Express 2log 4 + 3log 2 as a single logarithm.

A 6log 8
B log 48
C 5log 6
D log 128

The value of x and y are (11.66,5)

Given that,

3x-30=y-----------1

7y-6=3x-----------2

Now, putting the value of equation 1 in equation 2 we get

⇒7(3x-30)-6=3x

⇒21x-210=3x

⇒21x-3x=210

⇒18x=210

⇒x=11.66

now put the value of x in equation 1 we solved earlier we get

⇒3×11.66-30=y

⇒35-30=y

⇒y=35-30

⇒y=5

Therefore the value of x is 11.66 and the value of y is 5

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Answer:

x=−2

Step-by-step explanation:

x2+5x+4−(2x2−10)=2x2−10−(2x2−10)

−x2+5x+14=0

(−x−2)(x−7)=0

−x−2=0

Hence B is the correct option

Answer:

what are you asking?!?

Step-by-step explanation:

Answer: decimal 0.03 fraction 3/10

Step-by-step explanation:

Answer:  m∠5 = 116°

Step-by-step explanation:

Because m∠4 and m∠6 are consecutive interior angles, then we know

         m∠4 + m∠6 = 180

(106 - y) + (3y - 10) = 180

   104 - y + 3x - 10 = 180

                96 + 2y = 180

                         2y = 84

                           y = 42

And also the m∠4 and m∠5 are alternate interior angles, we get:

m∠5 = m∠4 = 3y - 10

Since we also calculate what y is, we just plugin.

mm∠5 = m∠4 = 3(42) - 10 = 126 - 10 = 116

Multicollinearity can be defined as when two independent variables are correlated, multicollinearity occurs. Reason: Only the interactions between the independent variables are considered multicollinear.

Multicollinearity is the prevalence of excessive intercorrelations amongst or extra impartial variables in a more than one regression model. Multicollinearity: Multicollinearity exists whilst or extra of the explanatory variables are extraordinarily correlated.

This is a hassle as it could be tough to disentangle which ones first-rate explains any shared variance with the outcome. It additionally indicates that the 2 variables may also in reality constitute the identical underlying factor. Multicollinearity takes place whilst or extra impartial variables are extraordinarily correlated with each other in a regression model. This method that an impartial variable may be anticipated from any other impartial variable in a regression model.

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The test statistic would be a two-sample t-test, which compares the means of two independent samples by calculating the difference in means between the two samples and dividing the difference by the standard error of the difference.

In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage. For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100).

Describe a percentage example.

The hundredth component, one percent (symbolized as 1%), is expressed as 100 percent, and 200 percent denotes double the quantity specified. For example, 1% of 1,000 chickens equals 1/100 of 1,000, or 10 chickens, and 20% of the total is equal to 20% of 1,000, or 200.

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The slope would be the same on the graph.

What is a slope?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

                The slope-intercept form of an equation is used to represent each time the equation of a line is stated as y = mx + b.

                      M represents the line's slope. Additionally, b is the b in the y-intercepting point (0, b). For instance, the y-intercept is at (0, 7) and the slope is 3 in the equation y = 3x - 7.

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Answer:

Year 1:

Lawson; 14+3=17

Ezra; 8+5=13

Year 2:

Lawson; 17+3=20

Ezra; 13+5=18

Year 3:

Lawson; 20+3=23

Ezra; 18+5=23

The factorization of the given  polynomial by greatest monomial factor is given as 3b⁵(1 + 5b - 6b²).

The factorization of a polynomial can be done by taking out the common part to all of its terms and then expressing it as the product of those parts.

The given polynomial is 3b⁵ + 15b⁴- 18b⁷

It can be factorized as follows,

The largest factor common for all the terms of 3b⁵ + 15b⁴- 18b⁷ is 3b⁵.

Then, the given expression can be written as,

3b⁵ + 15b⁴- 18b⁷

= 3b⁵(1 + 5b - 6b²)

Hence, the given polynomial can be factorized as 3b⁵(1 + 5b - 6b²).

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Answer:

186- none of those answers are correct, the right answer is one hundred eighty six miles

Step-by-step explanation:

623

-437

____

186

Answer:

The difference in the number of miles run by Kiki during practice is 186 miles.

Step-by-step explanation:

Given that Kiki runs 437 miles during the first week of track practice and she runs 623 miles during the second week of track practice.

The difference in miles will be:

= 623 - 437 = 186 miles.

Autumn's songs were played in 2 movies and 8 commercials combined.

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

Assume that y is the total number of movies that featured Autumn's songs, and x is the total number of commercials.

There will be the following equations that describe the given issue:

Here

30x+120y=480

x + 4y = 16 equation 1.

and

x + y = 10

y = 10-x equation 2.

putting eq 2 in 1 we have

x+4(10x) = 16

⇒-3x+40= 16

⇒x=8

⇒ y = 2

Hence, Autumn's songs were played in 2 movies and 8 commercials combined.

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Answer:

From 1846 to 1847 there was a 30% decrease and from 1847 to 1848 it increased by 51.4%

Step-by-step explanation:

How it decreased by 30%

V2-V1/V1x100

V2=3.5 V1=5

=(3.5−5)|5|×100
=−1.55×100

=−0.3×100

=−30%change

=30%decrease
How it increased by 51.4%
V2-V1/V1x100
V2=5.3 V1=3.5

=(5.3−3.5)|3.5|×100

=1.83.5×100

=0.514286×100

=51.4286%change

=51.4%increase

On simplifying the trigonometric expression [tex](1-sin^2x)cosx[/tex]  we get  [tex]cos^3x[/tex].

there are many ways to simplify trigonometric expressions. The simplest one is to use trigonometric identities.

                                                  [tex](1-sin^2x)cosx[/tex]

now, accordingly, we use the following identity of trigonometry to simplify

                                               [tex]sin^2x+cos^2x=1\\\\[/tex]

subtract sin^2x on both sides of this trigonometric identity we get

                                      [tex]sin^2x-sin^2x+cos^2x=1-sin^2x[/tex]

so by canceling similar terms from the left side we get

                                              [tex]1-sin^2x=cos^2x[/tex]

so by putting it in the first expression we get  

                                              [tex](1-sin^2x)cosx[/tex][tex]=cos^2x(cosx)[/tex]

finally, we get

                                                                          [tex]=cos^3x[/tex]

so by simplifying the trigonometric expression [tex](1-sin^2x)cosx[/tex]   using trigonometric identities we get  [tex]cos^3x[/tex].

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The Least common denominator of the given fractions is 12.

What is least common denominator?

The lowest common multiple of the denominators of a group of fractions is known as the lowest common denominator, or LCD, in mathematics. It makes adding, taking away, and comparing fractions easier.

Consider the given fraction, 3/4 and 1/6

The denominator are 4 and 6.

The multiples of 4 are, 4, 8, 12, 16, 20.

And the multiples of 6 are, 6, 12, 18, 24, 30.

From the above listed multiples of 4 and 6, 12 is the least common multiple of both the numbers.

Hence, the Least common denominator of the given fractions is 12.

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Answer:

21%

Step-by-step explanation:

Step-by-step explanation:

1) divide 134 by 106

106/134 is about 0.79

2) Multiply by 100 to find the percentage

0.79(100)= 79%

3) Subtract 79% from 100% to find the percentage difference

100%-79%= 21%

Therefore, the percent of change between 134 and 106 is 21%.

the width of the actual porch will be 20 feet.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A rectangle is a closed, four-sided figure in two dimensions. All of a rectangle's angles are equal to 90 degrees, and its opposite sides are equal and parallel to one another. See the shape, sides, and angles of the rectangle in the illustration below.

The scale of the Drawing was 14:5

If the width of the porch is 56 inches then what is the length of the porch

Since the scale of the drawing is 14:5 this implies that ratio of width of drawing and the original is 14:5.

Let x be the original width of porch and the width of the drawing is given as 56 inches, therefore by the given ratio we have

56:x=14:5

x = 56*5/14 = 20 feet

Hence the width of the actual porch will be 20 feet.

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The average rate of change of the function at the interval -2 < x < 8 is 1.5

From the question, we have the following parameters that can be used in our computation:

g(x) = 3/2x + 1

The interval is given as

-2 < x < 8

This interval can be represented as

x = -2 and x = 8

Substitute the known values in the above equation, so, we have the following representation

g(-2) = 3/2(-2) + 1 = -2

g(8) = 3/2(8) + 1 = 13

This means that

g(-2) = -2 and g(8) = 13

The average rate of change is then calculated as

Average rate of change = [g(8) - g(-2)]/[8 + 2]

Substitute the known values in the above equation, so, we have the following representation

Average rate of change = [13 + 2]/[8 + 2]

Evaluate the expression

Average rate of change = 1.5

Hence, the rate is 1.5

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The length of WX = 25, WY = 25, XY = 17.

Isosceles triangles have two sides that have the same length.

 ABC, if it is an isosceles triangle then AB=AC

Properties of isosceles triangle used in this question:

In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal and its reverse also hold.

ABC is an isosceles triangle AB=AC then

                                 ∠B =∠C

Given: ΔWXY, ∠X = ∠Y

       Therefore, WX = WY

WX = 9x-11

WY = 7x-3

XY = 4x=1

9x-11 = 7x-3

9x-7x = -3+11

2x = 8

x = 4

We can calculate easily all the side with the help of x value

WX = 9x-11 = 9*4 -11 = 26-11

                        = 25

WY = 7 x (-3) = (7×4)– 3 = 28-3

                       = 25

XY = 4x=1 = (4×4) +1 = 16+1

                       = 17

Hence, we get all the sides.

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The whole value can be found by using a phenomenon known as proportion

What is percentage?

A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a measurement system.

