At the ski shack, customers can rent,skis, snowboards, boots, and poles by the day Mrs.Alvarez is renting skis and poles she has a 18$ coupon off
which expression represents the total cost for Mrs.Alvarez to rent skis for s days and poles for p days
If the answer you asked is this:
48s+12p-18 the correct answer
A, C, and D are point on a circle of a radiu 4cm, centre O.
BA and BC are tangent to the circle.
OB = 10cm
Work out the length of arc ADC.
Answer:
Step-by-step explanation:
OB = 10 cm
OA = OC = Radius = 4 cm
COS <AB = OA/OB = 4/10 = 2/5 =
COS< COB = OC/OB = 4/10 = 2/5
=> <AOC = <AOB + <COB
=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)
=> <AOC = 2 Cos-¹(2/5)
=> <AOC = 2 * 66.42
=> <AOC = 132.84°
if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm
if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm
A triangle has two sides of length 18 and 13 What is the smallest possible whole-number length for the third side?
Simplify: 5x – 12y + 8x + 2xy + 4xy
Answer:
13x-12y+6xy
Step-by-step explanation:
To make this easier, we can rearrange these terms, and get
5x+8x-12y+2xy+4xy.
x and y just represent variables, so we can combine 5x and 8x to get 13x, and we can combine 2xy and 4xy to get 6xy.
Now we have 13x-12y+6xy, and nothing else can be combined.
The price of a gallon of milk was $2. 65. The price rose y dollars after the last hurricane. Then the price dropped $0. 15 and later rose again by $0. 5. Which expression represents the current price of milk?.
The expression represents the current price of milk is 3 + y in dollars
The initial price of a gallon of milk = $2.65
The price rose y dollars after the last hurricane
Then the expression will be
2.65 + y
Then the price dropped $0. 15
2.65 + y - 0.15
Add the terms
2.65 + y - 0.15 = 2.5 - y
later rose again by $0. 5
2.5 + y + 0.5
Add the terms in the expression
2.5 + y + 0.5 = (2.5 + 0.5) + y
= 3 + y
Current price of milk = 3 + y in dollars
Hence, the expression represents the current price of milk is 3 + y in dollars
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If a jogger runs 2 miles and burnes 185 calories, how many calories would he burn jogging 3 miles?
Answer:
Divide the calories by 2 to get the amount for 1 mile the multiply that by 3 to get your answer which is 277.5 calories
Step-by-step explanation:
1/3(12 - 9w) Use the distributive property to remove the parentheses.
Simplify your answer as much as possible.
Answer:
Step-by-step explanation:
1/3(12) - 1/3(9w)
4 - 3w
Which ordered pair is not a solution to the inequality y ≥ 2x2 − 4x + 2?
The ordered pair that is not a solution to the inequality y ≥ 2x² - 4x + 2 is given as follows:
(-1,6).
How to obtain which ordered pair is not a solution to the inequality?The inequality is presented as follows:
y ≥ 2x² - 4x + 2.
Then for each pair, the numeric value is calculated, replacing x and y by it's respective coordinates, and when a false statement is generated, the ordered pair is not a solution to the inequality.
For the first ordered pair, (-1, 6), the numeric value of the inequality is given as follows:
6 ≥ 2(-1)² - 4(-1) + 2
6 ≥ 8.
Which is a contradiction, hence it is not a solution to the inequality.
For the pair (1,0), we have that:
0 ≥ 2(1)² - 4(1) + 2
0 ≥ 0.
Which is true, hence it is a solution.
For the pair (0,3), we have that:
3 ≥ 2(0)² - 4(0) + 2
3 ≥ 2
Hence it is also a solution.
For the pair (2,5), we have that:
5 ≥ 2(2)² - 4(2) + 2
5 ≥ 2
Hence it is also a solution.
Missing InformationThe problem is given by the image shown at the end of the answer.
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pre calc question...pls help
[tex]{\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ f(-4)=1\hspace{5em}1=ab^{-4}\implies 1=\cfrac{a}{b^4}\implies b^4=a \\\\[-0.35em] ~\dotfill\\\\ f(4)=69\hspace{5em}69=ab^4\implies \stackrel{\textit{substituting from the 1st equation}}{69=(b^4)b^4\implies 69=b^8} \\\\\\ \sqrt[8]{69}=b\implies (69)^{\frac{1}{8}}=b \\\\[-0.35em] ~\dotfill[/tex]
[tex]y=\sqrt{69}\left( (69)^{\frac{1}{8}} \right)^x\implies \boxed{y=\sqrt{69}(69)^{\frac{x}{8}}} \\\\\\ \textit{when x=6.5, what is "y"?}\qquad y=\sqrt{69}(69)^{\frac{6.5}{8}}\implies y\approx 1522.73[/tex]
………………………………………………..
Answer:
62, 78
Step-by-step explanation:
248:4
you want to know
x:1 (hour)
you can do that by dividing by 4 which gives
248/4 = 62
for 2 it's the same, divide by four
Answer:
1- 62 miles per our
2- 78 calories per serving
Jacy went on a bike ride of 60 miles. He realized that if he had gone 10 mph faster, he would have arrived 8 hours sooner. How fast did he actually ride?
Answer:
Let r be the rate at which he travels and t be the time.
Then, rt = 60
If he travels 8 mph faster, he arrives 10 hours sooner, so
(r+8)(t - 10) = 60
Multiplying, rt - 10r + 8t - 80 = 60
Substituting rt = 60, we get
60 - 10r + 8t - 80 = 60
Then, 8t = 10r + 80
t = 5/4r + 10
Substitute this into rt = 60
r(5/4r + 10) = 60
5/4r^2 + 10r - 60 = 0
Multipling by 4/5
r^2 + 8r - 48 = 0
(r + 12)(r - 4) = 0
r = -12, 4
A negative solution does not make sense
Thus, r = 4 4 mph is the solution.
Checking, rt = 60, so 4t = 60, and t = 15
Showing that this meets the other condition,
(r+8)(t - 10) = (4+8)(15-10) = 12 * 5 = 60
It checks.
one lap of a running track is 350m Kyle jogs 5 complete laps at an average speed of 5 m/s how long does it take him in seconds
Answer:
350 seconds to jog 5 laps.
Step-by-step explanation:
One lap of a running track is 350m Kyle jogs 5 complete laps at an average speed of 5 m/s. How long does it take him in seconds?
First, to run one lap:
350m / 5 meters per second = 70 seconds
Now, solve for five laps:
70 seconds * 5 laps = 350 seconds to jog 5 laps.
A ub-contracted job pay $23. 50 for 25 hour of work. How much money doe it pay per hour?
The sub contractor pays $0.94 per hour for the work .
In the question ,
it is given that ,
the amount paid by the contractor for 25 hours of work = $23.50
We need to find the amount paid by the contractor for 1 hour .
The per hour pay can be calculated using the formula ,
amount paid per hour = (amount paid for 25 hours)/( number of hours)
substituting the values ,we get
So , the amount paid by the contractor for 1 hour of work = 23.50/25
= $0.94
Therefore , The sub contractor pays $0.94 per hour for the work .
The given question is incomplete , the complete question is
A sub-contracted job pay $23. 50 for 25 hour of work. How much money does it pay per hour ?
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What is the percent of chloride ion in a sample if 2. 500 g of the sample produces 1. 750 g of agcl when treated with excess ag⁺? report your answer to two decimal places.
The percent of chloride ion in a sample if 2. 500 g of the sample produces 1. 750 g of AgCl when treated with excess ag⁺ is 17.2%
The percent of chloride can be calculate as follow:
Mass of AgCl precipitated = 1.750 g
Molar mass of AgCl = 143.32 g/mol
Molar mass of Chlorine atom = 35.45 g/mol
Asume, all the chlorine in the sample is precipitated to silver chloride. So, the mass of chlorine in silver chloride will be equal to the mass of chlorine present in the sample.
To calculate the mass of chlorine in given mass of AgCl, we apply unitary method:
In 143.32 g of silver chloride, mass of chlorine present is 35.45 g
So, in 1.3487 g of silver chloride, mass of chlorine present will be =
35.45g/143.32 g * 1.750 g = 0.43 g
To calculate the percentage composition of chlorine in pure chloride compound, as follows:
Mass of pure chloride compound = 2.500 g
Mass of chlorine = 0.43 g
% Chlorine = 0.43/2.5 *100
% Chlorine = 17.2 %
Therefore, the mass percentage of chloride in pure chloride compound is 17.2%
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What is zero divided by zero????? I NEED TO KNOW!!!!!!
Answer: Error
Step-by-step explanation: Its impossible to divide by zero.
Answer:
0
Explanation Anything divided by zero is zero
What is an equation of the line that passes through the point (−3,−1) and is perpendicular to the line x-2y=6?
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]x-2y=6\implies -2y=-x+6\implies y=\cfrac{-x+6}{-2} \\\\\\ y-\cfrac{-x}{-2}+\cfrac{6}{-2}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x-3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1}\implies -2}}[/tex]
so we're really looking for the equation of a line whose slope is -2 and that it passes through (-3 , -1)
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ - 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{- 2}(x-\stackrel{x_1}{(-3)}) \implies y +1= -2 (x +3) \\\\\\ y+1=-2x-6\implies {\Large \begin{array}{llll} y=-2x-7 \end{array}}[/tex]
What is the equation in point-slope form of a line that passes through the points (5, −3) and (−2, 9) ?
y−3=−2(x+5)
y+3=−127(x−5)
y+3=−2(x−5)
y−3=−127(x+5)
The equation in point-slope form of a line that passes through the points (5, −3) and (−2, 9) is
y + 3 = -12/7(x - 5)
Given, a line that passes through the points (5, −3) and (−2, 9).
Now, we have to find the equation of the line in point-slope form.
As, we know to find the equation of a line,
(y - y1)/(x - x1) = (y1 - y2)/(x1 - x2)
Now, using the above formula, we get
(y + 3)/(x - 5) = (-3 - 9)/(5 + 2)
(y + 3)/(x - 5) = -12/7
On cross-multiplying, we get
y + 3 = -12/7(x - 5)
Hence, the equation in point-slope form of a line that passes through the points (5, −3) and (−2, 9) is
y + 3 = -12/7(x - 5)
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Which of the following is equivalent to -4 + 5x ≤ 16 ?
Answer:
Step-by-step explanation:
m n
Find the slope (m) and the y-intercept (b) of each line. Simplify your answers. Use the slope-intercept form of a linear equation: y = mx + b
y = -x
m =
/
b =
Answer:
slope = -1, y-intercept = is n/a. The line is vertical since the y intercept was not given.
w - 1/2 = 8 1/4 solve for w
Answer:
W = 35/4 aka 8 3/4 or 8.75
Step-by-step explanation:
Answer: w = 35/4
Step-by-step explanation: w−
2
1
=8
4
1
Multiply both sides of the equation by 4, the least common multiple of 2,4.
4w−2=8×4+1
Multiply 8 and 4 to get 32.
4w−2=32+1
Add 32 and 1 to get 33.
4w−2=33
Add 2 to both sides.
4w=33+2
Add 33 and 2 to get 35.
4w=35
Divide both sides by 4.
w= 35/4
For an inverse variation, write an equation that gives the value of k in terms of x and y.
The equation that gives the value of k in terms of x and y is k = y*x .
In the question ,
it is given that ,
the variation is an inverse variation .
So , equation representing the inverse proportionality is
y ∝ 1/x ,
to remove the proportionality sign (∝) , we introduce
the constant k which is called as Constant of Proportionality .
So , the equation becomes
y = k * 1/x
y = k/x
Simplifying further , we get
k = y*x
Therefore , The equation that gives the value of k in terms of x and y is k = y*x .
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one caterer charges a basic fee of $\$ 100$ plus $\$ 15$ per person. a second caterer charges a basic fee of $\$200$ plus $\$12$ per person. what is the least number of people that could go to a party so that the second caterer is cheaper to hire?
At least 10 people or guests could go to a party and the second caterer is $250 cheaper to hire.
In the question we can use the equation :
Y = mx + b , which is the slope-intercept form of the equation of a straight line. Here, m is the slope of the line and b is the intercept, x and y represent the distance of the line from the x-axis and y-axis, respectively.
For caterer A, the cost per guest is $15. This is the m value. The b value is the additional fee for setting up the tables, $100.
Here, the equation will be y = 15x + 100 -------------------------(1)
For Caterer B, the cost per guest is $20. The b value is the additional fee for setting up the tables $50.
For this the equation will be : Y = 20X + 50. --------------------- (2)
To find the number of guests that will result in an equal cost, set the equations equal to one another. Solve for x.
15x + 100 = 20x + 50 ---------------------- (3)
solving the equation (3),
15x - 20x = 50 - 100
⇒ -5x = - 50
⇒ x = 10
Putting x = 10 in equation (1),
15 × 10 + $100 = $250
Therefore, the cost of 10 people or guest will attend the party and the second caterer is $250 cheaper then the first caterer.
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find the mean of 5, 25, 10, 15, 20
Answer:15
Step-by-step explanation:
The mean is the sum of all the numbers divided by the amount of numbers
Step 1: Add
5+25+10+15+20 = 75
Step 2: Divide
Since there are 5 numbers divide 75 by 5
75/5 = 15
The answer is 15
Answer: The mean is 15
Step-by-step explanation:
To find the mean, we add all the numbers together and divide by the number of numbers.
[tex]\displaystyle \frac{5+ 25+10+ 15+ 20}{5} = \frac{75}{5} = 15[/tex]
Which rate is the best deal for a bottle of mustard?
Question 4 options:
A: $1.26 for 6 oz
B: $1.65 for 8 oz
C: $2.42 for 12 oz
D: $3.30 for 16 oz
The rate that is the best deal for a bottle of mustard is: C: $2.42 for 12 oz.
How to find the unit rate?a. $1.26 for 6 oz
Unit rate = $1.26 / 6 oz
Unit rate = $0.21
b. $1.65 for 8 oz
Unit rate = $1.65 / 8 oz
Unit rate = $0.206
Unit rate = $0.21 (Approximately)
c. $2.42 for 12 oz
Unit rate = $2.42 /12 oz
Unit rate = $0.201
Unit rate = $0.20 (Approximately)
d. $3.30 for 16 oz
Unit rate = $3.30 / 16 oz
Unit rate = $0.206
Unit rate = $0.21 (Approximately)
Therefore the correct option is C.
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Which expressions are equivalent to 5+(-3)(6x-5)
Answer:
[tex]-18x+20[/tex]
Step-by-step explanation:
We can simplify to find an equivalent expression
Take a look at the attachment...
Hope this helps! :)
I know a) is 100
Confused about b) I got 81 but its wrong
Need an explanation along with answer
Answer:
45
Step-by-step explanation:
At this point, b) is basically asking for how many two digits numbers have a greater digit on the right from 0-9, because we already know the other two digits in the four-digit pin.
01-09 has 9 poissibilites.
12-19 has 8 possibilites.
23-29 has 7 possibilites.
34-35 has 6 possibilites.
45-49 has 5 possibilites.
56-59 has 4 possibilities.
67-69 has 3 possibilities.
78-79 has 2 possibilities.
89 has 1 possibility.
90-99 has 0 possibilities.
9+8+7+6+5+4+3+2+1+0=45 possibilities.
Answer:
A) 100 codes, B) 45 codesStep-by-step explanation:
Part AEach of the digits 3 and 4 can get numbers 0 through 9, in total 10 options per each digit:
10*10 = 100 combinationsPart BThe two- digit combinations with the last digit being larger has the following cases:
Digit 4 is 9, then digit 3 can get 0 through 8 ⇒ 9 options,Digit 4 is 8, then digit 3 can get 0 through 7 ⇒ 8 options,...Digit 4 is 1, then digit 3 can get 0 ⇒ 1 optionTotal number of possibilities:
9 + 8 + 7 + ... + 1 = (9 + 1)*9/2 = 10*9/2 = 45
What happens to the graph of the quadratic function y = x2 + c as the value of c increases?
Answer:
The graph gets shifted up more
Step-by-step explanation:
Calculating the values of x^2 and then adding a constant 'c' to that value shifts the graph upward by the value of 'c'
Answer:
The vertex (or minimum) would move to a higher position on the y -axis
Step-by-step explanation:
Whatever the value of C is, will be where the vertex of the quadratic sits
Does the placement of the slope triangles matter when finding the slope of a line? Explain your reasoning.
Choose the correct answer and justification.
Answer:I really like math
Step-by-step explanation:
Answer:
Step-by-step explanation:
a
if the domain of f(x) = 2x + 1 is {-2 ≤ x ≤ 3}, which integer is not in the range?
a) -4 c) -2
b) 0 or d) 7
If the domain of the function f(x) = 2x + 1 is {-2 ≤ x ≤ 3}, an integer which is not in the range is: a) -4.
What is a range?In Mathematics, a range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values (real numbers), which are shown on the y-axis of a graph.
When x = -2, the range of this function f(x) = 2x + 1 is given by:
f(-2) = 2(-2) + 1
f(-2) = -4 + 1
f(-2) = -3
When x = 3, the range of this function f(x) = 2x + 1 is given by:
f(3) = 2(3) + 1
f(3) = 6 + 1
f(3) = 7
Therefore, the range of this function is -3 ≤ y ≤ 7 and as such, -4 is an integer that is not within the range as shown in the number line attached below.
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The volume of a cylinder is 220 cm³ the radius of the cross section is 25cm Find the height of the cylinder.
Answer:
2.80112699842
Step-by-step explanation:
height = volume / (π × radius²)
220/25 pi
Simplify: 5x(3-12x)-3(4-20x^2)
A. 15x-12
B. 15x^2-60x
C. 60x^2-15x
D. 15x^2-12x
We may determine the option a) 15x - 12 by simply multiplying and adding them by the necessary terms.
What is Linear Equation?A linear equation is an algebraic equation of the form y = mx + b. involving only a continuing and a first-order ( linear ) term, where m is the slope and b is the y-intercept.
5X ( 3 - 12 X) - 3 ( 4 - 20[tex]x^{2}[/tex] )
15X - 60[tex]x^{2} \\[/tex] - 3 ( 4 - 20[tex]x^{2}[/tex] )
15X - 60[tex]x^{2} \\[/tex] - 12 + 60[tex]x^{2}[/tex]
15X - 12 this is required solution .
Just by simply multiplying and adding them by required terms we can conclude 15x - 12.
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