The sequence an=an−1+2 is an arithmetic sequence
The first three terms in the sequence are (a) 8, 10, 12
How to determine the first three terms?The sequence is given as:
an=an−1+2
Where:
a1 =8
Start by calculating a2 using:
a2=a1+2
This gives
a2=8+2 = 10
Calculate a3 using:
a3=a2+2
This gives
a3=10+2 = 12
So, we have:
a1 = 8, a2 = 10 and a3 = 12
Hence, the first three terms in the sequence are (a) 8, 10, 12
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Write the expression 6
7
12
in radical form.
To write the expression [tex]6 \frac{7}{12}[/tex] in radical form.
To express the radical form in simplest it just means simplifying the radical so that there are further no more square root, cube root etc.
Use the rule:
[tex]a\frac{x}{y}[/tex] = [tex]\sqrt[y]{a^{2} }[/tex]
Apply this rule on the the given expression:
[tex]6\frac{7}{12} = \sqrt[12]{6^{7} }[/tex]
Therefore, the expression in radical form is [tex]\sqrt[12]{6^{7} }[/tex]
SYSTEN
REV.
REF. DWG. OR B/M
DATE:
Adrian and Jeremy are running around a track. It takes Adrian 15 minutes to
run around the track one time. It takes Jeremy 18 minutes to run around the
track once. How many minutes would it take for both boys to return to the
starting point at the same time?
How do I solve this?
Using the least common factor, it is found that it would take 90 minutes for both boys to return to the starting point at the same time.
How do we find the least common factor of two amounts?To find the least common factor, we factor the numbers by prime factors, and then multiply these factors.
The lcm represents the periodicy, that is, when two periodic amounts will be at the same value.
In this problem, the periods are of 15 minutes and 18 minutes, hence:
15 - 18|2
15 - 9|3
5 - 3|3
5 - 1|5
1 - 1
Hence:
lcm(15,18) = 2 x 3 x 3 x 5 = 90.
It would take 90 minutes for both boys to return to the starting point at the same time.
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can anyone help me with this math question
12 boys
hope it helps...!!!
Alice was sitting on a dock looking at a lake. She picked up a stone and through it in the air and out
toward the lake. It seemed like it was in the air for a long time. The equation that can be used to
model the height of the stone (in feet) as it relates to the time in the air in seconds) is given by
h(t) = 5 + 50 - 16t2. In order to solve for how long the stone was in the air, Alice will need to use the
quadratic equation which is:
|-bb4ac
2a
X
A quadratic equation is in the form of ax²+bx+c. The time for which the stone was in the air is 3.526.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
As the height of the stone will be zero or can say that the stone will be at the ground in only two conditions. When the stone will be just thrown and when the stone will complete its flight. Therefore, we can substitute the value of heigh h in the function as 0 to get those two timings.
[tex]h(t) = 5 + 50t - 16t^2\\\\0 = 5+50t - 16t^2[/tex]
Substitute the quadratic equation in the formula of the root of the quadratic function,
[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \dfrac{-50\pm\sqrt{(50)^2-4(-16)(5)}}{2(-16)}\\\\t= -0.089, 3.526[/tex]
Hence, the time for which the stone was in the air is 3.526.
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I need help, if you give answer ASAP I’ll reward a lot of points!!
Answer:
A = 31.875 inches squared
Step-by-step explanation:
Area of a parallelogram is bh
b = 12 and 3/4 is just 12.75 inches
h = 2 and 1/2 is just 2.50 inches
Multiply these together and you get the area,
A = (12.75)(2.50) = 31.875 inches squared
Answer:
31.875 (31.88 rounded)
Step-by-step explanation:
A =b x h
A =12.75 x 2.5
A = 31.875
----------------------
12.75 = 12 [tex]\frac{3}{4}[/tex]
2.5 = 2[tex]\frac{1}{2}[/tex]
Jaime rolls a number cube and spins a colored spinner. The spinner is divided into three equal sections. The tree
diagram shows all the possible outcomes that can occur.
Answer:
Step-by-step explanation:
The mountain in "The Negro Artist and the Racial Mountain" is considered as an obstacle for Negro artists who wish for others to recognize their work. This isn't just part of their job, but it's part of a racial dispute because of their color. Langston Hughes, the author, describes these Negro artists as very talented people. These are also people who believe they can make it big as artists, but they wish to be white to do so. Black artists think they can't be accepted as people, let alone artists. So the mountain in the essay represents a huge obstacle these people have to achieve. That obstacle is being accepted by everyone else, and that includes them looking past their color before appreciating their art.
Hope this helps you!!
PLEASE HELP!!
BRAINLIEST
Answer:
Step-by-step explanation:
BRAINLIEST
If you answer this question right, I'll give you (BRAINLIEST)
A social studies test has 4 true-or-false questions. The following list shows the possibilities for a student's responses to these questions.
TTTT, TTTF, TTFT, TTFF, TFTT, TFTF, TFFT, TFFF, FTTT, FTTF, FTFT, FTFF, FFTT, FFTF, FFFT, FFFF
If a student randomly guesses for all four questions, what is the probability they get all four questions correct?
Enter your answer as a fraction, like this: 3/14
Answer:
1/16
Step-by-step explanation:
To find probiblity all you have to do is divide the number of events by the number of possible outcomes
There are 16 possible outcomes
and there is only 1` way that the student can get all 4 questions right
so the answer is: 1/16
Answer:
1/16
Step-by-step explanation:
Number of possible outcomes = 16
Only one set will be the correct option
P(getting all four questions correct) = 1/16
42+5t=8t
Solve the equation
WHAT DO I DO????!!!
Bill bought a certain food in which there are 300 calories in 100 g of that food. What is the number of calories in a 20 g portion of this food?
Answer:
60
Step-by-step explanation:
If there are 300 calories in 100g of Bill's food, then we can divide 5 on both sides to find the number of calories in a 20g portion of this food: 300/5=60 calories.
-8x+19<-13 Solve inequalities
[tex]~~~-8x +19 < -13\\\\\implies -8x < -13 -19\\\\\implies -8x < -32\\\\\implies x > \dfrac{-32}{-8}\\\\\implies x > 4[/tex]
Take look at this! Please see if you can figure it out. :(
Jeff Claims that the expression -6(2m-4) is equivalent to -12m-4. Is he correct? Explain your answer.
Thank you
Solve for x
3(3x-2)=39
Answer:
3(3x-2)=39
9x-6=39
9x=39-6
9x=33
x=33/9
x=11/3
Answer:
x=5
Step-by-step explanation:
First, distribute the left side. 3(3x-2)=39 3 x 3x=9x 3 x -2=-6 m So, we get 9x-6=39
Next, we add six to both sides. We get 9x=45.
Lastly , we divide both sides by 9 and get x=5.
Plug x=5 into the place where x is to check your work. 3(3(5) - 2)=39
3(15-2)=39 3(13)=39 39=39 Since 39 is equal to 39, the equation is true.
2(x−3) = 2x + 15 how many solutions
Answer:
0
Step-by-step explanation:
2x-6=2x+15
2x-2x=15+6
0x/0=21/0
x=0
three and seven ninths multiplied by five.
Answer:
22
Step-by-step explanation:
Answer:
18 8/9
Step-by-step explanation:
3 7/9 =[ (3*9) + 7] / 9
= 34/9
So we have 5 * 34/9
= 170/9
= 18 8/9.
A rectangular tarp is 2 times as long as it is
wide. Its width is 8 yards. What is the area
of the tarp?
24 sq. yards
hope it helps...!!!
this is really confusing pls help! :)
Simplify 5+1(-24)+(-21×1)
PLEASE HELP!! 20 POINTS!!
Answer:
yea
Step-by-step explanation:
One factor of f (x ) = 5 x cubed + 5 x squared minus 170 x + 280 is (x + 7). What are all the roots of the function? Use the Remainder Theorem.
x = –4, x = –2, or x = 7
x = –7, x = 2, or x = 4
x = –7, x = 5, or x = 280
x = –280, x = –5, or x = 7
The roots of the function f(x) = 5x³ + 5x² - 170x + 280 are given by x = 4, x = 2 or x = -7
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that x + 7 is the root of 5x³ + 5x² - 170x + 280, hence:
(5x³ + 5x² - 170x + 280) / (x + 7) = 5x² - 30x - 40
Hence:
(5x³ + 5x² - 170x + 280) = (x + 7)(5x² - 30x - 40)
= 5(x² - 6x - 8)(x + 7)
= 5(x - 4)(x - 2)(x + 7)
The roots are at:
0 = 5(x - 4)(x - 2)(x + 7)
x = 4, x = 2 or x = -7
The roots of 5x³ + 5x² - 170x + 280 are x = 4, x = 2 or x = -7
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Can someone pls help ?!
Answer:
120 cubed inches
Step-by-step explanation:
5 x (3 x 8)
5 x 24
120
Answer:
Step-by-step explanation:
Volume of rectangular prism = lwh
= 8 * 3 * 5
= 120 cubic inches
X Find the length and width of a rectangle whose width is 10 cm shorter
than its length and whose area is 200 cm squared. What is the SUM of
the length and width?
Answer:30
Step-by-step explanation: length is 20, Width is 20-10 =10
Area = 20×10=200
Find the volume of each sphere. Be sure to include appropriate units.
(Show your work)
Answer:
2145.5m^3
679.2yard
Step-by-step explanation:
v
[tex]volume \: of \: a \: sphere = \frac{4}{3}\pi \: r {}^{3} \\ when \: r = 8 \\ volume = \frac{4}{3} \times \frac{22}{7} \times 8 {}^{3} \\ volume = \frac{4}{3} \times \frac{22}{7} \times 8 \times 8 \times 8 \\ volume = \frac{4 \times 22 \times 512}{3 \times 7} \\ volume = \frac{45056}{21} \\ volume = 2145.5m {}^{3} \\ \\ for \: the \: second \: shape \\ volume = \frac{4}{3} \times \frac{22}{7} \times 5.5 {}^{3} \\ = \frac{4}{3} \times \frac{22}{7} \times 166.373 \\ = \frac{14641}{21} \\ = 697.2yard[/tex]
The PE room at school has a variety of colored balls that can be used to play in the school yard. There are 16 red balls, 12 orange balls, 8 yellow balls, and 11 pink balls.
What is the probability that you are going to get a BROWN ball?
Answer:
0%
Step-by-step explanation:
There are no brown balls, so therefore it is impossible to get one.
2. If you have an average of 82 after 4 math tests, what do you need on the 5th test to increase your average to 85?
a. 88
b. 92
c. 95
d. 97
Answer:
A
Step-by-step explanation:
you dont need much to bring an 82 to an 85
Distributive Property to find (a+8)(a-3)
Answer:
[tex]a^{2} + 5a -24[/tex]
Step-by-step explanation:
For the distributive property, it is like multiplying each term by the other whole group.
For this problem we can set it up like this:
a(a-3) + 8(a-3) =
a^2 - 3a + 8a - 24 =
a^2 + 5a - 24
ANWSER ASAP RIGHT ANWSER GETS BARINLIST
A land snail, a clam, and an octopus all share this body structure:
Question 22 options:
gills
muscular foot
segmented bodies
jointed appendages
Answer:
A muscular foot
Step-by-step explanation:
hope this helps :)
A circle has a circumference of 8 centimeters. What is the circle's
diameter? Use 3.14 for pi and round your answer to the nearest tenth.
PLS HELP!!! No links pls and ty <3
Formula for the Circumference of a Circle = pi x diameter
---The diameter is the same thing as 2 x radius
Circumference = 8
pi = 3.14
Diameter = d
---First, plug in what we know
8 = 3.14 x d
---Divide by 3.14 to get d by itself
d = 8 / 3.14 = 2.54777
---Round to the nearest tenth
d = 2.5 cm
Hope this helps!
d=2.5
Solution:Circumference:C=πd8=πdSince we can't simplify this equation yet, we can divide both sides by 3.14 (which is the same as pi) in order to isolate d:8÷3.14=dd=2.5Hope it helps.
Do comment if you have any query.
Tom makes $296.10 in 6 days. How much does he make in 5 days?
whats 1784 rounded off
Answer:
1780 is the best answer
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE let
Answer:
Depends on which digit r you asking for
thousands: 2000
hundreds: 1800
tenths: 1780
units: 1784