Prime number after 167, 118, 82, 57, 41,
The prime numbers after 167, 118, 82, 57, 41 are 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.
Prime numbers are numbers that are divisible by 1 and itself.
This are number greater than one with only two factors which are 1 and itself.
In other words, this number, when they are divided by another number other
than 1 or itself , one will get a remainder that is not zero.
Example of prime numbers are 2, 5, 7, 11, 13 etc.
The prime numbers after 167, 118, 82, 57, 41 are as follows:
37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.
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HELP!!!! If you help me with this you’ll be my favorite person ever
Show that sec(x)-tan(x)sin(x)=cos(x)is an identity for any value of x.
Here is one way to show that the left side is identical to the right side.
[tex]\sec(x)-\tan(x)\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin(x)}{\cos(x)}\sin(x) = \cos(x)\\\\\\\frac{1}{\cos(x)}-\frac{\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{1-\sin^2(x)}{\cos(x)} = \cos(x)\\\\\\\frac{\cos^2(x)}{\cos(x)} = \cos(x)\\\\\\\cos(x)=\cos(x)\\\\\\[/tex]
Throughout the entire process, the right hand side stayed the same. When working on identities, it's important to keep one side the same while you transform the other side.
Despite the two sides being identical when simplified, there is the issue of cos(x) being zero in the denominator on the left hand side. Be sure to account for this when forming the domain. No such issue occurs on the right hand side. For instance, the value x = pi/2 leads to a division by zero error when in radian mode. So if I was your teacher, I would revise the "for any value of x" and replace it with something along the lines of "for any x value in the domain".
Solve for the value of X
Check the picture below.
The base of a triangle is shrinking at a rate of 5 cm/s and the height of the triangle is increasing at a rate of 9 cm/s. Find the rate at which the area of the triangle changes when the height is 12 cm and the base is 4 cm.
Provide your answer below:
The rate of change of the area of the triangle is ___ cm²/s.
Answer:
Step-by-step explanation
Area of a triangle
A = ½bh
dA/dt = ½(b(dh/dt) + h(db/dt)
dA/dt = ½(4(9) + 12(-5))
dA/dt = ½(36 - 60)
dA/dt = ½(-24)
dA/dt = -12 cm²/s
The rate of change of the area of the triangle is [tex]-12 cm^2/s[/tex].
The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to an area of an open surface or even the boundary of a three-dimensional object, whereas the area of a plane region as well as plane area refers to a area of a shape or planar lamina. Area can be interpreted as the quantity of material with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover a surface in a single coat. It is the two-dimensional equivalent of a curve's length.
A shape's area can be calculated by contrasting it with squares of a known size.
[tex]\frac{\mathrm{d} b(t)}{\mathrm{d} t}=-5cm/s[/tex]
[tex]\frac{\mathrm{d} h(t)}{\mathrm{d} t}=9 cm/s[/tex]
[tex]\frac{\mathrm{d}A }{\mathrm{d} t}=\frac{1}{2}\left (b\frac{\mathrm{d} h}{\mathrm{d} t} +h\frac{\mathrm{d} b}{\mathrm{d} t}\right )[/tex]
[tex]\frac{\mathrm{d} A}{\mathrm{d} t}=-12 cm^{2}/s[/tex]
Hence, The rate of change of the area of the triangle is [tex]-12 cm^2/s[/tex].
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You use substitution to solve a system of equations and, after simplifying, end with a statement that says 7 7. Describe what this statement means about the number of solutions and about the graph of the system.
Answer:
Sample Response: Since the statement is true, there are an infinite number of solutions to the system. This statement also indicates that the lines are equivalent.
Calvin and Sanjay are each thinking of a number. If you multiply Sanjay’s number by 3 and subtract
2, you get Calvin’s number. If you take half of Calvin’s number and then subtract 2, you get Sanjay’s
number. What number is each thinking of?
Answer:
Calvin's number: 16 Sanjay's number: 6
Step-by-step explanation:
6 x 3 = 18, 18 - 2 = 16
16 / 2 = 8, 8 - 2 = 6
HELPPPP PLEASE I will give brainliest and I put it up for 100 points
..................✨✨✨✨✨✨✨✨✨✨✨✨✨✨
Answer:
2xz⁵/y⁴Step-by-step explanation:
Given expression:
[tex]\frac{16x^2yz^{13}}{8xy^5z^8}[/tex]Simplify considering like terms:
16/8 = 2x²/x = xy/y⁵ = 1/y⁴z¹³/z⁸ = z⁵The simplified expression is:
2xz⁵/y⁴In a video game, Adrien earns 5 bonus spins on each of the first three levels and 2 bonus spins on each of the next three levels. How many bonus spins does Adrien earn on all six levels?
Answer:
I think the answer is 21.
Step-by-step explanation:
So, there are 5 spins for 3 levels + 2 spins for another 3 levels. This would be 5(3)+2(3)
15+6
21
Two trains are traveling at a constant rate. Which train has the greater speed?
The Fresh and Green Company has a savings plan for employees. If an employee
makes an initial deposit of $1000, the company pays 8% interest compounded
quarterly. If an employee withdraws the money after five years, how much is in
the account?
Answer:
$1400
Step-by-step explanation:
The Fresh and Green Company has a savings plan for employees. If an employee makes an initial deposit of $1000, the company pays 8% interest compounded quarterly. If an employee withdraws the money after five years, how much is in the account?
First you need to make 8% into a decimal.
To do that you need to move the decimal point to spaces to the left.
8. ----- 0.8 ----- 0.08
The decimal is 0.08.
Now multiply $1000 by 0.08.
Which is $80.
Now do $80 times 5 years.
which is $400 interest.
Now add $400 to $1000.
Which is $1400.
Question 1
To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.
a. Write an expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs.
b. What does the coefficient of the expression in part (a) represent?
Answer:
1a. 195x
1b. 195
Step-by-step explanation:
1a. To determine the expression, we know that we need to get x amount of dogs and we need to pay $80+$65+$50 for each dog so we would be $195x.
1b. The coefficient of an expression is where a constant is multiplied by a variable and the integer is the coefficient. The integer that is being multiplied by the variable is 195 so 195 is the coefficient
hope this helps!
Mark me as brainiest if you can
How do you solve multistep equations with variables on both sides
of the equals sign?
5x - 8 = 3x + 12
- 3x -3x
You have to subtract them both.
2x - 8 = 12
A sixth grade class collects 176 items for recycling three out of every eight items are cans the rest are bottles how many bottles does the class collect
Answer:
110
Step-by-step explanation:
We know that 5/8 of 176 so the answer is 110.
110 bottles class collect.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A sixth grade class collects 176 items.
Now, three out of every eight items are cans
= (8- 3)
= 5
So, number of bottles class collect
= 176 x 5 / 8
= 22 x 5
= 110
Hence, 110 bottles class collect.
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What is the slope of the line?
Answer:
-5
Step-by-step explanation:
Use the slope triangle I mentioned in a previous question
Britney is trying out for the track team along with 24 other people nine people were running distance seven people were there to sprint three people are in the competition to throw Shotput and six people were there to polevault Britney was able to run a half a mile in six minutes and she finish seventh Place in the 100 m dash which of these pieces of data is discreet and which one is continuous
Answer:
The 6-minute half-mile time is continuous data; the number of people trying out for the team is discrete data.
Step-by-step explanation:
Which values from this set {−30, −20, −10, 0, 10, 20} satisfy this inequality?
−15x+3≤7
−20, −10, 0, 10, and 20 only
0, 10, and 20 only
−30, −20, and −10 only
−30 and −20 only
Answer:
0, 10, and 20 only
Step-by-step explanation:
−15x + 3 ≤ 7
−15x + 3 - 3 ≤ 7 - 3
−15x ≤ 4
−15x / -15 ≥ 4 /- 15 multiplying by a negative number reverses the sign.
x ≥ -4 / 15
probably quicker to just plug the numbers in. Any negative input will immediately create a false statement.
Find the equation of a line whose slope is 6 and passing through (3 , 3 ).
Answer:
y=6x-15
Step-by-step explanation:
y-y1=m(x-x1)
y-3=6(x-3)
y-3=6x-18
y=6x-18+3
y=6x-15
Solve the exponential equation by the method of relating the bases, first rewriting the equation in the form
Answer:
x = 1/3
Step-by-step explanation:
Both bases can be written as powers of 6.
36^x = (1/6)^(x-1) . . . . . . given
(6^2)^x = (6^-1)^(x -1) . . . . . bases as powers of 6
6^(2x) = 6^(-x+1) . . . . . . . . . simplify exponents
2x = -x +1 . . . . . . . . . . . . . . . .equate exponents of the same base
3x = 1 . . . . . . . add x
x = 1/3 . . . . . divide by 3
Solve 4(x + 6) = 2(2x + 12)
Answer:
Infinitely many solutions
Step-by-step explanation:
[tex]4(x+6)=2(2x+12)[/tex]
[tex]4(x+6)=2(2(x+6))[/tex]
[tex]4(x+6)=4(x+6)[/tex]
Infinitely many solutions
Answer:
Hiya There....!!!
______________________
Any value of x makes the equation true. Always true
Interval Notation:
( − ∞ , ∞ )
_______________________
“Most things are forgotten over time. Even the war itself, the life-and-death struggle people went through is now like something from the distant past. We’re so caught up in our everyday lives that events of the past are no longer in orbit around our minds. There are just too many things we have to think about everyday, too many new things we have to learn. But still, no matter how much time passes, no matter what takes place in the interim, there are some things we can never assign to oblivion, memories we can never rub away. They remain with us forever, like a touchstone.”
― haruki murakami, Kafka on the Shore__________________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
Find x round. your answer to the nearest tenth of a degree
Answer:
x = 55.6
Step-by-step explanation:
Recall the 3 main trig functions
Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent
Note that hypotenuse = longest side length
We want to find angle "x".
We are given its opposite side length ( 19 ) as well as the adjacent side length
When dealing with the opposite and adjacent we use tan
Tan = Opp / Adj
Opp = 19 and Adj = 13
Tan(x) = 19/13
* take the inverse tan of both sides *
x = 55.6
Poppy is the manager of a unisex hair salon.
The salon uses a mixture of three products for hair colouring
This table shows the number of millilitres (ml) of each product used for the mixture
Product
Amount
Colour
30ml
Developer
60ml
Conditioner
60ml
Poppy has the following amount of each product in stock
3.5 litres of Colour
0.5 litres of Developer
2.2 litres of Conditioner
The salon has about so appointments for hair colouring per month
Poppy can only order products in whole litres.
For next month, she thinks she has enough colour and conditioner in stock but she needs to
order 4 litres of developer
24 Is Poppy correct?
Explain your answers
Show your working
Examiner
use only
(5 marks)
The content of the mixture, which are the colour, developer, and
conditioner, are in a fixed proportion to each other.
Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.Reasons:
The table of the amount of each product used in the mixture are;
[tex]\begin{tabular}{|c|c|c|c|}Product&Colour&Developer&Conditioner\\Amount&30 ml&60 ml&60 ml\end{array}\right][/tex]
The number of appointment per month = 50
The quantities used per month have a proportional relationship
Quantity used a month are;
Colour = 30 ml × 50 = 1,500 ml
Developer = 60 ml = × 50 = 3,000 ml
Conditioner = 60 ml × 50 = 3,000 ml
Quantity available are;
Colour = 3.5 liters
Developer = 0.5 liters
Conditioner = 2.2 liters
The quantity needed = Quantity used - Quantity available
Therefore;
Quantity needed are;
Colour = 1,500 ml - 3,500 ml = -2,000 ml
Developer = 3,000 ml - 500 ml = 2,500 ml
Conditioner = 3,000 ml = 2,200 ml = 800 ml
Therefore, Poppy has enough colour but she needs 2,500 ml of developer and 800 ml conditioner
Therefore, she should order;
3,000 ml = 3 liters of developer
1,000 ml = 1 liter of conditioner
Therefore;
Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.
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The notebook shows the money Lyla earned and spent over two days. A positive number represents money earned. A negative number represents money spent.
Answer:7 + (-5)= 2
Step-by-step explanation:
7 + (-5)= 2 i hope its right'
Find the length of the second base of a trapezoid with one base measuring 12 feet,a height of 4,and an area of 58 square feet.
Answer:
Step-by-step explanation:
A = ½(b₁ + b₂)h
b₂ = 2A/h - b₁
b₂ = 2(58)/4 - 12
b₂ = 17 ft
A 5 foot wide painting should be centered on a 11 foot wide wall. How many feet (x) should be on each side of the painting?
Answer:
3 feet on each side
Step-by-step explanation:
11 - 5 = 6
6/2 = 3
What is the value of X?
the assumption here is that both triangles are similar, if that's so, then we can use proportions to get the sides.
[tex]\stackrel{\textit{assuming both triangles are similar}}{\cfrac{x}{10}=\cfrac{15}{6x}\implies \cfrac{x}{10}=\cfrac{5}{2x}}\implies 2x^2=50 \\\\\\ x^2=\cfrac{50}{2}\implies x^2=25\implies x=\sqrt{25}\implies \boxed{x=5}[/tex]
Which group of numbers is listed from least to greatest?
0 -2,3,5,-8,9
0 -4, -6, -7,-8, -9
0 -2,-1, 0, 4,9
O 7,4, -6, -7, -9
Answer:
the third one
zero should always come after the negatives, and a whole number should always end the set.
-2.7f + 0.3f - 16 - 4=
Answer:
-2.4f or -8 1/3
Step-by-step explanation:
I am not sure what should be at the end of the equal sign but if it is to simplify it would be -2.4f-20
If you want to solve then you get -2.4f=20 so f=-20/2.4 which equal to -8 1/3
Pls help I’ll brainlest ASAP and add extra points I’m failing
Step-by-step explanation:
you drew already the right things, you have everything.
so, what is the problem ?
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.
so, for the 2 marked points you showed correctly the differences :
x changes by +8 (from -4 to 4).
y changes by -2 (from 3 to 1).
so the slope is -2/+8 = -1/4
the y-intercept we also see directly in the chart : +2.
ANSWER FOR 30 POINTS
Answer:
one solution.
Step-by-step explanation:
using elimination, u can get one solution