we get that the point P can either lie at - 3 or at 23.
We are given the two points:
P and Q
We are also given the distance between the two points P and Q is:
PQ = 10 units.
Now we have that Q lies at 13.
We have to find the location of P.
We know that
Distance = P ± Q
10 = P ± 13
so, we get that
10 = P + 13 or 10 = P - 13
P = 10 - 13 or P = 13 + 10
P = -3 or P = 23
Therefore, we get that the point P can either lie at - 3 or at 23.
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solve w^4 - 18w + 81 = 0
Answer:
No solution
Step-by-step explanation:
You can solve this in a few ways. One way is to graph the equation, and the solution is the x-value of the point of intersection. Another way would be to factor, which is more difficult to complete with a square bigger than 2.
By graphing, you can see a parabola that never touches that x-axis, which means no solution.
HELP ILL GIVE YOU 20 POINTS
determine if the numerical value describes a population parameter or a sample statistic. the average price of a house in the new subdivision is $257,000.
The numerical value in this sentence, "the average price of a house in the new subdivision is $257,000" describes a Population Parameter.
What is a Population Parameter?A population parameter is a figure that describes a fact about a whole population. In this sentence, we can see that the figure quoted is representative of an entire population. A sample statistic, on the other hand, describes something about a part of a population.
So, for the statement above, we can see that the average price is representative of all the houses in the new subdivision. Thus, the figure is a population parameter.
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The prediction method _________ is the method used to estimate a point on a line when the point does not lie between the given points.
The prediction method Linear Extrapolation is the method used to estimate a point on a line when the point does not lie between the given points.
What is linear extrapolation?Using the equation of a line to obtain a new data point based on an existing collection of data points is known as linear interpolation in mathematics.
Now,
Since it employs a linear model to forecast the necessary point that does not reside between the given locations, this prediction technique is known as linear extrapolation.
Hence, The prediction method Linear Extrapolation is the method used to estimate a point on a line when the point does not lie between the given points.
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a sports writer studies the batting average, walk to strikeout ratio, and home runs hit for a certain baseball player for five weeks for an article.
Batting common is the the wide variety of runs scored via way of means of the batsman withinside the wide variety of fits performed via way of means of him in that supply weeks Walk to strike out is the wide variety of wickets taken via way of means of the sports activities character withinside the wide variety of fits performed via way of means of him in that week Home runs are the house run hit via way of means of that participant in that 5 weeks throughout which the sports activities creator cited these types of happenings
If participant A's batting common is .312 and he had 596 at-bats , what number of hits did he get?
The number of hits A got is 186 hits.
A player's batting average is calculated by dividing the number of hits by the number of at-bats.
Player A batting average = 0.312
Number of at-bats A did = 596
We have to find the number of hits A got.
0.312 = Number of hits / 596
Number of hits = 0.312 x 596
= 185.952 hits.
Rounding to a whole number we get,
= 186 hits
Thus, the number of hits A got is 186 hits.
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Cherries cost 4 dollars per pound.my mother r lb of cherries and my father bought 2 lb of cherries.how much more money did my mother spent on cherries than my father
Mother spent (4r - 8) dollars more on cherries than did the father.
An expression using numbers and related operations is called a numerical expression.
According to the question, a pound of cherries costs $4.
Mom purchased r pounds.
The price of the cherry is calculated as follows: 4r = weight x $/lb.
Father purchased 2 pounds, thus the price of the cherries is 4 (2), or $8.
We remove the smaller value from the higher value, which is 4r - 8, where r must be more than two. Given that the mother spent more money on cherries than the father, the mother's cost of cherries is a greater value.
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Evaluate if A = 2, B = 7, and C = 6, 6C - B
Answer:
29
Step-by-step explanation:
6C - B substitute in 6 for C and 7 for B
6(6) - 7
36 - 7
29
What is the relationship between the numerator and the denominator in a fraction?
Answer: GoodMorning: )✨Ok so We should Know that The top number in a fraction is always considered a numerator, and that It shows the number of parts we have. The bottom number in a fraction is considered a denominator. It shows the total number of parts into which anything is divided. For example, in the fraction 8/7, 8 is the numerator and 7 is the denominator.
Step-by-step explanation: Like In this fraction 7/3, 7 is the numerator and 3 is the denominator. In the fraction 9/7, 9 is the numerator and 7 is the denominator.The value placed above the horizontal line in a fraction is called a numerator. It signifies the number of parts taken out of the whole. The numeric value below the vinculum of a fraction is called the denominator. It represents the total number of equal parts as a whole. Hope this helps: )
Have A Nice Day: )
Answer:
A numerator is a value on the upper character set of a rational or fraction value and a denominator is the downer
[tex]{ \rm{fraction = \frac{numerator}{denominator} }} \\ [/tex]
For example;
Three quarters
[tex]{ \rm{ = \frac{3}{4} }} \\ [/tex]
3 is numerator and 4 is denominator
A number cube with the numbers 1 through 6 is rolled. The probability of rolling an odd or even number is 1. What is the likelihood of rolling an odd or even number?
1/2 is the likelihood of rolling an odd or even number in probability.
What is probability and how is it calculated?
According to the probability formula, the probability of an event occurring, or P(E), is equal to the proportion of positive outcomes to all outcomes. P(E) is defined mathematically as favorable outcomes divided by total outcomes.A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.The event "rolling an odd number" contains three outcomes. There are 6 equally likely outcomes in the sample space. Divide to find the probability of the event.
P(E) = 3/9 = 1/2
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45 strikeouts in 36 innings or 96 strikeouts in 80 innings. Which is greater?
Answer:
Step-by-step explanation:
96 strikeouts in 80 innings
Please help with problem 2
Answer: 4==> D
Step-by-step explanation:
b=1
|2b-5|+1=
|2(1)-5|+1=
|2-5|+1=
|-3|+1= ==> Absolute value equations are always positive: |-x|=x, not -x.
3+1=4==> D
Answer:
Step-by-step explanation:
D 4
Clyde and mason each leave a rest area on the flordia turnpike. Clyde travels north and mason travels south. After 4 hr, Clyde has gone 248 mi and mason, who ran into heavy traffic, traveled only 184 mi. How far apart are they
Clyde and Mason are 432 mi apart from each other in distance.
We are given that:
Clyde and mason can each leave a rest area on the Florida turnpike.
Clyde travels north whereas Mason travels south.
After 4 hr., we get that Clyde has gone 248 mi and Mason, due to the heavy traffic he got , traveled only 184 mi.
We need to tell how far are they from each other.
We will do this by addition.
Distance = 248 mi + 184 mi
Distance = 432 mi.
Therefore, we get that, Clyde and Mason are 432 mi apart from each other in distance.
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5/8 - (1/4) squared equals
Katy invests a total of $10,500 in two accounts paying 11% and 5% simple interest, respectively. How much was invested in each account if, after one year, the total interest was $945.00.
A) Enter an equation that uses the information as it is given that can be used to solve this problem. Use x as your variable to represent the amount of money invested in the account paying 11% simple interest.
Equation:___________
B) The answers are:
$____ was invested at 11% and
$____was invested at 5%
Answer:
Equation: 0.11x + 0.05(10500 - x) = 945
$7000 was invested at 11% and
$3,500 was invested at 5%
Step-by-step explanation:
There are two equations needed
Let x = amount of money invested at 11%
11% = 11/100 = 0.11 in decimal
Interest at 11% for 1 year = 0.11x
Amount of money invested at 5% interest. 5% = 0.05
= 10500 - amount invested at 11%= 10500 - x
Interest from this amount after 1 year = 0.05(10500 - x)
Total of these two = 945
So 0.11x + 0.05(10500 - x) = 945
The equation based on the information as it is given:
0.11x + 0.05(10500 - x) = 945
We know the total interest obtained was $945 so we have the equation
0.11x + 0.05(10500- 5x) = 945
Simplify
0.11x + (525 - 0.05x) = 945
==>0.11x + 525 - 0.05x = 945
==> 0.06x = 945 - 525
==> 0.06x = 420
==> x = 420/0/06 = $7000
Amount invested at 11% interest is $7,000
Amount invested at 5% interest = 10,500 - 7,000 = $3,500
Let us suppose Christmas lights have a total of 120 bulbs in a set, each with a 99.9% reliability rating. What is the probability that a set all works?
The probability that a set of all bulbs work is 0.88.
What is called as the total probability?The total probability rule (also known as the Law of Total Probability) divides probability calculations into discrete steps.
It's used to calculate the probability of an event, A, once you don't know enough about A's probabilities to do so directly. Instead, you use a related event, B, to calculate the probability of A.Two events are considered independent if a occurrence of one does not affect the likelihood of occurrence of the other.Now, as per the question;
The total number of bulbs be 120 and each bulb is working as independent event.
The reliability of each bulb is 99.9% = 0.999
Let 'p' the probability the bulb will work.
The probability that all will work = p¹²⁰
The probability that all will work = (0.999)¹²⁰ = 0.886
Thus, the probability that all bulb will work is 88.6%.
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is 22.5 a interger number?
f(x) = 3x²-x+ 5, 2f(-3) - f(4) =
Answer:
21
Step-by-step explanation:
You want the value of the expression 2f(-3)-f(4), given that f(x) = 3x²-x+ 5.
Function evaluationA function is evaluated by putting the argument where the variable is, and simplifying the result. Polynomials are often easier to evaluate if they are written in Horner form.
f(x) = 3x² -x +5
f(x) = (3x -1)x +5
The values we need are ...
f(-3) = (3(-3) -1)(-3) +5 = (-10)(-3) +5 = 35
f(4) = (3(4) -1)(4) +5 = (11)(4) +5 = 49
Then the expression of interest has the value ...
2f(-3) -f(4) = 2(35) -49 = 70 -49
2f(-3) -f(4) = 21
HELP GUYS! SHOW WORK!!!!!!!!!!!!!!!!! 20 points
The value of x from the given line segment is 5
Addition postulateA line is defined as the shortest distance between two points. From the given line segment, the addition below is true;
NM + ML = NL
Given
NM = 9
ML = 2x-7
NL = x + 7
Substitute to have:
9 + 2x - 7 = x + 7
2x + 2 = x + 7
2x-x = 7 - 2
x = 5
Hence the value of x from the given line segment is 5
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Given 24.8 × 3.5, find the product. 8.68 72.4 75.64 86.8
The product of the given expression 24.8 × 3.5 is 86.8. option D
Product of numbersProduct refers to any operation or a result thereof which generalises multiplication of numbers, like the multiplicative operation in a ring, product of types or a categorical product.
This is also a quantity obtained by multiplication of two or more numbers.
The Multiplication symbol is represented by ( × )
For instance,
product of 2 and 3 is 6.The product of 2, 3, and 4 is 24.24.8 × 3.5
= 86.8
Therefore, the product of the given expression 24.8 × 3.5 is 86.8.
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Calculate the total surface area of a cube of the following length of side a) 5cm b) 8cm c) 10ft d) 12m
Answer:
the side of a cube is 5 cm.
Total surface area of cube =6× (side)
2
=6×5×5
=150
∴ The total surface area of cube is 150 cm
2
Step-by-step explanation:
Sorry I I don't have much time to answer the rest
if q is the point (x, 3/(2 − x)), use your calculator to find the slope mpq of the secant line pq (correct to six decimal places) for the following values of x.
According to the given data the slope mpq of the secant line pq for the following values of x are :
m for x3.333333 for 2.93.030303 for 2.993.003003 for 2.9993.00030003 for 2.99992.727272 for 3.12.90297 for 3.012.997002 for 3.0012.999700 for 3.0001What is the definition of the slope inside a graph?The slope is defined as the proportion of both the vertical difference of two points, known as the rise, towards the horizontal change between those same two points, known as the run.
How do you calculate slope?Calculate the values of two line points. Determine the difference in y-coordinates between these two locations (rise). Calculate the x-coordinate distinction between these two locations (run). Divide the x-coordinate variation (rise/run or slope) by the y-coordinate difference.
According to the given data:Slope(m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
so,
m for x
3.333333 for 2.9
3.030303 for 2.99
3.003003 for 2.999
3.00030003 for 2.9999
2.727272 for 3.1
2.90297 for 3.01
2.997002 for 3.001
2.999700 for 3.0001
this shows that the slope m for the required x.
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I understand that the question you are looking for is:
The point P(3, −3) lies on the curve y = 3/(2 − x).
If Q is the point (x, 3/(2 − x)), use your calculator to find the slope m PQ of the secant line PQ (correct to six decimal places) for the following values of x.
i. 2.9 =
ii 2.99 =
iii. 2.999 =
iv.2.9999 =
v. 731
vi. 3.01
vii. 3.001
viii. 3.0001
a. Using the results of part (a), guess the value of the slope m of the tangent line to the curve at P(3,-3)
b. Using the slope from part (b), find an equation of the tangent line to the curve at P(3,- 3).
Carla wrote this number:815,247 travis wrote this number: 638.571 the digit 8 in carlas number represents how many times what the digit 8 represents in travis number?
The digit 8 in Carla’s number represents 10 times of what the digit 8 represents in Travis’ number.
The number written by Carla = 814,247
The number written by Travis = 683,571
The place value of digits starting from left is ones, ten's, hundreds, thousands, ten thousand, hundred thousand and so on.
As per this sequence of values, we can see that digit 8 in Carla's number is at hundred thousand place value. Also, digit 8 in Travis' number is at ten thousand place value. So, representing these place value in numeral form and finding the number of times one is greater than other.
Digit 8 in Carla's number: 100,000
Digit 8 in Travis' number: 10,000
Finding the answer -
Value = 100,000 ÷ 10,000
Cancelling common zeroes from numerator and denominator
Value = 10
Hence, digit 8 in Carla’s number represents 10 times of what the digit 8 represents in Travis’ number.
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The correct question is -
Carla wrote this number: 814,247
Travis wrote this number: 683, 571
The digit 8 in Carla’s number represents how many times what the digit 8 represents in Travis’ number?
A. 10
B. 100
C. 1000
D. 1/10
a certain european automobile has a gas mileage of 19 km/l. what is the gas mileeage in miles per gallon
The gas mileeage in miles per gallon is 44.69 miles per gallon
How to convert 19 Km/L to miles per litresWe'll begin by converting 19 Km/L to miles per litres. This can be obtained as follow:
Gas mileage (in Km/L) = 19 Km/LGas mileage (in mile per litres) =?1 Km/L = 0.621371 mile per litre
Therefore,
19 Km/L = (19 Km/L × 0.621371 mile per litre) / 1 Km/L
19 Km/L = 11.806 miles per lire
How to convert 11.806 miles per litre to miles per gallonWe can convert 11.806 miles per litre to miles per gallon as follow:
1 mile per litre = 3.78541178 miles per gallon
Therefore,
11.806 miles per litre = (11.806 miles per litre × 3.78541178 miles per gallon) / 1 mile per litre
11.806 miles per litre = 44.69 miles per gallon
Thus, the gas mileage is 44.69 miles per gallon
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QUICK PLS I NEED HELP
Answer:
1/3 is a repeating decimal. 0.33333....
7/12 is a repeating decimal 0.5834....
1/5 is a terminating decimal 0.5
5/8 is a terminating decimal 0.625
2/9 is a repeating decimal 0.2222......
Step-by-step explanation:
Hope it helps! =D
Answer:
1/3 is a repeating decimal
7/12 is a repeating decimal
1/5 is a terminating decimal
5/8 is a terminating decimal
2/9 is a repeating decimal
For a real number a, a + 0 = a is that true?
For a real number a, a + 0 = a: TRUE
What are real numbers?In mathematics, a real number is a quantity that can be expressed as an infinite decimal expansion. In contrast to the natural numbers 1, 2, 3,..., which are derived from counting, real numbers are used in measurements of continuously varying quantities such as size and time.For a real number a, a + 0 = a:
This is due to the identity property for addition, which states that zero added to any number equals the number itself. So, in this case, the number is, and it is true that: a + 0 = aTherefore, the statement "for a real number a, a + 0 = a" is TRUE.
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A carton of apple juice displays the nutritional information shown below.
How many grams of sugar are there in a 200 ml glass of juice?
< Back to task
Bookwork
I
Apple juice
250 ml contains
Carbohydrate
Sugar
Protein
1
29.5 g
25.5 g
| 0.3 g
Watch video
Answer >
Answer:
Step-by-step explanation:
200/250 =0.8
25.5x0.8 =20.4
answer=20.4
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Choose the word noun, adjective, or verb that correctly answers the question.
What kind of words are crying, mending, and envying?
Answer:
crying -adjective. mending -noun. envying -verb.
Step-by-step explanation:
since an adjective is a word naming an attribute of a noun, the word cry is a noun and so the action being carried out "crying" is an adjective.
a noun is a word used in identifying a person, place or thing. and mending is a... you get the idea?
Solve for x in the diagram below.
Answer: x=6
Step-by-step explanation: (x+54)+5x=90 -> 6x+54=90 -> 6x=36 -> x=6
you know it equals 90 because it's on a 180 and there's a right angle.
simplify the equation to 6x+54=90, subtract 54 from 90, and divide by 6 to isolate x.
Solve for X. Help please
[tex]4x - 29 = 13 + 6 + 2x - 18 \\ 4x - 2x = 13 + 6 - 18 + 29 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15[/tex]
Answer:
Step-by-step explanation:
13 + 6 + 2x - 18 = 4x - 29
2x + 1 = 4x - 29
1 = 2x - 29
30 = 2x
15 = x
terri, aaron, and jamal all walked along straight paths. terri walked 3.95 km north in 48 min. aaron walked 2.65 km west in 31 min. jamal walked 6.50 km south in 81 min.
The option that correctly ranks the three boys in order from lowest to highest average speed is:
Jamal, Terri, AaronHow is the Average speed calculated?The average speed calculated is obtained by dividing the total distance covered by the total time taken. That said, we will obtain the average speeds for each of the boys as follows:
Terri = 3.95 km/48 min
= 0.082 km/min
Aaron = 2.65 km/31 min
= 0.085 km/min
Jamal = 6.50 km/81 min
= 0.080 km/min
When the results are obtained from lovwest to highest we will have:
0.080, 0.082, 0.085 which represent the figures for Jamal, Terri, Aaron.
Complete Question:
Terri, Aaron, and Jamal all walked along straight paths. Terri walked 3.95 km north in 48 min. Aaron walked 2.65 km west in 31 min. Jamal walked 6.50 km south in 81 min. Which of the following correctly ranks the three boys in order from lowest to highest average speed?
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