Answer:
( 1. 6 )
Step-by-step explanation:
Use the formula:
x = - b/2a
to find the maximum and minimum.
Answer: (1, 6 )
Step-by-step explanation:
This should help:
x = - b/2a
Cleo buys a new car for $18,900. The simple interest rate is 6.6% and the amount of loan (plus simple interest) is repayable in 5 years. What is the total amount that must be repaid?
Answer:
$6,237 down payment
Step-by-step explanation:
calculated [tex]18,900[/tex]×[tex]6.6%[/tex]%×[tex]5 = $6,237[/tex]
I’ll mark you as brainliest
Step-by-step explanation:
1) 6s^2
(s mean the length of each side, s=7)
= 6x7^2
= 294
2) 2(3)(2)+2(1)(2)+2(3)(1)
（l=length, w=wide, h=height)
= 12+4+6
= 22
3) 4(π)12^2
(r=radius)
= 576
Jenna just got done jumping at the Trampoline center. The total cost of the session was $15.23 She had to pay an entrance fee of $7.25 and $1.45 for every minute she was on the trampoline.
Answer: 5.5 minutes
Step-by-step explanation:
Your question is not complete but I guess they you want to calculate the number of minutes that Jenne was on the trampoline.
Let the number of minutes be represented by m.
Therefore, based in the information, we can form an equation which will be:
7.25 + (1.45 × m) = 15.23
7.25 + 1.45m = 15.23
1.45m = 15.23 - 7.25
1.45m = 7.98
m = 7.98/1.45
m = 5.50
Therefore, Jenna used 5.5 minutes
Match each expression with its equivalent expression.
a. √4x^2y^4
b. √8x^2y
c. √4x^2y
c. √16xy^2
d. √8xy^2
1. 2x√y
2. 2y√2x
3. 2xy^2
4. 2x√2y
5. 4y√x
Answer:
a -> 3
b -> 4
c -> 1
d -> 5
e -> 2
Step-by-step explanation:
We apply the properties to solve this question.
a. √4x^2y^4
[tex]\sqrt{4x^2y^4} = \sqrt{4}\sqrt{x^2}\sqrt{y^4} = 2xy^2[/tex]
So a -> 3
b. √8x^2y
[tex]\sqrt{8x^2y} = \sqrt{8}\sqrt{x^2}\sqrt{y} = \sqrt{4*2}x\sqrt{y} = \sqrt{4}\sqrt{2}x\sqrt{y} = 2x\sqrt{2}\sqrt{y} = 2x\sqrt{2y}[/tex]
So b -> 4
c. √4x^2y
[tex]\sqrt{4x^2y} = \sqrt{4}\sqrt{x^2}\sqrt{y} = 2x\sqrt{y}[/tex]
So c -> 1
d. √16xy^2
[tex]\sqrt{16xy^2} = \sqrt{16}\sqrt{x}\sqrt{y^2} = 4\sqrt{x}y = 4y\sqrt{x}[/tex]
So d -> 5
e. √8xy^2
[tex]\sqrt{8xy^2} = \sqrt{8}\sqrt{x}\sqrt{y^2} = \sqrt{4*2}\sqrt{x}y = \sqrt{4}\sqrt{2}\sqrt{x}y = 2y\sqrt{2}\sqrt{x} = 2y\sqrt{2x}[/tex]
So e -> 2
The sum of the measures of angle LMN and angle NMP is 180 degrees
The sum of the measures of angle LMN and angle NMP is 180 degrees. The measure of ∠LMN is 153°.
What is the angle?In Euclidean geometry, an angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively.
L, m n is a straight angle, and we want to find the measure of angle, l, m, p, and m p, and since we are told that l m n is a straight angle.
∠LMN + ∠NMP = 180°
The straight line is 180°
180 - 18 = 162
162 = 18g
g = 9
Hence, ∠LMN = (15 x 9 + 18)° = 153°
Therefore, the measure of ∠LMN is 153°.
To learn more about angles, refer to the link:
https://brainly.com/question/14684647
#SPJ1
Using Venn diagrams, determine whether the arguments below are valid or invalid. (a) All professional athletes are rich. All rock stars are rich. Therefore, some rock stars are professional athletes.
valid? invalid?
(b) All bunnies are skittish. Some skittish animals have fur. All cows have fur. Therefore, cows are skittish animals. O valid O invalid
(C) All squares are rectangles. Some quadrilaterals are squares. Therefore, some quadrilaterals are rectangles. O valid o O invalid
d) All rectangles are quadrilaterals. All quadrilaterals are polygons. Therefore, all rectangles are polygons. O valid O invalid
Answer:
a. invalid
b. invalid
c. valid
d. valid
Write equation for the line that is perpendicular to the y axis and passing through (5,1)
Answer:
Step-by-step explanation:
A line perpendicular to the y-axis, which is vertical, is a line that is horizontal. Perfectly horizontal lines always have a slope of 0. Thus, the equation of the line perpendicular to the one given and passing through the given point (5, 1) is
y - 1 = 0(x - 5) and
y - 1 = 0x - 0 and
y - 1 = 0 so
y = 1 is the equation you're looking for.
44%adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
Answer:
.101501615
.84982392
.901244701
Step-by-step explanation:
For this question use a binomial distribtuion
a.
12C3*.44³*(1-.44)⁹= .101501615
b.
to find at least 4 find the probability of less than 4 and take its compliment
12C0*(1-.44)¹²+12C1*.44*(1-.44)¹¹+12C2*.44²*(1-.44)¹⁰+12C3*.44³*(1-.44)⁹= .15017608
1-.15017608=.84982392
c.
To find less than eight's probability find the proability of at least 8 and take its compliment
12C8*.44⁸(1-.44)⁴+12C9*.44⁹(1-.44)³+12C10*.44¹⁰(1-.44)²+12C11*.44¹¹*(1-.44)+12C12*.44¹²= .098755299
1-.098755299= .901244701
Contains the origin and is parallel to the line 8x − 3y = 3
Answer:
y=(8/3)x
Step-by-step explanation:
First, we make 8x-3y=3 into the form y=mx+b
3y=8x-3
y=(8/3)x-1
For an equation to be parallel to this equation, the slope must be the same, so the new equation will be:
y=(8/3)x+b
We know that (0,0) is a point in this line. We plug (0,0) into the equation to find b:
0=(8/3)*0+b
b=0
y=(8/3)x
Use the Squeeze Theorem
Answer:
See Below.
Step-by-step explanation:
We want to use the Squeeze Theorem to show that:
[tex]\displaystyle \lim_{x \to 0}\left(x^2\sin\left(\frac{2}{x}\right)\right)=0[/tex]
Recall that according to the Squeeze Theorem, if:
[tex]\displaystyle g(x)\leq f(x) \leq h(x)[/tex]
And:
[tex]\displaystyle \lim_{x\to c}g(x) =\lim_{x\to c}h(x) = L[/tex]
Then:
[tex]\displaystyle \lim_{x\to c}f(x)=L[/tex]
Recall that the value of sine is always ≥ -1 and ≤ 1. Hence:
[tex]\displaystyle -1 \leq \sin\left(\frac{2}{x}\right) \leq 1[/tex]
We can multiply both sides by x². Since this value is always positive, we do not need to change the signs. Hence:
[tex]\displaystyle -x^2\leq x^2\sin\left(\frac{2}{x}\right)\leq x^2[/tex]
Let g = -x², h = x², and f = x²sin(2 / x). We can see that:
[tex]\displaystyle \lim_{x \to 0}g(x) = \lim_{ x \to 0}h(x) = 0[/tex]
And since g(x) ≤ f(x) ≤ h(x), we can conclude using the Squeeze Theorem that:
[tex]\displaystyle \lim_{x \to 0}f(x) = \lim_{x \to 0}x^2\sin\left(\frac{2}{x}\right)=0[/tex]
Aysha has 40 cubes in a bag.
18 red cubes.
13 blue cubes.
9 yellow cubes.
Aysha adds some more red cubes into the bag.
Aysha is now going to take at random a cube from the bag
The probability now that she will take a red cube is 0.5.
Work out the probability that she will take a yellow cube.
Given:
Total number of cubes = 40
Red cubes = 18
Blue cubes = 13
Yellow cubes = 9
Aysha adds some more red cubes into the bag.
The probability now that she will take a red cube is 0.5.
To find:
The probability that she will take a yellow cube.
Solution:
Let Aysha adds x red cubes into the bag. Then,
Number of total cubes = 40+x
Number of red cubes = 18+x
Probability of getting a red cube is:
[tex]P(Red)=\dfrac{18+x}{40+x}[/tex]
The probability now that she will take a red cube is 0.5. So,
[tex]\dfrac{18+x}{40+x}=0.5[/tex]
[tex]18+x=0.5(40+x)[/tex]
[tex]18+x=20+0.5x[/tex]
[tex]x-0.5x=20-18[/tex]
[tex]0.5x=2[/tex]
Divide both sides by 0.5.
[tex]x=\dfrac{2}{0.5}[/tex]
[tex]x=4[/tex]
It means Aysha adds 4 more red cubes into the bag.
Now, the total number of cubes int he bag is:
[tex]40+4=44[/tex]
Probability of getting a yellow cube is:
[tex]P(Yellow)=\dfrac{\text{Number of yellow cubes}}{\text{Total number of cubes}}[/tex]
[tex]P(Yellow)=\dfrac{9}{44}[/tex]
Therefore, the required probability is [tex]P(Yellow)=\dfrac{9}{44}[/tex].
A pool was filled with 8 .2 x10^3gallons from one hose and 9 .4x 10^3 gallons from another hose. What is the total amount of water in the pool? Express the answer in scientific notation. O 176x102 gallons 176x102 gallons 17.6 x 10 gallons 1.76x104 gallons
Answer:
1.76x10^4 gallons
Step-by-step explanation:
total amount in the pool = gallon from first hose + gallon from second hose
(8.2 + 9.4) 10^3
(17.6)10^3
(1.76 x 10^1)10^3
1.76 x 10^3+ 1 = 1.76x10^4 gallons
11. Find the sum of the arithmetic series. overset [22] underset{k=1}\huge{Sigma) (-4k - 13) =
Answer:
okay, we need to add up for all k=1 till k=22
we could do it like this
(-4*1 -13) + (-4*2 -13) + (-4*3 -13) + ...
but this is long and boring, so we need another valid, yet vastly faster method to calculate this sum
we know that the "-13" part will occur 22 times, so let's write this component as "-13*22"
the -4k gents bigger with each step, k will take all the natural numbers from 1 to 22
so we could write
"-4 * (1+2+3+4+5+6+7...+21+22l
alot simpler and faster, but not fast enough
let's add up all numbers from 1 to 22 into one number
1 + 22 = 23
2 + 21 = 23
3 + 20 = 23
...
this works eleven times (bc we use up 2 numbers in each step), so the numbers from 1 to 22 added up are just
23*11= 230+23 = 252
now let's construct the final calculation
-4 * 252 -13*22 = -1294
there's your sum.
hope it helps you overall.
brainliest would be very kind ic some else leaves an answer, may it be just a greeting
Will Mark Brainlest!!!!!! pls helppo meee
Answer:
Step-by-step explanation:
if x=√10 - 2 √2 find x^2 + 1/x^2
Someone help me please
whats the square root of 0.0025
There were toy cars,dolls and teddy bears in a shop. 30% of the toys were toy cars. The ratio of the number of dolls to the number of teddy bears were 4:1 . There were 156 more dolls than you cars. After some toy cars were sold, 16% of the remaining toys in the shop was toy cars. How many toy cars were left in the shop?
Answer:
80 toy cars were left in the shop.
Step-by-step explanation:
Since there were toy cars, dolls and teddy bears in a shop, and 30% of the toys were toy cars, and the ratio of the number of dolls to the number of teddy bears were 4: 1, and there were 156 more dolls than toy cars, and after some toy cars were sold, 16% of the remaining toys in the shop were toy cars, to determine how many toy cars were left in the shop the following calculation must be performed:
Toy cars = 30%
Dolls and teddy bears = 70%
70/5 = 14 x 4 = 56
Dolls = 56%
Teddy bears = 14%
56 - 30 = 26
156/26 = 6 (1%)
Toy cars = 30 x 6 = 180
Dolls = 56 x 6 = 336
Teddy bears = 84
100 - 16 = 84
84 = 336 + 84 = 420
16 = X
84 = 420
16 = X
16 x 420/84 = X
80 = X
Therefore, 80 toy cars were left in the shop.
What is the value of the expression below? (27^7/3)^1/7
Answer:
3486784401/7
Step-by-step explanation:
A 25 foot ladder is leaning against a tree. If the base of the ladder is 6 feet
away from the base of the tree, how high, to the nearest tenth, does the
ladder reach up the tree?
9514 1404 393
Answer:
24.3 ft
Step-by-step explanation:
If h is the height of the ladder up the tree, the geometry can be modeled as a right triangle with legs h and 6, and hypotenuse 25. The Pythagorean theorem gives you the relation ...
h² +6² = 25²
h² = 625 -36 = 589
h = √589 ≈ 24.3
The ladder reaches about 24.3 feet up the tree.
Please help asap!!! Will give brainleist for the right answer
Answer:
I think the answer is 1,032 pounds
Step-by-step explanation:
You would have to multiply the dimensions of the table first:
8*3*1=24.
Then you would multiply that by 43.
24*43=1,032.
I THINK this is the answer.
PLEASE HELP ASAP NO LINKS OR WILL BE REPORTED I NEED THIS LIKE RIGHT NOW PLEASE HURRY SHOW ALL OF YOUR WORK! (b) What is 1.363636... expressed as a fraction in simplest form? SHOW ALL OF YOUR WORK ( c) what is 5.152 expressed as a fraction in simplest form? SHOW ALL OF YOUR WORK
Answer:
1.3636363636...
can be expressed as
1 + 4/11
I tried out different fractions
1/11 is just 0.09090909...
4/11 is 4 times thar
1 = 11/11
so it's just 15/11
5.152
can be written as
[tex] \frac{5.152}{1} [/tex]
or as
[tex] \frac{5152}{1000} [/tex]
simplified with 8
[tex] \frac{644}{125} [/tex]
which linear inequality is represented by the graph
Answer:
y< -2x + 3
Step-by-step explanation:
Good luck with your questions :)
Find the area of the sector in
terms of pi.
150°
12
Area = [?]π
Enter
Which equation demonstrates the additive identity property?
(7 + 4 i) + (7 minus 4 i) = 14
(7 + 4 i) + 0 = 7 + 4 i
(7 + 4 i) (1) = 7 + 4 i
(7 + 4 i) + (negative 7 minus 4 i) = 0
Answer:
b. on edge
Step-by-step explanation: just did the quiz and got it right
Which expression and diagram represent “three times a number”?
3 x right-arrow 3 boxes with x and 3 boxes with minus signs
3 x right-arrow 3 boxes with x
3 + x right-arrow 2 boxes with x and 3 boxes with plus signs
x + 3 right-arrow 3 boxes with plus signs
Answer:
b
Step-by-step explanation:
Answer:
took the test, it is B like the other person said!!
What is the Answer
Please Help
Answer:
Step-by-step explanation:
circumference=2πr
=2*3.14*2
=12.56 km
Must the quadrilateral be a parallelogram?
A. Yes, both pairs of opposite sides are parallel.
B. No, both pairs of opposite sides are parallel but not congruent
C. No, both pair of opposite sides are congruent but not parallel.
D. Yes, both pairs of opposite sides are congruent.
All of the following solid figures except a _____ have two bases.
Answer:
All of the following solid figures except a square pyramid have two bases.
-58
a
Simplify:
6
A
a4066
B
a1362
alb
D
a 40648
Answer:
wait ill work this out for you
Step-by-step explanation:
Question A mountain road rises 10 feet for a 494-foot run. What is its slope? Enter a fraction. Provide your answer below:
Answer:
5/247
Step-by-step explanation:
Slope is rise over run
10/494
Simplifying by dividing top and bottom by 2
5/247