The approximate ordered pair is the coordinate where both functions graph intercect
That's can be found only by observing graph.
As we observe we find that
The coordinate at where f(x)=g(x) is (3,18)
It means that
at this the values of both the functions are equal
i.e
f(3)=g(3)=18Answer:
b) (3, 18)
Step-by-step explanation:
f(x) = g(x) at the point where the two lines intersect.
From inspection of the graph, we can see that the x-value of the point of intersection is between 0 and 10. Therefore, from the options given, it must be x = 3 (since 12 > 10 and 18 > 10).
From inspection of the graph, we can see that the y-value of the point of intersection is between 10 and 20, but it's nearest to 20 than it is 10. Therefore, from the options given, it must be y = 18.
Therefore, the approximate ordered pair is (3, 18)
Which is the graph of the function f(x) = -√x
a bucket is 12cm in diameter at the top , 8cm in diameter at the bottom and 4cm deep.calculate uts volume in cm cubein terms of pi
Answer:
that is 12x8x4= 384
that should be the final answer
The ice cream stand offers chocolate, vanilla, and strawberry ice cream. Find the approximate probability the next three customers order vanilla, chocolate, and then strawberry.
Answer: 1/3 im not sure tho
Step-by-step explanation:
The points P (22, 15), Q (−13, c) and R (k, 24) all lie on a circle, centre (2, 0). Find the radius of the circle and the possible values of the constants c and k.
Answer:
r = 25c = 20k = 9 or k = -5Step-by-step explanation:
Circle of center A(2, 0) and radius r.
P (22, 15), Q(−13, c) and R (k, 24) all lie on a circle,
[tex]r=AP=\sqrt{\left( 22-2\right)^{2} +\left( 15-0\right)^{2} }[/tex]
[tex]=25[/tex]
Q(−13, c) lies on the circle then ,
[tex]AQ=r\Longrightarrow AQ^{2}=r^{2}\Longrightarrow (-13-2)^{2}+(c-0)^2=25^2=625[/tex]
[tex]\Longrightarrow 225+c^{2}=625[/tex]
[tex]\Longrightarrow c=20[/tex]
R (k, 24) lies on the circle then ,
[tex]AR=r\Longrightarrow AR^{2}=r^{2}\Longrightarrow (k-2)^{2}+(24-0)^2=25^2=625[/tex]
[tex]\Longrightarrow (k-2)^{2}+576=625[/tex]
[tex]\Longrightarrow (k-2)^{2}=49[/tex]
[tex]\Longrightarrow k-2=7\ \ or \ \ k-2=-7[/tex]
[tex]\Longrightarrow k=9\ \ or \ \ k=-5[/tex]
A quantity with an initial value of 620 grows continuously at a rate of 0.3% per second. What is the value of the quantity after 0.5 minutes, to the nearest hundredth?
Answer:
678.39
Step-by-step explanation:
For this we should probably use the formula A = Pe^rt. The question says that the value grow "continuously" which is our hint that we should use A = Pe^rt rather than A = P(1 +r/n)^nt. Our P = 620 as it is our initial value. e is a constant approx = 2.718. r is our rate, so 0.3% = 0.003, and our t will be in seconds. We need to figure out how many seconds are in .5 minutes, so 30, and that means our t will = 30. Let's plug these in. 620e^(0.003 * 30) = A. This will give us our answer which when rounded to the hundredths = 678.39.
Hope this is helpful.
In many cases, lenders allow homeowners to include their homeowners insurance premium with their monthly mortgage payment. tim’s home is worth $279,500. if his homeowners insurance premium is $0.33 per $100, how much is added to his monthly mortgage payment for insurance? a. $7.69 b. $76.86 c. $92.35 d. $922.35 please select the best answer from the choices provided a b c d
The amount that is added to his monthly mortgage payment for insurance is b. $76.86.
What is a Mortgage?This refers to the amount of money that is paid for the downpayment for a piece of property.
Given that the worth of the home is $279,000
premium is $0.33 per $100.
1 month premium on $1 is $0.0275/100
Now, one month's premium is calculated as:
$0.0275/100 * 279,000
=$76.86
Read more about mortgages here:
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me podrían ayudar con esto?
Answer:
0
Step-by-step explanation:
This would be basically be zero/0 because anything times 0 is just nothing.
anyone knows the answer?!
Answer:
p = -6.32, 6.32
Step-by-step explanation:
[tex]3 {p}^{2} - 120 = 0[/tex]
[tex] {p}^{2} - 40 = 0[/tex]
[tex] {p}^{2} = 40[/tex]
p = -2√10, 2√10
p= -6.32, 6.32
Amanda created a table to help her represent the sample space of spinning a spinner and flipping a coin.
Result of spin
Result of coin toss Red Green Yellow Blue
Heads Red, heads Green, heads Yellow, heads Blue, heads
Tails Red, tails Green, tails Yellow, tails Blue tails
What is the probability that the result of the spin is blue and the coin lands heads up?
two over eight
three over eight
one over eight
four over eight
Answer:
[tex]\sf \dfrac{1}{8}[/tex]
Step-by-step explanation:
Spinner choices: Red, Green, Yellow, Blue
Coin choices: Heads, Tails
[tex]\large\begin{array}{| c | c | c | c | c |}\cline{1-5} & \sf Red & \sf Green & \sf Yellow & \sf Blue\\\cline{1-5} \sf Heads & RH & GH &YH & BH \\\cline{1-5} \sf Tails &RT & GT& YT& BT\\\cline{1-5}\end{array}[/tex]
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(blue)=\dfrac{1}{4}[/tex]
[tex]\implies \sf P(heads)=\dfrac{1}{2}[/tex]
[tex]\implies \sf P(blue)\:and\:P(heads)=\dfrac{1}{4} \times \dfrac{1}{2}=\dfrac{1}{8}[/tex]
What is the value of 6 n=2 (n-1)!/2
Answer: d- 76.5
Step-by-step explanation:
What is an equation of the line that passes through the point (-4,-6) and is
parallel to the line 33 – y = 6?
Hey there!
33 - y = 6
33 - 1y = 6
-1y + 33 = 6
-y + 33 = 6
SUBTRACT 33 to BOTH SIDES
-y + 33 - 33 = 6 - 33
SIMPLIFY IT!
-y =6 - 33
-y = 6 - 33
-1y = -27
DIVIDE -1 to BOTH SIDES
-1y/-1 = -27/-1
SIMPLIFY IT!
y = -27/-1
y = 27
Therefore, your answer is: y = 27
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
I guess question is wrong :
What is an equation of the line that passes through the point (-4,-6) and is parallel to the line 33 x– y = 6?
3x - y = 6
[tex]m = \frac{ - a}{b} [/tex]
[tex]m = \frac{ - 3}{ - 1} [/tex]
[tex]m = 1[/tex]
Lines are parallel :
m1 = m2
[tex]x - x1 = m(y - y1)[/tex]
[tex]x + 4= 1(y + 6)[/tex]
[tex]x + 4= y + 6[/tex]
[tex]x - y= 6 - 4[/tex]
[tex]x - y - 2 = 0[/tex]
A softball has a volume of about 29 cubic inches. Find the radius of the softball. Round your answer to the nearest tenth.
The radius of the softball is about _ inches.
The geometry of the softball is a sphere. Then the radius of the softball will be 1.91 inches.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A softball has a volume of about 29 cubic inches.
Then the radius of the softball will be
The geometry of the softball is a sphere.
Then the volume of the sphere is given as
[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]
where r is the radius of the softball.
Then we have
[tex]\rm r^3 = \dfrac{3V}{ 4 \pi}\\\\r^3 = \dfrac{3 \times 29}{4 \times \pi}\\\\r^3 = \dfrac{87}{12.5664}\\\\r^3 = 6.9232\\\\r \ \ = \sqrt[3]{6.9232}\\\\r \ \ = 1.9059 \approx 1.91 \ in.[/tex]
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A marine biologist compared two large pools that could be used for a new dolphin training arena. Pool A held 2 x 1010 gallons, and pool B held 2 x 108 gallons. How many times more gallons will the larger pool hold than the smaller pool?
4
20
100
200
Answer:
20
Step-by-step explanation:
Find the range and interquartile range of the data.
2, 4, 8 , 3, 2
Answer:
IQR = 4
Step-by-step explanation:
Q3 = 6
Q1= 2
6-2=4
here it is could you help me.
Answer:
7. D.58
Because 90-32=58 (that cube on the edge means 90degree)
8. A.45
Because 180-135=45
9. C. Because angles are equal
10. C. 95
180-85=95
PLEASE HELP ME !!???! I DONT GET IT
Answer:
see explanation
Step-by-step explanation:
the perimeter (P) is the sum of the 3 sides of the triangle, then
P = 31 + 19.5 + 16.2 = 66.7 units
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 16.2 and h = 13 , then
A = [tex]\frac{1}{2}[/tex] × 16.2 × 13 = 8.1 × 13 = 105.3 units²
A quantity of bacteria doubles every hour. If you start with 100 bacteria cells, the number of cells you will have at any time can be found by the formula c = 100(2)x. How many hours will it take to have 1,000,000 bacteria? Round to the nearest whole number.
Answer:
10,000 hours
Step-by-step explanation:
10,000 x 100 = 1,000,000
Hope this helps!
HELPPP PLEASEEEEE
Tyrion creates a set of nesting shapes as a toy set for his baby nephew. The outer figure is a
cube with an edge length of 20 centimeters. The middle figure is a square pyramid with an
identical square base and the same height as the cube. The innermost figure is a cone with a
diameter and height equal to the edge of the cube. Calculate the difference of volumes
between cube and cone. Round your answers to the nearest whole cubic centimeter.
Answer:
5906
Step-by-step explanation:
The difference in volumes between cube and cone is 5190.52 cubic units.
How to find the volume of a cube?Suppose that:
The side length of the considered cube is L units.
Then, we get:
The volume of that cube = L³ cubic units.
The outer figure is a cube with an edge length of 20 centimeters.
The volume of that cube = L³ cubic units.
= 8000 cubic units.
The volume of that cone
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
The height is 20 cm and the radius will be
[tex]D = 20\sqrt{2} \\ = 28.2\\\\r = D/2\\ = 14.1[/tex]
volume of that cone
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
= [tex]V = \dfrac{1}{3} (3.14) (14.1)^3 (20) \: \rm unit^3[/tex]
= 59190.52 cubic units
Therefore, the difference in volumes bbetween cube and cone is 5190.52 cubic units.
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Help with this volume problem? (please include how you got the answer) will give brainlyest
Answer:
35.28 m
Step-by-step explanation:
Formula for volume of pyramid:
[tex]V=b^2\frac{h}{3}[/tex]
Therefore since,
base - 4.2 m
height - 6 m
Then,
[tex]V=4.2^2\frac{6}{3}[/tex]
[tex]V=35.28m[/tex]
Kavinsky
Three less than the quotient of a number and 4 is 18. What is the number? Let n be the unknown number.
Answer:
n = 84
Step-by-step explanation:
18 + 3 = 21, so that means the quotient of the number and 4 is 21.
21 * 4 = 84
CHECK:
84 / 4 = 21
21 - 3 = 18
Can you answer this for me ty :)
Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph.What is the probability that one girl and two boys will be chosen
Answer:
18/125
Step-by-step explanation:
4 add 6 is 10
4/10 chance for a girl
6/10 chance for a boy
2 boys and a girl is 4/10, 6/10, 6/10
4/10 multiplied by 6/10 multiplied by 6/10 is:
144/1000
This can be simplified to 72/500
This can be simplified to 36/250
This can be simplified to 18/125
heyyy please help me here
Answer:
The correct answer is 111.
Step-by-step explanation:
Each time, the number increases by the number it increased by before, plus 2.
The full sequence would be:
3, 9, 17, 27 , 39, 53, 69, 89, 111.
Hope this helps:) Goodluck!
Simplify the expression. Write your answer as a power.
Answer:
2/3 to the power 8
Step-by-step explanation:
Power : 2 + 6 = 8
Find the base and height of this parallelogram.
Divide the parallelogram into two triangles, assume that our e diagonal is the "base" for both new triangles. What's the height of that triangle? Use the sine function. It's (f/2) * sin (angle)! The area of the triangle is equal to our "base" e times height: e * (f/2) * sin (angle)
The base is 12 feet long, the height is 17 feet long.
How To Solve: https://brainly.com/question/544471
Credit to: naǫ
Find the Volume of the Sphere if:
r=10 and pi= 3.1416
Answer:
4188.79
Step-by-step explanation:
formula- [tex]\frac{4}{3}[/tex] × [tex]\pi[/tex] × [tex]r^{3}[/tex]
r= radius
what does x equal when 6600/80 = x
Answer: 82.5
Step-by-step explanation: 6600 divided by 80 is 82.5
Answer:
82.5
Step-by-step explanation:
What is the coefficient of the x2-term of the algebraic expression 2 x 4 + x squared minus x + 7?
-1
1
0
2
Answer:
1
Step-by-step explanation:
If x doesnt have a number in front of it the coefficient is 1. x^2 + 3x + 7 = 1x^2 + 3x + 7 /// same thing
Answer:
i believe its B. 1
Step-by-step explanation:
pls help me classify each of this?!
First image -Right triangle(One angle is 90 degrees)
Second image-Isosceles triangle(Two equal sides and two equal angles).
Find the sum of the first 9 terms
of the geometric sequence: 0.5, 1, 2,-..
Answer:
S₉ = 255.5
Step-by-step explanation:
the sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 0.5 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1}{0.5}[/tex] = 2 , then
S₉ = [tex]\frac{0.5(2^{9}-1) }{2-1}[/tex]
= [tex]\frac{0.5(512-1)}{1}[/tex]
= 0.5(511)
= 255.5