The number of protozoa makes a series where every next term is double its previous term so on the slide now the number of protozoa is 16.
What is a series?A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.
Number of protozoa 5 days ago = 1
Since protozoa double every 1.25 days.
Number of times protozoa doubles in 5 days ⇒
5 / 1.25 = 4 times.
So,
1 →2 → 4 → 8 → 16
Hence "The number of protozoa on the slide now is 16".
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Barbara bought a piece of rope that was 6 3/4 meters long. She cut the rope into 6 equal pieces. How long is each piece of rope?
Answer:
1 1/8
Step-by-step explanation:
Make this an improper fraction for simplicity: 27/4
now divide into six portions: (27/4)/6 = (27/6)/4 = 27/24 = 1 3/24 = 1 1/8
If you take a number multiply by 7 then takeaway 1,You get the same as if you took the number multiply by 5 then takeaway 8. What is the number?
Answer:
x = -3.5
Step-by-step explanation:
First we create the equation.
Let x = the unknown number
7x-1 = 5x - 8
Add 8 to both sides
7x + 7 = 5x
Subtract 7x
7 = -2x
Divide by 2
-7/2 = x
-3.5 = x
I need help please!!!
Answer:(y=2x+2
Step-by-step explanation:
HELP this is important!
Answer:
1. 11,17,23,29
2.t=19
3. +6
4. 4
5.57
Solve the following absolute value equation'
2|x+3|-2=0
A(-2,-4)
B(4,2)
C(-3)
D(1,-7)
Answer: A(-2,-4)
Explanation:
2|x+3|-2 = 0
2|(-2)+3|-2 = 0
2|(-4)+3|-2 = 0
The sum of the first five terms of an arithmetic sequence is 35. The sum of the next five terms is 85. Determine the first term and the common difference of the sequence.
Answer:
The first term is 3 and the common difference is 2
Step-by-step explanation:
The formula of the sum of the nth term of the arithmetic sequence is
[tex]S_{n}=\frac{n}{2}[2a+(n-1)d][/tex], where
a is the first termd is the common differencen is the position of the term∵ The sum of the first five terms of an arithmetic sequence is 35
∴ [tex]S_{5}[/tex] = 35
→ Substitute The values of n and S in the rule above
∵ 35 = [tex]\frac{5}{2}[2a+(5-1)d][/tex]
∴ 35 = [tex]\frac{5}{2}[2a+4d][/tex]
→ Simplify the right side
∴ 35 = 5a + 10d
→ Switch the two sides
∴ 5a + 10d = 35 ⇒ (1)
∵ The sum of the next five terms is 85
→ To find the sum of the first 10 terms add 85 to [tex]S_{5}[/tex]
∴ [tex]S_{10}[/tex] = 35 + 85 = 120
→ Substitute The values of n and S in the rule above
∵ 120 = [tex]\frac{10}{2}[2a+(10-1)d][/tex]
∴ 120 = 5[2a + 9d]
→ Simplify the right side
∴ 120 = 10a + 45d
→ Switch the two sides
∴ 10a + 45d = 120 ⇒ (2)
Now we have a system of equations to solve it and find a and d
→ Multiply equation (1) by -2
∵ -2(5a) + -2(10d) = -2(35)
∴ -10a + -20d = -70 ⇒ (3)
→ Add equations (2) and (3)
∵ (10a + -10a) + (45d + -20d) = (120 + -70)
∴ 25d = 50
→ Divide both sides by 25 to find d
∴ d = 2
→ To find a substitute d in equation (1) by 2
∵ 5a + 10(2) = 35
∴ 5a + 20 = 35
→ Subtract 20 from both sides
∵ 5a + 20 - 20 = 35 - 20
∴ 5a = 15
→ Divide both sides by 5
∴ a = 3
∴ The first term is 3 and the common difference is 2
Please help! I’ll mark brainlist and 5 stars!
(You have to see which one is right for the sentence provided, and which ones are false out of A-D)
A. The equation of the line is y = 1/2x
B. Sasha can make 60 gift bags in 2 hours.
C. The constant of proportionality is l = 1/2
D. Sasha can make 2 bags per minute.
Answer:
D
Step-by-step explanation:
The reason D is false is because it states that Sasha can make 2 bags per minute while she cant make 2 bags per minute. She can make half a bag per minute. D is wrong 100%
Answer:
Step-by-step explanation:
Distance covered = speed × time.
Sasha runs at a constant speed of 3.8 meters per second for 1/2 hour.
This means distance covered while running would be
3.8 × 1/2 = 1.9 meters
Then she walks at a constant rate of 1.5 meters per second for 1/2 hour. This means distance covered while walking would be
1.5 × 1/2 = 0.75 meters
Total distance that Sasha covered while running and walking in 60 minutes would be
1.9 + 0.75 = 2.65 meters
Step-by-step explanation:
You decide to put a new stone siding on the rectangular side of your
house, which measures 8 by 15 feet. If stone costs $3 per square foot,
what is the total cost of stone?
You take a taxi to your sisters home. The driver charges you $8 for 3 kilometers and $2 for each additional kilometer. If you paid a total of $14 how long did you travel
What is the area of a circle with a 17cm diameter?
What is the slope of the line that passes through points (6, − 2) and (21, 3) ?
Answer: __________
Answer:
[tex]m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (6, -2)
Point (21, 3)
Step 2: Find slope m
Substitute: [tex]m=\frac{3+2}{21-6}[/tex]Add/Subtract: [tex]m=\frac{5}{15}[/tex]Simplify: [tex]m=\frac{1}{3}[/tex]Which best describes the effect on the x-intercept of the graph of y=34x−3 if the slope is changed to −34
The x-intercept remains the same and the new line is translated upwards
The x-intercept becomes negative and the new line is parallel to the original line
The x-intercept remains the same and the new line is translated downward
The x-intercept becomes negative and the new line intersects the original line
Answer:
The last option: The x-intercept becomes negative and the new line intersects the original line.
Step-by-step explanation:
Remember that when finding the x-intercept you set y to 0.
Let's compare the two equations when we solve for x:
0=34x-3 0=-34x-3
1. Add 3 to both sides of the equations
3=34x 3=-34x
2. Divide the coefficients
[tex]\frac{3}{34}[/tex]=x [tex]\frac{3}{-34}[/tex]=x
We know that the new slope does not remain the same as stated in the first and third options. In order for two lines to be parallel, the slopes must be exactly the same, so the second option is incorrect. Therefore, the last option is correct.
Answer:
Step-by-step explanation:
⊕ The x-intercept becomes negative and the new line intersects the original line { at (0, - 3) }
Which graphs display a directly proportional relationship? Check all that apply. 2
Answer:The first picture, second picture,fourth picture represents proportional relationship.
Further explanation:
Explanation:
The points in the first picture are and
The slopes between the points can be obtained as follows,
The slopes between the points are equal. Therefore, in the first picture x and y are in a proportional relationship.
The points in the second picture are and
The slopes between the points can be obtained as follows,
The slopes between the points are equal. Therefore, in the second picture x and y are in a proportional relationship.
The points in the third picture are and
The slopes between the points can be obtained as follows,
The slope is negative. Therefore, in the third picture x and y are not in a proportional relationship.
The points in the fourth picture are and
The slopes between the points can be obtained as follows,
The slopes between the points are equal. Therefore, in the fourth picture x and y are in a proportional relationship.
The first picture, second picture,fourth picture represents proportional relationship.
Learn more:
Learn more about inverse of the function brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Ratio and proportion
Keywords: function, First picture, second picture, proportional relationship, ratio, slope, set, set of values, set of numbers, coordinates, x-coordinate, y-coordinate.
