Answer:
i) [tex]2.2 * 10^{-7[/tex]
ii) [tex]6.4 * 10^{-5[/tex]
What is the range of the function graphed below?
Answer:
C.
[tex] - \infty < y < \infty [/tex]
Find the Area of the figure below, composed of a rectangle and two
semicircles. Round to the nearest tenths place.
13
10
Answer:
[tex] 208.5 \: {units}^{2} [/tex]
Step-by-step explanation:
Area of the figure = Area of rectangle with dimensions 13 by 10 units + Two times the area of one semicircle with radius (10/2 = 5) 5 units.
[tex] = lb + 2 \times \frac{1}{2} \pi {r}^{2} \\ = 13 \times 10 + 3.14 {(5)}^{2} \\ = 130 + 3.14 \times 25 \\ = 130 + 78.5 \\ = 208.5 \: {units}^{2} [/tex]
Of six Kokomuka (Hebe Elliptica) seedlings, four have survived the winter.
What percentage of the seedlings survived?
Answer:
66.7%
Step-by-step explanation:
The number of seedlings planted is 6, while the number of seedlings that survived the winter is 4. Therefore the percentage of seedlings that survived can be gotten using the formula:
Percentage of seedlings survived = (survived seedlings / total seedlings planted) * 100%
Therefore substituting values gives:
Percentage of seedlings survived = (4 / 6) * 100% = 66.7%
Here are two sets of numbers, a and b. Set a :200,104,100,160. Set b: 270,400,483,300, x. Mean of set a: mean of set b= 3:8. Work out the value of x
Given:
The given sets are:
Set a : 200, 104, 100, 160.
Set b: 270, 400, 483, 300, x.
Mean of set a: mean of set b= 3:8
To find:
The value of x.
Solution:
Formula for mean:
[tex]Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}[/tex]
The mean of set of a is:
[tex]Mean=\dfrac{200+104+100+160}{4}[/tex]
[tex]Mean=\dfrac{564}{4}[/tex]
[tex]Mean=141[/tex]
The mean of set of b is:
[tex]Mean=\dfrac{270+400+483+300+x}{5}[/tex]
[tex]Mean=\dfrac{1453+x}{5}[/tex]
[tex]Mean=\dfrac{1453+x}{5}[/tex]
It is given that,
Mean of set a: mean of set b= 3:8
[tex]\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}[/tex]
[tex]\dfrac{705}{1453+x}=\dfrac{3}{8}[/tex]
[tex]8\times 705=3\times (1453+x)[/tex]
[tex]5640=4359 +3x[/tex]
Isolate the variable x.
[tex]5640-4359 =3x[/tex]
[tex]1281 =3x[/tex]
Divide both sides by 3.
[tex]\dfrac{1281}{3} =x[/tex]
[tex]427 =x[/tex]
Therefore, the value of x is 427.
Express $90 as a decimal
Find the volume of this cone.
Use 3 for TT.
V = T12h
3
V ~ [?]in3
sin
3in
HELP
EMEEEEEE
Answer:
18 is the answer
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Simplify the expression. Write your answer as a power.5^8
5^5
Answer:
5^13
Step-by-step explanation:
when multiplying numbers with the same base, you add the exponents
Answer:
5^13
Step-by-step explanation:
5^8 = 390625
5^5= 3125
Since you have to write you answer as a power you would do 5^8+5^5= 5^13
Identify the slope of the line
y=-4- 1/6x
Find the volume and surface area of a sphere with a radius of 6cm.
PLS HELL
please tell me the answer and explain how you got it ty
Answer:
7
Step-by-step explanation:
So basically, there are 4 segments: 15-30, 30-45, 45-60, 60-75.
There is also a list of values.
If these values fall between 15-30, for example, it is considered a freqeuncy of 1.
If a second value also falls between 15-30, it is considered to then have a frequency of 2.
Every value that falls under a range of values, such as 15-30, is counted as a freqeuncy of 1.
So, lets look at 15-30.
There is a freqeuncy of 3.
This means that 3 values were in between 15 and 30,
Now, we need to know how many values were above 30.
This means we do not count values that are in the 15-30 segment.
However, we do want to look at the freqeuncy in 30-45, 45-60, and 60-75.
In 30-45 we have a frequency of 3.
In 45-60 we have a frequency of 2.
In 60-75 we have a frequency of 2.
To find the amount of values above 30, we must add these all together:
3+2+2
=
7
So 7 values have a price above 30!
Hope this helps!
In ΔBCD, the measure of ∠D=90°, CB = 53, BD = 45, and DC = 28. What ratio represents the sine of ∠B?
Answer: 28/53
Step-by-step explanation:
trust me bro
The ratio that represents the sine of ∠B is 15/17.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Since the triangle has a right angle, we can find the length of the unknown side using the trigonometric notations SOH CAH TOA where;
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
With respect to ∠B given that ∠D=90°,
BD is the adjacent side and CB is the hypotenuse side, DC is the opposite side
Hence ,Sin B = 15/17
Learn more about trigonometric;
https://brainly.com/question/21286835
#SPJ2
Find each missing measure.
Answer:
m<A = 84
AC = 9
Step-by-step explanation:
We can find the measure of Angle A by using the sum of interior angles of a triangle theorem.
48+48+A=180
96+A=180
A=84
We can then use the isosceles triangle similarity theorem and reason that since this is an isosceles triangle and one of the side lengths (AB) is 9, the other (AC) would also be 9.
Write a direct proportion equation
that shows the price (y) for any
number of posters (x) that are $2.50
each.
A. y = kx
B. 2.50x = y
C. $2.50 = yx
D. 2.50y = x
Can someone give me the answer this question
Answer:
x = 16
Step-by-step explanation:
We know that the 2 given angles are same side interior angles, and therefore are supplementary (add up to 180°). The equation to solve for "x" would be written as:
(Angle 1) + (Angle 2) = 180°
(8x - 10) + (62) = 180°
8x + 52 = 180
8x = 180 - 52
8x = 128
x = 16
Therefore, x = 16
Hope this helps!
Which equation can be used to find mArc M N? mArc M N + 150 = 180 mArc M N + 150 = 360 mArc M N – 150 = 180 mArc M N – 150 = 360
Answer:
A: mArc M N + 150 = 180
Step-by-step explanation:
on edge2021!! hope this helps!!~
NEED HELP PLZ!!!!!!George and John travel 392 miles in 7 hours. If they travel at the same rate, how long will it take them to travel 728 miles?
a) Find their rate: _____ mph
b) It took them ____ hours to travel 728 miles
Answer:
Step-by-step explanation:
a. Find the unit rate, or how many miles they traveled in one hour, by dividing:
[tex]\frac{392}{7}=56 mph[/tex]
b. Now that we know how fast they were going, we can use it in either a proportion or in the d = rt equation. For the proportion set up, put miles on the top and hours on the bottom and solve for the unknown:
[tex]\frac{mi.}{hr}:\frac{56}{1}=\frac{728}{x}[/tex] and cross multiply to solve for x:
56x = 728 so
13 hours.
Now use the d = rt equation:
728 = 56t so
t = 13 hours
I NEED HELP PLS i don’t understand exactly how to do this :/
Answer:
I assume AC = 49.89 since the number is cut off
Step-by-step explanation:
tangent(degree) = opposite / adjacent
To find AC, you can set up tan(29) = AC / CB
tan(29) = AC / 90 (the picture is cutted off, so I assume....)
[tex]90*tan(29)[/tex] = AC
In the diagram below, OPis circumscribed about quadrilateral ABCD. What is
the value of x?
Answer:
x+10+88=180
x. =180-98
x. =82
Victoria is designing an image to be projected onto a screen. Her design is shown
below.
Victoria's Design
What is the total area, in square centimeters,
of Victoria's design?
8 cm
4 cm
4 cm
4 cm
10 cm
14 cm
146 centimeters squared
188 centimeters squared
118 centimeters squared
Answer:
13 ug
Step-by-step explanation:
Victoria is designing an image to be projected onto a screen. Her design is shown
below.
Victoria's Design
What is the total area, in square centimeters,
of Victoria's design?
8 cm
4 cm
4 cm
4 cm
10 cm
14 cm
146 centimeters squared
188 centimeters squared
118 centimeters squared
I NEED HELP PLEASE IT WOULD HELP ME ALOT
Answer:
62 degrees
Step-by-step explanation:
Every triangle needs to have 180 degrees. Simply you have to add 60+58 which is 118 degrees. Then you subtract 180-118 which equals to 62 degrees.
Please help 1-9 {30 points + brainlist}
Answer:
1. 3.4
2. 23.4
3. 8
4. 14.25
5. 9.6
6. 6
7. 25
8. 28.8
9. 1.35
I hope this is the right answer key
Step-by-step explanation:
I need the answer ASAP
Answer:
Step-by-step explanation:
use pythagoras theorem
a^2+b^2=c^2
g^2+g^2=24^2
2g^2=576
g^2=576/2
g^2=288
g=[tex]\sqrt{288}[/tex]
g=12[tex]\sqrt{2}[/tex]
what is 5 to the 3rd power
Answer: 125
Step-by-step explanation: 5•5•5
All I need to know is what X is for this problem
Answer:
x = 19°
Step-by-step explanation:
We know that ∠UTV and ∠RTS are vertical angles, therefore is the measure of ∠UTV = 85, then the measure of ∠RTS would also be 85, by the "Vertical angles are congruent theorem.
=> ∠UTV ≅ ∠RTS
=> ∠UTV = 85°
=> ∠RTS = 85°
Now that we know all three angles of within the triangle, we can say that the sum of all three angles within the triangle is 180, we can conclude;
∠R + ∠T + ∠S = 180°
(3x) + (85°) + (2x) = 180°
5x + 85° = 180°
5x = 180° - 85°
5x = 95
x = 95/5
x = 19°
Hence, there is you're answer! x = 19°
Hope this helps!
Please help with this
Answer:
CORRECT STATEMENTS:
CDStep-by-step explanation:
Please help!!! Will give brainliest to the first correct answer!
Answer:
a. (-4,8)
Step-by-step explanation:
the two lines intersect at this point
Need help ASAP and please don't be a scammer
Is this an enlargement or a reduction? How do you know?
Answer:
Reduction
Step-by-step explanation:
The resulting shape M'S'V' is smaller than the original shape MSV, so it is therefore classified as a reduction.
calculate which number after an increase of 36%, is 170
Hello there I hope you are having a Great day, Percentage increase = 36% × 170 = 36 ÷ 100 × 170 = 36 × 170 ÷ 100 = 6,120 ÷ 100 = 61.2 So the Answer would be 61.2 Hopefully that helps you :)
The top of a storage container is a hemisphere with a diameter of 28 feet. What is the volume of the storage container? Round your answer to the nearest tenth
Answer:
5749.3 cubic feet
Step-by-step explanation:
The volume of the storage container would be defined by the volume of the shape; a hemisphere
The volume V of a hemisphere is given as
V = 2/3 π r^3
where r is the radius of the hemisphere
Given that the diameter is 28 feet, the radius = 14 feet
hence the volume
= 2/3 * π * 14^3
= 5749.333333
To the nearest tenth
= 5749.3 cubic feet
Is a triangle with side lengths 7cm, 24 cm, and 25 cm a right triangle? Explain.
Answer:
Step-by-step explanation:
If this is right triangle, then 2 things are fact: that the side length 25 is the length of the hypotenuse since the hypotenuse is always the longest side in a right triangle, and that Pythagorean's Theorem applies. Let's check that:
[tex]7^2+24^2=25^2[/tex] If this is a true statement, then these sides do indicate a right triangle.
49 + 576 = 625 and
625 = 625 so yes, this is right triangle by the Converse of Pythagorean's Theorem