Because there are no red marbles on the bag, we will see that the probability is zero.
How to find the probability?We want to find the probability that the marble will be red. Viktoria knows that her bag has no red marbles, then it is impossible to get a red marble.
The probability of an impossible event is 0 (suppose that there are 10 marbles in the bag, we have a probability of 0 out of 10 of getting a red marble).
Then we can write the probability as P = 0.
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Answer: 0 enjoy
Step-by-step explanation:
find the indicated value of each function f(x)=-8x+14+15x^2 find f(-3)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \:f(x) =- 8x + 14 + 15 {x}^{2} [/tex]
we have to find value of f(-3), so plug the value of x as -3 in the equation ~
[tex]\qquad \sf \dashrightarrow \:f( - 3) =- 8( - 3) + 14 + 15 {( - 3)}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:f( - 3) = 24 + 14 + 15 {(9)}^{} [/tex]
[tex]\qquad \sf \dashrightarrow \:f( - 3) = 38+ 135 [/tex]
[tex]\qquad \sf \dashrightarrow \:f( - 3) = 173 [/tex]
I hope it's easy to understand now ~
f(-3):
[tex]\\ \rm\Rrightarrow 15x²-8x+14[/tex]
[tex]\\ \rm\Rrightarrow 15(-3)²-8(-3)+14[/tex]
[tex]\\ \rm\Rrightarrow 15(9)+24+14[/tex]
[tex]\\ \rm\Rrightarrow 135+38[/tex]
[tex]\\ \rm\Rrightarrow 173[/tex]
the algebraic expression that represents 2 less than 3 of n is:
A) 3 ( n - 2 ) B) 2 - 3 n C) 3 n - 2 D) 3 + n - 2 E) n
Answer:
Option A. 3(n-2)
Step-by-step explanation:
"2 less" - "subtract 2"
Then 3 of n - 3n
Hope helps -
Answer:
C) 3n - 2
Step-by-step explanation:
3 of n : 3n
2 less than : -2
Combine together :
3n - 2Find the volume of the composite solid. Round your answer to the nearest tenth.
A composite solid is shown with a cone placed atop a cylinder. The height of the cone is 6 feet and the diameter of its base is 16 feet. The diameter of the circular bases of the cylinder are the same as the diameter of the cone. The height of the cylinder is 4 feet.
The volume is about
cubic feet.
Answer:
1206.4 ft³
Step-by-step explanation:
The volume of the composite figure is the sum of the volumes of its parts. Each part has its own volume formula.
__
formulasThe formula for the volume of a cone is ...
V = 1/3Bh . . . . where B is the area of the base, and h is the height
The formula for the volume of a cylinder is ...
V = Bh . . . . where B is the area of the base, and h is the height
The formula for the area of a circle is ...
A = πr² = π(d/2)² = (π/4)d²
Combining the volume formulas for a figure with the same base area, we have ...
V = B(cylinder height) + 1/3B(cone height)
V = B(cylinder height + 1/3×cone height) . . . . where B is the base area
composite volumeUsing 16 ft for the diameter, and 4 ft and 6 ft for the heights of the cylinder and cone, respectively, we have ...
V = (π/4)(16 ft)²(4 ft + 1/3×6 ft) = 64π(4 +2) ft³ = 384π ft³
The volume is about ...
384π ft³ ≈ 1206.4 ft³
What is the area of this figure? 28cm 26cm 36cm 18cm
What is the volume of a cylindrical flower vase with a radius of 10cm and a height of 50cm?
In the question, it is given that a flower vase has a radius of 10 cm and a height of 50 cm , we have to find the volume .
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
To Find the volume of the cylindrical flower vase , we must know this formula :
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \Longrightarrow\underline{\boxed{ \color{lime}{V=πr^2h}}}[/tex]
Now, we will substitute the values in the formula:
[tex]\Longrightarrow\sf{V=3.14*10^2*50}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{V=3.14*100*50}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{V=314*50}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{V=15700}[/tex]
The volume of the flower vase (cylinder).
Solution:[tex]\boxed{\sf{Formula: V = \pi {r}^{2} h}}[/tex]
[tex]V = \pi \times {10}^{2} \times 50[/tex]
[tex]V = 15707.96327 \: {cm}^{3} [/tex]
[tex]\large\boxed{\sf{V = 15707.96 \: {cm}^{3} }}[/tex]
Hence, the volume of the flower vase (cylinder) is 15707.96 cubic centimeters.
I need help to find the blank spaces for the chart
sophie leaves school and travels east at an average speed of 40km/h, jenny leaves school one hour later and travels west at an average speed of 50km/h, determine how many hours after jenny leaves school they will be "400km" apart
Considering the speeds given, it is expected Sophie and Jenny are 400 km apart after a total of 5 hours.
How will their position change over time?Jenny:
1 hour later: 40 km east2 hours later: 80 km east3 hours later: 120 km east4 hours later: 160 km east5 hours later: 200 km eastSophie:
1 hours later: 0 km2 hours later: 50 km west3 hours later: 100 km west4 hours later: 150 km west5 hours later: 200 km westWhen wil they be 400 km apart?It is expected 5 hours later they are 400km apart because at this time each of them will be 200km away from school.
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what can Tiffany conclude from the data above?
A person who has only a high school diploma, they are most likely to have an income of less than $40,000.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
The probability of a high school diploma person having less than $40,000 income will be
P(HSD) = 51/78
P(HSD) = 0.6538
The probability of a Bachelor's degree person having less than $40,000 income will be
P(BD) = 24/78
P(BD) = 0.3077
The probability of a master's degree person having less than $40,000 income will be
P(MD) = 3/78
P(MD) = 0.0385
A person who has only a high school diploma, they are most likely to have an income of less than $40,000.
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Find f(-3) for f(x) = 4(2)^x.
ОА. 1/8
O B. -32
O C. -24
OD. 1/2
Answer:
D
Step-by-step explanation:
using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
substitute x = - 3 into f(x)
f(- 3) = 4([tex](2)^{-3}[/tex] = 4 × [tex]\frac{1}{2^{3} }[/tex] = 4 × [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{2}[/tex]
THE DISTRIBUTIVE PROPETY
3(4+3r)
Answer:
12+9r
Step-by-step explanation:
3(4+3r) = 3*4+3*3r = 12+9r
Somebody please help I’ve been stuck on this question for 2 hours
The volume of the cylinder when its radius is tripled is 405π unit³.
What is the volume of the cylinder when its radius is tripled?The volume of the cylinder when its radius is tripled is calculated by applying the formula for volume of a cylinder as follows;
V = πr²h
where;
r is the radius of the cylinderh is the height of the cylinderV is the volume of the cylinderV₁/r₁² = V₂/r₂²
where;
V₁ is the initial volume = 45π unit³
r₁ = 3 units
when the radius is tripled, r₂ = 3r₁
V₁/r₁² = V₂/r₂²
V₂ = (V₁/r₁²) x r₂²
V₂ = (V₁/r₁²) x (3r₁)²
V₂ = 9V₁
V₂ = 9 x 45π unit³
V₂ = 405π unit³
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What is the surface area of the triangular prism shown?
Answer:
The first step that we are going to do is to solve the area of the top rectangle. We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.
[tex]Area = l * w[/tex]
[tex]Area = 25\ cm * 15\ cm[/tex]
[tex]Area = 375\ cm^2[/tex]
The second side that we are going to solve for is the bottom rectangle. We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.
[tex]Area = l * w[/tex]
[tex]Area = 25\ cm * 12\ cm[/tex]
[tex]Area = 300\ cm^2[/tex]
The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.
[tex]Area = l * w[/tex]
[tex]Area = 25\ cm * 9\ cm[/tex]
[tex]Area = 225\ cm^2[/tex]
The final area that we have to determine are the side triangles. After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles. We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.
[tex]Area = \frac{1}{2}* b*h[/tex]
[tex]Area = \frac{1}{2}* 12\ cm*9\ cm[/tex]
[tex]Area = 54\ cm^2[/tex]
Multiply it by two to get the area for both of the triangles.
[tex]Area = 54\ cm^2 * 2[/tex]
[tex]Area = 108\ cm^2[/tex]
Finally, we are onto the last part which is to add up all of the areas and get the surface area after we combine everything.
[tex]Area_{total}=375\ cm^2 + 300\ cm^2 + 225\ cm^2 + 108\ cm^2[/tex]
[tex]Area_{total}=1008\ cm^2[/tex]
Therefore, our final answer is option B, 1008 [tex]cm^2[/tex]
Hope this helps!
Hello I really needs some help this is algebra
- - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{Question:-}}}[/tex]
✳︎ 5-3x=-10. what is x?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
➪ First, subtract 5 on both sides:-
-3x=-10-5
❒ Which simplifies to:-
✩ -3x=-15
Divide by -3 on both sides:-
✩ x=5
So we conclude that the value of x is 5.
Good luck.
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Find the values of x and y in parallelogram PQRS. PT=y, TR=2x+1, QT=5y, TS=6x+13 x= ? and y= ?
Answer:
Step-by-step explanation:
Select the correct expressions. 1 Identify each expression that represents the slope of a tangent to the curve y= * +1 at any point (x, y)
The expressions which represents the slope of a tangent to the curve [tex]y=\frac{1}{x+1}[/tex] at any point (x, y) are:
[tex]f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}[/tex]
The slope of a tangent to the curve.Mathematically, the slope of a tangent line to the curve is given by this equation:
[tex]f'(x) =limh \rightarrow 0\frac{f(x+h)-f(x)}{h}[/tex]
Given the function:
[tex]f(x)=y=\frac{1}{x+1}[/tex]
When (x + h), we have:
[tex]f(x+h)=y=\frac{1}{x+h+1}[/tex]
Next, we would find the derivative of f(x):
[tex]f'(x) =limh \rightarrow 0\frac{\frac{1}{x+h+1} -\frac{1}{x+1}}{h}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -(x+h+1)}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -x-h-1}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}\\\\f'(x) = \frac{-1}{(x+1)(x+1)} \\\\f'(x) = \frac{-1}{(x+1)^2}[/tex]
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What is the perimeter of ABDE?
Answer:
answer C.
Step-by-step explanation:
the base of the triangle is 4 units.the other leg is sqrt5.
the last leg is 4 +9 = 13 so it is sqrt 13.
add them all up together and you get 4+sqrt 13 + sqrt 5 which is C.
hey I will guess you are above oklahoma because it is raining(bottom right) and your temp starts with 6
1. 6 tractors take 7 days to collect the harvest. How long does it take 12 tractors to do the same work? ANSWER MUST BE IN 1 DECIMAL PLACE.
2. 3 kitchen assistants can prepare 10kg of vegetables in 45 minutes. How long would it take 20 assistants to prepare the same amount? ANSWER MUST BE IN 1 DECIMAL PLACE.
MARKING FIRST ANSWER AS BRAINLIEST.
Answer:
1.
3.5 days
2.
6.75 minutes, 6 minutes 45 seconds, 6.8 minutes to 1 dp
Step-by-step explanation:
1.
With double the amount of tractors it will take half the time.
7 divided by 2 is 3.5
2.
This is an example of inverse proportion. The job that has to be done to to prepare the vegetables, That stays the same.
However, the more people there are to do the work, the quicker it will get done.
There is a constant to be found:
x multiplied by y equals k
3 x 45 = 135
For 20 people:
20 x y = 135
135 divided by 20 is:
6.75, or 6.8
find the selling price of a $36 item after a 50% markup
Answer:
$54
Step-by-step explanation:
36 divided by 2= 18
$36+$18=$54
I will mark brainliest!!!
What is the slope?
A. 3/2
B. 1/2
C. 3/4
D. 2/3
(50 points) The points show the locations of different stores in a mall. Each unit represents 1 meter
Answer:
5.1m
Step-by-step explanation:
Distance=[tex]\sqrt{5^{2} +1^{2} }[/tex]
=5.1
Answer:
5.1 meters
Step-by-step explanation:
To Know :
Coordinates of Clothing Store = (5, -6)Coordinates of Music Store = (0, -5)Applying Distance Formula :
Distance = √(0 - 5)² + (-5 + 6)²Distance = √(-5)² + (1)²Distance = √25 + 1Distance = √26 metersDistance = 5.1 metersDetermine the domain and the range of the relation, and tell whether the relation is a function.
{(10,10), (26,−6), (40,10), (10,1), (56,1)}
Answer:
Step-by-step explanation:
How do you tell if a relation is a function using domain and range?
Find the domain by listing all the x values from the relation. Find the range by listing all the y values from the ordered pairs. Repeated values within the domain or range don't have to be listed more than once. In order for a relation to be a function, each x must correspond with only one y value.
which means
There is not a function
because the domain value 10 is paired with both and 10 and 1
and the domain is 10,26,40,56
Anna paid € 2800 for a dress. Payment was made after the price of the dress was reduced by 30%. What was the starting price?
Answer:
$4000
Step-by-step explanation:
so $2800 was the starting price
100%-30%=70%
So 2800=70%
2800/7=400
400=10%
400*10=$4000
I NEED HELP WITH THISSS PLSSS I HAVE NO IDEA HOW TO DO IT
I need help too cause i have a quiz for it to take please help me
Step-by-step explanation:
an account transaction log is simply a sequence of basic additions and subtractions.
he made a mistake in line 4 : $180 - $188 = -$8 and not $8.
he missed that this was going below zero and needed a "-" sign.
from there on everything else is wrong too (although the individual calculations are correct) - the balances are off by $16 (2×8 from -8 to +8) :
+$20 gave the real balance of $12 and not $28.
-$5.95 gave the real balance of $6.05 and not $22.05.
Parents plan to ship some items to their child who is attending college out of town. The
student definitely needs towels, which weigh 9 pounds. The cost is $45 to ship up to 15
pounds.
a. Write and solve an inequality that represents how many pounds the parents can add
to the shipment without having to pay additional shipping costs.
b. The parents want to ship another item in addition to the towels. Which of the
following items can they send without paying extra shipping?
Item
Weight (pounds)
boots
9
tennis rackets
5
dishes
18
soccer equipment
14
1
The student decides that the tennis rackets and the towels are needed. How does
this affect the inequality in part (a)?
The inequality that represents this situation is x ≤ 6. On the other hand, the parents can ship only the tennis rackets.
What equality represents this situation?The equality that represents this situation is x ≤ 6 because the number of pounds that can be added (x) has to be 6 or less than 6.
What other item can they ship?The parents can only ship the tennis rackets because these are 5 pounds which meets the criteria of the inequality.
What happens if the student needs the towels and the tennis racket?The inequality would change to x ≤ 1 because the weight that could be added if he needs these producs changes to only 1 pound.
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What is the surface area of the
triangular prism shown?
Answer:
1120^2
Step-by-step explanation:
25x17=425
425+(8x25)=625
625+(8x15)=745
745+(15x25)=1120
Identify the CENTER: (x+3)^2 + (y-2)^2 = 64 *
(3,-2)
(9,4)
(-3,2)
8
Answer:
centre = (- 3, 2 )
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius )
(x + 3)² + (y - 2)² = 64 ← is in standard form
with centre (- 3, 2 )
What is the solution of logx 729=3?
The answer is 9 (B) on edge.
Answer:
x = 9
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
given
[tex]log_{x}[/tex] 729 = 3 then
729 = x³
note 729 = 9³ , so
9³ = x³ ( equating the bases) , gives
x = 9
Distribute: 2(3x + 4)
Answer:
6x+8
Step-by-step explanation:
2(3x+4)= 2(3x) + 2(4) = 6x+8
A triangular prism that has a volume of 24 cubic inches is changed by a scale factor of 5. Find the volume of the dilated cube.
A. 120
B. 600
C. 3000
D. 3600
==========================================================
Reason:
If the linear scale factor is 5, then the volume scale factor is 5^3 = 125
Meaning we'll multiply the old volume by 125 to get the new volume
new volume = 125*(old volume)
new volume = 125*(24)
new volume = 3000
---------------
A more in-depth look:
Consider a 2 by 2 by 2 block. Its volume is 2*2*2 = 8
Now multiply each dimension by 5, so we now have a 10 by 10 by 10 block. The new larger volume is 10*10*10 = 1000
The volume ratio is 1000/8 = 125, which matches with the value found earlier.
Since we multiplied each piece by 5, and did so three times, we're really multiplying the volume by 5*5*5 = 125.
5. in the following figure, GE= r.
where ris the radius of the circle.
a) What is the nature of the triangle GEO? Justify your answer.
b) By calculating SEG in two different ways. using ares of the
Answer + Step-by-step explanation:
a) GE = r = GM
Then GEO is an isosceles triangle
b) since GEO is an isosceles triangle then :
m∠SEG = m∠GOM = measure of the arc GM (mGM) (result 1)
On the other hand :
m∠SEG = m∠SEG = (1/2)×(mAS - mGM) (it’s a formula) (result 2)
Now ,we equate (result 1) and (result 2) :
m∠SEG = mGM
m∠SEG = (1/2)×(mAS - mGM)
Then
mGM = (1/2)×(mAS - mGM)
c) mGM = (1/2)×(mAS - mGM)
⇔ 2mGM = mAS - mGM
⇔ 3mGM = mAS
⇔ 3m∠SEA = m∠SOA
Remember:
mGM = m∠GOM = m∠SEA
