Answer: 2,5
Step-by-step explanation:
In order to find the domain of a function, check the function for two conditions:
a zero in a denominator
a negative under an even root
Exclude the values at which the function satisfies either or both of these conditions from its domain.
G(x) has no root but it does have a denominator. Therefore, check the first condition by setting the denominator equal to zero and excluding those solutions from the domain.
x2 - 7x + 10 = 0
(x - 2)(x - 5) = 0
x = 2, 5
The tortoise and the hare are having a race.In this tale,the tortoise moves 50 ft per hr while the hare moves at 259ft per hour. The tortoise takes 8hrs longer than the hare to finish. a. Let t represent the unknown time in hours that it took the hare to complete the race,
Write an expression (not an equation!) representing the time it took the tortoise to finish
the race.
b. Write two equations that represent the race, one for the hare and one for the tortoise.
c. What is the distance of the race?
Answer:
Step-by-step explanation:
1). Let the distance of the race = x feet
Speed of hare = 250 feet per hour
If it takes the time to complete the race = t hours
Since, Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
250 = [tex]\frac{x}{t}[/tex]
t = [tex]\frac{x}{250}[/tex]
2). Speed of tortoise = 50 feet per hour
Time taken by the tortoise [tex]t_1=\frac{x}{50}[/tex]
So the equations will be,
t = [tex]\frac{x}{250}[/tex] -------(1)
[tex]t_1=\frac{x}{50}[/tex] -------(2)
3). Since, tortoise took 8 hours longer than hare,
[tex]t_1[/tex] - t = 8
[tex]\frac{x}{50}- \frac{x}{250}=8[/tex]
[tex]\frac{(5-1)x}{250}=8[/tex]
[tex]\frac{4x}{250}=8[/tex]
x = [tex]\frac{250\times 8}{4}[/tex]
x = 500 feet
b) A number includes only three powers of 10, but it is more
than 50 000.
do 10 to the power of 10
50 to teh power of 3
100000 to the power of 3
6y - 9x = 24
-3y + 2x=7
Answer:
(x, y) = (-38/5, -38/5)
Step-by-step explanation:
6y - 9x = 24
-3y + 2x = 7 $\Rightarrow$ -6y + 4x = 14.
Adding the two equtions together, we get:
(6y - 9x) + (-6y + 4x) = 24 + 14.
Simplifying, we get:
-9x + 4x = 38
-5x = 38
x = -38/5.
So, 6y - 9 * (-38/5) = 24
y = -37/5
Answer:
Step-by-step explanation:
6y - 9x = 24
-6y + 6x = 21
-3x = 45
x = -15
-3y - 30 = 7
-3y = 37
y = -37/3
Prove that the value of the expression: 731^3−631^3 is divisible by 100
Answer:
is divisible by((731^3) - (631^3), 100) = True
Step-by-step explanation:
Answer:
Step-by-step explanation:
The formula for a^3 - b^3 = (a-b)(a^2+ab+b^2)
By Substitution, (731-631) ( 731^2 + 731x631 +631^2)
= 100 ( 731^2 + 731x631 +631^2)
Therefore it is divisible by 100
Show all work for full credit.
Answer:
−1,−4,−9,−14,-19,-24,-29,-34,-39,-44,-49,-54
Step-by-step explanation:
Sum is 3 then 5
La magnitud de un ángulo depende de la longitud de sus lados verdad o falso
Veremos que la propocición es falsa. La magnitud de un ángulo no tiene dependencia con la longitud de sus lados.
¿De que depende la magnitud de un ángulo?
La magnitud de un ángulo depende unicamente de la apertura entre sus lados. Un ejemplo de esto puede ser un par de triangulos equivalentes, donde las figuras son las mismas, pero las dimensiones de los lados no lo son.
En triangulos equivalentes podemos ver que todos los angulos interiores son exactamente igulaes, pese a que la longitud de los lados es diferente, asi vemos que la magnitud de un ángulo no tiene dependencia con el largo de sus lados.
Sí quieres aprender más sobre ángulos, puedes leer:
https://brainly.com/question/15755958
PLEASE PLEASE HELPJeans are on sale for 40% off. The jeans Justin wants to buy are marked with an original price of $80. What is the
Total cost, in dollars, for a pair of jeans at the sale price, including a 7% tax?
Answer:
$51.36
Step-by-step explanation:
anyone know what company has a greater rate per window and explain please.
Answer:
Company B
Step-by-step explanation:
Company A charges 25 per window, company b charges 40 per window, and company c charges 35 per window so company b has the highest rate
Answer:
company a the rate per window is $75
Step-by-step explanation:
the graph shows company a charges $75 for 1 window
company b (by the chart) charges $55
company c (using the equation) charges $60
35(1)+25=$60 (1 in the equation is the number of windows)
the Elephants at the zoo eat 2 3/4 buckets of bananas each day. The zookeeper bought 5 1/2 buckets of bananas. For how many days will.the bananas last ?
Answer:
1/8
Step-by-step explanation:
2 3/4= 11/4
5 1/2= 11/2
11/2 divided by 11/4 = 1/8
Set up a proportion and use it to solve for x.
X
64
48
there are 8 circles and 6 squares. what is the simplest ratio of squares to circles?
Answer:
4:3
Step-by-step explanation:
Given function:
8 circle by 6 squaresDivide similar factor by each term:
[tex]8=4[/tex]·[tex]2[/tex] [tex]6=3[/tex]·[tex]2[/tex]Rewrite:
[tex]4:3[/tex]Therefore, the simplest ratio for 8 circles and 6 squares would be 4:3..
8.44 = 34.6 + 4h/5
Helpppppp!!!
Answer:
h = -32.7
Step-by-step explanation:
8.44 = 34.6 + 4h / 5
-26.16 = 4h/5 (First off we subtract 34.6 from each side, to make it easier to solve)
-26.16 = 0.8h (Then, we turn 4h/5 into 0.8h since 4h / 5 = (4/5)h.)
-32.7 = h (Divide both sides by 0.8..)
h = -32.7 (And voila!! Your answer is right there!)
Plz guys I need help
the answer will be 16x
1 gallon 16x as constant variable
Luiz and Bianca are brother and sister and go to the same school. Luiz walks to school using a footpath, a distance of 900 m, and he walks at 1.5 m/s. Bianca cycles to school along the roads, a distance of 1.5 km, and she cycles at 5 m/s. They both plan on arriving at school by 8.55 a.m. Who leaves home first and by how much?
Answer:
Luis leaves home first and he leaves 5 minutes before Bianca
Step-by-step explanation:
dL (distance travelled by Luis) = 900 m
sL(Luis'd speed) = 1.5 m/s
tL = time taken by Luis = dL/sL = 900/1.5 = 600 seconds = 10 mins
So Luis would need to leave home at 8:45 am
dB = 1.5 km = 1500 m
sB = 5 m/s
tB = dB/sB = 1500/5 = 300 seconds = 5 minutes
So Biance would leave home at 8:50 am
Gabi and Lauren picked apples on Saturday. Gabi’s bucket had 20 apples and Lauren’s basket had 1 2/5 times as many apples as Gabi. How many apples did Lauren have?
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Gabi has 20
Lauren has 20 * 1 2/5
20*1 2/5 = 20*7/5 = 28
What is the fraction shown above?
At the beginning of spring, Andrew planted a small sunflower in his backyard. The sunflower's height in inches, h, after weeks, is given by the equation h = 2.5w + 19 What could the number 19 represent in the equation ?
Answer:
The sunflower's height when it was planted.
Step-by-step explanation:
The sunflower's height in inches, h, after weeks, is given by the equation :
h=2.5w + 19
We need to tell that what the number 19 represent in the equation.
If we put w=0, we get,
h=2.5(0) + 19
h = 19 inches
It means when the number of weeks is equal to 0, its height is equal to 19 inches i.e. 19 represents the initial height of the sunflower. So, the correct option is (c) "The sunflower's height when it was planted."
Please help answer these math question will give brainless.. :)
Please help!!! will give brainliest!
Answer:
C
Step-by-step explanation:
circumfrence = 2 pi r
= 20* 3.14= 2*31.4= 62.8
or c
if my answer helped please mark as brainliest.
Answer:
62.8
Step-by-step explanation:
If your not aloud to don't but if you look it up there's a really good calculator.
Help this is really hard
Answer:
x = 18, y = 45
Step-by-step explanation:
4x - 7 + a = 180 (linear pair)
But, a = 6x + 7 (alternate interior angles)
=> 4x - 7 + 6x + 7 = 180
=> 10x = 180
=> x = 18
Now, 3y - 20 = 6x + 7 (vertically opposite angles)
=> 3y - 20 = 6(18) + 7
=> 3y = 108 + 7 + 20
=> 3y = 135
=> y = 45
Hope it helps :)
Please mark my answer as the brainliest
Answer:
x=18, y=45
Step-by-step explanation:
I'm in algebra 2, so i don't remember theorem names anymore. But I think I know how to solve it. M and N are parallel, which means that the angles that form are equal to each other on opposite sides. We also know that a flat line adds up to 180 degrees. 6x+7 + 4x-7 add up to 180. (They are not equal angles) Solve for x. 10x=180 x=18.
Now for the y value. 6x+7 and 3y-20 are equal to each other, because they are opposite angles. 6(18)+7=115. set y equal to 115. 3y-20=115. 3y=135
y=45
Which expression is the sum of
-5.3m + 3.4n and 2.5n + 2.8m?
A. -2.8m + 6.2n
B. -2.5m + 5.9n
C.-8.1m + 0.9n
D. 2.5m + 5.9n
+
B
Answer:
b
Step-by-step explanation:
its b because you add the 3.4n +2.5n then you subtract -5.3+2.8
aye i need sum help wid dis
Answer:
angle 2
Step-by-step explanation:
adds up to 180 degrees
Answer:
5
Step-by-step explanation:
Check for understanding:
Daniel has a checking account balance of $460.63. He must pay $85.23 for groceries and
$81.34 for his cell phone bill. He also received a shopping refund for $52.13. Does Daniel
have enough money to make his $264.00 car payment? Explain.
My learning notes:
Answer:
Daniel does have enough money to make this car payment
Step-by-step explanation:
Addition and Subtraction
Daniel has an initial balance of $460.63 on this checking account.
He must pay $85.23 for groceries.
The new balance is $460.63 - $85.23 = $375.40
He then pays $81.34 for his cell phone bill. The balance is now $375.40 - $81.34 = $294.06.
He receives a shopping refund of $52.13 that adds up to this balance that now is: $294.06 + $52.13 = $346.19.
Daniel has to make his $264 car payment. The balance is $346.19, thus:
Daniel does have enough money to make this car payment
Please help I need due ....
Answer:
The answer is 22 2/5
Step-by-step explanation:
So the correct is B
Fill in the blanks. After conducting research around the country, Ford Motor Company determined that the probability of a randomly selected Ford vehicle on the road being driven by a female is 0.71. If there are 3,682 Ford vehicles in your town, around __________ cars will be driven by females, give or take __________. Assume each car represents an independent tria
Answer:
2614 cars will be driven by females, give or take 28.
Step-by-step explanation:
For each Ford vehicle, there are only two possible outcomes. Either it is driven by a female, or it is not. Cars are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Company determined that the probability of a randomly selected Ford vehicle on the road being driven by a female is 0.71.
This means that [tex]p = 0.71[/tex]
If there are 3,682 Ford vehicles in your town
This means that [tex]n = 3682[/tex]
__________ cars will be driven by females, give or take __________.
The mean and the standard deviation complete this. So
Mean: [tex]E(X) = np = 3682*0.71 = 2614[/tex]
Standard deviation: [tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{3682*0.71*0.29} = 28[/tex]
2614 cars will be driven by females, give or take 28.
Solve the formula A=2πrh+2πr2 for h.
Answer:
h = (A - 2πr²)/(2πr)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
A = 2πrh + 2πr²
Step 2: Solve for h
[Subtraction Property of Equality] Subtract 2πr² on both sides: A - 2πr² = 2πrh[Division Property of Equality] Divide 2πr on both sides: (A - 2πr²)/(2πr) = hRewrite/Rearrange: h = (A - 2πr²)/(2πr)Lewis is rolling a 10-sided die 250 times. Each side of the die is labeled with a number 1 – 10. Based on the theoretical probability, how many times would Lewis be expected to roll a multiple of 3?
Answer:
25
Step-by-step explanation:
250/10 = 25
Answer:
It is 25
Step-by-step explanation:
I did the test
X-9= -6
Please help me answer this question ASAP
Answer:
its 3
Step-by-step explanation:
How Many Equal Parts Are In 4/5
Answer:
4
Step-by-step explanation:
Image result for how many equal parts are in 4/5
Each equal part is called one-fourth or a quarter of the whole sheet. So, any whole can be divided into four equal parts and each part is one-fourth or a quarter of the whole.
An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Use the notation "4H", for example, to denote the outcome that the die comes up "4" and the coin comes up "heads", and "3HT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin.
a. Construct a tree diagram to show the 18 elements of the Sample Space S.
b. List the elements corresponding to the event A that a number less than 3 occurs on the die.
c. List the elements corresponding to the event B that two tails occur.
d. List the elements corresponding to the event C that a head and tail occur.
e. List the elements corresponding to the event A'.
f. List the elements corresponding to the event A' ∩B.
g. List the elements corresponding to the event A ∪ B.
h. Draw a Venn diagram to illustrate events A, B, and C.
i. Are A and B mutually exclusive? Are A and C mutually exclusive? Are B and C mutually exclusive?
Answer:
Kindly check attached picture and explanation
Step-by-step explanation:
A.) The tree diagram is attached in the picture below.
B.) Number less than 3 :
Event A:
A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}
C.)
Event B:
B = {1TT, 3TT, 5TT}
D.)
Event C:
C = {1HT, 1TH, 3HT,3TH,5HT, 5TH}
E.)
A' = Elements not in A = number ≥ 3
A' = {3HH,3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}
Question f and G are not well formatted ;
h. Check attached picture
I) i. Are A and B mutually exclusive? Are A and C mutually exclusive? Are B and C mutually exclusive?
A and B are mutually exclusive if AnB = ∅
Check :
AnB = {1TT}
Hence, A and B are not mutually exclusive
A and C
AnC = {1HT, 1TH}
A and C are not mutually exclusive.
B and C
BnC = ∅
B and C are mutually exclusive