Answer: C) 18
Step-by-step explanation:
Your problem → Simplify square root of 324
First find factors of 324
2 324
2 162
3 81
3 27
3 9
3 3
1
324=2×2×3×3×3×3
324 = 2^2 × 3^4
Taking squareroot
∴√324=√2^2 × 3^4
=2 × 3^2
=18
∴ 324 is a perfect square
The common difference of the arithmetic sequence
Answer:
its 1/3
Step-by-step explanation:
please mark it as brainliest!!<3
Answer:
We conclude that the common difference of the Arithmetic sequence is: 1/3
Step-by-step explanation:
Given the Arithmetic sequence
1/2, 5/6, 7/6, 3/2, 11/6
We know that an Arithmetic sequence has a constant common difference.
Let us compute the common difference 'd' of all the adjacent terms
[tex]\frac{5}{6}-\frac{1}{2}=\frac{1}{3},\:\quad \frac{7}{6}-\frac{5}{6}=\frac{1}{3},\:\quad \frac{3}{2}-\frac{7}{6}=\frac{1}{3},\:\quad \frac{11}{6}-\frac{3}{2}=\frac{1}{3}[/tex]
The difference between all the adjacent terms is the same and equal
Therefore,
[tex]d=\frac{1}{3}[/tex]
Hence, we conclude that the common difference of the Arithmetic sequence is: 1/3
Camp Oaks gets 32 boxes of orange juice and 56 boxes of apple juice. Each shelf in the cupboard can hold 8 boxes of juice. What is the least number of shelves needed for all the juice boxes?
Answer:
At least 11 shelves are needed for all the juice boxes.
Step-by-step explanation:
Given that:
Boxes of orange juice = 32
Boxes of apple juice = 56
Total boxes = 32+56 = 88
As one shelf can hold 8 boxes of juice.
Number of shelves = [tex]\frac{88}{8}[/tex]
Number of shelves = 11
Hence,
At least 11 shelves are needed for all the juice boxes.
GIVE ME THE CORRECT ANSWER I THANK, GIVE 5 STARS, AND GIVE BRAINLIEST!!!!
System of equations
Solve by substitution:
y = x + 7
2x + y = -5
Group of answer choices
(4 , -3)
(4 , 3)
(-4 , 3)
(-4, -3)
Answer:
C: (-4,3)
Step-by-step explanation:
2x+x+7=-5
3x+7=-5
3x=-12
x=-4
y=-4+7
y=3
(-4,3)
Angle A is circumscribed about circle O. What is the measure of A?
Answer:
88°
Step-by-step explanation:
Connect A to O, you'll have 2 same right triangles and angle COB is going to be split in half.
Answer:
88
Step-by-step explanation:
I can’t figure out the surface area. Someone please help !! :)
Step-by-step explanation:
diameter is 8•5
radius is d/2
8•5/2
=4•25
surface area = 4πr^2
4×22/7×4•25×4•25
=1589•5/7
=227•1
Volume= 4/3πr^3
4/3×22/7×4•25×4•25×4•25
4/3×22/7×76•76
=321•7
Hope it helps
plz mark as brainliest
How many ways can three balls of different colors yellow, red, and green be put in a can
Answer:
If I'm doing this right its 6 ways
Step-by-step explanation:
yrg, rgy, gyr, ygr, gry, ryg
I hoped this helped
Find the perimeter of the figure. Round all figures to the nearest hundredths place.
Isosceles trapezoid
13 ft
4 ft
9 ft
a. 26.47 ft
b. 26.90 ft
c. 30.94 ft
d. 24.45 ft
Given:
Consider the below figure attached with this question.
To find:
The per perimeter of the isosceles trapezoid. Round all figures to the nearest hundredths place.
Solution:
Consider the isosceles trapezoid is ABCD.
Draw two perpendicular from C and D to AB as shown in second figure.
Now, CDEF is a rectangle,
[tex]EF=CD=9\text{ ft}[/tex]
[tex]AB-EF=13-9[/tex]
[tex]AB-EF=4\text{ ft}[/tex]
It is an isosceles trapezoid, so [tex]\Delta ADE\cong \Delta BCF[/tex].
[tex]AE=BF=\dfrac{4}{2}=2\text{ ft}[/tex]
Now,
[tex]AE^2+DE^2=AD^2[/tex] [Pythagoras theorem]
[tex]2^2+4^2=AD^2[/tex]
[tex]4+16=AD^2[/tex]
[tex]\sqrt{20}=AD[/tex]
[tex]AD=BC\approx 30.94[/tex] [Isosceles trapezoid]
Find the perimeter of the figure.
[tex]Perimeter=AB+BC+CD+AD[/tex]
[tex]Perimeter=13+4.47+9+4.47[/tex]
[tex]Perimeter=30.94\text{ ft}[/tex]
Therefore, the correct option is c.
Shorter Version: C lol
Is this correct ? Please help thanks so much
Answer:
yes
Step-by-step explanation:
using elimination you can see every other answer is definitely wrong leaving you with just one which is 2UX
9514 1404 393
Answer:
2UX (your answer is correct)
Step-by-step explanation:
One way to define a parabola is as the set of points equidistant from the focus and directrix.
That means the distance from W to the directrix must be the same as the distance WU. Since the parabola is symmetrical and WU is parallel to the directrix, we have WU = UT = UX. So the double length WT is double the distance UX:
WT = 2UX
A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop (combined with the brakes) after the end of a run. Suppose that the main chute deploys with probability 0 . 95, and that if the main fails to deploy, the backup deploys with probability 0.999.
Required:
a. What is the probability that one of the two parachutes deploys?
b. What is the probability that the backup parachutes deploys?
Answer:
a. 0.99995 = 99.995% probability that one of the two parachutes deploys
b.0.04995 = 4.995% probability that the backup parachutes deploys
Step-by-step explanation:
a. What is the probability that one of the two parachutes deploys?
Either the first deploys(with probability 95%), or the first does not deploy(probability 5%) and the second does(probability 99.9%). So
[tex]p = 0.95 + 0.05*0.999 = 0.99995[/tex]
0.99995 = 99.995% probability that one of the two parachutes deploys
b. What is the probability that the backup parachutes deploys?
The first does not deploy(probability 5%) and the second does(probability 99.9%). So
[tex]p = 0.05*0.999 = 0.04995[/tex]
0.04995 = 4.995% probability that the backup parachutes deploys
Which of the following is a simple event?j
A. Rolling a die and tossing a coin
B. drawing a card from a deck of cards and rolling a die
C. spinning a spinner
D. tossing a coin 3 times
Answer:
D. tossing a coin 3 times
Suppose that 70% of the orders on a particular website are shipped to the person who is making the order and the remaining 30% are shipped to the people other than the person placing the order. Gift wrapping is requested for 60% of the orders being shipped to other people, but for only 10% of the orders shipped to the person making the order.
a. What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?
b. What is the probability that a randomly selected order will be gift wrapped?
c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically?
Answer:
0.18 ; 0.1875 ; No
Step-by-step explanation:
Let:
Person making the order = P
Other person = O
Gift wrapping = w
P(p) = 0.7 ; P(O) = 0.3 ; p(w|O) = 0.60 ; P(w|P) = 0.10
What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?
Using the relation :
P(W|O) = P(WnO) / P(O)
P(WnO) = P(W|O) * P(O)
P(WnO) = 0.60 * 0.3 = 0.18
b. What is the probability that a randomly selected order will be gift wrapped?
P(W) = P(W|O) * P(O) + P(W|P) * P(P)
P(W) = (0.60 * 0.3) + (0.1 * 0.7)
P(W) = 0.18 + 0.07
P(W) = 0.1875
c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically
No.
For independent events the occurrence of A does not impact the occurrence if the other.
What is the next three numbers in pattern?
3,9,4,16,5,25,
Answer:
3, 9, 4, 16, 5, 25, 6, 36, 7
Use slopes to determine if the lines y=−4 and x=−1 are perpendicular.
Answer:
they are perpindicular because they intersect at a right angle
Step-by-step explanation:
Answer:
The lines y=−4 and x=−1 are perpendicular.
Step-by-step explanation:
Given the lines
y=−4
x=−1
The equation y = -4 indicates that the line is horizontal because the value of y remains constant no matter what the value of x is. We also know that the slope of a horizontal line is zero.
In other words, there is no change in y-value i.e. (y₂-y₁) = 0.
Thus, the slope of the horizontal line y = -4 is zero.
Therefore, the slope of y = -4 is: m₁ = 0
The equation x = -1 indicates that the line is vertical because the value of x remains constant no matter what the value of y is. We also know that the slope of a vertical line is undefined or ∞.
In other words, there is no change in x-value i.e. (x₂-x₁) = 0.
Thus, the slope of the vertical line x = -1 is zero.
Therefore, the slope of x = -1 is: m₂ = ∞.
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.
As the slope of line y = -4 is: m₁ = 0
Thus, the slope of the the new perpendicular line = m₂ = – 1/m = -1/0 = ∞
Therefore, the lines y=−4 and x=−1 are perpendicular.
ALSO:
From the attached graph, it is clear that:
The red line is representing y = -4The blue line is representing x = -1It is clear that both lines are perpendicular as they are meeting at a right angle.
Therefore, the lines y=−4 and x=−1 are perpendicular.
Marking brainliest
Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?
Answer:
[tex]11.1\: \mathrm{g}[/tex]
Step-by-step explanation:
Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are [tex]18\cdot 0.2=3.6[/tex] grams of sugar in her syrup.
John's mixture of 30 grams has a 25% sugar content. Therefore, there are [tex]30\cdot 0.25=7.5[/tex] grams of sugar in her syrup.
Therefore, if they mix their syrups together, there will be [tex]3.6+7.5=\fbox{11.1}[/tex]grams of sugar.
Answer:
I need this answer ASAP
Step-by-step explanation:
PLZ HURRY
Which linear function has the steepest slope?
Answer:
The chart has the steepestt slope
Step-by-step explanation:
The graph has a slope of -3 since it is falling
ANd the table gets you a slope of 1
1>-3
So the table/chart has the steeper slop
FREE BRAINLIEST. LOOK AT PHOTO AND ANSWER LIKE STEP1 , STEP 2.
Answer:
Step 1 16+24-18
Step 2) 22
Step-by-step explanation:
△ KLM ∼ △ KCB . What is the value of x?
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
Since the two triangles are similar, write the following proportion:
[tex]\frac{24}{16}=\frac{15}{2x-6}[/tex]
Cross-multiply and solve:
[tex]24(2x-6)=16\cdot 15,\\48x-144=240,\\48x=384,\\\fbox{$x=8$}[/tex].
What is the probability of rolling a three and flipping tails? Brainliest for correct answer.
Answer:
1/12
Step-by-step explanation:
dice have 6 sides and the coin has 2 sides, so u multiply 6x2 to get your denominator 12. you are trying to get 1 side of the dice, and 1 side of the coin so the numerator is 1. when put together you get the fraction 1/12
If William wants to travel 450 miles in 12 hours, what constant speed (miles per hour) must he travel?
Answer: 37.5 rounded it would be 38
Step-by-step explanation:
Wei writes down 5 numbers.l She starts with 12. She uses a pattern to write the other numbers
12,18,24,30,36
A.Add 6
B.Add 8
C.Add 4
Please explain your work. The answer is not 6785.8, 1.5, or 6782.4.
Answer:
[tex]2160\pi \:\mathrm{ft^3} \approx 6786\:\mathrm{ft^3}[/tex]
Step-by-step explanation:
The volume of a cylinder is given as:
[tex]r^2\pi\cdot h[/tex].
Thus, the difference of the cylinders' volumes are:
[tex]|18^2\cdot 20\cdot \pi - 12^2\cdot 30 \cdot \pi|\approx \fbox{$6785.84\:\mathrm{ft^3}$}[/tex].
Since you've said [tex]6785.8[/tex] is not being accepted as an answer, please check all instructions to see if there are directions asking you to specifically round your answer. If not, you can ask your teacher/instructor what they're looking for.
Which expressions are equivalent to the expression 30x^2-5x-10
192
7) 1/2+1/2=
Your answer
Answer:
1 is the answer as 0.5 +0.5=1
haha help me be brainiest
Answer:
0.5+0.5=1
hahaha
it's so easy
Dean purchased a box of cereal Which of these measurements BEST describes the volume of the box?
1.)154 cubic feet
2.)154 cubic inches
3.)154 cubic meters
4.)154 cubic millimeters
Answer:
2
Step-by-step explanation:
You don't measure cereal in the others because feet, meters and millimeters are too big. Hope this helps.
Find the sum of 2 4/5 + 1 3/9
Answer:
4 2/15
Step-by-step explanation:
4 x 9 = 36 3 x 5 = 15 5 x 9 = 45
36/45 + 15/45 = 51/45 = 1 6/45
1 + 2 + 1 = 4 + 6/45 = 4 6/45= 4 2/15.
What's the number come next 0,3,3,4,8,2,?
sorry i don't know
sorry
sorry
Let A be a 3 X 4 matrix. If
b = a1 + a2 + a3 + a4
then what can you conclude about the number of solutions of the linear system Ax=b?
Explain.
Answer:
Let A be a 3 X 4 matrix. If
b = a1 + a2 + a3 + a4
then what can you conclude about the number of solutions of the linear system Ax=b?
Explain.
The system has infinitely many solutions
Step-by-step explanation:
Since b= a1 + a2 + a3+ a4 if it follows that x= (1,1,1,1)^T is a solution to the equation Ax = b.
Since the matrix contains 3 rows there can be 3 nonzero rows and consequently
3 lead variables at most after we compute the row echelon form of the matrix
At least of the variables is free variables is free variable.
The system has infinitely many solutions
Sydney invests money in an account paying a simple interest of 5.2% per year. If no
money will be added or removed from the investment, what should she multiply her
current balance by to find her total balance in a year in one step?
Answer:
She should multiply her current balance by 1.052.
Step-by-step explanation:
Her investment is an account with a simple interest of 5.2% per year.
So in one year, she will have 100% + 5.2% = 105.2% of her initial amount. To find the multiplier, we divide by 100%. So
105.2%/100% = 1.052
She should multiply her current balance by 1.052.
If car a drive 300 miles and 6 hours and karbi drive 50 miles in a certain amount of time what is the unknown
Answer:
1 hour
Step-by-step explanation:
300/6= 50
in one hour he drives 50 miles
so the answer is 1 hour
Which of the following values of t will result in a true statement when substituted into the given equation?
1/2 t-4(2+t)=20
A. t = 8
B. t = -8
C. t = 11
D. t = -12
Answer:
c
Step-by-step explanation: