An object's dimensions are: length of 25cm, wight of 10cm, and height of 15cm. calculate the object's density if its mass is 3000g
Density = Mass / Volume
The volume is length * width * height, which equals 25 * 10 * 15, making it 3750 cm^3.
Mass / Volume = 3000 g / 3750 cm^3 = 0.8 g/cm^3
Answer:
Density = Mass / Volume
The volume is length * width * height, which equals 25 * 10 * 15, making it 3750 cm^3.
Mass / Volume = 3000 g / 3750 cm^3 = 0.8 g/cm^3
Step-by-step explanation:
Is there a vertical shift? What is it?
2(x+2) – 5
I NEED HELP ASAP!!
Answer:
Yes, there s a vertical shift to the right by 1
Step-by-step explanation:
If you distribute the 2 among the (x+2) you get:
2x+4-5
Combine like terms:
2x+1
There fore the line shifts right by one.
Answer:
Yes, the equation shifts down by five.
Step-by-step explanation:
In equations, vertical shifts happen when the ENTIRE equation, or y, is added or subtracted a number.
Horizontal shifts happen when JUST the x value is added or subtracted a number, but this is a little different.
The formula for the equation you gave us is
m(x - h) + k
Since "h" is already negative, we have to flip the sign of the +2, so the horizontal shift would be LEFT two units.
As far as the vertical shift goes, we just have to look at the "+k."
Since k = -5, the equation shifts down five units.
H(r) = (r+1)(r+8) what are the zeros of the function
Answer:
all work is pictured and shown
What is the answer to this?
Answer:
B.
Step-by-step explanation:
Answer:
B is the correct answer
Step-by-step explanation:
i need help please
Answer:2nd one
Step-by-step explanation:
Answer:
1/2 and 1/3
Step-by-step explanation:
1/2 can have a denominator of 6 by multiplying by 3
[tex]\frac{1}{2} *\frac{3}{3} =\frac{3}{6}[/tex]
1/3 can have a denominator of 6 by multiplying by 2
[tex]\frac{1}{3} *\frac{2}{2} =\frac{2}{6}[/tex]
I have two bags of counters.
The first bag contains two red counters and one blue counter.
The second bag contains one red counter, one blue counter and two yellow counters.
I take a counter at random from both bags.
A). What is the probability that the two counters will be the same colour?
b). What is the probability that exactly one of the counters will be red?
Answer:
a. 4/21
b. 4/7
Step-by-step explanation:
Please kindly check the attached files for explanation.
Answer:
A) 3/12
B)7/12
Step-by-step explanation:
I used a tree diagram to go through this with my daughter, bear in mind the second question asks for the probability of exactly one red counter to be taken from the bag.
The system of equations has no solution:
y=2/3x-5
4x - 6y = 30
true or false?
1. y = 2/3x - 5
2. 4x - 6y = 30
Divide 2. by 2
3. 2x - 3y = 15
Substitute 1. into 3.
4. 2x - 3(2/3x - 5) = 15
5. 2x - 2x + 15 = 15
6. 15 = 15
False. There are an infinite number of solutions.
Every month, $25 is withdrawn from Calvin’s account to pay for his gym membership. He has enough savings to withdraw no more than $225. For how many months can Calvin pay for his membership?
Answer:
9 months.
Step-by-step explanation:
225 / 25 = 9
Feel free to let me know if you need more help! :)
Answer:
9
Step-by-step explanation:
225/25 is 9
11. How is the graph of g(x) = 5x² - 2
related to the graph of f(x)= x2?
The graph of both functions are positive, thus the graph is increasing in the upward direction.
The graph of a quadratic equation.
The graph of a quadratic equation is a parabolic curve or a U-shaped curve. From the given function, the parent function is f(x) = x² and the g(x) is the transformed function of the original function.
The function of g(x) = 5x² - 2 is vertically stretch by 5 units and it is shifted vertically downward by 2 units.
Thus, we can say that the graph of g(x) = 5x² - 2 is related to f(x) = x² because of the vertical stretch and the vertical shift. Also, since both functions are positive, the graph is increasing in the upward direction.
a school admissions office accepts 3 out of every 5 applicants. given that the school accepted 750 students how many students applied?
Answer:
1250 Students applied.
Step-by-step explanation:
If you set it up as a proportion and then cross multiply, it comes out to 3x=3750 so then you would simplify and get x = 1250 as your answer!
Hope this helps!
Tomos is a skier he completed a ski race in 2 min 6 seconds the race was 525 m in length. tomos assumes that his average speed is the same for each race. using this assumption, work out how long tomos should take to complete an 800 m race give your answer in minutes and seconds
Answer:
3 min 12 seconds
Step-by-step explanation:
Using the conversion
1 minute = 60 seconds, then
2 min 6 seconds = (2 × 60) + 6 = 120 + 6 = 126 seconds
Divide 126 by 525 then multiply by 800, that is
time = [tex]\frac{126}{525}[/tex] × 800 = 192 seconds = 3 min 12 seconds
Final answer:
After calculating Tomos's average speed from the 525 m ski race, we use that speed to determine that it should take him approximately 3 minutes and 12 seconds to complete an 800 m race.
Explanation:
To determine how long Tomos should take to complete an 800 m race given his average speed, we start by calculating his speed during the 525 m race. Tomos completed the 525 m ski race in 2 minutes and 6 seconds, which is a total of 126 seconds.
Firstly, we calculate Tomos's average speed:
Average speed (v) = Total distance (d) / Total time (t)
v = 525 m / 126 s
v = 4.1667 m/s (approximately)
Now, to find out how long it will take Tomos to ski 800 m at the same speed, we use the formula:
Time (t) = Distance (d) / Speed (v)
t = 800 m / 4.1667 m/s
t = 192 seconds (approximately)
Finally, we convert the time from seconds to minutes and seconds:
There are 60 seconds in a minute, so:
Time = 192 s = 3 minutes and 12 seconds
Therefore, it should take Tomos approximately 3 minutes and 12 seconds to complete an 800 m race at his average speed.
HELP PLEASE DON'T UNDERSTAND
Steve uses 14 blue beads and 6 green beads to make a bracelet.
Which ratio compares the number of blue beads to the total number of beads in one bracelet?
14:6
6:14
6:20
14:20
Answer:
14:20 :)
Step-by-step explanation:
Explain how you determine each of the two expressions of the equation when the mathematical statement is given in words.
Answer:
The two expressions of an equation are separated by an equal sign. When the statement is given in words, the equal sign is indicated by the word “is” or the words “the same as.”
Step-by-step explanation:
Two expressions of the equation by properly interpreting the words into appropriate signs and digits.
what is two expressions of the equation?An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement. To achieve our goal, we use two principles of equality, the addition principle and the multiplication principle.
What is an expression with 2 terms?A binomial expression is an algebraic expression which is having two terms, which are unlike. Examples of binomial include 5xy + 8, xyz + x3, etc.
What is an expression in algebra example?Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression.
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Graph a line that contains the point (-5,-3) and has a slope of -2
Answer:
-->
Step-by-step explanation:
Graph (-5,-3) and use the slope, -2, to find another point. -2 can also be written as [tex]-\frac{2}{1}[/tex]
[tex]\frac{rise}{run} =\frac{-2}{1}[/tex] and [tex]\frac{rise}{run} =\frac{2}{-1}[/tex] **
Use both. This works because either way, they will lie on the same line with the same slope. So, starting at (-5,-3), go down two points (-)* and to the left 1 (+)*, then, starting at (-5,-3) again, go up two points (+)* then to the right 1 point (-)*.
* If the number is negative, you either go down or to the right. If the number is positive, you go up and to the left.
**Rise over run refers to the change in the y-axis and the change in the x-axis: [tex]\frac{rise}{run} =\frac{y-axis}{x-axis}[/tex]. Only one number is negative because, if both were negative, that would make a positive number, but the slope is -2, not 2.
Another way you could do this is by finding points first. All you need to do is turn the slope into a "point". Remember, 2 is the y and 1 is the x:
[tex]-2=-\frac{2}{1} = (1,-2)[/tex] and [tex](-1,2)[/tex]
Then, using (-5,-3) and your new points, add them separately:
[tex](-5,-3)+(1,-2)\\(-5+1,-3+(-2))\\(-5+1,-3-2)\\(-4,-5)[/tex]
(-4,-5) is one point
[tex](-5,-3)+(-1,2)\\(-5+(-1),-3+2)\\(-5-1,-3+2)\\(-6,-1)[/tex]
(-6,-1) is another point. Connect the three points. You can check your work on the graph:
The box plot suggests that Olga served fewer than what number of aces during about 75% of tennis matches
Answer:
d) 10
Step-by-step explanation:
Answer:
The answer is 10
Step-by-step explanation:
30% of $40 is how much money
Answer:
$12
Step-by-step explanation:
30% is 0.3
So 0.3 × 40 = 12
Jake earns $7.50 per hour working at a local car wash. The function,
ƒ
ƒ
(
x
)
=
7.50
x
, relates the amount Jake earns to the number of hours he works. Write the inverse of this relation
Answer:
f(x) = y
y = 7.50x
To find the inverse, swap x and y
x = 7.50y
Now solve for y
y = x/7.50
f-1(x) = x/7.50
The supply and demand functions for q hundred boxes of napkins at a price p dollars per box are given by:
Supply:p−√q=1 Demand:q+p=7
Find the equilibrium price and quantity.
[tex]p - \sqrt{q} = 1 \\ q + p = 7[/tex]
[tex]p = 7 - q[/tex]
[tex]7 - q - \sqrt{q} = 1 \\ - q - \sqrt{q } = - 6 \\ q + \sqrt{q } = 6 \\ q = 4[/tex]
[tex]p = 7 - 4 = 3[/tex]
Write thirty-four hundredths as a decimal
Answer: 0.34
Step-by-step explanation:
0
2
2
6
6
7
8
9
10
TIME REN
36:
A baseball player had 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28 games?
Answer:
14 hits in 28 games
Step-by-step explanation:
every 2 games there is 1 hit
FIRST CORRECT ANSWER WILL MAKE BRAINIEST!!!!!!!!!
Use Vieta's Theorem to solve the problems. The difference of the two solutions of x2+19x+c=0 is 15. Find c.
The value of c from the given equation is 34.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given equation is x²+19x+c=0
Vieta's Theorem is If f(x) = ax² + bx + c is a quadratic equation with roots α and β then,
Sum of roots = α + β = -b/a
(x + a) (x + b) = x² + (a + b) x + ab
a + b = 19
a - b = 15
a = 17
b = 2
c = ab = 34
Therefore, the value of c from the given equation is 34.
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Using Vieta's Theorem, the difference of the roots was used to set up two equations. Solving them simultaneously gave us the individual roots, which were then multiplied to find the required product, c, which is 34.
Explanation:To solve for c in the quadratic equation x^2 + 19x + c = 0 using Vieta's Theorem, we need to find the two roots of the equation and their relationship to the coefficients.
According to Vieta's formulas, for a quadratic equation of the form ax^2 + bx + c = 0, the sum of the roots -b/a and the product of the roots c/a. Since the coefficient a is 1 in our equation (x^2 + 19x + c = 0), the sum of the roots is -19, and the product is c.
We are told the difference of the two roots is 15. Let's denote the larger root as r1 and the smaller one as r2. Thus, r1 - r2 = 15. But we also know that r1 + r2 = -19 (the negative coefficient of x).
We can now set up two equations:
r1 + r2 = -19r1 - r2 = 15By solving these two equations simultaneously, we add them together to eliminate r2:
2r1 = -4
r1 = -2
Substitute r1 back into one of the original equations to find r2:
r1 + r2 = -19
-2 + r2 = -19
r2 = -17
Now, we use the product of the roots to find c:
c = r1 * r2
c = -2 * -17
c = 34
Therefore, the value of c in the quadratic equation is 34.
The diameter of a circle is 28 inches what is the circle's area?
use 3.14 for pi
Answer:
615.75216....
Step-by-step explanation:
The formula is A = π * (ø/ 2)^2
A = Circle area
π = Pi = 3.14
ø = Circle diameter
A= 3.14 (28/2)^2
Answer:
Area = 615.44 inches
Step-by-step explanation:
Diameter = 2 * radius
28 = 2 * radius
Divide both sides of the equation by 2
14 = radius
Find area
A = π r²
A = 3.14 (14)²
A = 3.14 (196)
A = 615.44
Hope this helps :)
How do i solve this? - Linear Functions
Answer:
solve for y
Step-by-step explanation:
[tex]5x-2y=-10[/tex]
subtract 5x from both sides
[tex]5x-5x-2y=-10-5x[/tex]
[tex]-2y=-10-5x[/tex]
Divide each term in the equation by -2
[tex]\frac{-2y}{-2}=\frac{-10}{-2} -\frac{-5x}{-2}\\\\y=\frac{-10}{-2} +\frac{-5x}{-2} \\\\y=5+\frac{5x}{2}[/tex]
(negative+negative=positive)
re-write in slope-intercept form [tex]y=mx+b[/tex] , where m is the slope and b is the y-intercept
[tex]y=\frac{5}{2}x+5[/tex]
Now you know that the slope is [tex]\frac{5}{2}x[/tex] and the y-intercept is [tex]5[/tex].
Now, to graph, you just need to choose random values for x (like 0,1,2,3 or any other number) and insert into the equation [tex]y=\frac{5}{2}x+5[/tex] to find the points, or you can just use the slope. To find the x-intercept, do the following:
make y equal to 0
[tex]0=\frac{5}{2}x+5[/tex]
Solve for x:
simplify [tex]\frac{5}{2}x[/tex]
[tex]0=\frac{5x}{2} +5[/tex]
Subtract 5 from both sides
[tex]0-5=\frac{5x}{2}+5-5\\ \\-5=\frac{5x}{2}[/tex]
Multiply both sides by 2
[tex]2(-5)=2(\frac{5x}{2})\\\\-10=5x[/tex]
Divide both sides by 5
[tex]\frac{-10}{5}= \frac{5x}{5}\\\\-2=x[/tex]
Flip
[tex]x=-2[/tex]
The x-intercept is -2.
What is the missing constant term in the perfect square that starts with x^2+2x
To find the missing constant term, we want to think about what two numbers would add up to 2. Of the numbers we've thought of, we want to find the numbers that are the same. In this case, that would be 1 and 1. If we multiply, or square, 1 and 1 together, we get 1. So, the missing constant term in the perfect square given here would be 1.
Hope this helps!! :)
What is 60 over 40 in a mixed fraction
Answer:
1 1/2
Step-by-step explanation:
60/40 = (60 ÷ 20)/(40 ÷ 20) = 3/2; 3 > 2 => improper fraction Rewrite: 3 ÷ 2 = 1 and remainder = 1 => 3/2 = (1 × 2 + 1)/2 = 1 + 1/2 = = 1 1/2, mixed number (mixed fraction)
Hope this helped!
Answer:
1 1/2
Step-by-step explanation:
40 can go into 60 1 time
simplify the rest
a population of bacteria is growing at a rate of 20 per hour. if the population starts at 320, what is it an hour later?
a ) 360
b ) 350
c ) 372
d ) 384
Answer:
B.350
Step-by-step explanation:
let's hope it helps
The diameter of a circle is 58 feet. What is the circle's circumference?
Use 3.14 for .
Answer:
182.12
Step-by-step explanation:
2πr , then substitute the numbers
Answer:
182.12ft
Step-by-step explanation:
Just remember to divide the diameter by two to get the radius.
58/2 = 29
C=2 π r
C = 2 * 3.14 * 29= 182.12ft
Mary takes 9 grapes from rohin and then decides to give 4 back draw a model for the subtraction problem using integer chips
To draw an integer chips model for the subtraction problem, first draw nine positive chips to represent the grapes Mary took, then draw four negative chips for the grapes she gave back. Subtract the negative from the positive chips to get the final answer.
Explanation:In this integer subtraction problem, you would first draw 9 positive chips, symbolizing the 9 grapes Mary initially received from Rohin. Positive chips can be represented by circles or squares. You could use different colors, such as blue for positive (or grapes Mary has).
Next, to represent the 4 grapes that Mary returned to Rohin, you would draw 4 negative chips. Negative chips (or the grapes Mary gave back) could be represented by a different color, such as red.
Subtracting 4 from 9, we then remove 4 positive chips from the model, leaving five positive chips, representing the 5 grapes Mary has left after she returned 4 to Rohin.
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What happens when demand exceeds supply?
A.
prices decrease
B.
prices increase
C.
prices remain stable
Answer:
B. Prices increase.
Step-by-step explanation:
When demand for a product is greater than the product's supply, that increases the value of said product, and thus they bring the price up.
When demand exceeds supply, it's referred to as a shortage or excess demand, and generally leads to an increase in prices. Sellers are able to charge more because more consumers are vying for a limited number of goods.
Explanation:When demand exceeds supply in economic terms, it leads to a situation called excess demand or shortage. In this scenario, more people want a product than the amount of the product available. As a result of this excess demand, prices generally increase. This increase happens due to the basic law of demand and supply. Since more consumers are chasing a limited number of goods, sellers can charge higher prices. This increase in prices can help reduce the demand and bring the market back into equilibrium.
For instance, consider a situation where new smartphones are released, and the demand outstrips the supply. The prices will likely increase because people are willing to pay a higher price to secure one of the limited handsets.
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