Answer/Step-by-step explanation:
Volume of a cone = ⅓*π*r²h
Where,
Radius (r) = 7 mm
Height (h) = 8 mm
Plug in the value into the equation
V = ⅓*3.14*7²*8
V = ⅓*3.14*49*8
V = 410.293333
V ≈ 410.3 mm³ (nearest tenth)
(ii) 3x - 5y - 4 = 0 and 9x = 2y +7
Step-by-step explanation:
3×‐9×-5y-2y =0-7
-6x-7y =-7
Answer:
[tex]x = \frac{9}{13} \ , \ y = - \frac{5}{13}[/tex]
Step-by-step explanation:
3x - 5y = 4 ----------- ( 1 )
9x - 2y = 7 -----------( 2 )
______________________
( 1 ) x 9 => 27x - 45y = 36 ----------------- ( 3 )
( 2) x 3 => 27x - 6y = 21 -------------------( 4 )
_____________________
( 3 ) => 27x - 45y = 36
- ( 4 ) => -27x + 6y = - 21
____________________
( 3 ) - ( 4 ) => 0x - 39y = 15
-39y = 15
[tex]y = \frac{15}{-39} = -\frac{5}{13}[/tex]
Substitute y in ( 1 ) :
[tex]3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}[/tex]
Find the expression different from the others. Do this by showing that the other four are equivalent to each other using the properties of exponents. (4 points)
A)2^4x+2
B)4•16^x
C)2+4^4x
D)2^2 • 4^x (over) 4^-x
E)4^2x+1
Answer:
C) 2+4^4x
Step-by-step explanation:
A) 2^(4x+2) = 2^4x • 2² = 16^x • 4
B) 4 • 16^x = 16^x • 4 (already done)
D) 2^2 • 4^x (over) 4^-x
= 4 • 4^x • 4^x = 16^x • 4
E) 4^(2x+1) = 4^2x • 4¹ = 16^x • 4
For his phone service, Deshaun pays a monthly fee of $17, and he pays an additional $0.04 per minute of use. The least he has been charged in a month is $67.44.
how do i solve this
it’s geometry
Answer:
x=5, y=11
Step-by-step explanation:
> sum of interior angles of a polygon is (n-2)·180°, where n-is the number of sides, so our rhombus has sum of angles =(4-2)·180° =360°
>we know that the opposite angles are congruent so ...
>we have the sum of interior angles is
108+108+7y-5+7y-5 = 360, combine like terms
14y +206 =360, subtract 206 from both sides
14y = 154, divide both sides by 14
y= 11
>the sides are congruent therefore
4x+17 = 8x-3 , subtract 4x, and add 3 from both sides
17+3 =8x-4x, combine like terms
20 = 4x , divide by 4 both sides
5 =x
Darius is studying the relationship between mathematics and art. He asks friends to each draw a "typical” rectangle. He measures the length and width in centimeters of each rectangle and plots the points on a graph, where x represents the width and y represents the length. The points representing the rectangles are (6.1, 12.0), (5.0, 8.1), (9.1, 15.2), (6.5, 10.2), (7.4, 11.3), and (10.9, 17.5). Which equation could Darius use to determine the length, in centimeters, of a "typical” rectangle for a given width in centimeters?
y = 0.605x + 0.004
y = 0.959x + 0.041
y = 1.518x + 0.995
y = 1.967x + 0.984
Answer:
its the 4th one
Step-by-step explanation:
Answer:
the answer is C y=1.518x+0.995
Step-by-step explanation:
What is the value of x^2/y^1 when x=10 and y=5?
Fill in the blanks below in order to justify whether or not the mapping shown represents a function
Answer:
not a function because -3 maps to two different values 5 and 6
Step-by-step explanation:
y = one-third (x + 2)
Answer:
Step-by-step explanation:
according to the question equation is
y=1/3*(x+2)
y=x+2/3
What is the range of the function in this table?
х y
1 2
2 4
3 3
4 2
a. (1,2), (2,4), (3,3), (4,2)
b. (1,2)
c. {1,2,3,4}
d. {2,3,4}
Answer:
4 is the range of the function
PLEASEE HELP I NEED ASAP TY SM
Answer:
51
Step-by-step explanation:
166-13=153
153/3=51
51
sorry if that didn't make sense, that is just how i solved it
Matt is saving to buy a new motorcycle. If he deposits $70 at the end of each month in an account that pays an annual interest rate of 3.5%, how much will he have in
60 months? Assume that the compounding is being done monthly
Answer:
bro I don't know. I just need the points so I can keep getting answers. good luck tho I guess.
Is this a function? Or is it not a function ? I’ll give brainlist.
Answer:
its a function something to remember is if anything on the y line (up and down) touches its not a function otherwise it is
Step-by-step explanation:
Can someone simplify? I'm confused-
Can u solve these please I need help
Answer:
Step-by-step explanation:
take 48 degree as reference angle
using tan rule
tan 48=opposite/adjacent
1.11=missing side/58
1.11*58=missing side
64.38=missing side
Is b = 4 a solution to the inequality below?
3 ≥ b
Also can someone tell me how to do this? step by step?
Answer:
b=4
Step-by-step explanation:
4 Also can someone tell me how to do this? step by step?
Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures created by the intersecting lines? Explain.
Answer:
If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.
Step-by-step explanation:
Which expressions are equivalent. Picture Provided. NO LINKS! NEED ANSWER ASAP
Answer:
B) 3^-5 (1 / 243) and D) 2^5 x 6^-5 (1 / 243)
Step-by-step explanation:
3 to the negative 5th power as a fraction is
1 / 243.
2 to the power of 5 multiplied by 6 to the power of negative 5 also equals 1 / 243.
Both expressions are equivalent to 2^5 / 6^5 because they equal the same thing (1 / 243).
How many times does the company expect the album to be downloaded in the 11th month?
Which relation is a function?
A. (8,-4), (8,4), (6,-3), (6,3), (0, 0)
B. (4, 7), (8,5), (6,4), (5, 3), (4, 2)
C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7)
D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2)
To determine which relation is a function, we need to check if each input value (x) corresponds to a unique output value (y). If there is any repetition in the x-values, then it is not a function. in option (0, 0), (1, 1), (2, 2), (3, 3), (4,7) no repetition x-values so c is correct.
Let's analyze each option:
A. (8,-4), (8,4), (6,-3), (6,3), (0, 0)
In this relation, we can see that both 8 and 6 have repeated as x-values. Therefore, option A is not a function.
B. (4, 7), (8,5), (6,4), (5, 3), (4, 2)
Again, we notice that 4 appears twice as an x-value. Hence, option B is not a function.
C. (0, 0), (1, 1), (2, 2), (3, 3), (4,7)
Here, each x-value is unique. No repetition is observed. Therefore, option C represents a function.
D. (0, 0). (1, 0), (1, 1), (2, 1), (1, 2)
In this relation, the x-value of 1 appears three times. Consequently, option D is not a function.
To summarize, option C is the only relation that represents a function since it has distinct x-values corresponding to unique y-values.
Option C is correct answer
For more question function
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You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 2 and flipping heads? Write your answer as a fraction in simplest form. The probability is .
Answer:
1/12Step-by-step explanation:
Number less than 2 is 1.
Probability of 1 out of 6 is:
P(1) = 1/6Probability of heads is:
P(h) = 1/2The probability of both is:
P = 1/6*1/2 = 1/12PLEASE HELP ASAP!! THANK YOU
EXPLANATION = BRAINLIEST & 5 STARS
From the library, one car heads north, and another heads east. Some time later, the northbound car has traveled 17 miles, and the eastbound train has traveled 144 miles. The two cars, measured in a straight line, are ___ miles apart.
help me solve this question please. Thank you
Answer:
an = 80. 2^(n-5)
Step-by-step explanation:
r = a6/a5 =160/80 = 2
an = a5. r^(n-5)
= 80. 2^(n-5)
IF U HELP ME ILL MARK BRAINLIEST
I need help answering this question
State the amplitude and period of f(x) = 3cos9/5t
Answer:
The amplitude is 3 and the period is 10π/9.
Step-by-step explanation:
The standard cosine function is in the form:
[tex]y=a\cos(b(x-c))+d[/tex]
Where |a| is the amplitude, 2π/b is the period, c is the phase shift, and d is the vertical shift.
We have the function:
[tex]f(x)=\displaystyle 3\cos\frac{9}{5}t[/tex]
We can rewrite this as:
[tex]\displaystyle f(x)=(3)\cos\left(\frac{9}{5}\left(t-0\right)\right)-(0)[/tex]
Therefore, a = 3, b = 9/5, c = 0, and d = 0.
Hence, our amplitude is |3| = 3.
Our period will be:
[tex]\displaystyle \text{Period}=\frac{2\pi}{9/5}=2\pi \cdot \frac{5}{9}=\frac{10\pi}{9}[/tex]
15/x=10/2
Find x please
Answer:
x=3
Step-by-step explanation:
15/x=10/2
Simplifying the right side
15/x = 5
Multiply each side by x
15/x *x = 5x
15 = 5x
Divide each side by 5
15/5 = 5x/5
3 =x
⚠️❗️⚠️❗️⚠️❗️10 POINTS PLEASE HELP ASAP I NEED THE ANSWER TO THE PROBLEM ANSWERED BELOW ⚠️❗️⚠️❗️⚠️❗️
What is the area❓ No links or troll answers you’ll be reported
Answer:
Step-by-step explanation:
so you have 2 rectangles and you first need to find what the area is for the side opposite 25 which is 9 because the 2 9's are the same as the missing number.
now 16x9=144
and 9x9x9=729
725x25=18225
hope that helps
have a great day/night
19NBoli
which function represents the sequence? A.f(n) =n+3 B.f(n)=7n-4 C.f(n)=3n+7 D.f(n)=n+7
Answer:
f( n ) = 7 n - 4
Step-by-step explanation:
Terms : 3,10 , 17, 24, 31
Means this = [tex]a_{1}[/tex] = 3
The differences:
d = 10-3=7
our term of the sequence =
f( n ) = 7 n - 4
What is slope? Describe it and provide an real life example.
Answer:
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Step-by-step explanation:
What are the solutions to the system of equations graphed below? Select all
that apply.
Answer:
A solution to a system of equations is the point(s) where they intersect. Find the ordered pairs where they intersect and you have your answers.
Step-by-step explanation: