Answers
Answer:
13
Step-by-step explanation:
\(f(x) = 5 \sqrt{x} + 8 \\ f(1) = 5 \sqrt{1} + 8 \\13\)
Hope this helps..
Related Questions
OBC
OAB
Find the largest side of the triangle. (not
drawn to scale)
104°
in
A
AC
O Not enough information
B
99⁰
C
X
Answers
The largest side of the given triangle is; AB
How to find the largest side of the triangle?Let us first find the missing angles of triangle ABC.
The sum of two opposite interior angles is equal to an exterior angle.
Thus;
∠CBA = 104 - 99
∠CBA = 5°
Sum of angles in a straight line is 180°. Thus;
∠CAB = 180 - 104
∠CAB = 76°
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Thus, AB is opposite 99° and as such will be the largest side.
Read more about triangle largest side at; https://brainly.com/question/28971333
#SPJ1
Select the reason that best supports Statement 6 in the given proof.
Answers
Answer:
B. Distributive Property
Step-by-step explanation:
The equation for the distributive property is
ab+ac = a(b+c)
We, see it similar to statement 6, so it is the correct answer
find the value of x
(7x - 12) 114
Answers
Answer:
(7x-12)=-5
-5x÷-5 114÷-5=
x=29
\((7x - 12) + 114 = 180\)
Reason: The cointerior angles equal 180°
Collecting like terms:
\(7x + 102 = 180 \\ 7x = 180 - 102\)
\(7x = 78\)
Divide both sides of the equation by the coefficient of 7x which is 7.
\( \frac{7x}{7} = \frac{78}{7} \)
\(x = \frac{78}{7} = \\ = 11.14\)
( The decimal answer is not necessary except if asked for)
I hope this helps.A bleach and water solution with a 2:3 ratio means: A 1/3 part bleach and 2/3 part water B 2 cups of bleach and 3 cups of water C 3 cups of bleach and 2 cups of water
Answers
The correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.
A bleach and water solution with a 2:3 ratio means that for every 2 parts of bleach, there should be 3 parts of water. This ratio is typically expressed in terms of volume or quantity.
To understand this ratio, let's break it down using different units:
A. 1/3 part bleach and 2/3 part water:
If we consider 1/3 part bleach, it means that for every 1 unit of bleach, there should be 2 units of water. However, this does not match the given 2:3 ratio.
B. 2 cups of bleach and 3 cups of water:
If we consider cups as the unit of measurement, this means that for every 2 cups of bleach, there should be 3 cups of water. This matches the given 2:3 ratio, making it a valid interpretation.
C. 3 cups of bleach and 2 cups of water:
If we consider cups as the unit of measurement, this means that for every 3 cups of bleach, there should be 2 cups of water. However, this interpretation does not match the given 2:3 ratio.
Based on the given options, the correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.
To know more about interpretation refer here:
https://brainly.com/question/28235829#
#SPJ11
If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answers
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape
SOLVE THESE AND ILL GIVE YOU BRAINLYIEST -_-
Answers
an arithmetic sequence with first term $1$ has a common difference of $6$. a second sequence begins with $4$ and has a common difference of $7$. in the range of $1$ to $100$, what is the largest number common to both sequences?
Answers
The largest number common to both sequences is 67.
The arithmetic sequence with first term 1 has a common difference of 6 is given by:-
1,7,13,19, 25, 31, 37, 43, 49, 55, 61, 67, 73, 79, 85, 91, and 97
The arithmetic sequence with first term 4 has a common difference of 7 is given by:-
4,11, 18, 25, 32, 39, 46, 53, 60, 67, 74, 81, 88, and 95.
I have written the sequence until 100 only.
Hence, the numbers common to both the arithmetic sequences are :-
25 and 67
Hence, the largest number common to both sequences is 67.
To learn more about arithmetic sequence, here:-
https://brainly.com/question/10396151
#SPJ4
In a recent survey, people were each asked the number of times they have been on an airplane. Here is a list of the responses.
20,7,4,6,21,10,4,12
Answers
Answer:
4,4,6,7,10,12,20,21
Step-by-step explanation:
Can somebody help me
Answers
Answer:
14.583333% decrease
Step-by-step explanation:
First find the difference
24000-20500 =3500
Then divide by the original amount
3500/24000 =.14583333
Change to a percent
14.583333% decrease
Answer:
14.6%
Step-by-step explanation:
Use the ol’ reliable: \(\frac{new(value)-old(value)}{old(value)}*100\)
In this case: \(\frac{20500-24000}{24000}*100=-14.6\)
It’s a 14.6% decrease.
a large rectangular swimming pool is 1,000 feet long, 100 feet wide, and 10 feet deep. the pool is filled to the top with water. what is the area of the surface of the water in the pool?100,000 feet squared how much water does the pool hold?1,000,000 feet cubed express your answers to the previous two questions as powers of 10.
