Answer:
Use the formula ( b 2 ) 2 in order to create a new term.
Solve for x by using this term to complete the square.
Exact Form: x = ± √ 65 4 + 3 4
Decimal Form: x = 2.76556443 … , − 1.26556443 …
Please help 30 points
A recursive definition of an arithmetic sequence is shown below.
a = 7
an = an-1 + 3
Which of the following expressions represents the nth term of this sequence?
A. Ont3
B.
3n + 4
C.O3n +7
D.O7n +3
Katharine has a bag containing 20 dried beans. Eight of the beans are painted blue. If Katharine selects a bean from the bag at random, what is the probability that she will draw a bean that is NOT blue? Al out of 3 B 2 out of 5 C 3 out of 5 D 2 out of 3
Given:
Total number of beans = 20
Number of blue of beans = 8
One bean is selected from the bag at random.
To find:
The probability that she will draw a bean that is NOT blue.
Solution:
We have,
Total number of beans = 20
Number of blue of beans = 8
Number of non-blue beans = 20 - 8
= 12
Now, the probability that she will draw a bean that is NOT blue is
[tex]P(\text{Bean is not blue})=\dfrac{\text{Number of non-blue beans}}{\text{Total number of beans}}[/tex]
[tex]P(\text{Bean is not blue})=\dfrac{12}{20}[/tex]
[tex]P(\text{Bean is not blue})=\dfrac{3}{5}[/tex]
Therefore, the correct option is C.
1/3 divided by 4
2/5 divided by 4
4/7 divided by 4
2/5 divided by 3
5/6 divided by 5
5/8 divided by 10
Answer:
1. 0.0833
2. 0.1
3. 0.1428
4. 0.1333
5. 0.1666
6. 0.0625
These three points are collinear. (3, 6), (-2, -9), (0, -4)
True False
Answer:
False
Step-by-step explanation:
to determine if the points are collinear, determine the rate of change(slope) between (-2, -9) and (0, -4) and then the rate of change between (0, -4) and (3,6) and rate of change between (-2, -9) and (3, 6). if the rates are equivalent then the points are all collinear
between (-2, -9) and (0, -4):
m=(y2-y1)/(x2-x1)
=(-4-(-9))/(0-(-2))
=5/2
between (0, -4) and (3,6):
m=(y2-y1)/(x2-x1)
=(6-(-4))/(3-0)
=10/3
because 5/2 does not equal 10/3 the rates of change are not equal and the points are not collinear, do not need to consider slope between (-2, -9) and (3, 6)
4. An annual pass covering emtrance fees to more than
2,000 national parks costs $80. If the total income from
the annual passes is $12,800 in one month, which equation
can you use to find the number of passes purchased that month?
F. 12,800p = 80
H. 80p = 12,800
G. 12,800 – p = 80
J. 80 + p = 12,800
Answer:
Search it up
Step-by-step explanation:
Someone already answered it on brainly
Can someone help me with this trigonometry question
==================================================
Explanation:
Apply the law of cosines to find angle C
c^2 = a^2 + b^2 - 2*a*b*cos(C)
19^2 = 11^2 + 17^2 - 2*11*17*cos(C)
361 = 121 + 289 - 374*cos(C)
361 = 410 - 374*cos(C)
361 - 410 = -374*cos(C)
-49 = -374*cos(C)
-374*cos(C) = -49
cos(C) = (-49)/(-374)
cos(C) = 0.131016042780749 ..... which is approximate
C = arccos(0.131016042780749)
C = 82.4716905247836
C = 82 degrees
Notes:
arccos is shorthand for "arccosine". It is the same as inverse sine.Make sure your calculator is in degree mode. You can check by computing cos(60) and you should get 0.5A car travels at a speed of 55 kilometers per hour.Find the distance travelled by the car in 12 minutes and 30 seconds.Find the Answers in meters
Answer:
Step-by-step explanation:
(distance) d = (speed) s * t (time)
= 55km/h * 12.30m/s
= 11.275 km
= 11.275 * 1000
= 11275m
help pls hurry
find the volume
Step-by-step explanation:
hope it helps you
here is ur answer
Hailstones form when strong winds support ice particles high in clouds. We can assume that the diameter of a hailstone varies directly with the time the hailstone takes to form. A hailstone with a diameter of 0.75 inches takes about 12 minutes to form. Write an equation that gives the hailstone’s diameter d after t minutes. Then find the diameter of a hailstone that takes 20 minutes to form.
Answer:
the equation y= ax represents direct variation between x and y is said to vary directly with x. the nonzero constant a is called the constant of variation.
Step-by-step explanation:
I'm not sure if that's what you were asking for but there .
brainiest please.
Please help me! Please and thank you!
Answer:
4m+0.50
Step-by-step explanation:
Is AABC= ADEF? If so, name the postulate that applies.
Answer:
B. congruent - SAS
Step-by-step explanation:
IT IS CONGRUENT BY SAS AXIOM.
HOPE IT HELPS :)
A pair of basketball shoes's normal price is $120. Jordan bought it at a discount of 10%. He had to pay 8% tax on the discounted price. If jordan put 15% of the final cost (including tax) as a down payment, how much money did he have to pay for the down payment?
Answer:
$17.50
Step-by-step explanation:
If the shoes are discounted at 10%, the price would be 90% of the original price
Discounted price = 0.9 x 120 = 108
Tax increases the price of the good. so, the discounted price would increase by 8%
1.08 x 108 =116.64
If Jordan pays 15% as a down payment, he would pay :
0.15 x 116.64 = 17.496
Question 7(Multiple Choice Worth 5 points)
(04.07A LC)
Which equation does the graph below represent?
15
12
9
6
3
2 3 4 5
-5 -4 -3 -2 -1 01
31
-6
.9
-12
-15
y =
y = -3x
y = 3x
y = x
Answer:
[tex]y = -3x[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine the graph equation
To do this, we pick any 3 corresponding points of x and y
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (2,-6)[/tex]
[tex](x_3,y_3) = (-4,12)[/tex]
The equation can then be solved using linear interpolation as follows:
[tex]\frac{y-y_3}{x-x_3} = \frac{y_2 - y_1}{x_2-x_1}[/tex]
This gives:
[tex]\frac{y-12}{x-(-4)} = \frac{-6 -0}{2-0}[/tex]
[tex]\frac{y-12}{x+4} = \frac{-6 -0}{2-0}[/tex]
[tex]\frac{y-12}{x+4} = \frac{-6}{2}[/tex]
[tex]\frac{y-12}{x+4} = -3[/tex]
Multiply both sides by x + 4
[tex](x + 4) * \frac{y-12}{x+4} = -3 * (x + 4)[/tex]
[tex]y - 12 = -3 *(x + 4)[/tex]
Open bracket
[tex]y - 12 = -3x -12[/tex]
Add 12 to both sides
[tex]y - 12+12 = -3x -12+12[/tex]
[tex]y = -3x[/tex]
3x-2y = 8
solve for y
Answer:
-4+3x/2
Step-by-step explanation:
PLEASE HELP ME!!! I need the answer quick please if you can!
Answer:
angle 1 is 145°
Step-by-step explanation:
this is because à horizontal line is always 180° so you jus have to subtract 35 from 180
if I buy 54 packs of cookies and 15 cookies are in each pack how many cookies do I have all together?!!?!?!
Answer:
810
Step-by-step explanation:
54x15=810.
hope this helps
Step-by-step explanation:
54 x 15 = 810
all you have to multiply
A 4-pound bag of carrots costs $2.48. What is the unit price? *
Answer:
0.62 cents per pound
Step-by-step explanation:
2.48/4
to find price per pound which is the unit price
2.48/4=0.62
brainliest appreciated
Find the length of segment FG.
Answer:
54
Step-by-step explanation:since i helped can i have brainlst please that would be greatly apericated
what is 15^4/15 simplified?
Answer:
15^3
Step-by-step explanation:
Since 15^4 means 15 x 15 x 15 x 15, therefore, just subtract the power 4 from one because you are dividing it by 15:
15^4 / 15 = 15^3
OMG WILL SOMEONE PLEASE HELP I NEED THIS!!!!!!!!!!! I WILL GIVE A LOAD OF POINTS!!! The price for X pounds of almonds at the Snack Shack is represented by y = 6.5x. Which store sell almonds at a lower unit rate cost? How much lower?
c
Step-by-step explanation:
because th x value of 9 will determine rhe shape of s
Round 2,389 to the nearest hundred
Answer:
2,400
Step-by-step explanation:
2,389 rounded to the nearest hundred is 2,400
best buys sells laptops for $422. If the sales tax is 5.5% what is the sales tax of the laptop?
**Write the decimal (this is money, so to the hundredths place
Answer:
$445.21
Step-by-step explanation:
Multiply 422 by .55. Add the answer of 422 times .55 to 422.
Which systems of equations intersect at point A in this graph?
Answer:
The point of intersection of the system of equations is:
(x, y) = (-2, 1)
The correct system of equations intersect at point A in this graph will be:
[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]
Thus, the second option is correct.
Step-by-step explanation:
Given the point
A (-2, 1)Let us check the system of equations to determine whether it intersect at point A in this graph.
Given the system of equations
[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]
Arrange equation variable for elimination
[tex]\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}[/tex]
so
[tex]y+3x=-5[/tex]
[tex]-[/tex]
[tex]\underline{y-4x=9}[/tex]
[tex]7x=-14[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}[/tex]
Solve 7x = -14 for x
[tex]7x=-14[/tex]
Divide both sides by 7
[tex]\frac{7x}{7}=\frac{-14}{7}[/tex]
Simplify
[tex]x = -2[/tex]
For y - 4x = 9 plug in x = 2
[tex]y-4\left(-2\right)=9[/tex]
[tex]y+4\cdot \:2=9[/tex]
[tex]y+8=9[/tex]
Subtract 8 from both sides
[tex]y+8-8=9-8[/tex]
Simplify
y = 1
Thus, the solution to the system of equations is:
(x, y) = (-2, 1)
From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.
In other words, the point of intersection of the system of equations is:
(x, y) = (-2, 1)
Therefore, the correct system of equations intersect at point A in this graph will be:
[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]
Thus, the second option is correct.
PLEASE HELP MEE I NEED TO TURN THIS IN SOON
Answer:
7x=7
Step-by-step explanation:
Susan has just earned her allowance of $10.00. She puts $5.00 in her savings account
at the bank. With the rest of the money, Susan spends $1.75 on candy and buys a toy
for her baby brother for $2.50. How much money does Susan have left?
Answer:
Susan should have 75¢ left.
Step-by-step explanation:
Taking away $5.00 from $10.00 makes $5.00. 5.00-2.50=2.50 and 2.50-1.75=.75
How many groups of 1/4 are in 3?”
Answer: 12
Step-by-step explanation:
A rotating lawn sprinkler sprays water in a circular area of grass as shown in the picture. The diameter of the circular area of grass is 6 feet. How many square feet of water will the sprinkler spray?
Answer:
[tex]9\pi \: \mathrm{ft^2\:or}\: 28.27 \mathrm{\: ft^2}[/tex]
Step-by-step explanation:
The area of a circle is given by [tex]r^2\pi[/tex] where [tex]r[/tex] is the radius of the circle. The diameter is given as [tex]6[/tex] feet, so the radius of this circle is [tex]\frac{6}{2}=3[/tex] feet.
Plugging in our values, we get:
[tex]3^2\pi=9\pi\approx28.27[/tex].
A spinner with the numbers 1 through 8 is spun 25 times. What is the experimental probability of the spinner stopping on the number 4?
Answer: Because if you think about it it would be 4 because of the fact that it is in the middle of 1-8. So there is a higher chance to land on 4 than any other number.
Step-by-step explanation:
The experimental probability of the spinner stopping on the number 4 is 1/25.
What is experimental probability?Experimental probability is a probability that is determined on the basis of a series of experiments.
A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial.
Given that, a spinner with the numbers 1 through 8 is spun 25 times.
we need to find the experimental probability of the spinner stopping on the number 4
So,
Experimental Probability =
P(E) = Number of times an event occurs / Total number of trials.
Number of times an event occurs = 1
Total number of trials = 25
Therefore,
P(E) = 1/25
Hence, the experimental probability of the spinner stopping on the number 4 is 1/25.
Learn more about experimental probability click;
https://brainly.com/question/30694293
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Pls help i dont understand
21 2
—- divide ——
6 3
Answer:
3.3507/ 3.35 (round off)
Step-by-step explanation:
Hope it helps :)
