please help me with maths. it's a standard form topic
The diameter of a bacteria species A is 1 micrometre long while bacteria B is 1 x 10^-3 the size of bacteria species A.
a) What is the diameter of bacteria species B in metres?
b) Based on your answer in (a), is the value obtained less than, greater than or equal to 1 nanometre?
Answer:
Bacteria A has diameter size of 1 micrometer = 1 × 10⁻⁶ m
a) B is 1× 10⁻³ size of A:
1 × 10⁻⁶ * 1 × 10⁻³ = 1 × 10⁻⁹ mb) 1 nanometer = 1 × 10⁻⁹ m
And bacteria B diameter size is equal to 1 nanometerI’m very bad at slope sorry guysss!!!!!
Answer:
-4/3
Step-by-step explanation:
Dot goes down 4 (negative) and then 3 to the right (positive)
rise over run ---> -4/3!
Answer:
omg.. what is this.. I'm sorry I can't help u :)
Which reflection will produce an image of ARST with a
vertex at (2, -3)?
O a reflection of ARST across the x-axis
O a reflection of ARST across the y-axis
O a reflection of ARST across the line y = x
O a reflection of ARST across the line y=-x
Answer: D- a reflection of ^RST across the line y=-x
Step-by-step explanation:
The solution is, O a reflection of RST across the line y=-x, is the reflection which will produce an image of RST with a vertex at (2, -3).
What is reflection?Reflection is a type of transformation that flips a shape in a mirror line (also called a line of reflection) so that each point is the same distance from the mirror line as its reflected point.
here, we have,
from the given figure,
we get,
Triangle RST has,
vertex R ( -1,3)
vertex S ( 3, -2)
vertex t (1, -4)
now we know that,
the rule of a reflection across the line y=-x,
(x, y) ⇒ (-x, -y)
so, we get, here,
vertex S ( 3, -2) ⇒ vertex at (2, -3)
so, there is O a reflection of RST across the line y=-x.
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PLEASE ANSWER QUICKLY
Robert's yacht holds 70 passengers. Each hour he stops at the marina to let some passengers off and on. The scatter plot shows how many passengers are on board during each hour of boating
write an equation in slope intercept form for the line that is drawn
use the equation to make a conjure about how many passengers will be on the boat at hour six
Answer:
65 passengers
At hour six, about 54 passengers will be on the boat.
What is the line of best fit?
A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.
Sum of X = 15
Sum of Y = 195
Mean X = 3
Mean Y = 39
The sum of squares (SSX) = 10
The sum of products (SP) = 50
Regression Equation = ŷ = bX + a
b = SP/SSX = 50/10 = 5
a = MY - bMX = 39 - (5*3) = 24
ŷ = 5X + 24
When x = 6,
we get ŷ = 5(6) + 24 = 54
Therefore, the approximate number of passengers is 54.
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Latasha explores some passages in a cave. The elevations of the passages are all above - 10 meters. Let y be the elevation of a passage in meters. Write an inequality that represents elevations above -10 meters.
Answer:
It is y>-10
Step-by-step explanation:
i did it and i got it right.
The inequality that represents elevations above -10 meters is y > -10.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
The inequality y > -10 means that the elevation y of a passage is greater than -10 meters.
This represents all the elevations of passages that are above -10 meters, which is the given condition in the problem.
If the elevation is exactly -10 meters or below, then it does not meet the condition of being above -10 meters.
Therefore, any elevation that is greater than -10 meters satisfies this inequality, and any elevation that is less than or equal to -10 meters does not.
Thus,
The inequality that represents elevations above -10 meters is y > -10.
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Miguel is buying carpeting for his bedroom. The dimensions of his bedroom are 12 ⅓ inches wide and
9 ¼ inches long. How many square feet of carpeting does Miguel need to cover his bedroom floor?
Answer:
Miguel needs 1,369/9 square inch of carpeting
Step-by-step explanation:
Here, we want to know the size of carpeting needed to cover the floor
What we have to do here is to find the area of the bedroom floor
Mathematically, we have this as the product of the dimensions of the floor;
This will give;
12 1/3 inches * 9 1/4 inches
= 37/3 * 37/3 = 1,369/9 square inches
c) 4x−4/5= 2
Plss daje naj
Answer:
x = [tex]\frac{7}{10}[/tex]
Step-by-step explanation:
Given
4x - [tex]\frac{4}{5}[/tex] = 2 ( multiply through by 5 to clear the fraction )
20x - 4 = 10 ( add 4 to both sides )
20x = 14 ( divide both sides by 20 )
x = [tex]\frac{14}{20}[/tex] = [tex]\frac{7}{10}[/tex]
x=7/10
Step-by-step explanation:
4x-4/5=2
multiply all through by 5
20x-4=10
collect like terms
20x=14
divide all through by 20
x=14/20
x=7/10
if 24 is 75% of a number, what is that number?
Answer:
32
Step-by-step explanation:
I have first done the equationthen I tried to prove it down there that's why I have written 75% hope you'll understand.
Question 2 (1 point)
The function f(x) = 0.5x + 3 is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of
people being served, X. The mathematical domain for the function is the set of real numbers.
Which statement describes the limitation for the reasonable domain compared to the mathematical domain?
Options:
The reasonable domain contains only positive real numbers.
The reasonable domain contains only positive whole numbers.
The reasonable domain contains only real numbers greater than 3.
The reasonable domain contains only rational numbers greater than 3.
Answer:
(b) The reasonable domain contains only positive whole numbers.
Step-by-step explanation:
Given
[tex]f(x) = 0.5x + 3[/tex]
Required
True statement about the limitation of the domain
Since the domain (x) represents people, then it must be a positive whole numbers
This eliminates options (a) and (c)
The range of the function is not given. So, we can assume that any number of people can be present.
This eliminates option (d).
Hence: (b) answers the question
plsssss HELPPPPPPPPPPPPPPPPPPPPP
Answer:
Q4: First, third, fifth
Step-by-step explanation:
I'm pretty sure question 5 is the first, and fourth one.
The temperature, in degrees Fahrenheit (°F), decreased at a constant rate from
0°F to -35 °F in 5 hours.By how many degrees did the temperature decrease per
hours
Answer:
-7
Step-by-step explanation:
The temperature dropped 7 degrees per hour
A student bought some markers in a pads of paper if the marker cost $2 each in the pads of paper cost $4 each he brought a items and all and spent $26 how many markers and how many pads of paper did he buy?
Answer:
$4
Step-by-step explanation:
We need to set up an algebraic expression to solve this problem:
Let n= cost of a notepad
Let p= cost of a pen
First set up an expression for Cynthia's purchase:
cost of notepads*number of notepads + cost of pens*number of pens = total cost
n*2 + p*3 = 40.30
Rewrite as:
2n + 3p = 40.30
Next, set up an expression for Annie's purchase:
Here we will be using the same variables
n*3 + p*5 = 61
Rewrite as:
3n + 5p =61
Now, set up a system of equations:
2n + 3p = 40.30
3n + 5p =61
A system of equations can be solved in several ways, here I will use the addition/elimination method
For this method one of the variables must be able to be eliminated
Step 1: Pick a variable to eliminate
Here I will eliminate n
Step 2: make the selected variables in the equations equal and opposite so that they cancel out when the equations are added together
(2n + 3p = 40.30)(-3)
(3n + 5p =61)(2)
-6n - 9p = -120.90
6n + 10p = 122
Step 3: add vertically
-6n - 9p = -120.90
6n + 10p = 122
p = 1.10
Step 4: Figure out the other variable by inputting the answer you just got back into the original equation
2n + 3(1.10) = 40.30
2n + 3.30 = 40.30
-3.30 37
2n = 37
/2 /2
n = 18.5
One notebook = $18.50
One pen= $1.10
18.50+1.10= $19.60
2nd step
We must first set up an algebraic expression
total=15 pencils
total=9 pens
The total amount is the price of one pencil*15
To figure out one pencil:
10 pencils are $24
1 pencil is $2.40
Total= $36
9 pens = 36
Therefore 1 pen is $4
What is the coefficient of x?
5y − 3x − 2
A bakery sold 36 chocolate-chip muffins. That was 45% of their total muffins sold that day. How many muffins did they sell in all?
o A. 80
OB. 86
O C. 98
O D. 70
Using the given percentage, we found that the total number of chocolate chip muffins sold is 80.
What is meant by percentage?
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Frequently, it is indicated with the per cent sign, "%". If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word per cent means. A % is a number without dimensions and without a standard measurement. The value of "whole" in this relationship between portion and whole is always set at 100.
Given,
the number of chocolate chip muffins sold = 36
The 36 muffins is the 45% of the total muffins sold.
Let the total number of muffins sold be x.
Then using the given percentage, we find the total muffins sold.
Percentage = (required number of muffins sold/ total number sold) *100
45% = 36/x * 100
0.45 = 36/x
x = 36/0.45 = 80
Therefore using the given percentage, we found that the total number of chocolate chip muffins sold is 80.
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Please help asap, i’m really confused what answer this is plus the explanation... ty so much for the help
Answer:
which grade u r in I'm in 10th grade and Indian
Answer:
303
Step-by-step explanation:
This is an arithmetic sequence or pattern. for this we need to find out the pattern going up.
Working Out
the number are going up by 4, the difference between each number is 4the first number is 15we need to fin the 73rd number, and since this pattern goes up by 4 we need to multiply 73 by 473 × 4 = 292
15 + 292 = 307 (15 is the first number we add 15 to it.)
307 - 4 = 303 (15 is the first number so we need to add 72 more places,
not 73 like we did.)
good luck!
-cheesetoasty
1. Find all the values of x ∈ {0,2π) that satisfy the equation (sen(x)-cos(x))²=1+cos(x)
Answer:
[tex]\displaystyle x=\left\{\frac{\pi}{2}, \frac{7\pi}{6}, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]
Step-by-step explanation:
We are given the equation:
[tex](\sin(x)-\cos(x))^2=1+\cos(x)[/tex]
And we want to find all solutions for the equation within the interval [0, 2π).
First, we can expand. This yields:
[tex]\sin^2(x)-2\sin(x)\cos(x)+\cos^2(x)=1+\cos(x)[/tex]
From the Pythagorean Identity, we know that:
[tex]\sin^2(x)+\cos^2(x)=1[/tex]
Therefore:
[tex]-2\sin(x)\cos(x)+1=1+\cos(x)[/tex]
Simplify:
[tex]-2\sin(x)\cos(x)=\cos(x)[/tex]
Subtract cos(x) from both sides*:
[tex]-2\sin(x)\cos(x)-\cos(x)=0[/tex]
Factor:
[tex]\cos(x)\left(-2\sin(x)-1)=0[/tex]
Zero Product Property:
[tex]\cos(x)=0\text{ or } -2\sin(x)-1=0[/tex]
Solve for each case:
[tex]\displaystyle \cos(x)=0\text{ or } \sin(x)=-\frac{1}{2}[/tex]
Use the unit circle. So, our solutions are:
[tex]\displaystyle x=\left\{\frac{\pi}{2}, \frac{7\pi}{6}, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]
*Note that we should not simply divide both sides by cos(x) to acquire -2sin(x) = 1. This is because we do not know what the value of x is, and so one or may values of x may result in cos(x) = 0, and we cannot divide by 0. Hence, we need to subtract and factor and utilize the Zero Product Property.
Find the measures of the angles.
Angle 1
Angle 2
Angle 3
61
90
29
27
Answer:
a1=90
a2=27
a3=61
a4=29
Savannah had 400 chocolate chips. She saved x chips for a garnish, and mixed the rest of the chocolate chips evenly into 3 pans of brownies.
How many chocolate chips were in each pan of brownies?
Answer:
( 400-x)/3
Step-by-step explanation:
Total chocolate chips Savannah had = 400
Number of chocolate chips she saved for garnishing =x
Number of chocolate chips remain = 400-x
Number of brownie pans = 3
Chocolate chips were spread evenly in 3 pans,
Chocolate chips were in each pan of brownies =( 400-x)/3
What is 5⁶ written in expanded form? o 5+5+5+5+5+5 5.5.5.5.5.5
Answer:
5x5x5x5x5x5
Step-by-step explanation:
Peter collects antique marbles. He has these two boxes full of marbles. Which box has the larger volume? How much larger is it?
Answer:
The one with marbles should have a larger volume because the box must be larger also.
Step-by-step explanation:
A regular polygon has 25 sides. Find the measure of one exterior angle. Do NOT round your answer The measure of one exterior angle isdegrees .
Answer:
72 DEGREES
Step-by-step explanation:
The question is How long did it take each time 18 liters of water were drained?
Plz help me and if you don’t know the answer plz don’t comment thank you
what makes 135 in the 9 times table
Answer:
The answer is 15
Step-by-step explanation:
135÷9=15
Answer:
9x15
Step-by-step explanation:
12. AABC is a right triangle. If AB = 3 and AC = 7, find BC. Leave your answer in simplest radical form.
A 2 square root 3
B 4 square root 3
C square root 58
D 2 square root 13
Answer:
b
Step-by-step explanation:
You multiply from left to right
Need help with a word problem! Tysm for your assistance :)
Answer:
C
Step-by-step explanation:
Answer:
option c
hope helps you
have a nice day
8. Kai bought 50 ride tickets for the amusement park. After 2 hours, he had used up 18 tickets.
(a) What is the unit rate, in tickets per hour,
that Kai is using his tickets?
(b) If Kai uses tickets at this rate the entire
time he is at the park, how many does
he still have after 5 hours?
Which Equation best matches the graph shown below?
Answer:
.2(x+1)(x+5)
Step-by-step explanation:
Well first lets start with the x intercepts which are -1 and negative 5 so the equation must be either -0.2(x+1)(x+5) or .2(x+1)(x+5)
Notice how the graph is going upwards this means the number in front of the equation -.2 or .2 must be positive making .2(x+1)(x+5) this is because if .2 was negative the graph would be going downwards
Which of the following examples has a unit rate of 50 miles per hour? Select all that apply
Answer:
A, C and E
Step-by-step explanation:
50 x 5 = 250
50 x 4 = 200
50 x 14 = 700
Please Give Brainliest If Helpful :)
Which one is the correct answer?
Answer:
200
Step-by-step explanation:
Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic meter. Plz mark me brainliest!
Answer:
200 cm^2
Step-by-step explanation:
For a rectangular prism, V = lwh
V = (10 cm)(4 cm)(5 cm) = 200 cm^2
brainliest 4 whoever can tell me the correct answer to this question
