Answer:
y = -2 +sqrt(7)
y = -2 - sqrt(7)
Step-by-step explanation:
y^2 +4y +4 = 7
Factor, recognizing that this is the sum of squares
a^2 +2ab+b^2 = (a+b)^2
(y+2) ^2 = 7
Take the square root of each side
sqrt((y+2) ^2) =± sqrt(7)
y+2 = ± sqrt(7)
Subtract 2 from each side
y+2-2 = -2 ± sqrt(7)
y = -2 ± sqrt(7)
Answer:
C)
Step-by-step explanation:
-2+sqrt(7) ≈ 0.649
-2-sqrt(7) ≈ -4.646
each are x-intercepts
Find the surface area.
Any help will be appreciated. Thank you
Answer: 144 units squared
Step-by-step explanation:
Rec- 3 x 11 = 33
Rec- 4 x 11 = 44
Rec- 5 x 11 = 55
Tri- 3 x 4 = 12 12/.5 = 6
Tri- 3 x 4 = 12 12/.5 = 6
33 + 44 + 55 + (6 x 2)
33 + 44 + 55 + 12 = 144
Consider this right triangle with the given measures.
A triangle has side lengths 5 inches and 12 inches. The hypotenuse is unknown.
What is the length of the hypotenuse?
1. 52 + 122 =c2
2. 25 + 144 =c2
3. 169=c2
c=
Answer:
c=13
Step-by-step explanation:
You then square root both sides of the equation and the square root of 169 is 13.
Hope this helps! :)
Answer:
c is 13
Step-by-step explanation:
trust me bro
Evaluate the expression 3 x
{10 +1} +5.
Answer:
38
Step-by-step explanation:
3 x {10 +1} +5.
PEMDAS
Parentheses first
3 x {11} +5.
Then multiply and divide
33+5
38
Answer:
38
Step-by-step explanation:
3 x {10 +1} +5 Following PEMDAS, solve in the parentheses
3 x 11 + 5 Multiply 3 x 11
33 + 5 Add
38
What is the sum of the geometric series 2+6+18+...+486?
Answer:
728
Step-by-step explanation:
2+6+18+...+486
a=2
r=6/2=3
[tex]a_{n}=ar^{n-1}\\486=2(3)^{n-1}\\3^{n-1}=486/2=243=3^5\\n-1=5\\n=5+1=6\\S_{6}=2\frac{3^6-1}{3-1} \\=2\frac{729-1}{2}\\=728[/tex]
Determine the slope and y-intercept. 4x + y = -10
Answer:
slope = -4
y-intercept = -10
Step-by-step explanation:
First, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 4x from both sides:
4x + y = -10
4x (-4x) + y = -10 (-4x)
y = -4x - 10
Note the slope intercept form: y = mx + b
y = y
m = slope = -4
x = x
b = y-intercept = -10
Answer:
slope m=-4
y intercepts (0,-10)
Step-by-step explanation:
Eric created a rectangular patio 1 ft.² paving stones which are sold in batches by a dozen the patio measures 7‘ x 8‘ how many batches of Pavingstone did Eric need
Answer:
The number of batches of paving stones Eric needs is 5 batches
Step-by-step explanation:
Here we have the size of of one paving stone = 1 ft²
The dimensions, size, of one patio = 7 ft × 8 ft = 56 ft²
Therefore, the number of paving stones Eric needs per patio is given by the relation;
[tex]Number\, of\ paving\ stones \ required =\frac{size\, of \, one\, patio}{size \, of \, one\, paving\, stone} = \frac{56 \, ft^2}{1 ft^2/(paving \, stone)} = 56 \, paving \, stones[/tex]
Since the paving stones are sold in batches of one dozen, we have ;
4 batches = 48 paving stones and 5 batches = 60 paving stones
Therefore, the number of batches of paving stones Eric needs = 5 batches.
The feeder in the Example had 16 fl oz of food in it to start. How much food does it
have now? Show your work.
Amount of food in feeder at end is (16 - a) fl oz
Given that;
Amount of food in feeder in starting = 16 fl oz
Find:
Amount of food in feeder at end
Computation:
Assume;
a fl oz eats by animals
So,
Amount of food in feeder at end = 16 - a
Amount of food in feeder at end = (16 - a) fl oz
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Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$93,996
Step-by-step explanation:
i = prt
i = ($53,712)(.15)(5)
i = $40, 284
$40, 284 + $53,712
$93,996
Answer:
$92996
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 53712 × 15/100 × 5
I = $40284
He has = 40284 + 53712 = $93996
I really need help on this, please help out
Answer:
x+y= idk
Step-by-step explanation:
sorry i need the points
Answer:
15
Step-by-step explanation:
so you know that the hypotenuse for the triangle with "x"'s is 5 square root two, and because we know that the triangle is an isoceles triangle we know the other two side are equal and as a result x=5. Now for the next triangle it is 5 square root 2 on both sides and that is also an isoceles triangle and y is the hypotenuse so it 5 square root 2 times square root 2 which just becomes 2 so then it is 5 times 2 which is 10. So Y=10 and X=5 so X+Y=15.
Today, everything at a store is on sale. The store offers a 20% discount.If the regular price of an item is x dollars, what is the discount price in dollars? Type the correct expression in the box below.
Answer:
0.80x dolllars
Step-by-step explanation:
20% discount of the total amount is
0.20 * x dolllars
So if you start with x dollars you need to subtract the discount to get the new (lower ) price.
x - (0.20 * x) dolllars
1* x - 0.20 * x
x * 1 - 0.20 * x
x * ( 1 - 0.20 )
x * ( 0.80 )
0.80x dolllars
Which of the following is the graph of y = sin(0.5x)?
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 24 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 2 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 1 cycle at 8 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi.
Answer: On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi.
Step-by-step explanation:
The function is y = sin(0.5*x)
We know that sin(0) = 0, so this graph must pass trough the point (0,0)
We know that the maximum of the sin(x) is 1, when x = pi/2. and the minimum is -1 when x = (3/2)*pi
but in our case the function is valuated in 0.5*x
then the maximum is when:
0.5*x = pi/2
x = pi/(2*0.5) = pi
and the minimum is when
0.5*x = (3/2)*pi
x = 3*pi
Now, knowing that sin(2*pi) = 0
The other 0 of the sin is when we have 0.5*x = 2*pi
x = 2*pi/0.5 = 4*pi
this means that in 4*pi we have one cycle, then in 8*pi we have tow cycles.
Then the correct option is:
"On a coordinate plane, a curve crosses the y-axis at (0, 0). It has a maximum of 1 and a minimum of negative 1. it goes through 2 cycles at 8 pi."
Answer:
d
Step-by-step explanation:
what is the median of the following number: 40, 49, 62, 56, 68, 39, 50, 61, 54, 44
Answer:
52
Step-by-step explanation:
39, 40, 44, 49, 50, 54, 56, 61, 62, 68
39, 40, 44, 49, 50, 54, 56, 61, 62, 68
[tex]\frac{50 + 54}{2}[/tex] = [tex]\frac{104}{2}[/tex] = 52
Answer:
52
Step-by-step explanation:
one person has corona virus then ten more people catch it how many people have corona virus
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
1 - Person already infected
10 - People who got the virus
1 + 10 = 11
What is the GFC of 15 and 57. Plz tell me I need help
Step-by-step explanation:
3
Urgent. Explain in words, how you would plot (0, 4) on a coordinate plane.
Answer:
in the ordered pair, (0,4), the zero represents the x number, meaning that you would not move in any direction on the x axis( it stays on the origin). the 4 means you will move 4 units up the y axis. in the end you will have one point that in 4 units up from the origin.
Step-by-step explanation:
Which set of three angles could represent the interior angles of a triangle?
A:199, 709, 910
B:470, 120, 310
C:50°, 20° 20°
D:250, 250, 100%
Answer: B
Step-by-step explanation:
Alex surveyed his classmates to determine who has been surfing and who has been snowboarding. Let A be the event that a classmate HAS snowboarded and let B be the event that a classmate HAS surfed.
If Alex picked a classmate at random, what is P(B/A) ?
A. 4/21
B. 3/4
C. 4/25
D. 25/28
Answer:
surburu
Step-by-step explanation:
Answer:
B. [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
I got this question correct. :)
A: SnowboardedB: SurfedP(B|A) = P(A and B) / P(A)P(Surfed|Snowboarded) = P(Surfed and Snowboarded) / P(Snowboarded)
Amount surfed and snowboarded: 36Total amount snowboarded: 48P(B|A) = [tex]\frac{36}{48}[/tex] = [tex]\frac{3}{4}[/tex]
Apologies for lack of explanation, but I think this will do it.
hi I need some help...
-6y + 17 = 3y -10
Answer:
y=3
Step-by-step explanation:
Solve by subtracting
[tex]-6y + 17 = 3y -10\\-6y=3y-27\\-9y=-27\\[/tex]
Divide.
[tex]-9y=-27\\y=-27/-9\\y=3[/tex]
Answer:
3
Step-by-step explanation:
Measure of angle r is 22. Find the measure of angle 0
A torch and a battery cost £2.50 altogether.
The torch costs £1.50 more than the battery.
What fraction of the total price is the torch?
Give your answer in its simplest form.
PLEASE CHECK UR ANSWER
Answer:
1 1/2 i think
Step-by-step explanation: to find out the batteries price you subtract 2.50 from 1.50 and get 1 then convert to fractions so 1 1/2 and 1 and when you add them together you get the total price so the torch accounts for 1 1/2 of the total price.
Chloe purchased 4 apps online. She paid 6% in sales tax. Her total cost was $4.24. What was the price of each app, not including the sales tax?
Lizzie goes to the Lakeside Mall with friends. She spends $25 and returns home with $45. How much money dd in dollars does Lizzie start with? Write an equation to show the amount of money Lizzie starts with.
Answer:
$25+$45=$70
Step-by-step explanation:
The only thing you have to do is add $25 and $45 hope this helps :)
what is the domain and range of this graph?
Answer:
Domain- {-2,2}
Range-{-3,2}
Step-by-step explanation:
Find each boundary of the line and make the corresponding points because its a continuous line.
* Approximate the value of V5 to the nearest hundredth.
Answer:
2.24
Step-by-step explanation:
If you mean sqrt(5), then the answer is 2.236, which rounds to 2.24
I'm going to assume you mean √5.
√5 is not a perfect square but it can evaluated into a non-terminating decimal.
√5 = 2.23606797...
Round to the nearest hundredth.
2.23606797... → 2.24
Therefore, the answer is 2.24
Best of Luck!
Raphael surveyed his coworkers to find out how many hours they spend on the Internet each week.
The results are shown below.
14, 22, 10, 6, 9, 3, 13, 7, 12, 2, 26, 11, 13, 25
Drag numbers to record the frequency for each range in the table.
Numbers may be used once, more than once, or not at all.
01234567
Hours on the Internet
Hours Frequency
0–4
5–9
10–14
15–19
20–24
25–29
I WILLL MAKE BRAINLIEST AND GIVE THEM ALL MY POINTS AND GIVE THEM % STARS AND A LIKE IF YOU ANSWER THESE TWO QUESTIONS ASAP NOW!!!!!!!!!!!!!!
The histogram shows the scores on a recent science test.
Using the histogram, select all of the true statements that describe the data.
Histogram named as
The frequency of each range in the table is as follows:-
Range Frequency
[tex]0-4[/tex] [tex]2[/tex]
[tex]5-9[/tex] [tex]3[/tex]
[tex]10-14[/tex] [tex]6[/tex]
[tex]15-19[/tex] [tex]0[/tex]
[tex]20-24[/tex] [tex]1[/tex]
[tex]25-29[/tex] [tex]2[/tex]
FrequencyThe frequency of a particular value is the number of times the value occurs in the data.
How to find the frequency of a particular value?First, find the number of times the particular value occurs in the given data.
Given, Raphael surveyed his co-workers to find out their spent hours on the internet each week.
The results are:-
[tex]14,22,10,6,9,3,13,7,12,2,26,11,13,25[/tex]
Thus, the number of occurence of a particular range can be written as follows:-
Range Hours in given data Frequeny
[tex]0-4[/tex] [tex]3,2[/tex] [tex]2[/tex]
[tex]5-9[/tex] [tex]6,9,7[/tex] [tex]3[/tex]
[tex]10-14[/tex] [tex]14,10,13,12,11,13[/tex] [tex]6[/tex]
[tex]15-19[/tex] [tex]0[/tex] [tex]0[/tex]
[tex]20-24[/tex] [tex]22[/tex] [tex]1[/tex]
[tex]25-29[/tex] [tex]26,25[/tex] [tex]2[/tex]
Hence, the frequency of each range in the table is as follows:-
Range Frequency
[tex]0-4[/tex] [tex]2[/tex]
[tex]5-9[/tex] [tex]3[/tex]
[tex]10-14[/tex] [tex]6[/tex]
[tex]15-19[/tex] [tex]0[/tex]
[tex]20-24[/tex] [tex]1[/tex]
[tex]25-29[/tex] [tex]2[/tex]
#Learn more about the frequency here-
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A cylinder and it’s dimensions are diameter 8.4cm and height 10.9cm. Which measurement is closest to the lateral surface area of the cylinder in square centimeters
Answer:
287.64
Step-by-step explanation:
2πrh is the formula you use for the lateral surface area.
to get radius, we know its half of the diameter so 4.2.
plug them in and you get your answer :)
A basketball has a circumference of 31.4 inches. Using 3.14 as an approximation for pie, what is the basketball's volume to the nearest cubic inch?
Answer:
0.52 cubic inches
Step-by-step explanation:
Given: circumference of a basketball is 31.4 inches.
[tex]\pi =3.14[/tex]
To find: basketball's volume to the nearest cubic inches
Solution:
circumference of a basketball (sphere) = 6.28(radius)
Also, circumference of a basketball = 31.4 inches.
So, 6.28(radius) = 3.14
radius = [tex]\frac{3.14}{6.28}=\frac{1}{2}[/tex] inch
Volume of the basketball (sphere) = [tex]\frac{4}{3}(\pi )(radius)^3=\frac{4}{3}(3.14)(\frac{1}{2})^3=0.52\,\,cubic\,\,inches[/tex]
You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 555 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from.
If you randomly choose your character and tool, what is the probability that you won't be a hobbit or use an umbrella?
Answer:
There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.
Find the area of the parallelogram
Answer:
17.94
Step-by-step explanation:
Area of a parallelogram is base times height.
Base: 3.9 in
Height: 4.6 in
3.9x4.6=17.94
A hemisphere has a diameter of 48 inches. What is the volume of the
hemisphere? Use 3.14 for and round to the nearest tenth.
Answer:
9,216π or 28,938.2 meters³
Step-by-step explanation:
Given: diameter 48 inches
Radius 24 inches
Note:
Volume of hemisphere = volume of sphere / 2
Volume of hemisphere = 1/2 • 4/3 • πr³
= 1/2• 4/3×π×24³
= 1/2•18432π
= 9,216π
= 28,938.2 meters³