Answer:
The depth is 12.7 cmStep-by-step explanation:
Let the shape of the vase be a cylindrical shape
the volume of the cylinder is given as
let the depth be h
[tex]v= \pi r^2h[/tex]
Given
radius r= 5 cm
volume v= 1000 cm
height h= ?
Substituting the values we can find the depth(h)
[tex]1000= 3.142*5^2*h\\1000= 3.142*25*h\\\\1000= 78.55*h\\[/tex]
Dividing both sides by 78.55 we have
[tex]h= \frac{1000}{78.55} \\\h= 12.73[/tex]
to 1 dp h= 12.7 cm
3 7 of students at a school are boys. If there are 2282 students at the school, how many are girls? plz help me
Answer:
2245
Step-by-step explanation:
2282-37=2245
2245 students are girls
Answer:
1304
Step-by-step explanation:
3/7 of students are boys
total students= 2282
girls are 1-3/7= 4/7 of all students
girls= 2282*4/7= 1304
Gabriella drives her car 300 miles and averages a certain speed. If the average speed had been 9mph less, she could have traveled only 240 miles in the same length of time. What is her average speed?
Answer:
Her average speed is 45 mph
Step-by-step explanation:
Let the average speed be x mph
Time taken complete the journey = distance/ average speed
Time = 300/x
Now , at 9 mph less, she could have only traveled 240 miles in same time
At 9 mph less, the average speed is x-9
so the time would be 240/x-9
since the time is same as before;
300/x = 240/x-9
Divide both sides by 60
5/x = 4/x-9
Cross multiply
5(x-9) = 4(x)
5x - 45 = 4x
5x -4x = 45
x = 45 mph
This figure is made up of a triangle and a semicircle. What is the area of this figure? Use 3.14 for pi. Round only your final answer to the nearest tenth. Enter your answer, as a decimal, in the box
Answer:
Area = 14.8 units²
Step-by-step explanation:
Base of Triangle = 2 units
Height of Triangle = 5 units
Radius of the semi circle = 2.5 units
Now,
Triangle:
Area of triangle = 1/2(base*height)
Area = 1/2(2*5)
Area = 1/2(10)
Area = 5 units²
Semi-Circle:
Area of semi-circle = 1/2(πr²)
Area = 1/2(3.14)(2.5)²
Area = 1/2(3.14)(6.25)
Area = 9.8 units²
Area of the figure:
Area = 5 + 9.8
Area = 14.8 units²
Marcus spent 10 hours doing his homework last week. This week he spent 11 hours doing homework. He says that he spent 110% more time doing homework this week. Is he correct?
Answer:
[ 11 - 10 ] / 10 x 100%
= 1 /10 x 100%
= 10%
Only 10% longer
The discriminant of the function is
Answer:
A. is 0
Step-by-step explanation:
When the discriminant is 0, there is one solution to the function, meaning the parabola intersects the x-axis at only one point. Here, that point is (2, 0).
I hope this helps :))
Factorize the following :- 12y²_20y+3
Answer:
[tex]\left(6y-1\right)\left(2y-3\right)[/tex]
Step-by-step explanation:
[tex]12y^2-20y+3[/tex]
-20y can be written as -2y + -18y.
[tex]\left(12y^2-2y\right)+\left(-18y+3\right)[/tex]
Factor out 2y from the first expression and factor out 3 from the second expression.
[tex]2y\left(6y-1\right)-3\left(6y-1\right)[/tex]
Factor out the common term 6y-1.
[tex]\left(6y-1\right)\left(2y-3\right)[/tex]
HELP!!!!!! PLZZZ!!!!!HELPPPP
Answer:
x=10
Step-by-step explanation:
set it up and solve
2x-1=x+9
2x=x+10
x=10
What is the value of (4 minus 2) cubed minus 3 times 4? Negative 20 Negative 4 4 20
Answer:
-4
Step-by-step explanation:
(4-2)^3 - 3*4
PEMDAS
P arentheses
(2)^3 - 3*4
E xponents
8 -3*4
MD multiply and divide from left to right
8 - 12
AS add and subtract from left to right
-4
Answer:
-4
Step-by-step explanation:
When solving an expression, use PEMDAS!
4-2 = 2
2^3 (Cubed means to the 3rd) = 8
3 x 4
8-12 = -4
which system of equations has no sulotion?
Answer:
Here is the answer ...... Check out it
Step-by-step explanation:
An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.
Hope it helps ☺️ CLICK on ♥️
SIMPLIFY (2a^2)^3/4a^4 please help
Answer: 2a^2
Step-by-step explanation:
2^3 = 8
8 / 4 = 2
————————
(a^2)^3 = a^6
a^6 / a^4 = a^2
Train left a station at 835 am and arrives at its destination at 312 pm how long did the journey take
Answer:
5 hours and 50mins
Step-by-step explanation:
8:35 am + 25mins= 9:00am 9:00am+5hours=3:00pm+25mins=3:12pm 25mins+5hours+25mins=5hours and 50 mins
Hope this helps :)
if joe earns 90 buck a month and he need 700 how many months will he need to work
What is the percent of 3.16 to 3.70
Answer:
85.4054%
Step-by-step explanation:
3.16/3.7 × 100
Divide.
0.854054 × 100
Multiply.
= 85.4054
Suzy has 7 separate rings as shown in the figure on the left. She wants to make one open chain as shown in the figure on the right. What is the least number of rings Suzy needs to cut?
Answer:
every other one
Step-by-step explanation:
to put it specifically rings, 2, 4 and 6
Which situations can represent the expression n + 2?
Answer:
Many situations can do so.
Step-by-step explanation:
Imagine your father gave you $n (n dollars), your mother then gives you $2 dollars. How many dollars do you have now? n+2 dollars.
You have two assignments to complete for this term. Your Physics teacher decides to give you n assignments to do. How many assignments do you need to do to complete the term? n+2 assignments.
On Brainly, you have n points. You answered a Geography question which awarded you 2 points. How many points do you have now? n+2 points.
Hope it helps!
0.000000205
In standard form
Answer:
2.05 × 10⁷
Step-by-step explanation:
0.000000205
We'll move the decimal point after the first non-zero digit (as per the scientific notation rules) and the standard form would be :
=> 2.05 × 10⁷
Answer:
205 × [tex]10^{-9}[/tex]
Step-by-step explanation:
[tex]10^{-9} = 0.000000001[/tex]
0.000000001 × 205 = 0.000000205
Can I get the answer to this?
m<JKL=45°
Please see the attached picture for full solution
hope it helps..
Good luck on your assignment...
Answer:45°
Step-by-step explanation:
Jenny wants to buy a new dress for her first school dance. She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $__ .
Answer:
$9.30
Step-by-step explanation:
If you subtract 16.33 from the total of 25.63 you will have 9.3 or 9.30. (They're the same number.)
The end behaviour for the polynomial function h(x)=−x3+x4−2x+1 h ( x ) = - x 3 + x 4 - 2 x + 1 is: x→−[infinity], y→−[infinity] x → - [infinity] , y → - [infinity] and x→[infinity], y→[infinity] x → [infinity] , y → [infinity] x→−[infinity], y→[infinity] x → - [infinity] , y → [infinity] and x→[infinity], y→[infinity] x → [infinity] , y → [infinity] x→−[infinity], y→−[infinity] x → - [infinity] , y → - [infinity] and x→[infinity], y→−[infinity] x → [infinity] , y → - [infinity] Unable to tell.
Answer:
[tex]\text{As } x \to \infty, y \to \infty,$and as x \to -\infty, y \to \infty[/tex]
Step-by-step explanation:
Given the polynomial function: [tex]h(x)=-x^3+x^4-2x+1[/tex]
To examine its end behavior, we create a table of values that we can then examine.
[tex]\left|\begin{array}{c|c}x&h(x)\\--&--\\-4&329\\-3&115\\-2&29\\-1&5\\0&1\\1&-1\\2&5\\3&49\\4&185\end{array}\right|[/tex]
From the table, we see a repeating pattern of positive values of h(x) with h(1)=-1 being an axis of symmetry.
Therefore, as:
[tex]x \to \infty, h(x) \to \infty\\x \to -\infty, h(x) \to \infty[/tex]
Describe the transformations from the parent function, and define the function of the following graph.
Answer:
From the parent graph f(x) = x², the graph moved horizontally left by 3 units and vertically down by 5 units.
The equation of the new graph is f(x) = (x + 3)² - 5
Step-by-step explanation:
A person places $728 in an investment account earning an annual rate of 4.4%, compounded continuously. Using the formula V = Pe^rt where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 16 years.
Answer:
Step-by-step explanation:
For us,
P = 728,
r = .044,
e is Euler's number (a constant), and
t is 16. Filling in:
[tex]V=728e^{(.044)(16)}[/tex] and
[tex]V=728e^{(.704)}[/tex] and
V = 728(2.02182385) so
V = $1471.89
A person places $728 in an investment account earning an annual rate of 4.4%, compounded continuously. The value of the account in t years is $1471.89.
We have given that,
P = 728,
r = 0.044,
e is Euler's number (a constant), and
t = 16.
What is the formula of the account in t years?The formula of the account in t years is,
[tex]V = Pe^{rt}[/tex]
Use the given value in the above formula,
V = 728(2.02182385)
Therefore we get,
V = $1471.89
Therefore, the value of the account in t years is $1471.89.
To learn more about the account balance visit:
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We created this inequality to represent how Amy can meet her revenue goals:
-100x2 + 15,750x + 212,500 ≥ 243,600
In this activity, you’ll solve this inequality to find the minimum ticket price Amy should charge to meet her minimum revenue goal.
Part A
Set the inequality greater than or equal to 0.
Part B
Simplify the inequality by dividing by the GCF so the leading coefficient is positive.
Part C
Factor the left side of the inequality by grouping.
Part D
Solve the quadratic inequality. Remember to check any possible solutions for viability.
Part E
What is the minimum number of $2 increases that Amy needs to apply to the ticket price to reach her desired revenue?
Part F
What’s the minimum ticket price that Amy can charge and reach her goal? Recall that the ticket price is represented by 25 + 2x, where x represents the number of $2 increases.
Answer:
x = 2
Price = $29
Step-by-step explanation:
If x is the number of $2 dollars increases, then the minimum number of increases required to meet her goal is:
[tex]-100x^2 + 15,750x + 212,500 \geq 243,600\\-100x^2 + 15,750x -31,100\geq 0\\x^2 -157.5x + 311\geq 0\\x=\frac{157.5\pm\sqrt{157.5^2-(4*1*311)} }{2}\\ x_1= 2\\x_2=155.5[/tex]
The only realistic value is x = 2 $2 increases
If the original price was $25, then the new rice required to reach Amy's goal is:
[tex]P=25+2*2\\P=\$29[/tex]
The minimum ticket price is $29.
Answer: B: 2x^2-315x+622_< 0
C: (2x-311)(x-2)_< 0
("_<" means greaten than for equal to)
factorize
[tex]9 - 4 {m}^{2} [/tex]
in algebra expression...
Answer:
(3+2m)(3-2m)
Step-by-step explanation:
(3+2m)(3-2m)
What is the decimal multiplier to decrease by 60%?
Answer:
0.4
Step-by-step explanation:
To decrease something by 60% you multiply by 0.4
Answer:
0.4
Step-by-step explanation:
Say you have an object that costs $100.
Now 60% of $100 is $60.
Subtract $60 from $100 and you get $40.
Now $100 × [tex]x[/tex] = $40
[tex]x=0.4[/tex]
$100×0.4=$40
You need to multiply it by 0.4
if BPD and dpc have a sum
of 72 degrees What is APC?
A. 18°
B 90°
D.180°
Write your own word problem that involves a multistep linear equation. Then translate your problem into its resulting math equation.
Answer:
The cost of admission to a festival was $112 for 9 children and 3 adults. The admission was $108 for 8 children and 3 adults in another festival. How much was the admission for each child and adult?
Step-by-step explanation:
does anyone know this??
complete the solution of the equation. Find the value of y when x equals
-30 -2x - 3y = 42
Answer: y = 6
Step-by-step explanation:if x = -30 then -2 x = 60 so 60 - 42 = 18 divide that by 3 and you get y.
Triangle J K L is shown. Point N is the midpoint of side J L and point M is the midpoint of side K L. The length of J K is 19.6 meters. The lengths of J N and N L are 7.4 meters. The lengths of K M and M L are 10.7 meters. What is the distance between points M and N?
Answer:
i think 9.8 but im not sure
Step-by-step explanation:
The distance between points M and N is; 9.8 meters.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
From observation, it is given that the line segment MN which joins points M and N is parallel to the line JK. which follows from the fact that M and N are midpoints of KL and JL respectively.
Hence, it states that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality:
NM/19.6 = 7.4/(2×7.4)
Solving;
NM = 19.6/2
NM= 9.8 meters.
This follows that, the ratio of corresponding sides of congruent triangles are equal.
The distance between points M and N is; 9.8 meters.
Read more on congruent triangles;
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A thirty-five ounce bottle of Pedialyte contains 2,500 mg of dextrose. If a child drinks 7 ounces straight from the bottle, how many mg of dextrose will he consume?
Answer:
500 mg
Step-by-step explanation:
amount of dextrose in 35 ounce Pedialyte = 2500 mg
dividing LHS and RHS by 35
amount of dextrose in 35/35 ounce Pedialyte = 2500 /35 mg = 500/7 mg
Thus,
amount of dextrose in 1 ounce Pedialyte = 500 /7 mg
since we have to find amount of dextrose in 7 ounce Pedialyte
we multiply LHS and RHS by 7
Thus,
amount of dextrose in 1 *7 ounce Pedialyte = 500 /7 * 7 mg = 500 mg
amount of dextrose in 7 ounce Pedialyte = 500 mg
Thus, As child consumed 7 ounces of Pedialyte, He consumed 500 mg of dextrose.
Can anyone help me with this answer:
One of the zeroes of the polynomial 2x2 + 7x –4 is
(A) 2
(B)1/2
(C) -1/2
(D) –2
Answer:
Option B
Step-by-step explanation:
For this we'll put all of these options in place of x
Number 1:
=> [tex]2(2)^2+7(2)-4[/tex]
=> 2(4)+14-4
=> 8+10
=> 18
So, This is not the zero of the polynomial
Number 2:
=> [tex]2(1/2)^2+7(1/2)-4[/tex]
=> 2(1/4)+7/2-4
=> 1/2+7/2-4
=> [tex]\frac{1+7-8}{2}[/tex]
=> [tex]\frac{8-8}{2}[/tex]
=> 0
Yes, This is the zero of the polynomial having zero as an answer
So, We'll end the solution here because we have found the zero of the polynomial.
Hope this helps :)