Carlos goes out to lunch. The bill, before tax and tip, was $13.80. A sales tax of 3% was added on. Carlos tipped 23% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.
Answer:i think its 13.70 or 14.00
Step-by-step explanation:
Answer:
$3.27
Step-by-step explanation:
$13.80 x 1.03 (which will add the 3% to the total, skipping a step) = $14.21
Then take $14.21 x .0.23 which will give you just the tip amount of $3.2683 or rounded to the nearest cent, $3.27
I need help with this
Answer:
yes
no
no
yes
no
Step-by-step explanation:
7/20 + 3/5 = 19/20 (yes/no) | it goes through
3/5 + 3/10 = 3/15 (yes/no) | doesn't go through
1/2 + 2/3 = 3/5 (yes/no) | doesn't go through
1/10 + 1/2 = 3/5 (yes/no) | it goes through
3/5 + 1/20 = 9/20 (yes/no) | doesn't go through
What’s the area of the figure below?
Answer:
482.5 ft^2.
Step-by-step explanation:
The figure can be regarded as a rectangle with a triangle cut out of one corner.
The base of the triangle = 25-20 = 5 in and the height = 20 - 13 = 7 in.
The required area = area of rectangle - area of triangle
= 25*20 - 1/2 * 5 * 7
= 500 - 17.5
= 482.5 ft^2
9514 1404 393
Answer:
482.5 square inches
Step-by-step explanation:
The figure can be considered to be a 25 in by 20 in rectangle with a 5 in by 7 in triangle cut off the corner. Then the area of the figure is the area of the rectangle, less the area of the triangle.
A = LW - 1/2bh
= (25 in)(20 in) - 1/2(5 in)(7 in) = 500 in² -35/2 in² = 482 1/2 in²
The area of the figure is 482.5 square inches.
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
15 pt
Step-by-step explanation:
Answer:
15 pintsStep-by-step explanation:
1 quarts = 2 pints
From the question we were given 7.5 quarts to to get the desired result multiply 7.5 by 2
Which is 7.5 × 2 = 15 pints
Hope this helps you
Given just the graph what 3 steps are required to write the equation of a line?
Answer:
Step-by-step explanation:
step 1:
determining the values for standard form for the equation of a line,
y = mx + c
Step 2:
calculation of m, where m is the gradient or slope which determines how steep the line is.
step 3:
calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept
Find the coordinates of the points that are 20 units away from the origin and have a y-coordinate equal to −12.
9514 1404 393
Answer:
(-16, -12), (16, -12)
Step-by-step explanation:
The given values (side length and hypotenuse) have the ratio ...
12 : 20 = 3 : 5
This suggests that the triangle formed by the axes and the point 20 units from the origin is a 3-4-5 triangle, and the remaining side is 16 units from the y-axis. That means the points of interest are ...
(-16, -12) and (16, -12)
The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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Professor Bartlett teaches a class of 10 students. She has a visually challenged student, Louise, who must sit in the front row next to her tutor, who is also a member of the class. Assume that the front
row has seven chairs, and the tutor must be seated to the right of Louise How many different ways can Professor Bartlett assign students to sit in the first row?
Using the permutation formula, it is found that Professor Bartlett can assign the students in 90,720 ways.
------------------------------
The permutation formula states that the number of ways x elements from a set of n can be assigned is:
\(P_{(n,x)} = \frac{n!}{(n-x)!}\)
For Louise and the tutor, there are 6 possible outcomes, seats 1-2, 2-3, 3-4, 4-5, 5-6 and 6-7.For the remainder of the students, 5 are chosen from a set of 9, thus:\(T = 6 \times P_{9,5} = 6 \times \frac{9!}{4!} = 90720\)
The students can be assigned in 90,720 ways.
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cos 2x= ___. Check all that apply.
A. sin² x - cos²x
B. 1-2 cos²x
C. 1-2 sin² x
D. 2 cos²x - 1
Answer:
C and D
Step-by-step explanation:
\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)
There are 15 pieces of fruit in a bowl and 6 of them are apples. What
percentage of the pieces of fruit in the bowl are apples?
O 0.06%
O 0.4%
O 6%
40%
Answer:
40%.
Step-by-step explanation:
There are 6 / 15 apples out of the bowl.
6/15 = 2/5 = 0.4
So, 40% of the fruit in the bowl are apples.
Hope this helps!
12.874 rounded to the nearest tenth
I think it might be 12.9
45 points!!
solve question 9
Answer:
answer
A) 11.7²+X.6²
B) 7²+10² 0²
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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determine the following for g(x) = 3x+600 / x^2 - 90xwrote none if a graphical feature does not exist
We will have the following:
1st:
* Determinant:
\(d=(-8)^2-4(2)(9)\Rightarrow d=-8\)* #x-intecepts: GIven the determinant we can see that there are no x-intercepts.
2nd:
\(g(x)=\frac{3x+600}{x^2-90x}\)*Verical Asymptotes:
\(\frac{3x-600}{x^2-90x}=0\Rightarrow\begin{cases}x^2-90x=0\Rightarrow\end{cases}x(x-90)=0\)\(\Rightarrow\begin{cases}x=0 \\ \\ x=90\end{cases}\)So, there are two vertical asymptotes at x = 0 & x = 90.
*Horizontal Asymptotes:
We can see that the degree of the denominator is greater than that of the numerator so, there is a horizontal asymptote at y = 0.
*x-Intercept:
Since there is a horizontal asymptote at y = 0 and the function becomes undefined when x = 0, there is no x-intercept in this function. [Being very technical it could be stated that there are x-intercepts at (-∞, 0) & (∞, 0), but since these vales are undefined they are of little use]
What function is being described Justify each part of your function, explaining how you determined it.
My function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2. It has end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity. The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.
What is the end behavior of a polynomial function?The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.
Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.
The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.
The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.
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The lengths of the sides of a right triangle are 10 in., 24 in., and 26 in. What is the area of the triangle?
Answer:
\(Solution,\\Let~a=10in.,~b=24in.~and~c=26in.\\Semiperimeter(s) = \frac{a+b+c}{2}= \frac{10+24+26}{2} = 30in.\\Now,\\Area~of~triangle = \sqrt{s(s-a)(s-b)(s-c)} \\~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{30(30-10)(30-24)(30-26)} \\~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{30(20)(6)(4)} = \sqrt{14400}=120sq.inches\)
a box contains 8 red marbles, 5 white marbles,and 4 blue marbles . if a marble is ramdomly selected from the box what is the probability that is white
Mrs. Smith made 6 ¼ dozen cookies for the birthday party. At the end of the party, there were 3 ½ dozen cookies left. How many cookies did the guests eat?
The guests in the birthday party ate 33 cookies.
How many cookies did the guests eat?We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.
Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.
6 1/4 dozen = 25/4 dozen
3 1/2 dozen = 14/4 dozen
Now we can subtract the number of cookies that were left from the number of cookies that were made:
25/4 - 14/4 = 11/4 dozen
To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.
There are 12 cookies in one dozen, so:
11/4 x 12 = 33
Therefore, the guests ate 33 cookies.
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Latisha found an apartment that she wants to rent. The rent is $675 per month and there is a security deposit of $325. To move in, Latisha must have first month's rent, last month's rent and the security deposit. How much does Latisha need to move in? a. $1,000 b. $1,325 c. $1,675 d. $2,000
Answer:
C) 1,675
Step-by-step explanation:
First you would add first months rent and last months rent which would give you 1,350 so that automatically eliminates option A and Option B then after u get 1,350 you would add the security deposit to the 1,350 which would give u 1,675 so the answer would have to be c
Hope this helped!
(o゚v゚)ノ
Latisha need $1675 to move in.
What is addition?Addition in maths, a process of combining two or more numbers.
Given that, Latisha found a flat that she wants to rent. The rent is $675 per month and there is a security deposit of $325. To move in, Latisha must have first month's rent, last month's rent and the security deposit.
Total money to move in = 325 + 675*2 = $1675
Hence, Latisha need $1675 to move in.
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Help please!!!!!! As soon as possible
Signature of the Principle investigator on the final proposal implies his responsibility for the following except
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
Answer:
Step-by-step explanation:
The volume of the cone is 37.68 centimetres cube.
e
3x - 5y
4x + y²
when x = -8 and y=5
The correct answer is obtained using substitution method. The solution to 3x - 5y and 4x + y² , when x = -8 and y=5 is -49, -7.
What is the substitution method ?
The negotiation system is the algebraic system to break contemporaneous direct equations. As the word says, in this system, the value of one variable from one equation is substituted in the other equation. The first step in the negotiation system is to find the value of any one of the variables from one equation in terms of the other variable. For illustration, if there are two equations x y = 7 andx-y = 8, also from the first equation we can find that x = 7-y. To check a system of equations by negotiation, you plug your values for x and y into the original equations. If both simplified expressions are true also your answer is correct. Since x = 2 and y = − 3 worked for both equations I know that( 2, − 3) is the result of this system of equations.3x - 5y = 3.(-8) - 5.(5)
= -24 - 25
= -49
4x + y² = 4.(-8) + 5.(5)
= -32 + 25
= -7
The correct answer is obtained using substitution method. The solution to 3x - 5y and 4x + y² , when x = -8 and y=5 is -49, -7.
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Please look at the photo. Thank you.
a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².
b) The side length that gives the maximum area that the playground can have is x = 30 m.
c) The maximum area that the playground can have is 900 m².
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths, we have:
120 = 2(x + W)
60 = x + W
W = 60 - x
Therefore, the area of the rectangular playground (in terms of x) is given by this function;
A = LW
A(x) = x(60 - x)
A(x) = 60x - x²
Part b.
For the side length, we would take the first derivative of the area:
A(x) = 60x - x²
A'(x) = dA/dx
A'(x) = 60 - 2x
60 - 2x = 0
x = 60/2
x = 30 m
Part c.
W = 60 - x
W = 60 - 30
W = 30 m.
Therefore, the maximum area is given by;
A = 30 × 30
A = 900 m².
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Great Escape bought a vintage bicycle for $3,000. They marked it up 43.3% to sell in their store. Then, they ran a sale for 30% off. What was the discount price of the bicycle?
The discount price is $3009.3.
What is a cost?It is the amount of money spends on the creation or production of goods or services.
The cost price of the bicycle is $3000.
The marked price is given by
3000+(0.433 * 3000) = 4299
The marked price is $4299.
The discount rate is 30%.
The discount price of the cycle is given by
4299 - (0.3 * 4299) = 4299 - 1289.7 = 3009.3
Hence, the discount price of the bicycle is $3009.3.
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need help with this question
Answer:
\( - 2 {x}^{5} {y}^{7} \)Last option is correct.
Step-by-step explanation:
\( - 2 {x}^{3} {y}^{4} {x}^{2} {y}^{3} \)
Multiply the terms with the same base by adding their exponents
\( - 2 {x}^{3 + 2} {y}^{4 + 3} \)
Add the numbers
\( - 2 {x}^{5} {y}^{7} \)
Hope this helps..
Best regards!
\( - 2 {x}^{5} {y}^{7} \)
Solution:
\( - 2 {x}^{3} {y}^{4} {x}^{2} {y}^{3} \)
\( = 2 {x}^{(3 + 2)} {y}^{(4 + 3)} \)
\( = - 2 {x}^{5} {y}^{7} \)
\({\boxed{\blue{\textsf{Some Important Laws of Indices}}}}\)
\({a}^{n}.{a}^{m}={a}^{(n + m)} \)
\({a}^{-1}=\dfrac{1}{a}\)
\(\dfrac{{a}^{n}}{ {a}^{m}}={a}^{(n-m)}\)
\({({a}^{c})}^{b}={a}^{b\times c}={a}^{bc}\)
\( {a}^{\frac{1}{x}}=\sqrt[x]{a}\)
\(a^0 = 1\)
\([\text{Where all variables are real and greater than 0}]\)
A bag is filled with an equal number of red, yellow, green, blue, and purple socks. The theoretical probability of a child drawing 2 yellow socks from the bag with replacement is one fifth. If the experiment is repeated 175 times, what is a reasonable prediction of the number of times he will select 2 yellow socks?
one fifth
10
25
35
35 is a reasonable prediction of the number of times he will select 2 yellow socks?
what is probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
What is event?In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.
In the given question,
The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:
P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25
So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.
To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:
E(X) = n * p
where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.
In this case, n = 175 and p = 1/25. So,
E(X) = 175 * (1/25) = 7
Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.
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Simplify the following expression.
29.718 - 29.63
Answer:
0.88 is the correct answer
PLEASE HELP QUICK!!! GIVING BRAINLEST OUT
Answer:
44
Step-by-step explanation:
Answer:
use the pythagorean theorem to solve for the sides and the degree for both triangles so your using cos sin or tan im not sure which one
Step-by-step explanation:
i really hope this helps the question is really vague im sorry if this wasnt a help
sin(θ) = Opposite / Hypotenuse
cos(θ) = Adjacent / Hypotenuse
tan(θ) = Opposite / Adjacent
A parking garage in Raleigh, NC charges $5 for the first hour and $2.50 for each additional hour or part of an hour. Your receipt reads $20. How many hours did you park in the garage?