3 1/4 -1/2

I’m having trouble

Answer:

b c & e

Step-by-step explanation:

trust me

Answer:

5/6

Step-by-step explanation:

2/3 ÷ 4/5​

2/3 × 5/4

10/12

5/6

Answer:

B or the third option you put.

Step-by-step explanation:

Answer:

10000sksiiwiwisisis

Answer:

there are 10 integral values of k for which x^2 + kx + 24 is factorable.

Step-by-step explanation:

A quadratic expression of the form x^2 + kx + 24 can be factored if and only if its discriminant (b^2 - 4ac) is a perfect square, where a=1, b=k and c=24 are the coefficients of the quadratic.

The discriminant of the quadratic is k^2 - 96. To be a perfect square, k^2 - 96 must be equal to the square of some integer, say m^2. Then we have:

k^2 - 96 = m^2

k^2 - m^2 = 96

(k + m)(k - m) = 96

The factors on the left-hand side of this equation must be pairs of integers whose product is 96. We can list the pairs of factors of 96:

(1, 96), (2, 48), (3, 32), (4, 24), (6, 16), (8, 12)

For each pair of factors, we can solve the system of equations:

k + m = factor

k - m = factor

The solution to this system is k = (factor + factor)/2 = factor, which gives us the possible values of k that make x^2 + kx + 24 factorable.

Using this method, we find that there are 10 integral values of k that make x^2 + kx + 24 factorable:

k = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Therefore, there are 10 integral values of k for which x^2 + kx + 24 is factorable.

Answer:

Ann traveled 165 miles on 5 gallons of gas

Step-by-step explanation:

First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.

Answer:

\(x <-1 \cup x>1\)

Step-by-step explanation:

It can be solved analytically or graphically. Graphically is the fastest way if you know how to handle the two lines. Let's rearrange terms in either case:

\(x-2>-|2x-1| \rightarrow |2x-1| >2-x\)

Graphic: Red line is \(y=2-x\), solid blue line is \(y=|2x-1|\), the thin extension is the parent line without the absolute value.

Solving the equation is equivalent to answer "when is the blue line higher than the red one?" Which obviously happens outside the two intercept points. Let's find the first coordinate of both - we don't really care what's the y coordinate of either point.

For the left point, the x coordinate is given by \(1-2x = 2-x \rightarrow 2x-1=x-2 \rightarrow x=-1\)

For the right point, we have

\(2x-1=2-x \rightarrow 3x=3 \rightarrow x=1\)

Analytical:

We split the problem in two parts: while the content absolute value is non negative, we have

\(2x-1 \geq 0\\2x-1 >2-x\\\\x\geq \frac12\\3x > 3 \rightarrow x>1\)

Which admits as solutions all valeus of x greater than 1 (since both have to be satisfied at once, and values between 1/2 and 1 will not work for the second.

OR, with a negative quantity inside the absolute value, we get

\(2x-1 <0\\1-2x > 2-x\\\\x<\frac12\\x<-1\)

which again is satisfied by all values of x less than -1.

Thus the solution is given by \(x <-1 \cup x>1\)

Answer:

Step-by-step ex-plane

The zeros of a polynomial function can be used to determine how the graph behaves at those points. The multiplicity of a zero also plays an important role in shaping the graph of a polynomial function.

The graph of the seventh degree polynomial function with zeros 1, 2 (multiplicity of 3), 4, and 6 (multiplicity of 2) will cross the x-axis at 1 only. This is because the zero at 1 has a multiplicity of 1.

The graph will only touch (be tangent to) the x-axis at 2. This is because the zero at 2 has a multiplicity of 3.

At the zero of 2, the graph of the function will flatten out against the x-axis.

Therefore, the correct answers are:

- The graph of the function will cross through the x-axis at 1 only.

- The graph will only touch (be tangent to) the x-axis at 2.

- At the zero of 2, the graph of the function will flatten out against the x-axis.

Answer:

Explanation:

given:

∠T=90° , ∠R=39° and TR = 55 ft

ST = 55×tan(39)

ST = 55×0.80..

ST = 44.54 ft

Polynomials are algebraic expressions made up of variables and coefficients, and they may contain addition, subtraction, and multiplication operations. The degree and number of terms in a polynomial are two important properties that help in their classification. The degree of a polynomial refers to the highest power of the variable in the polynomial, while the number of terms refers to the number of individual expressions in the polynomial. Here are the classifications of the given polynomials:

1. Quartic Monomial
A monomial is a polynomial with only one term. Therefore, a quartic monomial is a polynomial with one term whose highest power is 4. The degree of the quartic monomial is 4, and it contains only one term.
Example: x^4
2. Quadratic Trinomial
A trinomial is a polynomial with three terms. A quadratic polynomial has a degree of 2 since its highest power is 2. Therefore, a quadratic trinomial is a polynomial with three terms whose highest power is 2. The degree of the quadratic trinomial is 2, and it contains three terms.
Example: 2x^2 + 3x - 5
3. Quintic Quadrinomial
A quadrinomial is a polynomial with four terms. A quintic polynomial has a degree of 5 since its highest power is 5. Therefore, a quintic quadrinomial is a polynomial with four terms whose highest power is 5. The degree of the quintic quadrinomial is 5, and it contains four terms.
Example: 4x^5 - 3x^3 + 2x^2 + 7x
In summary, the quartic monomial has a degree of 4 and only one term, the quadratic trinomial has a degree of 2 and three terms, and the quintic quadrinomial has a degree of 5 and four terms.

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Answer:

16 deliveries

Step-by-step explanation:

238 ≤ 10d + 78

160 ≤ 10d

16 ≤ d

Thus, he needs to make at least 16 deliveries to make at least $238 in one day.  Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.

Answer:

D all of the above is the answer

Answer:

D) All of the above

Runoff can end up in ponds, streams, and rivers.

Step-by-step explanation:

Hope it helps! =D

Skipper's finance charge at the end of the billing period is given as follows:

$14.77.

The finance charge is obtained using simple interest, as there is a simple compounding per year for the debt, and the charge is the amount of interest accrued during the period of one month.

The amount of interest accrued after t years, using simple interest, is given as follows:

I(t) = Prt.

The parameters for the equation are given as follows:

Considering a period of one month = 1/12 of an year, the values of these parameters for this problem are given as follows:

P = 933, r = 0.19, t = 1/12.

Hence the finance charge for Skipper's purchase is calculated as follows:

I = 933 x 0.19 x 1/12 = $14.77.

(rounding to the nearest penny = nearest cent).

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Answer:

Step-by-step explanation:

3x + 2 + 58 = 90

3x + 60 = 90

3x = 30

x = 10

it's adjacent

The parts of the graph when labelled are :

There is the origin which is where the line starts from. The x-axis represents the independent variable, which is the variable that is being manipulated or changed in the experiment.

The y-axis represents the dependent variable, which is the variable that is being measured or observed. A trend line is a line drawn on the graph that shows the overall pattern or trend of the data. The x and y - intercepts are the points where the trend line crosses the x and y - axis.

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The total surface area of the pyramid from the net is 286 square cm

To calculate the total surface area of a pyramid from its net, you need to add up the areas of all its faces.

The net of a pyramid is a two-dimensional representation of the pyramid, where the edges of the net represent the edges of the pyramid.

In this case, the nets are

Using the above as a guide, we have the following:

Area = 10 * 7 + 2 * (1/2 * 10 * 12.5 + 1/2 * 7 * 13)

Evaluate

Area = 286

Hence, the surface area is 286 square cm

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Answer:

16

Step-by-step explanation:

Step 1: Write down the function \(f(x)=7x^2+2x+3.\)

Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)

Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)

Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)

Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)

Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)

Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)

Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)

Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)

The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)

The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

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Answer:

Step-by-step explanation:

This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

Step-by-step explanation:

use Pythagoras theorem,

\( {a}^{2} + {b}^{2} = {c}^{2} \)

\({6}^{2} + {8}^{2} = {c}^{2} \\ 36 + 64 = {c}^{2} \\ c = \sqrt{100 } \\ c = 10\)

Answer:

The length of missing side of triangle is 10 m.

Step-by-step explanation:

Here, we have given that the two sides of triangle are 6 m and 8 m.

Finding the third side of triangle by pythagorean theorem formula :

\({\longrightarrow{\pmb{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}}\)

Substituting all the given values in the formula to find the third side of triangle :

\(\begin{gathered} \qquad{\longrightarrow{\sf{{(c)}^{2} = {(a)}^{2} + {(b)}^{2}}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = {(6)}^{2} + {(8)}^{2}}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = (6 \times 6)+ (8 \times 8)}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = (36)+ (64)}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} = 36 + 64}}}\\\\\qquad{\longrightarrow{\sf{{(c)}^{2} =100}}}\\\\\qquad{\longrightarrow{\sf{c = \sqrt{100}}}}\\\\\qquad{\longrightarrow{\sf{c = 10 \: m}}}\\\\\qquad\star{\underline{\boxed{\sf{\red{c = 10 \: m}}}}}\end{gathered}\)

Hence, the length of missing side of triangle is 10 m.

\(\rule{300}{2.5}\)

There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

a) There is a 59.87% probability that none of the LED light bulbs are defective.

b) There is a 31.51% probability that exactly one of the light bulbs is defective.

c) There is a 98.84% probability that two or fewer of the LED light bulbs are defective.

d) There is a 100% probability that three or more of the LED light bulbs are not defective.Step-by-step

explanation:

For each light bulb, there are only two possible outcomes. Either it fails, or it does not. This means that we use the binomial probability distribution to solve this problem.

The worst case complexity for the algorithm is O(n²)

In the worst case, every time we call the function findmin(list)

where list of length n, it will take  O(n)  operations.

For simplicity we can assume it will take n operations.

Since in each call , list decreases in one element  until it is finally empty.

the number of operations in the while loop is:

n(n-1)+(n-2)+....2+1 = n(n+1)/2= (n²+n)/2

Therefore the worst case complexity for the algorithm is O(n²).

Thus, time complexity is the number of activities a calculation performs to get done with its responsibility (taking into account that every activity requires some investment). The calculation that plays out the undertaking in the most modest number of activities is viewed as the most effective one regarding the time complexity.

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Answer:

S=1500+120N

Step-by-step explanation:

Option (B) is correct. Thus, percentage of students with scores between 70 and 130 is 95% .

The term "standard deviation" refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. The average degree of variability in your data set is represented by the standard deviation.

It reveals the average deviation of each score from the mean. Think about the following data: 2, 1, 3, 2, 4. The average and the total square of the observations' departures from the mean will be 2.4 and 5.2, respectively. This means that √(5.2/5) = 1.01 will be the standard deviation.

Here:

μ = 100, σ = 15

Thus we have

30 μ - kσ = 70

= 100 – k(15) = 70

= k= 30/15 = 2

Also we have, μ + Ασ: = 130

100+ k(15) = 130

k = 30/15 = 2

Now, the percentage of students with scores between 70 and 130 is same as the percentage of students between μ - 2σ, μ+ 2σ  and by empirical rule the area between μ (+-) 2σ  is 95%. Thus, percentage of students with scores between 70 and 130 is 95%

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Answer:

2

Step-by-step explanation:

since you have 84/42, and you are supposed to convert the improper fraction to a mixed number, the easiest place to start is to divide the two numbers and find the remainder. In this case, however, there is no remainder, as 84 divided by 42 is exactly 2. Therefore, the most simplified fraction would be 2 (although it does not look like a fraction the most simplified form of the fraction is 2/1 --> which is just 2). Hope this helps!

Answer:

Angle ACB = 44°

There are two ways to solve it. Both are right

Solution number 1

From triangle ABC

angle BAC = 180°-(102° +44°) = 36°

Because BG is parallel with AC

Another solution

The sum of angles in the shape AGBC = 360°

Since Amy is determining the difference between the number of butterflies she saw in the past 4 months (figure A) and this month (figure B), her next step is to subtract figure A from figure B.

The difference between the two figures or numbers is the result of a subtraction operation.

A subtraction operation, which is one of the four basic mathematical operations, involves the minuend, subtrahend, and difference, using the minus sign (-) and the equal symbol (=).

Thus, Amy's next step is a subtraction operation to find the difference.

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Answer:

P = 36 yd

A = 60 yd²

Step-by-step explanation:

P = side + side + side

Pythagorean triple = 5, 12, 13

P = 10 + 13 + 13

P = 36

A = 1/2(b)(h)

A = 1/2(10)(12)

A = 1/2(120)

A = 60