Answer:
1:
All of the internal angles are the same size → FALSE
All of the sides are the same length → TRUE
Opposite sides are parallel → TRUE
2:
B. 3 hours
Step-by-step explanation:
1) To answer this question, you need to know what the figure is and the properties of the figure.
The figure that is shown is a rhombus.
In a rhombus, the opposite sides are parallel, all of the sides are congruent (the same length), and the opposite internal angles are congruent (the same measure).
2) To answer this question, you need to know what type of equation the candle height represents, and how to project the height of the candle at a given time.
The candle height represents a linear equation because in the problem, it is given that the shape of the graph makes a line.
When you graph a linear equation, the shape of the graph is a line.
⭐What is the equation for a linear equation?
one of the most common forms of a linear equation is the slope-intercept form:\(y = mx + b\)m = the slope (the steepness of the line)b = the y-intercept (the y-value for when x=0)(x,y) = a coordinate on the graphThus, we need to create the equation in slope-intercept form of the candle height so we can project the height at a given time.
⭐How do we calculate the slope?
\(m = \frac{y_2-y_1}{x_2-x_1}\)\((x_1,y_1)\) is a coordinate on the graph\((x_2,y_2)\) is another coordinate on the graphI will use the coordinates (0,7) and (1,5), but you can choose any other 2 coordinates that you see on the graph.
\(m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{5-7}{1-0}\\m = \frac{-2}{1}\\m = -2\)
∴ The slope is -2.
Let's find the y-intercept.
To find the y-intercept, look at the graph and find the corresponding y-coordinate for when x=0.
When x=0, y=7.
∴ The y-intercept is 7.
Now, substitute the values of the slope and the y-intercept into the linear equation.
\(y = mx + b\\y = -2x+7\)
All that's left to do is to find how many hours it will take for the candle to decrease from 7cm to 1cm.
To do so, we need to find the corresponding hour (x-value) for when the candle is 1cm (y-value), and subtract it from 0, because the candle is initially 7cm.
Therefore, the coordinate of this situation is (x,1), where x is the hour for when the candle is 1cm.
Substitute this coordinate into our equation and solve for x.
\(1 = -2x+7\\-6= -2x\\3 = x\)
\(3-0 = 3\)
∴ It takes 3 hours for the candle to decrease from 7cm to 1cm.
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Given the function f:{1}→{1}; f(x)=1, check which one(s) of the properties it has.
A. increasing
B. decreasing
C. strictly increasing
D. injective
E. surjective
F. strictly decreasing
G. None of the above
The function f has the property injective. (D)
An injective function is also known as a one-to-one function, which means that for every unique output, there is a unique input.
In this case, the function f maps the single element in the domain {1} to the single element in the codomain {1}, and there is only one possible output for the single input, so it is injective.
It does not have the properties of being increasing, decreasing, strictly increasing, strictly decreasing, or surjective because the function is a constant function mapping the single element in its domain to the single element in its codomain.
As a result, it does not change in value and cannot be classified as increasing or decreasing. Additionally, it is not surjective because the codomain contains one element that is not mapped to by the function.
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can someone please help me and show work ?
Answer:
(1). x = 14 ; (2). 70°
Step-by-step explanation:
(1). m∠ACD = m∠A + m∠B
6x + 2 = (2x + 1) + (3x + 15)
6x - 5x = 14
x = 14
(2). m∠ABC = 180° - m∠CBD = 140°
m∠A = m∠C = 140° ÷ 2 = 70°
PLEASE HELP If f(x) = 2x-1 + 3 and g(x) = 5x - 9, what is (f-g) (x)
Answer:
2^(x-1) -5x +12
Step-by-step explanation:
f(x) = 2^(x-1) + 3
g(x) = 5x - 9
(f-g) (x) = 2^(x-1) + 3 - ( 5x-9)
Distribute the minus sign
2^(x-1) + 3 - 5x+9
Combine like terms
2^(x-1) -5x +12
Yo I’m a 10th grader that needs math help can y’all answer this fam?
Answer:
So im not exactly sure on the type of problems your doing but i got x^2+3x-5
Which of the following cannot have a Poisson distribution?
a. The length of a movie.
b. The number of telephone calls received by a switchboard in a specified time period.
c. The number of customers arriving at a gas station on Christmas day.
d. The number of bacteria found in a cubic yard of soil.
The option that cannot have a Poisson distribution is The length of a movie. Thus, the correct answer is A.
The Poisson distribution is a discrete probability distribution that is used to describe the probability of a given number of events occurring in a fixed period of time or space if these events occur with a known constant rate and independently of the time since the last event.
In the case of the length of a movie, it is not a discrete event that can be counted, but rather a continuous measurement, so it cannot be described using the Poisson distribution.
Options b, c, and d are all discrete events that can be counted and therefore can be described using the Poisson distribution.
Thus, the correct answer is A. the length of a movie
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8. Expand, then simplify: (2 Points) (2a – 3) (a2 + 3a - 5)
Hello
just a second
people reading this please complete because you will help me a lot.
I am an Indian girl my name is Lamer and am 13 years old.
I Just got this new device after working at a farm for 2 years.
I used to use brainly at my friend device she had money to buy brainly plus.
I cant please help me get points so I can get good marks and my dad let me complete my education instead of getting married.
if cdg ~ edf what is the value of x
Answer:
250 in out to radical change
Consider the compound inequality x < 4 and x > a . For what value(s) of a would the compound inequality have infinite solutions? Justify your answer.
a would the compound inequality have infinite solutions if a = 4
x < 4 AND x > a.
if a = 4 and we use an "or" instead of the "and" we have:
x < 4 or x > 4.
This is:
"x is larger than 4 or smaller than 4."
Then the solution of this is all the real numbers except the value x = 4.
The set of solutions can be written as:
{xI x ∈ R \ [4]}
Where this reads:
"x belongs to the set of the reals minus the number 4".
Or we also could write it as:
x ∈ (-∞, 4) ∪ (4, ∞)
Where we have two open ends in the "4" side, so the value x = 4 does not belong to that set.
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** GIVING BRAINLIEST!! **
Problem 2
Kayla has a goal to hike at least 75 miles. She has
already hiked 20 miles.
She plans to hike n miles each week for the next 6
weeks.
Which inequality describes the nuinber of miles Kayla
should hike each week to meet her goal?
20 + 6n < 75
20 - 6n < 75
20 + 6n > 75
20 - 6n > 75
( the signs are supposed to have the line underneath it )
Answer:
20 + 6n > 75(the sign has an underline)
To determine how many miles Kayla needs to hike each week for the next 6 weeks to reach her goal of at least 75 miles, we can subtract the miles she has already hiked from her target goal and divide it by the number of weeks remaining.
Target goal - Miles already hiked = Miles remaining
75 miles - 20 miles = 55 miles remaining
Now, we divide the remaining miles by the number of weeks:
55 miles / 6 weeks = 9.17 miles per week (approximately)
Therefore, Kayla needs to hike approximately 9.17 miles each week for the next 6 weeks in order to reach her goal of at least 75 miles.
19a + 44 - 19a
Need help with this was not paying attention in class
19a + 44 - 19a
Group like terms.
\(19a - 19a + 44\)
Add similar elements.
\(19a - 19a = 0\)
\(=44\)
Answer:
44
Step-by-step explanation:
Hahaha, fair enough.
This one may look more difficult than it is. In algebra, there are variables and there are constants.
A constant is a number that is constantly the same, in the example you posted, 44 is the constant.
A variable is like a place holder, it indicates that there is a number that will be substituted in, we just don't know what that number is yet. In your example, the variable is represented by the letter "a."
If youre still a little unsure what a variable is, think of it like this:
Every morning, you like to have one, single cup of coffee, but some days you feel like putting 1 spoon of sugar in, some mornings you want no sugar, and some mornings you really want something sweet and so you have 3 spoons of sugar.
In algebra, your morning cup of coffee is represented 1 + s. 1 is the number of cups of coffee you have and "s" represents how much sugar you put in it. "s" can equal 1, 3, or even 0 spoons of sugar. "s" will represent the number of spoons of sugar consistantly, BUT, keep in mind that while the value of a variable is the same within that one term or equation it can represent a different value in another term or equation.
1 + s on Monday could equal 4 because you really want some sugar at the beginning of your week so you put 3 sugars in. 1 + 3 = 4. But on Thursday, you don't want any sugar, so 1 + 0 = 1. Monday and Thursday are different terms/equations.
SO, because a variable always has the same value within a term/equation, in your example 19a + 44 - 19a, "a" will always have the same value. if a = 1 then your example is 19(1) + 44 - 19(1). If the value of "a" is 1,000,000, then your example looks like 19(1,000,000) + 44 - 19(1,000,000).
We can rewrite your question a little to make it clearer. 19a - 19a + 44, we just swapped the positions of 44 and -19a. So you can see, that no matter what value "a" represents, they will cancel each other out. leaving you with 44 as your answer.
is it an inverse or a reciprocal? Pls help ASAP!!!
Answer:
An inverse of a fraction is a reciprocal of a fraction. In other words, flipping the numerator and denominator provides the reciprocal of fraction. For example, the reciprocal of fraction 3/5 is 5/3.
Step-by-step explanation:
he set of ordered pairs represents a function. Write a rule that represents the function.
