Mathematics High School
Answers
Answer 1
The angle of A when the polygon slides 4 units left and 3 units up on the coordinate plane is 75°.
How to calculate the angle?
From the information, Polygon AVC’s slides 4 units left and 3 units up on the coordinate plane. If the original measure of angle A was 75 degrees.
It should be noted that translation doesn't change the angle. Therefore, the number will be the same as the translation is stationary.
Therefore, the angle of A when the polygon slides 4 units left and 3 units up on the coordinate plane is 75°
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Related Questions
Barbara is in charge of the award medals for a sporting event. She has
31 medals to present to various individuals on 6 competing teams. She asserts that at least one
team will end up with more than 5 medals. Do you believe her
assertion? Justify your argument.
Answers
It should be noted that Barbara asserts that at least one team will end up with more than 5 medals. In this case,she's correct as a team will have 6 medals.
How to illustrate the information?
From the information, Barbara is in charge of the award medals for a sporting event and she has 31 medals to present to various individuals on 6 competing teams.
It should be noted that each team will get:
= 31 / 6
= 5 remainder 1
Therefore, she asserts that at least one
team will end up with more than 5 medals. In this case, she's correct.
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Divide. (−15)÷(−45) What is the quotient? Enter your answer as a simplified fraction in the box.
PEAESSS DO IT?!!!! HELP
Answers
Answer:0.33
Step-by-step explanation:
I used a calculator
What is the equation of this line?
Responses
y=2x−3
y=−12x−3
y=−2x−3
y=12x−3
Answers
I think it is the second one!
Hope my answer is correct?!
If z=30 when x=3 and y=2 , write the function that models the relationship.
z varies directly with x and inversely with y .
Answers
z = 20 x/y is the variation of equation.
How to write the function that models the relationship?
A relationship between a set of values for one variable and a set of values for other variables is known as a variation.
One of the most fundamental concepts in mathematics is the idea of a function, in part because functions are a useful tool for describing and illuminating patterns.
given that
z=30 when x=3 and y=2
z varies directly with x that means z is directly proportional to x.
z = kx .................(1)
z varies inversely with y means z is inversely proportional to y.
z = k 1/y ................(2)
both equation 1 and 2
z = k x/y
k = zy/x
now, find the value of k using given information.
k = 30(2)/3
k = 60/3
k = 20
now,
z = k x/y
z = 20 x/y
This is the variation of equation.
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Evaluate the expression. – 2 5 ÷ – 1 3 – 3 5 × – 2 3 Write your answer as a fraction or as a whole or mixed number.
Answers
The solution of the expression – 25 ÷ – 13 – 35 × – 23 is 806 12/13
What are expressions?
Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the solution of the expression?
The expression is given as
– 25 ÷ – 13 – 35 × – 23
Evaluate the quotient
So, we have
– 25 ÷ – 13 – 35 × – 23 = 25/13 – 35 × – 23
Evaluate the product
So, we have
– 25 ÷ – 13 – 35 × – 23 = 25/13 + 805
Evaluate the sum
So, we have
– 25 ÷ – 13 – 35 × – 23 = 805 25/13
Divide the fraction
So, we have
– 25 ÷ – 13 – 35 × – 23 = 805 + 1 12/13
Evaluate the sum
So, we have
– 25 ÷ – 13 – 35 × – 23 = 806 12/13
Hence, the solution of the expression – 25 ÷ – 13 – 35 × – 23 is 806 12/13
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What is the logarithmic form of each equation?
c. 1=3⁰
Answers
The logarithmic form of the given equation is log₃(1) = 0.
A logarithm is the degree to which a number must be raised in order to produce another number. For instance, the logarithm of 100 in base ten is 2, since ten multiplied by two equals 100: log 100 = 2, since 10² = 100.
The given equation is 1 = 3⁰
To convert this exponential form into logarithmic form, we are required.
Consider the given exponential form:1 = 3⁰
Taking logarithm on both sides with the base as 3, we get,⇒ log₃(1) = log₃(3⁰)
Now using the logarithmic rule logₐ(aⁿ) = n × logₐ(a) in the RHS of the above equation, we get
⇒ log₃(1) = 0 × log₃(3)
⇒ log₃(1) = 0 (Because 0 multiplied by any number equals zero,)
Therefore, the value of 1 = 3⁰ is given by log₃(1) = 0.
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what is the value of this equation?:
[tex]( \sqrt[3]{9} )^{2} \times ( \sqrt{30} ^{2}[/tex]
Answers
Answer:
Step-by-step explanation:
When we apply the exponent rule: [tex](\sqrt[n]{x})^n = x[/tex]
[tex](\sqrt[3]{9})^2 * (\sqrt{20})^2 = 30(\sqrt[3]{9})^2[/tex]
[tex]= \mathrm{Decimal:\quad }\:129.80246\dots[/tex]
A box of breakfast cereal contains 432 grams and 16 servings. How many grams are in one serving?
Answers
one serving is 432/19=27
27g are in one serving
Answer: 27 grams are in one serving.
WILL GIVE BRAINLIST TO BEST ANSWER
Julia drove a car 10 miles in 30 minutes. Jasmine drove a motorcycle 3 miles in 12 minutes. who drove faster? show work!
Answers
Julia drove faster,
Julia drove 0.33333333 miles per minute since 10/30=.33333333, 0.33333333 miles per minute
Jasmine drove .25miles per minute. 3/12=.25miles per minute
The puppy shelter where Riley works is moving to a new building. The rooms in the new building are built to hold 4 puppies each. Riley needs to figure out how many rooms she'll need to house a total of 72 puppies.
Use an equation to find the number of rooms Riley needs.
Answers
Riley needs 18 rooms for 72 puppies.
What is Division method?
Division method is used to distributing a group of things into equal parts.
Given that;
Riley works for puppy shelter moving to a new building.
The rooms in the new building are built to hold 4 puppies each.
Now, There are 1 room for 4 puppies.
Number of room for 4 puppies = 1
Hence, Number of room's for 72 puppies = 1/4 × 72
= 72/4
= 18
So, Riley needs 18 rooms for 72 puppies.
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Use the Change of Base Formula to evaluate each expression.
log ₁₂20
Answers
The value of the expression log ₁₂20 is 4.33.
Given that the expression is log ₁₂20.
We are required to find the value of the expression by using the change of base formula.
The change of base theorem is used by a person when we have been given logarithm values with different bases.
(We know that [tex]log _{a} b[/tex]=log b/ log a)
The expression is log ₁₂20.
log ₁₂20=log 20/log 12
Now we have to use values of log in the above expression to find its value.
=1.30/0.30
=4.33
Hence the value of the expression log ₁₂20 is 4.33.
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Factor each expression completely. x²+4 x+4
Answers
The factoring of the expression x²+ 4x+4 is (x+2)²
To solve this exercise, we have to follow the rules of factoring:
x²+ 4x + 4
1. Looking for the a and b number that state the following equations:
a + b = 4a * b = 4
Analyzing that (a*b) is a positive number, it means that (a) and (b) have the same signs.
The number could be:
a = 2
b = 2
Confirming:
a + b = 2 + 2 = 4
a * b = 2 * 2 = 4
2. Rewriting the factored expression (x+a)(x+b) with the obtained values, we get:
(x+2) (x+2)
3. Rewriting as the square of a binomial, we get:
(x+2)²
What is factoring?
Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.
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Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.
Answers
Answer:
Bro Im not gonna give u answer but im gonna give hint. I think u should make a chart with all possibilties and see how many of them can add upt o 11.
Write each expression in simplest form. (16 x¹/₄ y³/₃)⁻⁴
Answers
The Simplest form of the expression = [tex]2^{-16} x^{-1} y^{-4}[/tex]
We need to express as:
[tex]a^{m}[/tex]/[tex]a^{n}[/tex] = [tex]a^{m-n}[/tex]
As the expression is given :
[tex](16 x^{1/4}y^{3/3} ) ^{-4}[/tex]
= 1/ [tex](16 x^{1/4} y^{3/3}) ^{4}[/tex]
= 1/[tex](2^{4} x^{1/4} y^{3/3}) ^{4}[/tex]
= 1/[tex](2^{16} x^{1} y^{4} )[/tex]
= [tex]2^{-16} x^{-1}y^{-4}[/tex] (Simplest form of the equation)
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Solve each proportion. x/7 =28/49
Answers
Answer:
x = 4
Step-by-step explanation:
[tex]\frac{x}{7}[/tex] = [tex]\frac{28}{49}[/tex] ( cross- multiply )
49x = 7 × 28 = 196 ( divide both sides by 49 )
x = 4
7-3+5x(6-2)=
A 16
B 24
C 0
D 36
Answers
7-3=4+5=9
(6-2)=4
9*4=36
Solve. Check for extraneous solutions. √x+7 +5=x
Answers
x = 3 and x = 6 is extraneous solution.
√(x+7) +5=x
Subtracting 5 on both sides of the equation
√(x+7) + 5 - 5 = x - 5
√(x+7) = x - 5
Squaring both sides of the equation
(√(x+7))² = (x - 5)²
x + 7 = x² + 25 - 10x
x² - 9x + 18 = 0 ...(1)
By middle term splitting equation (1) can be written as
x² - 6x - 3x + 18 = 0
x(x - 6) -3(x - 6) = 0
(x - 3)(x - 6) = 0
x - 3 = 0 and x - 6 = 0
x = 3, 6
Check extraneous solution by putting the value of x in the original equation, we get
Let x = 3
√(3+7) +5 = 3
✓10 + 5 = 3
which is a contradiction, so, x = 3 is an extraneous solution.
Let x = 6
√(6+7) +5 = 3
✓13 + 5 = 3
which is a contradiction, so, x = 6 is an extraneous solution.
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2.
(01.06A LC)
Which rational number equals 0 point 3 with bar over 3 ? (5 points)
1 over 5
1 over 3
3 over 10
3 over 5
Answers
Answer:
1/3 or 1 over 3 but that is the correct answer
An athlete is training for a triathlon by running each day. After 3 1/2 days, they ran a total of 12 3/5 miles. On average, how many miles did this athlete run per day? This is a division question. The mixed number 3 1 2 is the divisor. pls help asap
Answers
On average, the number of miles the athlete ran per day is; 18/5 or 3.6 miles per day
How to calculate the average distance?
We are given;
Number of days the athletes ran = 3¹/₂ days = 7/2 days
Total distance ran in the given time = 12³/₅ miles = 63/5 miles
Now, the average distance will simply be given by the expression;
Average Distance = Total Distance/Number of days of running
Now, let us convert the fractions to improper fraction for easy division. Thus, we have;
Number of days the athletes ran = 7/2 days
Total distance ran in the given time = 63/5 miles
Thus;
Average Distance = (63/5)/(7/2)
Average distance = 63/5 * 2/7 = 18/5 = 3.6 miles per day
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Every counting number is a rational number true or false
Answers
Answer: True
Reason:
The counting numbers, aka the set of natural numbers, is the set {1, 2, 3, 4, 5, ...} which is the set of positive integers
A value like 5 is the same as 5/1, which shows it is rational.
A rational number is any fraction of two whole numbers (eg: 2/3 and 4/7). The denominator cannot be zero.
Since we can rewrite the 5 as 5/1, it can be done with any counting number to show the natural numbers is a subset of the rational numbers.
Any counting number is rational, but not the other way around.
Brad, a teenager, saves up his monthly allowance over a period of six months to buy a pair of high-resolution headphones. He lends his friend, Jorge $10 from his savings. If Brad has $272 now, calculate his monthly allowance
Answers
If Brad has $272 now and lent his friend Jorge $10, his monthly allowance is $47.00
What is the total monthly allowance over 6 months?
Brad total monthly allowance over 6 months is the sum of the amount lent to Jorge and the balance Brad has currently which is $272
total allowances for 6 months=$272+$10
total allowances for 6 months=$282
monthly allowance=total allowances for 6 months/6 months
monthly allowance=$282/6
monthly allowance=$47.00
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Cadence baked 45 cupcakes on Tuesday. This was 3 more than twice the number of cupcakes she baked on Monday. How many cupcakes did Cadence bake on Monday?
Group of answer choices
25
21
24
14
Answers
Considering the definition of an equation and the way to solve it, the correct answer is the third option: Cadence baked 21 cupcakes on Monday.
Definition of equation
An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns.
The members of an equation are each of the expressions that appear on both sides of the equal sign.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.
Cupcakes baked on Monday
Being "x" the number of cupcakes baked by Cadence on Monday, and knowing that:
Cadence baked 45 cupcakes on Tuesday. The number of cupcakes baked on Tuesday was 3 more than twice the number of cupcakes she baked on Monday.
the equation in this case is:
3 + 2x= 45
Solving:
2x= 45 -3
2x= 42
x= 42 ÷ 2
x= 21
Finally, the correct answer is the third option: Cadence baked 21 cupcakes on Monday.
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Find any points of discontinuity for each rational function. y= x-1 / (x+1)²
Answers
Point of discontinuity for each rational function. y= x-1 / (x+1)² is x = -1
What is the discontinuity of a function?
In algebra, a discontinuous function is one that has a point at which the function is not defined, at which the left-hand limit and right-hand limit are equal but not equal to the value of the function at that point, or at which the limit of the function does not exist. Discontinuous functions may have three different sorts of discontinuities: jump, removable, and essential. The graph of a discontinuous function contains gaps.
Given the function is -
y= x-1 / (x+1)²
It can be expressed in the form of -
y = x-1 / (x+1)(x+1)
The function will be undefined if the denominator will be 0
⇒ x+1 = 0
⇒ x = -1
So we can conclude that the function will be undefined at point x = -1
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34+35?
WILL MARK BRAINLIEST
Answers
Answer: 69
Step-by-step explanation:
34
+
35
=
69
Answer:
69
Step-by-step explanation:
30 + 30 = 60
4 + 5 = 9
60+9= 69
Basic addition, also can be solved with a calculator
Hope this helped :)
I don't understand this question
Answers
The probabilities of all possible outcomes must sum to 1. So the missing probability is
1 - 1/2 - 3/10 - 1/20 = (20 - 10 - 6 - 1)/20 = 3/20
Isaac is the oldest of three siblings whose ages are consecutive even integers. If the
sum of their ages is 54, find Isaac's age.
Answers
Answer:
I believe it’s 20
Step-by-step explanation:
1st: 2x-2
2nd: 2x
3rd: 2x+2----
sum = 54
6x = 54
x = 9
1st: 2x-2 = 16
2nd: 2x = 18
3rd: 2x+2 = 20
a bacteria culture starts with 660 bacteria and grows at a rate proportional to its size. after 4 hours there will be 2640 bacteria. (a) express the population after t hours as a function of t. population: equation editor (function of t)
Answers
Answer:
T=x(T*2) where X=660
Step-by-step explanation:
If it has been 2 hours than t=2
plug in 2 for t and you get x*4
As storm clouds gathered, the temperature fell 4 degrees in
3
4
of an hour. At what rate was the temperature falling?
Answers
The rate of falling temperature is 5 1/3 degrees per hour.
What do you mean by the rate of temperature?
This indicates the sensitivity of the reaction to change in temperature.
Given that;
The temperature fell 4 degrees in 3/4 of an hour.
So, we can set up a proportion to see how much temperature fell in an hour,
[tex]\frac{4}{3/4} = \frac{x}{1}[/tex]
4 /0.75 = x
x = 5 1/3
Hence, The rate of falling temperature is 5 1/3 degrees per hour.
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Qwhat is the value of 2x^2-10x+13
Answers
The value of the quadratic equation 2x^2 - 10x + 13 when x = 2 is 1
What are quadratic equations?
Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the value of the quadratic equation?
The quadratic equation is given as
2x^2 - 10x + 13
When the value of x is 2, the quadratic equation becomes
2x^2 - 10x + 13 = 2 x 2^2 - 10 x 2 + 13
Evaluate the exponent
So, we have
2x^2 - 10x + 13 = 2 x 4 - 10 x 2 + 13
Evaluate the product
So, we have
2x^2 - 10x + 13 = 8 - 20 + 13
Evaluate the difference
So, we have
2x^2 - 10x + 13 = -12 + 13
Evaluate the sum
So, we have
2x^2 - 10x + 13 = 1
Hence, the value of the quadratic equation 2x^2 - 10x + 13 when x = 2 is 1
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Complete question
What is the value of 2x^2-10x+13 when x = 2
Psychologists use an exponential model of the learning process, f(t)= c(1-e -kt) , where c is the total number of tasks to be learned, k is the rate of learning, t is time, and f(t) is the number of tasks learned.
a. Suppose you move to a new school, and you want to learn the names of 25 classmates in your homeroom. If your learning rate for new tasks is 20 % per day, how many complete names will you know after 2 days? After 8 days?
Answers
We will know 8 complete names after 2 days and 20 complete names after 8 days.
Here, we are given an exponential function: f(t)= c{1- [tex]e^{-kt}[/tex]}
where f(t) = number of tasks learned.
c = total number of tasks to be learned
k = rate of learning
t = time
Now, when we move to a new school, number of names we need to learn ⇒ c = 25
learning rate for new tasks = 20%
⇒ k = 0.2
and time = 2 days
⇒ t = 2
Substituting these values in the given function we get-
f(2) = 25{1- [tex]e^{-0.2 *2}[/tex]}
= 25{1- [tex]e^{-0.4}[/tex]} [tex]e^{-0.4}[/tex]
= 0.67
Thus, f(2) = 25( 1-0.67 )
f(2) = 25(0.33)
f(2) = 8.25
Thus, we will be able to learn 8 complete names in 2 days.
If t = 8f(8) = 25{1- [tex]e^{-0.2 * 8}[/tex]}
= 25{1- [tex]e^{-1.6}[/tex]}
= 25(1- 0.20)= 25(0.80)
= 20
Thus, we will be able to learn 20 complete names in 8 days.
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