Answer: Figure 1, Figure 2, Figure 3
Step-by-step explanation:
Blue figure Volume:
[tex](2 *5^{3} ) + (15*5*5) = 625feet^{3}[/tex]
Pink figure volume:
[tex](5^{3})+(5*5*17.5) + (12.5*2.5*5) = 718.75 feet^{3}[/tex]
Green figure volume:
[tex](4*12.5*11) + (2*9*11) = 748 feet^{3}[/tex]
In the following exercises, write the first five terms of the sequence whose general term is given.
240. [tex]a_{n}=7 n-5[/tex]
Answer:
2, 9 , 16 , 23 , 30 ......
Step-by-step explanation:
[tex]a_n = 7n - 5[/tex]
[tex]a_1 = 7*1 - 5 = 7-5 = 2\\\\a_2 = 7*2 - 5 = 14 - 5 = 9\\\\a_3 = 7*3 - 5 = 21 - 5 = 16\\\\a_4= 7*4 - 5 = 28 - 5 = 23\\\\a_5= 7*5 - 5 = 35 - 5 = 30[/tex]
please help!! geometry problem need asap
Answer:
Step-by-step explanation:
1. Adrian invests $10,000 in an account that increases by 8% each year. What is the balance in the account after 15 years?
Answer:
$162000
Step-by-step explanation:
8% of 10000
10000÷100=100×8=800
10000+800=10800
10800×15=162000
At the local nursery, 1/4 of the plants for sale are flowers and another 3/5 of them are bushes. What fraction of the plants for sale are either flowers or bushes?
Answer:
17/20
Step-by-step explanation:
1/4 +3/5 simplify into:
5/20 + 12/20= 17/20
Rewrite 4-3.4-18 using positive exponents.
Answer:
Step-by-step explanation:
4^-3
= 1/4^3
4^-18
= 1/4^18.
Please Help I Don't Understand!
Answer:
the aa similarity postulate
Step-by-step explanation:
no sides are given and we can not simply assume the sides are congruent, however we do know two of the angles on both triangles are the same allowing us to know that the third therefore must also be the same.
both traingles share angle MAN
and AMN and ABC are equal so therefore
angle ANM and ACB must also be the same
what are the solutions to 0=x^2-x+1?
Answer: No solutions
Step-by-step explanation:
There are no solutions to 0 = x² - x + 1.
[Method One]
We can solve this by rewriting the equation, but it is quicker to graph it when there are no solutions. See attached.
[Method Two]
I said we can solve this by solving an equation, here it is. We will use the quadratic formula since the equation given is already in the proper form.
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\displaystyle x=\frac{1\pm\sqrt{(-1)^2-4(1)(1)} }{2(1)}[/tex]
[tex]\displaystyle x=\frac{1\pm\sqrt{-3} }{2}[/tex]
-> Negative numbers don't have real square roots, so there is no solution
Which conditional probabilities are correct? check all that apply. p(d | f) = startfraction 6 over 34 endfraction p(e | d) = startfraction 7 over 25 endfraction p(d | e) = startfraction 7 over 25 endfraction p(f | e) = startfraction 8 over 18 endfraction p(e | f) = startfraction 13 over 21 endfraction
The conditional probabilities that are correct are P(D | F) = 6/34, P(E | D) = 7/25 and P(F | E) = 8/18
How to determine the true conditional probabilities ?The formula to compute the conditional probability P(A|B) is:
P(A | B) = P(A and B)/P(B)
The above means that the probability of event A such that the event B has already occurred
When the above formula is applied to the give data in the complete, we have:
P(D | F) = 6/34
P(E | D) = 7/25
P(D | E) = 7/18
P(F | E) = 8/18
P(E | F) = 8/34
Hence, the conditional probabilities that are correct are P(D | F) = 6/34, P(E | D) = 7/25 and P(F | E) = 8/18
See attachment for complete question
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Answer: a,b,d
Step-by-step explanation:
trust
Please please help !!!!!!!!
Answer:
98°
142°
83°
97°
Step-by-step explanation:
m(arc)JL = 2 × 49° = 98°
m(arc)MJ = 360° - 120° - 98° = 142°
m<KJM = (120° + 46°)/2 = 83°
m<KLM = (360° - 120° - 46°)/2 = 97°
3 pts What is the Slope-Intercept form of the equation of a line that passes through the point (-6, -3) and is parallel to the line y = 2x – 3?
- - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the S.I. form of the equation that passes through (-6,3) and is parallel to y=2x-3?
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
Parallel lines have the same slope.
[tex]\bigstar[/tex] The line y=2x-3 has a slope of 2, therefore, the line parallel to it has a slope of 2.
Now let's write the equation of the new line in point-slope form:-
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
Replace y1 with -3, m with 2, and then write -6 in lieu of x1:-
[tex]\sf{y-(-3)=2(x-(-6)}[/tex]
On simplification,
[tex]\sf{y+3=2(x+6)}[/tex]
On further simplification,
[tex]\sf{y=2x+12-3}[/tex]
Which results in:-
[tex]\sf{y=2x-9}[/tex]
▲ our slope-intercept equation
Good luck with your studies.-- - - - - - - - - - - - - - - - - - - - - - - - -
Need help with this problem
the area of the trapezoid is 40 square millmeter
Answer: what is the question? I will gladly sovle it
Step-by-step explanation:
tell me your questions and i will solve it asap. i know the area is 40 square millmetres but if you have a question i will gladly answer it.
is 3/8 Equivalent to 4/3?
is 4/8 Equivalent to 4/3?
is 6/8 Equivalent to 4/3?
is 7/8 Equivalent to 4/3?
Answer:
all are NO
Step-by-step explanation:
No integer ratio with 8 in the denominator can be equal to any integer ratio with 3 in the denominator.
__
The denominators 8 and 3 are relatively prime, so equivalent fractions using them cannot be formed with integers.
The equivalent to 4/3 has a mixed-number numerator that is greater than 8.
[tex]\dfrac{4}{3}=\dfrac{10\frac{2}{3}}{8}[/tex]
This matches none of the offered choices.
Which sentences represent the inequality? check all that apply. 2.1 (-1.2x) greater-than-or-equal-to 8 the sum of 2.1 and –1.2 times a number is at least 8. the sum of 2.1 and –1.2 times a number is no more than 8. the sum of 2.1 and –1.2 times a number is a maximum of 8. the sum of 2.1 and –1.2 times a number is greater than or equal to 8. the sum of 2.1 and –1.2 times a number is a minimum of 8.
The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.
Inequality functionsInequality are expressions not separated by an equal sign, Given the inequality;
2.1 + (-1.2x) ≥ 8
The sign ≥ means greater than or equal to
The expression 2.1 + (-1.2x) ≥ 8 can also be expressed as 2.1 - 1.2x ≥ 8
The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.
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Answer:
The 1st, 4th, and 5th
Step-by-step explanation:
a A boat is heading towards a lighthouse, where Lillian is watching from a vertical distance of 145 feet above the water. Lillian measures an angle of depression to the boat at point A to be 10°. At some later time, Lillian takes another measurement and finds the angle of depression to the boat (now at point B) to be 68°. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance from point A to point B is 763.752ft.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
A.) The distance between the boat and the lighthouse when the angle of depression is 10°.
Tan(10°) = Height of lighthouse/ distance between the boat and the lighthouse
Distance between the boat and the lighthouse
= 145/Tan(10°) = 822.336ft
B.) The distance between the boat and the lighthouse when the angle of depression is 68°.
Tan(68°) = Height of lighthouse/ distance between the boat and the lighthouse
Distance between the boat and the lighthouse
= 145/Tan(68°) = 58.584ft
The distance between point A and B = 822.336ft - 58.584ft = 763.752 ft
Hence, the distance from point A to point B is 763.752ft.
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Answer:
764
Step-by-step explanation:
Rounded. Just did the question
is (125xy)a binomial or trinomial or monomial or polynomial
Answer:
monomial
Step-by-step explanation:
it is correct
PLEASE ANSWER ASAP!!!!!!!!!!
Step-by-step explanation:
sqrt(5x - 2) <= 3
5x - 2 <= 9
5x <= 11
x <= 11/5
but also : 5x -2 >= 0
otherwise the square root is not valid for real numbers.
5x >= 2
x >= 2/5
so the solution is for all x out of R (real numbers), where
2/5 <= x <= 11/5
please answer asap!!!!!
Answer:
It is B kid you need to study this is basic shhhhhiz
Step-by-step explanation:
Answer:
it is B kid you need to study
The number of 22 cent stamps, n, can be found by solving the equation: 22n + 17(20 − n) = 400
How many 22 cent stamps are in the book?
Answer:
12
Step-by-step explanation:
22n + 17(20 - n) = 400 ← distribute parenthesis and simplify left side
22n + 340 - 17n = 400
5n + 340 = 400 ( subtract 340 from both sides )
5n = 60 ( divide both sides by 5 )
n = 12
there are 12, 22 cent stamps in the book
Evan also has a bag of apples that weighs 3.545 lb is the value of the 5 digit in the tenths place of 3.545 is how many times the value of the digit in the five in the thousands place
Answer:
Yes, it is in the tenth place, and it is 5 thousand is 10,000 times more than the 5 in the tenth place
Step-by-step explanation:
3 = ones place
.5 = tenths place
.04 = hundredths place
.005 = thousandth place
for the second question all you need to do it
5000 divided by .5 = 10000 (because they both have 5, don't try this if there are :example: 4 in the hundreds place to 3 in the one's place).
