Answer:
Only 10 base units to learn
Step-by-step explanation:
The metric system is a decimal based system developed to be universally acceptable by making use of base units from obtained from nature and the use of prefixes for multiples and submultiples of the base units, decimal ratios, which allows easy representation of quantities, as well as having a coherent structure of base and derived units which are obtained from the base units
During conversion in the metric system, which is decimal based, it is only required to move the decimal point
The prefixes which are used to specify multiples and submultiples are the same through out
The decimal system is based on the powers of ten
The number of base units to learn are 7 including; 1. Meter (m), 2. Kilogram (kg), 3. Second (s), 4. Ampere (A), 5. Kelvin (k), 6. Candela (cd), and 7. mole (mol)
Therefore the metric system has several advantages that include all of the following except; Only 10 base units to learn
Four students are playing a multi-level video game. Leo is playing the first level in the game.
Ralph is six levels above Leo.
Mike is two levels below Ralph.
Don, who is playing the last level of the game, is five levels above Mike.
How many levels does the game have?
Answer:
10 levels
Step-by-step explanation:
Ralph is on level 7
Mike level 5
Don level 10 and is playing the last one of game
The game has 10 levels
Leo is playing the first level and Ralph is sex levels above Leo. This means that Ralph is playing level:
= 1 + 6
= 7
Mike is two levels below Ralph which means that Mike is playing level:
= 7 - 2
= 5
Don is playing the last level and is five levels above Mike which means that Don is playing level:
= 5 + 5
= 10
Don is playing level 10 which is the last level so the game has 10 levels.
Find out more at https://brainly.com/question/23623247.
1-cot^2a+cot^4a=sin^2a(1+cot^6a) prove it.
Step-by-step explanation:
We have
1-cot²a + cot⁴a = sin²a(1+cot⁶a)
First, we can take a look at the right side. It expands to sin²a + cot⁶(a)sin²(a) = sin²a + cos⁶a/sin⁴a (this is the expanded right side) as cot(a) = cos(a)/sin(a), so cos⁶a = cos⁶a/sin⁶a. Therefore, it might be helpful to put everything in terms of sine and cosine to solve this.
We know 1 = sin²a+cos²a and cot(a) = cos(a)/sin(a), so we have
1-cot²a + cot⁴a = sin²a+cos²a-cos²a/sin²a + cos⁴a/sin⁴a
Next, we know that in the expanded right side, we have sin²a + something. We can use that to isolate the sin²a. The rest of the expanded right side has a denominator of sin⁴a, so we can make everything else have that denominator.
sin²a+cos²a-cos²a/sin²a + cos⁴a/sin⁴a
= sin²a + (cos²(a)sin⁴(a) - cos²(a)sin²(a) + cos⁴a)/sin⁴a
We can then factor cos²a out of the numerator
sin²a + (cos²(a)sin⁴(a) - cos²(a)sin²(a) + cos⁴a)/sin⁴a
= sin²a + cos²a (sin⁴a-sin²a+cos²a)/sin⁴a
Then, in the expanded right side, we can notice that the fraction has a numerator with only cos in it. We can therefore write sin⁴a in terms of cos (we don't want to write the sin²a term in terms of cos because it can easily add with cos²a to become 1, so we can hold that off for later) , so
sin²a = (1-cos²a)
sin⁴a = (1-cos²a)² = cos⁴a - 2cos²a + 1
sin²a + cos²a (sin⁴a-sin²a+cos²a)/sin⁴a
= sin²a + cos²a (cos⁴a-2cos²a+1-sin²a+cos²a)/sin⁴a
= sin²a + cos²a (cos⁴a-cos²a+1-sin²a)/sin⁴a
factor our the -cos²a-sin²a as -1(cos²a+sin²a) = -1(1) = -1
sin²a + cos²a (cos⁴a-cos²a+1-sin²a)/sin⁴a
= sin²a + cos²a (cos⁴a-1 + 1)/sin⁴a
= sin²a + cos⁶a/sin⁴a
= sin²a(1+cos⁶a/sin⁶a)
= sin²a(1+cot⁶a)
pls help asap no wrong answers------------
Answer:
0.75, 1.25
Step-by-step explanation:
first we bring the line equation into the same format as the parabola equation (y = ...)
3x - y = 1
=>
y = 3x - 1
now we can say for the intersection points both equations must have the same result.
4x² - 1 = 3x - 1
4x² - 3x = 0
x(4x - 3) = 0
there are only 2 possible cases to make this true :
x = 0
and 4x - 3 = 0
4x = 3
x = 3/4 = 0.75
for the y value let's use the easier equation (line) :
y = 3×3/4 - 1 = 9/4 - 4/4 = 5/4 = 1.25
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
An alphabetical list is generated of each member of the student body at a local middle school. The first name on the list is in the sample, along with every 5th name on the list after that. This is an example of a __________________.
A. systematic sample
B. stratified random sample
C. convenience sample
D. random sample
Answer:
Option A, systematic sample
Which statement is true about the function represented by this graph?
Answer: Choice D)
The function has a range of all real numbers less than or equal to 2.
=======================================================
Explanation:
Let's go through the answer choices to see which are true, and which are false.
A) This is false because (0,-2) is a y intercept, and not an x intercept. A zero of a function is always an x intercept.B) This is false. The curve peaks at the vertex (2,2) showing we have a max point, and not a min point.C) This is false. A function can have at most one y intercept. If it had more than one y intercept, then it wouldn't be a function (since the input x = 0 leads to more than one output).D) This is true. The range is the set of possible y outputs. We see that y = 2 is the largest output, which occurs at the vertex. We can get anything smaller than this y value. Therefore, the range is the set of y values such that [tex]y \le 2[/tex]Answer:
option D
Step-by-step explanation:
THE FUNCTION HAS A RANGE OF ALL REAL NUMBERS LESS THAN OR EQUAL TO 2
M.P=Rs 480, S.P= Rs 456
Answer:
bro what to find in this question. Hope you understand me
Step-by-step explanation:
Please mark me brainliest thanks
Help plz and thanks
Answer:
6b
Step-by-step explanation:
On Saturday, the fruit and juice bar was selling 22 glasses of fruit punch an hour. By 4 p.m., they had sold 132 glasses. If their goal was to sell more than 264 glasses of fruit punch, which inequality can be used to find h, the number of hours they must stay open to make their goal?
A. 132 + 22h > 264
B. 22h < 264 + 132
C. 132 + 22h < 264
D. 132 + 264 > 22h
Answer:
A. 132 + 22h > 264
Step-by-step explanation:
Hourly sales = 22 glasses of fruit punch
Sales by 4 p.m = 132 glasses
Goal = more than 264 glasses
h = number of hours they must stay open to make their goal
The inequality:
132 + 22h > 264
22h > 264 - 132
22h > 132
h > 132/22
h > 6 hours
This means, the number of hours they must stay open to make their goal of more than 264 glasses is more than 6 hours
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Just remember that V=½×A×B×H
where B is the base not breadth.
solving this yourself will give you the answer.
find the transpose of matrics.
Q=[789]
Answer:
[7]
[8]
[9]
Step-by-step explanation:
according to your question
your answer is
[7]
[8]
[9]
you must be write this answer in one bracket
solve this questions
Answer:
a) Sale Price; Rs. 800 Discount rate: 20%
b) Sale Price; Rs. 4000 Discount rate: 20%
c) Sale Price; Rs. 6000 Discount rate: 35%
Step-by-step explanation:
1. Approach
In these problems, one is given a list of original prices and the amount of price taken off during a discount. One has to find the sale price and the rate of discount. The easiest way to find the sale price is to subtract the discount price from the original price. The general train of thought to do this can be found in the following formula:
[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]
One is also asked to find the rate of discount. Use the following proportion format to do so:
[tex]\frac{discount\ amount}{original\ price}=\frac{percent}{100}[/tex]
Substitute each of the values in the given problem into the equation and solve for the price.
2. Part A
Original price: 1000
Discount: 200
1. Sale price
Formula[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]Substitute and solve,[tex]1000-200=(sale\ price)[/tex][tex]\\800 = sale\ price[/tex]2. Discount rate
Formula[tex]\frac{discount\ amount}{original\ price}=\frac{percent}{100}[/tex]Substitute, simplify, and solve[tex]\frac{200}{1000}=\frac{percent}{100}[/tex][tex]\frac{1}{5}=\frac{percent}{100}[/tex][tex](5)(percent)=1(100)[/tex][tex]percent=20[/tex]3. Part B
Original price: 5000
Discount: 1000
1. Sale price
Formula,[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]Substitute and solve[tex]5000-1000=(sale\ price)[/tex][tex]4000=(sale\ price)[/tex]2. Discount rate
Formula[tex]\frac{discount\ amount}{original\ price}=\frac{percent}{100}[/tex]Substitute, simplify, and solve[tex]\frac{1000}{5000}=\frac{percent}{100}[/tex][tex]\frac{1}{5}=\frac{percent}{100}[/tex][tex]5(percent)=1(100)[/tex][tex]percent=20[/tex]4. Part C
Original price: 8000
Discount: 2000
1. Sale price
Formula[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]Substitute and solve[tex]8000-2000=(sale\ price)[/tex][tex]6000=(sale\ price)[/tex]2. Discount rate
Formula,[tex]\frac{discount}{amount}=\frac{percent}{100}[/tex]Substitute, simplify and solve,[tex]\frac{2000}{8000}=\frac{percent}{100}[/tex][tex]\frac{1}{4}=\frac{percent}{100}[/tex][tex]4(percent)=1(100)[/tex][tex]percent=25[/tex]simplify 4x^2-3xy+2xy+9x^2
Answer:
13x^2 - xy
Step-by-step explanation:
4x^2-3xy+2xy+9x^2
=13x^2-xy
Find the slope of the line that passes through (1, 13) and (4,9)?
Inverse trigonometry functions I need help finding the answers everything I’ve tried says it’s wrong
Answer:
see below
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hypotenuse
cos x = 13/20
Taking the inverse cos of each side
arccos ( cos x ) = arccos( 13/20)
x = arccos ( 13/20)
x =49.45839
x = 49 to the nearest whole number
sin theta = opp/ hyp
sin y = 13/20
Taking the inverse sin of each side
arcsin ( sin y ) = arcsin( 13/20)
y = arcsin ( 13/20)
y=40.5416
y = 41 to the nearest whole number
find the surface of each figure. Round your answer to the nearest tenth.
Answer:
282.7 ft^2
Step-by-step explanation:
Surface area=2*pi*r(r+h)
2*pi*3*(15)=282.7 ft^2
Hey there!
I believe your answer would be 282.7.
The formula should be 2πrh+2πr^2. So, 2·π·3·12+2·π·3^2.
Round the answer to the nearest tenth, and you will get 282.7!
Hope this helps!
Have a great day!
create another show real life multi-step function problems with Solutions in quadratics
Answer:
Kazan also SOS jz zks zj sj aka always zks. aiwow
what is 7/8 divided by 1/8
Answer:
7
Step-by-step explanation:
Concepts:
Division: a system of distributing a collection of things into equal partsFractions: #s that represent a part of a wholeDividing Fractions: dividing a fraction by another fraction = multiplying the fraction by the inverse (reciprocal) of the other oneInverse Operations: operations that are opposite of each other (e.g. inverse of addition is subtraction)Solving:
1. First, let's set up the equation:
7/8 ÷ 1/8
2. We can get the reciprocal of 1/8 by doing the opposite of division; multiplication. 1/8 becomes 1 · 8, and that's equal to 8.
3. Now, since we know dividing a fraction by another one is exactly the same as multiplying the fraction by the reciprocal of the other, let's multiply 7/8 by the inverse of 1/8, which is 8.
7/8 · 8 = 56/8 = 7
Therefore, 7/8 divided by 1/8 is equal to 7.
Does anyone know the answer for this?
Answer:
I'm pretty sure it's the 3rd option
Answer:
first option is correct
Step-by-step explanation:
because there are less no. on negative side than on positive one
What number line shows Point A at -4, Point B at 2.5, Point C at -2 1/2, and Point D, which is the opposite of Point A.
Answer: Choice A
Explanation:
Since -3/5 > -0.8, this means -3/5 is to the right of -0.8
Larger stuff is to the right of smaller stuff. Another example would be 10 > 7, meaning we have 10 to the right of 7 since 10 is larger.
Any negative value is always to the left of 0, so -3/5 is to the left of 0.
That's why the answer is choice A.
GEOMETRY QUESTION- Find m < h
9514 1404 393
Answer:
m∠H = 38°
Step-by-step explanation:
External angle GFD is the sum of internal angles G and H.
14x +1 = 89° +(5x -7)
9x = 81°
x = 9°
Then the measure of angle H is ...
angle H = 5(9°) -7° = 38°
5. For an acute angle 0, cos(0) = sin(33) is true. What is the value of 0?
Answer:
Value is 57
Step-by-step explanation:
sin 33
= sin (90-57)
= cos 57
Answered by GAUTHMATH
Write an equation, in slope-intercept form, of the line that passes through the given point and satisfies the given condition. (-1, -4); perpendicular to y=2x+5
Answer:
y = -1/2x - 9/2
Step-by-step explanation:
The sum of 30 terms of series in A.P, whose last term is 98, is 1635. Find the first term and the common difference.
Let a(n) denote the n-th term in the sequence. Because the terms are in arithmetic progression, there is a fixed number d that separates consecutive terms, so that starting with a(1) = a, the next few terms are
a(2) = a(1) + d = a + d
a(3) = a(2) + d = a + 2d
a(4) = a(3) + d = a + 3d
and so on, up to
a(n) = a + (n - 1) d
We're given that the 30th term is 98, so
a(30) = a + 29d = 98
The sum of the first 30 terms is 1635, so that
[tex]\displaystyle \sum_{n=1}^{30}a(n) = \sum_{n=1}^{30}(a+(n-1)d) \\\\ 1635 = a\sum_{n=1}^{30}1 + d\sum_{n=1}^{30}(n-1) \\\\ 1635 = 30a + d\sum_{n=0}^{29}n \\\\ 1635 = 30a + d\sum_{n=1}^{29}n \\\\ 1635 = 30a + \frac{d\times29\times30}2[/tex]
so that
30a + 435d = 1635
Solve the equations in boldface for a and d. I'll eliminate a and solve for d first.
-30 (a + 29d) + (30a + 435d) = -30 (98) + 1635
-30a - 870d + 30a + 435d = -2940 + 1635
-435d = -1305
d = 3
Then
a + 29 (3) = 98
a + 87 = 98
a = 11
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answer:
x = 24.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 43 = x /34
34 cos 43 = x
x=24.86602
To the nearest tenth
x = 24.9
Pls I need help!!!Question 6 (Essay Worn 6 points) (06.03) 9(5x + 1) = 37 From the expression above, pronde an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write 'not present."
Answer:
5x+1=6.136
5x=6.136-1
5x=5.136
x=5.135/5
x=1.03
x=1
An object that weighs exactly 1
pound is placed on a digital scale that measures weight in ounces.
If the scale is accurate and precise, what weight might be shown on the scale?
Geometry, please answer question ASAP
Answer:
66
Step-by-step explanation:
since BD and BC are congruent, angle C and angle D are equal. this means 6x-9=3x+24. If you solve this equation you get x=11. If you plug it into either 6x-9 or 3x+24 you get 57. 180-(57+57)=66
[tex]\sqrt{a} +\sqrt{b} =\sqrt{a+b}[/tex]CHO A,B THUỘC R, khẳng định sau đúng hay sai
Answer:
Hello,
Step-by-step explanation:
Le théorème est faux
since a=9 and b=16 then
[tex]\sqrt{9} +\sqrt{16} =3*4=7 \\\sqrt{9+16} =\sqrt{25} =5\\[/tex]
Gregg’s phone plan charges $.50 per text message plus $.70 a day. Howard’s plan charges $.30 a text plus $2.50 a day. For what number of texts, a day are the cost of the phone plans the same? Show work.
Answer:
x=9
Step-by-step explanation:
.5x+.7 = .3x+2.5
-.7 -.3x
.2x=1.8
/.2 /.2
x=9
.5(9)+.7=5.2
.3(9)+2.5=5.2
how many tens are in the number 15?
Answer:
1 tens and 5 ones
