Answer:
The solution to the equation are [tex]5+\frac{\sqrt{42} }{2\\} \ and \ 5-\frac{\sqrt{42} }{2\\}\\[/tex]
Both of his values are positive real numbers
Step-by-step explanation:
The general formula of a quadratic equation is expressed as [tex]ax^{2}+bx+c = 0\ where;\\x = -b\±\frac{\sqrt{b^{2}-4ac } }{2a}[/tex]
Given the expression 0 = x² – 5x – 4 which can be rewritten as shown below;
x² – 5x – 4 = 0
Comparing this to the general equation; a = 1, b = -5, c= -4
To get the solution to the quadratic equation, we will use the general formula above;
[tex]x = -b\±\frac{\sqrt{b^{2}-4ac } }{2a}\\x = -(-5)\±\frac{\sqrt{(-5)^{2}-4(1)(-4) } }{2(1)}\\\\x = 5\±\frac{\sqrt{25+16 } }{2}\\x =5\±\frac{\sqrt{41} }{2}\\x = 5+\frac{\sqrt{42} }{2}\ and \ 5-\sqrt{42} /2\\[/tex]
Both of his values are positive real numbers
Answer: D.–0.7
Step-by-step explanation: hope this helps :)
-9x + 0.4 = 4 hhhhhhhhheeeeeeeeellllllllppppppp
Answer:
x = -0.4
Step-by-step explanation:
First subtract the 0.4 from both sides. Then divide both sides by -9 to solve for x.
Answer:
-0.4
Step-by-step explanation:
Subtract 0.4 from both sides.
-9x + 0.4 = 4
-0.4 -0.4
-9x = 3.6
Divide both sides by -9.
-9x/-9 = 3.6/-9
Simplify
x = -0.4
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Stan is serving lemonade at the school dance out of a cylindrical container. The radius is 10 inches and the height is 36 inches. The lemonade is poured into cone shaped cups with a radius of 2 inches and a height of 5 inches. How many full cone shaped cups can be filled from the cylindrical container?
Answer:
540 cups
Step-by-step explanation:
Number of cone shaped cups = Volume of cylinder/volume of cone
Cylinder:
r = 10 inches
h = 36 inches
Volume = πr²h
= π * 10*10*36
= 3600 π cubic inches
Cone:
r = 2 inches
h = 5 inches
Volume = (1/3)πr²h
[tex]=\frac{\pi*2*2*5 }{3}\\\\=\frac{20\pi }{3} cubic inches[/tex]
Number of cones = 3600 π / (20π/3)
[tex]= 3600\pi *\frac{3}{20\pi }\\\\= 180*3[/tex]
= 540
help me fill this out thanks
Answer:
Perimeter = 80mm
Step-by-step explanation:
= 4(side)
= 4(20)
= 80mm
hope it helps!
Answer:
What is the perimeter of this square? 80 mm
Step-by-step explanation:
20 + 20 + 20 + 20
= 4 × 20
= 80 mm
What is 20 divided by 2
Answer:
10
Step-by-step explanation:
10 x 2 = 20
10 = 20 / 2
Answer:
10
Step-by-step explanation:
2×1=2
2×2=4
2×3=6
2×4=8
2×5=10
2×6=12
2×7=14
2×8=16
2×9=18
2×10=20
About how many times greater is the volume of the cylinder than the volume of the cone?
Your answer is 3 times larger.
The volume of any cone is 1/3 the volume of the cylinder that could be formed around that cone, therefore the volume of any cylinder is 3 times larger than the volume of the cone that could fit inside.
We know this is true because the equation for the volume of a cone is (1/3) πr²h, and the equation for the volume of a cylinder is πr²h
I hope this helps!
Solve the equation shown for x.
2( x - 4) = 4x + 3x + 6
Answer:
-2.8
Step-by-step explanation:
I solved it thats how
Convert/change 1/5 to a percent
Answer: 20%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 1/5 as a percent, we need to find a fraction equivalent to 1/5 that has a 100 in the denominator.
We can do this by setting up a proportion.
[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{1}{5} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (1)(100) which is 100 is equal to (5)(n) or 5n.
So we have 100 = 5n.
Next, dividing both sides of the equation by 5, we have 20 = n.
So 1/5 is equal to 20/100 or 20%
How many 2-digit numbers are multiples of either 5 or 7?
The total number of 2-digit numbers that are multiples of either 5 or 7 is 27
How many multiples of 5 are there?
The multiples of 5 end on 0 or 5, so we have:
10, 15, 20, 25,..., 95
A total of 17 numbers of 2 digits are multiples of 5.
How many multiples of 7 are there?
7*2 = 14
7*14 = 98
So there are 14 - 2 = 12 multiples of 7 in the range.
Such that:
7*5 = 35
7*10 = 70
So there are 2 common multiples of 5 and 7.
Then the total number of 2-digit numbers that are multiples of either 5 or 7 is:
17 + 12 - 2 = 27
If you want to learn more about multiples:
https://brainly.com/question/10749076
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A factory uses 3/4 of a barrel of raisins in each batch of granola bars. Yesterday, the factory
used 1 1/2 barrels of raisins. How many batches of granola bars did the factory make
yesterday?
Answer:
Step-by-step explanation:
3/4 * 2 = 1 1/2
The factory made two batches of granola bars.
Pretty please for a homie
Since the area of the circle is StartFraction pi Over 4 EndFraction the area of the square, the volume of the cylinder equals
StartFraction pi Over 2 EndFraction the volume of the prism or StartFraction pi Over 2 EndFraction(2r)(h) or πrh.
StartFraction pi Over 2 EndFraction the volume of the prism or StartFraction pi Over 2 EndFraction(4r2)(h) or 2πrh.
StartFraction pi Over 4 EndFraction the volume of the prism or StartFraction pi Over 4 EndFraction(2r)(h) or StartFraction pi Over 4 EndFractionr2h.
StartFraction pi Over 4 EndFraction the volume of the prism or StartFraction pi Over 4 EndFraction(4r2)(h) or Pir2h.
Answer:
StartFraction 2 Over h EndFraction = StartFraction 3 Over m EndFraction
StartFraction 2 Over n EndFraction = StartFraction 3 Over h EndFraction
StartFraction 2 Over h EndFraction = StartFraction h Over n EndFraction
Startfraction 2 Over h EndFraction = StartFraction h Over 3 EndFraction
Step-by-step explanation:
Answer:
It's D
Step-by-step explanation:
What is the y-intercept of line 12?
Answer:
y int. of line 1 = 0
y int. of line 2 = 4
Step-by-step explanation:
hope this helps! moo!
Answer:
Answers are below
Step-by-step explanation:
The y-intercept of line 1 is 0 because it crosses the y-axis at 0.
The y-intercept of line 2 is 4 because it crosses the y-axis at 4.
Find tan(a) in the triangle
Any help will be appreciated thank you
Answer:
b 24/25
Step-by-step explanation:
SOHCAHTOA
tan is Opposite over Adjacent sides of the triangle from the perspective of angle A
so the opposite side was 24 and the adjacent side was 25
so the answer is 24/25 aka B
Find five rational numbers between 3/7 and 2/3
PLEASE HELP...... I NEED TO SUBMIT THIS NOW....
Answer:
First, you get both of them with same denominator:
3/7 and 2/3 => 9/21 and 14/21, however, there are only 4 rational numbers between 9/21 and 14/21.
The solution is that you can raise the denominator 2 times:
9/21 and 14/21 => 18/42 and 28/42
Now you can select : 19/42, 20/42, 21/42, 22/42, 23/42. They are a group of 5 rational numbers you are looking for.
6 + V196
4
What’s the two solutions
Answer:
hi
Step-by-step explanation:
Gonna need this in like 5 hrs please help
Answer:
G. Oatmeal is the favorite type of cereal for 15% of the children
Step-by-step explanation:
Oatmeal is 15/50 of the students' favorites, so it would actually be 30% therefore it is not supported. Hope this was helpful! :)
36 + 1.80 + 2.16 I'm stuck
Answer:
39.96 should be the right answer
Answer: 39.96
Step-by-step explanation:
36+1.80=37.80
Then you add 2.16
37.80+2.16=39.96
Consider the following system.
y = 4x - 1
y = -3x + 6
Find the solution by using substitution.
HINT: Equal them to each other, solve for x. Then plug in x to one equation to find y.
Answer:
x=1 y=3
Step-by-step explanation:
y = 4x - 1
y = -3x + 6
Set the two equations to each other
4x - 1 = -3x + 6
Add 3x to each side
4x +3x - 1 = -3x+3x + 6
7x-1 =6
Add 1 to each side
7x-1+1 = 6+1
7x= 7
Divide each side by 7
7x/7 = 7/7
x=1
Now we can find y
y = 4x-1
y = 4(1)-1
y = 3
5. Factor each expression.
a. 15a - 13a
b. -6x – 18y
c. 36abc + 54ad
Step-by-step explanation:
a.)
= 15a - 13a
= a(15 - 13)
= a(2)
= 2a
b.)
= -6x - 18y
= -(x + 3y)
c.)
= 36abc + 54ad
= 6a(6bc + 9d)
Answer:
[tex]a \: ) \: \: 15a - 13a \\ = a(15 - 13) \\ = a(2) \\ = 2a[/tex]
[tex]b) \: \: - 6x - 18y \\ = - 6(x + 3y)[/tex]
[tex]c) \: \: 36abc + 54ad \\ = 9a(4bc + 6d)[/tex]
A swimming pool has a length of 100 meters, a
width of 25 meters and a depth of 4 meters
throughout the whole pool. How much water
can fill the pool?
Answer:
[tex]10000m^{3}[/tex]
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a rectangular prism.The swimming pool takes the shape of a rectangular prism, and we are required to find the volume of the pool.
Given data
length l = 100m
width w= 25m
depth/height h= 4m
We know that the expression for the volume of a rectangular prism is
[tex]volume= length*width*height\\[/tex]
substituting our given data we have
[tex]volume = 100*25*4\\volume= 10000m^{3}[/tex]
Hence the volume of water that can fill the pool is [tex]10000m^{3}[/tex]
How would I write out,10 times a number increased by four is no more than 25 as an inequality?
Answer:
10x + 4 [tex]\geq[/tex] 25
Factor the quadratic expression x2−13x−48.
Please enter your answer in the box below.
Answer:
(x-16)(x+3)
Step-by-step explanation:
What table represent a linear function
Answer: D
Step-by-step explanation:
every time x increases by 1 y increases by 5
hope this helps :3
Carl surveyed his classmates about their favorite colors. The graph shows the survey results. A circle graph titled Favorite Colors. 50 percent is blue, 25 percent is orange, 25 percent is green. Which statements about the circle graph are correct? Check all that apply.
25% of the students said blue was their favorite color.
33% of the students said green was their favorite color.
25% of the students said orange was their favorite color.
50% of the students said either green or orange was their favorite color.
66% of the students said either orange or blue was their favorite color.
Answer: 25% of the students said orange was their favorite color.
50% of the students said either green or orange was their favorite color.
Step-by-step explanation:
The statements about the circle graph are correct;
C. 25% of the students said orange was their favorite color.
D. 50% of the students said either green or orange was their favorite color.
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
Given that circle graph titled Favorite Colors. 50 percent is blue, 25 percent is orange, 25 percent is green.
In total, there are 100 students.
50 %is blue,
25 %is orange,
25 %is green.
Therefore, 25% of the students said orange was their favorite color and 50% of the students said either green or orange was their favorite color.
More can be learned about circle graph at;
https://brainly.com/question/16483602
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Find the surface area of the prism. Write your answer as a decimal.
Answer:
382.5 in²
Step-by-step explanation:
2 triangles + 3 lateral sides
2(½ × 10 × 9) + (10 × 9) + (9 × 9) + (13.5 × 9)
90 + 90 + 81 + 121.5
382.5 in²
Answer:
[tex]382.5 {in}^{3} [/tex]
Step-by-step explanation:
hope this helps
a cone has the height of 20 centimeters and a volume of 4,170 cubic centimeters. what is the area of the base of the cone
Answer:
625.5 cm^2
Step-by-step explanation:
The volume of a cone is
V = 1/3 B h
4170 = 1/3 B 20
4170 = 20/3 B
Multiply each side by 3/20
4170 *3/20 = B
625.5 = B
Hey there! I'm happy to help you!
The formula for the volume of a cone is V=1/3(πr²h). Now, to make it look ungibberishy and all numbery...
The volume of the cone is equal to the area of the base (the circle on the bottom whose area formula is pi multiplied by the radius squared) multiplied by the height and then divided by three.
In our case, though, we already have the volume. We need to undo the equation so that we can find the area of the circle base.
In our equation the last thing we do is divide by three. So, we will want to multiply by three to undo this.
4,170*3= 12510
The other step we took was multiply the base by the height, which is 20 centimeters. To get our base, we will divide by the height instead!
12510/20= 625.5
Therefore, the area of the base of the cone is 625.5 centimeters squared.
I hope that this helps! Have a wonderful day!
I need help to find the volume
Answer:
320
Step-by-step explanation:
To find the volume of a rectangular prism, you simply need to multiply together the width, length, and height. 16*5*4=320 cubic centimeters. Hope this helps!
A hot metal plate at 150°C has been placed in air at room temperature. Which event would most likely take place over the
next few minutes?
Molecules in both the metal and the surrounding air will start moving at lower speeds.
Molecules in both the metal and the surrounding air will start moving at higher speeds.
The air molecules that are surrounding the metal will slow down, and the molecules in the metal will speed up
The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down
Answer:
Molecules in both the metal and the surrounding air will start moving at lower speeds?
Step-by-step explanation:
I'm not sure this is the right answer, because i thought that the air and the metal would be in equilibrium.
So sorry if this is wrong, chemistry isn't my strongest subject.
Answer:
The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down.
Step-by-step explanation:
Luke bought three canvas boxes to store his papers. The canvas boxes have dimensions of 12 inches by 10 inches by 12 inches. What volume of itmes can be the three canva boxes hold?
Given Information:
Number of boxes = 3
Length of boxes = L = 12 inches
Width of boxes = W = 10 inches
Height of boxes = H = 12 inches
Required Information:
Volume of items boxes can hold = ?
Answer:
[tex]Volume = 4320 \: in^{3}[/tex]
Step-by-step explanation:
We are given that Luke bought 3 canvas boxes to store his papers.
We are also provided the dimensions of boxes.
We are asked to find out the volume of items that can be stored by these 3 canva boxes.
A canva box has shape of a rectangular prism and its volume is given by
[tex]Volume = L \times W \times H[/tex]
Where L is the length of the box, W is the width, and H is the height of box.
[tex]Volume = 12 \times 10 \times 12 \\\\Volume = 1440 \: in^{3}[/tex]
So the volume of 3 boxes is
[tex]Volume = 3\times 1440 \\\\Volume = 4320 \: in^{3}[/tex]
Therefore, the 3 canva boxes can store 4320 cubic inches of volume.
Answer:
D) 4,320
Step-by-step explanation:
Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of one wall in her daughter's bedroom?
