Answer:
Angle A and L are 140 degrees each.
Step-by-step explanation:
Since GO and AL are parallel to each other, we can use the same side interior theorem to figure out angle A and L. Let's focus on GA first. We know that same side interior angles are supplementary (sum is 180 degrees). We know angle G is 40 degrees, so to figure out angle A, you do 180-40 which equals 140. So angle A is 140 degrees. You repeat this process for OL and you should also get 140 degrees for L.
Find the largest value of x that satisfies the equation |5x − 1| = x + 3.
Answer:
1
Step-by-step explanation:
Since you are going for the largest value of x that satisfies the equation, you don't need to worry about negative numbers, and therefore don't need to worry about the absolute value.
5x-1=x+3
5x=x+4
4x=4
x=1
Hope this helps!
a food scientist wants to know if increasing the amount of lemon juice in a hummus recipe by 10% will increase the shelf life of the product, so he prepares 100 Badges of the recipe - 50 following the old recipe and 50 with extra lemon juice –and?checks each batch once per day to see how long it stays fresh. What type of data source is this?
Answer:
b. Experiment
Step-by-step explanation:
Setting up conditions so that you can examine the outcome is called an "experiment."
Answer:
[tex]\fbox{\begin{minipage}{10em}Option B-Experiment\end{minipage}}[/tex]
Step-by-step explanation:
As described, the food scientist performs the research based on the actual data, without using a computer or any simulation devices.
=> The data source is not generated from a computer simulation.
=> Option A-Simulation is incorrect.
The food scientist intentionally prepares the research by conducting an experiment, in which 100 badges are used, 50 badges following the old recipe and 50 badges with extra lemon juice.
=> This is not a subjective process, but a purposely attempting to observe the amount of lemon juice in a specific manner.
=> This is not a survey.
=> Option C-Survey is incorrect.
=> Option B-Experiment is correct.
Hope this helps!
:)
The distance between the Sun and the Earth is 1 .496 x 1O^8km and distance between the Earth and lhe Moon is 3.84 x 10^8m. During solar eclipse. The Moon comes in between the Earth and the Sun. What is the distance between the Moon and the Sun at that particular time?
Answer:
1.49216*10^8 km
Step-by-step explanation:
The first thing is to pass all the distances to the same unit system, since the distance from the earth to the sun is in kilometers and from the earth to the moon is in meters, therefore we will pass the distance of the moon in kilometers:
3.84 x 10 ^ 8m * 1 km / 1000 m = 3.84 x 10 ^ 5 km
To calculate the distance between the moon and the sun, it would be the difference between the distance they give us in the statement, because they have a point in common which is the earth, it would be:
1.496 x 10 ^ 8 km - 3.84 x 10 ^ 5 km = 149216000 = 1.49216 * 10 ^ 8 km
Therefore the distance between the moon and the sun is 1,49216 * 10 ^ 8 km
HELP ME PLEASE ITS NOT THAT HARD
Answer:
tan A = 28/45
Step-by-step explanation:
opposite side
the tangent function is defined as tan A = ------------------------
adjacent side
Here the length of the side opposite angle A is 28 and that of the side adjacent to A is 45. Thus, the tangent of angle A is
tan A = 28/45
Help
Two distinct number cubes are rolled together. Each number cube has sides numbered 1 through 6.
What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?
Enter your answer, in simplest fraction form, in the box.
Answer:
The probability is 2/3
Step-by-step explanation:
The first thing to write here is the sample space.
I have shown this in the attachment.
Kindly note that the number of expected outcome is 36
The outcome we are looking at is either an even sum or a multiple of 3
These are what i have circled in the addition results
The number of circles is 24
The probability is thus 24/36 = 2/3
Please help on this !!!!!!!!!!! Will mark brainliest answer !!!!!!!!!
Answer:
the smallest r is the 4r and the biggest r is the r^2
VERTEX (-2,-64)
Step-by-step explanation:
Answer:
smaller r = -10
larger r = 6
The ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]
Step-by-step explanation:
We have the function [tex]f(r)=r^2+4x-60[/tex]
In order to factor this quadratic equation, we need to look for two numbers that will
Add together to get 4
Multiply together to get -60
Lets look for the numbers that multiply to give us -60.
-1 and 60
1 and -60
2 and -30
-2 and 30
3 and -20
-3 and 20
4 and -15
-4 and 15
5 and -12
-5 and 12
6 and -10
-6 and 10
Now, we just need to determine which of these numbers will add together to get us 4.
