Answer:
dependent events are if the outcome of one event affects the outcome of another
Determine the slope of the line that is perpendicular to the line y = -7x - 12.
Answer:
the slope that is perpendicular to line y=-7x-12 is 1/7
1/7 is the perpendicular slope
Step-by-step explanation:
The mass of 2 large boxes is 16,000 g. One box has a mass of 9,000 g. What is the mass of the other box in kilograms? (1,000 g = 1 kg) 25,000 kg 7,000 kg 25 kg 7 kg
Answer:
7 kg
Step-by-step explanation:
16000g = 16kg
9000g = 9kg
16 - 9 = 7kg
Answer:
The mass of the other box=7kg
Step-by-step explanation:
Subtract 16-9, and add 3 zeros or just write kg.
solve this equation 0.5x-0.3=0.2
Answer:
x = 1
Step-by-step explanation:
0.5x-0.3=0.2
1. Multiply both sides by 10.
0.5x*10-0.3*10=0.2*10
2. Refine.
5x-3=2
3. Add 3 to both sides.
5x-3+3=2+3
4. Simplify.
5x=5
5. Divide both sides by 5.
5x/5=5/5
6. Simplify.
x=1
Answer:
Step-by-step explanation:
0.5x - 0.3 = 0.2
add 0.3 to both the sides
0.5x - 0.3 + 0.3 = 0.2 + 0.3
0.5x + 0 = 0.5
0.5x = 0.5
[tex]x=\frac{0.5}{0.5}\\\\x = 1[/tex]
A rectangular pyramid has a height of 10 meters. The base measures 8 meters in length and 12 meters in width. Two different triangular cross sections are formed through the vertex and perpendicular to the base. What is the difference in the areas of the cross sections?
If someone is able to help me fast that would be great!!!
Step-by-step explanation:
(i) Area of the first cross section
base,b = 8 m, height,h = 10 m
Area of the triangle = [tex]\frac{1}{2}[/tex] bh
area = [tex]\frac{1}{2}[/tex] (8) (10)
area = 40 m²
(ii) Area of the second cross section
base,b = 12 m, height,h = 10 m
Area of the triangle = [tex]\frac{1}{2}[/tex] bh
area = [tex]\frac{1}{2}[/tex] (12) (10)
area = 60 m²
Difference in the areas of the cross sections = 60 - 40 = 20 m²
The amounts spent at a gift shop today are $19,$30,$28,$22,$26,and $26. What is the median and lower quartile?
Answer:
Step-by-step explanation:
The lower cortile is 19 because that's the lowest number and the medium cortile is 24 because it's in the middle.
Identify the graphed linear equation. A) y = 2 3 x + 3 2 B) y = 2 3 x - 3 2 C) y = - 2 3 x + 3 2 D) y = - 2 3 x - 3 2
Answer: the answer is C
Step-by-step explanation:
f(x) = 2x + 10 g(x) = 1(1.01)x
10 1.00
12 1.01
14 1.02
16 1.03
Which statement BEST compares the growth of the two functions as x approaches ∞?
A) The linear function will only exceed the exponential function if its initial value is greater.
B) The exponential function will only exceed the linear function if its initial value is greater.
C) The value of the linear function will eventually exceed the value of the exponential function.
D) The value of the exponential function will eventually exceed the value of the linear function.
Answer:
D
Step-by-step explanation:
I just did it on usatestprep so. its D
Answer:
d
Step-by-step explanation:
The value of the exponential function will eventually exceed the value of the linear function. A quantity increasing exponentially eventually exceeds a quantity increasing linearly.
Consider the two data sets. Which has the higher mean and median? What is the higher mean and median?
A) set 2; mean = 30.1 and median = 22.9
B) set 1; mean = 26.2 and median = 22.7
C) set 2; mean = 26 and median = 25
D) set 1; mean = 23.625 and median = 23.5
Set 1 mean - 23.625
Set 2 mean - 23.5
Set 1 median - 23.5
Set 2 median - 22.5
This shows the answer is D :)
Susie has 4 gallons of juice.How many cups of juice does she have?
ANSWER QUICKLY
Answer: 64 cups
Step-by-step explanation:
Each gallon has 16 cups so you multiply 16 by 4 because there are 4 gallons and you get 64. Hope that helped. :)
What is the circumference of circle P?
Express your answer in terms of
A square's diagonal is 28√2. What is the length of each side?
23
42
28
25
Answer:
28
Step-by-step explanation:
you times it by itself divide that by two and take the squre root
Describe any trends that you can see from the dot plot.
Help
Answer: Most planes flew below the optimal cruising speed. There is a cluster at the speeds 0.82 through 0.85. Also, the data is close to being symmetric
Step-by-step explanation:
PPPLLLZZ I NEED HELPP You plan to begin your journey in San Jose and make stops in Denver and Chicago on your way to New York City. Your father says that your journey will be about 3,000 miles. Is this a close estimation of the distance? Explain your reasoning.
Answer:
Yes, because 3,074.6 rounded would be closest to 3,000
Step-by-step explanation:
San Jose to Denver is 1,281 miles
Denver to Chicago is 1,004.7 miles
Chicago to new york city is 788.9 miles
When added up the total mileage is 3,074.6 miles
Answer:
Yes
Step-by-step explanation:
San Jose to Denver is 1281 miles
Denver to Chicago is 1002 miles
Chicago to New York is 789 miles
1281+1002+789 =3072
3000 miles is a close estimate
Our estimate is within 100 miles so I would say it is close
Can anyone help me with this? I will mark you as brainliest
Answer:
2/7
then 2/14
Step-by-step explanation:
Let P(H)=p be the probability of one head. In many scenarios, this probability is assumed to be p=12 for an unbiased coin. In this instance, P(H)=3P(T) so that p=3(1−p)⟹4p=3 or p=34.
You are interested in the event that out of three coin tosses, at least 2 of them are Heads, or equivalently, at most one of them is tails. So you are interested in finding the likelihood of zero tails, or one tails.
The probability of zero tails would be the case where you only received heads. Since each coin toss is independent, you can multiply these three tosses together: P(H)P(H)P(H)=p3 or in your case, (34)3=2764.
Now we must consider the case where one of your coin flips is a tails. Since you have three flips, you have three independent opportunities for tails. The likelihood of two heads and one tails is 3(p2)(1−p). The reason for the 3 coefficient is the fact that there are three possible events which include two heads and one tails: HHT,HTH,THH. In your case (where the coin is 3 times more likely to have heads): 3(34)2(14)=2764.
Adding those events together you get p3+3(p2)(1−p)=5464. Note that the 3 coefficient
Solve Thais equation
2x=8(4x-5).
Answer:
[tex]x = \frac{40}{-30\\}[/tex]
Step-by-step explanation:
Lets start by working with our numbers on the right side of the equation.
Begin by using distributive property, turning:
2x = 8(4x - 5) into 2x = 32x - 40
To make things easier, lets subtract 32x on both sides
-30x = 40
Finally, divide by -30 on both sides to get our answered, simplified if necessary:
[tex]x = \frac{40}{-30} = \frac{4}{-3} = -1.33[/tex]
Which expression is equivalent to (-8) - (-2)
Answer:
-6
Step-by-step explanation:
-8 - (-2)
A negative negative is a positive
-8+2
-6
Answer:
-6
Step-by-step explanation:
(-8) - (-2)
(-8) + 2 >>because - ( - ) = +
2 - 8
= -6
Hope this helps!
Remember:
- (-) = +
- (+) = -
+ (+) = +
Which values are solutions to Kz3 >-2? Select two options.
k= -10
k= -7
k=-1
k=0
Save and Exit
Next
Submit
Mark this and retum
The solutions to the inequality (k - 3)/4 > -2 are k = -1 and k = 0. This is determined by solving the inequality step by step and checking each given value.
To find the solutions, we need to solve the inequality step by step:
Start with the inequality: (k - 3)/4 > -2Multiply both sides by 4 to clear the denominator: k - 3 > -8Add 3 to both sides to isolate k: k > -5Now we find the values from the given options that satisfy k > -5:
k = -10: -10 > -5 (No)k = -7: -7 > -5 (No)k = -5: -5 > -5 (No)k = -1: -1 > -5 (Yes)k = 0: 0 > -5 (Yes)Thus, the values that are solutions to the inequality are k = -1 and k = 0.
The complete question is
Which values are solutions to (k - 3)/4 > - 2' Select two options.
k = - 10
k = - 7
k = - 5
k = - 1
k = 0
Find the average rate of change for f(x) = x - 8x + 15 from x = -3 to x = 2.
A)
-3
TM and
Submit
Answer:
Look at the picture
Step-by-step explanation:
The answer is B. -9
please help me with this question (:
[tex] \frac{59 + x}{2} = 78 \\ 59 + x = 156 \\ x = 97[/tex]
Answer: VW=97
Triangle QRS is transformed as shown on the graph. On a coordinate plane, 2 triangles are shown. The first triangle has points Q (2, negative 1), R (5, negative 2), S (4, 1). The second triangle has points Q prime (negative 1, negative 2), R prime (negative 2, negative 5), S prime (1, negative 4). Which rule describes the transformation? R0, 90° R0, 180° R0, 270° R0, 360°
Answer:
270°
Step-by-step explanation:
Q: (2,-1) --> (-1,-2)
R: (5,-2) --> (-2,-5)
S: (4,1) --> (1,-4)
In general
(x , y) --> (y, -x)
90° clockwise rotation
270° anti-clockwise rotation
Answer:
The correct answer is 270°
there’s 2 formulas
A=1/2ap and A=1/2ans
a-apothem
p-perimeter
n-number of sides
and “s” is if there’s an outsides number
The are of the given heptagon is 243 u³.
In the given polygon,
Number of sides = 7
Hence this is a heptagon, which has,
Length of edge = 9 unit
Polygons are two-dimensional geometric figures with a fixed number of sides. A polygon's sides are made up of straight line segments that are joined end to end. As a result, the line segments of a polygon are referred to as sides or edges.