Answer:
The value of the 5 in the tenths place of 3.545 is 10 times the value of the 5 in the thousandths place
Step-by-step explanation:
i did the end of the year test for k12. good luck on your grade and i hope that this is right!
A flower shop charged $124.44 for 3 bouquets of flowers. This price included a $7.50 service and delivery fee.
What was the cost of one bouquet?
It is believed that the best angle to fly a kite is 30 degrees. If you fly a kite at this angle and let out 200 feet of string, approximately how high above the ground will the kite be?
Answer:
200 feet of the ground at a thirty degrees angle does not make a difference .
u need to know whether it is the top or bottom of it, the kite
28 In the diagram below of circle O, secant ABC and tangent AD are drawn.
If CA=12.5 and CB=4.5 determine and state the length of DA
The length of the side DA from secant theorem is; 10
How to find the length of a Tangent?
From the cyclic diagram attached;
Since CA = 12.5 and CB = 4.5, it means that;
BA = 12.5 - 4.5 = 8
From the secant theorem, we know that;
The product of the secant and its exterior segment is equal to the square of the tangent segment.
Thus;
Length of DA = √(8 * 12.5)
Length of DA = 10
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A triangle has sides with lengths of 4 centimeters, 12 centimeters, and 13 centimeters. Is it a right triangle.
Answer:
No, this isn't a right triangle.
Step-by-step explanation:
To check if the triangle is right we can use Pythagorean Theorem. If the equation turns out as true, the triangle is right.
Pythagorean Theorem
[tex]c^2 = a^2 + b^2[/tex]
c ... hypotenuse
a ... one leg
b ... another leg
The longest side in a right triangle is always hypotenuse, therefore we use the side which is 13 cm long as hypotenuse.
[tex]c^2 = a^2 + b^2\\13^2 = 4^2 + 12^2\\169 = 16 + 144\\169 = 160[/tex]
Number 169 isn't equal to 160 so the equation is false. That means that the triangle is not right.
You've got three circles in line with eachother. Radius = 4cm
Calculate the shaded area and give answer in pi.
The shaded area of the circles that are given will be 32π.
How to calculate area?It should be noted that the area of a circle is calculated by using:
= πr²
where r = 4
In this case, we have two shaded circles. The area will be:
= 2(πr²)
= 2(π × 4²)
= 2(16π)
= 32π
In conclusion, the area is 32π.
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PLS HELP
A bag that holds 9 oranges, 4 plums, and 7 apples. A fruit is drawn at random. What is the probability that it is NOT a plum.
Answer:
80%
Step-by-step explanation:
9 + 4 + 7 = 20
1 out of 20 = 5%
4 plums = 20%
Answer:
4/5 or 80%
Step-by-step explanation:
So u add up all the fruits which is 20. And then then u make a fraction which is all fruits but not plums over all fruits. So it is 16/20. The 16 came from not having the plums bc there are 4 plums and 20 - 4 = 16. Simplified of 16/20 is 4/5 or %80.
How many times can you subtract the number five from 25.
Answer:
one time
Step-by-step explanation:
because after that you would subtract by 20
3 + 4ab+ 4ab - 5b + m
Number of terms:
Coefficients:
Constant terms:
Somebody help me
Answers:
Number of terms: 5Coefficients: 4, 4, -5 and 1Constant term: 3===================================================
Explanation:
Each term is separated by a plus sign or a minus sign. We could rewrite the 4ab-5b portion as 4ab + (-5b) to help get everything separated by a plus sign.
The five terms are
34ab4ab-5bmThe coefficients are the numbers just to the left of the variable. For a term like 4ab, the coefficient is 4. For the term "m", we can think of it as 1m so we can see it has a coefficient of 1.
The constant term is the term that doesn't have any variable attached to it. That would be the "3" as the first term.
i need help please on PART B Thanks
Answer:
(a) 1 and 8
(d) 64 and 125
Step-by-step explanation:
In addition to the cubes of 2 through 11 that you found in question 1, it is convenient to add 1³ = 1 to the list for the purpose of answering this question. The cubes of the first 11 integers are ...
1, 8, 27, 64, 125, 216, 343. 512, 729, 1000, 1331
__
This question is asking you to find the numbers on either side of any that are not on the list:
(a) 2 is between 1 and 8
(d) 100 is between 64 and 125
what is the answer of 6x +3y?
Answer: 3*(2x+y)
Step-by-step explanation: