Answer:
f = -2/5a +1412.4 ≈ 12 fish for 4 algae bloomsStep-by-step explanation:
The 2-point form of the equation for a line is useful when you are given two points to work with:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
The independent variable (x) is apparently "algae blooms" and is to be represented by "a". The dependent variable (y) is "number of fish" and is to be represented by "f". So, we have ...
f = (4 -10)/(25 -10)(a -10) +10
f = -6/15(a -10) +10
f = -2/5a +14 . . . an equation for the scenario
Four a=4, the fish population is predicted to be ...
f = -2/5(4) +14 = 12.4
There will be about 12 fish when there are 4 algae blooms.
Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 km3, start fraction, 1, divided by, 6, end fraction, start text, space, k, m, end text in \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction hour. Harvey runs at a constant rate.
Answer:
[tex]2\frac{8}{15}[/tex]
Step-by-step explanation:
The calculation of average speed in kilometres per hour is shown below:-
As we know that
[tex]Speed = \frac{Distance}{Time}[/tex]
So, the average speed is
[tex]= 3\frac{1}{6} \div 1\frac{1}{4}[/tex]
Now we will convert into a mixed number i.e
[tex]3\frac{1}{6} = \frac{19}{6} \\\\ 1\frac{1}{4} = \frac{5}{4}\\\\ = \frac{19}{6} \div\frac{5}{4}\\\\ = \frac{19}{6} \times \frac{4}{5}[/tex]
Now the cross cancel common factor is 2
So,
[tex]= \frac{19}{2}\times \frac{2}{5} \\\\ = \frac{38}{15} \\\\ = 2\frac{8}{15}[/tex]
hence, the average speed is [tex]2\frac{8}{15}[/tex] in kilometers per hour
Therefore we simply applied the above formulas to determine the average speed that comes in kilometers per hour
if the sides of a square measure 10 square root 6 units then find the length of the diagonal
Answer:
20[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The diagonal splits the square into 2 right triangles
Using Pythagoras' identity on one of the right triangles
With legs 10[tex]\sqrt{6}[/tex] and hypotenuse the diagonal d, then
d² = (10[tex]\sqrt{6}[/tex] )² + (10[tex]\sqrt{6}[/tex] )² = 600 + 600 = 1200 ( take square root of both sides )
d = [tex]\sqrt{1200}[/tex] = [tex]\sqrt{400(3)}[/tex] = [tex]\sqrt{400}[/tex] × [tex]\sqrt{3}[/tex] = 20[tex]\sqrt{3}[/tex]
which is the graph of y =-x +2
Answer:
A
Step-by-step explanation:
The - in front of -x tells us that the line has to go down (slope -1), and the +2 tells us it will pass through (0,2).
Then you can see that only graph A fits that description.
Hello!
Answer:
A
Step-by-step explanation:
if x=0 => y=2
if x=1 => y=1
This is A graph!
Given the points (–3,k)(–3,k) and (2,0)(2,0), for which values of k would the distance between the points be 34−−√34 ?
Answer:
The possible values of k are 3 and -3
Step-by-step explanation:
Given
Points: (-3,k) and (2,0)
Distance between them = √34
Required
Determine the value of k
The distance between two points is calculated as thus;
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Let
[tex](x_1,y_1) = (-3,k)[/tex]
[tex](x_2,y_2) = (2,0)[/tex]
Substitute these values in the given formula
[tex]Distance = \sqrt{(-3 - 2)^2 + (k - 0)^2}[/tex]
Evaluate the brackets
[tex]Distance = \sqrt{-5^2 + k^2}[/tex]
[tex]Distance = \sqrt{25 + k^2}[/tex]
Recall that Distance = √34
So; we have
[tex]\sqrt{34} = \sqrt{25 + k^2}[/tex]
Take square of both sides
[tex]34 = 25 + k^2[/tex]
Collect Like Terms
[tex]k^2 = 34 - 25[/tex]
[tex]k^2 = 9[/tex]
Take square root of both sides
[tex]k = \±3[/tex]
Hence, the possible values of k are 3 and -3
A large negative number is added to a small positive number. Which of the following statements is correct about the sum?
Answer:
its negative :)
Step-by-step explanation:
..........
Answer:
The sum will be negative
Step-by-step explanation: Negative+Negative=Positive//Positive+Positive=Positive//Positive+Negative=Negative//Negative+Positive=Negative
Which of the following quadratics is a Perfect Square Trinomial?
Answer:
[tex] 16x^2 + 8x +1[/tex]
Step-by-step explanation:
[tex] 16x^2 + 8x +1 = (4x+1)^2 [/tex]
Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form
Answer:
y-3= 2(x-1)
Step-by-step explanation:
1. The equation of a line in point slope form is y-y1= m(x-x1)
2. m=slope and (x1,y1) is the point the line passes through
3. The point the line passes through is (1,3)
4, The slope is 2
5. Therefore the answer is y-3=2(x-1)
Answer:
y-3=2(x-1)
Step-by-step explanation:
Point slope form is y-y1=m(x-x1)
Now we just need to plug in what you have into this equation.
y-3=2(x-1) and this is the point slope form for this line.
George had $6,000 in a savings account earning simple interest at a rate of 5% per year. At the end of the year, George paid 25% in taxes on his interest. How much money did George earn in interest that year after paying taxes?
Answer:
$225
Step-by-step explanation:
Given that:
Principal = $6,000
Interest rate = 5%
Time = 1 year
Taxes paid = 25% on the interest earned
To find:
Money earned after paying taxes ?
Solution:
First of all, let us calculate the total interest earned:
Formula for Simple Interest is given as:
[tex]SI =\dfrac{PRT}{100}[/tex]
Where P is the principal
R is the rate of interest
T is the time taken
Putting the given values:
[tex]SI =\dfrac{6000 \times 5\times 1}{100} =\$300[/tex]
Now, it is given that 25% of the interest earned is given as taxes.
Taxes paid = 25% of $300
[tex]\Rightarrow \dfrac{25}{100} \times 300 =\$75[/tex]
Therefore, the money earned = Interest earned - Taxes paid
The money earned = $300 - $75 = $225
How many different two digit numbers can be formed from the digits, 7,8, and 9 if the numbers must be even and no digit can be repeated?
Answer:
2
Step-by-step explanation:
If the number must be even, the units digit must be 8. That leaves 2 choices for the tens digit. The possible numbers are ...
78
98
There are 2 of them.
Answer: Only two: 78 and 98
Step-by-step explanation: 8 is the only even number available to put in the units place where even or odd is determined. With no repetition allowed, the only possibilities left are to switch positions of the 7 and 9 in the tens place.
write 0.18 repeating as a fraction in simplest form.
Answer:
180/1000 or 18/100 0.18
Step-by-step explanation:
The repeating decimal 0.18 to a fraction is 2/11
Converting the repeating decimal to a fraction.From the question, we have the following parameters that can be used in our computation:
Number = 0.18
Express as fraction
So, we have
Number = 18/100
Subtract 1 from the denominator
Number = 18/99
Simplify
Number = 2/11
Hence, the fraction is 2/11
Read more about fraction at
brainly.com/question/31896427
#SPJ6
Find the area of triangle ABC. A. 14.45 units² B. 18.51 units² C. 13.76 units² D. 14.39 units²
Answer:
C. [tex] 13.76 units^2 [/tex]
Step-by-step explanation:
Given:
∆ABC,
m<A = 66.28°
m<B = 31.09°
AB = 7.6
BC = 7.01
Required:
Area of ∆ABC
SOLUTION:
Area = ½*AB*BC*sin(B)
[tex] Area = \frac{1}{2}*7.6*7.01*sin(31.09) [/tex]
[tex] Area = \frac{1}{2}*7.6*7.01*sin(31.09) [/tex]
[tex] Area = 13.76 units^2 [/tex]
Express the final equation in standard form. Contains the point (-8, 5) and is parallel to the line x − 3y = 6
Answer:
x = 3y + 87
Step-by-step explanation: Hi! Ok, firstly, you know the slope, which is:
3y = x - 6
y = 1/3x - 2
Your slope is 1/3.
And you have the point (8,5). If you were to graph this, your y-intercept will be (0,29), because for every one you add to the y value, you add three to x. So, you have to add 8 to y, so 24 to x. 24 + 5 = 29.
Thus, y-intercept form is y = 1/3x + 29
Standard form will be: x = 3y + 87
Please solve Question 11 correctly..
Answer:
i) width = 3.75
length = 4.5
ii) 6.75m^2
iii) 78.75m^2
Step-by-step explanation:
11)
i) Bedroom 1
actual width = 2.5 × 1.5
= 3.75 m
actual length = 3 × 1.5
= 4.5m
ii) Kitchen
actual width = 1.5 × 1.5
= 2.25 m
actual length = 2 × 1.5
= 3 m
actual area = 2.25× 3
= 6 .75 m^2
iii) Apartment
actual width = 5 × 1.5
= 7.5 m
actual length = 7 × 1.5
= 10. 5 m
actual area = 7.5 * 10.5
= 78.75 m ^2
What is the range of the graph? A) (3, 5) B) [3, 5] C) (2, 5) D) [2, 5]
Answer:
B. [3, 5]
Step-by-step explanation:
The range of a graph are the y-values that are plotted on the vertical axis (y-axis). In order words, the range values, are the possible set of output values of that are plotted on the vertical axis on the graph.
"[ ]" is usually used to denote the possible set of values.
Therefore, the range of the given graph, as we can see from the y-axis, include values from 3 to 5. Therefore, the range of the graph is [3, 5].
Factoring for GCF. Help please and thanks!
Answer:
Since there are no common factors, the only common factor is 1
(●'◡'●)
Repeating decimal is ALWAYS an irrational number.
True
False
Barun said says, "The number sqrt49 is an irrational number." Do you agree or disagree? Explain using the definition of rational and irrational numbers.
Here's why:
sqrt(49) = sqrt(7^2) = 7
We can write 7 as a ratio or fraction of two integers 7 = 7/1
This shows that 7 is rational, so that makes sqrt(49) rational as well.
An irrational number is one where we cannot write it as a fraction of two integers. An example of an irrational number would be pi. Another irrational number is sqrt(2).
Note: the denominator can never be zero.
Write a word phrase that describes the algebraic expression 12m + 3.4 = 9
Answer:
Lola has 12 times m total cakes. Adrian has 3 and a quarter left of cake. If they add theirs together they get 9. What is the value of m?
Step-by-step explanation:
Lola has 12 times m total cakes. Adrian has 3 and a quarter left of cake. If they add theirs together they get 9. What is the value of m?
Answer: The sum of twelve times a number m and 3.4 is equal to 9.
Step-by-step explanation:
The givens are an algebraic expression 12m + 3.4 = 9. We need to put this in words.
So here is how we do it:
The sum of twelve times a number m and 3.4 is equal to 9.
OR you can say:
9 is equal to the sum of a number m twelve times and 3.4.
Answer it answer it answer it
Answer:
B, C and D are not the correct way of finding the area of the square.
Step-by-step explanation:
A is the correct way of finding the area of the square because:
Area of the whole square - area of the unshaded square = the answer.
Answer:
add the
Step-by-step explanation:
when 2 polinomials of same deegree has to be divided then what should be considered to fix the divident and diviser
Answer:
In order to find the remainder two polynomials of same degree are divided.
Step-by-step explanation:
Hope this will help you :)
A large ice chest holds 62 liters of water. A smaller chest holds 4/5 as much water. How many liters of water does the smaller chest hold?
Answer:
49.6 liters
Step-by-step explanation:
Let the number of water that the smaller chest be x liters. If the smaller chest can hold 4/5 of the water that the large chest can hold, then:
The amount of water held by small chest (x) = 4/5 × amount of water that can be held by large chest
x = 4/5 × 62 liters = 49.6 liters
This means that the small chest can hold up to 49.6 liters of water
Smaller chest can hold 49.6 liters.
The smaller chest holds 4/5 the amount of water that the larger chest can hold which is 62 liters.
The amount the smaller chest can hold is therefore:
= Amount of water large chest can hold x proportion of large chest that small chest can hold
= 62 x 4/5
= 248/5
= 49.6 liters
The smaller chest can therefore hold 49.6 liters.
Find out more at https://brainly.com/question/17474612.
Solve for . Simplify your answer as much as possible. please help
Answer:
[tex]x=-6[/tex]
Step-by-step explanation:
So we have the equation:
[tex]-34=7(x+8)+8x[/tex]
First, distribute the 7 into the (x+8) and simplify:
[tex]-34=7(x)+7(8)+8x\\-34=7x+56+8x[/tex]
Combine the like terms 7x and 8x by adding them together:
[tex]-34=56+15x[/tex]
Subtract 56 from both sides to isolate the x:
[tex]-34-56=15x+56-56\\15x=-90[/tex]
Divide both sides by 15 to get x:
[tex]x=-90/15=-6[/tex]
NEED MATH HELP NOW. I WILL BRAINLIEST
Answer:
see below (I hope this helps!)
Step-by-step explanation:
To find the distance between two points, we can use the formula d = √(x₂ - x₁)² + (y₂ - y₁)² where d = distance and (x₁, y₁), (x₂, y₂) are the points. Therefore:
d = √(-6 - 2)² + (2 - (-6))²
= √(-4)² + (8)²
= √16 + 64
= √80 ≈ 8.944272
8-2b = -2 find the solution to the equation
Answer: 5
Step-by-step explanation:
8-2b=-2
8-2b-8=-2-8
-2b=-10
-2b/-2=-10/-2
b=5
Jack brought 4 bagel for 3:00. How many bagel can he buy for 4:50. It is use ratio and rate
Answer:
6
Step-by-step explanation:
3/4 each
9/2 ÷ 3/4 = 6
OR
4 * 3/2 = 6
:D
Answer:
6 bagelsStep-by-step explanation:
[tex]4 \:bagels = 3.00\\x \:bagels = 4.50\\\\Cross\:Multiply\\\\3x = 4\times4.50\\\\3x = 18\\\\Divide\:both\:sides\:of\:the\:equation\:by\:3\\\frac{3x}{3} = \frac{18}{3} \\x = 6\\\\Answer = 6 \:bagels[/tex]
The sum of the angle measures of any triangle is 180 degrees. Angle 2 is twice the measure of angle 1. Angle 3 is 15 degrees less than the measure of angle 2. What is the measure of each angle?
Answer:
Angle 1 = 39, Angle 2 = 78 , Angle 3 = 63
Step-by-step explanation:
78/2 = 39
(Angle 2/2 = Angle 1)
78 - 15 = 63
(Angle 2 - 15 = Angle 3)
39 + 78 + 63 = 180
(Angle 1 + Angle 2 + Angle 3 = 180)
Answer:
39°, 78°, 63°
Step-by-step explanation:
let ∠ 1 = x, then
∠ 2 = 2x ( twice the measure of ∠ 1 )
∠ 3 = 2x - 15 ( 15° less than ∠ 2 )
Sum the 3 angles and equate to 180
x + 2x + 2x - 15 = 180, that is
5x - 15 = 180 ( add 15 to both sides )
5x = 195 ( divide both sides by 5 )
x = 39
Thus
∠ 1 = 39°
∠ 2 = 2 × 39° = 78°
∠ 3 = 78° - 15 = 63°
Solve the equation
(If possible please show work)
Answer:
3 is right answer
Step-by-step explanation:
see in attached picture
hope it helped you:)
Jada wanted to construct a line perpendicular to line L through point C. The diagram shows her construction. What was her mistake?
Answer:
Perpendicular lines are 90 degrees on their central angle.
Step-by-step explanation:
1. Draw the line L with a meter-rule and a pencil.
2. extend the hand of the protractor beyond the radius of the line and bisect the line L, by placing the protractor pin on both ends of the line and marking up and down.
3. Join the points where the markings meet drawing a line through C which is the center of the line L.
If M is the midpoint of segment AB and AM=9x-5 and MB=15-x, what is the length of AB?
Answer:
AB = 8x+10Step-by-step explanation:
If M is the midpoint of the segment AB, then AM+MB = AB. Given the following parameters;
AM=9x-5 and MB=15-x
Required parameter
segemnt AB
Substituting the given parameters into the given formula to get AB we will have;
AB = AM+MB
AB = 9x-5+15-x
collect like terms
AB = 9x-x-5+15
AB = 8x+10
Hence the length of segment AB is 8x+10
how do you rewrite the formula to solve for r?
Answer:
The answer is C.
The steps are :
[tex] {T}^{2} = ( \frac{4 {\pi}^{2} }{GM} ) \times {r}^{3} [/tex]
[tex] {T}^{2} \div ( \frac{4 {\pi}^{2} }{GM}) = {r}^{3} [/tex]
[tex] {T}^{2} \times \frac{GM}{4 {\pi}^{2} } = {r}^{3} [/tex]
[tex] \frac{GM {T}^{2} }{4 {\pi}^{2} } = {r}^{3} [/tex]
[tex] \sqrt[3]{ \frac{GM {T}^{2} }{4 {\pi}^{2} } } = r[/tex]
[tex]r = \sqrt[3]{ \frac{GM {T}^{2} }{4 {\pi}^{2} } } [/tex]
Answer :
C
[tex]r = \sqrt[3]{ \frac{ {T}^{2}GM} {4 {\pi}^{2} } } [/tex]
Step-by-step-explanation :
[tex] {t}^{2} = ( \frac{4 {\pi}^{2} }{gm} ) {r}^{3} \\ {t}^{2} = \frac{4 {\pi}^{2} {r}^{3} }{gm} [/tex]
[tex] {t}^{2} gm = 4 {\pi}^{2} {r}^{3} \\ \frac{ {t}^{2} gm}{4 {\pi}^{2} } = \frac{4 {\pi}^{2} {r}^{3} }{4 {\pi}^{2} } [/tex]
[tex] {r}^{3} = \frac{ {t}^{2} gm}{4 {\pi}^{2} } [/tex]
[tex] \sqrt[3]{ \frac{ {t}^{2} gm}{4 {\pi}^{2} } } = \sqrt[3]{r} [/tex]
[tex]r = \sqrt[3]{ \frac{ {t}^{2} gm}{4 {\pi}^{2} } } [/tex]