what does –x2 – 6x – 8 look like on a graph
The 2 is a power
Anybody know the answer to this question?
A and b are independent events. the probability that a will happen is 1/4 and the probability that b will happen is also 1/4. what is the probability they will both happen?
For independent events A and B, the probability of both happening is the product of their individual probabilities. In this case, the probability of both A and B happening is 1/16.
Explanation:In the field of probability in mathematics, when dealing with independent events like A and B in your question, the probability of both A and B happening (denoted as P(A AND B)) is calculated by multiplying the probability of A happening (P(A)) by the probability of B happening (P(B)) This is known as the multiplication rule for independent events.
So, if the probability that A will happen (P(A)) is 1/4, and the probability that B will happen (P(B)) is also 1/4, then the probability that both A and B will happen (P(A AND B)) is (1/4) * (1/4) = 1/16.
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What is the value of x
A sporting goods store sells 2 fishing reels and 5 fishing rods for $195. Later, they sell 4 fishing reels and 3 fishing rods for $131. Find the price of each item.
does the lateral area in a prism include the base?
Food costs are expected to rise 6% each month for the next year. which series correctly depicts the cost (to the nearest cent) for the next three months if the current cost is $150 per month? $150.00 + $159.00 + $168.00 $150.00 + $159.00 + $168.54 $159.00 + $168.00 + $177.00 $159.00 + $168.54 + $178.65
The two triangular prisms shown are similar. The dimensions of the larger prism were multiplied by a scale factor of to create the smaller prism.
When the large prism was reduced, the surface area changed by a factor of
A.64/125
B.16/25
C.4/5
D.10/8
Answer: B. [tex]\frac{16}{25}[/tex]
Step-by-step explanation:
We know that if a figure or solid shape is dilated to create a new shape then the new shape is similar to the original shape.
Also, the scale factor of dilation is the ratio of the sides of new shape to the corresponding sides of the original shape .
Let k be the scale factor of dilation, then
Given : Original shape - larger prism
New shape - smaller prism
Surface area of prism with all sides equal (a)=[tex]4a^2[/tex]
Surface area of original prism =[tex]4(10)^2=400[/tex]
Surface area of new prism =[tex]4(8)^2=256[/tex]
[tex]\Rightarrow k=\frac{256}{400}=\frac{16}{25}[/tex]
Hence, the scale factor = [tex]\frac{16}{25}[/tex]
A test was marked out of 80. A boy scored 60% of the marks on the test. How many marks did he score?
Write an equation of the direct variation that includes the point (6, –2). y = –3x
Answer:
-1/3x is the answer
Step-by-step explanation:
Do the problem.
An equation of the direct variation that includes the point (6, –2) is y = -1/3(x).
What is a direct variation?In Mathematics, a direct variation is also referred to as direct proportion and it can be modeled by using the following mathematical expression or function:
y = kx
Where:
y represents the y-variable or dependent variable.x represents the x-variable or independent variable.k represents the constant of proportionality.Under direct variation, the value of x represent an independent variable while the value of y represents the dependent variable. Therefore, the constant of proportionality (variation) can be calculated as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = -2/6
Constant of proportionality (k) = -1/3
Therefore, the required equation is given by;
y = kx
y = -1/3(x)
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Why does it take more centimeters than inches to measure the same distance?
Someone please help me?
Karla and her dad were nailing up plywood, they started at 10:00. Karla drove 30 nails in 10 minutes, the time it took her dad to drive 50 nails. At that rate for each, when did they finish driving 392 nails in all ?
There are 10 red and blue marbles, among which r are red. How many are blue? Denote blue marbles as b
Answer:
equation=r+b=10
answer=10-r
Its common sense y'all! IF you don't have enough information,just make up a equation! And use the variables as your numbers!
There are 10 - r blue marbles
How to determine the number of blue marbles?The distribution of the marbles are given as:
Red = r
Blue = b
Total = 10
This means that:
b + r = 10
Solve for b
b = 10 - r
Hence, there are 10 - r blue marbles
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The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h. A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 130 feet per second. Which equation correctly models the ball's height as a function of time?
The maximum height at the moment is 266.0625 ft.
Projectile's heightThe equation for a projectile's height versus time is
[tex]&h(t)=-16 t^{2}+V t+h \\[/tex]
h = 2
V = 130
Substitute these values into the function
[tex]$h(t)=-16 t^{2}+130 t+2$[/tex]
Take the first derivative
[tex]$h^{\prime}(t)=-16* 2 t+130[/tex]
[tex]=-32 t+130$[/tex]
Equate the derivative with zero [tex]$h^{\prime}(t)=0$[/tex].
Solve the equation -32 t + 130=0
32 t = -130
t = -130 /(-32)
= 4.0625(s) .
Find the maximum height at the moment
t = 4.0625 (s)
h(4.0625) [tex]= -16(4.0625)^{2}+130 * 4.0625+2[/tex]
= - 264.0625+528.125+2
= 266.0625 ft.
Therefore, the maximum height at the moment is 266.0625 ft.
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Aaron is rolling the fair number cubes. What is the probability both cubes show a 5
A standard number cube is tossed. Find P (3 or odd)
A. 1/2
B. 2/3
C. 1/3
D. 1/6
Help me with this algebra problem. Thank you :)
what is the slant height of the cone
For a propular Broadway musical the theater box office sold 356 tickets at $80 apiece,275 tickets for $60 apiece and 369 tickes $45 apiece. How much money did the box office take in
What is the equation of the quadratic graph with a focus of 4,0 and a directrix of y=10
A professional golfer gets a hole-in-one 0.003% of the time they try on a hole. If the golfer plays 32,000 holes over the course of their professional career, about how many hole-in-ones should they expect over their career?
96 holes I think is the correct answer
This image shows a square pyramid. What is the surface area of this square pyramid? 36 ft² 72 ft² 78 ft² 84 ft² Note: Image not drawn to scale. The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge. The length of the base edge is 6 feet. The lateral edge makes a 45 degree angle with the base edge.
The square's area is relatively simple:
A=b²
A=6²=36 ft²
But now let's observe the triangles, a triangle's area is:
A=(1/2)*b*h
the base is equal to 6 ft
b=6 ft
AC=BC----------> because the angle is 45°
AC=6 ft/2----> 3 ft
so
BC=3 ft
A=(1/2)*6*3----> 9 ft²
Multiply the triangle's area by four to account for all four triangular faces and add the squares area for your answer
Surface area=36 +4*9-----> 72 ft²
the answer is
72 ft²
Answer:
72
Step-by-step explanation:
just took quiz
Two campers leave their campsite at point A to go on a hike. Camper one heads east for 2 miles, then heads north 1 mile to point B. Camper two heads north for 4 miles, then east for 3 miles to point C. Referencing the triangle formed by A, B, and C, m
A.
27°
B.
36°
C.
45°
D.
53°
Answer:
its not C. It's A. 27
I just did it with my math teacher
a ice cream shop offers 5 different flavors of ice cream and 12 different toppings how many choices are possible for a single serving of ice cream with one topping
a. 18
b. 22
c. 46
d. 60
PLZ HELP
Answer:
D)60
Step-by-step explanation:
All you do is multiply 5 by 12.
5x12=60
Please Help! 16 points!
The equation 1.6x − 2.2 = 1.4x can be transformed to form which of the following expressions?
Select one:
a. 3.0x = 2.2
b. 0.2x = −2.2
c. 3.0x = −2.2
d. 0.2x = 2.2
Answer:
d
Step-by-step explanation:
Using differentiation from first principles, prove that the gradient of the line y=mx + c is m
15 min left! Anyone know this geometry question?
What are angle a and the 60-degree angle to one another?
If Jane has 3 3/4 dozen boxes of envelopes, and she ordered 11 1/2 dozen more, how many dozen boxes will she have in all?
Final answer:
Jane has a total of 61/4 dozen boxes of envelopes after adding the original 3 3/4 dozen with the additional 11 1/2 dozen she ordered.
Explanation:
If Jane has 3 3/4 dozen boxes of envelopes, and she orders 11 1/2 dozen more, we must add these two amounts together to find out how many dozen boxes she will have in all. First, we convert 3 3/4 to an improper fraction: 3 x 4 + 3 = 12 + 3 = 15, so 3 3/4 dozen becomes 15/4 dozen. Similarly, we convert 11 1/2 to an improper fraction: 11 x 2 + 1 = 22 + 1 = 23, so 11 1/2 dozen becomes 23/2 dozen.
Next, we add the two amounts of dozens of boxes together:
(15/4) dozen + (23/2) dozen
To add these fractions, we need a common denominator, which is 4, so we convert 23/2 to 46/4.
(15/4) dozen + (46/4) dozen = (61/4) dozen
So, in total, Jane will have (61/4) dozen boxes of envelopes.