Here, the focus of the parabola is (2,0) and directrix is x=−2.
So, equation of parabola will be y2=4ax
Here,a=2.So, Equation becomes,
y2=4∗2x⇒y2=8x, which is the required equation of parabola.
Brainliestt help please
Find a common denominator and then subtract and simplify your answer.
8/9 - 2/3
A.4/9
B.3/9
C.2/9
Answer:
c 2/9
Step-by-step explanation
any answer needed for practice for next subject study
Answer:
The Stores profit is 70% or $59.5
How?
The reason is because if it's selling it for 100% of the price, then that means that the store bought it for 85 dollars, and it's selling it for 85 dollars, and that's 0% profit. But because the store has bought it for 100%, and then it's charging another 70% of the price, so the store's profit is 70%.
Now, we find 70% of 85 dollars, which will be the STORE'S PROFIT AMOUNT!
1. Convert percentages into fractions or decimals
For fraction: divide 70 by 100 and remove the % sign.
[tex]{70}\%=\frac{70}{100}[/tex]
For decimal: move the decimal point 2 places to the left and remove the % sign.
[tex]{70}\%=0.7[/tex]
2. Multiply the decimal or fraction by the quantity that equals 100%
[tex]100[/tex]%[tex]=85[/tex]
[tex]\frac{70}{100} *85=0.7*85=59.5[/tex]
70% of 85 is 59.5Store's profit is $59.5Extra info:
170% of 85 = 144.5
70% of 85 = 59.5
Turtles can live a long time. This stem-and-leaf plot shows the ages (in years) of the turtles in the reptile house of the Kalamazoo Zoo:
A box turtle and a map turtle escape from the reptile house of the Kalamazoo Zoo. The box turtle is older than the map turtle. The average age of the turtles remaining at the zoo after the escape is 1 year less than the average age before the escape.
What is the age of the escaped box turtle?
Answer:
1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67
The average age is 22 yrs
The sum of the ages is 440 yrs
When two of the turtles leave, the average is 21 yrs....and there are 18 turtles left
So....the sum of the ages is 21 * 18 = 378
And the difference in the sums is 62
The only two values that sum to 62 are 26 and 36
So.....the box turtle must have been 36 and the map turtle must have been 26
Step-by-step explanation:
The age of the escaped box turtle is 36 years in the reptile house of the Kalamazoo Zoo.
What is the stem-and-leaf diagram?A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).
This stem-and-leaf plot shows the ages (in years) of the turtles in the reptile house of the Kalamazoo Zoo:
1,1,2,5,6,7,10,10,13, 18, 19, 20, 24, 26, 27, 31, 36, 54, 63, 67
To find the age of the escaped box turtle, we can first find the average age of all the turtles before the escape. To do this, we can add up all the ages and divide by the number of turtles:
(1+1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67)/20 = 26
The average age of the turtles remaining at the zoo after the escape is 1 year less than the average age before the escape, so the average age of the turtles remaining at the zoo is 26 - 1 = 25 years.
To find the age of the escaped box turtle, we need to subtract its age from the average age of the remaining turtles.
Let's represent the age of the box turtle X. We can set up the equation:
(1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63+67 - X)/19 = 25
We can solve this equation by multiplying both sides by 19 and then subtracting 67 from both sides:
1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 - X = 475
Then we can add X to both sides to get:
1+2+5+6+7+10+10+13+18+19+20+24+26+27+31+36+54+63 -X + X = 475 + X
This simplifies to:
X = 36
Therefore, the age of the escaped box turtle is 36 years.
To learn more about the stem-and-leaf diagram click here:
https://brainly.com/question/8450114
#SPJ2
step by step explanations get brainliest. i dont understand how to do it and i need an explanation.
Answer:
[ 22 ]
Step-by-step explanation:
First you gotta add the cubes inside of it to find the volume then the ones outside you have to take them out and slant them then you have to fill the whole thing up and there you go [or you can just add all the numbers together for a easier explanation. ] Sorry if its wrong! ~Bread
Answer:
68 in³
Step-by-step explanation:
To find the volume of the figure, we first need to find the volumes of the 2 triangular prisms and 1 rectangular prism.
Triangular prism
[tex]{\boxed{\text{Volume}= \text{base area ×height}}}[/tex]
The base area here is the area of the triangular face, since it is the face that repeats itself throughout the entire length/height to form the volume of prism.
Base area
= area of triangle
= ½(base)(height)
= ½(2)(3)
= 3 in.
Height= 2 in.
Volume
= 3(2)
= 6 in³
Volume of rectangular prism
Volume
= base area ×height
= length ×breadth ×width
= 14(2)(2)
= 56 in³
Total volume
Volume of figure
= 2(6) +56
= 12 +56
= 68 in³
What is the slant height, s, of the triangular prism?
Round your answer to the nearest tenth.
Image below
Step-by-step explanation:
there is a right angled triangle.
25+4 = 29 = slant ht^2
h = 5.38 units
The figure shown is made of two rectangles.
Vivek is making a perpendicular segment in the middle of segment JR.
First, he drew an arc centered at J.
Then, he used the same radius to draw an arc centered at R.
Next, he found the points where the arcs intersected.
What MUST be true?
Line J R. Point P is above the line and point N is below the line. Arcs centered at J and R go through points P and N.
CLEAR CHECK
P is the same distance from N as J is from R.
PN is equal to JR.
Any point on PN will be equidistant from J and R.
NR is half of JR.
Answer:
Step-by-step explanation:
The correct answer is :Line J R. Point P is above the line and point N is below the line. Arcs centered at J and R go through points P and N.
Joey puts 32 inches of icing around the edge of a round cake. What is the diameter of the cake to the nearest whole number?
We suppose that Joey forms an encasing ring around the round cake, basically going through the entire circumference of the round cake.
As circumference is
What does ! mean in a math problem?
Answer:
Factorial
Step-by-step explanation:
Factorial: Denoted by the exclamation mark (!). Factorial means to multiply by decreasing positive integers. For example, 5! = 5 ∗ 4 ∗ 3 ∗ 2 ∗ 1 = 120.
Hope this helped you<33
ok finally the answer was
(!). 4! simply means that we are taking the product of 4×3×2×1. See some examples below: 1! = 1 2! = 2×1 = 2
14. A machine can print 1,520 pages per hour. How many pages can it print in 15 min?
Answer:
Step-by-step explanation:
1 hour equals 60 minutes
Find out how many pages per minute by dividing 1,520 pages by 60 minutes.
= 25.3333333
Therefore the machine prints 25.333333 pages per minute.
Multiply 25.3333333 by 15 minutes = 380
The machine can print 380 pages in 15 minutes.
You can check your work by finding out how many fifteen minute periods are in an hour (60/15=4), and multiplying 380x4
Since 15x4 is 60 and you can print 1520 pages in 60 minutes, you should be able to multiply 380x4 and get 1520 (spoiler alert! 380x4 is 1,520)
Hope that helped!
A company sells speakers for $23 each.
By the end of the week, they had sold $851 worth of speakers.
Which equation could you solve to find the number of speakers the company sold?
Answer:
You would divide.
Step-by-step explanation:
$851÷ $23= 37
Why is there a 1/2 in this formula for the area of a trapezoid?
A simple answer is that any given trapezoid with height h and length of the parallel lines a and b, is half of a parallelogram with an area of (a+b) x h. Since the trapezoid is half of this, it is h(a+b)/2
Helpp me pls I'm struggling
Answer:
B. 2nd Play and B. 2nd Play
Step-by-step explanation:
#1) Going negative means going backwards.
-8<10.5
#2) Absolute value means making all numbers INSIDE the two lines positive.
I-8I = 8
I10.5I = 10.5
question: the solutions of a quadratic equation are x=-7 and 5. which could represent the quadratic equation and why?
Answer:
B) x²+2x-35=0; the factors are (x+7)(x-5)
Step-by-step explanation:
The quadratic equation which has the solutions as x = -7 and 5 may be x² + 2x - 35 = 0, the factors are (x + 7) and (x - 5) and (x + 7)(x - 5) = x² + 2x - 35.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given that,
a quadratic equation has the solutions x = -7 and 5.
There are two options, x² + 2x - 35 and x² - 2x - 35
Using the factorization method, a quadratic equation ax² + b x + c = 0 can be factored as (x + p)(x + q) where pq = c/a and p + q = b/a.
Consider, x² + 2x - 35 = 0
There are numbers 7 and -5 that 7 - 5 = 2 and 7 × -5 = -35
So it can factored as,
(x + 7) (x - 5) = 0
Solutions are x = -7 and x = 5
Hence the quadratic equation is x² + 2x - 35 = 0.
Learn more about Quadratic Equations here :
https://brainly.com/question/30098550
#SPJ2
the answer to this, i don’t understand it
Answer: the answer should be 9.22
Step-by-step explanation:
the formula is a^2 +b^=c ^
So 49 plus 36 equals 85
And the square root of 85 is 9.22
please help! I will give brainliest
The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work. (4 points—1 point for each length calculation and 1 point for the total distance)
Is the value you just wrote for the total length of the walkway a rational or irrational number? Explain. (2 points)
Answer:
1) The length of the entire walkway to the nearest hundredth of a yard is 50.24 yds
2) 50.24 is a rational number
Step-by-step explanation:
1) To calculate the length of the walkway, you need to find "b"
the value of b using the Pythagoras theorem can be written as,
D²=12²+b²
15²=12²+b²
225=144+b²
b²=81
b=9
the value of each of the four hypotenuses can be written as,
A = [tex]\sqrt{12^2+8^2}[/tex] = [tex]\sqrt{208}[/tex] = 14.422
B = [tex]\sqrt{6^{2} +8^{2} }[/tex] = [tex]\sqrt{100}[/tex] = 10
C = [tex]\sqrt{6^2+9^2}[/tex] = [tex]\sqrt{117}[/tex] = 10.82
D = 15
Adding the value of all the hypotenuse to get the length of the walkway, therefore, the length will be,
14.422 + 10 + 10.82 + 15 = 50.24
So, the entire walkway to the nearest hundredth is 50.24
2) Because Irrational numbers are ones that never end.
50.24 is a nice, round number, even though its a decimal.
Answer:
50.24 - rational number
Step-by-step explanation:
PLEAAAAAAAAAAAASEEEEEEEEEEEEE HELP!!!!!!!!! | In your own words, describe when you should use area, and when you should use volume in calculating the amount of space an object occupies.
The amount of space an object occupies is known as volume.
What is the area?The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.
What is the volume?Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.
The amount of space an object occupies is known as volume.
More about the volume and area link is given below.
https://brainly.com/question/15585435
#SPJ3
Please help me with this I would give you 50 points.
Answers for #5
- s/10
- 8*b
- h+7
- 3*r-8
Question 6
62 miles/hour x 4 hours = 248 miles traveled
whats the answer to this
Answer: About 9.2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem. We are solving for the hypotenuse which is the "c" variable in the formula.
a² + b² = c²
7² + 6² = c²
7² + 6² = c²
49 + 36 = c²
85 = c²
[tex]\sqrt{85}[/tex] = c
9.2 ≈ c
PLEASE HELP!!! I NEED AN EASY ANSWER!!!
Item 19
A survey asked 200 campers to choose their favorite activity. The results are displayed in this circle graph.
How many campers chose basketball as their favorite activity?
26 campers
36 campers
44 campers
58 campers
Answer:
C. There would be 44 Campers who like basketball.
Step-by-step explanation:
When you divide 200 and 22% you get 44. 44 campers like basketball
7. A machine produces 900 light bulbs in 1 hour.
The rate is ___________ light bulbs per minute.
Answer:
15
Step-by-step explanation:
900 light bulbs per hour
60 minutes per hour
X lightbulbs per minute
Divide 900 lightbulbs by 60 minutes
15
The rate is 15 light bulbs per minute
Harper wants to put wood shavings in her rabbit's cage. The floor of the cage measures 1 yard wide by 6 feet long. One bag of shavings cover 10 square feet.
How many bags will Harper have to buy to cover the floor of the cage? Explain
Harper will have to buy _____ bag(s) to cover the floor because the area of the floor is _____ square foot/feet.
Help please :-(
Answer:
she would need 2 bags because it is 18 but covers 10 square feet
Step-by-step explanation:
Width = 1 yard = 3 feet
Length = 6 feet
Square feet(area) of the floor = 6ft × 3ft = 18sqft
1 bag = 10sqft
x bag = 18 sqft
x bags = (18 × 1)/10
= 1.8 bags
2 bags
which one could it be I don´t understand circumference nor pie
Answer:3
Step-by-step explanation:
Uhm does anyone know the answers?
A B E
.
..
.
.
.
.
...
.
.
..
.
.
.
.
..
Answer:
Use the FOIL Method
Step-by-step explanation:
A: 5.9a + 2.2b
B: 5.9a + 5.6b
C: 5.9a - 5.6b
D: 5.6b - 5.9a
E: 5.9a - 5.6b (This is it’s simplest form)
So as you can C and E are equalivalent, so these are your answers.
Mark me brainliest if this was correct :)
i need help on this- nothing is right for me
Answer:
5. Area = 28.5 cm; 6. Area = 544,500 cm
Step-by-step explanation:
Area = Length×Width
5. You have to convert the mm to cm by dividing the mm by 10. Then just multiply the length and width.
6. Same thing; different unit, convert the m to cm (or vice versa, not sure which unit you need to answer in) and multiply the length and width.
Answer:
5. Area = 28.5 cm; 6. Area = 544,500 cm
Step-by-step explanation:
H) A bar graph shows the favorite food of 20 people.
Does it make sense to describe the distribution of
these data?
Explain.
Answer:
No
Step-by-step explanation:
The data is discrete and so there would be nothing to compare in terms of distribution as there are no similarities between the different categories.
PLEASE HELLLP i will give you brainiest points and everything!!!!
Answer:
A = 8cm
B = 11cm
C = 4cm
D = 4cm
(b)
11x4=32
11x4=32
8x11=88
8x11=88
88+88+32+32=240 (i think)
(c)
240
8x4=32
8x4=32
240+32+32=302
Step-by-step explanation:
15. The regular price of a massage chair was $550. During a sale, FioN bought the massage chair at a 40% discount. How much did FioN pay for the massage chair?
Answer:
they paid 220
Step-by-step explanation:
The cost of a cleaning service includes labor and supplies. Supplies are 30% of the total cost. The cost of supplies for a certain cleaning service is $54.
What is the total cost of the cleaning service?
Enter your answer in the box.
Answer: $37.8
Step-by-step explanation: To find the cost of the supplies we multiply $54 by .3 (the decimal version of 30%). The total is 16.2 . If we subtract this from the total amount we find the cost of the cleaning service. 54-16.2 = 37.8
