Answer:
Part A
Scale factor
= 1 : 175
Part B
52.5 mm
Part C
99.4%
Step-by-step explanation:
Justin is working with a microscope that magnifies objects to 175 times their actual size.
Part A
Enter a number in each box to determine the scale factor for the microscope.
= 1 : 175
Part B
The diameter of an amoeba cell is 0.30 millimeter. How big will the cell appear to Justin under the microscope?
Scale factor =
1 : 175
Diameter of the Amoeba cell = 0.3mm
1mm = 175 mm
0.3mm = x
Cross Multiply
x = 0.3 × 175
x = 52.5 mm
Part C
What is the percent increase of the area of the amoeba cell under the microscope?
Increase = 52.5 mm - 0.3mm
= 52.2 mm
Percent increase
= 52.2/52.5 × 100
= 99.4%
y = 2x – 11
-x + 3y = –13
Answer:
(x,y)=(37,-13)
Step-by-step explanation:
2x-11-x+3x(-13)=-13
x=37
Find the formula for the nth term of these sequences:
(a) 2, 5, 10, 17, 26, …….
(b) 4, 10, 20, 34, 52, ………
Part of a geometric sequence is given below:
,,,,, -1, ,,,, , ,,,,,, 64, ,,,,,
Where uₙ means the nth term, hence, u₂ = -1, and u₅ = 64.
Second term is -1, and the fifth term is 64. Calculate:
(a) The common ratio (r)
(b) The value of the first term (a) or u₁
(c) The value of the 10th term.
I need it by today!! and please for the people who type to get points please dont do it with me
A child makes a pitcher of fruit punch by completely dissolving fruit- flavoured powder in water. The child drinks a glass and decides the punch needs to be sweeter, so she stirs in more powder. This time the powder does not all dissolve, but settles on the bottom of the pitcher. A) Is the fruit-flavoured powder a pure substance or a mixture? * helpme anyone?
find the linear relationships
Answer:
There is no linear relationship in this problem.
Step-by-step explanation:
When plotting the coordinates on the graph, the line curves and slopes upwards. It is not a straight line.
Use the Law of Cosines to solve for the side BC. Round your answer to the point
nearest whole number. Write the value only *
Answer:
BC = 50
Step-by-step explanation:
Law of Cosines:
c^2 = a^2 + b^2 - 2ab*cosy (c is BC)
c^2 = 30^2 + 21^2 - 2(30)(21)cos123
c^2 = 900 + 441 - 1260*(-0.888)
c^2 = 1341 - (-1118.841)
c^2 = 2459.841
c = 49.597
c = 50
A bird was sitting 12 feet from the base of an oak tree and flew 20 feet to reach the top of the tree. How tall is the tree?
Answer:
It should be 12+20= 32 ft
Step-by-step explanation:
Pls help I’ll mark u brain.
Answer:
the value of B is 12 times more than a
b = a * 12
Answer: 1. 12 times the value of a
2. B=12a
Step-by-step explanation:
0 and 0 indicate that it cannot be more(there are other ways)
and the ratio 2:24 simplifies to 1(a):12(b)
Opens up or down, Vertex: (-10, -1), Passes through: (-8, -5)
Answer:
opens down
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) - (- 10, - 1 ) , then
y = a(x + 10)² - 1
To find a substitute (- 8, - 5) into the equation
- 5 = a(- 8 + 10)² - 1 ( add 1 to both sides )
- 4 = a(2)² = 4a ( divide both sides by 4 )
- 1 = a
y = - (x - 10)² - 1 ← equation in vertex form
To determine if it opens up/ down consider the value of a
• If a > 0 then curve opens up
• If a < 0 then curve opens down
Here a = - 1 < 0 then curve opens down
Simplify the following expression: 9x+ 8y + 3x + 2y the *
Answer: 12x + 10y
Step-by-step explanation:
y greater than or equal to 3х + 4
Answer:
no clue what your question is
Step-by-step explanation:
y ≥ 3x+4
y-4 ≥ 3x
[tex]\frac{1}{3} y- \frac{4}{3} \geq x[/tex]
i guess you could do that
PLEASE ANSWER ASAP !!!!!
Answer:
11
Step-by-step explanation:
well you have to multiply and divide
Answer:
-4
Step-by-step explanation:
The following week, clare earns $75 from delivering newspapers and deposits it in her account. What will her account balance be then
Answer: Whatever the original balance was + 75
Step-by-step explanation:
You never gave a concrete value of what the balance of her account was before the new deposit so it is impossible for me to tell you the exact answer, but just add $75 to whatever it was before and you will be correct! If you tell me the original value I would be more than happy to help you further :) Have a great rest of your day!
When rounded to the hundreds place, which of the numbers below round to 23,400? Select all that apply.
A) 23,445
B) 23,345
C) 23,395
D) 23,410
E) 23,451
The measure of angle STV is 60°
The measure of angle WTV is 25°
The measure of angle STW is x°
Answer:
STW = 95°
Step-by-step explanation:
Angle inside the triangle = 180°
; 180 = 60 + 25 + x
x = 95
Hope it helps you
Principal: $4,000
Rate: 7.25%
Time: 8 years
How much money will need to be paid back to the bank for this loan?
Answer:
the money required to pay back to the bank for the loan is $7,002
Step-by-step explanation:
The computation of the money required to pay back to the bank for the loan is given below:
= Principal × (1 + rate of interest)^number of years
= $4,000 × (1 + 0.0725)^8
= $4,000 × 1.0725^8
= $7,002
Hence, the money required to pay back to the bank for the loan is $7,002
The new club sticker is in the shape of a triangle. It has a height of 16 inches and a base of 14 inches. The area of the club sticker is ____ square inches.
Answer:
112 square inches
Step-by-step explanation:
Area of a triangle is B*h/2
14 x 16 = 224
224/2 = 112
Simon makes a model of a boat, using a scale of 1 : 30
If the model has a height of 40 cm, find the height of the real boat.
Give your answer in metres.
Answer: 12 metres
Step-by-step explanation:
The scale factor used for the model is 1 : 30.
This means that for any 1cm on the model, the real boat would be 30 cm.
If the height is 40 cm on the model, the real boat will be 30 times that:
= 40 * 30
= 1,200 cm
A metre is equivalent to 100cm.
1,200 cm would therefore be:
= 1,200/100
= 12 metres
What is the area of the border,or the shaded region,of this figure in square inches HELP ILL GIVE BRAINLIEST PLEASEEE
Answer:
60 i think
Step-by-step explanation:
Ken bought 3 3/4 pounds of apples at the farmers' market. Abby bought 2 1/8 pounds of apples. How many pounds of apples did Ken and Abby buy?
Basketball Arcade Game
You're buying the basketball arcade game for $4,500.00 with 5% tax. How much
will you pay all together? *
Answer:
$4,725
Step-by-step explanation:
multiply 4,500x0.07=225 add that to 4,500
Which fraction is equivilent to -2/3
Answer:
-4/6, -6/9,- 8/12,-10/15
Step-by-step explanation:
hope it helps pls mark brainliest
solve for x
2(x - 2) + 3 = 2x - 1
9514 1404 393
Answer:
x can be any value (infinite number of solutions)
Step-by-step explanation:
The equation simplifies to ...
2(x -2) +3 = 2x -1
2x -4 +3 = 2x -1
2x -1 = 2x -1
This is true for every value of x. There are an infinite number of solutions.
You select a letter at random from the letters shown. Express the following probabilities as a fraction, a decimal, and a percent. letters A B C D E
A) P (vowel)
B) P (consonant)
Answer:
B
Step-by-step explanation:
ou select a letter at random from the letters shown. Express the following probabilities as a fraction, a decimal, and a percent. letters A B C D E
A) P (vowel)
B) P (consonant)
Answer:
the fraction would be 1/5 chance for every letter.
Step-by-step explanation:
there is one of each letter and there is 5 letters, therefore there is a 1/5 chance of selecting A, B, C, D, or E.
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
simplify 9x + 18(2x - 6) + 13
Answer:
45x-95
Step-by-step explanation:
Step-by-step explanation:
9x + 36x - 108 + 13
45x - 95
Cora opened a coffee shop. She plans to buy some tables that seat exactly 2 people and one large table that can seat 8 people. Due to the size of her shop, she can seat no more than 40 people at a time. Find the number of total tables Cora can fit into her coffee shop. Select all that apply.
a) 17
b) 16
c) 18
The number of total tables Cora can fit into her coffee shop is 16.
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
We have,
Cora plans to buy some tables that seat exactly 2 people and one large table that can seat 8 people.
The capacity of shop is 40 people.
So, the number of total tables Cora can fit into her coffee shop is
= 8 x 2
= 16
Learn more about Combination here:
https://brainly.com/question/13387529
#SPJ2
I NEED HELP
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
2,7,12,...
Answer:
Arthmetic, it is a 5 difference
Step-by-step explanation:
Brainliest pls
2. Simplify the expression by combining like terms. 3y+4y+6
A. 13y
B.7y+6
C.12y+6
D.18y
Answer:
B
Step-by-step explanation:
Y is the like term here, so add them together: 3y+4y=7y.
So now you have 7y+6
Jessica then goes to Macy’s to buy a pair of panths. Find the rate of discount for her purchase if the pants cost $54 and are on sale for $41.99
Ms.Maxwell bought a purse with 1/4 of her money. The purse cost $37.00. How much money did Ms.Maxwell have left after she bought the purse?
Answer:
the money left after purchasing the purse is $111
Step-by-step explanation:
The computation of the money left after purchasing the purse is given below:
Since in the question it is mentioned that she bought a purchase with one-fourth of money
And, the purse cost is $37
So the amount left would be
= $37 × (3 ÷ 4) ÷ (1 ÷ 4)
= $37 × 0.75 ÷ 0.25
= $111
Hence, the money left after purchasing the purse is $111
WILL MARK BRAINLIESTTT!! 50 POINTS!! PLS ANSWER IT WOULD MEAN THE WORLD!
Carlos opened a savings account with $400 and was paid simple interest at an annual rate of 9%. When Carlos closed the account, he was paid $108 in interest. How long was the account open for, in years?
Answer:
time=simple interest ×100/(principal ×tate)=$108×100/($400×9)=$10800/$3600=3years