100 POINT!!!!!
A boating company has the following notice at the gate:
"Children under the age of 13 are not allowed to operate a boat".
Part A- Write an inequality to show the age of children who are allowed to operate a boat.
Part B- Describe in words how you can show the solution to this inequality of a number line.
Answer:
Part A:
x > 13
Part B:
How to show this inequality on a number line is a closed circle on 13, going left of 13.
Step-by-step explanation:
Part A:
x represents the age of children who are allowed to operate the boat.
Our inequality is < because if you are of the age of 13 you are allowed to operate the boat,
the inequality x > 13 reads x (the age of children) is greater than or equal to 13
Part B:
How to describe inequalities on a number line;
Closed circle: less than or equal to - or - greater than or equal to ( < , > )
Open circle: less than - or - greater than ( < , > )
To the right of the number on the number line: greater than
To the left of the number on the number line: less than
Answer:
Part A
Let x = age of child (in years)
Given:
"Children under the age of 13 are not allowed to operate a boat"
Therefore, children should be 13 or older:
⇒ x ≥ 13
Part B
Place a closed circle at 13.
Shade to the right of the closed circle.
F(5)=12 for a geometric sequence that is defined recursively by the formula f(n)=0. 3*f(n-1), where n is an integer and n>0. Find f(7) Round your answer to the nearest hundredth
Answer:
f(7) = 1.08
Step-by-step explanation:
The recursive formula can be used with the given value to find the desired value.
__
Given:
f(n) = 0.3×f(n-1) . . . . . where f(5) = 12
The next term in the sequence is ...
f(6) = 0.3×f(5) = 0.3(12) = 3.6
f(7) = 0.3×f(6) = 0.3(3.6) = 1.08
The following table shows the first segment of a five-year amortization schedule. a 5-year amortization schedule. the amount of interest paid for months 1 through 12 are: 99.03, 97.73, 96.42, 95.10, 93.78, 92.44, 91.09, 89.73, 88.36, 86.98, 85.58, 84.18. after one year of payments, how much has been paid to interest? a. $1,100.42 b. $1,010.16 c. $1,188.34 d. $1,241.18
After one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.
What is a loan amortization schedule?It is defined as the systematic way of representation of loan payments according to the time in which the principal amount and interest mentioned in a list manner.
We have a table given that showing a first segment of a five-year amortization schedule that has a 5-year amortization schedule and the amount of interest paid for months 1 through 12.
As the loan amount is not mentioned in the question, we are assuming the loan amount is $1184.6
Therefore, loan amount = $1184.6
The outstanding amount at the end of one year, which is 12 months, is shown in the table as $84.18
After one year of payments, the amount need to be paid to interest:
= Loan amount - Outstanding amount after 12 months
= 1184.6 - 84.18
= $1100.425
Thus, after one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.
Learn more about the amortization schedule here:
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a basketball team torunament has 9 teams. every team will place against another team. how many games will there be
Answer:
72 games in total
Step-by-step explanation:
hope this helps :)
A die is rolled eight times. What is the
probability of getting exactly three 6's?
Answer:
0.1042, 10.42%
Klaudia can swim five laps in the city pool every two and a half minutes If she swims for half an hour every day, how many laps does she swim every four days?
Answer:
240
Step-by-step explanation:
30/2.5 = 12 minutes, 12*5 = 60 laps per thirty minutes. 60 * 4 days = 240 laps
Using the distributive property, marta multiplied the binomial (2x 3) by the trinomial (x2 x – 2) and got the expression below. (2x)(x2) (2x)(x) (2x)(–2) (3)(x2) (3)(x) (3)(–2) which is the simplified product? 2x3 6x2 – x – 6 2x3 x2 – x – 6 2x3 5x2 – x – 6 2x3 – x2 – 7x – 6
An expression is defined as a set of numbers, variables, and mathematical operations. The simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The simplified product of the binomial (2x+3) and the trinomial (x²+x-2) can be written as,
[tex](2x+3)(x^2+x-2)\\\\= (2x \times x^2)+(2x \times x) + (2x\times -2) + (3\times x^2)+(3\times x)+(3\times -2)\\\\= 2x^3 + 2x^2-4x+3x^2+3x-6\\\\= 2x^3+5x^2-x-6[/tex]
Thus, the simplified product of (2x+3)(x²+x-2) is (2x³+5x²-x-6).
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If my heart beats 2790 times every three quarters of an hour, what is your heart rate per minute?
Your heart rate is the number of times each minute that your heart beats, which is normally between 60 and 100 times per minute for adults. Your pulse is a way you can feel each time your heart beats. Measuring your heart rate helps you monitor your own health and know if you’re exercising at the right level to get the most benefits to your health.
Your pulse is your heart rate, or the number of times your heart beats in one minute. Pulse rates vary from person to person. Your pulse is lower when you are at rest and increases when you exercise (more oxygen-rich blood is needed by the body when you exercise). Knowing how to take your pulse can help you evaluate your exercise program.
PLS HELP ME, I NEED THE STEP BY STEP ONE
Answer: 6, 6, 15, 6, 15, 12, 3 , 15, 1
Step-by-step explanation: I have shown in the file two ways to calculate HCF. That's the answer from 1-9 above.
An example with number 6.
36= 12×3
24=12×2
60=12×5
HCF is 12. The highest number that can divide them all
If f(x) = |x| 9 and g(x) = –6, which describes the range of (f g)(x)?
The range of the functions f(x) = |x| 9 and g(x) = –6 then (f+g)(x) will be equal to (f+g)(x)[tex]\geq[/tex]3 for all the values of x.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
It is given that
[tex]f(x)=|x|+9[/tex]
[tex]g(x)=-6[/tex]
So now
[tex](f+g)(x)=|x|+9-6=|x|+5[/tex]
So from the above equation, we can see that (f+g)(x) describes the range (f+g)(x)[tex]\geq[/tex]3
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Answers 76:
Step-by-step explanation:
which unit would be best to measure the length of a whale
what is m ∠3 if m ∠2 = 75 what is m ∠3
Answer:
115
Step-by-step explanation:
What is y=3/4x-2 I need help ASAP please
Answer: [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The equation is in the slope-intercept format of y=mx+b
In this format the slope is m
In this case m is [tex]\frac{3}{4}[/tex]
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the
CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have
been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a
possible investment.
What is the annual interest you would earn on each bond?
Answer:
$3172.50
Step-by-step explanation:
Answer:
Step-by-step explanation:
C
please help me. I would like an answer for this.
Answer:
Step-by-step explanation:
so cross divide so 5 and 2
Answer: it equals as a fraction 41/5 as a decimal equals 8.2
Step-by-step explanation: hope I helped you . Please give brainliest . Thanks .
The radius of a circle is 4 yards. What is the circle's circumference?
r=4 yd
Use 3.14 for .
Answer:
25.12 yd
Step-by-step explanation:
Radius (r) = 4 yd
π = 3.14
Circumference of the circle
= 2πr
= 2 × (3.14) × (4)
= 25.12 yd
_________
Hope it helps ⚜
Answer:
25.12 yards
Step-by-step explanation:
Circumference formula : 2πr
r = radiusSolving
C = 2πrC = 2 x 3.14 x 4 [given π = 3.14 and r = 4]C = 3.14 x 8C = 25.12 yards16.) a) A group of college students are volunteering for Help the Homeless during their
spring break. They are putting the finishing touches on a house they built. Working
alone, Irina can paint a certain room in 5 hours. Paul can paint the same room in 10
hours. How many hours will it take them to paint the room?
bl Raul
Answer:
[tex]3\frac{1}{3}[/tex] or [tex]\frac{10}{3}[/tex]
Step-by-step explanation:
We could use the combined rate equation to find the combined rate of work.
Combined rate of work formula: [tex]\frac{1}{t_{b}} = \frac{1}{t_{1} } + \frac{1}{t_{2} }[/tex], where [tex]t_{1}[/tex] is the individual time for object A, [tex]t_{2}[/tex] the individual time for object B and [tex]t_{b}[/tex] is the time for A and B together.
The time it takes Irina to paint the room alone, [tex]t_{1}[/tex] = 5 hours
The time it takes Paulo to paint the room, [tex]t_{2}[/tex] = 10 hours
1) Substitute object A (Irina) and B (Paulo) into the formula given above, and change [tex]t_{b}[/tex] into an [tex]x[/tex].
[tex]\frac{1}{{x}} = \frac{1}{5 } + \frac{1}{10 }[/tex]
2) Add the fractions.
[tex]\frac{1}{x} = \frac{3}{10}[/tex]
3) Solve for the [tex]x[/tex].
[tex]x(3) = 1(10)\\3x = 10\\x = \frac{10}{3} \\[/tex]
4) Change them into a mixed fraction.
[tex]3\frac{1}{3}[/tex]
Note: [tex]\frac{10}{3}[/tex] or [tex]3\frac{1}{3}[/tex] are both correct. Write the answer according to the question. In this case, there is no specific rule, so I choose [tex]3\frac{1}{3}[/tex].
Pleaseeeee helpppp meee :)))
A. 51
Step-by-step explanation:
Virtical angles are congruent
50 points please help thank you
Step-by-step explanation:
angle 3 = 58
so angle 5 = 58 too
angle 7 = 180 - angle5 - angle6
= 180- 58 -90
= 32 degree
The length of a rectangular frame is represented by the expression 2x + 10, and the width of the rectangular frame is represented by the expression 2x + 6. Write an equation to solve for the width of a rectangular frame that has a total area of 140 square Inches.
A: 4x^2+32x-80=0
B: 4x^2+32x+60=0
C: 2x^2+32x-80=0
D: x^2+16x+60=0
Answer:
A
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
= (2x + 10)(2x + 6) ← expand using FOIL and equate to 140
= 4x² + 12x + 20x + 60 = 140
= 4x² + 32x + 60 = 140 ( subtract 140 from both sides )
4x² + 32x - 80 = 0
Answer:
A: 4x² + 32x - 80 = 0
Step-by-step explanation:
Length = 2x + 10 inWidth = 2x + 6 inArea = 140 in²Formula
Area (rectangle) = Length x WidthSolving :
140 = (2x + 10)(2x + 6)2x(2x) + 10(2x) + 2x(6) + 10(6) = 1404x² + 20x + 12x + 60 = 1404x² + 32x - 80 = 0The correct option is AEasy riddle. multiple choice
There are 32 dogs in total.
There are 12 more dogs with black spots than dogs with white spots.
How many dogs with black spots are there?
a) 14
b) 20
c) 22
d) 16
Answer:
The answer is C.
Step-by-step explanation:
(32-12)/2= 10
10+12= 22
Average Tim correctly answers 12 out of 18 questions in a trivia game assuming the situation is proportional how many more questions is he likely to get correct if there are 30 questions and all
Answer:
Step-by-step explanation:
12/18= 2/3, that’s the ratio of how many questions he gets right compared to total questions
So if there are 30 questions total, he will get 20 right (30 x 2/3)
If you’re taking into consideration that he already answered 18 questions, he will get 8 more correct
When it is 11:30 a.m. in dublin, it is 2:30 p.m. in moscow. how far ahead of dublin is moscow? a. 3 hours b. 5 hours c. 9 hours d. 15 hours
If the average of 8, 11, 25, and p is 15, then 8 + 11+ 25 + p =
1)16
2)44
3)56
4)60
5)64
Answer:
44,15,29
Step-by-step explanation:
8 + 11 + 25 + p=
simplify
44 + p
8 + 11 + 25 + p = 15
p=29
but your real answer for p is p= 44
please help me, ive been on this for ages
The picture isin't clear can you write it
What is the distance between (-5,8) and( 6,8)
Answer: 11
Step-by-step explanation:Since the y coordinates are the same, the distance is the values between the x coordinates 6 - -5
6+5
11
3x=1/2y
circle the ratio x:y
Answer:
1:6 is the answer
Step-by-step explanation:
If X is equal to 1, Y would equal 6...
Because X is /3 of half of Y
so if Y is 6 then divide by 2 then divide by 3 to get 1
the reverse... (X x 3) x 2 = Y
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
The area of the rectangle below is greater than or equal to 18.13 square units. The inequality 3.7w ≥ 18.13 represents this
situation?
25 points to anybody who can solve this pls!
Answer:
Q' (2,4)
R' (3,1)
S' (5,3)
Step-by-step explanation:
When reflected across x-axis, the x-values stay the same but y-values change signs. Because you count how many points till the reflection line then same amount you have to go to the other side. But since it is saying x-axis, the reflection line is on x=0 so you just change the sign.
Answer:
Q=(2,4)
R=(3,1)
S=(5,3)
Step-by-step explanation:
The x value stays the same when reflecting in the x axis
And the y value would be an equal distance from the y-axis for all coordinates so you would make -4 into 4 ecause they are both 4 away from the y-axis line.
Please give brainliest :)
Can some help me i dont know the awnser