Answer:
√62 = 8
y = 8
√225 = 15
z = 15
Pythagoras theorem
a^2 + b^2 = c^2
in this case...
y^2 + z^2 = x^2
8^2 + 15^2 = √289
8^2 + 15^2 = 17
x= 17
In a poll of 300 preschoolers, 125 said they preferred chocolate ice cream, 71 said they preferred vanilla, 100 said they preferred cookies & cream, and 4 said they had never eaten ice cream. If a pie chart were to be made showing the preference for each flavor, the central angle for the chocolate ice cream sector would be:_________
Find the percentage of the people who like Chocolate = chocolate/ total x 100
Percentage = 125/300 = 0.41666 x 100 = 41.6667 = 41.67 ( round as needed)
A full circle is 360 degrees.
The central angle = percentage of chocolate x 360:
0.416666 x 360 = 150
The central angle for chocolate is 150 degrees
There are 23 red candies, 16 blue candies,
and 10 yellow candies. What is the
probability that you will reach into the
candy bag and choose a yellow piece?
Answer:
[tex]\frac{10}{49}[/tex]
Step-by-step explanation:
There are 23 red candies, 16 blue candies and 10 yellow candies.
Which means altogether we have..
23 + 16 + 10= 49
49 candies.
To find the probability of picking a yellow piece, we know that there are 10 yellow candies out of 49 candies.
So the chances of getting a yellow piece is [tex]\frac{10}{49}[/tex]
10 YELLOW CANDIES
49 CANDIES
evaluate x^2 when x=5
Answer:
25
Step-by-step explanation:
x = 5
x^2 = 5^2 = 5*5 = 25
Answer:
25
Step-by-step explanation:
5*5=25
State the gradient of the line perpendicular to the line y=3x-2
Answer:
-1/3
Step-by-step explanation:
3 is the gradient of the other line
m1×m2=-1 (equation for perpendicular lines)
m1×3= -1
m1= -1/3
Pls confirm if its correct
correct me if wrong
thanks! :)
convert 40meters to centimeters
Answer:
4000 centimeters
Step-by-step explanation:
40 cm x 100 = 4000 cm
Is Canada‘s population is 1/10 of the United States and Canada‘s population is 32 million how many people live in the United States
Answer:
320M
Step-by-step explanation:
It is given that Canada's population is 1/10th of the USA's population, essentially meaning that the US's population is 10x that of Canada's. Therefore, if Canada's population is 32M, multiply 10 to that:
32,000,000 x 10 = 320,000,000
320,000,000 people live in the US.
~
43. Find the equation of a line perpendicular to the y-axis passing through the point (4, 7).
9514 1404 393
Answer:
y = 7
Step-by-step explanation:
The y-axis is the vertical line x=0. A perpendicular line will be a horizontal line that will have an equation of the form ...
y = constant
In order for that line to go through a point with y-coordinate 7, the line must be ...
y = 7
1 tenth + 2 tenths = blank tenths =
Answer:
3 tenths +4 tenths: 7 tenths
Step-by-step explanation:
2+1 :3
so
3+4:7
A student bought a book for $7 and a pen. The total cost was $9. Which of the following equations can be used to find the cost of the pen?
Answer: D
Step-by-step explanation:
$7 = cost of book
(p) = cost of pen as a variable
add them together, for total price: $9
7+p=9
if radius of circle is decreased by 50% its area is reduced by
Answer:
0.25 or 25%
Step-by-step explanation:
because the area of circle is 2πr^2 or two radius times together so that both are decreased by 50%
A number is multiplied by 6, and that product is added to 4. The sum is equal to the product of 2 and 23. Find the number.
The answer is 7.
To prove whether this is correct or not, just test it with the given conditions,
7x4+4=46.
Does 2x23=46?
Yes.
So, therefore,
The answer is 7.
Answer:
x=13
Step-by-step explanation:
6x+4=82
6x=78
Are the following equivalent -3x=-x-2x
Answer:
Yes.
Step-by-step explanation:
By adding like terms, -x - 2x = -3x. Therefore, they are equivalent.
Answer:
Yes They are Equivalent.
Step-by-step explanation:
R.H.S (Right Hand Side)
- x - 2x
=> 3x = L.H.S(Left Hand Side)
The radius of a circle is 4.0 millimeters. Find the diameter,
??
Distrubutive property
(m-3)(-10)?
Answer: -10m + 30
Step-by-step explanation:
Given expression
(m - 3) (-10)
Expand parentheses and apply the distributive property
=m · (-10) - 3 · (-10)
Simplify by multiplication
=[tex]\boxed{-10m+30}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
calculus graph please help
Answer:
See Below.
Step-by-step explanation:
We are given the graph of y = f'(x) and we want to determine the characteristics of f(x).
Part A)
f is increasing whenever f' is positive and decreasing whenever f' is negative.
Hence, f is increasing for the interval:
[tex](-\infty, -2) \cup (-1, 1)\cup (3, \infty)[/tex]
And f is decreasing for the interval:
[tex]\displaystyle (-2, -1) \cup (1, 3)[/tex]
Part B)
f has a relative maximum at x = c if f' turns from positive to negative at c and a relative minimum if f' turns from negative to positive to negative at c.
f' turns from positive to negative at x = -2 and x = 1.
And f' turns from negative to positive at x = -1 and x = 3.
Hence, f has relative maximums at x = -2 and x = 1, and relative minimums at x = -1 and x = 3.
Part C)
f is concave up whenever f'' is positive and concave down whenever f'' is negative.
In other words, f is concave up whenever f' is increasing and concave down whenever f' is decreasing.
Hence, f is concave up for the interval (rounded to the nearest tenths):
[tex]\displaystyle (-1.5 , 0) \cup (2.2, \infty)[/tex]
And concave down for the interval:
[tex]\displaystyle (-\infty, -1.5) \cup (0, 2.2)[/tex]
Part D)
Points of inflections are where the concavity changes: that is, f'' changes from either positive to negative or negative to positive.
In other words, f has an inflection point wherever f' has an extremum point.
f' has extrema at (approximately) x = -1.5, 0, and 2.2.
Hence, f has inflection points at x = -1.5, 0, and 2.2.
Which of the following is a reciprocal of 5
Hi :)
The reciprocal of 5 is 1/5.
Every number has a reciprocal except 0.
For example
5/1 is just 5 but the reciprocal of that would be 1/5.
Essentially flipping the fraction.
Answer: [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Reciprocal means the multiplicative inverse of a number. It means the numerator and the denominator which their places.
Since 5 does not have a denominator, we can keep the denominator as 1. The fraction will be [tex]\frac{5}{1}[/tex]. Now when we switch the numerator and denominator, we will get [tex]\frac{1}{5}[/tex].
Please Help Me I Will Give Brainliest
Answer:
Top left option
Step-by-step explanation:
There are a total of 10 boxes so
x + y = 10
The question states that x = 20 pound boxes and y = 30 pound boxes
20x + 30y = 280
= Introduction to elapsed time Keiko started washing at 7:28 AM and finished at 8:46 AM. How long did it take her? Give your answer in hours and minutes. min X Х o ?
Answer:
Step-by-step explanation:
At 8:28 exactly one hour had gone by.
To get to 8:46 you need to add on almost 20 minutes. which would bring it up to 8:48. Since you are 2 minutes short from :46 to :48, the correct number of minutes is 18 (48 - 2)
Answer: 1 hour and 18 minutes.
Consider f(x)=x+7 and g(x)=x^2-1 find (g of f)(x)
Answer:
g(f(x))=x^2 + 14x + 48
Step-by-step explanation:
you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.
(g o f) (x) = g ( f(x) )
= (x+7)² – 1
= x² + 14x+49 – 1
= x² + 14x+48
If you want, (f o g ) (x) below is the solution ^_^
(f o g ) (x) = f ( g(x) )
= g(x) + 7
= x²-1 +7
= x² +6
I hope I helped you^_^
Lynn paid $12.21 for ribbon. The cost per yard was $1.48.
How many yards did she get?
A. 9.25 yards
B. 10.05 yards
C. 8.45 yards
D. 8.25 yards
Answer:
D
Step-by-step explanation:
All we need to do is divide the values we are given.
12.21 / 1.48 = 8.25
Best of Luck!
Write in decimal form 0x100+ 6x10+ 5x1+ 2x(1/10+ 1x(1/00+ 4x(1/1000
Answer:
65.214
Step-by-step explanation:
0*100+6*10+5*1+2*(1/10+1*(1/100+4*(1/1000
0+60+5+2(1/10+1(1/100+4(1/1000
65+(0.2+0.01+0.004
65+0.214
65.214
One number is 7 more than 4 times another number if the sum of the numbers is 22 find the numbers
Answer:
3 and 19
Step-by-step explanation:
The smaller number is x. The bigger number is 4x + 7. Big number + small number= 22. x + 4x + 7 = 22. 5x= 15. x= 3.
Small number= x= 3
Big number= 4x+7= 12 + 7 = 19
A factory makes 3.65 meters of masking tape every second. How many meters of masking
tape can the factory make in 4 seconds?
Answer:
i think 14.6
Step-by-step explanation:
pls mark bainlyest
How would I graph this?
In the cylinder r = 8 cm and h = 4 cm what is it volume by cm
Answer:
804.25 cm³
Step-by-step explanation:
V = πr²h
V = π * (8 cm)² * 4 cm
V = 3.14159 * 64 cm² * 4 cm
V = 804.25 cm³
Solve this system of equations for x using the addition method.
5x+3y=10
3x-4y=61
Answer:
223/29
Step-by-step explanation:
5x+3y=10 . multiply by 4
3x-4y=61 . multiply by 3
20x+12y=40
+ 9x-12y=183
_____________
29x-0y = 223 . divide both sides by 29
x = 223/29
WILL MARK AS BRAINLIEST
Answer:
... uhh I'm only in middle school but uhh I think 25??
Help!
Which expression is equivalent to—
Answer:
2a
Step-by-step explanation:
[tex] \frac{4a + 4}{2a} \times \frac{ {a}^{2} }{a + 1} [/tex]
➡️ [tex] \frac{4(a + 1)}{2} \times \frac{a}{a + 1} [/tex]
➡️ [tex] = 2a[/tex] ✅
What element in the domain has image 7 in the function f(x) = x²– 2?
a. 3 b) 9 c) -1 d) 4
Answer:
[tex]f(x) = 7 \\ f(x) = {x}^{2} - 2 \\ {x}^{2} - 2 = 7 \\ {x}^{2} = 2 + 7 \\ {x}^{2} = 9 \\ x = \sqrt{9} \\ \boxed{x = 3}[/tex]
Therefore, 3 is the element in the domain which has the image 7 in function f(x)=x²-2
A. 3 is the right answer.please help me to find out the answer because I have to show my hw to my teacher
Answer:
2a^3 + 24ab^2
Step-by-step explanation:
yes that is the answer 100%