The number of grams present in 0.54 moles of calcium is; 22 g
We are given;
Number of moles; n = 0.54 moles
Now, Molar mass of calcium is;
M = 40.1 g
Formula for number of moles is;
n = m/M
Where;
n is number of moles
m is mass in grams
M is molar mass
Thus;
0.54 = m/40.1
m = 40.1 × 0.54
m = 21.654 g
Approximately m = 22 g
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and side q has a
In the 30-60-90 triangle below, side s has a length of
length of
30°
g
10
90°
60°
S
A. 5.10.15
B. 10.13.20
C. 105: 105
Answer:
E
Step-by-step explanation:
Using the cosine and sine ratios in the right triangle and the exact values
cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2s = 10 ( divide both sides by 2 )
s = 5
------------------------------
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2q = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
q = 5[tex]\sqrt{3}[/tex]
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y = f(x + 3)
b. y = f(x – 3)
C. y + 3 = f(x)
d. y - 3 = f(x)
Answer:
C
Step-by-step explanation:
When
f(x+3) would indicate a Shift 3 units to the left
f(x-3) indicates a Shift 3 units to the right
y+3=f(x) indicates a Shift 3 units up
y-3=f(x) indicates a Shift 3 units down
Because the graph is shifted 3 units up, it would be y+3=f(x), which is option C
URGENT!!!! UNIT 4 CONGRUENT TRIANGLES
HOMEWORK 6 PROVING TRIANGLES CONGRUENT: ASA AAS AND HL
As per the question there are four congruent tringles and these congruency is that all sides are equal in length and size.
The four triangles are ASA, AAS and HL. The ∠BD divides ∠ABD. ∠BDA is equal to ∠BCD as given. In second, ST is parallel to UN and congruent to VU. That is also given. In the third statement the FH bisects the ∠EHG. FRH is congruent to FGH. Hence given.Learn more about the PROVING TRIANGLES CONGRUENT: ASA AAS AND HL.
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Dorit wants to make farmer’s cheese. She knows that for 2 gallons of milk, she will need 14 teaspoon of rennet. She only has 12 gallon of milk. Which statement(s) describe the step(s) Dorit can take to determine how much rennet, in teaspoons, she will need to make cheese?
Answer:
to do this you need to Multiply 14 by 6 to satisfy the fact she has 6 times the amount of milk for 14 teaspoons of rennet
4-0,9+(-0,11)-(-1,3) PLEASE HELP
Answer:
-20
Step-by-step explanation:
PEMDAS
PLEASE HELP! 20 POINTS
What is the x-intercept of the line with this equation -2x+1/2y=18?
Enter your answer in the box
( ,0)
Answer:
x - intercept = - 9
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
- 2x + [tex]\frac{1}{2}[/tex] (0) = 18
- 2x + 0 = 18
- 2x = 18 ( divide both sides by - 2 )
x = - 9 or (- 9, 0 ) in coordinate form
what is the prime factorization of 252
1. 2^2x7x9
2. 2x7x27
3.2^2×3^2×7
4.2^3×3×7
Answer:
Prime factorization: 2x2x3x3x7
Exponential form: = 2^2 x 3^2 x 7
Step-by-step explanation:
What can i multiply 2/3 by to make a product of 1? Explain how you know.
Answer:
[tex]\mathsf{\frac{3}{2}}[/tex]
Step-by-step explanation:
In order to get a product of 1, you must multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] with another fraction that will result in the same value for the numerator and the denominator, which is its reciprocal.
In other words, [tex]\mathsf{\frac{2}{3} \:\times\frac{3}{2}\:=\:\frac{6}{6}\:=\:1}[/tex].
Therefore, you could multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] by [tex]\mathsf{\frac{3}{2}}[/tex] to make a product of 1.
Is this a function?
Answer:
Yes
Step-by-step explanation:
Yes, the graph represents a function because it passes the vertical line test: Any vertical line drawn through this graph intersects this graph only once.
____x0.01 = 180.4932
what's the answer?
7. Ashok gets an increase of 4% in his weekly salary. In addition to that, he gets ? 75 per week. If his present salary is 2,500 per week, what will be his new salary next week?
a. 2600
b. 2675
c. 2700
d. 2765
B.
I think B will make more B make more sense because you say he gets 75 a week.
Simplify this expression 3(2h + 5)
x^3 - 3x^2 + 4x - 12
Answer:
(x^2 + 4)(x - 3).
Step-by-step explanation:
I'm guessing you want to factor this.
You can do it by grouping:
x^3 - 3x^2 + 4x - 12
= x^2(x - 3) + 4(x - 3)
= (x^2 + 4)(x - 3).
If the output number y is -52 (y=5x-2) what is the input number? SHOW WORK
Answer:
the input number is -10
Step-by-step explanation:
output is always y
input is always x
so instead of y, put -52
-52=5x-2 add 2 to each side to ger 5x by itself
-50=5x divide both sides by 5 to get x by itself
-10=x
x is the input so the input is -10
Choose the angles that are adjacent to <3
Answer:
<2 & <4
Step-by-step explanation:
yeah-ya........ right?
Work out the equation of
the line that goes through
(3, 2) and (-1, 10)
Answer:
[tex]The\,\,equation\,\,will\,\,be\,\,2x+y=8[/tex]
Step-by-step explanation:
Let, A=(3,2)
B=(-1,10)
So, The equation will be
[tex]\frac{x-x_{1} }{x_{1} -x_{2} } =\frac{y-y_{1} }{y_{1} -y_{2} } \\=>\frac{x-3 }{3-(-1) } =\frac{y-2 }{2-10} \\=>\frac{x-3 }{4} =\frac{y-2 }{-8}\\=>-8x+24=4y-8\\=>8x+4y=32\\=>2x+y=8[/tex]
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
Answer:
y = - 2x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 1, 10 )
m = [tex]\frac{10-2}{-1-3}[/tex] = [tex]\frac{8}{-4}[/tex] = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 2 )
2 = - 6 + c ⇒ c = 2 + 6 = 8
y = - 2x + 8 ← equation of line
Pls can someone pls help me
Please show your work
Answer:
x = 8
I dunno what the question is in the first place, but I assume you are solving for x.
Step-by-step explanation:
The two given angles are equivalent because they are parallel and they have a line that intersects.
The line creates two angles on each side of each line, which is 120 or 60 because there are 180 degs on a straight line.
The obtuse side is 120, and the -8 + 16x is also on an obtuse angle, showing that they are equal.
120 = -8 + 16x
128 = 16x
8 = x
x = 8
a toy car costing 500.00 is reduced by 10% in the sale how much does it cost now?
After the 10% reduction in the price of the toy car, the car costs 450.
In order to determine the cost of the toy car after the price was reduced by 10%, the first step is to determine what 10% of $500 is.
10% x 500
0.1 x 500 = 50.
The second step is to subtract the value of the 10% price reduction from the original cost of the toy car.
500 - 50 = 450
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Mai skated x miles, and Clare skated farther than that. Write an expression for the distance Clare skated. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).
Whats the answer?
Answer:
X over y or x/y since y is claire and she skated more
Step-by-step explanation:
Pls brainliest
Determine the domain of each graph:
Answer:
The 1st
Domain is (1,-3)
The second
Domain is (R)
The 3rd
Domain = (R)
The 4th
Domain =(-1,+infinity )
Respectively
The arithmetic sequence 2, 4, 6, 8, 10,. . . Represents the set of even natural numbers. What is the 100th even natural number? a100 = What is the sum of the first 100 even natural numbers? S100 = Complete the sentence below with less than, greater than, or equal to. The sum of the first 100 even natural numbers is the sum of the first 101 odd natural numbers.
The 100th even natural number is 200
Given the sequence 2, 4, 6, 8, 10....
The nth term of the sequence is expressed as:
Tn = a + (n - 1)d
a is the first term = 2
d is the common difference = 4 - 2 = 6 - 4 = 2
n is the number of terms
Substitute the given parameters into the formula
Tn = 2(n-1)2
Tn = 2+(2n - 2)
Tn = 2n
Get the 100th term
T10= 2(100) = 200
Hence the 100th even natural number is 200
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Answer:
1)
200
2)
10100
3)
less than
Step-by-step explanation:
on god
PLEASE HELP! ;-;
A particle rotates in a clockwise motion according to the equation x=3cos(0.2t+0.813) what is its frequency?
Answer= [ ? ] hertz
The particle has a frequency of 0.032 hertz.
The particle experiments a sinusoidal motion, whose mathematical model is described below:
[tex]x = x_{o} + A\cdot \cos (\omega\cdot t + \phi)[/tex] (1)
Where:
[tex]x[/tex] - Current position, in meters.[tex]x_{o}[/tex] - Initial position, in meters. [tex]\omega[/tex] - Angular frequency, in radians per second. [tex]t[/tex] - Time, in seconds.[tex]\phi[/tex] - Angle phase, in radians.The frequency ([tex]f[/tex]), in hertz is defined by this formula:
[tex]f = \frac{\omega}{2\pi}[/tex] (2)
By direct observation on the formula described in statement we find that [tex]\omega = 0.2\,\frac{rad}{s}[/tex], then we find the frequency of the particle by (2):
[tex]f \approx 0.032\,hz[/tex]
The particle has a frequency of 0.032 hertz.
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Read the scenario. 1. The temperature at 6 A.M. was -5°F. By noon the temperature had risen by 5°F. What was the temperature at noon? Represent these values with integers and model them on a number line. + + + 0 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Read the scenario. 2. A diver was 8 feet below sea level. The diver swam back up 8 feet. What is the location of the diver? Represent these values with integers and model them using integer tiles.
Answer:
mm
Step-by-step explanation:
Jordan and Ben exercise at the same gym. The table below shows the number of calories they burned in each of their last 5 workouts.
How many calories would ben need to burn in his next workout to have the same average as Jordan?
Answer: The answer is 55 more calories than jordan in the next session
Step-by-step explanation: So sorry, I am bad at explaining :(
Answer:
760 calories
Step-by-step explanation:
Jordan's average is ...
(850 +674 +729 +658 +614)/5 = 705
Then the total number of calories Ben needs to burn in 6 sessions is ...
705×6 = 4230
So far, Ben has burned ...
716 +635 +802 +687 +630 = 3470 . . . calories
So, in his next session, Ben must burn ...
4230 -3470 = 760 . . . calories
To have the same average after 6 sessions that Jordan now has after 5 sessions, Ben must burn 760 calories in his 6th session.
Follow the steps to finish solving the equation -3x +18 = 7x
1. Add 3x to both sides to isolate the variable term.
2. Divide both sides by 10.
x=
Answer:
x = 9/5 or 1.8
Step-by-step explanation:
Answer: Or 9/5 Have a great day :)
Step-by-step explanation:
-3x+18= 7x
18+= 10x
x= 18/10
x= 9/5
A tank pumps out liquid at a rate of 12 gallons every 20 days. What is the unit rate in gallons per week?
Answer:
4.2
Step-by-step explanation:
simplify 12 and 20 to 6 and 10 then divide 6 by 10 and multiply by 7 to get the answer.
The unit rate or rate of change of gallons per week will be 4.2 gallons/week.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
12 gallons in every 20 days,
The unit rate per day will be as,
12/20 = 0.6 gallons per day
It is known that, 1 week = 7 days,
Unit rate per week = 0.6 x 7 = 4.2 gallons/week
Hence "The unit rate, often known as the rate of change, will be 4.2 gallons per week".
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Lin is baking cakes. Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes. How many cakes does Lin bake?
Answer:
12
Step-by-step explanation:
412 ÷ 34 = 12.1176...
Round down to 12 cakes
If Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes then Lin can bae 12 cakes.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that Lin is baking cakes. Each cake needs 34 cup of brown suga
Lin uses 412 cups of brown sugar for the entire batch of cakes
We need to find the number of cakes Lin bake with 412 cups of brown sugar.
To find this we have to divide 412 by 34 cup.
412/34
Four hundred twelve by thirty four
12.111
Hence, if Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes then Lin can bae 12 cakes.
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given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
PLEASE HELP
Answer:
k=5
Step-by-step explanation:
The graph of g(x) is raised by 5 units so k is 5
12 + (-4) - 2/5j - 4/5j + 5
Answer:
-6j+65/5
Step-by-step explanation:
PLEASE GIVE ME THE BRAINLIEST ANSWER
Which number represents
27,860,000 using scientific notation ?
Answer:
B. 2.786 x 10 ^ 7
Step-by-step explanation:
For scientific notation you have 1 number to the left of the decimal point and 10 gets raised to the power of the number of decimal places it takes to get that one number.
