writing equations in slope-intercept form common core algebra 1question 1

0.75

I don't know how to explain but that's 5% of 15 (sorry if this doesn't help D:)

The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.

To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.

Initial number of ponds: 19

Final number of ponds: 10

To calculate the percent decrease, we can use the following formula:

Percent Decrease = (Difference / Initial Value) * 100

Let's apply this formula to the given data:

Difference = Initial number of ponds - Final number of ponds

Difference = 19 - 10

Difference = 9

Percent Decrease = (9 / 19) * 100

Now, let's calculate the percent decrease:

Percent Decrease = (9 / 19) * 100

Percent Decrease ≈ 47.37%

For such more question on number:

https://brainly.com/question/30752681

#SPJ8

Answer:

2 seconds

Step-by-step explanation:

Given the equation:

\(f(x) = -x^2 + x + 2\)

Where f(x) represents the height of each ball thrown by machine.

and x represents the time in seconds.

To find:

The number of seconds after which the machine throws the balls hits the ground = ?

Solution:

In other words, we have to find the value of \(x\) after which the \(f(x) = 0\)

(Because when the ball hits the ground, the height becomes 0).

Let us put \(f(x) = 0\) and solve for \(x\)

\(f(x) = -x^2 + x + 2 =0\\\Rightarrow -x^2 + x + 2 =0\\\Rightarrow x^2 - x - 2 =0\\\Rightarrow x^2 - 2x+x - 2 =0\\\Rightarrow x(x - 2)+1(x - 2) =0\\\Rightarrow (x+1)(x - 2) =0\\\Rightarrow x =-1, 2\)

\(x=-1\) sec is not a valid answer because time can not be negative.

So, the answer is after 2 seconds, the ball hits the ground.

By the Pythagorean theorem,

\(\sin^2 t +\cos^2 t = 1 \\ \\ \sin^2 t +(-3/4)^2 = 1 \\ \\ \sin^2 t =7/16 \\ \\ \sin t=-\frac{\sqrt{7}}{4}\)

(I took the negative case because of the range of values of t)

Using the cosine double angle formula,

\(\cos 2t=2\cos^2 t -1 =2(-3/4)^2 - 1 =1/8\)

Using the sine double angle formula,

\(\sin 2t=2\left(-\frac{3}{4} \right)\left(-\frac{\sqrt{7}}{4} \right)=\frac{3\sqrt{7}}{8}\)

Using the cosine half-angle formula,

\(\cos \frac{t}{2}= -\frac{\sqrt{1+\cos A}}{2}=-\frac{\sqrt{1+\frac{3\sqrt{7}}{8}}}{2}\)

(I took the negative case because of the range of values of t)

Using the sine half-angle formula,

\(\sin \frac{t}{2}=\frac{\sqrt{1-\cos A}}{2}=\frac{\sqrt{1-\frac{3\sqrt{7}}{8}}}{2}\)

(I took the positive case because of the range of values of t)

Answer:

The equation that can be used to find the year Oklahoma became a state is 1912 = x + 5

Oklahoma became a state in 1907

Step-by-step explanation:

Oklahoma became a state in year x.

Arizona became a state in 1912. This was 5 years after Oklahoma became a state.

This means that:

1912 = x + 5

The equation that can be used to find the year Oklahoma became a state is 1912 = x + 5

Solving the equation for x:

x = 1912 - 5 = 1907

So, Oklahoma became a state in 1907

Answer:

yes because the hours to distance is moving at a constant rate and if you were to graph it, it would also go through the origin

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

This table is not proportional because the outputs do not get their answer using the same equation. The first to inputs and outputs (\(\frac{1}{2}\) and \(\frac{1}{4}\); 1 and \(\frac{1}{2}\)) are proportional. You multiply the input (distance) by \(\frac{1}{2}\) to get the output (hours). The final option of input and output (\(2\frac{1}{2}\) and \(1\frac{1}{4}\)) is not proportional.

Hope it helps!

Answer:

y-(-8)=4(x-2)

Step-by-step explanation:

This is point-slope form. Point-slope form is y-y₁=m(x-x₁), this is y minus the change in y equals slope (slope is m) times x minus the change in x. An ordered pair is (x, y). You just plug in the missing values. This will get you y-(-8)=4(x-2). I hope this helps! Also, make sure not to put the parenthesis around -8 in the actual box! They are just there to make for less confusion.

a) \($\sum\limits_{n=1}^{\infty} 5\left(\frac{3}{4}\right)^{n-1}$\) series has sum of 20.

What is sum?

In mathematics, the sum of a series is the result obtained by adding together all the terms in a sequence of numbers.

The series that has a sum of 20 is \($\sum\limits_{n=1}^{\infty} 5\left(\frac{3}{4}\right)^{n-1}$\).

To see why, we can use the formula for the sum of an infinite geometric series:

\(S = \frac{a}{(1-r)}\)

where S is the sum of the series, a is the first term, and r is the common ratio.

In this case, the first term is:

\(a = 5(\frac{3}{4} )^0 = 5\)

And the common ratio is:

\(r = \frac{3}{4}\)

So, the formula becomes:

\(S = \frac{5}{(1-\frac{3}{4} )}\)

Simplifying the denominator, we get:

\(S = \frac{5}{\frac{1}{4}}\)

Multiplying by the reciprocal, we get:

S = 20

Therefore, the sum of the series is 20, which means that the series \($\sum\limits_{n=1}^{\infty} 5\left(\frac{3}{4}\right)^{n-1}$\)

To know more about sum visit:

https://brainly.com/question/24205483

#SPJ1

Answer: 11/15

Step-by-step explanation:

The strength and direction of the correlation between the two variables are weak and negative, hence, option (3) is correct.

A statistic called correlation gauges how much two variables change in connection to one another. Correlation quantifies correlation but cannot determine whether x causes y or vice versa, or whether a third component is responsible for the association.

Given that, the correlation between the two variables is r = -0.23.

Since the correlation between the variables is weak and negative.

Therefore, the strength and direction of the correlation between the two variables are weak and negative, hence, option (3) is correct.

Learn more about the correlation:

https://brainly.com/question/28898177

#SPJ1

The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

To learn more about logarithmic function visit:

brainly.com/question/1616298

#SPJ1

Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

Answer:

7.61577310586

Step-by-step explanation:

Pythagoras Theorem 7 squared + 3 squared= 49+9=58

\(\sqrt{58}\)

Answer:

acute angle

Step-by-step explanation:

Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

i need brainliest for level up please

Answer:

acute angle.

explanation:

We can see here that the triangle has less than 90° angle so its a acute angle triangle.

Answer:

B

Step-by-step explanation:

Standard deviation is the average distance away from the mean, thus B is correct

Answer:

1). y= -4+ 4x

2). y= 3+ x/2

Step-by-step explanation:

hope this helps !

Theres always 180 degrees in a flat line angle thingy you need answers fast so im not looking up what its called but 180-125=55 and then you 55-1=54 then 54/3=18!!!!!

By answering the presented question, we may conclude that As a result, for -2=x=3, the greatest vertical distance between the line function y=x+6 and the parabola y=x2 is 35/4.

In mathematics, a function seems to be a link between two sets of numbers in which each member of the first set (known as the domain) corresponds to a specific member of the second set (called the range). In other words, a function takes input from one collection and creates output from another. The variable x has frequently been used to represent inputs, whereas the variable y has been used to represent outputs. A formula or a graph can be used to represent a function. For example, the formula y = 2x + 1 depicts a functional form in which each value of x generates a unique value of y.

To identify the highest point where the distance between the two curves is greatest, we must first find the maximum vertical distance between the line and the parabola.

\(| (x+6) - x^2 |\\d/dx | (x+6) - x^2 | = 0\\d/dx (x+6 - x^2) = -2x + 1\\-2x + 1 = 0\sx = 1/2\\2x - 1 = d/dx (x2 - x - 6)\\2x - 1 = 0\sx = 1/2\\\)

Because this x number is inside the allowed range, we must evaluate the formula for the vertical distance at x=1/2:

\(| (1/2 + 6) - (1/2)^2 | = 35/4\)

As a result, for -2=x=3, the greatest vertical distance between the line y=x+6 and the parabola y=x2 is 35/4.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Answer:

Area of a rectangle= lenght× width

Dimensions of 1st rectangle: L,W

Dimensions of 2nd rectangle: L+10; W+4

Hence,

LW = 480__________(1)

(L-10)(W+4) = 480_______(2)

LW = LW+4L - 10W - 40

4L = 10W +40

2L = 5W + 20

L = (5/2)W + 10_________(3)

But LW = 480 (from equation one)

So, W = 480/L

substitute as= 480/L into equation (3)

L = (5/2)(480/L)+10

L = 1200/L + 10

L^2 - 10L - 1200 = 0

factorising.

we're have,

(L-40)(L+30) = 0

therefore, since L can't be negative , L = 40

L = 40 cm (length)

Then 480/L = W = 120 cm (width)

Answer:

Step-by-step explanation:

For the first bag:

Price of the bag = $12

Number of balls in the bag = 15

Price per ball = Price of the bag / Number of balls

Price per ball for the first bag = $12 / 15 = $0.8

For the second bag:

Price of the bag = $15

Number of balls in the bag = 20

Price per ball = Price of the bag / Number of balls

Price per ball for the second bag = $15 / 20 = $0.75

Comparing the prices per ball, we find that the second bag has a lower price per baseball. Therefore, the second bag offers a better price for individual baseballs compared to the first bag.

Answer:

Step-by-step explanation:

To find out which bag prices individual baseballs lower, we can divide the total cost of each bag by the number of balls in the bag. This will give us the price per ball for each bag.

For the first bag, the price per ball is $12 / 15 = $0.80.

For the second bag, the price per ball is $15 / 20 = $0.75.

Therefore, the second bag prices individual baseballs lower.

Answer:

\(115 \dfrac{1}{2}\:cm^3\)

Step-by-step explanation:

The volume of a rectangular prism is the product of each of the sides of the prism

Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)

the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)

To perform this multiplication, convert mixed fractions to improper fractions first

Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)

\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)

\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)

Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)

\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)

Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)

Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder

\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)

\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)

$7.14 I hope this helps.

Answer:

She spends $7.14

Step-by-step explanation:

You would multiply in this question and you would multiply $1.19*6 and that will give you your product of $7.14.

A graph that represents the solution set of the compound inequality is: graph D.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would solve the given compound inequality by making x the subject of formula as follows;

x + 3 < 1/2(4x - 12) < 20

Multiplying all through by 2, we have the following:

2x + 6 < 4x - 12 < 40

Next, we would solve the compound inequality in parts:

2x + 6 < 4x - 12

4x - 2x < 12 + 6

2x < 18

x < 18/2

x < 9.

4x - 12 < 40

4x < 40 + 12

4x < 52

x < 52/4

x < 13.

In conclusion, the line on a number line (graph) should be open when the inequality symbol is greater than (>) or less than (<).

Read more on inequality here: brainly.com/question/27976143

#SPJ1

Answer:

One pound is approximately equal to 0.45359237 kilograms (kg).

The approximate weight of the Bernie is 79.83kg

pound, unit of avoirdupois weight,  which is = 0.45359237 kg.

Given the weight of Bernie is 176pounds.

multiplying it by  0.45359237 we get 79.83kg

Therefore, One pound is approximately equal to 0.45359237 kilograms (kg).

The approximate weight of the Bernie is 79.83kg

To know more about question related to pounds click on the link below:

https://brainly.in/question/8550259

#SPJ2

The statement is It is more likely to select a candidate with a Master’s Degree than a Bachelor’s Degree, the correct option is C.

We are given that;

The table and 3 statements

Now,

To find the probability of selecting a candidate with a certain level of education, we can divide the number of candidates with that level by the total number of candidates. The total number of candidates is 6 + 7 + 4 = 17. The probability of selecting a candidate with a Bachelor’s Degree is 6 / 17, and the probability of selecting a candidate with a Master’s Degree is 7 / 17. These probabilities are not equal, so statement #3 is false.

Therefore, by probability method answer will be It is more likely to select a candidate with a Master’s Degree than a Bachelor’s Degree.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ1

Answer:

c i had this q before and got it right

Answer:

The ring in 2020 costs around $3,931.2.

Step-by-step explanation:

We know how much the ring cost in 2018 and we know the percentages of the value as years go by.  

To solve this, we will need to put the percentages into decimals, and since we are adding value, add an additional 1 [whole] in both decimals.

Should look like this:

2019: 1.04

2020: 1.08

Multiply the cost with the first year:

3500 x 1.04 = 3640

The ring costs $3,640 in 2019.

Then it says the ring went up by %8 percent in 2020.

Multiply the cost from last year with the current year:

3500 x 1.08 = 3931.2

The ring costs $3,931.2 in 2020.

I hope this helps!