Answer:
A
Step-by-step explanation:
y = 9,958(0.972)x
Function which best models the given data is -150x + 9219.
What is the solution of an equation?A solution is an assignment of values to the unknown variables that makes the equality in the equation true.
According to the given question
y represents the number of bees.
and, x represents the number of days.
Since, we have to find the function to represent the given data.
As, we know the given data are the solution of any function, so they must satisfy the function. For this we will take any value of x and y and check whether it satisfy the given function or not.
From the given data,
Let check for the point (0, 1000).
Substitute (0, 1000) in the given function one by one.
For, y = 9,958(0.972)x
At, x = 0
We get y = 0
⇒ ( 0, 1000) is not the solution of the function 9958(0.72)x
For, y = 0.972(9,958)x
At, x = 0
we get y = 0
⇒ (0, 1000) is not the solution for the function 0.972(9958)x
For, y = 9219x - 150
At x = 0
we get y = -150
⇒ (0, 10000) is not the solution of function, 9219x -150
For, y = -150x + 9219
At x = 0
y = 9219 which is nearly equals to 10000 because y is the estimated number of bees.
⇒ (0, 10000) is the solution of the given function y = -150x + 9219 .
Hence, the function which best models the given data is -150x + 9219.
Learn more about solution of the equation here:
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b) Sanjit reads 3 books in 1 week.
Express as a unit rate and explain
We can write this as:
3 books / 1 week
This tells us that Sanjit reads 3 books per week.
Let's say he read for 3 weeks, we would multiply to find the number of books he read.
3 * 3 = 9 books
So, Sanjit can read 3 books in 1 week.
Best of Luck!
Answer:
3 books/1 week
Step-by-step explanation:
3 books
------------
1 week
Can someone tell me the rate of change on this graph?? Please!
The local theater sold 260 tickets to their most recent performance. Admission was $9 for adults and $5 for children. If they made $2,140, how many adult tickets did they sell?
Answer:
210 adult tickets were sold
Step-by-step explanation:
let x be the number of adult tickets sold
let y be the number of children tickets sold
x+y=260 equation 1
9x+5y=2140 equation 2
multiply equation 1 by 5
multiply equation 2 by 1
5x+5y=1300
9x+5y=2140
subtract equation 1 from 2
4x=840
x=840/4 =210 tickets
substitute for x in equation 1
210+y=260
y=260-210=50
The coordinates of point A on a grid are (−4, 3). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are (___, 3).
Ana dives into a pool off of a springboard high dive. Her height (in meters above the water), xxx seconds after diving, is modeled by h(x)=-5(x+1)(x-3)h(x)=−5(x+1)(x−3), What is the height of Ana above the water at the time of diving?
Answer:
15m
Step-by-step explanation:
When Ana is diving the time=0 therefore just substitute x=0 into h(x) and it will give you 15m
Help pleaseeeeeee
find the code for section 8
need help now pleaseeeee
Answer:
21/25 = 84% 84% is the largest out of them all in a percentage number.
Hola ayudenme porfa se trata de progresiones aritmeticas 1Un niño compra figuras para su album; el primer dia 1 figura ; segundo dia,3 figuras;el tercer dia, 5 figuras y asi sucesivamente. Si en total compro 225 figuras ¿Cuantos dias compro figuras?
Answer: 16 days.
Step-by-step explanation:
I will answer this in English.
An aritmetic series works in the next way.
if the first therm is A.
Then the second therm is A + r
the third therm is A + r + r
and so on.
Where A is the initial value and r is a constant.
Here the first term is A = 1
The second term is 3, we can find the value of r as:
3 - 1 = r = 2
Then our series is:
Kₙ₊₁ = Kₙ + 2
where K₁ = 1
We know that in total he bought 225 figures, then we have the sumation:
∑Kₙ
and we want to find the value of n.
the sum of the first n terms is:
Sn = (n/2)*(K₁ + Kₙ)
where Kₙ = 1 + n*2 and K₁ = 1
so we must solve:
225 = (n/2)*(1 + 1 + n*2) = n + n^2
So we must solve the quadratic equation:
n^2 + n - 225 = 0
the solutions are:
[tex]n = \frac{-1 + -\sqrt{1^2 + 4*225} }{2} = \frac{-1 +-30}{2}[/tex]
So we have two solutions:
n = 29/3 = 14-.5
n = -31/2 = -15.5
We must select the positive solution, because n can be only positive, and we should round it to the next whole number, that is 16.
So he bought figures for 16 days.
The lines below are parallel. If the green line has a slope of -1, what is the slope of the red line? Enter your answer as an integer or a fraction in lowest terms
Answer:
The red line has a slope of -1
Step-by-step explanation:
This is because parallel lines have the same slope with a different y intercept.
If the green line's slope is -1 and it is parallel to the redline, they will have the same slope.
Find the perimeter and the area of the polygon with the given vertices.
S (3,0), T (3,9), U (8,9), V (8,0)
Answer: area =45 perimeter=28
Step-by-step explanation: height is 9, length is 5 5x9 =45
9+9+5+5= 28
5x/3y + x
X= 6 and Y= -4
Step-by-step explanation:
Putting values of x and y.
5(6) / 3(-4) + 6
30 / - 12 + 6
10 / - 4 + 6
5 / - 2 + 6
= 3.5
what is two-thirds of 3 and3/4
Answer:
2.5
Step-by-step explanation:
2/3 *(3+3/4)=2.5
Answer:
[tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2}[/tex] or 2.5
Step-by-step explanation:
[tex]\frac{2}{3}*3\frac{3}{4}[/tex]
Convert [tex]3\frac{3}{4}[/tex] to an improper fraction. You can do this by multiplying the whole number by the denominator and add the numerator; all of this over the same denominator.
[tex]3\frac{3}{4}=\frac{3*4+3}{4} =\frac{12+3}{4} =\frac{15}{4}[/tex]
Now work it out.
[tex]\frac{2}{3}*\frac{15}{4}=\frac{30}{12}=\frac{15}{6}=\frac{5}{2}[/tex]
In case you need a mixed number as the answer, we can convert from improper fraction to mixed number.
5/2=2
4
----
1
the 2 after the equal sign is the big number, the 1 is the numerator and the 2 before the equal sign in the denominator.
[tex]2\frac{1}{2}[/tex]
Which is the net for this rectangular prism? ASAP
Answer:
The last 4th one is correct
-16 = 5 + 3x what is the constant and coefficient
Answer: help me with my questions
Step-by-step explanation:
Click on my profile answer my question and get branliest
Answer:
The constant is 5 and the coefficient is 3.
Step-by-step explanation:
The constant is something that does not change, which would be 5 because it stays 5 no matter what.
The coefficient is the number before the variable, which would be 3 because it changes depending on the x value.
I hope this helps! :)
Isabella makes a list of numbers that are all even. Which list could be
Isabella's list?
2,3,4
23,4
3,5,9
3,5,9
2,6,8
2,6,8
3,5,6
3,5,6
Done →
What the answer
Answer:
the list 2,6,8 is the answer
Step-by-step explanation:
The function f(x)=(x-4)(x-2 is shown. What is the range lf the function
Answer:
The range is all values greater than or equal to -1
y : y≥-1
Step-by-step explanation:
f(x)=(x-4)(x-2)
This functions is an upwards facing parabola. This means it has a minimum
The minimum is 1/2 way between the zeros
0=(x-4)(x-2)
x-4 =0 x-2 =0
The zeros are at 4 and 2
(4+2)/2 = 6/2 =3
The minimum is at x=3
The minimum value is at
f(3) = (3-4) (3-2) = -1 (1) =-1
The range is all values greater than or equal to -1
y : y≥-1
Answer:
Range: y 》-1
Step-by-step explanation:
f(x) = (x - 2)(x - 4)
f(x) = x² - 2x - 4x + 8
f(x) = x² - 6x + 8
f(x) = x² - 2(x)(3) + 3² - 3² + 8
f(x) = (x - 3)² - 1
Vertex: (3,-1)
Minimum value: -1
Range: y 》-1
The expression (x2 - 5x - 2) - (-6x2 - 7x - 3) is
equivalent to
Answer:
7x² + 2x + 1
Step-by-step explanation:
(x² - 5x - 2) - (-6x² - 7x - 3)
Now, combine your like-terms together...
(x² - (-6x²)) + (- 5x - (-7x)) + (- 2 - (-3))
7x² + 2x + 1
Your friend buys a skateboard that is on sale for one third off the original price. Your friend spent $36 than the original price. What was the original price of the skateboard?
Answer:
original price of skateboard = $54
Step-by-step explanation:
Let the original price of the skateboard be x
selling price = one third off the original price = $36
x - (1/3x) = 36
[tex]\frac{x}{1} - \frac{x}{3} = \frac{3x-x}{3} = \frac{2x}{3}[/tex]
[tex]\frac{2x}{3} = 36\\2x = 108\\x = \frac{108}{2} = 54[/tex]
∴ x = 54
-4x-y=24
Whats the missing value in the solution to the equation.
(__,8)
Answer: -8
Step-by-step explanation: First, substitute 8 for y and then solve the remainder of the problem.
-4x - 8 = 24
-4x - 8 + 8 = 24 + 8
-4x = 32
-4x/-4 = 32/-4
x = -8
Please answer me<br />bis two fifths of c.<br />4a = 30<br />Work out the ratio a:b:c<br />Give your answer in its simplest form where a, b and c are integers.
b is two fifths of c, so we make this a ratio with c = 1.
The ratio of b:c is 2/5 : 1
We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,
so we get the ratio of a to c as 3/4 : 1
Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:
3 : 8/5 : 4
Now multiply the 3 numbers by 5 to remove the denominator of 5 in b:
15 : 8 : 20
Now we can check using the equations:
b is 2/5 of c: 20 x 2/5 = 40/5 = 8 This is true.
4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.
The ratios is 15 : 8: 20
Which system of linear inequalities is represented by the graph x+5y>5 y<2x+4
Answer:
The lines represent the inequalities .
Further explanation:
The linear equation with slope m and intercept c is given as follows.
The formula for slope of line with points and can be expressed as,
Given:
The inequalities are as follows.
a. x – 5y < –5 and y < –2x – 4
b. x + 5y > 5 and y < 2x + 4
c. x – 5y < –5 and y < –2x + 4
d. x + 5y > 5 and y < 2x – 4
Step-by-step explanation:
The blue line intersects y-axis at , therefore the y-intercept is 4.
The blue line intersect the points that are and .
The slope of the line can be obtained as follows.
The slope of the line is m = 2.
Now check whether the inequality included origin or not.
Substitute in equation y=x+1.
0 is not greater than 1 which means that the inequality doesn’t include origin.
Therefore, the blue line is y < 2x + 4.
The orange line intersects y-axis at , therefore the y-intercept is 1.
The orange line intersect the points that are and .
The slope of the line can be obtained as follows.
The slope of the line is m = .
Now check whether the inequality included origin or not.
Substitute in equation y > .
0 is not greater than 1 which means that the inequality doesn’t include origin.
Therefore, the orange line is y > .
Solve the equation y > .
The equation of orange line is 5y + x > 5.
Option (a) is not correct as it satisfy the inequalities of the graph.
Option (b) is correct as it satisfy the inequalities of the graph.
Option (c) is not correct as it satisfy the inequalities of the graph.
Option (d) is is not correct as it satisfy the inequalities of the graph.
Hence, is correct.
Answer:
b
Step-by-step explanation:
The volume of a cone is 50 pi cubic feet. Its height is 6 feet. In feet, what is the radius of the cone? Round the answer to the nearest tenth.
*The answer is 5*
Answer:
Radius= 5.0ft ( given)
Step-by-step explanation:
Given: Volume of cone= 50π ft^3
Height of cone= 6ft
Required: Radius
Volume of cone= 1/3 * π * r^2 *h
(or)
r^2= Volume *3/h π ( Just disintegrating the formula and taking radius^2 to the left hand side(L.H.S) )
= (50 π *3)/(6)π
= 50/2 (because, 3 π /6 π = 1/2)
r^2 = 25
now, r =√25= 5.0 ft
Therefore, the radius of the cone is 5.0 ft(to the nearest tenth) :)
Answer:
5
Step-by-step explanation:
100 points. Easy question.
Topic: Adding and Subtracting fractions.
ONLY DO QUESTION 8 NOT 9 AND 10
Answer:
17 1/8 km
Step-by-step explanation:
6 7/8 + 5 1/2 + 4 3/4
The common denominator is 8
6 7/8 already has a denominator of 8
5 1/2 = 5 1/2*4/4 = 5 4/8
4 3/4 *2/2 = 4 6/8
6 7/8 + 5 4/8 + 4 6/8
15 17/8
15 + 8/8+ 8/8+1/8
15 + 1 + 1 + 1/8
17 1/8
Answer:
[tex]\boxed{17\frac{1}{8} \ \sf{km}}[/tex]
Step-by-step explanation:
6 7/8 + 5 1/2 + 4 3/4
Turn to improper fractions.
55/8 + 11/2 + 19/4
Make denominator equal by LCM.
55/8 + 44/8 + 38/8
Add fractions because they have same denominators.
137/8
Turn to mixed fraction.
17 × 8 = 136 + 1
17 1/8
I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult packages. After two weeks I spent 108 to donate six children packages and 4 adult packages. What is the price of each type of package
Answer:
Step-by-step explanation:
Let the price for children and adults package be represented with x and y respectively.
For the first week the sum of the package will be as follows:
3x+8y = 126
For the two weeks after:
6x+4y= 108
So, we will be having two equations
3x+8y = 126..... (1)
6x+4y= 108.......(2)
These are simultaneous equations
From equation 1
3x+8y = 126
3x = 126-8y
X = 126-8y/3 ............. (3)
Put equation 3 into 2
6 ( 126-8y)/3 +4y = 108
756-48y/3 +4y = 108
756-48y+12y/3 = 108
Cross multiplying
756-48y+12y= 108×3
756-48y+ 12y = 324
Collecting like terms
756-324 = 48y-12y
432= 36y
Divide both sides by 36
432/36 = 36y/36
y= 12
Substituting y into equation 1
3x+8= 126
3x+96=126
3x= 126-96
3x= 30
Divide both sides by 3
3x/3 = 30/3
x = 10
Hence for each of the packages for children and adults. It will be 10 and 12 respectively.
jerry climbed 210 feet in elevation. He then went down 300 feet. What integer represents his total change in elevation
Answer:
210-300=-90
Step-by-step explanation:hope this helps plz mrk me brainliest
2. A box contains 6 red marbles, 9 blue marbles and 5 white marbles. The marbles are selected at random, one at a time,
and are not replaced. Find the compound probability
Answer:
?
Step-by-step explanation:
1.add all numbers up.
2. put each number onto a fraction.
3. then the rest you should know
PLEASE HELP ME FIND THE SURFACE AREA!!
Answer:
A) 348m^2
Step-by-step explanation:
you just find the area of each individual shape then and all the sides together
What is 1/2 multiplied -3/4
Answer:
the answer is -3/8hope this helps
How much would you save on a tv that costs $550 with the 30% discount
Answer:
He could save $ 165
Step-by-step explanation:
Discount = 30% of 550
[tex]=\frac{30}{100}*550\\\\=3*55[/tex]
= $ 165
Answer:
the TV after the discount will cost 385.00 dollars and you would have saved 165.00 dollars! hope this helped :D
Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy
Answer:
The answer is sandy
Step-by-step explanation:
18/3= 6 why? because each glass of lemonade he drink he puts 3 table spoons, and a table spoon is the big spoon
hope this helped <3
What is the following simplified product? Assume x greater-than-or-equal-to 0
2 StartRoot 8 x cubed EndRoot (3 StartRoot 10 x Superscript 4 Baseline EndRoot minus x StartRoot 5 x squared EndRoot)
Answer:
StartRoot 6 x squared EndRoot + 4 StartRoot 8 x cubed EndRoot) (StartRoot 9 x EndRoot minus x StartRoot 5 x Superscript 5 Baseline)
A. 3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared + 8 x Superscript 5 Baseline StartRoot 10 x EndRoot
B. 3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot + 8 x Superscript 5 Baseline StartRoot 10 EndRoot
C. 3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 EndRoot
D. 3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 x EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 x EndRoot
The simplified product of the expression as given is; Choice A: 24x³√5x - 4x²√10x
First, we must expand the parenthesis as follows;
[tex]2 \sqrt{8 {x}^{3} } (3 \sqrt{10 {x}^{4} } - x \sqrt{5 {x}^{2} } )[/tex]
In essence; we have;
6√80x⁷ - 2x√40x⁵6√80x⁷ - 2x√40x⁵= 24x³√5x - 4x²√10xRead more;
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