Answer:
Let the speed of train B be x mph. Then, the speed of train A is (x+30) mph, since it is traveling 30 mph faster.
We can use the formula:
time = distance / speed
to set up two equations, one for each train:
time taken by train A = 240 / (x+30)
time taken by train B = 150 / x
Since the two trains take the same amount of time to travel their respective distances, we can set these two equations equal to each other:
240 / (x+30) = 150 / x
Cross-multiplying, we get:
240x = 150(x+30)
240x = 150x + 4500
90x = 4500
x = 50
So, the speed of train B is 50 mph, and the speed of train A is 50+30 = 80 mph.
Therefore, train A was traveling at 80 miles per hour and train B was traveling at 50 miles per hour.
5 + 5 + 5 + 5 + 220+ 30004
Answer:
30244
Step-by-step explanation:
Some values of functions f, g, h, and k are provided in the table on the right.
Find a possible equation of each function Verify your results with a graphing
calculator table. (HINT Use linear or exponential equations]
The equation of function f is f(x) =?
Without any values of the functions f, g, h, and k, it is not possible to find the equation of each function. The equation of a function can be determined by analyzing the values of the function. Based on the given values, a possible equation can be found and then verified by plotting the points on a graph and seeing if they align with the equation.
It's important to note that the equation can be a linear or exponential equation but it's impossible to determine it without any values.
Match each multiplication expression on the left with the best estimate of its product on the right. (80)(30) = 2,400 29.3 x 5.9 81.4 x 32.1 32.9 x 4.81 46.7 x 31.7 59.3 x 3.57 (30)(6) = 180 (30)(5) = 150 (60)(4) = 240 (50)(30) = 1,500 Done
Here is the final matching of multiplication expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173
81.4 x 32.1 ≈ 2,618
32.9 x 4.81 ≈ 158
46.7 x 31.7 ≈ 1,479
59.3 x 3.57 ≈ 212
Match each multiplication expression on the left with the best estimate of its product on the right:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9
81.4 x 32.1
32.9 x 4.81
46.7 x 31.7
59.3 x 3.57
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
Estimates for the remaining expressions:
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
Matching the expressions with their estimated products:
(80)(30) = 2,400
(30)(6) = 180
(30)(5) = 150
(60)(4) = 240
(50)(30) = 1,500
29.3 x 5.9 ≈ 173.27
81.4 x 32.1 ≈ 2,612.94
32.9 x 4.81 ≈ 158.05
46.7 x 31.7 ≈ 1,480.39
59.3 x 3.57 ≈ 211.46
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quickly help 2//////////////////////////////////
Answer:
A. , C. ,
Step-by-step explanation:
Because perimeter is the area around. there are 4 sides, and two of them are same, and the other two are same. add the sides to get 6.
Answer:
Step-by-step explanation:
multiply each dimension by 2 (P=2W+2L). Only A and C add up to 6 (2+4)
-2\tfrac{1}{2}-\Big(-4\tfrac{3}{5}\Big)
−2 /2/1 −(−4 3/5)
The value of the fraction expression -2 1/2 - (-4 3/5) is 2 1/10
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
−2 /2/1 −(−4 3/5)
Express properly
So, we have the following representation
-2 1/2 - (-4 3/5)
Remove the brackets
This gives
-2 1/2 - (-4 3/5) = -2 1/2 + 4 3/5
Express the denominator as 10
So, we have
-2 1/2 - (-4 3/5) = -2 5/10 + 4 6/10
Evaluate the difference
-2 1/2 - (-4 3/5) = 2 1/10
Hence, the solution is 2 1/10
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( 100 POINTS!!!!!!!!!!!!!!!!!!!)
please i really need these no uncool answers.
Part C
Now you will attempt to copy your original triangle using only two of its sides and the included angle:
Using point E as the center, draw a circle with a radius equal to the length of
, which you calculated in part B.
Using point E as the vertex and
as one side of the angle, create an angle that is equal to the measure of
. Draw ray
.
Locate the intersection of the ray and the circle, and label the point F.
Complete
by drawing a polygon through points D, E, and F.
Take a screenshot of your results, save it, and insert the image below.
∠BCA is of measure= 180 degree.
What are angles?Two lines intersect at a location, creating an angle.
An "angle" is the term used to describe the width of the "opening" between these two rays. The character is used to represent it.
Angles are frequently expressed in degrees and radians, a unit of circularity or rotation.
In geometry, an angle is created by joining two rays at their ends. These rays are referred to as the angle's sides or arms.
An angle has two primary components: the arms and the vertex.
the two rays' shared vertex serves as their common terminal.
according to our question-
sum of angles in a triangle = 180 degree
adding all the angles in the triangle=45+45+90
180
Hence, ∠BCA is of measure= 180 degree.
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The answers to choose from are -40, 130, 53, -63, -140, 265, 234
First we need to know how to convert radians to degrees
\(d=\text{r}\cdot\frac{180}{\pi}\)where r is the measure in radians and d is the measure in degrees
for A.
r=53pi/36
\(d=\frac{53\pi}{36}\cdot\frac{180}{\pi}=265\)the measure in degrees is 265°
for B.
r= 13pi/18
\(d=\frac{13\pi}{18}\cdot\frac{180}{\pi}=130\)the measure in degrees is 130°
for C.
r=-7pi/20
\(d=-\frac{7\pi}{20}\cdot\frac{180}{\pi}=-63\)the measure in degrees is -63°
for D.
r=-2pi/9
\(d=-\frac{2\pi}{9}\cdot\frac{180}{\pi}=-40\)the measure in degrees is -40°
if Austin burns 120 calories per 30 minutes of weight training how many calories would he burn in 10 minutes?
please help I have a test in 1 hour and I need to know this by then!
Answer:
40 calories per 10 min
Step-by-step explanation:
Because 30 divided by 3 is 10 and 120 divided by 3 is 40
Which relationship represents a function with a greater rate
of change than the function graphed?
The relationship that represents a function with a greater rate of change than the function graphed is given as follows:
A. y = 4x - 3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b.
The slope represents the average rate of change of a linear function.
From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:
m = -2.
For function A, the function is defined as follows:
y = 4x + 3.
Hence the rate of change is given as follows:
m = 4, which is greater than -2.
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PLS HELP ME WITH THIS I HAVE BEEN STUCK FOR OVER AN HOUR
Use the function f(x) to answer the questions.
f(x) = −16x2 + 24x + 16
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answer:
See Explanation
Step-by-step explanation:
A. f(x) = -16x² +24x + 16
0 = -8(2x² - 3x - 2) ⇒ -8(2x + 1)(x - 2) = 0 ⇒ x = -1/2, 2
B. f'(x) = -32x + 24 ⇒ 0 = -8(4x - 3) ⇒ x = 3/4
f''(x) = -32 ⇒ f''(3/4) = -32 ⇒ concave down ⇒ maximum
f(3/4) = -16(9/16) + 24(3/4) + 16 = -9 + 18 + 16 = 25
By the second derivative test, the point (3/4, 25) is a maximum.
C. 1. Plot the intercepts. 2. Plug in points. 3. Draw the curve.
Answer:coesm
Step-by-step explanation:
Blank divided by 7 = 4 Remainder 5
Answer:
21
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
7 x 4 = 28
33 - 5 = 28
Sal ordered a chair. He gave a deposit of 20% of the cost and will pay the rest when the chair is delivered. If he deposited $80, how much more does Sal have to pay?
Answer: $320 dollars
Step-by-step explanation:
if he already paid $80 and 20% of 400 is 80 then you would just subtract 80 from 400 to get 320.
A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
Step-by-step explanation:
8x13 kkkxkgkgxkgxkkkxkkk
Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X:(a) f(x) = c(x2 + 4), for x = 0, 1, 2, 3;(b) f(x) = c (2x) (33-x) , for x = 0, 1, 2. 2.^^(2 is supposed to be directly above x, but not in fraction form, same for 3 and 3-x)
The value of c is 1/17.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2
We have to find the value of c
Since f(x) represents the probability distribution x = 0, 1 ,2
So we have f(0)+f(1)+f(2)=1
c(0²+4)+c(1²+4)+c(2²+4)=1
4c+5c+8c=1
17c=1
Divide both sides by 17
c=1/17
Hence, the value of c is 1/17.
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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?
a.
1/3
b.
1/17
c.
1/2
d.
1/13
Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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Find the resistance in a 1238 watt circuit with 120 volt electricity passing through it.
The resistance in the circuit is 11.63 ohms
What is resistance?Resistance is the opposite of the flow of current. It can also be defined as the ratio of square of voltage to the power of a circuit. It is measured in ohms.
