Answer:
B
Step-by-step explanation:
r=3 in
h=8 in
Volume of funnel
[tex]V=\frac{1}{3}\pi r^2h\\=\frac{1}{3} \times 3.14 \times 3^2 \times 8\\=75.36 in.^3\\time ~taken~to~drip out=\frac{75.36}{15}\\\approx 5.02~minutes.[/tex]
Answer:
5.02 is right
Step-by-step explanation:
i hope this helps
Which situation is best represented using a negative integer?
Answer:
a
Step-by-step explanation:
Help please, area of a triangle
Answer:
84 ft^2.
Step-by-step explanation:
Use Pythagoras to find the value of h:
25^2 = h^2 + 7^2
h^2 = (25-7)(25+7)
h^2 = 576
h = √576 = 24
Area = 1/2 * 7 * 24
= 84.
find the distance between (3,3) and (3,4)
Answer:
1
Step-by-step explanation:
√(4-3²+(3-3)²
√1¹+0
√1
1
Answer:
1 unitStep-by-step explanation:
Since x- coordinates are same, the distance is the difference of the y-coordinates:
4 - 3 = 1Find all three distinct roots for X³ =1. (two of them are complex mumber). And show that sum of all roots is zero.
x ³ = 1
x ³ - 1 = 0
x ³ - 1³ = 0
Factorize the right side as a difference of cubes:
(x - 1) (x ² + x + 1) = 0
Then
x - 1 = 0 or x ² + x + 1 = 0
The first equation yields x = 1 as a root.
For the other equation, rearrange and complete the square to get the other two roots,
x ² + x + 1/4 = -3/4
(x + 1/2)² = -3/4
x + 1/2 = ±√(-3/4) = ± i √3/2
x = -1/2 ± i √3/2
x = (-1 ± i √3)/2
Since complex roots occurs in conjugate pairs, taking the sum of these two roots eliminates the imaginary part:
(-1 + i √3)/2 + (-1 - i √3)/2 = (-1 - 1)/2 = -2/2 = -1
and adding to 1 indeed shows that the sum of roots is zero.
Select the correct statement which describes the multiplicative relationship between two equivalent ratios.
A The ratios
5
16
and
32
10
are equivalent. Each term in
32
10
is two times the corresponding term in
5
16
.
B The ratios
16
5
and
10
32
are equivalent. Each term in
10
32
is four times the corresponding term in
16
5
.
C The ratios
16
5
and
32
10
are equivalent. Each term in
32
10
is two times the corresponding term in
16
5
.
D The ratios
16
5
and
32
15
are equivalent. Each term in
32
15
is four times the corresponding term in
16
5
.
Answer:
A
Step-by-step explanation:
Instructions: Find the missing side of the triangle.
30
х
50
X=
Answer:
x = 40
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 30² = 50²
x² + 900 = 2500 ( subtract 900 from both sides )
x² = 1600 ( take the square root of both sides )
x = [tex]\sqrt{1600}[/tex] = 40
What quadratic formula do I need to use to solve 3x(x+6)=-1
Answer:
[tex]\Large \boxed{x_1=\frac{9+\sqrt{51} }{3} \ \ ; \ \ x_2=\frac{9-\sqrt{51} }{3} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} 3x(x+6)=-10 \\\\3x^2+18x=-10 \\\\3x^2+18x+10=0 \\\\D=324-120=204 \\\\ x_{1;2}=\frac{18\pm2\sqrt{51} }{6} =\frac{9\pm\sqrt{51} }{3}[/tex]
Please hurry I will mark you brainliest
What is the value of p in the equation of the line px + 2y + 8 = 0, so that the x-intercept is 4?
Answer:
p = -2
Step-by-step explanation:
px + 2y + 8 = 0
px + 2y = -8
p(4) = -8
p = -2
In a survey of 850 students in a school, 90% reported having pets at home. If the margin of error is 3.4%, what is the interval that is likely to contain the exact percent of all people who have pets at home?
Between 3.4% and 90%
Between 90% and 93.4%
Between 86.6% and 90%
Between 86.6% and 93.4%
Answer:
Between 86.6% and 93.4%Step-by-step explanation:
To obtain the population proportion from the sample, we calculate the confidence interval ; Confidence interval = phat ± margin of error Phat = 90% ; margin of error = +3.4% 90% ± 3.4% (90 - 3.4)% ; (90 + 3.4)% 86.6% ; 93.4%Find the length of the arc.
We know
Length if arc=L[tex]\boxed{\sf L=\dfrac{\theta}{360}\times 2πr}[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{135}{360}\times2π(7)[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{27}{72}\times 14π[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{27}{36}\times 14π[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{9}{12}\times 7π[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{63π}{12}[/tex]
[tex]\\ \sf\longmapsto L=\dfrac{21π}{4}in[/tex]
How are a desert and a tundra similar?
A. They both have high levels of precipitation.
B. They have many trees and a lot of vegetation.
C. They have high average temperatures.
D. They have low humidity and low levels of precipitation.
Answer:
D is right option
Step-by-step explanation:
Similarities:
Both the biomes experience less precipitation due to this they have a less diversity of flora and fauna as compared to other biomes like savanna, grasslands, chaparral etc. Let us see how they differ from each other!
Low rain fall _ annual rainfal of lessthan 20cm in deserts, 15-20cm in tundra
Minimal life_ only small shurbs can survive in both kind of environments
Poor drainage.. In deserts, though sandy soil may seem much porous, these are most flood prone areas of world. The tundra is characterised by permafrost soils ie, under the thin layer of soil, a thick ice sheet is present and hence is no seepage.
High range of temperatures: In tundra, the maximum temperatures are recorded in summer (abt 10^C) and minimum during winter(-20 to -30^C). While, in desert too, the temperature range is high but diurnally ie, nights are too cold and day time is scorching.
Express 1.2, 2.25, 3.5, 4.06 as a fraction in its simplest form
Answer:
1.2 = 12/10 = 6/5
2.25 = 225/100 = 9/4
3.5 = 35/10 = 7/2
4.06 = 406/100 = 203/50
Algebra 1 need help ASAP
Answer:
Step 1: 12-2a=3a-18
Step 2: 12-5a=-18
Step 3: -5a=-30
Step 4: a=6
I hope this helps!
pls ❤ and give brainliest pls
A) 60° B) 85° C) 96° D) 40°
Answer:
A)60°
Step-by-step explanation:
a straight line is 180° then
if a line bisect it in to a half it become 90°
then
the exterior angle of a triangle is equal to the sum of two interior angles
this means 150°-90°=60°
Answer: A) 60
Step-by-step explanation:
The line at the top signifies 180 degrees, as does any straight line. The 150° that intersects with P tells you that P must be 30 degrees, as 180 - 150 = 30.
The three angles of a triangle must always equal 180°. Angle R tells you that it’s 90°, shown by the square instead of a curve. If you subtract the value of P we found before, and the value of R we just found, you get your answer.
180 - 30 - 90 = 60.
(y+2)(y^2-2y+4) ..........................
You can use the distributive property to multiply:
( y )( y² - 2y + 4 ) + ( 2 )( y² - 2y + 4) =
y³ - 2y² + 4y + 2y² - 4y + 8 =
y³ + 8
The -2y² and the 2y² cancel each other, and the 4y and -4y cancel each other out!
PLEASE HELP!!! The length, width, and height of a right rectangular prism are doubled. What will be the effect on the volume of the prism?
Answer:
The volume is multiplied by 8.
Step by step explanation:
Let the length equal l, the width equal w, and the height equal h for the original rectangular prism.
The volume of a right rectangular prism with length l, width w, and height h is V=lwh.
Therefore, the volume of the original prism is lwh.
The new rectangular prism has dimensions that are twice those of the original rectangular prism: the length equals 2l, the width equals 2w, and the height equals 2h.
To calculate the volume of the rectangular prism, substitute the doubled values into the formula for the volume of a rectangular prism.
V=2l·2w·2h
Simplify.
V=8lwh
The new volume is 8lwh.
If the length, width, and height of a right rectangular prism are doubled, the volume is multiplied by 8.
Therefore, the new volume is the original volume multiplied by 8.
How do I find x and y?
Answer:
x = 20
y = 70
Step-by-step explanation:
Since B and D are parallel :
6x - 10 + 3x + 10 = 180 add/subtract like terms
9x = 180 divide both sides by 9
x = 20
angle represented by y and 6x - 10 are supplementary and their sum is 180
y + 6x - 10 = 180 replace x with 20
y + 6*20 - 10 = 180
y + 120 - 10 = 180
y + 110 = 180 subtract 110 from both sides
y = 70
The sequence shown below is defined using a recursion formula. Write the first four terms of the sequence.
a1=10 and an-1+3 for n is greater than and equal to 2
Explanation:
The notation [tex]a_1 = 10[/tex] says that the first term is 10.
The notation [tex]a_n = a_{n-1}+3[/tex] is the recursive rule that says "to find the nth term, we add 3 to the previous term". So we add 3 to each term to get the next one.
first = 10second = first+3 = 10+3 = 13third = second+3 = 13+3 = 16fourth = third + 3 = 16+3 = 19This sequence is arithmetic due to the common difference d = 3.
Answer:
Step-by-step explanation:
a1=10
a_{n}=a_{n-1}+3
n=2
[tex]a_{2}=a_{1}+3=10+3=13\\n=3\\a_{3}=a_{2}+3=13+3=16\\n=4\\a_{4}=a_{3}+3=16+3=19\\first~four~terms~are\\10,13,16,19[/tex]
Find the indicated side of the
right triangle.
45°
y
6
45
Х
y = [?] /
Answer:
hello dear...
see first of all there's a thm type thing
'' sides opposite to equal angles are equal ''
so here 45 degrees in both sides are equal which leads us that opposite sides are equal as well
so x = 6
now we got value of 2 sides, both are 6 and now applying pythogarus as it is right angle
6^2 + 6^2 = y^2
36+36 = y^2
72 = y^2
y = √72
y = √36*2
y = 6√2
brainliest plssss <33
The vertex is 2,-4 what is the parabola equation
Answer:
y + 4 = (x - 2)^2
Step-by-step explanation:
The vertex form of the equation of a vertical parabola is
y - k = a(x - h)^2, where (h, k) represents the vertex and a is a scaling factor which stretches or compresses the parabola vertically. If all we know is the vertex (2, -4), then the desired equation is:
y + 4 = a(x - 2)^2
If there is no vertical stretching or compression, then the equation becomes:
y + 4 = (x - 2)^2
Answer:
y = x² - 4x
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (2, - 4) , with a = 1 , the equation is
y = (x - 2)² - 4 ← expand using FOIL
= x² - 4x + 4 - 4
y = x² - 4x ← equation of parabola
The area of each square below is 1 square unit.
The area of a square field is 1 17/64 m2. What is the perimeter of the square field? Can some1 say this ans fast pls
Answer:
5.41 m
Step-by-step explanation:
First, let's find a side length by taking the square root of the area.
117/64 ^ 1/2 = 1.352...
Next, we need to multiply by 4.
1.352... x 4 = 5.408...
= approximately 5.41
6. Use a one unit multiplier to convert 20 inches to centimeters.
7. Use two unit multipliers to convert 25 feet to centimeters.
Answer:
should be 15.
Step-by-step explanation:
The interest of the sum of money at the end of 10 years is one third of the sum. Find the rate of interest
Answer:
3.33%
Step-by-step explanation:
Intrest = P. A. *Intrest Rate * Time
(1/3)*P. A. = P. A. *Intrest Rate * 10
Intrest Rate = 1/30)=3.33%
We want to find the zeros of this polynomial:
p(x) = 2x^3 + 3x^2 - 18x -27.
Plot all the zeros (x-intercepts) of the polynomial in the graph.
Answer:
-3,-1.5,3
Step-by-step explanation:
(x+3) x=-3
(x-3) x=3
(2x+3) x=-3/2
Find the volume of a cone with a
radius of 10 and a height of 7. Use 3.14 for n and
round the answer to the nearest whole number.
Answer:
Step-by-step explanation:
Volume of a cone formula is
[tex]V=\frac{1}{3}\pi r^2h[/tex] where r is radius and h is height. Filling in:
[tex]V=\frac{1}{3}(3.14)(10)^2(7)[/tex] and doing all the math on that and rounding gives us
V = 733 units cubed
The total cost of 2 bracelets and 3 necklaces is $15.50. The total cost of 4 bracelets and 1 necklace is $13.50. Let b represent the cost of each bracelet and n represent the cost of each necklace. This situation can be represented by the following system of equations.
{2b+3n=15.504b+n=13.50
What is the cost of one bracelet?
A
$2.50
B
$7.75
C
$5.00
D
$3.50
Answer:
A
$2.50
Step-by-step explanation:
b = cost of bracelet
n = cost of necklace
2b+3n = 15.50
4b+1n = 13.50
Multiply the first equation by -2
-4b -6n = -31
4b +n = 13.50
---------------------------
-5n = -17.50
Divide each side by -5
-5n/-5 = -17.5/-5
n = 3.50
Now we can find b
4b+n = 13.50
4b+3.50 = 13.50
4b+3.50-3.50 = 13.50 -3.50
4b = 10
Divide by 4
4b/4 = 10/4
b = 2.50
A pizza parlor offers 4 different pizza toppings. How many different kinds of 2-topping pizzas are available?
Answer:
you need to be more specific.
Step-by-step explanation:
PLZ HELP ASAP ITS KHAN WILL GIVE 5 STARS AND HEART AND 10 POINTS AND BRAINLIST
Answer:
14.4
Step-by-step explanation:
Cross multiply.
5x = 8 * 9
5x = 72
x = 14.4
Answer:
x= 14.4
Step-by-step explanation:
1. cross multiply
5*x and 8*9
5x=72
2. divide 72 by 5
x= 14.4
On a survey, 6 students reported how many minutes it takes them to travel to school. Here are their responses.
Find the mean travel time for these students.
4, 11, 14, 9, 4, 8
