The distance between point Q and point P is 6 1/2 units .Which number could represent point Q?please help me
Answers
Answer:
\(Q =2\frac{1}{2}\) or \(Q =- 10\frac{1}{2}\)
Step-by-step explanation:
Given
\(P = -4\) --- missing from the question
\(Distance = 6\frac{1}{2}\)
Required
Determine the possible value of Q
The distance can be calculated using absolute function as:
\(Distance = |Q - P|\)
Substitute values for distance and P
\(6\frac{1}{2} = |Q - (-4)|\)
\(6\frac{1}{2} = |Q +4|\)
The absolute function can then be split as:
\(6\frac{1}{2} = Q + 4\) or \(-6\frac{1}{2} = Q + 4\)
Make Q the subject in both cases:
\(Q = 6\frac{1}{2} - 4\) or \(Q = -4 - 6\frac{1}{2}\)
\(Q =2\frac{1}{2}\) or \(Q =- 10\frac{1}{2}\)
Related Questions
On Monday, Takira counted 75 splatters of bird droppings on her car. On Tuesday afternoon, she counted 21 more. What is the percent change in the number of bird droppings on Takira's car from Monday to Tuesday?
Answers
Answer:
28%
Step-by-step explanation:
percent change in the number of bird droppings = increase in splatters / splatters counted on Monday x 100
\(\frac{21}{75}\) x 100 = 28%
Three calculators cost as much as seven mugs. Each calculator costs $12 more than each mug. What is the cost of one mug?
Answers
Answer:
3.60
Step-by-step explanation:
3c=7m
c=m+12 solve for m
To obtain the value of one unknown quantity linear equation in one variable can be formed. The cost of one mug is given as $21.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
Given that,
The cost of 3 calculators = The cost of 7 mugs.
The cost of each calculator is $12 more than each mug.
Suppose, cost of each mug be x.
And, cost of each calculator is x + 12.
As per the question the following equation can be made,
7 ×(x + 12) = 3x
=> 7x - 3x = 84
=> 4x = 84
=> x = 21.
Hence, the cost for one mug is $21.
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In the right triangle shown, the third side can be represented by the expression ) es A) z+y B) Z- y o z² + y² D) V2² - y²
HELP ASAP
Answers
Regression is typically carried out to develop a mathematical model of the process.
Answers
True. Regression is commonly used to develop a mathematical model of a process.
Regression analysis is a statistical method used to model the relationship between a dependent variable and one or more independent variables. The goal is to develop a mathematical equation that describes the relationship between the variables and can be used for prediction or inference.
By fitting a regression model to a dataset, we estimate the coefficients of the model that quantitatively describe how the independent variables affect the dependent variable. This process involves finding the best-fitting line or curve that minimizes the differences between the observed data points and the predicted values from the model.
The resulting mathematical model can then be used to make predictions, understand the relationship between variables, identify significant predictors, and assess the statistical significance of the model.
Therefore, regression analysis is indeed carried out to develop a mathematical model of the process under investigation, making the statement true.
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If a system of linear equations has one solution, what does this mean about two lines?
Select all that apply.
a. Intersecting lines
b. No solution
c. One solution
d. Infinitely Many Solutions
e. (x,y)
Answers
b÷7−12=8
Solve the equation
Answers
Answer:
\( \boxed{b = 140} \)
Step-by-step explanation:
\( = > \frac{b}{7} - 12 = 8 \\ \\ = > \frac{b}{7} = 8 + 12 \\ \\ = > \frac{b}{7} = 20 \\ \\ = > b = 20 \times 7 \\ \\ = > b = 140\)
I NEED HELP IMMEDIATELY!!!! PLS HELPP. PLS DO NOT GUESS EITHER BUT PLS CMON AND HELP ME PLSSS
Answers
Answer:
The Clubhouse and the Swimming Pool
Step-by-step explanation:
If you look closely the points are on the buildings. The X axis is left to right.
The Clubhouses coordinate is (12,12) but the Swimming Pools coordinates is (8,12). They have the same X-Axis
Answer:
club house and swimming pool
Step-by-step explanation:
club house and swimming pool both have an x-coordinate of 12.
What’s the domain of this relation (-1,5) , (0,4), ( 1,2) , (3,-2)
Answers
Answer:
{-1, 0, 1, 3}
Step-by-step explanation:
A relation is a set of ordered pairs of numbers. The domain of a relation is the set of all the first elements (or x-values) in the ordered pairs. In this case, the relation is (-1,5) , (0,4), ( 1,2) , (3,-2), so the domain is the set of all the x-values in these ordered pairs, which is the set {-1, 0, 1, 3}. Therefore, the domain of the relation is {-1, 0, 1, 3}.
find the sum of 7n + 3
Answers
Answer: 7n + 3 = 10n
Step-by-step explanation: When you add a number with a variable just add the numbers and then add the variable at the end of the number example: 8m
Solve for v.
3v = 42
Simplify your answer as much as possible.
Answers
Answer:
V=14
Step-by-step explanation:
3v=42 divide both sides by 3. getting v=14
In this diagram, lines AB and CD are parallel. D B Angle ABC measures 35 degrees and angle BAC measures 115 degrees. a. What is m ZACD b. What is mZDCB c. What is mZACB
Answers
|CD| is parallel to |AB|
\(\angle ACD=\angle ACB+\angle DCB\)\(\begin{gathered} ACBisatriangle.Thesumofanglesinatriangleis180^o. \\ \angle ACB+\angle ABC+\angle BAC=180^o \\ \angle ACB=180^o-35^o-115^o \\ \angle ACB=30^o \end{gathered}\)Also;
\(\begin{gathered} S\text{ ince CD and AB are parallel;} \\ \angle DCB=\angle ABC\text{ (because alternate angles are equal)} \\ \angle DCB=35^o \end{gathered}\)\(\begin{gathered} \angle ACD=\angle ACB+\angle DCB \\ \angle ACD=30^o+35^o \\ \angle ACD=65^o \end{gathered}\)ANSWERS:
(a) The measured angle ACD is 65degrees
(b) The measured angle DCB is 35degrees
(c) The measured angle ACB is 30 degrees
Question 20 Linda purchased a prepaid phone card for $ 20 . Long distance calls cost 21 cents a minute using this card. Linda used her card only once to make a long distance call. If the remaining credit on her card is $ 10.76 , how many minutes did her call last?
Answers
Answer: 44 minutes
Step-by-step explanation:
Calls = 21 cents per minute
Remaining credit after long distance call= $10.76
Total credit used =$20- $10.76
= $9.24
Minutes her call lasted = $ 9.24
$0.21
= 44 minutes.
assume the average speed on the 405 freeway is 50 mph and is normally distributed with a standard deviation of 12 mph. what is the probability that someone is driving slower than 35 mph?
Answers
The given information indicates that the average speed on the 405 freeway follows a normal distribution with a mean of 50 mph and a standard deviation of 12 mph. To find the probability that someone is driving slower than 35 mph, we need to calculate the deviation from the mean using the z-score formula:
z = (x - μ) / σ
where x is the value we are interested in (35 mph), μ is the mean (50 mph), and σ is the standard deviation (12 mph).
z = (35 - 50) / 12
z = -1.25
Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than -1.25. The probability is approximately 0.1056 or 10.56%.
Therefore, the probability that someone is driving slower than 35 mph on the 405 freeway is about 10.56%.
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why can’t you use the product of powers rule to simplify this expression? explain. 34 · 28
Answers
You cannot use the product of powers rule to simplify 34 · 28.
The product of powers rule states that when you multiply two powers with the same base, you can add the exponents. For example, 23 · 25 = 28 because 2+3=5 and 5+3=8.
In the expression 34 · 28, the bases are different. 34 means 3 raised to the power of 4, and 28 means 2 raised to the power of 8. Since the bases are not the same, you cannot simplify the expression using the product of powers rule.
Hence, The product of powers rule only applies when the bases of the powers are the same, so it cannot be used to simplify expressions with different bases, such as 34 · 28.
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1. e(x) = 3 x -3, Find e(-6)
Answers
Answer:
e(-6) = -21
Step-by-step explanation:
Plug -6 into the equation and simplify.
3(-6) - 3
-18 - 3
-21
The Senior class is reserving a banquet hall for their prom. They are required to pay a
$500 reservation fee in addition to $30 for each person who attends the prom. They
have estimated that the prom will cost a total of $4100. How many people do they
expect to attend?
Answers
Answer: 120 people
Step-by-step explanation:
First take $4100 - $500 = $3600
then you divide
3600/30 = 120
which equals
120 People are estimated to attend
please help me solve if 1 gallon of water is added to 6 quarts of a mixture of alcohol and water that is 50% alcohol, what percent alcohol is the resulting mixture?
Answers
Answer:
I got 30
Step-by-step explanation:
6 quarts that means 3 is water 3 is alcohol
When you add in a gallon you get 4 more quarts of water right?
That would be 7 quarts of water and 3 quarts of alcohol
7+3=10 3/10 to x/100 x= 30%hope this is correct and hope it helps :)
A right triangle has a leg length of 24 yards and a hypotenuse of 45 yards. Find the length of the other leg
Answers
The length of the other leg is 38 yards
What is Right Triangle?Right Triangle is a triangle in which one of the interior angles measures 90 degrees. It is also a figure where one of the three angles measures 90° and the other two angles are acute that sums to 90°.
Using Pythagoras theorem to the Right Triangle,
C^2 = A^2 + B^2
Where C = Hypotenuse = 45 yards
A = One of the leg = 24 yards
To get the value of B,
C^2 = A^2 + B^2
B^2 = C^2 - A^2
B^2 = (45^2) - (24^2)
B^2 = 2025 - 576
B^2 = 1449
B = √1449
B = 38 yards
Therefore, the length of other leg is 38 yards
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Find the installment price of a recliner bought on the installment plan with a down payment of \( \$ 90 \) and six payments of \( \$ 107.72 \). The installment price is \( \$ \)
Answers
The installment price of the recliner bought on the installment plan with a down payment of $ 90 and six payments of $ 107.72 is $736.32.
The installment price of the recliner, we need to calculate the total amount paid over the installment plan, including the down payment and the six payments.
Down payment: $90
Six payments: $107.72 each
Total amount paid = Down payment + (Number of payments × Payment amount)
Total amount paid = $90 + (6 × $107.72)
Total amount paid = $90 + $646.32
Total amount paid = $736.32
Therefore, the installment price of the recliner is $736.32.
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a consumer group is investigating the number of flights at a certain airline that are overbooked. they conducted a simulation to estimate the probability of overbooked flights in the next 5 flights. the results of 1,000 trials are shown in the following histogram. based on the histogram, what is the probability that at least 4 of the next 5 flights at the airline will be overbooked?
Answers
The probability of at least 4 of the next 5 flights being overbooked is 1.0%.
The probability of an event occurring is determined by analyzing the data from a sample.
A histogram is often used to visualize the distribution of data, which can be used to calculate the probability of an event occurring.
By examining the histogram, you can determine the probability of a certain event occurring based on the height of the corresponding bar in the graph.
From the histogram, it is clear that the probability of at least 4 of the next 5 flights being overbooked is 1.0%.
This is because there is only one bar in the histogram that corresponds to the probability of 4 out of 5 flights being overbooked.
This bar has a height of 1.0%, which indicates a 1.0% probability of at least 4 out of 5 flights being overbooked.
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Given f(x)=7x ^{2} −12x+6, find f ′ (x) using the limit definition of the derivative. f ′ (x)=
Answers
The derivative of the given function f(x) = 7x^2 - 12x + 6 using the limit definition of the derivative is f'(x) = 14x - 12.
The derivative of a function f(x) at a point x is defined as the limit of the difference quotient as the spacing h between x and x+h approaches zero. This limit gives the instantaneous rate of change or the slope of the tangent line to the graph of the function at the point x.
The limit definition of the derivative is given by:
f'(x) = lim(h->0) [f(x+h) - f(x)]/h
To use this formula to find the derivative of the given function f(x) = 7x^2 - 12x + 6, we first substitute the expression for f(x) into the limit definition, giving:
f'(x) = lim(h->0) [7(x+h)^2 - 12(x+h) + 6 - (7x^2 - 12x + 6)]/h
Next, we simplify the expression by expanding the squared term and combining like terms, which gives:
f'(x) = lim(h->0) [14xh + 7h^2 - 12h]/h
We can then cancel out the factor of h in the numerator and denominator, which gives:
f'(x) = lim(h->0) [14x + 7h - 12]
Finally, we take the limit as h approaches 0, which gives the derivative of the function f(x) as:
f'(x) = 14x - 12
This means that the slope of the tangent line to the graph of the function f(x) at any point x is given by the expression 14x - 12.
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Jif peanut butter costs $3.29 for 16 oz. Skippy peanut butter costs $7.69 for 40 oz. Which is the better buy?
Answers
Two opposite angles of a parallelogram are 3x+4 and 5x-2 find measure of all angles of parallelogram
Answers
Answer:
=The opposite angles of a parallelogram are equal
=(3x+4)
=(5x-2)
=-2x=-6
=x=6+2
=x=3=
1st angle=3x+4=13
3rd angle=5x-2=13
=sum of adjacent side of angle is 180°
=Let the adjacent (2nd angle ) be y=
y+13°=180°
=y=180°-13°
=y=167°=
2nd angle=4th angle
=2nd angle=167°
=4th angle=167°
Step-by-step explanation:
This might be confusing, but I hope it helps <3
. A species of frog’s population grows 24% every year. Suppose 100 frogs are released into a pond.How many years will it take for there to be at least 1000 frogs?
Answers
ANSWER
It will take 10.71 years for the frogs to grow from 100 to 1000
STEP-BY-STEP EXPLANATION:
Given information
The initial population of the frogs = 100
Percentage increase = 24%
The final population of the growth = 1000 frogs
time =?
Step 1: Write the general formula for calculating the size of a population
\(P=P_O(1+r)^t\)Where
P = Final population
Po = initial population
r = rate
t = time
Step 2= convert the growth rate from percentage to decimal
\(\begin{gathered} r\text{ = 24 \%} \\ r\text{ = }\frac{24}{100} \\ r\text{ = 0.24} \end{gathered}\)Step 3: Substitute the given data into the above formula and solve for t
\(\begin{gathered} 1000=100(1+0.24)^t \\ \text{Divide both sides by 100} \\ \frac{1000}{100}\text{ = }\frac{100}{100}(1+0.24)^t \\ 10=(1+0.24)^t \\ 10=(^{}1.24)^t \\ \text{Take the logarithms of both sides} \\ \text{log 10 = t log(1.24)} \\ 1\text{ = t }\times\text{ 0.0934} \\ 1\text{ = 0.0934t} \\ \text{Divide both sides by 0.0934} \\ \frac{1}{0.0934}\text{ = }\frac{\cancel{0.0934}t}{\cancel{0.0934}} \\ t\text{ = 10.71 years} \end{gathered}\)Hence, it will take 10.71 years for the frogs to grow from 100 to 1000
Please answer fast!
This room has scratch marks on the floor. Tyler wants to slide the rug over to cover the scratch marks. What kind of translation should he perform that will conceal the scratches?
A.) Reflection
B.) Rotation
C.) Translation
D.) Dilation
Answers
Answer:
Option C
Step-by-step explanation:
To cover the scratch mark Tyler will move the rug so that it covers the mark.
Area of the rug = Length × Width
= (2 units) × (3 units)
= 6 square units
Area of the block in which the scratch mark is given
= 2 × 3
= 6 square units
Option A).
Reflection
If we reflect the rug across x or y axis image will be in other quadrants.
Therefore, Reflection is not the answer.
Option B).
Rotation
Rotation of the rug will move it to other quadrants or the size of the image will not cover the scratch mark.
Therefore, Rotation is not the answer.
Option C).
Translation
By shifting the rug to the required place we can cover the scratch mark.
Therefore, Translation will be the answer.
Option D).
Dilation
Dilation of the rug will differ the size.
Therefore, Dilation will not be the answer.
Option C will be the answer.
an inverse relationship in which one factor increases as another factor decreases represents?
Answers
A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).
4.9 as a imporper fraction
Answers
Answer:
4/9
Step-by-step explanation:
Answer:
4 9/10 or 49/10
Step-by-step explanation:
49 over 10
49
10
=4 and 9 over 104
9
10
=4.9
BRAINLIEST ANSWER!! please please help this is due today!!
BTW THERES 4 PARTS!!!
Answers
Step-by-step explanation:
Ans 3. C and D are not similar
Ans 4.less than 3
Ans 5. 3 or three
Ans 7.larger than 3
Ans 8. 3 or three
plz look these answers these all right don't see answers in the comment because those are confusing
MICE The average length of the head and body of a western harvest mouse is 2.9 inches. The average length of the tail is 2.8 inches. First, estimate the total length of the mouse. Then find the actual total length.
Answers
Therefore, based on the given information, we can estimate that the total length of a western harvest mouse is approximately 5.7 inches.
The given information states that the average length of the head and body of a western harvest mouse is 2.9 inches, while the average length of the tail is 2.8 inches. To estimate the total length of the mouse, we can add these two measurements together:
Estimated total length = Average length of head and body + Average length of tail
Estimated total length = 2.9 inches + 2.8 inches
Estimated total length = 5.7 inches
Therefore, based on the given information, we can estimate that the total length of a western harvest mouse is approximately 5.7 inches.
It's important to note that this estimate represents the average length and may not accurately reflect the actual total length of each individual mouse. There may be variations in the lengths of different mice within the population. Factors such as genetics, age, and environment can influence the actual total length of a mouse. Therefore, the estimate serves as a general approximation and the actual total length of each mouse may differ slightly from the estimate of 5.7 inches.
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i need someones help please asap
Answers
Answer:
y = - \(\frac{8}{7}\) x + \(\frac{8}{7}\)
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 = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 6, 8 ) and (x₂, y₂ ) = (1, 0 )
m = \(\frac{0-8}{1-(-6)}\) = \(\frac{-8}{1+6}\) = - \(\frac{8}{7}\) , then
y = - \(\frac{8}{7}\) x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation.
using (1, 0 ), that is x = 1, y = 0
0 = - \(\frac{8}{7}\) + c ⇒ c = 0 + \(\frac{8}{7}\) = \(\frac{8}{7}\) , so
y = - \(\frac{8}{7}\) x + \(\frac{8}{7}\) ← equation of line