Answers
a) The area of the surface of the water in the pool is 100,000 square feet.
b) The pool holds 1,000,000 cubic feet of water when filled to the top.
a) To find the area of the surface of the water in the pool, we can simply multiply the length and width of the pool:
Area of surface of water = length x width
= 1,000 ft x 100 ft
= 100,000 square feet
So, the area of the surface of the water in the pool is 100,000 square feet.
b) To find how much water the pool holds, we need to calculate its volume. The volume of a rectangular prism (like a swimming pool) is calculated by multiplying its length, width, and height
Volume of pool = length x width x height
= 1,000 ft x 100 ft x 10 ft
= 1,000,000 cubic feet
Learn more about area here
brainly.com/question/18102027
#SPJ4
The given question is incomplete, the complete question is:
A large rectangular swimming pool is 1,000 feet long, 100 feet wide, and 10 feet deep. The pool is filled to the top with water.
a) What is the area of the surface of the water in the pool?
b) How much water does the pool hold?
In the figure below, m4=96°. Find mZ1, mZ2, and mZ 3.
Answers
The answer is m∠1 = 84°
Step-by-step explanation:
m∠4 = m∠2 so m∠2 = 96°
m∠1 + m∠2 = 360 - m∠4 - m∠2
m∠1 + m∠2 = 360 - 96 - 96
m∠1 + m∠2 = 168
m∠1 = 168/2
m∠1 = 84°
BP has a bond outstanding with 15 years to maturity, a $1,000 par value, a coupon rate of 6.9%, with coupons paid semiannually, and a price of 98.17 (percent of par) 18 | Attempt 1/10 for 10 pts. Part 1 What is the cost of debt?
Answers
There is an outstanding bond from BP with a 15-year maturity, a $1,000 par value, a 6.9% coupon rate that is paid semi-annually, and a price of 98.17. As a result, the annual cost of debt for this bond is roughly 8.5 percent.
To calculate the cost of debt, we need to determine the yield to maturity (YTM) of the bond. The YTM is the rate of return an investor would earn by purchasing the bond and holding it until maturity. We can use the bond pricing formula to calculate the YTM.
The bond pricing formula is as follows:
\(\text{Bond Price} = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)
Where:
C = Coupon payment
r = Yield to maturity (YTM)
n = Number of periods
M = Par value
Given information:
Coupon payment (C) = \(\$1,000 \times \frac{6.1\%}{2} = \$30.50\)
Par value (M) = $1,000
Bond price = $1,000 × 83.57% = $835.70
We know the bond has 15 years to maturity, and coupons are paid semiannually. So, the number of periods (n) is 15 years × 2 = 30.
Using the bond pricing formula, we can rearrange it to solve for the YTM:
\(Bond Price = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)
Substituting the given values:
\($835.70 = \left(\frac{{\$30.50 \times (1 - (1 + r)^{-30})}}{{r}}\right) + \left(\frac{{\$1,000}}{{(1 + r)^{30}}}\right)\)
To find the YTM, we need to solve this equation either algebraically or using numerical methods like trial and error or using financial calculators/spreadsheets.
By using a financial calculator or spreadsheet, we find that the YTM is approximately 8.5%. Therefore, the cost of debt for this bond is approximately 8.5% per year.
To know more about the yield to maturity refer here :
https://brainly.com/question/26376004#
#SPJ11
Complete question :
Problem 17 Intro BP has a bond outstanding with 15 years to maturity, a $1,000 par value, a coupon rate of 6.1%, with coupons paid semiannually, and a price of 83.57 (percent of par). | Attempt 1/10 for 10 pts. Part 1 What is the cost of debt? B+ decimals Submit
In the electrolysis of water, how long will it take to produce 9.59 mol H2 in an electrolytic cell through which the current is 126.0 mA
Answers
To determine the time required to produce 9.59 mol of H2 in the electrolysis of water, we need to calculate the total charge (Q) required using Faraday's law of electrolysis. The equation relating charge (Q), current (I), time (t), and Faraday's constant (F) is:
Q = I * t
The charge (Q) can be determined by multiplying the current (I) by the time (t). Rearranging the equation to solve for time:
t = Q / I
We also need to consider the relationship between the charge (Q) and the moles of hydrogen gas (H2) produced during electrolysis. From the balanced chemical equation of water electrolysis:
2 H2O → 2 H2 + O2
We can see that 2 moles of H2 are produced for every 2 moles of water, or 1 mole of H2 for every mole of water.
Given that 9.59 mol of H2 will be produced, we know that the same number of moles of water (9.59 mol) will be electrolyzed. This implies that 9.59 mol of water will require 9.59 moles of electrons.
One mole of electrons corresponds to a charge of 1 Faraday (F), which is approximately equal to 96,485 C.
Using the given current of 126.0 mA (0.126 A) and Faraday's constant:
Q = (9.59 mol H2) * (2 mol e^- / 1 mol H2) * (96,485 C / 1 mol e^-)
Q ≈ 1,846,153 C
Now we can calculate the time required using the equation:
t = Q / I
t = (1,846,153 C) / (0.126 A)
t ≈ 14,639,622 seconds
Therefore, it will take approximately 14,639,622 seconds to produce 9.59 mol of H2 in the electrolysis of water with a current of 126.0 mA.
Learn more about Faraday's constant (F) here:
https://brainly.com/question/31604460
#SPJ11
after a translation 5 units left and 6 units down.
Answers
We will investigate the translation transformation applied on a figure defined on a cartesian coordinate grid.
Translation transformation deals with the displacement of the primary vertices of a figure like a square JKLM with certain number off units in horizontal and/or vertical direction.
We will investigate the type of translations that are possible as follows:
\((\text{ x , y ) }\to\text{ ( x + a , y + b )}\)Where,
\(\begin{gathered} a\colon\text{ Number of horizontal units shifts} \\ b\text{ : Number of vertical units shifts} \end{gathered}\)AND,
\(\begin{gathered} a\text{ > 0 }\ldots\text{ Right shift} \\ a\text{ < 0 }\ldots\text{ Left shift} \\ a\text{ = 0 }\ldots\text{ No horizontal shift} \\ \\ b\text{ > 0 }\ldots\text{ Up shift} \\ b\text{ < 0 }\ldots\text{ Down shift} \\ b\text{ = 0 }\ldots\text{ No Vertical shift} \end{gathered}\)We will investigate how to use the above rule to determine the image of the square JKLM.
We will translate each vertex 5 units left and 6 units down! We will assign the constants a value according to the translation units:
\(\begin{gathered} a\text{ = -5} \\ b\text{ = -6} \end{gathered}\)The general rule that will be applied to the vertices of the square JKLM:
\((\text{ x , y ) }\to\text{ ( x - 5 , y - 6 )}\)The four coordinate of the square are:
\(J\text{ ( 1 , -3 ) , K ( 9 , -3 ) , L ( 9 , 5 ) , M ( 1 , 5 )}\)Applying the general rule to determine the image of all vertices:
\(\begin{gathered} J\text{ ( 1 , -3 ) }\to\text{ J' ( 1 -5 , -3 - 6 ) }\to\text{ J' ( -4 , -9 )} \\ K\text{ ( 9 , -3 ) }\to\text{ K' ( 9 -5 , -3 - 6 ) }\to\text{ K' ( 4 , -9 )} \\ L\text{ ( 9 , 5 ) }\to\text{ L' ( 9 -5 , 5 - 6 ) }\to\text{ L' ( 4 , -1 )} \\ M\text{ ( 1 , 5 ) }\to\text{ M' ( 1 - 5 , 5 - 6 ) }\to\text{ M' ( -4 , -1 ) } \end{gathered}\)The image of the square JKLM is as follows:
\(J^{\prime}\text{ ( -4 , -9 ) , K' ( 4 , -9 ) , L' ( 4 , -1 ) , M' ( -4 , -1 )}\)We can plot these images on the grid as follows:
if I'm 2 lessons into a class and my progress bar says that I am 1/3 of the way complete. How many lessons are in the class?
Answers
Answer:
Well you have 6 lessons in total.
Step-by-step explanation:
if you finished 2 lessons you are 1/3
It is basically the same as 2/6 lessons
so
2/6 = 1/3
You have 6 lessons
Answer:
6
Step-by-step explanation:
5.6 as a fraction show all work
Answers
Answer:
5 6/10
Step-by-step explanation:
I can't really write a fraction but it would be 5 the 6 over 10. Hope this helps!
A sector with a central angle measure of 4pie/5 (in radians) has a radius of 5cm.
What is the area of the sector?
Answers
Thank you hope it helped
Answer:10pi cm^2
Step-by-step explanation:
Based on a recent survey of 500 students,
the circle graph below shows how students
communicate
with friends.
How many more students chose social
media apps than phone calls to
communicate with friends?
A. 180 students
B. 12 students
C. 300 students
D. 36 students
Answers
Help me with this 9 math
Answers
The height of the cylinder is 4 feet.
How to find the height of a cylinder?The volume of a cylinder can be found as follows;
volume of a cylinder = base area × height
Therefore,
base area = πr²
volume of the cylinder = 48π ft³
base area = 12π ft²
Therefore, let's find the height of the cylinder as follows:
48π = 12π × h
divide both sides of the equation by 12π
h = 48π / 12π
h = 4 ft
Therefore,
height of the cylinder = 4 feet
learn more on volume here: https://brainly.com/question/28512386
#SPJ1
006. MY NOTES ASK YOUR TEACHER Find the cost of operating a 1500-watt TV set for 6 h at a cost of $0.06 per kilowatt-hour. Use the formula c = 0.001wtk, where c is the cost of operating an appliance, w is the number of watts, t is the time in hours, and k is the cost per kilowatt-hour.
Answers
Answer: you start bye doing th
Step-by-step explanation:
Then you start too do
Which graph represents a function?
A.
D.
B.
C.
Answers
answer correctly and ill give BL
Answers
Answer:
the ratio is 1/2
Step-by-step explanation:
because each number is times 2
Answer:
0.5 or 1/2
Step-by-step explanation:
plz mark as brainliest
since every inch, is 2 gallons
for a standard normal distribution, find: p(-1.62 < z < 2.01)
Answers
The probability of the interval -1.62 < z < 2.01 in a standard normal distribution is approximately 0.9262 or 92.62%.
In a standard normal distribution, the mean is 0 and the standard deviation is 1. The z-score represents the number of standard deviations a data point is from the mean. To find the probability of a specific interval, we calculate the area under the curve between the corresponding z-values.
Given the interval -1.62 < z < 2.01, we need to find the area under the standard normal curve between these two z-values. This can be done using a standard normal distribution table or by using a statistical software or calculator.
By looking up the z-values in the table or using software, we find the corresponding probabilities: P(z < -1.62) = 0.0526 and P(z < 2.01) = 0.9788.
To find the probability of the interval -1.62 < z < 2.01, we subtract the probability of the lower bound from the probability of the upper bound: P(-1.62 < z < 2.01) = P(z < 2.01) - P(z < -1.62 = 0.9788 - 0.0526 = 0.9262.
Learn more about normal distribution here:
https://brainly.com/question/15103234
#SPJ11
a value at the center or middle of a data set is a ____
a. measure of center
b. measure of spread
c. sample
d. outlier
Answers
A value at the center or middle of a data set is typically used as a measure of center, representing a central tendency or average of the data. Common measures of center include the mean (average), median (middle value when the data is sorted), and mode (most frequently occurring value). These measures provide insights into the typical or central value of the data set. Measures of spread, on the other hand, quantify the variability or dispersion of the data.
A value at the center or middle of a data set is a measure of center. It is a statistical value that represents the central or average value of a dataset.
In statistics, a measure of center refers to a value that represents the central tendency or average of a data set. It provides a single value that summarizes the central or typical value of the data. The measure of center is used to understand the central position or location of the data points.
Common measures of center include the mean, median, and mode. The mean is calculated by summing all the values in the data set and dividing by the total number of values. The median is the middle value of a sorted data set, or the average of the two middle values if there is an even number of values. The mode represents the value that occurs most frequently in the data set.
These measures of center help in understanding the central tendency of the data and provide a representative value around which the data points are distributed. They are useful for summarizing and analyzing data sets, allowing for comparisons and making inferences about the data.
Learn more about data here:
brainly.com/question/30676635
#SPJ11
what is the gcf of 12a²,15a³,18a5
Answers
Answer:
\(3a {}^{2} \)
The ice cream shot has several options to choose from.
chocolate
vanilla
sugar
cone
strawberry
mint
chocolate
vanilla
waffle
cone
strawberry
mint
How many possible outcomes can be made from the diagram above?
O 2
O4
O 6
O 8
Answers
Answer:
8
Step-by-step explanation:
there are 672 eggs in 6 identical boxes. How many eggs are in each box.
Answers
Answer:
112
Step-by-step explanation:
672/6 = 112
Answer:
112
Step-by-step explanation:
672 divided by 6 is 112. There are 112 eggs in each box.
