Answer:
x=3.5
Step-by-step explanation:
To make DEF similar to XYZ, the sides have to be in the same ratio. EF corresponds to YZ. EF=3, and YZ=4.5. The ratio 3:4.5 can be simplified to 2:3. Side DF corresponds to XZ. DF=7 and XZ=3x. So, the ratio is 7:3x.
To find x, we first find out what 3x is. In this case 3x is 3(7/2)=10.5. So, x=10.5/3=3.5.
why does the quadratic formula work all the time
the quadratic formula work all the time because it is suitable for every equation.
I ready linear models choose the line that is the best fit for the data
Answer:
The Answer is lime 2 if not line 4
Step-by-step explanation:
YEp:)
A new online music service has a collection of 1,500 songs. It expects to triple the number of songs each year for the next few years. Write an equation representing the relationship, where x is time in years, and y is the number of songs available.
Answer: y = (3^(x-1))*1500
Step-by-step explanation:
We want the relationship
y = f(x)
where y is the number of songs, and x is the number of years.
We know that in the first year, x = 1, the site has 1,500 songs.
The next year, x = 2, the number of songs is tripled, then we will have:
1,500*3 = 4500 songs.
The next year, x = 3, we will have: 3*(3*1500) = (3^2)*1500.
when x = 4, the number is tripled again:
3*(3^2)*1500 = (3^3)*1500
We already can see the pattern, for the year x, the site will have:
y = (3^(x-1))*1500 songs.
This is the equation we are looking for.
The current in a stream moves at a speed of 5 km/h. A boat travels 20 km upstream and 20 km downstream in a total of 3 hours. Find the speed of the boat in still water.
Answer:
14
Step-by-step explanation:
im right
Express as a trinomial.
(x – 3)(3x – 8)
Please do this ASAP i need HELP
Answer:
3x^2 - 17x + 24
Step-by-step explanation:
(x – 3)(3x – 8)
3x^2 + (-8x) + (-9x) + 24
3x^2 - 17x + 24
On day 1 Vampire
Olly slept 5 hours. On
day 2 he slept 7 hours.
By what percent did he
increase his sleeping?
Answer:
40%Step-by-step explanation:
Initial number of hours = 5Increased number of hours = 7Change:
7 - 5 = 2Percent change:
2/5*100% = 40%3-6 x (34 divided by 30)2
Answer:
3-6
Step-by-step explanation:
The expression 3⁻⁶ × (3⁴ ÷ 3⁰)² value is 9 which is 3².
To simplify the given expression: 3⁻⁶ × (3⁴ ÷ 3⁰)², let's break it down step by step:
First, let's simplify the exponent expressions within the parentheses:
3⁴ = 81 (because 3⁴ = 3 × 3 × 3 × 3 = 81)
3⁰ = 1 (because any number raised to the power of 0 is 1)
Now, we can rewrite the expression with the simplified exponents:
3⁻⁶ × (81 ÷ 1)²
Next, simplify the division within the parentheses:
81 ÷ 1 = 81
Now, the expression becomes:
3⁻⁶ × 81²
Simplify the exponent:
81² = 6561 (because 81 × 81 = 6561)
Now, the expression becomes:
3⁻⁶ × 6561
1/729 × 6561
6561/729
dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 9:
729/81
We get 9 which is equal to 3².
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A skyscraper that stands 620 feet cast of shadow that is 125 feet long. What is the ratio of the shadow to the height of the skyscraper?
plssss help
answer it plssssssssss
What is 14 + 6 =
+11
Since, 14 + 6 = 20
Therefore, 14 + 6 = 9 + 11
dont forget to like and mark me
Answer:
31
Step-by-step explanation:
A decagon.
Gregory drew this regular decagon. All angles have the same measure.
What is the sum of the interior angle measures?
°
What is the measure of each angle?
°
Answer:
78
Step-by-step explanation:
Answer:
1440 and 144 on edg 2020-2021
Step-by-step explanation:
I can't figure it out
Answer:
V = 17,371.8
Step-by-step explanation:
V = π r^2 h
V = π (12)^2 (38.4)
V = 17,371.75073729
V = 17,371.8
You have to calculate the area of the base of the cylinder (the circle) by using the formula π r^2, r = the radius of the circle. You are squaring the r because r^2 = diameter. The formula to get the area of a circle is π r ^2. To get the volume you need to multiply the area of the circle by the height of the cylinder. All together the total formula to get the volume of a cylinder is π r^2 h
An English teacher reviewed 2/3 of an essay in 1/4 of an hour. At this rate, how many essays can she review in 1 hour?
Answer: 2 2/3
Step-by-step explanation:
Answer:
2 2/3
Step-by-step explanation:
hlp help help plsssssssssssss
Answer:
A
Step-by-step explanation:
Think about the square root of 64, which is 8. It will only be slightly higher than 8, which will not even be .5, so 8 is the closest number.
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What is the value of f(x) = 4x -9
Answer:
F= 1 /4 y+ 9 /4
Step-by-step explanation:
brainliest?
if h(x) = 3(x + 6), find h(-1).
a.3
b.9
c.15
d.21
hi help w/ this question pls i'll give u a brainly
Answer:
Keep adding 8 56 times subtract three which is 472
Step-by-step explanation:
mulitiply 59 times 8
factor this trinomial in standard form 2n^2 + 7n + 5
Answer:
Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored. Equation at the end of step 2 : 2n2 - 7n - 5 = 0. Step 3 : Parabola ...
Step-by-step explanation:
5/7+1/2+3/4
i need help please
Answer:
1.96428571429
Step-by-step explanation:
Answer:
55/28
Step-by-step explanation:
5×2+7/14+3/4
17/14+3/4
68+42/56
110/56
55/28
is it possible to have the ordered number pair 3;7 on the graph
Answer:
Yes it is possible. Start at (0,0) which is the orgin and go right on the x-axis 3 spaces, and go up on the y-axis 7 spaces to get to the ordered pair of (3,7).
Step-by-step explanation:
If Thomas maintains a rate of 20 miles per hour riding his bicycle in a rally that covers 24 miles, how long will it take him to complete the race?
O 2 hours
O 1.2 hours
O 0.8 hours
O 2.4 hours
Answer:
1h=20m
60/4
0,25min+1h
1+0,25
=1,2
He will complete the race in 1.2 hours time.
Hence, option B is correct.
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that,
The distance completing in 1 hour = 20 miles
So 1 miles of distance is covered in = 1/20 hours
It is also given that,
The distance of rally = 24 miles.
Therefore,
The time taken to cover 24 miles = 24/20
= 1.2
Thus,
The required time = 1.2 hours
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Martin recorded the low temperatures at his house for one week. the temperatures are shown below -
-7, -3, 4, 1, -2, -8. 7
Approximately what was the average low temperature of the week?
Answer:
The average temp was 4
Step-by-step explanation:
please help!!!!! simplify
Answer:
Pretty sure it's B
Step-by-step explanation:
are these proportional?
3/2 and 18/8
Answer:
For two fractions to be proportional, they must be equivalent. 32=1.5 and 188=2.25 , so these fractions are not proportional.
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST HELP QUICK!!
Answer: Your Answer would be A
Step-by-step explanation:
Which represents a quadratic function?
Answer:
B
Step-by-step explanation:
a is a cubic. A cubic is an equation that has 3 on its base x to become x^3 as it's highest power. That is not a quadratic. A cubic and a quadratic are not the same thing.
b is a quadratic The highest power is 2 on the base (x) to become x^2. That is how a quadratic is defined.
c is a reciprocal. It has its highest power in the denominator, and that is not a quadratic. A quadratic is an equation whose highest power is 2 on its base (x) and whose highest power is in the numerator, not the denominator. This choice is rather tricky because the quadratic formula can be used on it if you change x = 1/z. Then the equation becomes f(x) = 4z^2 - 2z + 1. But as it is given and likely as you have been told, this is not a quadratic. This will factor into (2z - 1)(2z - 1). If I were a student, I'd question this one. It would be interesting to see how your instructor would eliminate it.
d is just a linear function. Since x^2 is multiplied by 0, it disappears. What is left is f(x) = -9x + 7 which is a linear function.
Please Answer This, the question is on the picture. it needs to be a fraction
will mark brainllest if its right, no links!
Answer:
x = 19.48 or 19 12/25
Step-by-step explanation:
cos 41° = 14.7/x
x = 19.48 or 19 12/25
a cone and a cylinder have equal radii,r, and equal altitudes, h. If the slant height is l, then what is the ratio of the lateral area of the cone to the cylinder?
The ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.
What are a cone and a cylinder?The solid formed by two congruent closed curves in parallel planes along with the surface created by line segments connecting the corresponding points of the two curves is known as a cylinder.
A cylinder with a circular base is known as a circular cylinder. Based on the form of its base, a cone is given a name.
It is given that a cone and a cylinder have equal radii,r, and equal altitudes, h. The ratio of the lateral surface area of the cone to the cylinder will be calculated as below:-
The lateral area of the cone = πr√(h²+r²)
The lateral area of the cylinder = 2πrh
The ratio will be calculated as:-
R = πr√(h²+r²) / 2πrh
R = √(h²+r²) / 2h
Therefore, the ratio of the lateral area of the cone to the cylinder will be √(h²+r²)/2h.
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67 is 42% of what number?
Answer:
28.14
Step-by-step explanation: