Answer:
Step-by-step explanation:
hello :
x²-3x-10=0 means : (x-5)(x+2)=0
x-5=0 or x+2=0
conclusion two solutions : 5 and -2
The solutions to the quadratic equation x² - 3x - 10 = 0 are x = 5 and x = -2.
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
x² - 3x - 10 = 0
To solve the quadratic equation x² - 3x - 10 = 0 by factoring, we need to find two binomials whose product equals the quadratic equation.
x² - 3x - 10 = 0
Factor the expression x² - 3x - 10 using the AC method:
Consider a pair of integers whose product is -10 and whose sum is -3.
We use -5 and 2:
Hence:
Write the factored form using these integers:
( x - 5 )( x + 2 ) = 0
Equate each factor to zero and solve for x:
( x - 5 ) = 0
x - 5 = 0
x = 5
Also, ( x + 2 ) = 0
x + 2 = 0
x = -2
Therefore, the values of x are 5 and -2.
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[tex]q^{6}[/tex]÷[tex]q^{5}[/tex]
Answer:
q
Step-by-step explanation:
q^6 / q^5
Division by exponents is done by subtraction
a^b / a^c = a^(b-c)
q^6 /q^5 = q^(6-5) = q^1 = q
What is the slope of the
points (4, -2) and (-4, -4)?
Answer:
= 1/4
Step-by-step explanation:
We can find the slope given two points by using the following formula
m = (y2-y1)/(x2-x1)
= (-4 - -2)/(-4 -4)
= (-4+2)/(-4-4)
= -2/-8
= 1/4
Answer:
I think the slope is 1/4
Step-by-step explanation:
if you use the slope equation y1-y2/x1-x2, then you get (-2 - -4)/(4 - -4), which is 2/8, which is 1/4
It has been decided that 100 people need to be surveyed to decide the publics opinion on a school building project. A student suggests that they survey the first 100 people who enter the school. Do you think that this proposed way of sampling is an unbiased way to perform the survey?
Answer:
The proposed way of sampling is a biased way to perform the survey.
Step-by-step explanation:
Convenience sampling is a kind of non-probability sampling method that comprises of the sample being taken from that portion of the population that is near to hand. In this type of sampling method, all items doesn’t have an equivalent chance of being selected, which doesn’t comprises of random collection of items.
Convenience sampling is where we take in items which are easy to reach.
Convenience sampling consists of selection bias, i.e.e the bias involved in the sample due to inappropriate selection procedures.
For example, randomly selecting 4 people sitting near him to guesstimate the mean age of the class is a convenience sampling example. or gathering information on customer satisfaction by interviewing 6 randomly selected customers from a local store is an illustration of convenience sampling.
In this case, the sample suggested by the students consists of surveying the first 100 people who enter the school, about the public opinion on a school building project.
This is an example of convenience sample.
So, there is a selection bias present in the sample.
Thus, the proposed way of sampling is a biased way to perform the survey.
What is the perpendicular height of an oblique prism with a volume of 144 cubic units and an area of 24 square units
Answer:
Height of the oblique prism is 18 units.
Step-by-step explanation:
Volume of an oblique prism = [tex]\frac{1}{3}(\text{Area of the base})(\text{Perpendicular height})[/tex]
Area of the base of this prism = 24 square units
And volume of the prism = 144 cubic units
By substituting these values in the formula,
144 = [tex]\frac{1}{3}(24)(h)[/tex]
h = [tex]\frac{144\times 3}{24}[/tex]
h = [tex]\frac{432}{24}[/tex]
h = 18 units
Therefore, height of the oblique prism is 18 units.
in the right triangle shown, m of angle G equals 45 and HI equals 7 how long is GH
Answer:7 sr 2
Step-by-step explanation:
The length of side GH in an isosceles right triangle where angle G is 45 degrees and side HI is the hypotenuse equal to 7, is 7/√2 or 7√2/2 when rationalized.
You asked about finding the length of side GH in a right triangle where angle G equals 45 degrees, and side HI equals 7. In an isosceles right triangle, the lengths of the two legs are equal. As angle G is 45 degrees, it indicates that triangle GHI is an isosceles right triangle. Using the concept that in such a triangle, the lengths of the legs are equal, since they correspond to the sine and cosine of 45 degrees, which both equal 1/√2.
Given that HI is the hypotenuse and GH is one of the legs, we can use the relationship between the sides: GH = HI * cos(45°) = 7 * 1/√2. Therefore, the length of side GH is 7/√2 or 7√2/2 when rationalized.
Help Please geometry Question
Check all of the boxes that show the quotient and
remainder of the division.
66.32
66.8
62.32
62 8/25
66 8/25
DONE
Answer:
66.32
66 8/25
Step-by-step explanation:
The quotient and remainder of the divisions are as follows: 66.32 divided by 66 has a quotient of 1 and a remainder of 0.32. 66.8 divided by 66 has a quotient of 1 and a remainder of 0.8. 62.32 divided by 66 has a quotient of 0 and a remainder of 62.32.
Explanation:When dividing numbers, the quotient is the result of the division and the remainder is what is left over. Let's check the quotient and remainder for each of the given numbers:
66.32 divided by 66: Quotient = 1, Remainder = 0.3266.8 divided by 66: Quotient = 1, Remainder = 0.862.32 divided by 66: Quotient = 0, Remainder = 62.3262 8/25 divided by 66: Quotient = 0, Remainder = 62 8/2566 8/25 divided by 66: Quotient = 1, Remainder = 8/25Learn more about Division of Numbers here:https://brainly.com/question/2273245
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Easy question, Easy Points
Topic Volume
Focus on question 15
Answer:
738π cm^3
1458π cm^3
Step-by-step explanation:
The volume of a cylinder is V = πr^2 h, where r=radius and h=height.
a) V = πr^2 h
= π6^2 20.5 = 36*20.5π = 738π cm^3
b) V = πr^2 h
For this one, remember that diameter is half of radius. d = 18, r = 9.
V = π9^2 18 = 81*18π = 1458π cm^3
Answer:
738π cm^3
1458π cm^3
Step-by-step explanation:
Two angles form a linear pair. One angle measures 8 less than three times the other. Find the measures of the angles.
Answer:
47⁰, 133⁰
Step-by-step explanation:
Angles : x , 3x - 8
Sum = 180
x + 3x - 8 = 180
4x = 188
x = 47
Angles are 47 , 133
T= M (4+FG) solve for F
Answer:
f= t/mg - 4/g
Step-by-step explanation:
So the final solution for [tex]\( F \)[/tex]is:
[tex]\[ F = \frac{T - 4M}{MG} \][/tex]
To solve the equation [tex]\( T = M(4 + FG) \)[/tex] for [tex]\( F \)[/tex], you would follow these steps:
Step 1: Distribute the [tex]\( M \)[/tex]to terms inside the parentheses:
[tex]\[ T = 4M + MFG \][/tex]
Step 2: Move the term containing [tex]\( F \)[/tex] to one side of the equation:
[tex]\[ MFG = T - 4M \][/tex]
Step 3: Divide both sides by [tex]\( MG \)[/tex] to isolate [tex]\( F \)[/tex]:
[tex]\[ F = \frac{T - 4M}{MG} \][/tex]
Complete correct question:
How do you solve [tex]T=M(4+FG)[/tex] for [tex]F[/tex] ?
Harry's Electronics kept track of how many customers bought a newly released gaming system during the first month it was available. The following box plot was created from this data.
Which of the following properly describes the data?
The correct statement is
The data is skewed right.
What is Box and whisker plot?The lower and upper quartiles are shown on the left and right sides of a box and whisker plot, respectively. The interquartile range, which contains 50% of the data, is covered by the box. The median is the vertical line that divided the box in half.
We have a box and whisker plot.
Based on the position of the median value in the box plot, we may decide if a distribution is skewed or not. The distribution is right-skewed (or "positively" skewed") when the median is closer to the bottom of the box and the whisker is shorter on the lower end of the box.
A right-skewed distribution with a positive skewness is one in which the median is smaller than the mean. The median of a left-skewed distribution is bigger than the mean when the skewness is negative, on the other hand.
Here, the data is shorter on the lower end of the box.
Thus, the plot is positively skewed.
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imension
What is the area of the rectangle?
09
15 m2
7 m
17
19 m2
2 m
Intro
Done
Answer:
sorry can we have more info?
Step-by-step explanation:
Answer:
15m2
Step-by-step explanation:
hope this help.
Mr. Akmal owns a bakery, he bought 100 eggs this week.15 out of them cracked. Find the percentage of cracked eggs.
Answer:
Step-by-step explanation:
[tex]\frac{15}{100}[/tex]×100 = 15%
Solve: g^2x+1=g^3x-2
x=?
Answer:
the answer you will be looking for is g^2x - g^3x = -3
Step-by-step explanation:
as much as I would like to, I'm really not that great at explaining things
Answer:
Solve: 9^2x+1 = 9^3x-2
= 3
Step-by-step explanation:
What is the factored form of y^2 + xy − 6x^2?
Answer:
-((2x - y) (3x + y))
Step-by-step explanation:
Phillip watched a beach volleyball game from 1 P.M. to 1:20P.M. How many degrees did the minute hand turn?
Answer:
The minute hand covered 120 degrees
Step-by-step explanation:
Minute hand completes 1 round in 60 minutes
1 round =[tex]360^{\circ}[/tex]
So, The minute hand covered degrees in 60 minutes = [tex]360^{\circ}[/tex]
The minute hand covered degrees in 1 minute [tex]= \frac{360^{\circ}}{60^{\circ}}[/tex]
Phillip watched a beach volleyball game from 1 P.M. to 1:20P.M.
So, He watched it for 20 minutes
So,The minute hand covered degrees in 20 minutes =[tex]\frac{360^{\circ}}{60^{\circ}} \times 20 =120^{\circ}[/tex]
Hence The minute hand covered 120 degrees
The formula a=119e^0.027t models the population of a particular city, in thousands, t years after 1998, when will the population of the city reach 178 thousand
Answer:
By year 2092
Step-by-step explanation:
In this question, we are asked to calculate the year at which the population of the city will reach 178,000
The equation that models the population of the city is given as;
A = 119e^0.027t
Here, we plug A to be 178,000
178000 = 119e^0.027t
we take the natural logarithm of both sides)
ln 178,000 = ln (119e^0.027t)
12.09 = 0.027t ln 119
12.09/ln 119 = 0.027t
2.53 = 0.027t
t = 2.53/0.027
t = 93.7 which is approximately 94 years
Since t is number of years after 1998, the exact time the population will reach 178,000 will be 1998 + 94 years = 2,092
Answer:
The population of the city will reach 178 thousand almost 15 years after 1998, that is, in the last months of 2012.
Step-by-step explanation:
The equation to be solved is:
[tex]178 = 119\cdot e^{0.027\cdot t}[/tex]
Now, the variable is cleared with the help of algebraic handling:
[tex]\frac{178}{119} = e^{0.027\cdot t}[/tex]
[tex]\ln \frac{178}{119} = 0.027\cdot t[/tex]
[tex]t = 37.037\cdot \ln \frac{178}{119}[/tex]
[tex]t \approx 14.913\,yr[/tex]
The population of the city will reach 178 thousand almost 15 years after 1998, that is, in the last months of 2012.
The difference between two numbers is 12. Four times the larger number decreased by 25 equals 48 increased by 3 times the smaller number. Find the numbers.
The larger number is 37 and the smaller number is 25.
Explanation:To solve this problem, let's assume that the larger number is x and the smaller number is y.
According to the problem, x - y = 12 and 4x - 25 = 48 + 3y. We can solve this system of equations by substituting the value of x from the first equation into the second equation.
Substituting x = y + 12 into the second equation, we get 4(y + 12) - 25 = 48 + 3y. Simplifying this equation, we have 4y + 48 - 25 = 48 + 3y. By combining like terms, we get 4y + 23 = 48 + 3y. Subtracting 3y from both sides, we obtain y + 23 = 48. Finally, subtracting 23 from both sides, we find y = 25. Plugging this value into the first equation, we can solve for x: x - 25 = 12. Adding 25 to both sides, we get x = 37.Therefore, the larger number is 37 and the smaller number is 25.
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Find and interpret the mean absolute deviation of the data. round your answer to the nearest tenth if necessary.
__________
| 1 | 5 | 2 | 2 |
| 2 | 4 | 4 | 0 |
__________
please let someone know how to answer this!!
Answer:
21.89
Step-by-step explanation:
add and subtract
what is 1.83333 as a fraction
Answer:Para pasar el número decimal 1.83333 a fracción, siga los siguientes pasos:
Paso 1: Escriba el número como una fracción de 1 (uno):
1,83333 = 1,83333/1
Paso 2: Multiplica simultáneamente el numerador y el denominador por 10 tantas veces cuánto los dígitos después de la coma (separación entre la parte entera y la parte fraccionaria del número):
Como tenemos 5 números después de la coma, multiplique el numerador y el denominador por 100000. Así,
1,83333/1 = (1,83333 x 100000)/(1 x 100000) = 183333/100000.
Tenga en cuenta que multiplicar por 10 es el mismo que desplazar la coma a la derecha una posicion.
Una vez que esta fracción es irreductible, es decir, está en forma reducida, ya no podemos simplificarla. La respuesta es la fracción anterior.
Como el numerador es mayor que el denominador, tenemos una fracción IMPRORIA, entonces podemos expresarla como un NÚMERO separación, así 183333/100000 también es igual a 1 83333/100000 cuando se representa por un número mixto.
Step-by-step explanation:
Karlen started painting the walls at 10:45 am, and he said that he could complete the job at 5:25 pm. His father said that five eighths of that time was enough to paint the walls. However, when Karlen finished the job, they noticed that it actually took him 80% of an hour longer than the time predicted by the father. How much longer did Karlen predict it would take than the time it actually took him to complete the job (what part of an hour)? Please help as soon as possible
Answer:
karlen predicted it will take 1.7 hours longer than he actually did
Step-by-step explanation:
If Karlen started painting the walls at 10:45 am, and he said that he could complete the job at 5:25 pm.
Which means he thought he would spend 6 hrs 40 minutes or 6⅔ hours or 20/3
Now, his father said ⅝ of that time was going to be enough to paint the whole wall.
Thus; estimated time by father to paint whole wall = ⅝ x 20/3 = 25/6 hours.
Now, it says karlen took 80% of an hour longer than the time predicted by his father to finish the painting.
Thus, karlen actually spent;
25/6 + 80/100 hours = 25/6 + 4/5 = 149/30 hours
Thus, since karen predicted he was going to spend 20/3 hours, the difference is;
20/3 - 149/30 = 1.7 hours
So karlen predicted it will take 1.7 hours longer than he actually did
Answer:
1.7 hours
Step-by-step explanation:
What is the approximate distance between points P and Q? Round your answer to the nearest hundredth.
A.
4 units
B.
4.12 units
C.
4.89 units
D.
5.1 units
Answer:
d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A hockey coach recorded the number of shots taken by the home team and the number taken by the visiting team in 20 games. He displayed the results in the box plots below.
A box plot titled Number of Shots Taken by home team players. The number line goes from 10 to 32. The whiskers range from 16 to 32, and the box ranges from 20 to 23. A line divides the box at 22.
Number of Shots Taken by Home Team Players
A box plot titled Number of Shots Taken by visiting team players. The number line goes from 10 to 32. The whiskers range from 14 to 32, and the box ranges from 16 to 24. A line divides the box at 18.
Number of Shots Taken by Visiting Team Players
Which describes an inference that the coach might make after comparing the medians of the two data sets?
The home team took more shots than the visiting team.
The visiting team took more shots than the home team.
The home team had more variability in the number of shots taken.
The visiting team had more variability in the number of shots taken.
Answer:
the answer is B
Step-by-step explanation:
did the question on test
The visiting team took fewer shots than the home team, as inferred by comparing the medians represented by the line in each box plot.
Explanation:When comparing the medians of the two data sets from the box plots provided by a hockey coach, an inference that can be made is that the visiting team took more shots than the home team. This is determined by comparing the median number of shots, which is indicated by the line dividing the box within each box plot. For the home team, the median is at 22 shots, while for the visiting team, the median is at 18 shots. Since the median represents the middle value of the data set, having a lower median suggests that the visiting team took fewer shots on average than the home team.
Please help im gonna scream im so confuesed :(
Answer:
[tex]14^{-17}[/tex]
Step-by-step explanation
using the rules of exponents, it would be [tex]14^{10}[/tex]÷[tex]14^{27}[/tex] so then take away 27 from 10 and get -17 meaning that the answer would be A or [tex]14^{-17}[/tex]
Answer: A
Step-by-step explanation:
14^10 is already set.
(14^9)^3 is not set you need to multiply the exponents
14^18
14^10/14^27 = 14
14^-27 or 1/14^27
Did it rain spaghetti more or less than ½ of the month? Explain how you know.
pls explain
Answer:
More and Brainliest PLS
Step-by-step explanation:
there is 20 spaghetti days
half of 30 is 15
20 is greater than 15 so it is more than half of the month
how many real roots does the quadratic function f(x)= -5x^2 have?
a. 0
b. 1
c. 2
d. infinitely many
larry purchsed 3 pairs of pants for 24 each and 5 shirts for 18 each. how much larry spend
Answer:
162
Step-by-step explanation:
24 x 3 = 72
5 x 18 = 90
90 + 72 = 162
Answer:
162
Step-by-step explanation:
3*24=72 and 5*18=90 then add them together and they equal 162
A cable company wants to find out the average number of hours its customers spend watching cable television. Which group would best represent a sample of the population?
the first 100 people who pass by the company’s office door one week
100 of the company's customers who canceled their subscriptions last year
100 people who are customers of other cable companies
100 of the company's customers chosen from the monthly billing list
Answer:
D. 100 of the company's customers chosen from the monthly billing list
Step-by-step explanation:
Can you please find the quotient of 9/18÷ 3/6. I am pretty sure that the answer is 1
Answer:
It is 1
Step-by-step explanation:
Answer:
lol yeah its 1, you're right.
Step-by-step explanation:
PLZ HELP ASAP 15 POINTS FIRST ANSWER GETS BRAINLEST AND 5 STARS
Answer:
£503.75
Step-by-step explanation: