Answer:
8∛4 ≈ 12.70 . . . . cm deep
Step-by-step explanation:
The ratio of volumes of similar cones is the cube of the ratio of their linear dimensions. That means the height of a cone with 1/2 the volume will be ...
∛(1/2)
times the height of the full cone.
The water will be ...
(16 cm)(∛(1/2)) = 8∛4 ≈ 12.70 . . . . cm deep
I’ll Give Brainlynest
Answer:
The answer is A.
Step-by-step explanation:
I hope this helps!
What conclusion can you make from the information below?
Three people (Jack, Karen, and Louis) drive three different types of cars
(Ford, Chevrolet, Honda).
• Jack does not drive a Chevrolet.
• Karen does not drive a Chevrolet,
A. Louis drives a Chevrolet
B. Jack drives a Honda
C. Karen does not drive a Ford.
D. Louis does not drive a Chedly let.
M
Answer:
A.louis drive a chevolet
Step-by-step explanation:
from the question three different people drive different cars . since two out of the three people has been excluded from driving a particular car i.e the third person is the one driving Chevrolet
Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?
Answer:
h(x) = x^3
A function has an inverse that is also a function is it is a one-to-one function, a function is one-to-one if each value in the domain is linked to only one value in the range, and if each value in the range is linked to only one value in the domain.
Then, a function that is monotonous growing is always one to one, and a function is monotonous growing if the derivative is positive for all the values of x
The derivative of x^3 is:
h'(x) = 3*x^2
and as you know, x^2 is always equal or greater than zero, so h(x) = x^3 is monotonous growing, then it has a inverse that is also a function.
two factors of -48 have a difference of 19. the factor with a greater absolute value is positive. what is the sum of the factors? -19, -13 13 or 16
Answer:
-19
Step-by-step explanation:
-19 is the absolute value of 19
hope this helps
Answer:
sum = +13
Step-by-step explanation:
The possible factors of 48 are
{1,2,3,4,6,8,12,16,24,48}
Of these, the pair 3,16 gives a sum of 19 and a product of 48.
We are given that 16 (greater absolute value) is positive, so 3 is negative.
The sum of the two is therefore 16-3 = 13
Which points are coplanar?
Answer: ABFE or ABJCDI
Step-by-step explanation: Any points that are in the same plane or face of a 3D figure
help with this question please
Answer:
Emily had $24 to begin with.
Fred had $21 to begin with.
Step-by-step explanation:
We know that both Emily and Fred gave Gary, who had no money, a total of $15. We also know that now they have the same amount of money (they all have $15). We simply have to add the values each person gave to Gary:
Emily: 15 + 9 = 24
Fred: 15 + 6 = 21
The diagram shows three angles at point. Work out the value of x
Answer:
x = 69°Step-by-step explanation:
[tex]168 + 123 + x = 360 \\2 91 + x = 360 \\ x = 360 - 291 \\ x = 69 \: \: degrees[/tex]
What are the coordinates of point B on Line AC such that AB is 3 times as long as BC? (Screenshots supplied to clarify)
Answer:
B(3.5, 0.5)
Step-by-step explanation:
Given:
A(5,5), Xa=5, Ya=5
C(3,-1), Xc=3, Yc=-1
To find point B, we can use the partition rule, where AB = 3BC, so AB occupies k=3/4 of the distance AC.
B(x,y) = ((1-k)Xa+kXc, (1-k)Ya+kYc)
=(Xa/4+3Xc/4, Ya/4+3Yc/4), substitute values
=(5/4+3*3/4, 5/4+3*(-1)/4)
=(14/4,2/4)
=(3.5, 0.5)
Answer:
(3.5, 0.5) or A
Step-by-step explanation:
Got it right
Factor completely x3 + 6x2 + 8x + 48. A (x − 6)(x2 − 8) B (x − 6)(x2 + 8) C (x + 6)(x2 − 8) D (x + 6)(x2 + 8)
Answer:
(x+6)(x^2+8)
D
Step-by-step explanation:
x^3 + 6x^2 + 8x + 48=
x2(x+6)+8(x+6)= take x+6 common factor
(x+6)(x^2+8)
Find the equation of the line passing
through the points (3, 3) and (4, 5).
y = [? ]x + [
Find the gradient of the line y - x = 2
Q.3
Answer:
The gradient is 1
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the gradient
c is the y intercept
first write the equation in the formula above
That's
y = x + 2
the coefficient of x is 1
so the gradient is 1
Hope this helps you
plz help its urgent i will rate brainliest Your actual height: ___154.cm__________ Your height in the picture: 10cm The height of the object in the picture: 13cm Your guess of the actual height of the object: 170cm Show your calculations to determine the actual height of the object. The actual height of the object:
Answer:
The actual height of the object is 200.2 cm
Step-by-step explanation:
The parameters given are;
The actual height = 154 cm.
The height in the picture = 10 cm.
The height of the object = 13 cm
The scale of the picture is 154 is to 10 or 154:10 which is equivalent to 77:5
Therefore the scale of the actual object height to the image height = 77:5
Where the image of the object = 13 cm
Let the height of the actual object = X, then we then have;
[tex]\dfrac{77}{5} = \dfrac{X}{13}[/tex]
[tex]X = 13 \times \dfrac{77}{5} = \dfrac{1001}{5} = 200\frac{1}{5} \ cm = 200.2 \ cm[/tex]
The actual height of the object = 200.2 cm.
7.959 to one decimal place .
Answer:
8.0
Step-by-step explanation:
Since we are trying to find the nearest tenth decimal place, we look at the hundredths place to figure it out. Since it is ≥5, we round up.
Answer:
The answer would be 8
Step-by-step explanation:
If you have a decimal and you need to round, if it is four and below, you would have just leave the number as it is if it is five and above, you round up.
What is the next term of the arithmetic sequence?
6,2, -2, -6,
Answer:
-10
Step-by-step explanation:
-4 between each number
use the figure and given information below. Show the calculations that lead to your results. Given: Polygon ROTFL ~ Polygon SUBAG Perimeter of ROTFL is 52. a) Find m∠G. (1 pt) b) Find AG. (2 pts) c) Find the perimeter of Polygon SUBAG. (2 pts)
Answer:
a) [tex]\angle G = 125^\circ[/tex]
b) AG = 15 units
c) Perimeter of polygon SUBAG = 78 units
Step-by-step explanation:
Given:
Polygon ROTFL ~ Polygon SUBAG
Similar polygons mean they have similar angles and the ratio of corresponding sides and ratio of their perimeter are equal.
Part A:
Given that
[tex]m\angle R = 100^\circ\\m\angle O = 120^\circ\\m\angle T = 75^\circ\\M\angle L = 60^\circ[/tex]
[tex]m\angle L+M\angle L = 180^\circ\\\Rightarrow m\angle L=180-60=120^\circ[/tex]
Sum of all interior angles of a pentagon is [tex]540^\circ[/tex]
[tex]m\angle R+m\angle O+m\angle T+m\angle F+m\angle L=540^\circ\\\Rightarrow 100+120+75+m\angle F+120=540^\circ\\\Rightarrow m\angle F=125^\circ\\[/tex]
Due to similarity property of the two pentagons, [tex]\angle F =\angle G = 125^\circ[/tex]
Part B:
Ratio of corresponding sides is equal.
Given the sides SU = 12, RO = 8 and FL = 10 units respectively.
[tex]\dfrac{SU}{RO}=\dfrac{AG}{FL}\\\dfrac{12}{8}=\dfrac{AG}{10}\\\Rightarrow AG = 15\ units[/tex]
Part C:
Ratio of corresponding sides must be equal to ratio of perimeter of the two polygons:
[tex]\dfrac{RO}{SU} = \dfrac{\text{perimeter of ROTFL}}{\text{perimeter of SUBAG}}\\\Rightarrow \dfrac{8}{12} = \dfrac{52}{\text{perimeter of SUBAG}}\\\Rightarrow \text{perimeter of SUBAG} = 52 \times 1.5\\\Rightarrow \text{perimeter of SUBAG} = 78\ units[/tex]
So, the answers are:
a) [tex]\angle G = 125^\circ[/tex]
b) AG = 15 units
c) Perimeter of polygon SUBAG = 78 units
Calculate: (6,666,666×666,666)/(1+2+3+4+5+6+5+4+3+2+1)− (777,777×777,777)/(1+2+3+4+5+6+7+6+5+4+3+2+1)
Answer:
1066528471
Step-by-step explanation:
[tex]\frac{6,666,666*666,666}{1+2+3+4+5+6+5+4+3+2+1}[/tex] - [tex]\frac{777,777*777,777}{1+2+3+4+5+6+5+4+3+2+1}[/tex]
The lowest common multiple is 1+2+3+4+5+6+5+4+3+2+1, so that;
= [tex]\frac{(6,666,666*666,666)-(777,777*777,777)}{1+2+3+4+5+6+5+4+3+2+1}[/tex]
= [tex]\frac{(444443955600)-(60493706170}{1+2+3+4+5+6+5+4+3+2+1}[/tex]
= [tex]\frac{38395024940}{36}[/tex]
= 1066528471
The solution to the given question is 1066528471.
Question 20 PLEASE HELP Tell whether the equation: -x+4y=-5 represents a direct variation
Answer:
no, it does not
Step-by-step explanation:
Hello
-x+4y=-5
so
[tex]4y = x-5\\<=> y=\dfrac{1}{4}x-\dfrac{5}{4}[/tex]
we say that y varies directly with x if y=kx
in this example we have an additional constant, the graph is not a line through the origin so this is not a direct variation
hope this helps
A producer has fixed expenses of $980 to put on a 3-day production of a play. Each ticket to the play will be sold for $5.00. The line shows the net profit or loss of the producer based on selling x tickets. What is the minimum number of tickets the producer must sell over the 3-day period in order to earn a profit?
Answer:
196 tickets
Step-by-step explanation:
The total expenses to put on a 3-day production of a play is $980. Each ticket to go and watch the play is going to be sold for $5. The producer sells x number of tickets, x number of tickets would cost 5x. Therefore to find the number of tickets the producer must sell so as to make a profit the money generated from selling the tickets must be more than the cost of production. Therefore we use the formula:
5x ≥ 980
Dividing through by 5:
x ≥ 980
x ≥ 980/5
x ≥ 196
Therefore the producer must sell at least 196 tickets so as to make a profit
2/3a= -15 - a Please Explain
Hi there! :)
Answer:
a = -9
Step-by-step explanation:
Starting with:
2/3a = -15 - a
Solve for 'a' by isolating the variable:
2/3a = -15 - a
On the right-hand side of the equal sign, make 'a' have a common denominator of 3 to make the simplifying easier:
2/3a = -15 - 3/3a
Add 3a/3 to both sides:
5/3a = -15
Divide both sides by 5/3, or multiply by its reciprocal (3/5)
5/3a(3/5) = -15(3/5)
a = -9
What is the slope of the function, represented by the table of values below?
Answer:
b.) -4
Step-by-step explanation:
rise/run so its 8/2
The slope of a function will be -4. Then the correct option is B.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall, and the difference between the abscissa is called run.
Slope = (y₂ - y₁) / (x₂ - x₁)
Take two point from table.
(-2, 13) and (3, -7)
(x₁, y₁) = (-2, 13)
(x₂, y₂) = (3, -7)
Then the slope of a function will be
Slope = (–7 – 13) / (3 + 2)
Slope = –20 / 5
Slope = –4
Then the correct option is B.
More about the slope link is given below.
https://brainly.com/question/3605446
#SPJ2
The population of Oregon is about 4,000,000 what is the order of magnitude of this number? A) 6 B) 4 C) 3 D) 7
Answer:
A
Step-by-step explanation:
Here, we are tasked with finding the order of magnitude.
What we are basically asked here is to write the number in powers of ten.
Thus
4,000,000 = 4 * 10^6
We can see that 10 is raised to the power of six here and thus we can say that the order of magnitude here is simply 6
Given: Line A B intersects Line D E at point C. Prove: AngleDCB Is-congruent-toAngleECA Line D E intersects line B A at point C. A 2-column table with 6 rows. Column 1 is labeled statements with the entries line A B intersects line D E at point C, angle D C B and angle B C E are a linear pair, angle D C B is supplementary to angle B C E, angle B C E and angle E C A are a linear pair, angle B C E is supplementary to angle E C A, angle D C B is-congruent-to angle E C A. Column 2 is labeled reasons with the entries given, definition of linear pair, linear pair post, definition of linear pair, question mark, congruent to supplementary theorem. What is the missing reason in step 5? linear pair postulate given definition of complementary angles congruent complements theorem
Answer:
The missing reason in step 5 is;
The linear pair postulate
Step-by-step explanation:
The information given are;
Column 1, Column 2
Statements, Reasons
Line AB intersect DE at C, Given
∠DCB and ∠BCE are linear pair, Definition of linear pair
∠DCB is supplementary to ∠BCE, Linear pair postulate
∠BCE and ∠ECA are linear pair, Definition of linear pair
∠BCE is supplementary to ∠ECA, Linear pair postulate
∠DCB ≅ ∠ECA, Congruent to supplementary theorem
Therefore, the missing reason in step 5 is the linear pair postulate.