The factors that affects the resistance of a conductor are;
1. temperature
2. length of the wire
3. Area of the wire
4. Nature of the wire
power = V²/R
R = V²/P
P = 1238 W
v = 120
R = 120²/1238
R = 14400/1238
R = 11.63 ohms
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Read the sentences. I absolutely detest when people interrupt others who are speaking. It shows a lack of good manners and consideration for the thoughts and words of others. Many people need to listen more and talk less. Why did the author most likely choose to use the word detest as opposed to the word “dislike”?
Answer:
Step-by-step explanation:
They used detest to show their extreme hatred/dislike rather than using dislike to show slight discomfort.
Help me on this question
Answer:
13
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. What is the conjugate? 9sqrt 8sqrt
For an expression (√9 - √8), the conjugate value is obtained as (√9 + √8).
What is a conjugate?
In mathematics, a pair of binomials with identical phrases that part opposite arithmetic operators in the midst of these similar terms are referred to as conjugates.
The expression is given as - (√9 - √8)
The conjugate can be very useful because something multiplied by its conjugate gives squares like this -
(a + b)(a − b) = a² − b²
When the sum and product of the binomial and its conjugate are rational, the conjugate is created by switching the sign between two terms in the binomial.
So, the conjugate of (√9 - √8) is (√9 + √8).
Therefore, the conjugate value is (√9 + √8).
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. What is the conjugate? (√9 - √8)
Hey can anyone help me understand how to graph this?
Answer:
Step-by-step explanation:
?
Weights of babies at the local community hospital have a distribution that is approximately normal with a mean weight of 7.43 pounds and a standard deviation of 1.25 pounds. A premature baby can be classified as being less than 5.51 pounds. A. Find the probability of a randomly selected baby weighing less than 5.51 pounds. B. If 25 babies are randomly selected, what is the probability that their weight will be less than 5.51 pounds?
Answer:
Step-by-step explanation:
Hope this helped
Determine the domain and range for the relation in interval notation.
evaluate the six trigonometric functions at 11pi/3. (give an exact answer, not a decimal approximation.)
The six trigonometric functions at 11π/3 are as follows-
sin (11π/3) = -\(\sqrt{3}\)/2
cos (11π/3) = 1/2
tan (11π/3) = -\(\sqrt{3}\)
cot (11π/3) = -1/\(\sqrt{3}\)
sec (11π/3) = 2
cosec (11π/3) = -2/ \(\sqrt{3}\)
Let us evaluate the six trigonometric functions at 11π/3 as follows -
11π/3 can be written as (6π+5π)/3 = 2π + 5π/3.
a. sin (11π/3) = sin (2π + 5π/3)
this angle is greater than or equal to 0 and less than 2π.
= sin (5π/3)
Finding the angle with equivalent trigonometric values in the first quadrant. Also, sin is negative in the 4th quadrant.
= -sin (π/3)
= -\(\sqrt{3}\)/2
Hence, sin (11π/3) = -\(\sqrt{3}\)/2
b. cos (11π/3) = cos (2π + 5π/3)
this angle is greater than or equal to 0 and less than 2π.
= cos (5π/3)
Finding the angle with equivalent trigonometric values in the first quadrant. Also, cos is positive in the 4th quadrant.
= cos (π/3)
= 1/2
Hence, cos (11π/3) = 1/2
c. tan (11π/3) = tan (2π + 5π/3)
this angle is greater than or equal to 0 and less than 2π.
= tan (5π/3)
Finding the angle with equivalent trigonometric values in the first quadrant. Also, tan is negative in the 4th quadrant.
= -tan (π/3)
= -\(\sqrt{3}\)
Hence, tan (11π/3) = -\(\sqrt{3}\)
d. cot (11π/3) = 1/ tan (11π/3)
Hence, cot (11π/3) = - 1/ \(\sqrt{3}\)
e. sec (11π/3) = 1/ cos (11π/3)
Hence, sec (11π/3) = 2
f. cosec (11π/3) = 1/ sin (11π/3)
Hence, cosec (11π/3) = -2/ \(\sqrt{3}\)
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Stephen is in first grade, and his class is creating pasta necklaces! There are two types of pasta to use on the necklaces: long macaroni pieces, and small rotelle pieces which look like wheels with spokes. The directions are to have no more than 35 pieces of pasta on a necklace, and each string is long enough to hold 20 macaroni noodles or 55 pieces of rotelle. Select all of the true statements below.
Answer:
A: Stephen's necklace Can hold 12 macaroni noodles and 23 pieces of rotelle . C: Stephen's necklace Can have 35 pieces of rotelle E: Stephen's necklace Can have 5 macaroni noodles and 10 pieces of rotelleStep-by-step explanation:
Option A is true because when you add 12 macaroni noodles to 23 pieces of rotelle, you get 35 pieces of Pasta which is the maximum allowed per necklace.
Option B is untrue because 15 macaroni noodles and 21 rotelle pieces add up to 36 pasta pieces which is higher than the maximum of 35 allowed.
Option C is true because 35 pieces of Rotelle is not higher than the maximum allowed.
Option D is untrue because even though they still add up to the maximum allowed, a string can take no more than 20 macaroni noodles and this option shows 21 macaroni noodles which is over the limit.
Option E is true as this combination of macaroni noodles and rotelle below the maximum.
Amanda builds a scale model of a bridge that is 460 feet in length. She has to use 6-inch long toothpicks to build this model. To build a bridge model that is 512 feet in
length, how long will the toothpicks need to be? Round to the nearest whole unit.
6 inches
7 inches
8 inches
None of these choices are correct.
Back
Next
All Previous
Answer:
6 inches
Step-by-step explanation:
460 ÷ 6 = 76.666666.
512 ÷ 76.666666 = 6.672
6.672 rounded to a whole number is 6.
Note:
Pls notify me if my answer is incorrect for the other users that will see this message.
-kiniwih426
The annual rainfall in a certain region is approximately normally distributed with mean 41.4 inches and standard deviation 5.7 inches. Round answers to the nearest tenth of a percent.
Complete question :
The annual rainfall in a certain region is approximately normally distributed with mean 41.4 inches and standard deviation 5.7 inches. Round answers to the nearest tenth of a percent. a) What percentage of years will have an annual rainfall of less than 43 inches? b) What percentage of years will have an annual rainfall of more than 39 inches? c) What percentage of years will have an annual rainfall of between 38 inches and 42 inches?
Answer:
0.61053
0.66314
0.26647
Step-by-step explanation:
Given that :
Mean (m) = 41.4 inches
Standard deviation (s) = 5.7 inches
a) What percentage of years will have an annual rainfall of less than 43 inches?
P(x < 43)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (43 - 41.4) / 5.7 = 0.2807017
p(Z < 0.2807) = 0.61053 ( Z probability calculator)
b) What percentage of years will have an annual rainfall of more than 39 inches? c)
P(x > 39)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (39 - 41.4) / 5.7 = −0.421052
p(Z > −0.421052) = 0.66314 ( Z probability calculator)
What percentage of years will have an annual rainfall of between 38 inches and 42 inches?
P(x < 38)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (38 - 41.4) / 5.7 = −0.596491
p(Z < −0.596491) = 0.27545 ( Z probability calculator)
P(x < 42)
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (42 - 41.4) / 5.7 = 0.1052631
p(Z < 0.1052631) = 0.54192 ( Z probability calculator)
0.54192 - 0.27545 = 0.26647
If Jan can weed the garden in 2 hours and her husband can weed it in 1 hour and 30 minutes, find how long it takes them to weed the garden together.
Answer:
3 hours 30 minutes
Step-by-step explanation:
Jan :2 hours
her husband : 1 hour 30 minutes
2hr + 1 ½ hrs = 3 ½ hrs...that is 3 hours 30 minutes....?
A 99% confidence interval of 3.551 < p <7.989
means that:
Since the formula for P only applies to positive z, the minus sign must be removed if z is negative.We change 1.96 to 1.65 for a CI of 90%, and we use 2.57 for a CI of 99%.
What is the 99% confidence interval's p value? If z is negative, we omit the minus sign because the formula for P only works for positive z.We substitute 1.65 for 1.96 for a CI of 90%, and 2.57 for a CI of 99%.Similar relationships exist between significance at the 0.01 level and the 99% confidence interval.When an effect is significant, the confidence interval's values will all fall on the same side of zero (either all positive or all negative).Simply said, p-values establish a threshold at which we claim that the results are "statistically significant" (p0.05 being the standard). According to a confidence interval that includes the value of no difference between treatments, the investigated therapy is not substantially different from the control.To learn more about confidence interval refer
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if there is a trophy that is 13 inches tall and it's shadow is 26 inches and there's another trophy that's 7 inches tall, whats is it's height?
Five years older than Mukhari. Find the value of the expression if Mukhari is 43 years old.