Multiply hourly rate by 1.5:
10.98 x 1.5 = 16.47
Answer: B. $16.47
Please read the caption! Thanks!! Pls help me :)))
Answer:
SAS
Step-by-step explanation:
Using the process of elimination, we are given 2 sides therefore we can eliminate the 2nd and 3rd option. Since we don't have all three sides it must be side, angle side.
Re-write the quadratic function below in Standard Form
Answer:
y=3x²+24x+45
Step-by-step explanation:
y=3(x+3) (x+5)
y=(3x+9) (x+5)
y=3x²+15x+9x+45
y=3x²+24x+45
Which expression is equivalent to (9⋅5)2/3
\(\huge\text{Hey there!}\)
\(\huge\boxed{\dfrac{(9 \times5) 2}{3}}\)
\(\huge\boxed{9 \times 5 = \bf 45}\)
\(\huge\boxed{ = \dfrac{45(2)}{3}}\)
\(\huge\boxed{45(2) = \bf 90}\)
\(\huge\boxed{= \dfrac{90}{3}} \\\\\huge\boxed{= \dfrac{90\div3}{3\div3}}\\\\\huge\boxed{= \dfrac{30}{1}}\)
\(\huge\boxed{= \bf 30}\)
\(\huge\boxed{\rm{Answer: 30}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\huge\boxed{\frak{Amphitrite1040:)}}\)
Answer:
30
Step-by-step explanation:
\( \small \sf = \frac{( 9 × 5 ) 2 }{3} \\ \)Multiply 9 and 5 to get 45.
\( \small \sf = \frac{ 45 × 2 }{3} \\ \)Multiply 45 and 2 to get 90.
\( \small \sf = \frac{ 90 }{3} \\ \)Divide 90 by 3 to get 30.
= 30what is the average rate of change of y with respect to x over the interval [1, 5] for the function y = 4x 2?
The average rate of change of y with respect to x over the interval [1, 5] for function \(y=4x^{2}\) is 24.
To find the average rate, follow these steps:
The formula for the average rate of change is expressed as rate= (f (b) - f (a)) / (b - a), where the letters a and b represent two points on the interval that is being analyzed and f (a) and f (b) are the function values of those points. The interval [1, 5] is being considered here so the value of a =1 and value of b=5.So, the average rate of change of y with respect to x is given by;(f(b)−f(a))/(b−a) = [f(5)−f(1)]/(5−1). By substituting x = 5 into the function equation, we get f(5) = \(4(5)^2\) = 100. By substituting x = 1 into the function equation, we get f(1) = \(4(1)^2\) = 4. Substituting these values into the average rate of change formula;[f(5)−f(1)]/(5−1) = (100 - 4) / 4 = 96/4 = 24.Therefore, the average rate of change of y with respect to x over the interval [1, 5] for the function \(y=4x^{2}\) is 24.
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statistics the art and science of learning from data 4th edition
"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.
Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.
This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.
Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.
When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.
In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.
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In the triangle below, with right angle ZL, suppose that mM=(5x+15)° and m N= (4x+3)⁰.
Find the degree measure of each angle in the triangle.
N
(4x + 3)°
15x+15)
Please help I’m super stressed and crying I need this
On solving the provided question, we can say that by using the triangle, ∠LNM=35° and ∠NML=55°
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
∠LNM=(4x+3)°
∠NML=(5x+15)°
∠NLM=90°
Since, its right angle triangle, sum of all angle is 180°
∠LNM+∠NML+∠NLM=180°
(4x+3)+(5x+15)+90=180°
9x+18=90°
9x=72
x=8
Hence,
∠LNM=(4x+3)°=4*8+3=35°
∠NML=(5x+15)°=5*8+15=55°
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In the reading, it states: F∝ r 2
1
What is the interpretation of this equation? A. Gravity is a force that acts as a directly proportional square law with respect to distance. B. Gravity is a force that acts as an inversely proportional law with respect to distance. c. Gravity is a force that acts as an inversely proportional square law with respect to distance. D. Gravity is a force that acts as an directly proportional law with respect to distance. QUESTION 2 What is currently used to test how the constant G has changed over the evolution of the Universe? A. atoms B. type la supernovae c. black holes D. comets QUESTION 3 By the same token as this excerpt, the gravity of the Sun is directed and A. upwards; towards the center of the Sun B. downwards; towards the surface of the Sun c. upwards; towards the surface of the Sun D. downwards; towards the center of the Sun
1. C. Gravity is a force that acts as an inversely proportional square law with respect to distance.
2. B. Type Ia supernovae
3. D. Downwards; towards the center of the Sun
The interpretation of the equations and the correct options for the given questions are as follows:
Question 1:
The equation interpretation is related to gravity. The equation states a relationship between gravity and distance. The correct option is:
C. Gravity is a force that acts as an inversely proportional square law with respect to distance.
Question 2:
To test how the constant G (gravitational constant) has changed over the evolution of the Universe, certain phenomena or objects are used. The correct option is:
B. Type Ia supernovae
Question 3:
Based on the excerpt, the direction of gravity from the Sun is described. The correct option is:
D. Downwards; towards the center of the Sun
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The diagonals of kite KITE intersect at point P. Which statement is true?
A. < KIE =
B.
C.
D.
Based on the properties of a kite, the statement that is true is: D. KPE = TPE.
What is a Kite?A kite is a quadrilateral in which its diagonals intersect at right angles.
Also, the non-vertex angles of a kite are congruent, that is they have equal measure.
Angle KPE and angle TPE in the given kite are right angles formed at the point of intersection of the two diagonals of the kite. They both equal 90 degrees.
Therefore, the true statement is:
D. KPE = TPE
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A team is having a car wash as a fundraiser. They wash 24 cars in 3 hours. What is their unit rate in cars per hour?
Answer:
8 cars per hour
Step-by-step explanation:
Answer:
8 cars per hour
Step-by-step explanation:
24/3 = 8
To find the rate you divide 24 by 3 which leaves you with 8
{(-2, 6), (2, 0), (3, 6), (4, -1), 5, 3)}
Dom:
Range:
Function?
Answer:
Domain = {-2, 2, 3, 4, 5}
Range= {6, 0, 6, -1, 3)
It is a function
Step-by-step explanation:
It is a function because there is only one y value for each x value
Ernesto saves $5.25 every week about how many weeks will take Ernesto to save $315
Answer:
It will take 60 weeks for Ernesto to save $315
Answer:
60 weeks or 15 months.
Step-by-step explanation:
y = mx + b
315 = 5.25x + 0
Divide 315 by 5.25 and you get 60, so 60 weeks or 15 months. Check by plugging it into the equation.
315 = 5.25(60) + 0
315 = 5.25(60)
315 = 315
mad : 9,7, 11, 10, 8
The mean absolute deviation (MAD) for the given sequence 9, 7, 11, 10, 8 is 1.2.
Calculate the mean absolute deviation (MAD) for the sequence of numbers 9, 7, 11, 10, 8:
Find the mean (average) of the numbers:
Mean = (9 + 7 + 11 + 10 + 8) / 5 = 45 / 5 = 9.
Calculate the absolute deviation for each number by subtracting the mean from each data point and taking the absolute value:
Absolute deviations: |9 - 9|, |7 - 9|, |11 - 9|, |10 - 9|, |8 - 9|
= 0, 2, 2, 1, 1.
Find the mean of the absolute deviations:
MAD = (0 + 2 + 2 + 1 + 1) / 5 = 6 / 5 = 1.2.
Therefore, the mean absolute deviation (MAD) for the given sequence 9, 7, 11, 10, 8 is 1.2.
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Question
"Calculate the mean absolute deviation (MAD) for the following sequence of numbers: 9, 7, 11, 10, 8."
1) A store is having a 10% -off sale on all merchandise.
If Mai buys one item and saves $18, what was the original price of her purchase?
Write your answer and explain or show your reasoning
Below
The original price of her purchase is $18
What was the original price of her purchase?From the question, we have the following parameters that can be used in our computation:
Discount = 10%
Savings = $18
This implies that
Savings = discount * Original amount
So, we have
Original amount = savings/discount
Substitute the known values in the above equation, so, we have the following representation
Original amount = 18/10%
Evaluate
Original amount = $180
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Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers, In each case find the range and domain of the relation and determine whether the relation is or is not a function.
Since there are no vertical lines in this graph that indicate the same x value, it is a function since there are no x values that are the same.
The set of values that a function accepts is referred to as its range, while the set of values for which a function is defined is referred to as its domain. (In elementary school, you probably referred to the range as the solution set and the domain as the replacement set.
Domain : -2≤x≤0
Range : -2≤x≤2
The relation is a Function.
Therefore,
The domain is all the x values.
All the x values are either equal or greater than -2, and less than or equal to -0
The range is all the y values.
Apply the same logic as the domain.
Since there is no vertical line in this graph that indicates the same x value, a function is one in which no two x values are the same.
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1. Find the sum of csc230° and cot2 45°.
Answer:
5
Step-by-step explanation:
Based on the given conditions, formulate
Evaluate the expression:
Calculate the power:
Calculate the first two terms:
Answer:
The width of a rectangle measures (4. 2v – 2. 6) centimeters, and its length
measures (1. 5v + 6. 7) centimeters. Which expression represents the perimeter, in
centimeters, of the rectangle?
add the two sides together, giving us 8.4v + 13.4, which is the perimeter of the rectangle in centimeters.
2(4.2v - 2.6) + 2(1.5v + 6.7) = 8.4v + 13.4
1. Multiply the width by two to get the two sides: 2(4.2v - 2.6)
2. Multiply the length by two to get the other two sides: 2(1.5v + 6.7)
3. Add the two sides together to get the perimeter: 8.4v + 13.4
To calculate the perimeter of the rectangle, we must first find the length of the two sides. To do this, we multiply the width by two, giving us 2(4.2v - 2.6). This gives us the length of the two sides opposite each other. We then multiply the length by two, giving us 2(1.5v + 6.7). This gives us the length of the other two sides. We then add the two sides together, giving us 8.4v + 13.4, which is the perimeter of the rectangle in centimeters.
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What is the Roman number of 500 and 1000?
Answer:
500=D 100=M
Step-by-step explanation:
I hope that helps :D
5 Granola bars cost $4.00
b. Fill in the table that shows the
costs for 10, 15, and
20 granola bars. Find the cost for a
single granola bar in each case.
Answer:
1 granola bar =
Step-by-step explanation:
10 granola bars= $4.00 x 2 = $8.00
15 granola bars=$4.00 x 3 = $12.00
20 granola bars=$4.00 x 4 = $16.00
1 granola bar = $0.80p
please help me with this
Answer:
see explanation
Step-by-step explanation:
2πr (230/360) = 2(3.142)(40) = 160.59 cm = circumference
160.59 = 2πr
base radius = 25.56 cm
Use pythagorean formula for semi-vertical height
40² = h² + 25.56²
h = 30.77 cm
volume = 1/3πr²h
V = 1/3(3.142)(25.56)²(30.77) = 21,053.98 cm³
Use the given information to prove the following theorem.
If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
We let P be any point on line I, but different from point X.
The two right triangles formed by the perpendicular bisector of the segment \(\overline{YZ}\) are congruent, therefore, \(\overline{YP}\) is congruent to \(\overline{ZP}\) by CPCTC and YP = ZP by definition of congruence.
What are congruent triangles?Congruent triangles are triangles that have the same shape, sizes and interior angles.
The two column table to prove that a point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment can be presented as follows;
Statement \({}\) Reasons
\(\overline{PX}\) is the ⊥ bisector of \(\overline{YZ}\) Given
∠YXP = ∠ZXP = 90° \({}\) Definition of perpendicular bisector
ΔXYP and ΔXZP are right Δs\({}\) Definition
\(\overline{YX}\) ≅ \(\overline{ZX}\) \({}\) \({}\) Definition of bisected segment
\(\overline{XP}\) ≅ \(\overline{XP}\) \({}\) Reflexive property
ΔXYP ≅ ΔXZP \({}\) SAS congruence rule
\(\overline{YP}\) ≅ \(\overline{ZP}\) \({}\) CPCTC
YP = ZP \({}\) Definition of congruence
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So quick question
One friend solves 7(x+4)=49 by dividing each side by 7 and then subtracting 4 from each side. Another friend solves it by first distributing the 7 on the left side of the equation, then subtracting 28 from each side. Which friend uses the method correctly? Explain.
Answer:
The first friend
Step-by-step explanation:
Because if you distributed the 7 then you will also get 7x.
Question there asking: Examine {a},{b},and{c} and select the best answer
Problem:(a) 1 / 5 of 30 (b) 1 / 4 of 20 (c) 1 / 3 of 15
Step by step need help bad worth 35 if you can help me really learn it I'm in the 8th grade
Answer:
a 6
b 5
c 5
Step-by-step explanation:
of means multiply
(a) 1 / 5 of 30
1/5 * 30
30/5 = 6
(b) 1 / 4 of 20
1/4 * 20
5
(c) 1 / 3 of 15
1/3 * 15
5
The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 12 days. A distribution of values is normal with a mean of 262 and a standard deviation of 12. 4 What percentage of pregnancies last fewer than 269 days? P(X< 269 days) % Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained. using exact z-scores or z-scores rounded to 3 decimal places are accented
The probability corresponding to the z-score of 0.5833The probability that X is less than 269 is 0.7202 approximatelyTherefore, P(X < 269) = 0.7202The percentage is 72.02% (rounded to 1 decimal place).Hence, the required percentage is 72.02%.
The mean of the distribution, μ = 262 days.Standard deviation, σ = 12 daysWe need to find the probability that the pregnancies last fewer than 269 daysi.e., P(X < 269)The formula to find the z-score of X is given by:z = (X - μ) / σWhere X is the value of the random variable from the distributionμ is the mean of the distributionσ is the standard deviation of the distributionTherefore,z = (269 - 262) / 12 = 0.5833Using standard normal distribution table, we can find the probability corresponding to the z-score of 0.5833The probability that X is less than 269 is 0.7202 approximatelyTherefore, P(X < 269) = 0.7202The percentage is 72.02% (rounded to 1 decimal place).Hence, the required percentage is 72.02%.
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help pls 1/3(3m+6)-2(2m+6)
1/3(3m+6)-2(3m+6)
Answer:
-5m - 10
Step-by-step explanation:
1/3(3m+6)-2(3m+6)
= 1m + 2 - 6m - 12
= -5m - 10
So, the answer is -5m - 10
Answer:
-5(m+2)
Step-by-step explanation:
1/3(3m+6)-2(3m+6)
combine like terms
-5/3(3m+6)
Distribute
-5m - 10
common factor
-5(m+2)
answer the question picture is there
Answer:
Step-by-step explanation:
1. 500
2. 10
3. 25000
Consider the following.f ′(x) = 4x(x2 − 1) − 2x2 · 2x (x2 − 1)2Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.)Identify any discontinuities. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)x =
The given function is given by:
f′(x) = 4x(x2 − 1) − 2x2 · 2x (x2 − 1)2.
To find the interval(s) on which the function is continuous, we need to first check for the existence of the function f(x). The function is continuous over its domain if and only if f(x) exists over the entire domain. Thus, we need to check if the denominator is zero or not.
If the denominator is zero, the function is not defined at that point and hence there is a discontinuity at that point. If the denominator is not zero, then the function is defined at that point and thus the function is continuous at that point.
Here, the denominator is (x2 − 1)2. The denominator is never zero for any value of x. Hence, the function is defined and continuous for all real values of x.
Thus, the function is continuous for all real values of x. The function f(x) is continuous for all real values of x. There are no discontinuities in the given function. Hence, the answer is DNE.
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The width of a rectangle is half its length. The perimeter is 36 inches. What are the dimensions of the rectangle?
Answer:
length=18cm,and width=9cm
Step-by-step explanation:
Let x = length
Then width = (1/2)x
Perimeter = 2(length) + 2(width) = 54
length + width = 27
So, x + (1/2)x = 27
(3/2)x = 27
x = 27(2/3) = 18 (1/2)x = 9
Answer: length = 18 cm and width = 9 cm
Answer:
Width:6 inches, Length:12 inches, Area(if needed):72 sqaure inches
Step-by-step explanation:
Put the width as w, we can write evering in terms of w.
Width: wLength: 2wPerimeter: w+2w+w+2w=6x=36, so w=36/6=6Area: w•2w=2(w^2)Now:
Width: 6 inchesLength: 2(6)=12 inchesPerimter: 36 inchesArea: 2(6^2)=2(36)=72 square inchesHow do I solve both equations ?
Answer:
a) 56.25 mph
b) $1.59/lb
Step-by-step explanation:
The units of the "unit rate" tell you the math operation you need to perform.
a)Miles per hour (mi/h) is found by dividing miles by hours.
(450 mi)/(8 h) = (450/8) mi/h = 56.25 mi/h
b)
Dollars per pound ($/pound) is found by dividing dollars by pounds.
($7.95)/(5 pounds) = (7.95/5) $/pound = 1.59 $/pound
__
Additional comment
In the context of unit rates, "per" means "divided by."
What makes a rate a "unit rate" is the "1 unit" in the denominator. For miles per hour, the denominator is 1 hour. For dollars per pound, the denominator is 1 pound.
Find the range for the possible measure of the third side of a triangle given two sides?
2.7 cm, 4.2 cm
range:
< n <
On solving the provided question, we can say that the range is between the two sides' difference and their sum.
What is range?The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.
T is length of the third side
\(18-13 < T < 18+13\)
\(5 yards < third side < 31 yards\)
The range is between the two sides' difference and their sum.
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Simplify the expression.
(6/7c)^2
A.) 12/14c^2
B.) 42c^2
C.) 36/7c D.) 36/49c^2
we have (6/7c)^2 = (6^2)/(7c)^2 = 36/49c^2
so the answer is D
ok done. Thank to me :>