Since we know that,
Area of heptagon = (7 / 4) × edge² × cot(π/7)
Therefore,
Area of heptagon = (7 / 4) × 9² × cot(π/7)
= (7/4) x 81 x 2.07
≈ 243 u³
Hence,
The area is approximately 243 u³
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At a yearly basketball tournament, 84 different teams complete, after each round of the tournament, one-fourth of the team remain.
Create a function which models the above scenario and explain how you arrived at each part of the function
Answer:
84*(1/4)^x
Step-by-step explanation:
84 is the constant as it is the starting amount. However each round (x because the amount of rounds is constantly changing) divides the team by 4 or multiplies by 1/4 (Reciprocal).
So, if you wanted to see if the amount of teams after three rounds you would do:
84 * 1/4 * 1/4 * 1/4. However, any number times itself is an exponent, so we would simplify to 84³. But due to the fact we do not know how many rounds we are going to calculate we change the exponent to x.
What is the slope of the line through (-2,-6) and (2, 2)?
Choose 1 answer:
Answer:
2
Step-by-step explanation:
The slope given two points is found by
m= (y2-y1)/(x2-x1)
= (2 - -6)/(2 - -2)
=(2+6)/(2+2)
=8/4
2
Determine the x-intercepts of the function. Check all
that apply.
(-2,0)
(-1, -2)
(0,0)
(1,0)
(2,0)
The x-intercepts of the function are (0,0) and (-2,0). Therefore, options A and C are correct.
What is an intercept?To determine the x-intercepts of a function, we need to find the values of x when the function value, f(x), is equal to zero. Therefore, we need to plug in 0 for f(x) and solve for x.
From the given points, we can see that the function passes through the points (-2,0), (0,0), and (1,0), (2,0). Therefore, the x-coordinates of these points are the possible x-intercepts of the function.
Setting f(x) to zero for each of the points, we get:
At (-2,0): f(-2) = 0, so x = -2 is an x-intercept.
At (-1,-2): f(-1) = -2, so x = -1 is not an x-intercept.
At (0,0): f(0) = 0, so x = 0 is an x-intercept.
At (1,0): f(1) = 0, so x = 1 is an x-intercept.
At (2,0): f(2) = 0, so x = 2 is an x-intercept.
Therefore, the x-intercepts of the function are (0,0) and (-2,0).
Learn more about intercept here:
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Solve the system of equations.
x+y+z=10
5x+3y=14
x−2y+z=2.5
PLZ HELP!!!!!!!!!!
Answer:
y=3,x=1.3,z=6.2 :)
Step-by-step explanation:
y=3,x=1.3,z=6.2 :)
So, we have:
: x+y+z=10 [equation 1]
: 5x+3y=14 [equation 2]
: x−2y+z=2.5 [equation3]
(I'm going to assume that you know how to solve equations with 2 variables)
1. eliminate a variable to get 2 variables
Let's reverse equation 2:
-x+2y-z= -2.5
and take equation 1, to try to eliminate "z"
x+y+z=10
add up the 2 equations to get:
3y=7.5
and solve to get
y=2.5
2. substitute what we already solved into another equation
Luckily, equation 2 only has 2 variables, and one is y, so we can sub it in.
5x+3y=14 --> 3x+3(7.5)=14
solve to get
x=1.3
3. Substitute both of our variables in to get the final variable: z
Let's take the first equation.
x+y+z=10 --> 1.3+2.5+z=10
solve to get
z=6.2
I hope this helps you!
Jabier places five cards that are labeled 1 to 5 faced down on the table and mixes them up. What is the likelihood that his archenemy Luke will draw an odd numbered card?
A.Impossible
B.Unlikely
C.As likely as not
D. Certain
which number rational?
Answer:
A rational number is a number that can be express as the ratio of two integers.
Step-by-step explanation:
A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever).
Aponi built a toy chest for her niece. It has a volume of 12 cubic feet, the chest is 3 feet long and 2 feet wide. How deep is it?
Answer:
The chest is 2 feet deep.
Step-by-step explanation:
Given:
Aponi built a toy chest for her niece. It has a volume of 12 cubic feet, the chest is 3 feet long and 2 feet wide.
Now, to find the depth of it.
Length = 3 feet.
Width = 2 feet.
Volume = 12 cubic feet.
Now, to find the depth by using formula:
[tex]Volume= length\times width\times depth\\\\12=3\times 2\times depth\\\\12=6\times depth\\\\Dividing\ both\ sides\ by\ 6\ we\ get:\\\\2=depth\\\\Depth=2\ feet.[/tex]
Therefore, the chest is 2 feet deep.
3.) You are wrapping a present in shape of a tube,
which is 12 feet long and has a radius of 2 ft. You
have 175 ft² of wrapping paper, do you have
enough? Find the surface area to provide your
correct answer.
Answer:
56π = 175.929, so no.
Step-by-step explanation:
Surface area formula: 2B+Ph (where B is area of the base, P is perimeter of the base, and h is height.)
2(4π) + 4π(12)
8π +48π
56π = 175.9 ft^2