its math's question pleases help me to solve

Answer: 9 inches of wire may be botten.

Step-by-step explanation: First I divided 72 by 12 to find the rate of cents for every inch of wire. I found the rate was 6 cents per inch so I did 6x9= 54.

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The mean is of 0.15. The standard deviation is of 0.0326.0.1774 of incoming kindergarteners are nearsighted.

The central limit theorem and the normal distribution are used to determine that:

a) A 0.15 is the mean.

b) A standard deviation of 0.0326 is present.

c) There is a 0.063 = 6.3% chance that fewer than 10% of the kindergarten applicants have nearsightedness.

d) 0.1774 percent of kindergarten students have nearsightedness.

The mean is of 0.15.

Item b:

s = p (1-p)/n = 0.15(0.85)/120

=  0.0326.

The standard deviation is of 0.0326.

Item c:

The probability is the p-value of Z when X = 0.1.

By the Central Limit Theorem

Z=  0.1 -0.15/ 0.0326.

=  -1.53

Z = -1.53 has a p-value of 0.063.

There is a 0.063 = 6.3% probability that less than 10% of the incoming kindergarteners are nearsighted.

Item d:

X = 0. 1774

The proportion is X when Z has a p-value of 0.8, so X when Z = 0.84.

0.1774 of incoming kindergarteners are nearsighted.

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The measure of side FG for the triangle FGH is equal to 18 using a scale factor of 1/3 to dilate it.

Scale factor is the ratio between the scale of a given original object and a new object, which is its representation but of a different size either bigger or smaller.

The dilation if the triangle FGH implies it is expanded to the bigger triangle F'G'H' with a scale factor 1/3

side F'G' = 6

side FG = 6 ÷ 1/3

side FG = 6 × 3/1 {change division to multiplication}

side FG = 18.

Therefore, the triangle FGH have the measure of its side FG equal to 18 using a scale factor 1/3.

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The solution for the absolute value equation is:

|7 - 11| = 4

Here we want to solve an absolute value equation:

|7 - 11| = ?

First, remember how the absolute value works, it is:

|x| = x  if x  ≥ 0

|x| = -x  if x < 0.

Now let's return to our equation:

|7 - 11|

If we simplify the left side, we will get:

|-4|

Notice that it is a negative number, so we just need to change the sign:

|-4| = 4

Then the equation is:

|7 - 11| = 4

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Answer:

[tex] \sf \: ∣7-11∣ = 4[/tex]

Step-by-step explanation:

Given problem,

→ ∣7 - 11∣

Let's solve the problem,

→ ∣7 - 11∣

→ ∣-4∣ = 4

=> Absolute value

=> It is always positive

Hence, the answer is 4.

Toddler triplets whose names are red, green and blue each have a coat whose colour is given by their name, There are  6ways it can be selected

Generally, There are 3! = 6 ways for the toddler triplets to choose their coats, but since the question asks for exactly one of them to end up with their coat, we need to consider the 3 cases where exactly one of them chooses their coat.

In the case where Red chooses their own coat, there are 2! = 2 ways for Green and Blue to choose their coats. In the case where Green chooses their own coat, there are 2! = 2 ways for Red and Blue to choose their coats. In the case where Blue chooses their own coat, there are 2! = 2 ways for Red and Green to choose their coats.

So in total, there are 2 + 2 + 2 = 6 ways for exactly one of the toddler triplets to end up with their coat.

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Answer:

exponential growth

Step-by-step explanation:

The constant of proportionality will be $0.79

It is defined as the rate or the ratio of two proportional values which are known to be at the same value.

The two variable values are said to have a proportional association if or when either of their ratio or their product are known to bring about a constant.

Hence, the proportionality constant's value is known by the proportion between the two said quantities.

Jason bought 4 pounds of bananas for $3.16.

k = $3.16/4

k = $0.79

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The statement that is true is D. There is approximately 11.36 kilograms of dog food in the bag, because 1/2.2 = 11.36/25

To convert between pounds and kilograms, we use the conversion factor of 1 pound = 2.2 kilograms. This means that 1 pound is equal to 2.2 kilograms, and 2 pounds is equal to 4.4 kilograms, and so on.

In this case, we are given that there is 25 pounds of dog food in a bag, and we want to convert this to kilograms. To do this, we can multiply 25 pounds by the conversion factor of 1 pound = 2.2 kilograms.

25 pounds * (1 kilogram / 2.2 pounds) = 25/2.2 = 11.3636363636 kg.

So, there is approximately 11.36 kilograms of dog food in the bag.

The other options are incorrect. In option A, 1/2.2= 55/22 which is not equal to 25 pounds and the same case in option C. In option B the calculation is not correct as well because 1/2.2 = 25/11.36 doesn't make sense.

Therefore, the only true statement is D. There is approximately 11.36 kilograms of dog food in the bag, because 1/2.2 = 11.36/25

Answer: x is 17

Step-by-step explanation:

Distribute the -5: -5x + 50 = -35

Subtract 50 from both sides: -5x = -85

Divide both sides by -5: x = 17

Answer: x is representing here.

Step-by-step explanation: as the equation is -5(x-10) = -35

(-) sign in both sides will cancel out each other so the equation will become 5(x-10)= 35

now we will solve the equation

5x-50 = 35

5x = 35+50

5x = 85

x=85/5 = x =

Answer:

$5.91

Step-by-step explanation:

The amount of simple interest gained from a sum of money can be represented as:

[tex]\textrm{Interest} = P\cdot r\cdot t[/tex]

where [tex]P[/tex] is the principal amount (original sum of money), [tex]r[/tex] is the rate of simple interest per time period, and [tex]t[/tex] is the period of time in relation to a year.

To solve this problem, we simply have to plug the given values into the above formula and round the result to the hundredths place (cents).

[tex]P = \$525[/tex],  [tex]r = \dfrac{4.5\%}{\textrm{month}}[/tex],  [tex]t = 3 \textrm{ months} = \dfrac{1}{4} \text{ year}[/tex]

[tex]\textrm{Interest} = \$525 \cdot 4.5\% \cdot \dfrac{1}{4}[/tex]

[tex]\boxed{\textrm{Interest} \approx \$5.91}[/tex]

Answer:

$5.91 (nearest cent)

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I=Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Given values:

As the value of t has been given in months, we need to convert it to years before inputting it into the formula.

[tex]\sf \implies 3\; months=\dfrac{3}{12}\;year=\dfrac{1}{4}\; year[/tex]

Therefore, the values to input into the formula are:

Substitute the values into the formula and solve for I:

[tex]\implies I=525 \cdot 0.045 \cdot \dfrac{1}{4}[/tex]

[tex]\implies I=23.625 \cdot \dfrac{1}{4}[/tex]

[tex]\implies I=5.90625[/tex]

Therefore, the amount of interest you would receive on a deposit of $525 for three months at a rate of 4.5% is $5.91 (nearest cent).

the solution of number line is all the options are correct.

A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). These numbers to the left of zero are all negative while the numbers just on right of zero are all positive. As a result, we can argue that on a number line, the value of numbers grows as we approach the right. The numbers on the right are therefore larger than the ones on the left, according to this statement.

Here,

Kendra and Jamal are standing in line. The number line shows their positions in meters with positive numbers representing positions to the right.

The position of Kendra is -6 and Jamal is 0.

Kendra is 6 meters left of Jamal.

Kendra and Jamal are 1-6 meters apart.

Jamal is 6 meters right of Kendra.

Hence, all the options are correct.

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The solution to the given complex number expression is; 0 + [1/(-2√6))]i

We are given the expression as;

(√-4)/[(√-8)√-12)]

Now, when it comes to complex numbers, we know that the square root of a negative number for example √-25 would result in 5i.

Similarly, i² = -1

Thus, our expression is now;

2i/(2i√2 * 2i√3)

= 2i/(-4√6)

= i/(-2√6))

= 0 + [1/(-2√6))]i

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The correction of the three capitalization that where wrongly written in the given statement are

The capitalization of a word is defined as the use of capital letters for the first word of a sentence and for all proper nouns.

The sentence, ' Darnell is Writing an Article about an early Period of art history' contains proper nouns such as art and history which should be in capital letters.

The word 'written' should be in a small letter because it didn't start the sentence.

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Answer:

(9b-4c)(9b+4c)

Step-by-step explanation:

81b^2-16c^2

Using the the difference of square formula: a^2-b^2=(a-b)(a+b)

(9b-4c)(9b+4c)

Answer:

41, 49

Step-by-step explanation

It goes up in 8 if you work out 25-17 or 33-25.

33+8=41, 41+8=49

Answer:

1,000 was the interest charge which leaves you with 24000 as the regular vaule

Step-by-step explanation:

The area of the triangle KLM is found using Heron's formula as:

A = 60 in².

     S = (a+b+c)/2

     where a, b, and c are the triangle's three sides.

The sides of the triangle KLM are:

Then,

Semi perimeter s = a + b + c / 2

s = (13 + 13 + 10)/ 2

s = 18 in

Thus,

s - a : 18 - 13 = 5

s -b : 18 - 13 = 5

s - c : 18 - 10 = 8

By Heron's formula;

area of triangle KLM = √(s - a)(s -b)(s - c)

A = √18*5*5*8

A = 60

Thus, the area of triangle KLM is found using Heron's formula as:

A = 60 in².

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Answer:

y=1/6x+2 is the slope formula.

The equation of a line passing through the point (0,2) and having slope 1/6 is: x-6y+12=0

Step-by-step explanation:

Equation of a line passing through a point (x1,y1) and having slope m is: [tex]y-y_{1} =m(x-x_{1} )[/tex]

where m= slope of the line

Given point (x1 , y1)= (0 , 2)

So, the Equation of a line: [tex]=y-y_{1} =m(x-x_{1} )[/tex]

[tex]y-2 =(\frac{1}{6} )(x-0 )[/tex]

[tex]y-2 =(\frac{1}{6} )(x)[/tex]

[tex]6*(y-2) =(x)[/tex]

[tex]6y-12=x[/tex]

[tex]6y-12-x=0[/tex]

[tex]-x+6y-12=0[/tex]  OR [tex]x-6y+12=0[/tex]

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The given geometry of the figure does not show any of the options, so option D is correct.

A polygon with three vertices and three sides is called a triangle. The triangle's angles are created by joining its three sides end to end at a single point. The sum of the three angles of the triangle is 180 degrees.

Given a ΔSTU

a line from point  T intersects at SU at point V and divides SU, given SV is 60 units and UV is 42 units.

The line TV is not a median, because a median divides the side into two equal halves, and the figure does not have  SV equal to UV.

The line TV is not an attitude because the figure has not specified the angle of V in line SU, if given that the ∠TVU = ∠TVS = 90° then TV will be called altitude.

The line is not a perpendicular bisector because The line segment drawn from a vertex to the opposite side of a triangle, bisecting that side at a right angle, is known as the perpendicular bisector of the triangle.

Hence option D is correct.

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Answer: To determine this percentage, we would need to know the current market share for Category A and the desired market share goal of 50%. With this information, we could calculate the difference between the current market share and the desired market share and express that difference as a percentage of the current market share. Without this information, I am unable to provide an exact percentage.

Step-by-step explanation:

well, more often than not we arrange a polynomial in a descending order per degree of term, now, depends on the operation needed for it, we do or we don't, but more often we do.

the assumption in the material is that there are some missing terms in the desscending order.  Check the picture below.

Answer:

x = 4  or  x = 3

Step-by-step explanation:

x² - 7x = -12

x² - 7x + 12 = 0

(x - 4)(x - 3) = 0

x - 4 = 0  or  x - 3 = 0

x = 4  or  x = 3

Answer: The answer would be x=4 and x=3.

Step-by-step explanation:

The correct option regarding the quotient of the two fractions is given as follows:

B. [tex]\frac{(4x^2 + 6)(x + 2)}{10x^2 + 15}[/tex], no values must be excluded.

The division of two fractions is given by the multiplication of the first fraction by the inverse of the second fraction.

The first fraction for this problem is given as follows:

(4x² + 6)/(x - 2).

The second fraction for this problem is given as follows:

(10x² + 15)/(x² - 4).

Applying the subtraction of perfect squares, we have that:

x² - 4 = (x + 2)(x - 2).

Then the division of the two fractions is given as follows:

(4x² + 6)/(x - 2) x [(x + 2)(x - 2)/(10x² + 15)]

Simplifying the x - 2 terms, we have that:

[tex]\frac{(4x^2 + 6)(x + 2)}{10x^2 + 15}[/tex]

No values must be excluded, as the denominator would be never zero, as:

10x² + 15 = 0

10x² = -15.

x² is always positive, hence 10x² will never be equals to -15.

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Answer:

1/3

Step-by-step explanation:

Everytime x increases by 3 units, y increases by 1 unit.

Hence, when Δx=3, Δy=1  (Δx = change in x)

m=Δx/Δy

m=1/3

Using the above equation 1/i is equal to 2/(9-5j^2+3k)

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given; 2i+5j^2-3k=9

2i+5j^2-3k=9

2i=9-5j^2+3k

i=(9-5j^2+3k)/2

1/i=2/(9-5j^2+3k)

Therefore, the value of 1/i according to the given equation will be

2/(9-5j^2+3k)

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Answer:

Step-by-step explanation:

Let's start by labeling the sides of the triangle ABC:

A = 12

B = x

C = 10

Using the Law of Cosines, we can write the following equation:

C² = A² + B² - 2ABcos(C)

Substituting the values we have, we get:

10² = 12² + x² - 2(12)(x)cos(10)

Simplifying, we get:

100 = 144 + x² - 24xcos(10)

Rearranging, we get:

x² - 24xcos(10) + 44 = 0

Solving for x, we get:

x = [24cos(10) ± √(576cos²(10) - 176)]/2

Calculating the values, we get:

x = [24cos(10) + √(5232)]/2 ≈ 18.3

x = [24cos(10) - √(5232)]/2 ≈ 7.7

Therefore, BC = 18.3 or BC = 7.7

Answer:

1.  Hypothesis: "All 120° angles"

    Conclusion: "are obtuse angles"

    If-then statement: If an angle measures 120°, then it is an obtuse angle.

2.  It is not raining.

Step-by-step explanation:

Conditional statement

"If this happens, then that will happen."

For the statement "All 120° angles are obtuse angles":

Therefore, the statement written in the if-then form is:

Given statement:

The definition of a negation of a statement is the opposite of the given statement.  For example, the negation of statement "p" is "not p."

Therefore, the negation of the given statement is: