Answer:
∠ABC ≅ ∠ABD + ∠DBC
Step-by-step explanation:
The angle addition postulate is applied a larger angle is divided into two smaller angles that share the same vertices, the measure of the larger angle is the sum of the two smaller angles. That is the resulting angle formed by two angles which are side by side is the sum of the two angles. In triangle ABC, if ∠ABC is divided by line BD then ∠ABC is divided into ∠ABD and ∠DBC. Therefore:
∠ABC ≅ ∠ABD + ∠DBC
Answer:
Angle addition postulate
Step-by-step explanation:
How many multiples of 4, that are smaller than 1,000, do not contain any of the digits 6, 7, 8, 9 or 0? Plz help!
Answer:
There are only 6 numbers that fit that description. (4,12,24,32,44,52)
HURRY ASAP PLZZZZ ANYONE???? There are 25 towns in a certain country, and every pair of them is connected by a train route. How many train routes are there?
Answer:
25 train routes
Step-by-step explanation:
The train routes go from 1-2, 2-3, 3-4, 4-5, ,and so on, but there is also one that goes from 25-1. If you notice, there when we get to 4-5, there are 4 train routes which means that if there are 25 towns, then there are 24 train routes, but since 25 and 1 are connected then there are 25 routes. Hope this helps!
Answer:
300
Step-by-step explanation:
25·24/2=300
Help Please I'm Out Of Time ;(
Evaluate 2y² + y² / 3 for x = 1.5 and y = 3.
Show all of your work.
Answer: 6.25 IF my assumption is correct about the missing x!
The Other way around: 4.5 with 2x² + y² / 3
Step-by-step explanation: 2y² + y² / 3 assuming the 2nd y should have been x, 1st y is y, and all divided by 3
2(3)² + (1.5)² / 3
2(9) + 2.25 /3
18 + 2.25 /3
20.25/3
6.25
Edited to correct!________ OR 2y² + y² / 3 assuming the 1st y should have been x, 2nd y is y, and all divided by 3
2(1.5)² + (3)² / 3
2(2.25) + 9 / 3
4.5 + 9 /3
13.5 /3
4.5
Answer:
[tex]\frac{13.5}{3}[/tex]
Step-by-step explanation:
=> [tex]2x^2+y^2/3[/tex]
Where x = 1.5, y = 3
=> 2(1.5)²+(3)² / 3
=> 2(2.25)+9 / 3
=> 4.5 + 9 / 3
=> 13.5 / 3
=> [tex]\frac{13.5}{3}[/tex]
1 kilogram
One ratio you could use for converting units is
1,000 grams
A. True
O B. False
Answer:
True
Step-by-step explanation:
For every kilogram, there are 1000 grams
Consider that 620(1.082)x models the average annual health care costs per person, in dollars, as a function of the number of years since 1950.
Answer:
I guess that you want to calculate the difference between the annual healt care costs in 1950 and today.
The equation is:
C(x) = $620*(1.082)^x
in 1950, we have x = 0 (because is the initial year)
then the cost is:
C(0) = $620*1 = $620.
Now, today, in 2020, we have:
x = 2020 - 1950 = 70
then we have:
C(70) = $620*(1.082)^70 = $154,276.7
So, according to this equation, te difference is:
$154,276.7 - $620 = $153,656.6
A doctor prescribes 500 milligrams of a therapeutic drug that decays by about 19% each hour.
a) To the nearest minute, what is the half-life of the drug?
b)
Write an exponential model representing the amount of the drug remaining in the patient's
system after t hours. (2 points)
c)
Use your formula to find the amount of drug that would remain in the patient's system after 24
hours. Round your answer to the nearest hundredth of a gram. (2 points)
Answer:
a) half life is 3h 17 minutes
b) function of residue drug after t hours with initial quantity = 500 mg
f(t) = 500 (0.81^t)
c) drug left in patient's system after 24 hours
= 0.00 grams (to the hundredth of a gram.
Step-by-step explanation:
Given:
Drug initial active weight, A = 500 mg
Residue active weight, f(t) = A 0.81^t
t = time in hours.
a) half life
Half life is T, such that f(T) = 0.5A =>
0.5A = A(0.81^t)
0.81^t = 0.5
t*log(0.81) = log(0.5)
t = log(0.5) / log(0.81) = -0.6931 / -0.2107 = 3.2894 hours
= 3 h 17.36 minutes
b) Equation of function of residue drug as a function of time t in hours
A=500 mg
f(t) = A(0.81^t) substitute A = 500 mg
= 500(0.81^t) mg
c) weight of residue drug after 24 hours to the hundredth of a gram.
t=24 hours
A=500
f(t) = 500(0.81^t) substitute t=24 hours
= 500(0.81^24)
= 3.181 mg
= 0.003181 g
can anyone help me with these questions
Answer:
1. 31.14
2. 46
Step-by-step explanation:
1. Using order of operations, we first simplify what's in the parentheses, so we do 4.1-(-6.2), or 4.1+6.2. This gives us -5+3.8(10.3). Next is multiplication, so we do 3.8(10.3), which gets us to -5+39.14. Lastly, we add, to get 31.14.
2. First, we solve in the parentheses. Within the parentheses, we do multiplication first, so we first do 3*-2, to get us 8-4(-6+(-13))÷2. Then, we solve inside the parentheses, so we do -6+(-13), to get 8-4(-19) ÷2.
Next, since multiplication and division are on the same level, we go from left to right, so we do -4*-19 first, to get 8+76÷2. Now we do division, to get 8+38. Lastly, we add, to get 46.
Answer:
9) 34.14
10) 46
Step-by-step explanation:
In professional baseball, each team plays 160 games. After playing half their games, team A has won 60 and team B has won 49. If team A wins half of its remaining games, how many of its remaining games must team B win to have the same number of wins as team A?
Answer:
61 wins
Step-by-step explanation:
60 + 1/2*100=110 wins (team A)
110-49=61
Team B needs to win 61 more games to have the same number of wins as team A.
match the like terms from 6xy to 14xy -3y^2 5x^2 -12x^2 -6 11 4xy^3 8xy^3 15y^2
A card player selects a playing card from a well-shuffled deck of standard playing cards and sees if the card is a red card or not. He keeps the card, and then makes another selection and sees if the card is a red card or not. He continues this process 10 times and counts the total number of red cards that he selects. Is this a binomial random variable? A. no since the total number of red cards in the deck is unknown at the start of the experiment B. no, since probabilities of drawing red cards do not remain the same from trial to trial C. yes since red cards are successes and he is counting the number of red cards drawn D. yes since a red card is a success and every other card is a failure
Answer:
A
Step-by-step explanation:
there could be no red cards inside
A binomial random variable is no since the total number of red cards in the deck is unknown at the start of the experiment.
We have to determine whether the card player selects a playing card from a well-shuffled deck of standard playing cards and sees if the card is a red card or not.
He keeps the card, and then makes another selection and sees if the card is a red card or not.
What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
He continues this process 10 times and counts the total number of red cards that he selects.
We have to determine if it Is a binomial random variable.
There could be no red cards inside.
Therefore, A binomial random variable is no since the total number of red cards in the deck is unknown at the start of the experiment.
To learn more about the probability visit:
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A local newspaper was wondering if its average reader lived more than 25 miles from its headquarters. The newspaper surveyed its readers and received 10 responses. Using the results from the current survey and several previous surveys, the newspaper has decided to assume that the population standard deviation for the distance its readers live from its headquarters is 13.2 miles. The local newspaper conducts a one-mean hypothesis at the 5% significance level, to test if the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
(a) H0:μ=25; Ha:μ>25, which is a right-tailed test.
(b) z0=0.22, p-value is = 0.41.
(c) Which of the following are appropriate conclusions for this hypothesis test? Select all that apply.
We reject H0.
We fail to reject H0.
At the 5% significance level, the data provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
Answer:
Step-by-step explanation:
From the information given,
For null hypothesis,
H0:μ=25
For alternative hypothesis,
Ha:μ > 25
It is a right-tailed test due to the inequality sign in the alternative hypothesis.
The decision rule would be to reject the null hypothesis if the significance level is greater than the p value.
Since the significance level, 0.05 is < p-value, 0.41, then we fail to reject H0. Therefore,
At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
For Restaurant A, the owner wants to advertise a good cleanliness score to his customers. Which measure would make his score seem as good as possible, the mean or the median? median mean
Answer:
median
Step-by-step explanation:
the median would make the score as good as possible, because there could be possible outliers. this really depends on if there are outliers or not. here is an example of what i need:
say you are trying to show your parents your grades:
here are your scores:
38, 88, 90, 91, 93, 95, 100
the median would be 91, which looks better.
the mean would be 85.
even though a majority of your grades are good, the one 38 makes the average go down. therefore, the median is a better advertiser.
Choose the different ways that a graph can be misleading.
The y -axis starts at zero and uses consistent intervals.
The y -axis starts at zero but has different intervals.
Different bar widths are used on the same graph.
The y -axis doesn't start at zero.
Different bar heights are used on the same graph.
The intervals on the y -axis are too large.
Answer:
i. The y -axis starts at zero but has different intervals.
ii. Different bar widths are used on the same graph.
iii. The y -axis doesn't start at zero.
Step-by-step explanation:
A graph is a plot showing accurate representation and presentation of correlation among variables of a given data. It is a tool that can be used to summarize all information about a given data for easy understanding and deductions.
A misleading graph is one that has an inappropriate representation of data, thus a wrong conclusion would be deduced or obtained from this type of graph. Misleading graph is majorly due to inconsistency, and errors in plot (axis or scale used).
Answer:
The y-axis doesn't start at zero.
The intervals on the y-axis are too large.
Different bar widths are used on the same graph.
The y-axis starts at zero but has different intervals.
Step-by-step explanation:
I have this lesson on Odyessyware
Please mark brainliest if this helps.
Choose the best answer that represents the property used to rewrite the expression.
log5 6 − log5 3 = log5 2
Answer:
The Quotient Property.
Step-by-step explanation:
Since all three logarithms have the same base (base-5), and you are subtracting 6 and 3, to solve this all you need to do is 6 / 3 because of the Quotient Property.
You aren't multiplying anything, so you wouldn't use the Product Property.
You are not messing around with powers, so you wouldn't use the Power Property.
And you aren't using addition or multiplication, so you wouldn't use the Commutative Property.
Hope this helps!
You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you do this?
Answer:
15
Step-by-step explanation:
lets begin to set up this question. i personally find questions like these easiest when i begin to set up ideas to help my brain process it better, for example:
person a
person b
person c
person d
we know that each (person) must receive at least 1 candy. we also know that we have 7 candies. therefore if we want do draw this out :
person a- 1
person b- 1
person c- 1
person d -1
notice that we now have given away 4 of the 7 candies. now we have 3 candies left. we can simply:
person a- 2
person b-2
person c-2
person d- 1
but, keep in mind that there are still many more ways that we can distribute the candies to other kids. the question we are asked is how may ways can we do this. since i have already illustrated the question, you can either learn how to put this into an equation, or experiment how many variations there are. the answer, either way is 15.
what is the sum of 13=m+21
Answer:
8
Step-by-step explanation:
21-13=8
m=8
Answer:
m= -8
Step-by-step explanation:
13= m+21
-21 -21
subtract 21 from both sides to get "m" alone
-8=m
helllp me im am not smart
Answer:
last one
Step-by-step explanation:
"no more than" indicates that we need to use the sign ≤, which eliminates the first and third options. The expression we can use to calculate her cost is 2s + 5 so the answer is 2s + 5 ≤ 40.
Answer:
the 4th one, 2s + 5 ≤ 40
Step-by-step explanation:
Consider the quadratic functions represented below. Function #1 Function #2 x y -1 14 -0 6 1 2 2 2 3 6 4 14 Which function has a greater minimum? Function # has a greater minimum. Function #3 has the equation, y = x 2 + 3x - 4. Complete the statement so that the minimums of the three functions are in order from least to greatest. # < #
Answer:
Function #2 has a greater minimum.
#3 < #1 < #2
Step-by-step explanation:
In the picture attached, the question is shown.
The minimum of Function #1 is located at (3, -1). This is seen in the picture.
The minimum of Function #2 is located at (1.5, 1). We can see in the table that the function is symmetric respect 1.5 (half-point between 1 and 2).
The function y = x² + 3x - 4 has its minimum at its vertex:
x-coordinate of vertex: x = -b/(2a) = -3/(2*1) = -1.5
y-coordinate of vertex: y = (-1.5)² + 3(-1.5) - 4 = -6.25
So, the minimum of Function #3 is located at (-1.5, -6.25)
Answer:
The other guy is right
Step-by-step explanation:
What is the range of possible sizes for side x? PLEASE HELP
Fill in the blank with a number to make the expression a perfect square.
Answer:
16
Step-by-step explanation:
[tex] {w}^{2} - 8w + { {4}^{2} } \\ = {w}^{2} - 8w + \boxed{ 16} \\= (w-4)^2 [/tex]
Answer:
Step-by-step explanation:
a² + 2ab +b² = (a+ b)²
w² - 8w + _?___
a = w
2ab = -8w
2*w*b = -8w
b = -8w/2w
b = 4
8w = 2 * 4*w
w² - 8w + 4² =w² -8w + 16
HELP PLZ!
On a coordinate plane, the green triangle is rotated 90 degrees to form the blue triangle. Triangle Q R S is rotated 180 degrees to form triangle J K L. Use the graph to complete the statements. The green triangle is rotated degrees to form the blue triangle. Triangle QRS is rotated degrees to form the image triangle JKL.
Answer:
The green triangle is rotated
✔ 90
degrees to form the blue triangle.
Triangle QRS is rotated
✔ 180
degrees to form the image triangle JKL.
Step-by-step explanation:
have a nice day because I said so but mostly because you want to
The green triangle is rotated 90 degrees to form the blue triangle. And ΔQRS is rotated 180 degrees to form the image of ΔJKL.
What is coordinate plane?" Coordinate plane is also known as cartesian plane in two dimensional , which is represented by intersection of two axis at 90°, the horizontal axis is known as x-axis and vertical axis is known as y-axis."
According to the given question,
Here all triangles are right angled triangle.
All triangles are perpendicular to the respective axis as per diagram.
Rotation of triangle on coordinate plane from one axis to another forms 90°.
Hence, we conclude that the green triangle is rotated 90 degrees to form the blue triangle. And ΔQRS is rotated 180 degrees to form the image of ΔJKL.
Learn about more coordinate plane here
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PLZZZZZZZZZZZ ANSWER QUICK PWEASE
Answer:
z = -9.5
Step-by-step explanation:
Well to get rid of the 2 in the following expression,
[tex]-4.75 = \frac{z}{2}[/tex]
We multiply everything by 2.
-4.75 * 2 = -9.5
z * 2 = 2
-9.5 = z
NEED HELP ASAP!! The dot plot below shows the drawing scores of some students: Which statement best describes the shape of the data? A. It is symmetric and has a peak at 3. B. It is symmetric and has a peak at 5. C. It is not symmetric and has a peak at 3. D. It is not symmetric and has a peak at 5.
Answer:
I believe the answer Is A
Step-by-step explanation:
If its asking for the shape, the peak would be three because it has the most variables in it which is also 3 variables
(07.01 MC)
The picture shows a bam door
9 feet
What is the length of the support AB? (1 point)
Select one:
a tan 50
b. 9 sin 60
c. 9 cos 60
d. Sin
Answer:
C
Step-by-step explanation:
If one quart of paint is exactly enough for two coats of paint on a 9-foot by 10-foot wall, how many quarts of paint are needed to apply one coat of paint to a 10-foot by 12-foot wall? Express your answer as a common fraction
Answer:
2/3 of a quart
Step-by-step explanation:
2 coats on a 9X10=1 coat on a 18X10. Since 18X10 is 1.5 times 12X10, the 12X10 will need 2/3 of the paint
Answer:
2/3 quart
Step-by-step explanation:
The 10 by 12 ft wall has an area of 120 ft^2. The 9 by 10 ft wall has an area of 90 ft^2.
Thus, the following equation of ratios provides us with the answer:
90 (1/2)
--------- = -----------
120 x
or 3/4 = 1/(2x), or
6x = 4. Thus, x = 4/6 or 2/3.
2/3 of a quart would be enough for one coat on the 10 by 12 ft wall. Note that only 1/2 of a quart would suffice for one coat on a 9 by 10 ft wall (for comparison).
identify the value of x HELP ASAP
a) x=32
b) x=4
c) x=2
d) x=16
What is 30x > 1,470 + 150? HELP PLEASE ASAP
Answer:
30x > 1470 + 150
30x > 1620
x > 54
Answer:
[tex]\huge\boxed{x>54\to x\in(54;\ \infty)}[/tex]
Step-by-step explanation:
[tex]30x>1,470+150\\\\30x>1,620\qquad\text{divide both sides by 30}\\\\\dfrac{30x}{30}>\dfrac{1,620}{30}\\\\x>54[/tex]
Use exact numbers. Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and ( 5 , − 8 ) (5,−8)left parenthesis, 5, comma, minus, 8, right parenthesis.
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1) , then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line
Answer:
y - 1 = -3(x - 2)
Step-by-step explanation:
Sounds as though you want the equation of the line through (2, 1) and (5, -8).
As we move from (2, 1) to (5, -8), x (the "run") increases by 3 and y (the "rise") decreases by 9. Thus, the slope of this line is m = rise / run = -9/3, or m = -3.
Let's use the point-slope formula for a straight line here: The point (h, k) is (2, 1) and the slope is -3. Then y - k = m(x - h) becomes:
y - 1 = -3(x - 2)
Yu Min made brownies for school. After cutting the brownies into equal pieces, Yu Min gave 4 to her brother, and she split the remaining brownies with her mathematics teacher and her art teacher. If she had 24 brownies, how many brownies did each of the 2 teachers receive?
Answer:
10 brownies.
Step-by-step explanation:
First, subtract 4 from 24 bc she gave 4 to her bro. So she has 20 brownie pieces left. Then do 20/2=10. Therfore, the math and art teacher both get 10 brownies.
Answer:
10 for each teacher
Step-by-step explanation:
1. She gave 4 brownies to her brother which is 24-4=20
2. There were 2 teachers, the art and mathematics and both got the same amount so 20 divided 2
3. 20 divided 2 equals 10
so therefore each of the 2 teachers will get 10 brownies each
Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS: A) cos E = 312 + 392 – 2(31)(39) B) C) 562 = 392 – 2(39) ⋅ cos E D) 562 = 312 + 392 – 2(31)(39) ⋅ cos E
This question is incomplete because the options were not properly written.
Complete Question
Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS:
A) cos E = 31²+ 39² – 2(31)(39)
C) 56² = 39² – 2(39) ⋅ cos E
D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E
Answer:
D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E
Step-by-step explanation:
From the above diagram, we see are told to apply the law of cosines to solve for m∠E i.e Angle E
The formula for the Law of Cosines is given as:
c² = a² + b² − 2ab cos(C)
Because we have sides d , e and f and we are the look for m∠E the law of cosines would be:
e² = d² + f² - 2df cos (E)
e = 56
d = 39
f = 31
56² = 39² + 31² - (2 × 39 × 31) × cos E
Therefore, from the above calculation and step by step calculation, the option that applies the law of cosines correctly and could be solved to find m∠E
Is option D: 56² = 31² + 39² – 2(31)(39) ⋅ cos E
Answer:
[tex]56^2 = 31^2 + 39^2 minus 2(31)(39) cos E[/tex]
Step-by-step explanation:
Hello, I just took the exam got the answer correct