Set up a proportion:
\( \frac{1}{80} = \frac{x}{320} \)
Cross multiply:
\(80x = 320\)
Divide both sides by 80 to isolate x:
\(x = 4\)
It takes four hours to travel to a location 320km away. Furthermore, it would take 8 hours to go to that location and return.
Help me pleaseeeeee I need help
4. If the measures of angles A and B of triangle
ABC are each 2x + 5 and the measure of angle
C is 3x – 5, what is the measure of angle exterior
to angle A?
Answer:
5x
Step-by-step explanation:
. If the measures of angles A and B of triangle
ABC are each 2x + 5 and the measure of angle
C is 3x – 5, what is the measure of angle exterior
to angle A?
Using the theorem
The sum of interior angle of a triangle is equal to its exterior
Given the interior angles 2x+5 and 3x-5
Sum= 2x+5+3x-5
Sum = 2x+3x+5-5
Sum = 5x+0
Sum = 5x
Hence the measure of the exterior angle is 5x
Discuss the rational subgroup concept. What part does it play in control chart analysis?.
The rational subgroup concept is a subset of data where variation is due to common causes only. This type of subgroup is used in control chart analysis to make sure that variation in the process is predictable and does not include any special causes of variation.
Control charts are graphical representations of process data over time. They help in detecting the changes or variations in the process and identify the root cause of the variation. Control charts are used to analyze process performance and identify areas where improvement is needed. The rational subgroup concept plays an essential role in the control chart analysis as it helps in selecting the appropriate data to plot on the control chart.To use control charts, a subgroup of data must be selected. The rational subgroup concept ensures that the data in the subgroup is due to common causes only and does not include any special causes of variation. By selecting a rational subgroup, the control chart shows the natural variation in the process and helps in identifying any trends or patterns that require attention.
Control charts are graphical representations of process data over time. They help in detecting the changes or variations in the process and identify the root cause of the variation. Control charts are used to analyze process performance and identify areas where improvement is needed.The rational subgroup concept plays an essential role in the control chart analysis as it helps in selecting the appropriate data to plot on the control chart. By selecting a rational subgroup, the control chart shows the natural variation in the process and helps in identifying any trends or patterns that require attention. The rational subgroup concept ensures that the data in the subgroup is due to common causes only and does not include any special causes of variation. This ensures that the control chart is an accurate representation of the process performance and helps in identifying areas where improvement is needed.Overall, the rational subgroup concept is a critical part of the control chart analysis. It ensures that the control chart accurately reflects the process performance and helps in identifying areas where improvement is needed. By selecting a rational subgroup, the control chart shows the natural variation in the process and helps in identifying any trends or patterns that require attention.
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dentify ALL pairs of parallel and perpendicular lines in the image below.
Step 1: redraw the figure given
Step 2: State the relationship between the lines
It can be observed that
(i) line XY is perpendicular to line PS
\(\text{line XY}\perp line\text{ PS}\)(ii) line XY is perpendicular to line QT
\(\text{line XY}\perp lineQT\)(iii) line PS is parallel to line QT
\(\text{line PS}\parallel lineQT\)Hence, XY⊥PS, XY ⊥ QT, PS ║ QT, The Second option.
The volume of a triangular prism is 365 cm. Its height is 25 cm. What is the area of the base of the triangular prism in square centimeters?
HELP ASAP PLS
The area of the base of the triangular prism in square centimeters is 14.6 square centimeters.
What is a triangular prism?In Mathematics, a triangular prism can be defined as a geometric shape (figure) with five (5) faces in total. Generally speaking, a triangular prism comprises two (2) triangular bases and three (3) rectangular lateral faces.
How to calculate the volume of a triangular prism?Mathematically, the volume of a triangular prism is calculated by using this formula:
Volume = base area × height of the prism.
365 = base area × 25
Base area = 365/25
Base area = 14.6 square centimeters.