(0,0), (1,7), (2,28), (3,63), (4,112)
y = 7x² is the set of ordered pairs that represent a function.
One clue that the relation is quadratic is found in the second difference:
The first differences are .
7 -0 = 7
28 -7 = 21
63 -28 = 35
112 -63 = 49
The second differences are .
21 -7 = 14
35 -21 = 14
49 -35 = 14
These are constant, indicating the function is 2nd-degree, or quadratic. The coefficient of the x² term is half the value of these second differences, so it will be 7.
When we compare y = 7x² with the given relation values, we find that no additional adjustment is needed in this rule.
for x=0, y = 7·0² = 0
for x=1, y = 7·1² = 7
for x=2, y = 7·2² = 28
for x=3, y = 7·3² = 63
for x=4, y = 7·4² = 112
A rule that represents the function is y = 7x².
What is a function?In mathematics, the function X to Y assigns exactly one element of Y to each element of X. The set X is called the range of the function and the set Y is called the code interval of the function.
Types of operations can be classified into four types.
one-to-one function multiple functions, act one-to-one and function action.In mathematics, a basis function is an element of a certain basis of function space. Every function in a function space can be represented as a linear combination of basis functions, just as every vector in a vector space can be represented as a linear combination of basis vectors.
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please help me :( If you traveled 6,000,000,000 miles into outer space, you would be about one-fourth of the way to Venus. Write this measurement in scientific notation.
A. 6 x 106 miles
B. 60 x 106 miles
C. 6 x 109 miles
D. 60 x 109 miles
The given measurement in scientific notation as \(6\times10^9\). Therefore, option D is the correct answer.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as \(1.56\times10^7\).
The given distance is 6,000,000,000 miles.
There are 9 zeros in the given number
So, scientific notation is \(6\times10^9\)
Therefore, the number in scientific notation is \(6\times10^9\).
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Gerald has a bag of 10 colored balls: 3 green, 3 red, and the rest yellow. He randomly draws two balls, one at a time without replacement. Find the probability of drawing at least one yellow ball.
Answer:
2/3
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that there are 10 balls of which 3 green, 3 red, and the rest yellow
Number of yellow balls = 10 - 3 - 3 = 4
Probability of picking a;
Green ball = 3/10
Red ball = 3/10
Yellow ball = 4/10
If two balls are picked without replacement, the probability that one is at least yellow will be
YR RY YG GY YY
= 4/10*3/9 + 3/10*4/9 + 4/10*3/9 + 3/10*4/9 + 4/10*3/9
=12/90 *5
= 2/3
Suppose you surveyed a group of students to see how many CDs they owned. The results are displayed in the
histogram shown below. Based on this histogram, how many students were surveyed?
15
10
5
0
5-8
9-12
13-16 17-20
A. 11
B. 28
C. 33
D. 43
You surveyed 30 students to see how many CDs they owned.
The number of students who owned 5 - 8 CDs was:
= 15
The number of students who owned 9 - 12 CDs was:
= 10
The number of students who owned 13 - 16 CDs was:
= 5
The number of students who owned 17 - 20 CDs was:
= 0
The total number of students surveyed is the sum of the above:
= 15 + 10 + 5 + 0
= 30 students
30 students were surveyed for this study.
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WILL GIVE BRAINLIEST
Write, in slope-intercept form (y = mx + b), the equation of the line that satisfies the given conditions.
Passes thru (1, -1) and is parallel to the line y=2/5x-3
Answer:
y = 2/5x - 7/5
Step-by-step explanation:
Let's call the line with a slope intercept form of y = 2/5x - 3 M and the current line T
Parallel lines have the same slope
y = mx + b
Line M is y = 2/5x - 3
This means the Line T has a slope of 2/5
(1,-1)
(x,y)
-1 = 2/5 + b
b = -7/5
The answer is y = 2/5x - 7/5
Hope this helps :)
I’m posting too many
Solve each equation 51/2=d +1/4 what is d?
Which expressions are equivalent to the following expression:
6h+5(x+h)
Step-by-step explanation:
6h + 5(x +h)
6h + 5x + 5h
11h + 5x
---------------------------FOLLOW MEbetween 149714971497 and 150015001500, amerigo vespucci embarked on two voyages to the new world. according to vespucci’s letters, the first voyage lasted 434343 days longer than the second voyage, and the two voyages combined lasted a total of 1{,}0031,0031, comma, 003 days. how many days did the second voyage last?
The number of days that the second voyage last's is 480 days.
Given,
The discrepancy in the length of the two excursions, we are asked to determine how many days the second voyage lasted.
We initially assign variables in order to overcome this issue. Let the duration of the first cruise be f days and the duration of the second expedition be s days.
We are aware that the first journey lasted 43 days longer than the second.
In mathematics, f = 43 plus s. (I)
The cumulative duration of the two journeys was 1003 days. Mathematically:
f + s = 1003........(ii) (ii)
We transform I into ii
43 + s + s = 1003
43 +2s = 1003
2s = 1003 - 43
2s = 960
s = 960/2 = 480 days
That is,
The second voyage lasted about 480 days
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what is the slope of the line in the graph?
Answer:
-1 and 1
Step-by-step explanation:
Both numbers touch the line of -1 and 1 on the slope diagram.
x=1
Step-by-step explanation:
ratio of 1 to 1. rise one run one rise over run equals 1
An 9009h2
7 There are almost 40 thousand fourth graders in Mississippi and almost 400 thousand fourth graders in
Texas. There are almost 4 million fourth graders in the United States.
We write 4 million as 4,000,000. How many times more fourth graders are there in Texas than in
Mississippi? How many times more fourth graders are there in the United States than in Texas? Use the
approximate populations listed above to solve.
There are about 4 thousand fourth graders in Washington, D.C. How many times more fourth graders are
there in the United States than in Washington, D.C.?
There are about 1,000 times as many fourth graders in the US as there are in Washington DC.
what is an algebraic expression ?
Algebraic expression can be defined as the combination of constants , variables and operators.
We write 4 thousand as 4,000
We write 40 thousand as 40,000
We write 400 thousand as 400,000
The value of each place is ten times the value of the place immediately to the right.
So:
40,000 is 10 times 4,000
400,000 is 10 times 40,000.
4,000,000 is 10 times 400,000.
Thus, 400,000 = 10 *40,000, and there are about 10 times as many fourth graders in Texas as there are in Mississippi.
Also, 4,000,000 = 10* 400,000, and there are about 10 times as many fourth graders in the US as there are in Texas.
Finally, to go from 4,000 to 4,000,000, we have to multiply by 10 three times. We see that
10*10*10 = 10 * 100 = 1000
Hence, there are about 1,000 times as many fourth graders in the US as there are in Washington DC.
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The growth of an apple tree was measured. The tree grew 15 inches per year.
On average, how many millimeters did the tree grow per day?
Answer:
1.04 mill
Step-by-step explanation:
15 inches to mill = 381
\(365\sqrt{381}\) = 1.04 ( rounded )
If the ray ML makes an angle measuring 2 radians with the ray MN, and the length of the arc intercepted by the angle is 72 inches, what is the radius of the window?
18 inches
0 24 inches
To find the radius of the window, we can use the formula for the length of an arc: The radius of the window is 36 inches. The correct option is not provided among the given choices.
Length of Arc = Radius × Angle
Given that the angle is 2 radians and the length of the arc is 72 inches, we can rearrange the formula to solve for the radius:
Radius = Length of Arc / Angle
Radius = 72 inches / 2 radians
Radius = 36 inches
Therefore, the radius of the window is 36 inches. The correct option is not provided among the given choices.
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(-5.5 divided by 1/4) + ( 2 1/2 - 3.8)
2-[(2+10(-1)divided by 2)+1]
What is the value on the expression?
The value of the numerical expression 2 - [(2 + 10 × -1) / 2 + 1] will be 5.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The numerical expression is given below.
⇒ 2 - [(2 + 10 × -1) / 2 + 1]
Simplify the expression, then we have
⇒ 2 - [(2 + 10 × -1) / 2 + 1]
⇒ 2 - [(2 - 10) / 2 + 1]
⇒ 2 - [(-8 / 2) + 1]
⇒ 2 - (-4 + 1)
⇒ 2 - (-3)
⇒ 2 + 3
⇒ 5
The value of the numerical expression 2 - [(2 + 10 × -1) / 2 + 1] will be 5.
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-2(3x+4)=2-5x+10 solve for x
WILL MARK BRAINLIEST
help answer 4-5 please x
Answer:
Step-by-step explanation:
4. A) \(\frac{13}{100}\)×79.50 = 10.335
tax=10.335
total cost=79.50+10.335=89.835
B) \(\frac{13}{100}\)×189.99=24.6987 = tax
189.99+24.6987=214.6887
5) \(\frac{20}{100}\)×544.99=108.998
yes Brittany will have enough money
Lexi eats 49.5 ounces of dog food in 3 days. How much dog food would Lexi eat in 7 days?
the teacher calculates the highest score as being 97 and the lowest score as being 75. what is the range?
Answer:
Step-by-step explanation:
if it's talking about between the numbers 75 to 97, then it's 22.
Please help
Which function includes all ordered pairs in the table
Answer:
the correct answer is A. y = - x - 4
Step-by-step explanation:
Just insert the graph into a calculator and solve.
every time x goes up two, so does y. except the y is 4 units lower than the x.