write the equation of the parabola that passes through the point (1,5) and has x-intercepts 2 and 6

Answer: 110 degrees

Step-by-step explanation:

We know that all the angles of a triangle add to 180 degrees. Notice how there are already 60 and 50 degrees on the triangle. In order to find the last angle, we subtract 110 (60+5) from 180 to get 70.

Now, we know that the angle of a straight line is 180.

So, in order to find <BCD, take 70 and subtract it from 180.

Doing this, we find that m<BCD is 110 degrees

The logarithmic form of the equation is [tex]log_{10}\frac{1}{10}=-1[/tex] .

We have given an equation [tex]\frac{1}{10} =10^{-1}}[/tex] .

Taking log on both sides , we get

   [tex]log(\frac{1}{10}) =log(10^{-1})[/tex]                    ..(1)

Applying the property of logarithm which is given by [tex]loga^b=bloga[/tex] in equation (1) ,we get

        [tex]log(\frac{1}{10}) =-log(10)[/tex]

On rearranging the above equation , we get

         [tex]\frac{log(\frac{1}{10})}{log10} =-1[/tex]                          ..(2)

Applying the property of logarithm which is given by [tex]log_xy=\frac{log_ay}{log_ax}[/tex]\

  [tex]\frac{log(\frac{1}{10})}{log10}[/tex]   can be written as  [tex]log_{10}\frac{1}{10}[/tex] using property

Putting in equation (2) , we get

     [tex]log_{10}\frac{1}{10}=-1[/tex]

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The simplified value of the expression using only positive exponents is 9y⁶/x⁸

The expression is given as

(3 x⁻⁴ y³)²

Apply the law of indices to expand the bracket

So, we have

(3 x⁻⁴ y³)² = 3² * x⁻⁴*² y³*²

Evaluate the products of exponents

So, we have

(3 x⁻⁴ y³)² = 3² * x⁻⁸ y⁶

Evaluate the exponents

So, we have

(3 x⁻⁴ y³)² = 9 * x⁻⁸ y⁶

Apply the law of indices to rewrite negative exponent

So, we have

(3 x⁻⁴ y³)² = 9y⁶/x⁸

Hence, the simplified value of the expression using only positive exponents is 9y⁶/x⁸

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Density ( in grams per cup )= 3593

Density( in kilograms per cubic foot )=430

1 kilogram per cubic foot = 8.36 grams per cup

Density ( in grams per cup )= 3593

The density of a material indicates the density of that material in a specific area. The density of a material is defined as its mass per unit volume. Density is a measurement of how closely matter is packed together. It is a distinct physical property of a specific object. Archimedes, a Greek scientist, discovered the density principle. If you know the formula and understand the units, calculating density is simple. Density is represented by the symbol, which can also be represented by the letter D.

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The image of the triangle at point L is L' = (-8, 4)

The vertices of the triangle are given as:

L(4, 8), M(4, 3), and N(8, 8)

The transformation rule is given as

270 degrees rotation

The rule of 270 degrees rotation is

(x,y) = (-y , x)

When the above rule is applied to the vertices of the triangle, we have:

L' = (-8, 4)

Hence, the image of the triangle at point L is L' = (-8, 4)

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Prime numbers are those numbers that are divisible only by the number itself and by 1. Such numbers are 2, 3, 5, and 7 etc.

Factorization is when we write a given mathematical term in product of its various factors. Suppose we are provided with a mathematical expression of:

x^2 + 3x + 2

We will undergo its Factorization and write the expression in its possible factors:

( x + 1 ) ( x + 2)

By multiplying these factors, we will get the actual expression x^2 + 3x + 2.

Prime Factorization is a method of identifying which prime numbers multiply together to give the original value/expression.

Suppose we have a number 60, then the prime factors of it will be:

60

6  x  10

2 x 3    2 x 5

In the problem statement above, we are provided with some popular dog breeds, and we are expected to find the prime factors of each of the given weights of the breed.

The weights that have a prime factorization of exactly three number are as follows:

Prime factors of 20 (Cocker Spaniel)

= 2 x 2 x 5

Prime factors of 50 (Siberian Husky)

= 2 x 5 x 5

Prime factors of 70 (Golden Retriever)

= 2 x 5 x 7

Weights that have the same number in their prime factorization are:

Prime factors of 81 (German Shepherd)

= 3 x 3 x 3 x 3

Prime factors of 25 (Beagle)

= 5 x 5

So, the prime factorization of the weights of the dog breeds are being found. While Labrador Retriever 67 is a prime number itself.

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Derek Jeter average was 4.9%greater than Jorge Posada 4.9% expressed as a percent.

To express decimal as percent we need to multiply the decimal with 100 .

The average or mean is defined as the sum divided by the frequency.

Here we have four averages given in decimal

Derek Jeter average in percentage =0.334*100=33.4%

Alex Rodriguez average in percentage=0.286*100=28.6%

Jorge posada average in percentage =0.285*100=28.5%

Hideki Matsui average in percentage=0.274*100=27.4%

From the above percentages Derek Jeter average was 4.9%greater than Jorge Posada =33.4-28.5=4.9%

Or we can say it as Derek peter percentage was 14.68% greater than Jorge Posada on a scale of 100 percentage.

Hence  Derek peter percentage was 14.68% greater than Jorge Posada on a scale of 100 percentage and  Derek Jeter average was 4.9% greater than Jorge Posada 4.9%.

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your ans

Step-by-step explanation:

the value of x is 6

The value of x will be 6 for the given triangle.

Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Given that in the right-angle triangle, the hypotenuse is 10, the base is 8 and the perpendicular is x.

The value of x will be calculated as:-

x² = 10² - 8²

x² = 100  - 64

x² = 64

x = √36

x = 6

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Answer:

True

Step-by-step explanation:

Answer:

the third option I think it says (-1,4)

Step-by-step explanation:

So the directions are basically asking to turn in the paper 3 times ending up in the 1st quadrant. Because 90*3 equals 270 degrees. There would be only one point in the negative and there are 2 options. So, we would immediately know that the first option or the last option is wrong. I don't really know how to explain this without drawing so if you could try turning your paper 3 times then you'll see what I mean. Comment if you need any more help. Or if you have any questions. My explanation is pretty bad I apologize.

Answer:

so your first number in your plotted points is the x value and the next is the y value as shown here (x,y) so if it needs to go up 2 and right 1 what we do is increase the -1 to a 0 because you are moving right on the graph which makes it become a positive. now if you were to move up 2 that is your y coordinate because y controls up and down movement while x controls left and right movement so you would increase the 8 to 10 so you'll find no coordinates would end up being (0,10)

Answer:The width of the patio on the drawing is 8 in.

Step-by-step explanation:

Relation r is not a function and Inverse function because a single

input gives several outputs.

1. Identity Relation: In an identity relation, every element is related to itself. Its notation is I = (a, a), A.

2. Empty relation: In an empty relation, there will be no connection between the set's components. This is a subset of.

3. Reflexive relation: Each element is mapped to itself in a reflexive relation. If (a, a) R for all aR, a relation R in a set A is automatic.

4. An irreflexive relation exists when two elements are not related to one another.

5. Inverse relation: An inverse relation exists when a set contains elements that are inverse pairs of those in another set. For instance, R-1 = (q,p), (s,r) if A = (p,q), (r,s), etc.

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Answer:

I believe its 3.5, 6

Step-by-step explanation:

the right arrow points to the last box and after 4 it goes to 5 then 6

the left arrow points at the 3 quarters between 4 and 2 so it's technically 3.5

hope it helps!

The required solution of the given statement is 0 the smaller integer and 2 for the bigger integer.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

The statement is three times the smaller of three consecutive even integers is four less than twice the larger

According to given question we have

Let the even integers be x and x + 2 .

Here, x is the smaller integer

(x + 2) the bigger integer.

By the equation is

3x =2(x + 2)-4

compare the like terms we get

x=4-4

x=0

The smaller integer=0

The bigger integer= 0+2=2

Therefore, the required solution of the given statement is 0 the smaller integer and 2 for the bigger integer.

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2 + z * −1/3 = 3

if that is how it is grouped, your answer is -3

Answer:

14

Step-by-step explanation:

19 - 5 = 14

Answer:

the difference would be 14

Answer:

y=-4

Step-by-step explanation:

-7y=28

DIVIDE BY -7

28/-7=-4

Answer=-4

The correct argument in support of the team that should be awarded the prize is; Team A because their distribution of total call times is skewed to the right, which shows the majority of total call times are less than the mean.

A skewed distribution is a distribution which is non-symmetric and also it has no mirror-imaging.

One common characteristic of skewed distributions, is that one tail of the distribution will be quite longer or drawn out relative to the other tail.

A distribution is said to be skewed right when one of the tail is on the right side.

A distribution is said to be skewed left when one of the tail is on the left side.

Now, we want to find the correct argument in support of the team that should be awarded the prize.

Looking at the two graphs of team A and B, we see that team A has a distribution that is skewed to the right which means majority of total call times are less than the mean.

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In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4

The cube root of 63 would be gotten from a calculator when we use this formula

[tex]^3\sqrt{63}[/tex]

The solution that we would have from the calculator would be 3.97. The value 3.97 is known to be greater than 3 by a lot but just a little less than 4 on the number line.

3.97 can be approximated to be 4. Hence we can say that In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4

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Answer:

100 + 35x = 240

240 - 100 = 140 = 35x

140/35 = 4

Step-by-step explanation:

4 hours, not a bad pay o.o

Answer:

4 Hours

Step-by-step explanation:

Let y=money

Let x= Hours

y=mx+b

240=35x+100

minus 100

140=35x

divide 35

4=x

After evaluating the logarithm log ₇ 49, we get the result as 2.

The common logarithm is also known as the base 10 logarithm. It is represented by log10 or simply log.

For example, the common logarithm of 1000 is written as log(1000). The common logarithm defines how many times we need to multiply by 10 to get the required output.  The natural logarithm is called the logarithm of base e. The natural logarithm is represented by ln or loge. Here, "e" stands for Euler's constant which is approximately equal to 2.71828.

We need to evaluate log ₇ 49

x = log₇ 49

We can also write it as:

7ˣ = 49

7ˣ = 7²

Comparing the bases, we get that:

x = 2

Therefore, after evaluating the logarithm log ₇ 49, we get the result as 2.

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The correct value of the expression is 9 and to evaluate correctly the multiplication of 2 and 0 that 2(0) must be written 0.

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

The constraint of expression is represented as = or <, >.

Given the expression,

x² - 2(x - 3) when x = 3

⇒ x² - 2(x - 3)

⇒ 3² - 2(3 - 3)

⇒ 3² - 2(0)

⇒ 9 - 0

⇒ 9.

Hence "The correct value of the expression is 9".

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The given question is an incomplete complete question shown below in the image ;

Sometimes in math we describe an expression with a phrase

"2 more than 5"

can be written as the expression

2 + 5.

Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/variable, Math Operator, Number/variable)

There are two ways to write the given expression in words

1.The sum of the quotient of the number k by the number 3 and the number 16.

the sum (+)

quotient k/3 = k : 3

2.The sum of the third part of the number k and the number 16.

third part = k/3

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APR include: Interest on the loan

What does APR mean?

The APR which means annual percentage rate, is the interest rate on the loan, it is expressed in annual terms which is normally compounded monthly, by monthly compounding I mean the interest is computed on monthly basis.

APR has does not have anything to do with the principle and term of the loan since the principle is the loan amount and the term is the number of periods that the borrower is allowed to make repayments until the loan is fully repaid

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Answer:

Hi i think your question implies that

Step-by-step explanation:

3xy × 2x

=6x²y

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