Now we are given a percent p of a value let us say x and that value be v

We have to find the initial value let us say that value to be 'P'

To find that we use proportion

That is ratio of value to their respective percentage will be equal

Hence we will have

P/100 = v/ x

P= (v/x)*100

Hence we get the initial value

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Step-by-step explanation:

Let us take the first number x and second be y

So,

4/9 = 12/x = 40/90 = y/108

Now,

4/9 = 12/x

4x = 12(9)

4x = 108

4x/4 = 108/4

x = 27

Now,

40/90 = y/108

4/9 = y/108

4(108) = 9y

432 = 9y

9y = 432

9y/9 = 432/9

y = 48

Now,

4/9 = 12/x = 40/90 = y/108

4/9 = 12/27 = 40/90 = 48/108 = 0.44

The two plans will cost the same when Lucy has driven 550miles. ($55 + $0.50 x 550)= $330

(0.6*550)=$330

The difference between both the trip rate is .10$

and the difference between initial fee is 55$

so after 1 mile the difference is .10$

the 55$can be earn after

55*10=550 mile.

Divide the overall distance traveled by the time period to find the average speed. An someone traveling at an average speed of 40 miles divided by 40 minutes, or 1 mile per minute, would be driving 20 miles north and then 20 miles south to arrive at the same location (60 mph)

The overall distance traveled by an object over the total amount of time is the thing's average speed. The average speed v of an object during a motion that covers a total distance of d and a total duration of t can be estimated using the formula v = d t.

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True, Mandy claims that there are no fixes for the system.

What do you mean by the system of linear equation?

A system of linear equations is usually a set of two linear equations in two variables. A linear equation in two variables has an infinite number of solutions. The goal of solving a system of equations is to transform two bivariate equations into a single univariate equation.

Given system of linear equation:

9x + 15y = 6 ....(1)

5y = -3x + 4 ....(2)

Using elimination method,

Substitute the value of x from eq (1) to eq(2)

9x + 15y = 6

9x = 6 - 15y

x = [tex]\frac{6-15y}{9}[/tex]

Now, substitute this in eq(2)

5y = - 3x + 4

5y = -3( [tex]\frac{6-15y}{9}[/tex]) + 4

5y = -1([tex]\frac{6-15y}{3}[/tex]) + 4

5y = -2 + 5y + 4

5y - 5y = 2

0 = 2

Which is not possible, hence given system of linear equation has no solution.

Hence, Mandy's statement is true.

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The required quadratic equation which has the roots -2, and -3 is (C) x²+5x+6=0.

Any equation in algebra that can be written in the standard form where x stands for an unspecified amount, where a, b, and c stand for known values, and where a 0 is true is known as a quadratic equation.

Factoring, using square roots, completing the square, and the quadratic formula is the four ways to solve a quadratic problem.

So, the product of a quadratic equation's elements can be used to represent any quadratic equation.

The necessary equation is created as follows:

(x - (-2))(x - (-3)) = 0

(x + 2)(x + 3) = 0

x² + 5x + 6 = 0

Therefore, the required quadratic equation which has the roots -2, and -3 is (C) x² + 5x + 6 = 0.

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Correct question:
Form a quadratic equation whose roots are -2,-3.

(A) x² - 6x + 5 = 0

(B) x² - 5x - 6 = 0

(C) x² + 5x + 6 = 0

(D) x² - 5x + 6 = 0

Answer:

see explanation

Step-by-step explanation:

since both AB and CD are at right angles to AE then

AB and CD are parallel lines.

since AB and AE are at right angles to each other then

AB and AE are perpendicular lines

no LLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL

Using the Pythagorean Theorem, the length of the base is: 15 units.

The Pythagorean theorem is used to find any of the length of the legs or hypotenuse of a right triangle if we know any two measures of its side. The theorem is given as: the square of the hypotenuse = sum of the squares of the legs of the right triangle.

It can be expressed as c² = a² + b², where c is the longest side of the right triangle.

Note: The hypotenuse is the longest side of the triangle.

Thus, given the triangle in the image below, where:

c = 25

a = 20

b = length of the base

The expression that would be appropriate for this situation would be written based on the Pythagorean Theorem, which is:

b = √(c² - a²)

Substitute

b = √(25² - 20²)

b = 15 units

The length of the base is: 15 units.

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Answer:

7a+9b

Step-by-step explanation:

Answer:

9z^2 -7

Step-by-step explanation:

(z9z−5)−2.

(9z^2−5)−2.

9z^2-5 -2

9z^2-7

Write the problem as a mathematical expression.

Multiply

z9 by z  by adding the exponents.

Subtract

2 from  −5  .

ANSWER:

z^10 − 7

This probability means that in a very long series of hands of poker, about 8.8% of the time we will get 4 of a kind.

The results of a chance process are unpredictable, yet they follow a predictable distribution over a large number of repeats. The frequency of a particular occurrence happening across many repeats approaches a single number, according to the law of large numbers. The likelihood of a chance result is determined by its long-term relative frequency. The probability given in the question is 88/1000, which means that we should anticipate 88 poker hands with a four-of-a-kind for every 100 hands with a pair.

The probability stated in the question for different Texas hold'em poker games has this meaning. Because it is also possible that 87 or 89 of 1000 such hands will have four of a kind, this probability does not guarantee that exactly 88 of those hands will contain four of a kind. There are frequently more than 88 fours of a kind, though this isn't always the case.

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