Answer:
60 g
Step-by-step explanation:
Use the density formula, D = m/v, where m is the mass and v is volume
Plug in the volume and density, then solve for the mass:
D = m/v
3 = m/20
60 = m
So, the mass is 60 g
Volume of object = 20 mL
Density of object = 3 g/mL
To Find :We have to find mass of the object[tex].[/tex]
Solution :★ Density is defined as the mass of object per unit volume.
It is a scar quantity having only magnitude.
Mathematically, ρ = M/V
ρ denotes densityM denotes massV denotes volumeBy substituting the values, we get
⭆ 3 = M/20
⭆ M = 3 × 20
⭆ M = 60 g
∴ Mass of the object is 60g.
Hope It Helps!do you agree that the equation (x-4)²=9 can be solved both by factoring and extracting square roots?
Given parameters:
Equation:
(x-4)²=9
Problem, solve the equation by factoring and extracting the root
Solution:
Given equation:
(x-4)²=9
subtract 9 from both sides to equate to zero;
(x-4)² - 9 = 0
(x -4)² - 3² = 0
Now, this is similar to the concept of difference of two squares;
x² - y² = (x + y)(x-y)
Here x = x-4 and y = -3
So input and solve;
(x - 4 -3)(x - 4 -(-3)) = 0
(x - 7)(x - 4+3) = 0
(x -7)(x -1) = 0
S0,
x - 7 = 0 or x-1 = 0
x = 7 or 1
If we extract the square roots;
(x-4)² = 9
√(x-4)² = √9
x - 4 = 3
x = 4 + 3 = 7; this is not the only solution to the problem
So we cannot solve it by extracting the square root.
The solutions by checking are incorrect for the second solution, hence the expression cannot be solved by extracting the square root. The equation can only be solved by factoring
Given the expression;
(x-4)²=9
This expression can be solved by factoring
Factoring the expression on the left hand side
(x-4)(x-4)=9
x²-4x-4x+16 = 9
x² - 8x + 16 - 9 = 0
x² - 8x + 7 = 0
x² -x - 7x + 7 = 0
x(x-1) -7(x-1) = 0
x-7 = 0 and x - 1 = 0
x = 7 and 1
This shows that the expression can be solved by factoring
The other way is by squaring both sides
(√x-4)² = ±√9
x - 4 =±√9
x = -9+4 and x = 9 + 4
x = -5 and 13
Since the solutions by checking are incorrect for the second solution, hence the expression cannot be solved by extracting the square root
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3. Which ordered pair is a solution of the equation y = x – 2? (1 point) (3, 1) (1, 3) (–1, 3) (3, –1)
What is the slope of pv? A:1 B:2 C:-2 D:-4
Answer:
D
Step-by-step explanation:
This is how I was taught to answer these questions
Get the coordinates of P and V. You should get 4=2m+b and 0=3m+b
Subtract these to get 4=-1m
Divide -1 from both sides to get -4
Let me know if you have any questions. I didn't go into to much detail because I wasn't sure if you just only wanted the answer.
Happy almost Halloween!
Is the function even, odd, or neither?
Answer:
A function with a graph that is symmetric about the origin is called an odd function. Note: A function can be neither even nor odd if it does not exhibit either symmetry. For example, f(x)=2x f ( x ) = 2 x is neither even nor odd
Step-by-step explanation:
-8= 3-5(x+6) solving algebraicaily
Let's solve your equation step by step
-8=3-5(x+6)
Step 1: simplify both sides of the equation
-8=3-5(x+6)
-8=3+(-5)(x)+(-5(6) (distribute)
-8=3+-5x+-30
-8=(-5x)+(3+-30) (combine like terms)
-8=-5x+-27
-8=-5x-27
Step 2: flip the equation
-5x-27=-8
Step 3: add 27 to both sides
-5x-27+27=-8+27
-5x=19
Step 4: Divide both sides by -5
-5x/-5 = 19/-5
Answer : x= -19/5
Answer:
x = -19/5
Step-by-step explanation:
-8 = 3-5(x+6)
Distribute.
-8 = 3-5x-30
Combine like terms.
-8 = -27-5x
Add 27 on both sides.
-8 = -27-5x
+27 +27
19 = -5x
Divide by -5 on both sides.
19 = -5x
/-5 /-5
-19/5 = x
Hope this helps you a little bit! Sorry if it get confusing...have an amazing day c:
3 movie tickets cost $36.At this rate what is the cost per ticket $
Answer:12
Step-by-step explanation:
Answer:
The cost per ticket is $12
Step-by-step explanation:
In order to find the answer, you would need to divide $36 by 3 to find how much it costs per ticket.
Hope this helps:)
The difference between the areas of the figures is less than 4.
An absolute value inequality that represents this situation is ___
The solution of the inequality is ___
Thank you!!!!!!!!
Answer:
We know that:
If T = area of the triangle
and R = area of the rectangle:
I T - RI < 4.
Now, we know that:
T = 8*6/2 = 8*3 = 24
R = 4*(x - 4) = 4*x - 16
Then replacing those values, we can write:
I24 - (4*x - 16)I < 4
I40 - 4*xI < 4
Now let's solve it:
First we aim for the first value that is not a solutions, this is when:
I40 - 4*xI = 4
we can write this as:
40 - 4*x = +-4
The first extreme is:
40 - 4*x = +4
x = (40 - 4)/4 = 9
The other extreme is:
40 - 4*x = -4
x = (40 + 4)/4 = 11.
Then the set of solutions is: S = (9, 11)
What is 4x-8=9y-5 in standard form
which angles are corresponding angles?
Answer:
<3 and <11
Step-by-step explanation:
5(x -4) + 3x - 9x +7
Answer:
-x - 13
Step-by-step explanation:
Answer:
-x - 13
Hope this helps! :)
Picture attached below. Please help.
There isnt a picturee but when you add another question I will hep you the best I can :)
write an equation of the line that passes through the points (1,3) and (3,-5)
Explain how to simplify a ratio. Be sure to include an example to support your response
A ratio is an expression used to compare two quantities. A simplified ratio can be taken as is, but if a ratio has not yet been simplified, you should do so to make the quantities easier to compare and understand. In order to simplify a ratio, you divide both terms (both sides of the ratio) by the same number.
what is the inverse function of y=x^2+4
Answer:
does not exist
Step-by-step explanation:
The inverse relation is found by swapping x and y, then solving for y.
x = y^2 +4
x -4 = y^2
y = ±√(x -4)
This is the inverse relation. Since it is double-valued, it is not a function.
__
The function given does not pass the horizontal line test, so there is no inverse function.
37,422 rounded to the nearest thousand
Answer:
37,000
Step-by-step explanation:
rounds to 37,000
explain how the percent equation relates proportional quantities
Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.
The proportion is a general case of percentage. (Refer to the examples explained below).
What is the percent equation?Proportion is a general case of percentage. It describes how much of the total a particular sample is. For example, if a pie contains eight slices and you have five, the proportion is 5/8. You have a total of five out of eight. A percent (the number of parts out of 100) is a special case of proportion where the denominator (“whole”) equals 100 parts. I suspect that percentages were created to allow a normalized comparison of proportions when the total number of parts was not the same. Imagine a small pizza with 6 slices and a large pizza with 8 slices. If Tom got 4 from the first and Ram got 5 from the second, it is not immediately clear who got more from the second. Converting 4/6 and 5/8 to percentages (66.7 and 62.5) allows you to see when the denominator equals who got relatively "more".Furthermore, I suspect that 100 was used because we live in a 10-base world (we have 10 fingers, which makes it natural).Therefore, the proportion is a general case of percentage.
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Solve for n. 8^ 12÷8^3=8^n
Answer:
9[tex]\frac{8^{12}}{8^3}=8^n\quad :\quad n=9[/tex]
Step-by-step explanation:
Write an equation for the description.
Tanmayi wants to raise $150 for a school fundraiser. She has raised $100 so far. How much more (bes she
need to reach her goal? Let m be how much more is needed.
Answer:
answer
Step-by-step explanation:
step by step explanation
hoy tama na yan meron pang bukas, tulog na
get a goodnight sleep okay? labyuuuu
Answer:
okay cge good night pa points lang thank you
Which is bigger 0.78 or 0.708
Answer:
0.78
Step-by-step explanation:
Answer:
0.78
Step-by-step explanation:
because...
0.78 = 0.780
so,
0.780 > 0.708
have a nice day! <3
Please solve for x and is it complementary or supplementary
Tell whether this figure creates the conditions to form a unique triangle, more than one triangle, or no triangle.
**Note: The arrows show that the lines will keep going until they meet.
GIVING BRAINLIEST
Answer:
They will make 1 triangle the lines will keep going until they meet
From the given triangle only one triangle can be made.
What is geometry?Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.
One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
Given that the unformed triangle is given in the image.
The triangle can be made by extending the hypotenuse and the perpendicular line to intersect each other at the point. Only one triangle can be formed by doing so.
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simplify this expression; -15k-1+12+2k
Answer: -13k+11
Step-by-step explanation:
Combine like terms
-15k+2k=-13k
-1+12=11
Which of the following is a rational number?
A
136
B.
-V12
lo
D
TT
4+|7−m|=5
Solve for M
m = 16 or m = -2
m = 6 or m = -8
m = 6 or m = 8
m = 2 or m = 16
444444454444444444444545555
what is the slope if my two points are 3,1 and 3,4?
WILL GIVE BRAINLIEST!!! Write the equation represented by the table.
Answer: y = 2x+12
Step-by-step explanation:
y = mx + b
the Ys are going down by 6 each time
the Xs are going adding up by 3 each time
radio: 6/3 = 2
that's our slope
--------------------------------
when x is 0 then the y will be our b
which is 12
all together
y = 2x+12
Calculate perimeter.
Answer:
152
Step-by-step explanation:
How many times does the quadratic function below intersect the x-axis?
y = x+3x+15
Find the common ratio of the geometric sequence –13, 117, -1053, ...
Answer: -19
Step-by-step explanation:
Use the geometric ratio r=a2/a1
So 117/-13 = -9
-13*-9= 117
117*-9= -1053