Those two numbers would be -6 and 10.
This means that our factored form of this equation will be
[tex]f(r)=(r-6)(r+10)[/tex]
From this, we can find our roots, which are the solutions to the equation when it is equal to 0.
[tex](r-6)(r+10)=0\\\\r=-10, r=6[/tex]
These are our r values.
The vertex of a parabola will always be directly between the two roots.
The number that is between -10 and 6 is [tex]r=-2[/tex]
To find the y-value of the coordinate pair, we just need to plug -2 into our function.
[tex]f(-2)=(-2)^2+4(-2)-60\\\\f(-2)=4-8-60\\\\f(-2)=-64[/tex]
This means that the ordered pair for the vertex of the parabola is [tex](-2,-64)[/tex]
What’s the 73rd term of the sequence 18,30,42
Answer:
Let's find the explicit rule for this arithmetic sequence. We have:
aₙ = a₁ + (n - 1) * d
= 18 + 12 * (n - 1)
= 12n + 6.
The 73rd term is 12 (73) + 6 = 882.
According to exponent rules, whne we multiply exponential expressions we___the exponents
Answer:
add
Step-by-step explanation:
is the function in the graph non-linear?
4
3
-32
2
5
O Yes, because it has a constant rate of change.
O Yes, because it does not have a constant rate of change.
No, because it has a constant rate of change.
No, because it does not have a constant rate of change.
Answer:
B. Yes, because it does not have a constant rate of change.
Step-by-step explanation:
For a function to be a function (or linear), the rate of change MUST be proportional. In this data set, the numbers do not seem proportional, which makes it non-linear.
Johann baked 24 cookies for a picnic with his
friends. Of the 10 friends he invited, 7 friends
were able to attend the picnic. If Johann gave -
each of his friends the same number of
cookies and had 3 cookies left for himself, how
many did each friend get?
Answer: Each friend got 3 cookies.
Step-by-step explanation:
Johann gets three cookies so 24-3=21. Divide it by the seven friends that came. 21/7=3 cookies.
Answer:
Step-by-step explanation:
So 7 of his friends came to the party and 3 cookies were left for himself. To find how many cookies each friend got, first subtract the 3 cookies Johann has from the total.
24-3=21
Then divide 21 by the number of friends.
21÷7=3
So each friend got 3 cookies.
part 1. Find the value of the trig function indicated, use the Pythagorean Theorem to find the 3rd side if you need it
Answer: [tex]\bold {1)\ \cos\ \theta}=\dfrac{\sqrt2}{2}\qquad 2)\ \tan \theta =\dfrac{1}{3}\qquad 3)\ \cos\ \theta=\dfrac{3\sqrt{13}}{13}\qquad 4)\ \cos\ \theta = \dfrac{2\sqrt5}{5}}[/tex]
Step-by-step explanation:
Pythagorean Theorem is: a² + b² = c², where "c" is the hypotenuse
[tex]1)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt2}\quad =\large\boxed{\dfrac{\sqrt2}{2}}[/tex]
Note: 2² + 2² = hypotenuse² → hypotenuse = 2√2
[tex]2)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{2}{2\sqrt2}\quad =\dfrac{5}{15}\quad \rightarrow \large\boxed{\dfrac{1}{3}}[/tex]
Note: hypotenuse not needed for tan θ
[tex]3)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3}{\sqrt{13}}\quad =\large\boxed{\dfrac{3\sqrt{13}}{13}}[/tex]
Note: 2² + 3² = hypotenuse² → hypotenuse = √13
[tex]4)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{2\sqrt5}\quad =\large\boxed{\dfrac{2\sqrt5}{5}}[/tex]
Note: hypotenuse given in problem
72= 27+ 9s solve the equation
Answer:
s=5
Step-by-step explanation:
72=27+9s
Subtract 27 from both sides.
72-27=9s+27-27
45=9s
Divide 9 from both sides.
5=s
Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive. Event A and Event C are not mutually exclusive.
P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
What is the probability of the complement of Event A?
A) 1.00
B) 0.55
C) 0.10
D) 0.45
Answer:
B) 0.55
The probability of the complement of Event A ( P( A⁻ )) = 0.55
Step-by-step explanation:
Explanation:-
Given Event A and Event B are mutually exclusive.
Given data P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
The probability of the complement of Event A
P( A⁻ ) = 1 - P( A)
= 1 - 0.45
= 0.55
Final answer:-
The probability of the complement of Event A = 0.55
The probability of the complement of Event A is equal to 0.55
The probability of the complement of Event A ( P( A⁻ )) = 0.55
Given Event A and Event B are mutually exclusive.
We have given data P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
The probability of the complement of Event A.
What is the formula for the compliment of the event?P( A⁻ ) = 1 - P( A)
Use the given value in the above formula we have,
= 1 - 0.45
= 0.55
The probability of the complement of Event A is equal to 0.55.
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Choose the true statement.
-858
-8>8
-8= 8
the answer is 8=8
Step-by-step explanation:
it just is
What is the percent change if a shirt that cost $36 goes on sale for $24? Round your answer to the nearest tenth. Please solve in the "show your work box" below. You may use the pen tool, or you can use the text tool and type your answer. Then select the correct answer. You MUST show work to get full credit.
Answer:
33.3%
Step-by-step explanation:
Take the original price and subtract the new price
36-24=12
Divide this by the original price
12/36 = 1/3 = .33333repeating
Multiply by 100 % to get to percent form
.3333 repeating * 100%
33.3333%
Round to the nearest tenth
33.3%
Which of the following quadrilaterals have diagonals that bisect each other?
Check all that apply.
Answer:
All A. B. C. D.
Step-by-step explanation:
A B C D are all the correct answers
¯\_(ツ)_/¯
*I WILL MARK YOU BRAINLIEST!!!!*
Answer:
I believe it's c.
Step-by-step explanation:
Starts and includes 2, goes until and includes 5.
Answer:
C
Step-by-step explanation:
Domain represents the possible x-values and the line on the graph only runs through x-values between 2 and 5.
A SCHOOL HAS 320 GIRLS AND 250 BOYS
THE PROBABILITY THAT A GIRL IS LEFT-HANDED IS 0.2
THE PROBABILITY THAT A BOY IS LEFT-HANDED IS 0.1
ESTIMATE THE NUMBER OF LEFT-HANDED STUDENTS IN THE SCHOOL
Answer:
89
Step-by-step explanation:
I just multiplied 320 by 0.2 and then 250 by 0.1 and then added them together. I hope it helps and I'm not sure what method you would use for this but that's mine.
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
25
Step-by-step explanation:
So find the number that is a perfect square and 2 times the square root = 10
The number is 25.
Check:
[tex](x+5)^2=x^2+10x+25[/tex]
Answer:
The answer is 25.
Step-by-step explanation:
25 is a perfect square of 5. When x are added together, they form 10x.
[tex] {(x + 5)}^{2} [/tex]
[tex] {x}^{2} + 2(x)(5) + {5}^{2} [/tex]
[tex] {x}^{2} + 10x + 25[/tex]
A prism is filled with 48 cubes with a side length of 1/2 unit. What is the volume of the prism in cubic units?
Answer:
6 units cubed
Step-by-step explanation:
The volume will simply be the volumes of all the little cubes added together.
The volume of a cube is V = s³, where s is the side length. Here, it's 1/2, so:
V = s³ = (1/2)³ = 1/8 units cubed
We have 48 such cubes, so multiply 1/8 by 48 to get the total volume:
48 * (1/8) = 6 units cubed
Thus, the prism is 6 units cubed.
~ an aesthetics lover
Answer:
[tex] \boxed{\sf Volume \: of \: prism = 6 \: {units}^{3}} [/tex]
Given:
Total numbers of cubes in a prism = 48
Side length of each cube = [tex] \frac{1}{2} [/tex] unit
Step-by-step explanation:
[tex] \sf Volume \: of \: cube = {side}^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {( \frac{1}{2}) }^{3} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \: { units}^{3} [/tex]
[tex] \sf \implies Volume \: of \: prism =Volume \: of \: cube \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{8} \times 48 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{ \cancel{8}} \times \cancel{8} \times 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6 \: {units}^{3} [/tex]
What represents the inverse of the function f(x)=4x?
Answer:
Dear user,
Answer to your query is provided below
The inverse of the function f(x)=4x is y=(x/4)
Step-by-step explanation:
To find the inverse function, swap x and y, and solve the resulting equation for x.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: y=4x becomes x=4y.
Now, solve the equation x=4y for y.
y=(x/4)
Point S(6,-2) is translated 3 units left.What would be the coordinates of the resulting point,S’?
Answer:
S'(3,-2)
Step-by-step explanation:
1 Point
Which of the following is a disadvantage of speaking your ideas rather than
writing them?
O
A. You are not able to express your emotions as easily.
B. You will not be able to correct spelling errors.
C. You cannot be casual and spontaneous when speaking,
D. You cannot plan ahead and organize your thoughts.
SUBMIT
Answer:
D.
Step-by-step explanation:
You cannot plan your thoughts if you are just thinking out loud.
Convert the following time to 24-hour clock time. a) 5:00 pm b) 6:45 p.m c) 8:05 a.m d) 12:59 a.m III. Convert the following time to 12-hour clock time. a) 0400 hours b) 1500 hours c) 0010 hours d) 0240 hours
Answer:
5:00 pm -> 1700 hours
6:45 pm -> 1845 hours
8:05 am -> 0805 hours
12:59 am -> 0059 hours
0400 hours -> 4:00 am
1500 hours -> 3:00 pm
0010 hours -> 12:10 am
0240 hours -> 2:40 am
Step-by-step explanation:
12:xx am -> 00xx
all times from 1:00 am to 9:59 am stay nearly the same 0100 to 0959
all times 10:00 am to 12:59 pm stay nearly the same 1000 to 1259
all times 01:00pm to 12:00pm + 12 -> 1300 to 2400
PLEASEEEEEEEEEEEEEEEEEEEEEE URGENT HELP I HAVE NO IDEA!LIKE ALWAYS I WILL MARK CORRECT ANSWER AS BRAINLIEST!
PLEASEEEEE CHECK MY OTHER QUESTION AS WELL AFTER THIS ONE THANK YOU I WOULD REALLY APPRECIATE IT!!!!
HORIZONTAL Options: (a) 2 units left. (b)2 units right. (c)1 unit left. (d)1 unit right.
VERTICAL TRANSLATION of OPTIONS: (a) 2 units up (b) 2 units down (c) 1 unit up (d) 1 unit down
30 POINTS EVERYONE AND BRAILIEST IF IT IS CORRECT PLS AND THANK YOU
Answer:
Vertical: 2 units down
Horizontal: 1 unit left
Step-by-step explanation:
X +/- numbers: means it will go up or down
If its parentheses then it is the opposite
(-2,3), (0,1), (2,-4), (3,-1), (2,4) IS IT AN FUNCTION OR NOT
Answer: No
Explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.
In the relation shown here, notice that
the x-coordinate 2 appears twice.
In one case, 2 corresponds to -4 and in
the other case, 2 corresponds to -4.
Since the x-coordinate 2 corresponds to more than one
y-coordinate, no, this relation is not a function.
Which of the following ratios forms a proportion with 4/15?
A: 8/20
B: 7/18
C: 12/45
D:6/25
Answer:
C: 12/45
Step-by-step explanation:
You have to divide the numerator and the denominator by the same number, and if once you divide it you get the fraction then it's the right answer. So lets take 12/45 and try it.
12/3 =4
45/3 =15
4/15
Which graph shows line symmetry about the y-axis?
Answer:
1st one does
Step-by-step explanation:
There is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.
When a graph is symmetry about the y-axis?A graph is symmetry about the y-axis, when for a point a,b on the graph, there is another point such that (-a,b). It is the reflected point of the graph about the y-axis.
The graph which is symmetry about y-axis is attached below.
In the given image,
The first graph is not symmetry about the y axis as it does not follow the rule (x,y)-->(-x,y). In the second graph, the graph shows a parabolic function, but it is not showing symmetry about the y-axis.Thus, there is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.
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a can contains 15/16 pound of vegetables on serving these vegetables weighs 1/4 pound what is the total number of serving of vegetables in the can
Answer:
3 and 3/16 servings in the can.
Step-by-step explanation:
There are 3 1/4s in 15/16, and there are 3/16 left over.
A square of area 36 cm2 is cut to make two rectangles, A and B the ratio of A to area b is 2 : 1
Answer:
24 cm² and 12 cm²
Step-by-step explanation:
Sum the parts of the ratio, 2 + 1 = 3 parts
Divide the area by 3 to find the value of one part of the ratio.
36 cm² ÷ 3 = 12 cm² ← value of 1 part of the ratio , thus
2 parts = 2 × 12 = 24 cm²
area of A = 12 cm² and area of B = 24 cm²
Answer:
3:1
Step-by-step explanation: