Colby took out a sinlge payment loan for $550 that charged a $60 fee. How much does he have to pay by the time the loan reaches maturity?
Answer:
Step-by-step explanation610:
How many different pizzas can be ordered if the restaurant offers 15 different toppings and there is no limit to
the number of toppings on the pizza?
Final answer:
Using the formula for combinations with repetition, with 15 different toppings and no limit on the number of toppings per pizza, we find that there can be 32,768 different possible pizzas.
Explanation:
The question you're asking relates to combinations with repetition, a topic in combinatorics, a branch of mathematics. Given 15 different pizza toppings and the possibility of choosing any number of these toppings for a single pizza (including the possibility of a pizza with no toppings at all), we're essentially looking at how many different pizzas can be created.
To calculate the total number of different pizzas that can be ordered, we use the formula for combinations with repetition, which is (n+r-1)C(r), where 'n' is the number of toppings to choose from (15 in this case), 'r' is the number of toppings chosen, and 'C' represents the combination function. Since there's no limit to the number of toppings, 'r' can vary from 0 (a pizza with no toppings) to 15 (a pizza with all the toppings). However, because the question allows any number of toppings and we consider repetitions, the calculation simplifies to 2ⁿ, where n is the number of toppings.
Therefore, calculating this gives us 2¹⁵, which equals 32,768 different possible pizzas. This includes every combination from no toppings at all to a pizza with all 15 toppings.
If (44)x = 432, what is the value of x?
4
7
8
28
44 x 4 = 176
44 x 7 =308
44 x 8 = 352
44 x 28 =1232
none of those will =432
are you sure you have the right numbers?
(44)x=432
x=432/44 = 9.8181
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n) = 12 + (n – 1)(3)
A.12, 21, 39
B. 0, 9, 27
C. 12, 24, 42
D. 3, 24, 27
In a hospital ward, there are 12 nurses and 4 doctors. 3 of the nurses and 2 of the doctors are male. If a person is randomly selected from this group, what is the probability that the person is female or a doctor? @IMStuck @TheSaint905621 @Compassionate @phi @math&ing001 @acxbox22
Answer:
[tex]\bf \textbf{Probability that the person is female or a doctor = }\frac{13}{16}[/tex]
Step-by-step explanation:
Number of nurses in the hospital = 12
Number of doctors in the hospital = 4
Number of male nurses = 3
Number of male doctors = 2
Number of male persons = 5
So, Number of female persons = 16 - 5 = 11
Number of female doctors = 4 - 2 = 2
So, Probability that the person is female or a doctor = Probability that a person is female + Probability that a person is doctor - Probability that a person is female doctor
[tex]\implies\text{Probability that the person is female or a doctor = }\frac{11}{16}+\frac{4}{16}-\frac{2}{16}\\\\\implies\bf \textbf{Probability that the person is female or a doctor = }\frac{13}{16}[/tex]
Two sandboxes with the same area are shown. The equation w(3w+1)=5^2 represents the area of Sandbox 2 in terms of its width. Which is the approximate length of the longest side of Sandbox 2? Round the answer to the nearest hundredth of a meter.
A.) 2.72 meters
B.) 3.06 meters
C.) 9.16 meters
D.) 10.18 meters
sandbox 1 area = 5*5 = 25 square m
sandbox 2
25=w*(3w+1)=
3w^2+w-25=0
w=2.7248 (round to 2.72 m)
2.72*3=8.16+1 = 9.16
Longest side = 9.16 meters
Answer:
C.) 9.16 meters
Step-by-step explanation:
We are given that the two sandboxes have same area and the equation is given by 25 = w*(3w+1).
Now, we simplify this equation in order to find the value of unknown variable 'w'.
i.e. 25 = 3[tex]w^{2}[/tex]+w
i.e. 3[tex]w^{2}[/tex]+w-25=0
The two factors of this quadratic equation are w=2.72 and w= -3.05.
But, as 'w' represents the length of the box, so it cannot be negative.
Therefore, w = 2.72
So, the longest side of the box is (3w+1) = 3*2.72+1 = 9.16 meter
Hence, the length of longest side to the nearest hundredth is 9.16 meter.
what is this answer
A man paid $71.40 for a radio. The radio was marked 15% off the original selling price. What was the original selling price?
How would I solve this?
If conner spent $36 to buy a new collar for each of his dogs.if each collar cost $6,how many dogs dose conner have?
Given an arithmetic sequence in the table below, create the explicit formula and list any restrictions to the domain.
n | an
1 | 9
2 | 3
3 | −3
A triangle has side lengths of 20 cm, 99 cm, and 108 cm. Classify it as acute, obtuse, or right.
A. acute
B. obtuse
C. right
Choose the missing exponent to create a polynomial: 3x^4+4x^2-9x^-?+2
A)2
B)3
C)-9
D)7
E)4
For a Polynominal 3x^4+4x^2-9x^-?+2 the missing part is mathematically given as
3x^4+4x^2-9x^-(-9)+2
-9, Option C is correct
What is a Polynomial?
Polynomials are summations of elements of the format of kxn, having k as any digit and n is +ve integer
Generally, the expression for the Polynominal is mathematically given as
3x^4+4x^2-9x^-?+2
In conclusion, the Polynominal must have all positive exponents, hence the value must be negative to give a positive exponent
Hence, -9 is correct
Read more about Polynomial
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Can square root of 32 be simplified
- ( 1 + 7x ) - 6 ( -7 - x ) = 36
Please solve and show work
The field hockey coach is purchasing new uniforms for the team. Company A charges a one-time printing fee of $100 and $12 per uniform. Company B charges a one-time fee of $61 and $15 per uniform. How many uniforms must the coach buy to get a better deal from Company A?
WILL GIVE A BRAINLIEST!!
Find the range of the parent function below.
y=1/x
A.
all real numbers
B.
all real numbers except 0
C.
all positive numbers
D.
all negative numbers
A square garden plot has an area of 75 ft2. a. Find the length of each side in simplest radical form. b. Calculate the length of each side to the nearest tenth of a foot.
Answer:
a)the length of each side is [tex]5\sqrt3[/tex] feet
b)In the nearest tenth the length of the side is 8.7 feet.
Step-by-step explanation:
The area of the square garden is 75 square feet.
a) Let x be the length of each side.
We know that,
[tex]\text{Area of square}=\text{(Side)}^2[/tex]
Hence, we have
[tex]75=x^2\\\\x=\sqrt{75}\\\\x=5\sqrt{3}[/tex]
Thus, the length of each side is [tex]5\sqrt3[/tex] feet
b)
In the nearest tenth the length of the side is 8.7 feet.
The number of new cars purchased in a city can be modeled by the equation where C is the number of new cars and t is the number of years since 1958. C = 26t^2 + 168t + 4208. In what year will the number of new cars reach 15,000? a. 2026 b. 1993 c. 1970 d. 1976 Solve using the quadratic formula. HELP PLZ!
Final answer:
To determine when the number of new cars reaches 15,000, the quadratic equation 26t^2 + 168t + 4208 = 15,000 is solved for t and then added to 1958.
Explanation:
To find the year when the number of new cars reaches 15,000, we need to set the equation C = 26t^2 + 168t + 4208 equal to 15,000 and solve for t, where t is the number of years since 1958.
First, set up the equation: 15,000 = 26t^2 + 168t + 4208.
To solve for t, we subtract 15,000 from both sides to get the quadratic equation: 0 = 26t^2 + 168t - 10,792.
Next, we use the quadratic formula [tex]t = (-b \pm \sqrt{b^2 - 4ac}) / (2a)[/tex], where a = 26, b = 168, and c = -10,792.
Plugging the values into the quadratic formula, we get the two possible solutions for t. After calculating the roots, we discard any negative value as it would not make sense in the context of time since 1958. The positive year will give us the answer we need.
Adding the positive value of t to 1958, we obtain the year in which the number of new cars purchased will reach 15,000.
which best describes the diameter of a circle?
A. The distance from the center to any point of the circle
B. The length of a chord that contains the center of the circle
C. The distance around the circle
D. The length of a chord that does not contain the center of the circle
Which best describes the diameter of a circle?
Statements
A. The distance from the center to any point of the circle
This statement describes the radius of the circle
B. The length of a chord that contains the center of the circle
This statement describes the diameter of the circle
C. The distance around the circle
This statement describes the circumference of the circle
D. The length of a chord that does not contain the center of the circle
This statement describes a line segment linking any two points on a circle that does not contain the center of the circle
therefore
the answer is the option
B. The length of a chord that contains the center of the circle
The correct answer is:
B) The length of a chord that contains the center of the circle
Explanation:
A chord is a segment that goes across a circle, with both endpoints on the circle.
A diameter goes through the center of a circle and has both endpoints on the circle; this makes it a chord that goes through the center.
Find a and b so that the polynomial, p(x)=x^2+ax-b passes through the points (6,-9) and (1, 16)
The given equation is:
p(x) = x^2 + ax - b
We write this in terms of y:
y = x^2 + ax – b
To solve for the values of the constants a and b, we are given the following conditions:
When x = 6, y = -9
When x = 1, y = 16
From these conditions, we can formulate two equation by substituting the values of y:
-9 = 6^2 + a(6) – b
6a = b – 45 ---> 1
16 = 1^2 + a(1) – b
a = b + 15 ---> 2
Combining equations 1 and 2:
6 (b + 15) = b – 45
6b + 90 = b – 45
5b = -135
b = -27
calculating for a using equation 1:
a = b + 15
a = -27 + 15
a = -12
Answers:
a = -12
b = -27
Not sure ^^^^^^^^^^^
Convert: 52 cups = ________ qt.
1 cup = 0.25 quarts
52 *0.25 = 13 quarts
13 is the answer HOPE THAT HELPS
True or false the difference of two numbers is less than either of those two numbers
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −3
0 0
1 3
g(x)
g(x) = 7x + 2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 17 ft by 17 ft by 2 in. for a patio if the concrete costs $40.00 per cubic yard? (1 cubic yard = 27 cubic feet)
Answer:
It will cost approximately $71.360.
Step-by-step explanation:
Given,
The dimension of the concrete is 17 ft by 17 ft by 2 in.
1 ft = 12 inches ⇒ 2 inches = 1/12 × 2 = 1/6 ft.
Thus, the dimension of the concrete is 17 ft by 17 ft by 1/6 ft.
Now, the volume of the concrete = 17 × 17 × 1/6
[tex]=\frac{289}{6}\text{ cubic ft}[/tex]
We know that,
1 cubic yard = 27 cubic feet
[tex]\implies 1 \text{ cubic feet}=\frac{1}{27}\text{ cubic yards}[/tex]
[tex]\implies \frac{289}{6}\text{ cubic ft}=\frac{289}{6}\times \frac{1}{27} = \frac{289}{162}\text{ cubic yards}[/tex]
Since, the concrete costs $40.00 per cubic yard.
Hence, the total cost of concrete = [tex]\frac{289}{162}\times 40=\frac{11560}{162}=\$71.3580247\approx \$71.360[/tex]
The total cost of concrete is,
C = $71.4
We have to give that,
Dimensions of the concrete are,
17 ft by 17 ft by 2 in.
And, the concrete costs $40.00 per cubic yard.
Since we know that,
1 feet = 12 inches
Hence,
2 inches = 2/12 = 1/6 feet
Thus, the dimension of the concrete is 17 ft by 17 ft by 1/6 ft.
So, the Volume of the concrete,
V = 17 x 17 x 1/6
V = 48.2 cubic feet
Here, 1 cubic yard = 27 cubic feet
And, the concrete costs $40.00 per cubic yard.
Hence, the total cost of concrete is,
C = 48.2 × 40 / 27
C = $71.4
To learn more about the volume visit:
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if y varies inversely as x, and y=20 as x=3, find y for the x value 4
(-3,1) perpendicular to y=2/5x-4
For the graphed function f(x) = (2)x + 2 + 1, calculate the average rate of change from x = −1 to x = 0. graph of f of x equals 2 to the x plus 2 power, plus 1. (6 points) −2 2 3 −3
Next time you should write the correct form of equation because it affects greatly the answer. I believe the correct form would be:
f (x) = 2 * x^2 + 1
where the second 2 is a power of x
The average rate of change is also defined as the slope of the equation. Therefore:
average rate of change = slope
Where slope is:
m = (y2 – y1) / (x2 – x1) = [f (0) – f (-1)] / (x2 – x1)
Calculating for f (0): x2 = 0
f (0) = 2 * 0^2 + 1 = 1
Calculating for f (-1): x1 = -1
f (-1) = 2 * (-1)^2 + 1 = 3
Substituting the known values to the slope equation:
average rate of change = (1 – 3) / (0 – 1)
average rate of change = -2 / -1
average rate of change = 2
Answer: 2
Answer:
I believe the proper form of this question is actually... as I have also come across this question.
"For the graphed function f(x) = (2)^(x + 2) + 1, calculate the average rate of change from x = −1 to x = 0."
Step-by-step explanation:
the y2 - y1/ x2 - x1, will actually be (-1,3) and (0,5).
This means you will get a 5 + 1 (because subtracting a -1 is the same as adding 1) over 0 - 3.
Next you have 6/-3 which will give you a answer of -2
Now I do believe the proper answer is actually 2 because the graph shows a chart that is growth, not decay, but the math gives a -2 which is confusing.
If the discriminant of an equation is negative, which of the following is true of the equation
A it has two complex solutions
B it has one real solution
C it had two real solutions
Answer:
A. It has two complex roots.
Step-by-step explanation:
We are given that
Discriminant of an equation =negative
We have to find which is true about the equation .
Let quadratic equation
[tex]ax^2+bx+c=0[/tex]
Discriminant=[tex]D=b^2-4ac[/tex]
If D < 0 , then the equation has complex roots.
Therefore, if the discriminant of an equation is negative then the equation has two complex roots.
Answer:A. It has two complex roots.