Answer:
A
Step-by-step explanation:
I am kind of stuck on this question could someone explain and answer this question I would really appreciate it :)
Answer:
First one
Step-by-step explanation:
Supplementary angles basically means which angles added together equals 180 degrees, 180 degrees is also a straight line.
So the answer would be the first one because both the angles added together is 180.
1 point
The weights of laboratory cockroaches follow a Normal distribution with
mean 80 grams and standard deviation 2 grams. Use the figure from above.
About what percent of the cockroaches have weights less than 78 grams?
16%
none of these
32%
34%
O 2.5%
Answer:
16% of the cockroaches have weights less than 78 grams.
Option A is correct.
Step-by-step explanation:
Mean = 80 g
Standard Deviation = 2
We need to find percent of the cockroaches have weights less than 78 grams so, x=78
First we will find z using formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Putting values of x, mean and Standard Deviation to find z
[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{78-80}{2}\\z=-1[/tex]
We need to find P(z<-1)
Looking in the normal distribution table
[tex]P(z<-1)=0.15866\\P(z<-1)\approx 0.16\\Converting \ into \ percentage\\P(z<-1)=16\%[/tex]
So, 16% of the cockroaches have weights less than 78 grams.
Option A is correct.
The sum of 56x2 and 56x2 is 56x______?
Answer:
56x4
Step-by-step explanation:
56x2= 112 so since you have 56x2 twice you want to add 112+112 to get 224 now what you wanna do is to divide 56 from 224 and your answer will be 4 so you can say 56x4
Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(6, 0) and line x = −6.
The equation of the graph is [tex]x = \frac 1{24}y^2[/tex]
How to determine the equation?Generally, a point is represented as:
(x,y)
The line x = -6 means that:
(-6, y)
So, we calculate the distance between (x,y) and (-6, y) as follows:
[tex]d = \sqrt{(x + 6)^2 + (y - y)^2}[/tex]
This gives
[tex]d = \sqrt{(x + 6)^2 }[/tex]
Next, we calculate the distance between (6,0) and (x, y) as follows:
[tex]d = \sqrt{(x - 6)^2 + (y - 0)^2}[/tex]
This gives
[tex]d = \sqrt{(x - 6)^2 + y^2}[/tex]
Equate both distance expressions
[tex]\sqrt{(x + 6)^2} = \sqrt{(x - 6)^2 + y^2}[/tex]
Square both sides
[tex](x + 6)^2 = (x - 6)^2 + y^2[/tex]
Expand
[tex]x^2 + 12x + 36 = x^2 - 12x + 36 + y^2[/tex]
Evaluate the like terms
[tex]12x = - 12x + y^2[/tex]
Add 12x to both sides
[tex]y^2 = 24x[/tex]
Make x the subject.
[tex]x = \frac 1{24}y^2[/tex]
Hence, the equation of the graph is [tex]x = \frac 1{24}y^2[/tex]
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a crew of highway workers paved 2/15 mile in 20 min
4. Victoria fills a 15-gallon pool. She has a 2-liter
bucket she uses to fill the pool. If 1 gallon is
approximately 3.79 liters, what is the
maximum number of full buckets Victoria can
pour into the pool without it overflowing?
A. 56 buckets
B. 57 buckets
C. 28 buckets
D. 29 buckets
Geometry please help
will give Crown help Idk what this is1+1=?
Answer:
1+1=2
Step-by-step explanation:
1 as a single number plus another 1 as a single number is 2. like this:+=.
What is the product of 7×-6 1/8
Answer:
-42.875 or -42 7/8
Step-by-step explanation:
you can turn -6 1/8 into a decimal: -6.125 and multiply it with 7.
The product of the fraction 7 x -(6 1/8) is -42.875 or in fraction form -42 7/8.
We have expression: 7 x -(6 1/8).
First, write the mixed fraction into improper fraction as
Numerator = 8 x 6 + 1 = 49
Denominator = 8
Now, the product will be
7 x -(6 1/8)
= 7 x (-49/8)
= 7 x (-6.125)
= -42.875
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Faith spent $78 at Fashion Warehouse. She bought 2 shirts that each cost $17.50 and a pair of shoes. How much did she spend for shoes?
Answers Choices
A. 34.00
B. 60.50
C. 43.00
D. 113.00
Answer:
C. 43.00
Step-by-step explanation:
If we add up the amount she paid for shirts we would get 35, then we subtract 78 by 35 to get our answer.
solve 1,000x10 hint: use a strategy
Answer:
10000
Step-by-step explanation:
Answer:
10,000
Step-by-step explanation:
You just take the 0's and then you mutiply 1x1 and the answer you add the cero's you left the one from the number 10 and allso the ones from 1000
A car and a truck leave the same intersection, the truck heading north at 60 mph and the car heading west at 55 mph. At what rate is the distance between the car and the truck changing when the car and the truck are 30 miles and 40 miles from the intersection, respectively?
Answer: -81
Step-by-step explanation:
Let x = the car moving towards west = 30
Let y = truck moving towards north = 40
dx/dt = -55
dy/dt = -60
We the use Pythagoras theorem to solve further where,
s² = x² + y²
s² = 30² + 40²
s² = 900 + 1600
s² = 2500
s =✓2500
s = 50
We then differentiate with respect to t, then we will have:
s² = x² + y²
2s ds/dt = 2x ds/dt + 2y dy/dt
50 ds/dt = (30 × -55) + (40 × -60)
50 ds/dt = -1650 - 2400
50 ds/dt = - 4050
ds/dt = -4050/50
ds/dt = -81
Geometry: Express the area of each figure as a monomial. I need help with this, anyone?
Answer:
answer 28ab³ I think maybe
The area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].
Here,
The formula to calculate the area of a right-angled triangle is:
Area = (1/2) * base * height
In this case, the right-angled triangle has a height of [tex]6ab^3[/tex] and a base of [tex]4a^2b[/tex].
Now, let's substitute these values into the formula:
Area = [tex](1/2) * 4a^2b * 6ab^3[/tex]
Now, simplify the expression:
Area = [tex]2 * a^2b * 6ab^3[/tex]
To find the monomial representation, multiply the coefficients and add the exponents of like terms:
Area = [tex]12a^{(2+1)}b^{(1+3)[/tex]
Finally, simplify the exponents:
Area = [tex]12a^3b^4[/tex]
So, the area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].
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Give the values of the coefficients [a], [b], and [c] regarding the product in the form of ax^2+bx+c. Use "0" if the term isn't present.
==================================================
Explanation:
Expand out the expression using the FOIL rule
(x+7)(x-7)
x^2 - 7x + 7x - 49
1x^2 + 0x - 49
We see that a = 1, b = 0, c = -49
-------------
Another way to expand is to do the following
(x+7)(x-7)
y(x-7) .... let y = x+7
xy - 7y .... distribute
x( y ) - 7( y )
x( x+7 ) - 7( x + 7 ) ... replace y with x+7
x^2 + 7x - 7x - 49 .... distribute
1x^2 + 0x - 49
We get the same result.
-------------
Lastly, a shortcut can be used as yet another method to expand.
The shortcut is the difference of squares rule
(a + b)(a - b) = a^2 - b^2
In this case, a = x and b = 7, so,
(a + b)(a - b) = a^2 - b^2
(x + 7)(x - 7) = x^2 - 7^2
(x + 7)(x - 7) = x^2 - 49
(x + 7)(x - 7) = 1x^2 + 0x - 49
which rational number is negative?
Answer:
-1/6, 2/-7, 30/11, 13/-19 and -15/23 are negative rationals
Find the dimensions of a rectangle with area 729000 m2 whose perimeter is as small as possible. (Give your answers in increasing order, to the nearest meter.)
Step-by-step explanation:
Area of a rectangle = Length * Width
A = LW
729000 = LW .... 1
Perimeter of a rectangle P = 2L+2W
P = 2L+2W
From 1;
W = 729000/L
P = 2L + 2(729000/L)
P = 2L + 1458000/L
To minimize the perimeter, dP/dL = 0
dP/dL = 2 - 1458000/L²
2 - 1458000/L² = 0
2L² - 1458000 = 0
2L² = 1458000
L² = 729000
L = √729000
Length = 853.8m
W = A/L
Width = 729000/853.8
Width = 853.8
Hence the dimension to the nearest meter is 854m by 854m
15. Harold learned that 6 out of 10 students at his school live within two miles of the school. If 240 students attend Grade 6 at his school, about how many of these students should Harold expect to live within two miles of the school? A 24 ® 40 © 144, 180
Answer:
144
Step-by-step explanation:
Write a equation(or whatever it is called)
6/10=x/240Cross multiply, 1440=10xDivide, 144=xCheck your work:
6/10=144/240Cross multiply, 1440=1440Who is the most powerful undertale character
Answer:
Asriel Dreemurr
Step-by-step explanation:
Answer:
clearly the gay robot
hes my favorite <3
How would you describe the relationship between the real zero(s) and x-intercept(s) of the function
f(x) =
3x(x - 1)
x2(x+3)(x + 1)
When you set the function equal to zero, the solution is x = 1; therefore, the graph has an x-intercept of (1,0).
O When you set the function equal to zero, the solutions are x = 0 or x = 1; therefore, the graph has x-intercepts at
(0, 0) and (1,0).
O When you substitute x = 0 into the function, there is no solution, therefore, the graph will not have any X-
intercepts.
Since there are asymptotes at x = -3, x = -1, and x = 0, the graph has no x-intercepts and therefore, no real
zeros.
The description of the relationship between the real zero(s) and x-intercept(s) of the function should be option A.
Relationship between the real zero(s) and x-intercept(s) of the function:Since it is given that
f(x) = 3x(x - 1)
x2(x+3)(x + 1)
Also, the function should be set out and equivalent to zero when x = 1
and, the graph should have an x-intercept of (1,0).
Therefore, the option A is correct.
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Answer:
AAAAAAAAAAAAAAAAAAAAAAAAAAAA
Step-by-step explanation:
Four students took an exam. The
fraction of the total possible points that each
received is given. Which student had the highest
score? If students receive a whole number of
points on every exam item, can the exam be
worth a total of 80 points? Explain.
Answer:
what are the fractions
An office building has 66000 of net income and sold for 550000. What is the rate of return
Answer:
The rate of return will be: 12%
Step-by-step explanation:
Given
Net income = 66000As the building was sold for 550000
Market value = 550,000Return can be calculated by dividing the market value by the net income using the formula
Return = Net income / Market value
= 66000 / 550,000
= 0.12 which is 12%
Therefore, the rate of return will be: 12%
The number of passengers in the bus double every minute. The bus was full of
passengers at 7.45am. When was it one quarter full?
Answer:
7:43 am.
Step-by-step explanation:
it was 1/2 full one minute ago then another 1/2 = 1/4 full 2 minutes ago.
Knowing how the bus fills, we want to find the time where the bus is one-quarter full.
The bus is one-quarter full at 7:43 am.
We know that at 7:45 am the bus is full. Let's say that the full bus has N people inside.
Each minute the population doubles, so if we go backwards, each minute the population is divided by 2.
One minute before, the bus must have half of the above population, meaning that at 7:44 am, the bus has N/2 people.
Another minuter before the people inside is halved again, then at 7:43 am we will have (N/2)/2 = N/4 people.
And if N is the people in a full bus, then N/4 represents the buss a quarter full.
Then we can answer the question as:
The bus is one-quarter full at 7:43 am.
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what should be added to 7 3/5 to get 18 (Step explanation )
Which direction am I going if I drive from Washington DC to Dallas texas
Answer:
north
Step-by-step explanation:
(45x-7)4x=57 solve this and ill make out with you
Answer:
After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]
Step-by-step explanation:
We need to solve the equation: [tex](45x-7)4x=57[/tex]
Solving:
[tex](45x-7)4x=57[/tex]
Multiply 4x with terms inside the bracket
[tex]180x^2-28x=57[/tex]
[tex]180x^2-28x-57=0[/tex]
We need to solve above equation to find value of x
Using quadratic formula for finding value of x: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a=180, b=-28 and c=-57
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-28)\pm\sqrt{(-28)^2-4(180)(-57)}}{2(180)}\\x=\frac{28\pm\sqrt{784+41040}}{360}\\x=\frac{28\pm\sqrt{41824}}{360}\\x=\frac{28\pm204.51}{360}\\x=\frac{28+204.51}{360} \ or \ x=\frac{28-204.51}{360}\\x=0.645 \ or \ x = -0.490[/tex]
Values of x are [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]
So, After solving [tex](45x-7)4x=57[/tex] we get [tex]\mathbf{x=0.645 \ or \ x = -0.490}[/tex]
Find the area of the triangle 8 cm 15 cm
Answer:
60 cm squared
Step-by-step explanation:
area of a triangle is [tex]\frac{bh}{2}[/tex]
base and height are interchangable; 8 cm and 15 cm
[tex]\frac{8(15)}{2}[/tex]
[tex]\frac{120}{2}[/tex]
60
To rent a certain meeting room, a college charges a reservation fee of $36 and an additional fee of $5.60 per hour. The film club wants to spend at most $58.40
on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for 1.
Answer:
t≤4
Step-by-step explanation:
58.40≥36+5.60t
Solve like any equation
58.40≥36+5.60t subtract 36 from both sides
22.40≥5.60t divide by 5.60
t≤4
What is the x-coordinate of point B? Write a decimal coordinate.
(brainliest ) Edge 2020
The table shows the highest and lowest golf scores for your cousin and your friend over the summer. Find the ranges of golf scores for your cousin and your friend. Who has the greater range of scores?
highest +6, +3
lowest -2, -3
Answer:
Cousin has a greater range of score.
Step-by-step explanation:
Range = Highest No. - Lowest No.
Range of cousin's score = +6 - (-2)
= +6+2 = 8
Range of friend's score = -2 - (-3)
= -2 + 3 = 1
Cousin has a greater range of score.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807What is B^y=x in logarithmic form?
Answer:
The logarithmic function for x = 2y is written as y = log2 x or f(x) = log2 x. The number 2 is still called the base. In general, y = logb x is read, “y equals log to the base b of x,” or more simply, “y equals log base b of x.” As with exponential functions, b > 0 and b ≠ 1
Step-by-step explanation:
ttygytex x so r5f3ygthttg