Answer:
$613.45
Step-by-step explanation:
Multiply $475 by 3.25% of it and so on 7 times, which adds up to 613.4993293. Round that to 613.45
at a certain university, 23% of students will graduate with a math degree, 31% will graduate with a computer science degree and 7% will graduate with a degree in both math and computer science what is the probability that a student will graduate with a math or a computer science segree? A) 7% B) 47% C) 54% D) 61%
Work Shown:
A = event that the person has math degree
B = event that the person has a computer science degree
P(A) = 0.23, since 23% of the people have a math degree
P(B) = 0.31, similar reasoning as above, just different number
P(A and B) = 0.07
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 0.23 + 0.31 - 0.07
P(A or B) = 0.47
The decimal value 0.47 then converts to 47% after moving the decimal 2 spots to the right.
There's a 47% chance that we pick someone who has a math degree or a computer science degree (or both).
It might help to set up a venn diagram to see why that formula above works.
what multiplies to get 56 and adds to get 15
Answer:
8 & 7
Step-by-step explanation:
x*y = 56
x+y = 15
y = 15-x
x(15-x)=56
15x-x^2 = 56
x^2 -15x + 56 = 0
Factored Form: y= (x-8)(x-7)
XYZ medication 250 mg , 2 tabs qid x 14 days. How many tablets will be dispensed from the pharmacy?
Answer:
112
Step-by-step explanation:
qid means 4 times a day. So 2 x 4 is 8. Then multiply that by 14 and you get 112.
112 tablets will be dispensed from the pharmacy such that [tex]XYZ[/tex] medication [tex]250[/tex] mg, [tex]2[/tex] tabs qid for [tex]14[/tex] days.
Unitary MethodThe unitary method is a process to find the value of multiple units from the value of a single unit.
How to determine the number of tablets dispensed?[tex]2[/tex] tabs qid means [tex](2[/tex] × [tex]4)[/tex] [tex]= 8[/tex] tabs per day will be required as per prescribed medication.
So, in [tex]14[/tex] days, the number of tabs required [tex]= 8[/tex] ×[tex]14 = 112[/tex].
Thus, 112 tablets will be dispensed from the pharmacy.
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An American sausage is 43 inches long. How many pieces of sausage can be cut from the 43 inch piece of sausage if each piece is two-thirds of an inch?
Answer:
64.5 pieces
Step-by-step explanation:
Since we know how long our sausage is already, we can solve this problem by simply dividing 43 by our fraction which is 2/3 (or 0.6).
43 / 0.6 = 64.5
Which number belongs to the solution set of the equation?
x + 3 = 45
A. 15
B. 48
C. 43
D. 42
Answer:
D
Step-by-step explana
[tex] \sf \: The \: value \: of \: x \: is \: the \: number \: that \: belongs \: to \: the \: solution \: \\ \sf \: set \: of \: the \: equation. \: So \: we \: need \: to \: find \: x.[/tex]
[tex] \sf \: x + 3 = 45 \\ \sf \: x = 45 - 3 \\ \sf \: x = \underline{42}[/tex]
Answer ⟶ [tex]\boxed{\bf{D.42}}[/tex]
Resolver problemas Aplicación. El precio de un computador es $2 200 000 sin IVA ¿Cuánto hay que pagar por el si el IVA es del 16%? = Aplicación. En la preparación de una salsa de la receta para 4 personas, se necesitan 150 gramos de mantequilla. ¿Cuántos gramos de mantequilla se necesitan en una salsa para 12 personas?
Respuesta:
$ 2552000
450 gramos
Explicación paso a paso:
Dado que :
Precio = $ 2,200,000
Si IVA = 16%
LA CANTIDAD A PAGAR SERÁ:
Precio + IVA
$ 2,200,000 + (16% * $ 2,200,000)
$ 2,200,000 + (0.16 * $ 2,200,000)
$ 2,200,000 + $ 352,000
$ 2552000
2.)
Receta para 4 personas requiere 150 gramos de mantequilla
Receta para 12 personas requerirá x gramos
4x = 150 * 12
4 veces = 1800
x = 1800/4
x = 450 gramos
what is the measure of each angle of a regular 14-gon? if neccessary, round to the nearest tenth.
Step-by-step explanation:
Side measuring formula is 180(n-2). ---[ n= side]
Question: 14-gon
>by using formula 180(14-2)
> 180×12
> 2160÷ 14. --[divided by 14 side in order to find one side's degree]
> 154.28°
...................................................
Answer:
3x + 2 = 59
Step-by-step explanation:
because the total is 59 so is definetly =59
and no of oranges in bag so there are 3 bags it means its 3x so the equation is 3x + 2 = 59
Hope it will help you
Lots of love from nepal <3 :)
Grade improvement and study motivation
Answer:
yes because we are leraning new things
What’s 4 divided by $5.32
Answer:
0.752
Step-by-step explanation:
Karma was given some birthday money. She puts money in an account. Every month after that, she deposits the same amount of money. The equation that models this situation is y=75x+60, where y is the amount of money in the account and x is the number of deposits. What does the y-intercept mean in this situation
Answer:
y represents the amount in the bank account after 7 months.
Step-by-step explanation:
Let karma gets x money on his birthday.
He has 60 in his account initially
He deposits teh same money for the seven months
So, the money he has after the seven months is 7 x + 60
According to the question,
y =7 x + 60
It shows that the amount after seven months is y.
Angle ADB and CD are straight lines.
angle ADC = 5 x angle CDB
Work out the size of angle ADC.
Answer:
150 degrees
Step-by-step explanation:
5 + 1 = 6
180 : 6 = 30
30 x 5 = 150
PLEASE HELP!!
A 16 ft ladder is propped up against a building at an angle of 52°. How far up the wall does the ladder go?
a. 20.3 ft
b. 9.9 ft
c. 25.9 ft
d. 12.6 ft
Answer:
The correct answer is a) 12.6 ft
Step-by-step explanation:
I took the test and got it right:)
The branch of mathematics deals with the relations of the sides and angles of triangles and with the relevant functions of any angles. The ladder goes at a height of 12.6082 feet.
What is trigonometry?The branch of mathematics deals with the relations of the sides and angles of triangles and with the relevant functions of any angles.
Given that the length of the Ladder is 16 feet while the angle between the ladder leaning against the wall is 52°.
Trigonometric Ratios are the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Using Trigonometric Ratios of sin because of opposite over hypotenuse,
sin ∅=perpendicular/hypotenuse
sin(52) = x/16
16sin(52) = x
By calculating,
x = 12.6082 feet
Hence, the ladder goes at a height of 12.6082 feet.
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Plz explain and I'll give brainly!!!
For this exponential function,
what is the output value (y),
when the input value (x) is 2?
y = 10.5x
Answer:
(2,21)
Step-by-step explanation:
y = 10.5x
plug 2 for x in the equation
y = 10.5(2)
then multiply 2 by 10.5
y=21
10)
Ka
The longer base of a trapezoid has endpoints of (-2,- 4) and (4,0). The shorter base contains the point (3, 1).
(40)
(2)
We an equation of the line that contains the shorter base of the trapezoid. Provide valid mathematical reasoning and calculations to
you derived your equaiton.
of a trapezoid are parallel
Suation and explanation in the space provided.
Math symbols
Relations
Geometry
Answer:
y = 2·x/3 - 1
Step-by-step explanation:
The endpoints of the longer base of the trapezoid = (-2, -4), and (4, 0)
The point contained on the shorter base = (3, 1)
The slope of the line representing the longer base, m, is given as follows;
m = (0 - (-4))/(4 - (-2)) = 2/3
The slope of the shorter base = The slope of the longer base = m = 2/3
The equation of the line representing the shorter base in point and slope form is therefore;
y - 1 = (2/3)·(x - 3)
∴ y = 2·x/3 - 2 + 1 = 2·x/3 - 1
The equation of the shorter side of the trapezoid is y = 2·x/3 - 1
How many L of a 10% alcohol solution must be mixed with 9l of a 80% alcohol solution to make a 55% solution
Answer:
Step-by-step explanation:
The best thing to do for these solution/mixture problems is to make a table:
#L * %alcohol = L alcohol
10% sol.
+ 80% sol.
55% sol.
In this way, we can keep track of our information AND figure out the equation we need to use to solve it. Notice first, the equation along the top of the table:
#L * %alcohol = L alcohol This tells us that we are multiplying the #L column times the %alcohol column to get the L alcohol column. Notice second, that there is a + sign to the far left, indicating that we are ADDING rows 1 and 2 together to get the mix. Let's start filling this in. The easy part is the % alcohol column. 10% alcohol has .10 alcohol as a decimal, likewise for the 80% and 55%:
#L * %alcohol = L alcohol
10% sol. .10
+ 80% sol. .80 =
55% sol. .55
Now to fill in the first column. We know that our unknown, from the problem, is the number of Liters, #L in the 10% solution, so that is x, and we also know that we have 9 L of the 80% alcohol. Filling that in:
#L * %alcohol = L alcohol
10% sol. x * .10
+ 80% sol. 9 * .80
55% .55
Now look back at the + sign. We are told that we are mixing the 10% with the 80%, so we are adding them together. So let's do that. We will also follow the rule for the table and multiply the first column times the second column to fill in the last column to complete the table:
#L * %alcohol = L alcohol
10% sol. x * .10 = .10x
+ 80% sol. 9 * .80 = 7.2
55% sol. (9 + x) * .55 = .55x + 4.95
If we add the 2 solutions together to get the new solution in the first column, we will also add the L alcohol in the last column to get our equation:
.10x + 7.2 = .55x + 4.95 and
- .45x = - 2.25 so
x = 5L
We need 5 Liters of the 10% solution if we want to mix that with 9L of 80% solution to get 14 L of 55% solution.
Which shows a difference of squares?10 y squared minus 4 x squared16 y squared minus x squared8 x squared minus 40 x 2564 x squared minus 48 x 9
Answer:
16 y squared minus x squared
Step-by-step explanation:
The other all expressions except 16y²-x² doesn't complete the square and its difference. Then we can check 16y²-x²,
Now take the expression 16y²-x² and we can try to solve it.
We can simplify the terms separately to associate them as perfect squares,
→ 16y² = (4y)² --- (1)
→ x² = (1x)² --- (2)
Now we can take the difference of eq. (1) and eq. (2),
→ 16y²-x²
→ (4y)²-(1x)² --- (3)
Now eq. (3) shows a difference of squares.
Another representation is,
→ (4y - x) (4y + x)
→ 16y²- x²
→ (4y)²- (1x)²
Therefore, the expression 16y²-x² shows a correct difference of squares.
Answer:
its b trust
Step-by-step explanation:
Which is the graph of f(x) = (x - 1)(x + 4)?
6
4
2
2
22
2
4
6
2
B42
2
O
O
4
2
2
Answer:
Graph DStep-by-step explanation:
f(x)=(x-1)(x+4
roots x=1,-4,
x=0, y=-4
OAmalOHopeO
Help please need it ASAP correct
Answer:
[tex]p=-7[/tex]
Step-by-step explanation:
This is how you find it
1) Substitute the p into the equation to get 7(-7)-7=-56. Then you get -49-7=-56. This is true
Hope this helps! :)
Answer:
p = - 7
Step-by-step explanation:
7p - 7 = - 56
7p - 7 + 7 = - 56 + 7
7p = - 49
7p ÷ 7 = - 49 ÷ 7
p = - 7
Plz someone do this for me I’ll give a lot of points
Answer:
RW is congruent to WX
Step-by-step explanation:
We know that PW and WV and Angle W is vertical angle so We need to include that RW congruent to WX.
What is the range of function g?
Ans
he range of function g is as under;
b
-3 ,-4
Answer:
B
Step-by-step explanation:
I just took the test.
WE AIN'T LEARN THIS IN CLASS I'M GONNA CRY
Answer:
3x-6 Its is B
Step-by-step explanation:
We know that x is an even number. we have 2 even numbers which are consecutive. For example. If x was 6. the 2 before numbers would be 4 and 2. So the formula is x+(x-2)+(x-4). (-4)+(-2)=-6. In total there are 3x. So the answer would be 3x-6. Hope this helped ^^.
What is the domain of the function on the graph?
Answer:
Step-by-step explanation:
Domain covers x values only (where range covers y values only). Domains are stated from the absolute lowest x value included on the graph to the highest. Looking at our graph, we have a solid dot at x = -3, and there is no part of the graph that goes to the left of -3. So -3 is the absolute lowest x value on the graph. When you follow the blue graph, you notice that it goes off the graph "paper" and does not have a solid dot at the tail end of it. This means that the graph will go on forever. This implies infinity, which looks like this: ∞
The lowest x value is -3 and the highest is ∞ so there are a couple of ways in which you can state this:
D = {x | -3 ≤ x < ∞} or D = {x ≥ -3} Either one will work
Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase?
1.29x + 0.85y < 5
1.29x + 0.85y > 5
0.85x + 1.29y > 5
0.85x + 1.29y < 5
Answer:
it's D
Step-by-step explanation:
The inequality that represents Dan's purchase is 0.85x + 1.29y < 5.
The correct option is D.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
The cost of x pounds of potatoes at $0.85 per pound is 0.85x dollars.
The cost of y pounds of grapes at $1.29 per pound is 1.29y dollars.
The total cost of the purchase is the sum of these costs, which is:
0.85x + 1.29y
The inequality that represents the total cost being less than $5 is:
0.85x + 1.29y < 5
So, the correct answer is 0.85x + 1.29y < 5.
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A box contains 6 red, 3 white, 2 green, and 1 black (in total 12) identical balls. What is the least number of balls necessary to take out randomly (without looking) to be sure of getting at least two white balls?
Answer:
Pick at least 4 balls to be sure that you are getting balls with the same color.
Step-by-step explanation:
Here, you want to know the least number of balls to be taken out of the box to be sure that you have all the three colors represented.
You know there are 12 identical balls, with the least numbers of balls being 1 and 2. Hence, to be able to know you have all the colors of balls represented, you will need to have taken all the less represented ones i.e the 1 and 2 , and this means that the next number of ball which would be taken will confidently confirm that you have taken all the colors since you would have exhausted picking other balls at this point.
So you shall be needing at least 4 balls picked to ensure that you have all the colors represented
If the value of a number in decimal system is 955, find its value in quinary system and in binary system.
Answer:
955 in quinary system = 12310
955 in binary system = 1110111011
Step-by-step explanation:
Quinary system is in base 5, that is, 0,1,2,3,4
955 in quinary system
955 ÷ 5 = 191 remainder 0
191 ÷ 5 = 38 remainder 1
38 ÷ 5 = 7 remainder 3
7 ÷ 5 = 1 remainder 2
1 ÷ 5 = 0 remainder 1
In reverse order of the remainder
= 12310
Binary system = 0,1
955 in binary system
955 ÷ 2 = 477 remainder 1
477 ÷ 2 = 238 remainder 1
238 ÷ 2 = 119 remainder 0
119 ÷ 2 = 59 remainder 1
59 ÷ 2 = 29 remainder 1
29 ÷ 2 = 14 remainder 1
14 ÷ 2= 7 remainder 0
7 ÷ 2 = 3 remainder 1
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
In reverse order of the remainder
1110111011
Findthe area of a quadrilateral ABCD in which AB=3cm,BC=4cm,CD=4cm,DA=5cm, and AC=5cm
Answer:
21cm
Step-by-step explanation:
3+4+4+5+5
I so
Select all polynomials that have (x-3) as a factor.
1. a(x) = x^3 - 2x^2 - 4x + 3
2. b(x) = x^3 + 3x^2 - 2x - 6
3. c(x) = x^4 - 2x^3 -27
4. d(x) = x^4 -20x - 21
Answer:
Below.
Step-by-step explanation:
Substitute x = 3 into each polynomial and see if the value of the polynomial is zero. If it is zero then x-3 is a factor.
Try number 1:
a(x) = x^3 - 2x^2 - 4x + 3
a(3) = 3^3 - 2(3)^2 - 4(3) + 3
= 27 - 2(9) - 12 + 3
= 27 - 18 - 12 + 3
= 9 - 18 - 9
= 27 - 27
= 0
So a(x) has (x-3) is a factor of a(x)
The other 3 polynomials are solved in the same way.
[tex]\frac{x+4}{2} -\frac{3}{x-3} =1[/tex]
Quadratics null factor the given answer is x= 4,−3 but I don't know how to work it out
Answer:
Hello,
Step-by-step explanation:
[tex]x\neq 3\\\\\dfrac{x+4}{2} -\dfrac{3}{x-3} =1\\\\\dfrac{(x+4)(x-3)-2*3-2(x-3)}{2(x-3)} =0\\\\x^2+4x-3x-12-6-2x+6=0\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x-4)(x+3)=0\\\\x=4\ or\ x=-3\\[/tex]
Simplify the expression 5(x-3)(x^2+4x+1)
Simplify the expression 5(x-3)(x^2+4x+1)
it would be I think answer number 3
