Answer:
[tex]4\sqrt{2}[/tex]
Step-by-step explanation:
[tex]5\sqrt{50} - 3\sqrt{200} + 3\sqrt{18}[/tex] =
= [tex]25\sqrt{2} - 30\sqrt{2} + 9\sqrt{2}[/tex] = [tex]4\sqrt{2}[/tex]
y = -x^2 + 6x - 5 , zeros
Answer:
x = 1, x = 5
Step-by-step explanation:
To find the zeros let y = 0, that is
- x² + 6x - 5 = 0 ( multiply through by - 1 )
x² - 6x + 5 = 0 ← in standard form
(x - 1)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 5 = 0 ⇒ x = 5
The second quartile in a box-and-whisker plot would be located on what number?
Answer:
35
Step-by-step explanation:
if you order the numbers from least to greatest, there are 14 numbers (which is even which means their is going to be two median. when you have two medians you add them and then divide them by 2) 35 + 35 = 70, 70 divided by 2 is 35. the answer is 35!
What number represented by point P???
Answerrrrrr:
5.7-10^3
The value of point P on the number line is 5.7-10^3.
We have given the diagram,
We have to determine the value of P.
P is a point on the number line.
What is the meaning of the number line?
a line on which numbers are marked at intervals used to illustrate simple numerical operations.
Therefore the value of point P is,
5.7-10^3
The number line shows the value of the points and equal partitions on the line.
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Find the slope of each line.
1) y=− x−5
2) y=− x−1
1) slope = -1
2) slope = -1
Nicholas sent a chain letter to his friends, asking them to forward the letter to more friends. Every 121212 weeks, the number of people who receive the email increases by an additional 99\%99%99, percent, and can be modeled by a function, PPP, which depends on the amount of time, ttt (in weeks).
The number of people who receive Nicholas's chain letter can be modeled by an exponential growth function. Every 12 weeks, the number of people who have received the letter can be calculated by the formula P(t) = P0(1 + 0.99)^t, where P0 is the initial number of people, and t is the time in weeks.
Explanation:The number of people who receive Nicholas's chain letter is represented by the function P(t) = P0(1 + r)^t, where P0 is the initial number of people, r is the rate of increase (expressed as a decimal), and t is the time in weeks. In this case, r is equal to 99%, or 0.99. So every 12 weeks, the number of people who have received the letter can be modeled as P(t) = P0(1 + 0.99)^t. This is an example of an exponential growth function, which is often used in real-world scenarios where the rate of something increases rapidly, such as interest in a bank account or population growth.
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Please help me, due today, please dont just guess
Answer:
10% / .10 is the answer to the question.
What is the area of the rectangle: 6/7 x 1 yard
Answer:
0.857142857 yards
Step-by-step explanation:
How does the sign of a affect the domain and range of ()=?f of , open x close . equals eh , x squared , question mark
Answer:
(See explanation for further details).
Step-by-step explanation:
The sign does not affect the domain, as second-order polynomials are continuous functions. Nonetheless, the sign affect the range of function in the sense that elements can be lesser and equal to zero (a < 0) or greater and equal to zero (a > 0).
The sign of 'a' in the function f(x) = ax2 affects the direction the parabola opens, influencing the range of the function, either [0, ∞) for a positive 'a' or (-∞, 0] for a negative 'a'. The domain, which is always (-∞, ∞), isn't affected by 'a's sign.
Explanation:In mathematics, the function f(x) = ax2 is a quadratic function where 'a' is the coefficient of x2. The sign of 'a' determines whether the parabola opens upward or downward. When 'a' is positive, the parabola opens upward hence making the range of the function [0, ∞) because the lowest point (vertex) is on the x-axis and it extends to positive infinity. If 'a' is negative, the parabola opens downward, and the range becomes (-∞, 0] as the highest point is on the x-axis and it extends to negative infinity.
The domain of f(x) = ax2 does not depend on the 'a' value; it is always all real numbers because x can be any real number regardless of the value of 'a'. Therefore, the domain is always (-∞, ∞).
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A cone is a solid made from a polygonal base, a point not in the same plane, as the base, and all points between them.
A. True
B. False
Answer:
Step-by-step explanation:false
Which unit would you need fewer of to measure a tree?
To measure the height of a tree, feet would be the most suitable unit .
When determining which unit you would need fewer of to measure a tree, it's important to consider units that are an appropriate scale for the object in question. Since a tree is typically more than a few feet tall, but significantly less than a mile tall, we would use feet as the unit of measurement. Using yards would require us to measure in much smaller segments than a whole yard, and using inches would take a long time to measure the full height. Therefore, the most suitable unit to measure the height of a tree would be feet, as this unit provides a balance between precision and efficiency. For fieldwork where estimation of tree density is needed, aspects like basal area might be measured using a factor prism in a defined plot area, such as a 0.04-ha (0.1-acre) plot, to estimate the density of trees in a larger area.
25 students in a high school health class are asked to write down what foods they ate last week. Of the 25
students, 14 write steak, 6 write chicken, and 5 write both steak and chicken. Using this information, answer
each of the following questions,
Let S be the event that a randomly selected student writes steak and C be the event that a randomly selected
student writes chicken.
What is P(S), the probability that a student writes steak?
What is P(C), the probability that a student writes chicken?
What is P(S and C), the probability that a student writes steak and chicken?
What is P(S or C), the probability that a student writes steak or chicken?
The probability of event S(students writing steak) was calculated as 14/25, event C(students writing chicken) as 6/25, while both occurring(S and C) as 5/25. From these the combined probability of either of these two events occurring(S or C) was determined by summing the individual probabilities and subtracting the combined one thus, 14/25+6/25-5/25.
Explanation:The subject matter relates to the field of probability in Mathematics, focusing on two independent events namely, S (student writes steak) and C (student writes chicken). Here, the total number of students 25 serves as our sample space.
The probability of event S, P(S), is equal to the number of students who write steak over the total number of students. So, P(S) = 14/25. The probability of event C, P(C), is similarly calculated. That is, P(C) = 6/25.The probability that both events S and C occur, denoted as P(S and C), can be obtained by the division of the number of students who write both steak and chicken by the total number of students. So, P(S and C) = 5/25.The probability that either event S or C occur, written as P(S or C) is calculated by adding the probabilities of each event and then subtracting the probability of them occurring together. Thus, P(S or C) = P(S) + P(C) - P(S and C) = 14/25 + 6/25 - 5/25.Learn more about Probability here:https://brainly.com/question/32117953
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What is 3.3 to the 25th power
Answer:
9.1801229e+12 or 9.18
Answer: 9180122932497.328
Step-by-step explanation: 3.3*3.3*3.3......=9180122932497.328
Zack, Jack and Sasha earned £250 altogether delivering leaflets.
Zack delivered 50%.
Jack delivered 30%.
Sasha delivered 20%.
They are each paid according to the number of leaflets they delivered.
How much did each person earn?
Answer:
Zack earned £125, Jack earned £75, and Sasha earned £50
Step-by-step explanation:
Considering the number of leaflets delivered
Zack 50%, Jack 30% and Sasha 20%
Total delivered = 50 + 30 + 20 = 100%
If they earn £250 on the 100% delivery, then each will have as shown below
Zack = (50/100)*250
= 5*25
= £125
Jack = (30/100)*250
= 3*25
= £75
Sasha = (20/100)*250
=2*25
= £50
Answer:
£125, £75 and £50
Step-by-step explanation:
Zack delivered 50%
Therefore, Zack earned
50% of £250
50/100 x £250
0.5 x 250
£125
Zack earned £125
Jack delivered 30%, therefore
Jack earned
30% of £250
0.3 x £250
£75
Jack earned £75
Sasha delivered 20%
Therefore, Sasha earned 20% of £250
20/100 x £250
0.2 x £250
£50
Sasha earned £50
Zack + jack + Sasha = £250
£125 + £75 + £50 = £250
Two wires with lengths of 448 cm and 616 cm are to be cut into pieces of all the same length without a remainder. Find the greatest possible length of the pieces?
SOMEBODY PLZ HELP!!! wih this question.
The greatest possible length for the pieces into which two wires of lengths 448 cm and 616 cm can be cut without a remainder is 56 cm, which is the Greatest Common Divisor of the two lengths.
For the lengths given, 448 cm and 616 cm, the GCD can be found using the Euclidean algorithm.
Divide 616 by 448 and find the remainder: 616 / 448 gives a quotient of 1 and a remainder of 168.
Next, divide the former divisor (448) by the remainder (168) to get a new quotient and remainder: 448 / 168 gives a quotient of 2 and a remainder of 112.
Repeat this process using the previous remainder: 168 \/ 112 gives a quotient of 1 and a remainder of 56.
Continue the process: 112 / 56 gives a quotient and remainder of 2 and 0, respectively.
Therefore, the greatest possible length for equally-sized pieces of wire without remainder is 56 cm.
Which expression is equivalent to 30x + 15y?
a)45xy
b)xy+45
c)15(2x+y)
d)15xy(2x+y)
Answer:
C
Step-by-step explanation:
because 15*2x=30x and 15*y= 15y and since they are adding in the parentises you add again 30x*15y
You survey 320 students. 40 students' favorite sport is soccer. About how many students' favorite sport is football at a school of 1,600 students.
Answer:
200 (?)
Step-by-step explanation:
If 320 is divied by 40, you get 8.
If 1600 is divided by 8, you get 200
im like 90% sure sorry
What is the circumference of the circle? if the diameter is 33 Please help
Answer:
C = 33pi or approximately 103.62
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d where d is the diameter
C = pi*33
We can approximate pi by 3.14
C = 33*3.14
103.62
Answer:
103.62 units
Step-by-step explanation:
Radius = 33/2 = 16.5 units
Circumference = 2 × 3.14 × 16.5
= 103.62
Katrina wants to buy a CD for $1000 that earns 2.5% APR and is compounded
quarterly. The CD matures in 5 years and the early redemption fee is 3
months' interest. If Katrina wants to take her money out 3 months before the
CD matures, how much money would she get back, after the early redemption
fee?
O A. $1119.42
O B. $1226.71
O c. $1025.39
O D. $1031.64
Answer:
1119.42
Step-by-step explanation:
Final answer:
Katrina would receive an amount closest to $1,119.42, thus option A is the closest answer.
Explanation:
Katrina is looking at a Certificate of Deposit (CD) which has certain terms for compounded interest and an early redemption fee. To calculate how much she would get back if she withdraws the money 3 months before the CD matures, we need to do the following steps:
Calculate the compounded amount of the CD after 4.5 years since it is compounded quarterly.Calculate the interest for 3 months (1 quarter).Subtract the 3 months' interest from the total compounded amount to account for the early redemption fee.The formula for compounded interest is [tex]A = P(1 + r/n)^{(nt)}[/tex], where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).r is the annual interest rate (decimal).n is the number of times that interest is compounded per year.t is the time the money is invested for, in years.For this problem:
P = $1000r = 0.025 (2.5% annual interest rate)n = 4 (compounded quarterly)t = 4.5 years (since we are calculating for 3 months before the 5 years)Let's calculate:
A = $[tex]\$1000(1 + 0.025/4)^{(4*4.5)}[/tex] = A ≈ $1,131.64
Now we calculate the 3 months' interest which is essentially the interest for one quarter:
Interest for one quarter = (A for 4.75 years) - (A for 4.5 years)
We calculate A for 4.75 years using t = 4.75 and subtract A for 4.5 years:
A for 4.75 years = [tex]\$1000(1 + 0.025/4)^{(4*4.75)}[/tex] ≈ $1,144.12
Interest for one quarter = $1,144.12 - $1,131.64 ≈ $12.48
Finally, subtracting the early redemption fee:
Amount after fee = $1,131.64 - $12.48 ≈ $1,119.16
The actual amount after subtracting the early redemption fee from the compounded total closest matches option A. $1119.42.
Carter is deep-sea diving with two friends. Anita is exploring a coral reef 60 feet in front of Carter, and Gabe is floating on the surface directly above Carter. If Gabe and Anita are 87 feet apart, how far apart are Carter and Gabe?
63 feet
Explanation: if you do 87 squared subtracted by 60 squared you get 63 squared and if you square root that you get 63
Answer:
63 feet
Step-by-step explanation:
A. $1,200
B. $1,080
C. $24
D. $810
Answer:
Option B, $1080
Step-by-step explanation:
Step 1: Identify which option is correct
To find the initial amount of money you need to find the y-int or the value of y when the x value is 0.
So... when the x value is zero on this graph, the y-int or y value is 1080
Answer: Option B, $1080
Taro uses a coordinate systemwith units of feet to keep frack of the locations of any objects he finds with his metal detector. One lucky day he found a ring at (5,7) and an old coin at (10,19). How far apart were the ring and coin before taro found them? Round them to the nearest tenth if necessary.
Answer:
The distance between ring and coin is 13 units apart.
Step-by-step explanation:
[tex] \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } [/tex]
Using this formula, you are able to find the distance between the ring and the old coin :
Let (x1,y1) be (10,19),
Let (x2,y2) be (5,7),
D = √(10-5)²+(19-7)²
= √5²+12²
= √25+144
= √169
= 13 units
Answer: 13 units
Step-by-step explanation:
Let (x1,y1) be (10,19),
Let (x2,y2) be (5,7),
D = √(10-5)²+(19-7)²
= √5²+12²
= √25+144
= √169
= 13 units
The table shown below represents a function. Which of the following values could not be used to complete the table?
In a function/relation no x value can be repeated twice. -20 and -15 can be values that can complete the table because those x values haven't been mentioned in the function at all. -5 cannot be a value that can be used in the function becuase thats an x-value thats already stated in the function.
Therefore, the answer is -5
Best of Luck!
an angle measure of 55.45 is converted to DMS notation as
Converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds
Step-by-step explanation:
We need to convert angle measure of 55.45 to DMS notation
DMS notation is Degree Minute and seconds
Solving:
We have 55.45, the value before decimal is considered as degrees and values after decimal can be minutes and seconds.
We can write it as 55 and 0.45
So, we have 55 degrees
To find minutes we will multiply 0.45 by 60
0.45*60 = 27 minutes
Since we have no decimal value in minutes so seconds will be 0
So, DMS will be 55 degrees 27 minutes 0 seconds
Hence converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds
Does anyone know these two they both have the same answer choices please help
Answer:
7. yes, obtuse
8. no triangle
Step-by-step explanation:
7.
3, 7, 9
Do these side lengths form a triangle?
Add the two smaller numbers: 3 + 7 = 10
Since 10 is greater than 9, these three side lengths do form a triangle.
Now we qualify the triangle.
c^2 ? a^2 + b^2
The ? is there because we don';t know yet if it will be =, >, or <.
9^2 ? 3^2 + 7^2
81 ? 9 + 49
81 ? 58
Since 81 is greater than 58, now we know to use >.
81 > 58
Since c^2 is greater than a^ + b^2, the triangle is obtuse.
Answer: Yes these side lengths form a triangle, and the triangle is obtuse.
8.
4, 11, 16
Add the two small lengths: 4 + 11 = 15
Since 15 < 16, these three side lengths do not form a triangle.
Answer: no triangle
A barge that is used to transport wheat is the shape of a rectangular prism and is 90 feet long, 35 feet wide, and 12 feet deep. What volume of wheat can the barge hold?
Answer: 37,800
Step-by-step explanation: 35x90x12= 37,800
Final answer:
The barge, which is shaped like a rectangular prism and measures 90 feet in length, 35 feet in width, and 12 feet in depth, can hold up to 37,800 cubic feet of wheat.
Explanation:
To determine the volume of wheat that a rectangular prism-shaped barge can hold, we use the formula for the volume of a rectangular prism: Volume = length × width × height. Given that the barge is 90 feet long, 35 feet wide, and 12 feet deep, we calculate the volume as follows:
Volume = 90 feet × 35 feet × 12 feet
Volume = 37,800 cubic feet
Therefore, the barge can hold up to 37,800 cubic feet of wheat.
Which is the solution to s - 89-77
a. 18.6667
b. 15.4851
с.
d.
30.9702
-3.9459
Please select the best answer from the choices provided
оооо
Answer:
The answer is B
Step-by-step explanation:
Tobin is solving the equation 3(x - 1.25) = 11.25. His work is shown below.
What mistake did Tobin make?
a
Tobin did not make a mistake.
b
Tobin should have subtracted 3.75 from each side.
c
Tobin did not distribute the 3 correctly.
d
Tobine should have divided by 3.
Answer:
b
Step-by-step explanation:
Player Points
Travis 6
Marcus 7
James 17
Taylor 2
Hector 1
Julio 22
Jonah 8
Chris 11
Scott 14
The points from a recent game for nine members of the high school basketball team are shown in the table. Which statement is true?
A) The mean is equal to the mode.
B) The range is less than the mode.
C) The median is greater than the mean.
D) The mean is greater than the median.
Answer:
ok the mean is 9.77778
mode is none
range is 21
median is 8
so D would be the only answer choice that matches
Step-by-step explanation:
Answer:
D) The mean is greater than the median
Step-by-step explanation:
Trevor sees 8 red birds. He sees 5 more red birds than blue birds hkw many. Blue birds does trevor see
please help me, i cant figure this out
Answer:
4
7
10
13
16.
Step-by-step explanation:
Just substitute the term number into the formula:
The first term a1 = (1 + 3k)
= 1 + 3(1) = 4.
a2 = 1 + 3(2) = 7.
- and so on.