The coordinates after going left 4 units and up 7 units are ( -4,7)
And the quadrant would be the second quadrant.
For the graph, name the parent function and write an equation of the graph.
This is a transformation of the parent square root function, and it can be written as:
f(x) = √(-x + 4) - 2
Which is the parent function graphed?
It is ratter easy to identify the shape of the general square root function:
f(x) = √x
The only difference is that now it opens to the left, and it starts at the point (4, -2)
Then:
The sign of the x must be negative.
And with the known vertex we can write the equation:
f(x) = √(-x + 4) - 2
That is the graphed function.
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Write three pairs of Prime numbers less than 20 whose sum is divisible by 5
\(\huge{ \color{black}{ \boxed{ \color{hotpink}{Answer}}}}\)
Three pairs of Prime Numbers less than 20 whose sum is divisible by 5 are (2,3), (3,7), (2,13)
\( \: \)
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What are the new coordinates if the figure were rotated 90 degrees counterclockwise
Answer:
third option
Step-by-step explanation:
under a counterclockwise rotation of 90° about the origin
a point (x, y ) → (y, - x )
Then
A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )
B (2, - 2 ) → (- 2, - 2 )
C (1, - 4 ) → (- 4, - 1 )
The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
How to determine the new coordinates rotating by 90 degrees counterclockwiseFrom the question, we have the following parameters that can be used in our computation:
The figure,
Where, we have
A = (-1, -2)
B = (2, -2)
C = (1, -4)
The rule of 90 degrees counterclockwise is
(x, y) = (-y, x)
Using the above as a guide, we have the following:
A = (2, -1)
B = (2, 2)
C = (4, 1)
Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
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A division of a company produces income tax apps for smartphones. Each income tax app sells for $8. The monthly fixed costs incurred by the division are $20,000, and the variable cost of producing each income tax app is $3.
a) The break-even point for the division is: 4000 units
b) The level of sales for 10% profit is: 4681 units
How to find the break even point for the profit function?The break-even point is defined as the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business. In other words, you've reached the level of production at which the costs of production equals the revenues for a product.
a) We are told that:
Selling price for income tax app = $8
Monthly fixed cost = $20000
Variable cost producing each app = $3
Thus:
8x = 3x + 20000
5x = 20000
x = 4000 units
b) 8x = 1.1(3x + 20000)
8x = 3.3x + 22000
4.7x = 22000
47x =220000
x = 4681 units
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Missing questions are:
(a) Find the break-even point for the division.
(x,y)=
(b) What should be the level of sales in order for the division to realize a 10% profit over the cost of making the income tax apps? (Round your answer up to the nearest whole number.)
True or false? In a two-column proof, the left column states your reasons.
A. True
B. False
A. True.
In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.
The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).
Explanation:The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.
A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.
For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.
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A woman wants to get to two destinations, A and B. From home to A there are 5 possible routes. From A to B
there are 5 possible routes. How many possible routes are there from home to B, if all of them go through A first?
From home to A has 5 routes. Ex: Route A,B,C,D,E.
A to B has 5 routes. Ex: Route F,G,H,I,J
The shorter way is 5x5 = 25
The longer way is A.F , A.G, A.H, A.I, A.J. + B.F, B.G, B.H, B.I, B.J and continue on...
1
1 point
An object is launched at 12.5 meters per
second from a 24.8 meter tall platform.
The equation for the object's height is
h(t) = -3.21 + 12.5t + 24.8.
When does the object strike the ground?
-2
5.7
ООО
8
O

Answer:
5.33 secs
Step-by-step explanation:
Given the equation of the height modeled by the equation/
h(t) = -3.2 + 12.5t + 24.8
The object strikes the ground when the height h(t) is zero
Substituting h(t) = 0 into the expression
h(t) = -3.2t² + 12.5t + 24.8
0 = -3.2t² + 12.5t + 24.8
-3.2t² + 12.5t + 24.8 = 0
Multiply through by minus sign
3.2t² - 12.5t - 24.8 = 0
From the expression a = 3.2, b = -12.5 and c = -24.8
t = -(-12.5)±√(-12.5)²-4(3.2)(-24.8)/2(3.2)
t = 12.5±√156.25+317.44)/6.4
t = 12.5±√473.69/6.42
t = 12.5±21.76/6.42
t = 12.5+21.76/6.42
t = 34.26/6.42
t = 5.33secs
Hence the object strike the ground after 5.33 secs
A couple plans to purchase a house. The bank requires a 20% down payment on the $240,000 house. The couple will finance the rest of the cost with a fixed- rate mortgage at 8.5% annual interest with monthly payments over 30 years.
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
(b) Find the amount of the mortgage.
(c) Find the monthly payment.
(A) The required down payment is $48,000.
(B) The amount of the mortgage is $192,000.
(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
(a) To find the required down payment, we need to calculate 20% of the house price.
Down payment = 20% of $240,000
Down payment = 0.2 * $240,000
Down payment = $48,000
The required down payment is $48,000.
(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.
Mortgage amount = Total cost of the house - Down payment
Mortgage amount = $240,000 - $48,000
Mortgage amount = $192,000
The amount of the mortgage is $192,000.
(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where:
P = Principal amount (mortgage amount)
r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)
n = Total number of monthly payments (30 years multiplied by 12 months)
Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
Using this formula and performing the calculation will give you the monthly payment amount.
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Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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Could somebody pls help me with this question
Answer:
18 minutes is the answer
Step-by-step explanation:
•Time couple rested in 2 hrs = 12 min
•Time couple rested in 1 hr = 12/ 2 min = 6min
•Time couple rested in 3 hrs = 6×3 min = 18 min
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1. Prove ~ (Pvq) <=> (~P^~9).
Algebra of propositional variables
2. P^ q = q^q
P v q = q v p
show that both are commutative
Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
How to explain the commutative property.It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property
From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.
In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.
Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
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what is da rate to question
The calculated value of the rate of the graph is 0.8
How to determine the rate of the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(0, -16) and (20, 0)
The rate of the graph is calculated as
Rate = Change in y/x
using the above as a guide, we have the following:
Rate = (0 + 16)/(20 - 0)
Evaluate
Rate = 0.8
Hence, the rate is 0.8
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If the ratio of x:8=21:24, what is the value of x?
Answer:
See below.
Step-by-step explanation:
For this problem, we are asked for the value of x.
Let's use a Proportion to identify x.
What is a Proportion?A Proportion is a comparison of two equivalent fractions, or ratios.
An example of a proportion can be; \(\frac{x}{16} =\frac{16}{32}\), where the value of x is 8.
For this example, we can find x by dividing the Numerator and Denominator by 2.
Let's use the example as a guide for our problem.
We can set up our problem as a ratio, or a fraction. Both represent the same data.
\(\frac{x}{8} = \frac{21}{24}\)
We should know that 24 is 3 times bigger than 8, hence we should divide both the Numerator and Denominator by 8.
\(\frac{21 \div 8}{24 \div 8} = \frac{7 \ (x)}{8}\)
The value of x is 7.
Answer: x = 7
Step-by-step explanation:
Given:
x:8 = 21:24
Rewrite as fractions:
\(\displaystyle \frac{x}{8} =\frac{21}{24}\)
Cross-multiply:
x * 24 = 8 * 21
24x = 168
Divide both sides of the equation by 24:
x = 7
What is the value of the expression below -64 5/6
Answer:
389/6
Step-by-step explanation:
thts the answer
Hello, could someone please help me with this
Answer:
27.825
Step-by-step explanation:
Sure!
To turn a fraction into a decimal you simply divide 33 by 40. The whole number - 27 - can stay.
27 33/40 = 27 + (33/40)
= 27 + 0.825
= 27.825
Mark brainliest if possible, have a nice day!
Your child is prescribed amoxicillin (40mg/kg/day; not to exceed 1500 mg per 24 hour period) to be
given 3 times per day. If she weighs 81 pounds, what is the maximum dose that she should
receive? (round to the nearest milligram)
Answer:
491 mg per dose
Step-by-step explanation:
1 kg ≈ 2.2 lbs
81/2.2 36.82 kg
40*36.82 ≈ 1472.8 mg/day
1472.8/3 ≈ 490.93
to the nearest mg = 491 mg per dose
solve for m p=mnq, whats the answer
Easy buddy...
\(p = m \times n \times q\)
Divided the sides of the equation by n
\( \frac{p}{n} = m \times q \\ \)
Divided the sides of the equation by q
\( \frac{p}{n \times q} = m \\ \)
So
\(m = \frac{p}{nq} \\ \)
_________________________________
And we're done.
Thanks for watching buddy good luck.
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a=(v+w)(k-x), for x
I would appreciate it if you included the steps for solving it too!!!!
Step-by-step explanation:
\(a=(v+w)(k-x)\)
\((k - x) = \frac{a}{(v + w)} \)
\(x = k - \frac{a}{v + w} \)
\(x = \frac{kv + kw - a}{v + w} \)
The class levels of 28 students in a physics course are shown below. Find the mean, median, and mode of the data, if possible. If any measure cannot be found, explain why
Freshman: 5
Sophomore: 2
Junior: 11
Senior 10
Answer:
Mean and median of categorical data cannot be found. Mode would be the most often observed value.
Step-by-step explanation:
The mean and median of the data cannot be found.
The mode of the data can be found and it is junior.
What do we understand by the mean of data?The mean of data is the average value of the whole data.
It is calculated by adding all the terms and dividing the total by the number of terms.
Mean = ∑x/n, where x represents variables, and n represents the number of variables.
What do we understand by the median of data?The median of data is the middlemost value in the data when the data is arranged in ascending or descending order.
When we have an odd number of observations say n,
Then median = (n + 1)/2th observation.
When we have an even number of observations say n,
Then median = { n/2th observation + (n/2 + 1)th observation}/2
What do we understand by the mode of data?The mode of data is the variable with the maximum frequency.
How do we solve the given question?We are provided with the class levels of 28 students as follows:
Freshman: 5
Sophomore: 2
Junior: 11
Senior 10
To calculate the mean and median we need numeric data, but we are provided with categorical data only. So we can't calculate the mean and the median of this data.
The mode can be calculated as it is just the data with maximum frequency. In the provided data, the mode is Junior.
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A triangle, ABC, has angle measures of 45°, 45°, and 90° and two congruent (equal) sides. How would this triangle be classified?
O Isosceles acute
O Scalene acute
O Scalene right
O Isosceles right
Answer:
(d) Isosceles right
Step-by-step explanation:
You want to know the classification of a triangle with angles 45°-45°-90°.
ClassificationThe largest angle is 90°, a right angle. Any triangle containing a right angle is a right triangle.
Two of the angles have the same measure. This means the triangle is an isosceles triangle.
The triangle is classified as an isosceles right triangle.
__
Additional comment
A triangle whose largest angle is less than 90° is an acute triangle. If the largest angle is greater than 90°, it is an obtuse triangle.
If no sides are the same length, the triangle is scalene. If two sides are the same length, the triangle is isosceles. If all three sides are the same length, it is an equilateral triangle.
Larger angles are opposite longer sides, so if angles are the same, their opposite sides are the same.
It can be worthwhile to remember that the side length ratios in an isosceles right triangle are 1 : 1 : √2.
Charlene was making some chocolate squares for her class party. She had 8 packages of the mix. Each package called for cup of milk. How many whole cups of milk would Charlene use for all 8 packages?
The number of whole cup of milk that Charlene would use for all 8 packages would be = 8 cups of whole milk.
What is a square?A square is a type of quadrilateral that has four sides with four angle 90° at each edge.
The number of chocolate square mixture Charlene would use for the party = 8 packages.
The number of packages that require a cup of milk = 1
Therefore the number of whole cups of milk that would be used for the whole 8 packages would be = 8×1 = 8 cups of whole milk.
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Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
If you know the answer I will give a hundred brainist
Answer:
18.09
Step-by-step explanation:2.4x2.4, then x3.14
Answer:
answers below
Step-by-step explanation:
If you are trying to find the area the answers are:
Earth= 289.52918
Saturn=6,532.5021
The formula for area for a sphere is:
4 x pie x r2
If you are trying to find the volume the answers are:
Earth=57.90584
Saturn=46,647.01596
The formula for volume for a sphere is:
4/3 x pie x r3
Also the radius (r) is half of the diameter, so you divide the diameter by 2.
Please help with parts (a), (b),and (c).No need much explanation
Given the Histogram that summarizes the data obtained by Kemala:
(a) The Class Width is the length of the intervals.
In order to find the Class Width, you need to subtract the lowest value of each bar from the lowest value of the previous bar.
In this case, you get:
\(\begin{gathered} 5-2=3 \\ 8-5=3 \\ 11-8=3 \end{gathered}\)Therefore:
\(Class\text{ }Width=3\)(b) You need to identify the number of beaches that had 10 or fewer pregnant turtles. Therefore, you need to add the corresponding number of beaches that correspond to these bars (A, B and C):
Then, you get:
\(3+8+4=15\)(c) You can identify that the interval of the last bar is from 11 to 13, and the number of beaches that corresponds to that bar is:
\(6\)As you can see below
Hence, the answers are:
(a)
\(3\)(b)
\(15\)(c)
\(6\)Help
Identify the equation that represents a quadratic relationship
y =4x^2
y =4x^4
y =4x^3
y =4
The equation that represents a quadratic relationship is y = 4x^2. Option A.
A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.
Let's analyze the given equations:
1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.
2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.
3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.
4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.
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In Canada, 92% of the households have televisions.
72% of households have televisions and internet access.
5% have neither. Use appropriate probability notation to answer the following:
A) create a relative frequency table of this situation.
Answer: Let "T" denote households with television
"I" denote households with internet
and "N" denote households with neither of these.