On a map where each unit represents 100 miles, two airports are located at P(1,17) and Q(12,10). What is the distance, to the nearest whole mile, between the two airports?
Answers
The distance between the two airports, to the nearest whole mile, is 13 miles.
To find the distance between two points on a map, you can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of the two airports are P(1,17) and Q(12,10). Using these coordinates, we can calculate the distance between them.
x1 = 1
y1 = 17
x2 = 12
y2 = 10
Distance = √((12 - 1)^2 + (10 - 17)^2)
Distance = √(11^2 + (-7)^2)
Distance = √(121 + 49)
Distance = √170
Distance ≈ 13.04
Since each unit on the map represents 100 miles, the distance between the two airports is approximately 13.04 units. Rounding to the nearest whole mile, the distance is 13 miles.
for similar questions on airports.
https://brainly.com/question/31675873
#SPJ8
Based on your work in finding the length of a given arc, which method was easier, calculating with degrees or radians?
Answers
When possible, it is often easier and more convenient to use radians to calculate arc length.
We have,
When calculating the length of a given arc, using radians is generally considered easier and more straightforward than using degrees.
This is because the formula for arc length in radians is simpler and involves fewer conversion factors.
The formula for arc length in radians is given by:
Arc length = rθ
where r is the radius of the circle, and θ is the central angle of the arc measured in radians.
On the other hand, the formula for arc length in degrees is given by:
Arc length = (πr/180)θ
where π is the mathematical constant pi, r is the radius of the circle, and θ is the central angle of the arc measured in degrees.
As you can see, the formula for arc length in degrees requires the additional conversion factor of π/180, which can make the calculations more complex and prone to errors.
Therefore,
When possible, it is often easier and more convenient to use radians to calculate arc length.
Learn more about arc lengths here:
https://brainly.com/question/16403495
#SPJ1
1) A lotto urn contains 3 balls: R(red), G(green), B(blue). How many 4-draw permutations are there if, after each draw, the ball is returned to the urn? Repeats are necessary since we make more draws than there are balls in the urn, and order is important and RBGB is considered a different draw from BRGB. PERMUTATION with REPETITION.
2) A lotto urn contains 3 balls: R(red), G(green), B(blue). How many 4-draw combinations are there if, after each draw, the ball is returned to the urn? Repeats are necessary since we make more draws than there are balls in the urn, but order is unimportant and RBGB is considered the same draw as BRGB. COMBINATION with REPETITION.
3) A lotto urn contains 7 balls: R(red), O(orange), Y(yellow), G(green), Blue(blue), I(indigo), V(violet). How many 3-draw combinations are there? There are "no repeats" because the balls are not returned after a draw, but order is unimportant because RBG is considered the same draw as BRG. COMBINATION without REPETITION.
Answers
The answers to each sub-question are:
1) there are 81, 4-draw permutations.
2) there are 15, 4-draw combinations.
3) there are 35 3-draw combinations.
What are the permutations and combinations?
A permutation is to select an object then arrange it and it cares about the orders while a Combination is about only selecting an object without caring about the orders.
1. For each of the four draws, there are three possible balls that can be drawn (R, G, or B). Since repeats are allowed and order is important, we can use the formula for permutations with repetition:
\(n^r\), where n is the number of options for each draw and r is the number of draws.
In this case, n = 3 and r = 4, so the number of 4-draw permutations is:
3⁴ = 81
Therefore, there are 81 4-draw permutations.
2. For each of the four draws, there are three possible balls that can be drawn (R, G, or B). Since repeats are allowed and order is unimportant, we can use the formula for combinations with repetition:
(n+r-1) choose r, where n is the number of options for each draw and r is the number of draws.
In this case, n = 3 and r = 4, so the number of 4-draw combinations are:
(3+4-1) choose 4 = 6 choose 4 = 15
Therefore, there are 15 4-draw combinations.
3. There are 7 balls in the urn, and we want to choose 3 of them without replacement (no repeats) and without regard to order (order is unimportant). We can use the formula for combinations without repetition:
n choose r, where n is the total number of objects and r is the number we want to choose.
In this case, n = 7 and r = 3, so the number of 3-draw combinations are:
7 choose 3 = (7 x 6 x 5) / (3 x 2 x 1) = 35
Therefore, there are 35 3-draw combinations.
Hence, the answers to each sub-question are:
1) there are 81, 4-draw permutations.
2) there are 15, 4-draw combinations.
3) there are 35 3-draw combinations.
To learn more about the permutations and combinations visit,
https://brainly.com/question/4658834
#SPJ1