

2) Exponents

3) Divide or Multiple (whichever comes first, reading left to right)

4) Add or Subtract (whichever comes first, reading left to right)

so,

Parenthesis first:

\(7+2=9\)

becomes

\(3*9/\sqrt{4}\)

No exponents, so we skip this step

Left to right for multiply or divide: first comes multiply.

\(3*9 = 27\)

becomes

\(27/\sqrt{4}\)

Now, last one is divide:

\(27/\sqrt{4} = 27/2 = 13.5\)

Answer:

45

Step-by-step explanation:

Plug in the numbers with their variables.

6(5)+5(3)

30+15

45

Hope this helps

The value of the expression when k = 9 is 399

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

5k^2 − 6

When the value of k is

k = 9

We have, the following equation

5k^2 − 6 = 5(9)^2 − 6

Evaluate the exponent

5k^2 − 6 = 5 * 81  − 6

Evaluate the product

5k^2 − 6 = 405  − 6

Evaluate the difference

5k^2 − 6 = 399

Hence, the value of the expression when k = 9 is 399

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Answer:

3/10

Step-by-step explanation:

4+6+10

=20

6/20

=3/10

The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

The given planes are A and B,

A new line, p, is drawn parallel to line l,

Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.

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The image of the remaining question is attached below.