Since P(N) = 0.05 then it means P(TuI) = 0.95. We know from set theory that P(TuI) = P(T) + P(I) - P(TnI). Thus,
0.95 = 0.92 + 0.72 - P(TnI) ==> P(TnI) = 0.69. This means P(T/I) = P(T) - P(TnI) = 0.92 - 0.69 = 0.23, and P(I/T) = P(I) - P(TnI) = 0.72 - 0.69 = 0.03. So,
a)
House Probability
Nothing 0.05
Only television 0.23
Only internet 0.03
Both 0.69
b) P(internet but no television) = P(only internet) = 0.03
c) P(internet | there is television) = (By Bayes' Rule) P(TnI) / P(T) = 0.69 / 0.95 = 0.726 (rounded to 3 decimal points)
d) P(internet | there is no television) = (By Bayes' Rule) P(I/T) / P(T') = 0.03 / 0.08 = 0.375
e) From (c) and (d) ==> In Canada, it is (0.726/0.375 ≈ 2 ) twice more likely that if there's television in the household, then there is internet.
Step-by-step explanation:
I need help with math ngl
Answer:
Oldest to newest:
10^-35, 10 ^-10, 0
Step-by-step explanation:
Scientific notation
To figure out the power of 10 think "how many places do I move the decimal point?"
When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.
When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.
naina made a 10 layer multi strand ornament for her friend Diana. She used 45 beads for the first layer, 42 beads in the 2nd layer and 39 beads in the third layer. how many total beads did naina use to complete the ornament
Answer:
To find the total number of beads Naina used to complete the ornament, we need to sum the number of beads in each layer.
Total number of beads = 45 + 42 + 39 + ... (continue the pattern until the 10th layer)
Notice that the number of beads in each layer decreases by 3. We can use arithmetic series formula to find the sum of the beads in all 10 layers:
S = (n/2) x (a + l)
where S is the sum, n is the number of terms, a is the first term, and l is the last term.
Here, a = 45, l = 18 (since the 10th layer will have 18 beads), and n = 10 (since there are 10 layers). Thus, we have:
S = (10/2) x (45 + 18) = 5 x 63 = 315
Therefore, Naina used a total of 315 beads to complete the ornament.
Answer:
The answer to your problem is, 1260
Step-by-step explanation:
Well we know she made 10 “ strand ornaments “ for each layers we would need to add;
45 + 42 + 39
= 126
We would actually then need to multiply it by 10. Shown:
126 × 10
= 1260
Thus the answer to your problem is, 1260
15. AB2+ BC2 = AC²
O A.
OB.
O C.
OD.
2 BDC = LADB
LBCA
DCB
2 BAC = LBAD
2 DBC = LBAC
multipl
Rese
Answer:
Step-by-step explanation:
A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds. (Round your answer to three decimal places.)
t(s) v(m/s)
0 0
0.5 4.63
1.0 7.34
1.5 8.88
2.0 9.77
2.5 10.28
3.0 10.57
3.5 10.63
4.0 10.76
4.5 10.89
5.0 10.89
Answer:
44.835 meters
Step-by-step explanation:
From the table, we have that:
b = 5, a = 0, n = 10.
The Simpson's Rule is written in the equation below:
\(estimated\ distance = (b -a) (f(0) + 4f(0.5) + 2f(1) + 4f(1.5) + 2f(2) + 4f(2.5) + 2f(3) + 4f(3.5) + 2f(4) + 4f(4.5) + f(5))/(3n)\)
So substituting the values, we have that:
\(estimated\ distance = (5-0)* (0 + 4*4.63 + 2*7.34 + 4*8.88 + 2*9.77 + 4*10.28 + 2*10.57 + 4*10.63 + 2*10.76 + 4*10.89 + 10.89)/(3*10)\)
\(estimated\ distance = 44.835\ meters\)
So the estimated distance the runner covered during this 5 seconds is 44.835 meters
The required estimated distance the runner covered during this 5 seconds is 44.835 meters.
We have to determine, seconds of a race (see the table). Use Simpson's Rule to estimate the distance the runner covered during those 5 seconds.
According to the question,
A radar gun was used to record the speed of a runner during the first 5 seconds of a race,
t(s) 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0
v(m/s) 0 4.63 7,34 8.88 9.77 10.28 10.57 10.63 10.76 10.89 10.89
Here,
n = 10
a = 0
b = 5
Then,
By using Simpson's Rule to estimate the distance the runner covered during those 5 seconds.
Estimated distance;
\(=\frac{ (b-a) f(0)+ 4f (0.5) +2f(1) +4f(1.5) +2f(2)+ 4f(2.5) + 2f(3)+ 4f(3.5) + 2f(4) + 4f(4.5) + f(5)}{{3n}}\\\\\)
Substitute the given values in the equation,
\(=\frac{(5-4) \times ( 0+4 \times 4.63 + 2 \times 7.34 + 4 \times 8.88 +2 \times 9.77+ 4 \times 10.28 + 2 \times 10.57 + 4 \times 10.63 + 2 \times 10.76 + 4 \times 10.89 + 10.89)} {3 \times10}\\\\= 43.835 \ meter\)
Hence , The required estimated distance the runner covered during this 5 seconds is 44.835 meters.
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