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Which expressions are equivalent to the expression 18b+24? Select all that apply. *
A.6(3b+4)
B.6(3b+8)
C.2(96-12)
D.3(6b+8)
E.3(6b+4)
F.2(9b+12)
Answer:
A, D, F
Step-by-step explanation:
6(3b+4)=18b+24
6(3b+8)=18b+48
2(96-12)=192-24
3(6b+8)=18b+24
3(6b+4)=18b+12
2(9b+12)=18b+24
Michael takes a sip of water every 20 minutes while playing soccer. He took his first sip at 3:05. When did he take his sixth sip?
Answer:
Michael took his 6th sip at 4 : 05
Step-by-step explanation:
Duration in which Michael takes a sip of water = 20 minutes
Therefore, he will take his sixth sip after (20 × 6) = 120 minutes Or after 2 hours
If he takes first sip of water at 3 : 05
Then he will take his sixth sip at ( 3 : 05 + 2 : 00)
Time at his sixth sip = 5 : 05
write each equation in vertex form. then identify the vertex, axis of symmetry and direction of opening. y=x^2+8x+\:18 , y=-\:x^2\:\:12x\:-\:36 and y=2x^2\:+\:12x\:+\:13
The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.
The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.
Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.
1. y = x² + 8x + 18
To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.
The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2
. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.
The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.
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PLEASE HELPP THIS SHOULD BE EASY!!!
Yolanda earned $375 for working 25 hours last week. What is her hourly rate??
Answer:
her hourly pay is 15
Step-by-step explanation:
375 (earned) ÷ 25 (hrs worked) = 15
i hope this helps have a good day!
Part A
To compare the linear functions, you first need to find their equations. For each of the linear functions, write an equation to represent the puppy's
weight in terms of the number of weeks since the person got the puppy.
Part B
Now you can compare the functions. In each equation, what do the slope and y-intercept represent in terms of the situation?
When the linear functions of Amit and Camille's puppies are compared, the weight of Camille's puppies increases directly with age, whereas Amit's puppies are irregular.
What is linear function?Linear functions have a straight line as their graph. The following is the form of a linear function. a + bx = y = f(x). There is one independent variable and one dependent variable in a linear function. x is the independent variable, and y is the dependent variable.
Camille's dog:
slope: 0.5
1.5 y-intercept
Camille's puppy began at 1.5 pounds and is now gaining 0.5 pounds per week.
Olivia's dog:
slope: 1
4 is the y-intercept.
Olivia's puppy began at 4 pounds and gains one pound per week.
The slope represents the amount of weight gained by the puppy each week. The y-intercept denotes the puppy's initial weight.
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In finance, we need to do partial observations of data and estimate the data generating process (DGP) -- for example, log-normal returns. Sometimes, we can observe only the data points of a certain process, but we don't know what is the function generating the process. Consider the following graph is a plot of the f ′
(x), of a function f(x) given. What is the underlaying function ( f(x −
i)) that is the generator of the observed points in the plot f ′
(x −
i), for points x −
1=−1,x −
2=−0.9,…,x −
n=1?
The underlying function f(x - i) that generates the observed points f'(x - i) in the plot can be determined by integrating the observed points. By integrating f'(x - i), we can obtain f(x - i) up to a constant of integration.
The constant of integration can be determined by incorporating additional information or constraints related to the problem or by considering the behavior of the function at a specific point.
To find the underlying function f(x - i) that generates the observed points f'(x - i), we need to integrate the observed points.
Integration is the reverse process of differentiation, so by integrating f'(x - i), we can recover f(x - i) up to a constant of integration.
The constant of integration arises because integration does not provide a unique solution.
The constant represents an arbitrary additive term that can vary depending on the specific problem or additional constraints.
To determine the constant of integration, we may need additional information or consider specific conditions related to the problem.
It is also important to note that the accuracy of estimating the underlying function f(x - i) depends on the quality and quantity of the observed data points f'(x - i). More data points and precise measurements can lead to a better estimation of the underlying function.
Additionally, the behavior of the function at a specific point can provide valuable insights for determining the constant of integration and refining the estimation of the underlying function.
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I fell asleep in class can someone please help me?
Answer:
Step-by-step explanation:
Right cylinder
Solve for volume
V=πr2h
yen said the additive inverse of 8 is -8 becuase positive 8 and negative 8 added together equals zero do you agree? why or why not
Answer:
I do agree
Step by Step Explanation:
You can try it out, just draw a number line with positive and negative integers and set your pencil on 8 and go back 8 places since it is -8 and that equals 0.
simplify this expression: 10x-5y+2x-3y
Answer:
12x - 8y
Step-by-step explanation:
Find the value of x. (2x +4)° 2x-9)°
Answer: x=3
Step-by-step explanation: 2x +4)° 2x-9)°= 4x 2 +8x−9=3
Pull out like factors :
2x + 4 = 2 • (x + 2) (4 • (x + 2) • x) - 9
4x • (x + 2) - 9
Factoring 4x2+8x-9
The first term is, 4x2 its coefficient is 4 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 4 • -9 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is 8 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5
-6 + 6 = 0
-4 + 9 = 5
-3 + 12 = 9
-2 + 18 = 16
-1 + 36 = 35
x=3
The value of x for the given triangle is 37°.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
The sum of all interior angles of a triangle is 180°.
So,
x + 2x +4 + 2x-9 = 180°
5x - 5 = 180°
x = 37°
Hence "The value of x for the given triangle is 37°".
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Given question is missing an image attached below;
Three times the sum of a number, n, and 5 is at least 17. Which of the following inequalities properly models
this statement?
(1) 3n+5<17
(3) 3(n+5) 217
(2) 3n+5217
(4) 3(n +5) <17
Answer:
Step-by-step explanation:3
Answer: 3(n + 5) ≥ 17
HOPE THIS HELPS
Using the black numbers on the stop watch to answer the questions
what is the most accurate reading seconds as indicated by the long second hand?
1st answer: 5.3s
2nd answer: Tenths of seconds
Answer:
r = 0.84
Step-by-step explanation:
The mean reading time obtained with the stopwatch measurements was 4.34 ± 0.57 seconds (196.21 ± 21.79 wpm), versus 4.44 ± 0.59 seconds (192.24 ± 22.20 wpm) by computer measurement (r = 0.84).
write 81 as a repeated multiplication of (-3)s. Then write it as a power
Answer:
(-3) x (-3) x (-3) x (-3)
(-3)²
An example of Instructional Task Learning is the Count on Sesame Street counting to 10.
T
F
The statement that an example of Instructional Task Learning is the Count on Sesame Street counting to 10, is True.
What is instructional task learning ?Instructional task learning refers to a type of education where students gain expertise in a particular skill or concept by completing multiple tasks that have been specifically devised to aid them in mastering the subject matter.
On Sesame Street, the students are acquiring the knowledge of numerically counting up to 10 via the character of Count. The Count offers several activities aimed at imparting the same skill to learners, including object counting, singing songs that involve counting, and engaging in counting games. Through the completion of these assignments, students can proficiently acquire the ability to accurately count up to 10.
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Simplest radical form
Answer:
\(4 \sqrt{5} \)
☽------------❀-------------☾
Hi there!
~
\(4\sqrt{5}\)
⇒Using the law of radicals
\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)
⇒ \(\sqrt{80}\)
⇒ \(\sqrt{16} \times 5\) \(= \sqrt{16}\) × \(\sqrt{5}\) \(= 4\sqrt{5}\)
❀Hope this helped you!❀
☽------------❀-------------☾
Brigid is picking strawberries at the Pick-Your-Own Farm. Her goal is to pick 5 bushels of strawberries. She has already picked 1
1
2
bushels, and she picks at a rate of
5
8
bushel per hour. The scenario is represented as
5
8
h + 1
1
2
= 5, where h is the number of hours she picks. How many more hours will it take Brigid to fill 5 bushels of strawberries?
2 and StartFraction 3 Over 16 EndFraction hours
2 and StartFraction 3 Over 16 EndFraction hours
5 and three-fifths hours
10 and two-fifths hours
Answer:
We can start by isolating the variable "h".
5 8 h + 1 1 2 = 5
Subtracting 11/2 from both sides:
5 8 h = 5 - 1 1 2
Simplifying:
5 8 h = 8 1 2
Dividing both sides by 5/8:
h = 8 1 2 ÷ 5 8
Converting the mixed number to an improper fraction:
h = (8 x 8 + 1) ÷ 5 8
h = 65/8
Now, we can convert this fraction to a mixed number:
h = 8 1/8
Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:
5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8
Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).
Step-by-step explanation:
An accountant purchase of the T-bill with a face value of $6000 for 5945 Dollars if the term of the T-bill is 125 days What is the annual simple interest rate in percent earned by the client round to the nearest 10th of a percent use 360
Answer:
2.6%
Explanation:
We'll use the below formula to determine the interest rate;
\(Interest\text{ rate }=\frac{(face\text{ value - initial purchase prise)}}{\text{face value}}\cdot\frac{360}{days\text{ of maturity}}\)We're given the below parameters in the question;
*Initial purchase price = $5945
*Face value (future value) = $6000
*Days of maturity = 125
Let's now substitute the above values into our formula and solve for the Interest rate as seen below;
\(\begin{gathered} \text{Interest rate }=\frac{(6000-5945)}{6000}\cdot\frac{360}{125} \\ =\frac{55}{6000}\cdot\frac{360}{125} \\ =0.00916666667\cdot2.88 \\ =0.0264 \\ =2.6\text{\%} \end{gathered}\)The formula c = 5p + 210 relates c, the total cost in dollars of hosting a birthday party at a skating rink, to
p, the number of people attending. If Allie's parents are willing to spend $365 for a party, how many
people can attend?
The number of people that can attend the party is ___
Which of these lengths could be the sides of a triangle?
A) 5 cm, 19 cm, 14 cm
B) 14 cm, 24 cm, 8 cm
C) 19 cm, 5 cm, 15 cm
D) 24 cm, 14 cm, 9 cm
Answer:
c
Step-by-step explanation:
in order for it to be a triangle the smaller sides have to add up to be greater than the longest side
for a 5+14=19 so that is not a triangle because the side dont add up to be greater than 19
for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24
for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side
for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24
Can i have some help please. You are smart if you can get it. ;)
The value of d for the given expression will be 3.68.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate a triangle's side length and angle.
The given expression is,
dsin24 = 1.5
The value of 'd' will be calculated as,
dsin24 = 1.5
d = ( 1.5 / sin24)
d = 3.68
Therefore, the value of d for the given expression will be 3.68.
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Write the answer as an algebraic expression, then evaluate using the given values:
Mr. Tan is four times as old as his son. If the son is (y + 1) years old, how is Mr. Tan if y = 10?
Answer:
40+1
Hope this helps!
Sheila needs to spin a number greater than 2 to win. On the game spinner below, what is the probability of her winning?
Answer:
4
Step-by-step explanation:
I think I'm not sure but please let me know if it is helpful
Please help me solve this problem please?!
Answer:
x=4 y=6
Step-by-step explanation:
because they passing through the line and cut
hope it helps
An author published a book which was being sold online. The first month the author
sold 22000 books, but the sales were declining steadily at 7% each month. If this
trend continues, how many total books would the author have sold over the first 20
months, to the nearest whole number?
The author would have sold 365396 books over the first 20 months.
The author sold 22000 books in the first month, and the sales declined by 7% each month.
This means that the number of books sold in each subsequent month is 93% of the number sold in the previous month (since 100% - 7% = 93%). Therefore, the number of books sold in the second month is:
0.93×22000
= 20460
The number of books sold in the third month is:
0.93 × 20460 = 19007
To find the total number of books sold over the first 20 months, we can use the formula for the sum of a geometric series:
S = a(1 - rⁿ) / (1 - r)
Substituting the values, we get:
S = 22000(1 - 0.93²⁰) / (1 - 0.93)
S = 22000(0.766)/0.07
S=240743
Therefore, the author would have sold 365396 books over the first 20 months.
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14% out of 100% equals how many people out of 10?
Answer:
1.4 people out of 10
Step-by-step explanation:
Just divide it by 10
Answer:
only 4 people