Answer:
itS A
Step-by-step explanation:
Helppp!!!! please!!!
Answer:
I. (x - 6)² + (y + 7)² = 121
Step-by-step explanation:
Given a circle with coordinates of the center as (6, -7), and with a diameter of 22, equation of the circle is given below using the standard equation formula of a circle:
Formula => (x - a)² + (y - b)² = r²
Where,
a = 6
b = -7
r = radius of circle = ½ of diameter = ½ of 22 = 11
Thus, plug in the above values into the standard equation formula:
(x - 6)² + (y - (-7))² = 11²
(x - 6)² + (y + 7)² = 121
Our answer, which is the equation of the circle is I. (x - 6)² + (y + 7)² = 121
Write the slope-intercept form (y=mx + b) of the blue line. Explain or show your work. Write a one sentence summary comparing the blue line to the black line. Hint: Find the y-intercept. Then count up and over (y/x) to the next point on the line to determine the slope.
Answer:
y=1/2x+2(2 is the y-intercept)
The blue line and black line have the same y-intercept, but the black line has a slope 1/6 greater than the blue line.
Hope it helps <3
Answer:
[tex]\boxed{y=\frac{1}{2} x+2}[/tex]
Step-by-step explanation:
Let's take any of the coordinates of blue line to find the slope
The coordinates are (4,4) and (0,2)
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
Slope = [tex]\frac{2-4}{0-4}[/tex]
Slope = [tex]\frac{-2}{-4}[/tex]
Slope = m = 1/2
Y-intercept = b = 2 (Because here x= 0)
So, the slope intercept equation becomes:
=> [tex]y = mx+b[/tex]
=> [tex]y = \frac{1}{2} x+2[/tex]
A town's population is currently 5,000. If the population doubles every 95 years, what will the
population be 380 years from now?
The Venn diagram below shows the numbers of students in a class who had curry (C) and salad (S) at lunch. A student is chosen at random. Find P(C U S)
Answer:
Step-by-step explanation:
hello,
how many students ? 14 + 2 + 5 +3 = 24
how many students who had C and S ? 14 + 2 + 5 = 21
so P(C∪S)=21/24=(7*3)/(8*3)=7/8
hope this helps
What is the square root of 16x^16
Answer:
4x⁸Step-by-step explanation:
[tex]\sqrt{16x^{16}}=\sqrt{16}\cdot\sqrt{x^{16}}=4\cdot x^8[/tex]
The square root of 16x¹⁶ is 4x⁸
What is expression?
Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers
[tex]\sqrt{16x^1^6}[/tex]
Rewrite [tex]16x^1^6[/tex] as [tex](4x^8)^2[/tex]
[tex]\sqrt{ (4x^8)^2}[/tex]
Pull terms out from under the radical, assuming positive real numbers
[tex]4x^8[/tex]
Hence, the square root of 16x¹⁶ = 4x⁸
Learn more about Expressions here:
https://brainly.com/question/13947055
#SPJ2
plz help forgot how to do this
Answer:
the true statements are A. The range for this function is the set (-5) D. The domain for this function is the set(-5)
given the polynomial function below find F(2)
F(x) = 5x^3 -2x^2 + 3
Answer:
35
Step-by-step explanation:
f(x)=5x^3-2x^2+3
f(2)=5x2^3-2x2^2+3
=5x8-2x4+3
=40-8+3
=40-5
=35
Answer:
35
Step-by-step explanation:
F(x) = 5x^3 -2x^2 + 3
Let x=2
F(2) = 5(2)^3 -2(2)^2 + 3
= 5*8 -2(4) +3
= 40 -8+3
= 32+3
= 35
If the diagonal path is 750 feet long and the width of the park is 450 feet, what is the length, in the feet, of the park?
Answer:
The length is 600 ft
Step-by-step explanation:
We can use the Pythagorean theorem since we know the diagonal which is the hypotenuse and the width
a^2 + b^2 = c^2
450 ^2 + b^2 = 750^2
b^2 = 750^2 - 450^2
b^2 =562500-202500
b^2 =360000
Taking the square root of each side
sqrt(b^2) = sqrt(360000)
b =600