Answer:
189
Step-by-step explanation:
Aidon walked 11 blocks to begin with than he walks 4 blocks to the library and 12 blocks home. This mean we add 11+4+12=27 and a week has 7 days which means we need to multiply that by 7 which gives us the product of 189.
Also, i double checked
For the given function, find the vertical and horizontal asymptote(s) (if there are any). f(x) = the quantity x minus five divided by the quantity x squared minus one
Answer:
Step-by-step explanation:
The function is:
x - 5
f(x) = ---------------
x^2 - 1
Horizontal asymptote: observe that as x grows towards infinity, the function (and graph) approaches y = 0. This is the horizontal asymptote.
Vertical asymptote: These occur whenever the denominator of a rational function becomes zero. Here the vertical asymptotes are x = ± 1.
The angles in a triangle are such that one angle is 85∘ more than the smallest angle, while the third angle is 3 times as large as the smallest angle. Find the measures of all three angles.
Answer:
Step-by-step explanation:
x + x + 85 + 3x = 180
5x + 85 = 180
5x = 95
x = 19°
3(19)= 57°
x + 85 = 19 + 85 = 104°
The angles in a triangle are such that one angle is 85° more than the smallest angle, while the third angle is 3 times as large as the smallest angle. On solving the linear equation, the measures of all three angles are 17°, 51° and 102°.
Linear equation in one variable is an equation with an equals to sign with expressions on either side of it being equal. There must only be one variable. Also, the degree of each term must be one.
Given in the question:
Let the smallest angle be x°
the second angle = (x+85)°
the third angle = 3x°
Sum of all interior angle of a triangle = 180°
The linear equation becomes:
x + (x+85) + 3x = 180
5x + 85 = 180
5x = 95
x = 17°
x + 85 = 17 + 85 = 102°
3x = 17 * 3 = 51°
Learn more about linear equation here
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( 4a + 1 )( 7a 2 - 3a - 5 ) simplified
Answer:
28a³ - 5a² - 23a - 5
Step-by-step explanation:
FOIL and Distribute Parenthesis
Step 1: Write out expression
(4a + 1)(7a² - 3a - 5)
Step 2: Distribute 4a
28a³ - 12a² - 20a
Step 3: Distribute 1
7a² - 3a - 5
Step 4: Combine
28a³ - 12a² - 20a + 7a² - 3a - 5
Step 5: Combine like terms
28a³ - 5a² - 23a - 5
Twenty points :) plz help. The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. Show your work. Convert your answer into scientific notation if necessary: Earth-151.13 Neptune- 4.4764
Answer:
53357.1428571 hours
Step-by-step explanation:
1.494 billion km from Saturn to earth, divided by 28,000
Question
The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. Show your work. Convert your answer into scientific notation if necessary: Earth-151.13 Neptune- 4.4764
Answer
53357.1428571 hours
A bag contains 3 red apples and 6 yellow apples. 3 apples are selected at random. Find the probability of selecting 1 red apple and 2 yellow apple.
Step-by-step explanation:
[tex]number \: of \: ways \: to \: select \: 3 \: out \: of \: 9 = {C}^{9}_3 = 84[/tex]
[tex]ways \: to \: select \: 1red \: and \: 2yellow \: apples \: = {C}^{3}_1 \times {C}^{6}_2 = 3 \times 15 = 45[/tex]
Probability of selecting 1 red and 2 yellow apples = 45 / 84 = 0.53
Simplify the expression (4x^3y^-5)^4
Answer:
64x^12 / y^20
Step-by-step explanation:
(4x^3y^-5)^4
Distribute the exponential value of 4 to all terms in the parentheses.
4^4 * x^(3*4) * y^(-5*4)
Multiply each exponent.
64x^12 * y^-20
Make the negative exponent positive by making it a fraction.
64x^12 / y^20
solve for x: 2+3 (x+2x) = -2x(2-4) +1
Answer:
x = -1/5
Step-by-step explanation:
2+3 (x+2x) = -2x(2-4) +1
Combine like terms
2+3(3x) = -2x (-2) +1
Distribute
2+9x = 4x +1
Subtract 4x from each side
2+9x-4x = 4x+1-4x
2+5x = 1
Subtract 2 from each sdie
5x = 1-2
5x = -1
Divide by 5
5x/5 = -1/5
x = -1/5
2+2995442974346496329869631467646547624672463777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
Answer:
2.9954429743464962e+168
Step-by-step explanation:
5x - 7x + 6 = -2(x - 3)?
Answer: infinite number of answers
Step-by-step explanation:
5x - 7x + 6 = -2(x - 3) Distribute the -2
5x - 7x + 6 = -2x + 6 Combine like terms on the left side
-2x + 6 = -2x + 6 Add 2x to both sides
6 = 6
This means there’s an infinite number of answers. To test this, you could for example plug in 1 and -1. You’d find that they both solve the equation.
June bought three books. For the first book, she paid one half of her allowance plus $1 more. For the second book, she paid one half of her left-over money plus $2 more. For the third book, she paid one half of her left-over money plus $3 more. At this point, she had no money left. How much was her allowance?
Answer:
$34
Step-by-step explanation:
I'd work backwards.
For the third book, she paid all her remaining money. The problem says she paid "1/2 her leftover money + $3". This means that: (let m = money used to buy book 3)
m = 1/2m + 3
1/2m = 3
m = 6
For the second book: (let n = money before book 2)
n - m (money left after book 2) = 1/2n + 2
1/2n +2 is money used up for book, which is the same as n-m.
n = 1/2n + 2 + m
1/2n = 2 + m = 2 + 6
1/2n =8
n = 16
For the first book, she spent 1/2 her money + 1. If o = money before book 1 (or the whole allowance):
o - n = 1/2o + 1
o = 1/2o + n + 1 = 1/2o + 16 + 1
1/2o = 17
o = 34
Check!
Spent 17 (half 34) + 1 on book 1
16 left
Spent 8 (half 16) +2 on book 2
6 left
Spent 3 (half 6) + 3 on book 3
0 left
On a drawing of a model airplane, the scale used is 1 in.:3 ft. How many feet would 4.5 inches represent?
A.13.5ft
B.6.5ft
C.1.5ft
D.4.5ft
Answer:
A. 13.5ft
Step-by-step explanation:
8. Solve for y. **THINK! a) what type of angles do you have? b) what is their
relationship (add up to 90, add up to 180, or congruent)? c) set up an equation
and solve *
Answer:
a. Linear pair (supplementary)
b. Add up to 180°
c. [tex] y = 20 [/tex]
Step-by-step explanation:
78° and (5y + 2)° are a linear pair. They are supplementary, and add up to 180°.
Therefore, the following equation expresses their relationship:
[tex] 78 + (5y + 2) = 180 [/tex]
Solve for y
[tex] 78 + 5y + 2 = 180 [/tex]
[tex] 78 + 2 + 5y = 180 [/tex]
[tex] 80 + 5y = 180 [/tex]
Subtract 80 from both sides
[tex] 80 + 5y - 80 = 180 - 80 [/tex]
[tex] 5y = 100 [/tex]
Divide both sides by 5
[tex] \frac{5y}{5} = \frac{100}{5} [/tex]
[tex] y = 20 [/tex]
Translate and solve: 518% of what number is 3885?
Answer:The answer is 750
Step-by-step explanation:3885 of 750 can be written as:
3885/ 750
To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100
3885/750 × 100/100= (3885 × 100) over 750) × 1 over 100= 518/100
Therefore, the answer is 518%
If you are using a calculator, simply enter 3885÷750×100 which will give you 518 as the answer.
11. Emma has been offered a job that pays $36.950 for working a 52-week year
training software users. What average amount does the job pay per month? per
week?
2.84 per month, 0.71 per week
Step-by-step explanation:
52/4 =13 months
36.95/15=2.84
31.95/52 = 0.71
A health and fitness club surveys 40 randomly selected members and found that the average weight of those questioned is 157 lb. Is this average an example of a statistic or a parameter?
A) Parameter
B) Statistic
Answer:
B. Statistic
Step-by-step explanation:
The average weight of those questioned which is 157 lb. from the survey of 40 randomly selected member of a health and fitness club is an example of a statistic.
It is a calculated numerical value that characterises some aspects of a sample set of data.
Statistic refers to a numerical piece of information that uses quantified models, representations and synopses for a given set of a study. Statistic is used to to estimate the true value of a parameter in a population.
Amanda has a recipe that requires 3 1/2 cups of milk. If she is only making 2/3 of the recipe, how many cups of milk will she need?
Answer:
2 1/3
Step-by-step explanation:
She will need 2/3 of 3 1/2:
(2/3)(3 1/2) = (2/3)(3) +(2/3)(1/2) = 2 + 1/3
Amanda will need 2 1/3 cups of milk.
Which shows all the factors for 36?
1, 2, 3, 4, 6, 9, 12, 18, 36
1, 2, 3, 4, 9, 12, 18, 36
2, 3, 4, 6, 9, 12, 18
1, 2, 3, 4, 8, 12, 18, 36
Answer:
1, 2, 3, 4, 6, 9, 12, 18, 36
Hope it helps.
Please mark it as Brainliest.
Find the unknown. Identify the property that completes the number sentence. 24 + ___ = 18 + 24 Need a Hint? 18; Commutative Property of Addition 18; Associative Property of Addition 18; Identity Property of AdditionNEED A ANSWER RIGHT NOW!!!!!!
Answer: 18
Step-by-step explanation:
24+18= 42, and so does 18+24
;)
A bicycle is traveling at 20 miles per hour.
How many feet will it cover in 55 seconds?
Round your answer to the nearest tenth of a foot.
Answer:
1613.3 feetStep-by-step explanation:
Given the conversion 1mile = 5280feet
If a bicycle is traveling at 20 miles per hour, then the bicycke must have been travelling at (20*5280)feet per hour which is equivalent to 105,600 feet per hour.
To know the number of feet that will be covered in 55seconds, we will solve the equality operation;
If 105,600 feet = 1hour (3600secs)
x foot = 55secs
where x is the amount of feet it will cover in 55 seconds?
Cross multiply
3600 * x = 105,600*55
3600x = 5,808,000
divide both sides by 3600
3600x/3600 = 5,808,000/3600
x = 1613.3 feet (to the nearest tenth)
Hence the amount of feet covered in 55seconds to the nearest tenth is 1613.3 feet
Triangle△ABC is rotated -120 about point P to create △ABC
NEED HELP FAST!! A group of students performed an experiment to prove the law of conservation of energy. In the experiment, a flask containing water at room temperature was shaken vigorously for a few minutes. The table shows a partial record of the temperature of the water before and after shaking. Experimental Record Temperature Before Shaking 20 °C After Shaking Unknown What best predicts the unknown temperature? A- Less than 20 °C because the total energy of the system after shaking is lower B- Greater than 20 °C because the total energy of the system after shaking is higher C- Less than 20 °C, because the mechanical energy from shaking transforms to thermal energy D -Greater than 20 °C, because the mechanical energy from shaking transforms to thermal energy
Answer:
I think option D is the answer.
Answer:
D
Step-by-step explanation:
true answer ;)
8(−5d−9)−3(−6d+10) in simplest terms?
Answer:
-22d+42
Step-by-step explanation:
-40d+72+18d-30=-22d+42
Please help me out thank you
Answer:
(-0.0008)^0 =11291^1 =1(1/3)^0 = 1Step-by-step explanation:
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^0=1,\:\\\\(-0.0008)^0 = 1\\\\1291^0 =1\\\\-(-3141)^0 = -1\\\\-(\frac{5}{8} )^0 =-1\\\\0^1 = 0\\\\(\frac{1}{3} )^0 = 1\\[/tex]
what is 3 2/3 as a fraction
Answer:
[tex]\frac{11}{3}[/tex]
Step-by-step explanation:
[tex]3\frac{2}{3}[/tex]
3 * 3 = 9
So we add 9 to the top which is 2
9+2 = 11
ta da
11/3
Hope this helps!!! :)
pls mark brainliest
Answer:
3 2/3= 11/3
Step-by-step explanation:
Work to prove it:
Step 1
Multiply the denominator by the whole number
3 × 3 = 9
Step 2
Add the answer from Step 1 to the numerator
9 + 2 = 11
Step 3
Write answer from Step 2 over the denominator
11/3
If this helps please mark me the brainiest
A circle is defined by x^2+y^2+2gx+2fy-15=0. The gradient of the tangent to the circle at the point (3,2) is -1/2. Find the value of g and f
Answer:
(g, f) = (-1, 2)
Step-by-step explanation:
The equation can be put into standard form:
(x^2 +2gx) +(y^2 +2fy) = 15
(x^2 +2gx +g^2) +(y^2 +2fy +f^2) = 15 +g^2 +f^2
(x +g)^2 +(y +f)^2 = 15 +g^2 +f^2 . . . . equation in standard form
The point (3, 2) is on the circle, so one of the equations we have is ...
(3+g)^2 +(2 +f)^2 = 15 +g^2 +f^2
9 +6g +g^2 +4 +4f +f^2 = 15 +g^2 +f^2
6g +4f = 2 . . . . . . . subtract g^2 +f^2 +13
3g +2f = 1 . . . . . . . divide by 2
__
A line through the center of the circle is perpendicular to the tangent at the point of tangency. That line will have a slope that is the negative reciprocal of the tangent's slope: m = -1/(-1/2) = 2. Then in point-slope form the equation of the line through the center is ...
y -2 = 2(x -3)
2x -y = 4 . . . . rearrange to standard form
The point at the center of the circle, (-g, -f), satisfies this equation, so we have another relation for f and g:
2(-g) -(-f) = 4
2g -f = -4 . . . . . . multiply by -1
Adding twice this equation to the one above, we have ...
2(2g -f) +(3g +2f) = 2(-4) +(1)
7g = -7 . . . . . . . . . simplify
g = -1 . . . . . . . . . . divide by 7
f = 2g +4 = 2(-1) +4 = 2 . . . find the corresponding value of f
The values of f and g are: f = 2 and g = -1.
you are making lemonade to sell at the trck meet. according to the recipe, you need 12 ounces of lemon juice for every 240 ounces of sugar water. You have 16 ounces of lemon juice. How many ounces of sugar water do you need?
At the farmers market 2 pounds of peaches cost $4.20 how much will 4 pounds cost
Answer:
$8.4
Step-by-step explanation:
2 pounds of peaches cost $4.20
1 pound of peaches costs = 4.20 /2
4 pounds of peaches cost =[tex]\frac{4.20 *4}{2} \\8.4[/tex]
4 pounds of peaches cost $8.4
Find the area of the triangle below. Be sure to include the correct unit in your answer.
Answer:
54cm²
Step-by-step explanation:
Area=1/2bh
=1/2(18)(6)
=54cm²
find the solutions of the quadratic equation 5x^2 +3x+1=0
Answer:
The answer is
[tex]x = - \frac{3}{10} + \frac{ \sqrt{11} }{10} \: i \\ \\ \: OR \\ \\ x = - \frac{ 3}{10} - \frac{ \sqrt{11} }{10} \: i[/tex]Step-by-step explanation:
5x² + 3x + 1 = 0
Using the quadratic formula
[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]From the question
a = 5 , b = 3 , c = 1
Substitute the values into the above formula and solve
That's
[tex]x = \frac{ - 3\pm \sqrt{ {3}^{2} - 4(5)(1) } }{2(5)} \\ x = \frac{ - 3\pm \sqrt{9 - 20} }{10} \\ x = \frac{ - 3\pm \sqrt{ - 11} }{10} \\ x = \frac{ - 3\pm \sqrt{11 } \: i}{10} \\ x = \frac{ - 3 + \sqrt{11} \: i}{10} \: \: or \: \: \: x = \frac{ - 3 - \sqrt{11} \: i}{10} [/tex]Separate the real and imaginary parts
We have the final answer as
[tex]x = - \frac{3}{10} + \frac{ \sqrt{11} }{10} \: i \\ \\ x = - \frac{ 3}{10} - \frac{ \sqrt{11} }{10} \: i[/tex]The equation has complex roots
Hope this helps you
PLEASE HELP ME !!!! What is the value of |-25| ?
Answer: 25
Step-by-step explanation: The absolute value is the distance between a number and zero. The distance between − 25 and 0 is 25
Answer:
[tex]\Huge \boxed{25}[/tex]
Step-by-step explanation:
[tex]|-25|[/tex]
The absolute value of a number is the distance of that number from zero.
Applying absolute value rule : [tex]|-a|=a[/tex]
[tex]|-25|=25[/tex]