Step-by-step explanation:
how much more time in hours did Allen spend Listening to music than playing tenis
f.2.88 hours
g.0.48 hours
h.2.40 hours
j.0.12 hours
Answer:
She spent 48 more min listening to music
Your answer is g 0.48 hours
Step-by-step explanation:
I hope this helps
Which situation is best represented by the following equation?
45w+123.95=753.95
A.Erica paid $753.95 for dance classes. She paid $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w,the number of weeks Erica was enrolled in dance classes?
B.Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?
C.Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?
D.Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes?
Answer:
The correct answers is B.
Step-by-step explanation:
the principal of a high school wants to gather opinions from the parents of students at his school. he starts with the 2nd name in the parents teacher association (pta) phone handbook and then selects every 5th name in the directory. the 2nd, 7th, 12th, … names in the directory are chosen for his sample. this is an example of a/an sample.
This example is an part of systematic sampling.
What are the advantages and disadvantages of systematic sampling ?Simple to Use and Understand.A sense of process and control.Clustered Selection is no longer used.Low risk componentassumes it is possible to estimate the population size.Natural Degree of Randomness is required.Data Manipulation Risk is Greater.
Disadvantage
A population must be closely approximated for this procedure to work.Some populations are able to recognize the sample pattern.A little likelihood of selection is produced.There is a significant risk of data manipulation.In comparison to random sample, systematic sampling is less random.To learn more about systematic sampling, visit
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Need help :((
plss help i took a screenshot so you can see
Answer: 5:4
Step-by-step explanation: you divide them i believe :)
Answer:
5:9
Step-by-step explanation:
Well it says the ratio to the blueberry muffins to all muffins so add together 12+15 which is 27 then compare the ratios in simplest form so 15:27 in simplified form is 5:9
area of a rectangle whose length is 4x-6 and width is x+1
Answer: The area is 4x^2-2x-6
Step-by-step explanation: The area of a rectangle is length*width. So multiply both these terms. Remember the method foil, that would apply here. (4x-6)(x+1), you end up with 4x^2+4x-6x-6. Then combine like terms, to get 4x^2-2x-6.
Whats The Answer Marking Brainliest, Please explain your answer:D..............................Please HELP!!!
The graph of y = f(x) is the solid black graph below. Which function represents the dotted graph?
Answer:
y = -f(x - 5)
Step-by-step explanation:
the function of the dotted graph is f(x) shifted (or translated) 5 units to the right and then reflected across the x-axis.
shifting it to the right is happening by reducing every x value by 5 (so that we get for x the functional value of x-5).
and reflecting it across the x-axis simply means to flip the sign. everything that was originally above the x-axis is now with the same distance below the x-axis (and vice versa).
therefore, the new
y = -f(x - 5)
Kate and Nora each have a sum of money. The ratio of the amount of money Kate has to that of Nora is 3 : 5. After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9. Find the sum of money Kate had initially.
Given:
The ratio of the amount of money Kate has to that of Nora is 3 : 5.
After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9.
To find:
The sum of money Kate had initially.
Solution:
Let the initial amount of money Kate and Nora have are 3x and 5x respectively.
After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9.
The amount of Kate = 3x+150
The amount of Nora = 5x-150
Now,
[tex]\dfrac{3x+150}{5x-150}=\dfrac{7}{9}[/tex]
[tex]9(3x+150)=7(5x-150)[/tex]
[tex]27x+1350=35x-1050[/tex]
[tex]1350+1050=35x-27x[/tex]
[tex]2400=8x[/tex]
Divide both sides by 8.
[tex]300=x[/tex]
Putting x=300 in 3x, to get the amount of money Kate has initially.
[tex]3(300)=900[/tex]
Therefore, the Kate initially had $900.
The slide at a playground
has a height of 22 feet. The
distance between the foot
of the ladder and the end of
the slide is 10 feet. What is
the length of the slide?
Round to the nearest tenth.
Answer:
c = 24.17 feet
Step-by-step explanation:
Right Triangles
A right triangle is a special triangle that has an interior angle of 90°.
In right triangles, Pythagora's Theorem is satisfied:
[tex]c^2=a^2+b^2[/tex]
Where c is the hypotenuse (longest side) of the triangle, and a and b are the legs or the smaller sides.
The slide can be thought of as a right triangle whose hypotenuse is the slide itself and the legs are the height of the ladder and distance between the foot of the ladder and the end of the slide.
So we have:
[tex]c^2=22^2+10^2[/tex]
[tex]c^2=484+100=584[/tex]
[tex]c=\sqrt{584}[/tex]
c = 24.17 feet
find the slope and y-intercept of the graph of the linear equation
y=-5x+2
Answer:
the y-intercept is 2/5 and the slope is -5
Step-by-step explanation:
Lauren saved $25 a month for 2 years. She spent 75% of her savings on a TV. How much money does Lauren have left?
Answer
$150
Step-by-step explanation:
Since there are 12 months in year, you multiply 25 times 24 to get 600. 75% of 600 is 450, so then you do 600-450. The answer to that is 150.
Hope this helped!
What is the equation of this line in slope intercept forn?
3z +y=2
A. y=-3+2
B. y=3z +2
C. y=-3z 2
D. y=3r-2
Answer:
We conclude that the equation of this line in the slope-intercept form will be:
[tex]y = -3z+2[/tex]Step-by-step explanation:
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Given the equation
[tex]3z +y=2[/tex]
Writing the equation in the slope-intercept form of the line equation by simplifying it
subtracting 3z from both sides
[tex]3z+y-3z = -3z+2[/tex]
[tex]y = -3z+2[/tex]
Therefore, we conclude that the equation of this line in the slope-intercept form will be:
[tex]y = -3z+2[/tex]A loaf of bread costs $4.00 today. The same size loaf cost 20 cents in 1955. What percentage of today's price did someone pay for bread. Explain your thinking.
Answer:
$0.8, or 80 cents
Answer:
Your answer is 0.05 or5%
Step-by-step explanation:
what you do is 20÷400=0.05=5%
What is f(0) if f(t) = t^2 – 2t – 2?
Answer:
-2
Step-by-step explanation:
f(t) = t^2 – 2t – 2
To find f(0), replace t with 0 in the expression and evaluate the expression.
f(0) = 0^2 – 2(0) – 2
f(0) = -2
0 = t
We know this because 0 replaced t in the parenthesis next to F !
The question is just asking you to plug in 0 where ever t is!
Let's do it
[tex]f(0) = 0^{2} - 2(0) - 2[/tex]
solve
[tex]0^{2} = 0 \\2 ( 0 ) = 0[/tex]
so, this is what we have left!
[tex]f(0) = 0 - 0 - 2[/tex]
We have our answer!
[tex]f (0) = -2[/tex]
Select the correct answer.
Mrs. Jameson's math test scores are represented by the following data.
Which of the following lists the lower quartile, median, and upper quartile (in that order)?
O 55,78,100
O 67,78,92
O 92,78,67
O 67,78,100
Answer:
i'm pretty sure it's 67,78,92
Step-by-step explanation:
Hope this helps!
The correct answer is option B which is the lower quartile, median, and upper quartile are 67,78,92 respectively.
What is a box plot?A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.
As we can see in the given image the lower vertical line is lying at the point of 67 the middle line is lying at 78 and the higher vertical line is lying at 92.
Therefore the correct answer is option B which is the lower quartile, median, and upper quartile are 67,78,92 respectively.
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It’s not an question per say, I wanted to see if my answer was right
Answer:
Yes it’s correct I did this for a test like last week lol
Step-by-step explanation:
Answer:
YEs
Step-by-step explanation:
a+650=<800
a=>150
yes it is correct
Hope this helps plz hit the crown ;D
In the equation 5 + 3x - 7 = 10, what are the like terms?
Answer:
5 , -7 , 10
Step-by-step explanation: