Answer:
A?
Step-by-step explanation:
*90 points* Pls help and give full responses pls!! Look at the graph in the pic.
A. Compare the distances relative to Columbus from which the trains begin their trip.
B. Tom claims both trains traveled at the same speed over a certain interval. Sara claims that both trains traveled at different speeds the entire time. Justify which claim is correct.
Type your answer in the space provided.
Answer:
A. Train A begins 1800 miles from Columbus while train B begins 1200 miles from Columbus
B. Train A travels at a constant rate because its graph is a linear equation. Train B does not move until 1pm, when it starts moving towards Columbus at the same speed as train A. I know that trains are traveling at the same speed at a certain interval because they have the same slope at that interval. Because the train was moving at the same speed as train A over a certain interval, Tom is correct.
Step-by-step explanation:
One interior angle and one exterior angle are marked on the 7-sided shape
below.
Calculate the size of the exterior angle x.
Т
134°
The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.
How to Calculate the Size of the Exterior Angle of a Polygon?To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:
Interior angle + Exterior angle = 180°
Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:
134° + Exterior angle = 180°
To isolate the exterior angle, we subtract 134° from both sides of the equation:
Exterior angle = 180° - 134°
Simplifying further:
Exterior angle = 46°
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A sign in a bakery gives these options:
12 cupcakes for $29
24 cupcakes for $56
50 cupcakes for $129
a. Find each unit price to the nearest cent.
The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.
Define unitary methοd.Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.
Here,
We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:
Twelve cupcakes:
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> Unit cοst: $29 fοr 12 cupcakes.
=> $2.42 is the unit cοst per cupcake.
Tο make 24 cupcakes:
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> 24 cupcakes equals $56 fοr the unit.
=> $2.33 is the unit cοst per cupcake.
50 cupcakes =
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> $129 fοr a unit οf 50 cupcakes.
=> Unit cοst: $2.58 fοr each cupcake
As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.
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HELP CALCULUS 25 POINTS
Answer:
A.) Max at x = 6 and Min at x = -6
Step-by-step explanation:
We say that f(x) has a relative (or local) maximum at x=c if f(x)≤f(c) f ( x ) ≤ f ( c ) for every x in some open interval around x=c . We say that f(x) has an absolute (or global) minimum at x=c if f(x)≥f(c) f ( x ) ≥ f ( c ) for every x in the domain we are working on.
1/6 and 3/8 rewrite them to get common denominators and whole number numerators
Step-by-step explanation:
hey ! the answer would be : -
1×4/24
and
3×3/24
that is
4/24
and 9/24
a rectangular auditorium seats 2244 people. The number of seats in each row exceeds the number of rows by 7. Find the number of seats in each row
Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.
Find the number of seats in each row:
Here in the question it is given that,
a rectangular auditorium seats 2244 peoplenumber of seats in each row exceeds the number of rows by 7We have to find the number of seats in each row.
Let us assume that the number of seats in each row be x.
From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,
Number of seats in one row = Number of rows + 7
x = Number of rows + 7
⇒ Number of rows = x - 7
Total number of seats in the auditorium can be written as,
⇒ (Number of seats in one row)(Number of rows) = Total number of seats
(x)(x - 7) = 2244
x² - 7x = 2244
⇒ x² - 7x - 2244 = 0
By using quadratic formula we can find the root,
x = (-b ± √b² - 4ac)/2a
here in the question, a = 1, b = -7, c = -2244
√b² - 4ac = √(-7)² - 4(1)(-2244)
√b² - 4ac = √49 + 8976
√b² - 4ac = √9025
√b² - 4ac = 95
x = (-b ± √b² - 4ac)/2a
x = (7 ± 95)/2
x = 102/2 or x = -88/2
⇒ x = 51 or x = -44
Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.
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please help me solve. blank I have 9 and blank 2 I have 5. blank 2 is correct but not blank 1.
We have that
\(\begin{gathered} 3\cdot\sqrt[]{45}=3\cdot(\sqrt[]{9\cdot5}) \\ =\text{ 3(}\sqrt[]{9}\cdot\sqrt[]{5}\text{)} \\ =\text{ 3(3 }\cdot\sqrt[]{5}) \\ =9\cdot\sqrt[]{5} \end{gathered}\)So the answer is
\(9\cdot\sqrt[]{5}\)Question 8 of 10
Which part of the scientific process includes the use of scientific methods?
A. Scientific knowledge
B. Experimentation
C. Observation
D. Analyzing data
Answer: C my bad just took the test it's C :)
Step-by-step explanation:
The part of the scientific process that includes the use of scientific methods is observation. So, option C is correct.
What is the scientific method?The scientific method is a method of research that includes systematic steps such as observing the problem and knowledge, forming a hypothesis, testing the hypothesis, and analyzing the test result.
So, the question should find possible solutions to solve a particular problem.
Thus, the part of the scientific process includes the use of scientific methods is observation.
So, the option C is correct.
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3x(x-3)=12 How do you solve this
Step-by-step explanation:
3x squared -9 = 12
3x squared = 12 + 9
3x squared = 21
am i doing the wrong maths?
is it find what 3x squared is or....
This is a Calculus 1 Problem. Show ALL your work, giving proper context, and make sureIt is written neatly, legibly, and with appropriate organizations. MUST SHOW ALL THE JUSTIFICATION OF THE PROBLEM!!!Question 1(1)
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
step 1: Write the given function
\(f(x)=\frac{\sqrt{x+a^2}-a}{x},a>0\)STEP 2: Get the domain of f(x)
\(\begin{gathered} The\:domain\:of\:a\:function\:is\:the\:set\:of\:input\:or\:argument\:values\:for\:which\:the\:function\:is\: \\ real\:and\:defined \\ \\ Combine\:real\:regions\:and\:undefined\:points\:for\:final\:function\:domain \\ x\ge \:-a^2 \end{gathered}\)Hence, the domain of f will be:
\(x\ge-a^2\)
Jamie has 60 dvds twenty are comedy 20 are drama,10 are western and 10 are action if she chooses a dvd to watch tonight, what is the probability that it will not be an action movie?
Question provided in attachment.
We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.
How to calculate the valueSample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18
= 480 / 18
≈ 26.667
Sample Standard Deviation (s):
= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))
≈ ✓(319.778 / 17)
≈ ✓(18.81)
≈ 4.336
Confidence level = 99%
Sample Size (n) = 18
Sample Mean = 26.667
Sample Standard Deviation (s) = 4.336
Degrees of Freedom (df) = n - 1 = 18 - 1 = 17
Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.
Margin of Error (E) = 2.898 * (4.336 / ✓18))
≈ 3.748
Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)
= (22.919, 30.415)
We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.
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Equation of a line in slope intercept form and standard form Slope of -1/2 and contains point (-2, 5)
We can use the point slope formula to find the slope intercept form of the equation.
\(y-y1=m(x-x1)\)Where m is the slope and x1 and y1 are the coordinates of the given point. Replace for the given values:
\(y-5=-\frac{1}{2}(x-(-2))\)Now, solve for y to find the slope intercept form of the equation:
\(\begin{gathered} y-5=-\frac{1}{2}x-1 \\ y=-\frac{1}{2}x-1+5 \\ y=-\frac{1}{2}x+4 \end{gathered}\)The equation of the line is:
\(y=-\frac{1}{2}x+4\)
Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost?
Answer:
10
Step-by-step explanation:
given the equation x^{2} = 8y what are the coordinates of the focus
Answer:
Focus -> \((0,2)\)
Step-by-step explanation:
Because the x-term is squared, the parabola must be vertical.
Recall that the equation for a vertical parabola is \(4p(y-k)=(x-h)^2\) where \(p\) is the distance from the vertex \((h,k)\) to the focus and \((h,k+p)\) are the coordinates of the focus.
We can tell by the given equation that the vertex must be located at the origin.
Therefore, we can determine the value of \(p\) having known the vertex and the direction of the parabola:
\(4p(y-k)=(x-h)^2\)
\(4p(y-0)=(x-0)^2\)
\(4py=x^2\)
\(4py=8y\)
\(4p=8\)
\(p=2\)
So, given that \(p=2\), this means that the coordinates of the focus are \((0,2)\).
An isosceles triangle whose sides are 5cm, 5cm and 6cm is inscribed in a circle. Find the radius of the circle.
Answer:
To find the radius of the circle inscribed in an isosceles triangle, we can use the following formula:
r = (a/2) * cot(π/n)
where r is the radius of the inscribed circle, a is the length of one of the equal sides of the isosceles triangle, and n is the number of sides of the polygon inscribed in the circle.
In this case, we have an isosceles triangle with two sides of 5cm and one side of 6cm. Since the triangle is isosceles, the angle opposite the 6cm side is bisected by the altitude and therefore, the two smaller angles are congruent. Let x be the measure of one of these angles. Using the Law of Cosines, we can solve for x:
6^2 = 5^2 + 5^2 - 2(5)(5)cos(x)
36 = 50 - 50cos(x)
cos(x) = (50 - 36)/50
cos(x) = 0.28
x = cos^-1(0.28) ≈ 73.7°
Since the isosceles triangle has two equal sides of length 5cm, we can divide the triangle into two congruent right triangles by drawing an altitude from the vertex opposite the 6cm side to the midpoint of the 6cm side. The length of this altitude can be found using the Pythagorean theorem:
(5/2)^2 + h^2 = 5^2
25/4 + h^2 = 25
h^2 = 75/4
h = sqrt(75)/2 = (5/2)sqrt(3)
Now we can find the radius of the inscribed circle using the formula:
r = (a/2) * cot(π/n)
where a = 5cm and n = 3 (since the circle is inscribed in a triangle, which is a 3-sided polygon). We can also use the fact that the distance from the center of the circle to the midpoint of each side of the triangle is equal to the radius of the circle. Therefore, the radius of the circle is equal to the altitude of the triangle from the vertex opposite the 6cm side:
r = (5/2) * cot(π/3) = (5/2) * sqrt(3) ≈ 2.89 cm
Therefore, the radius of the circle inscribed in the isosceles triangle with sides 5cm, 5cm, and 6cm is approximately 2.89 cm.
I need help with this homework question please and thankyou
The formula for continuously compounded interest is
\(\begin{gathered} A=Pe^{rt} \\ \text{ Where }A\text{ is the Amount or future value} \\ P\text{ is the Principal, or initial value} \\ r\text{ is the interest rate, and} \\ t\text{ is the time} \end{gathered}\)So, in this case, we have
\(\begin{gathered} A=\text{ \$}1,000 \\ P=\text{ \$}200 \\ r=4\text{\% }=\frac{4}{100}=0.04 \\ t=\text{ ?} \end{gathered}\)\(\begin{gathered} A=Pe^{rt} \\ \text{ Replace the know values} \\ \text{\$}1,000=\text{\$}200\cdot e^{0.04t} \\ \text{ Divide by \$200 from both sides of the equation} \\ \frac{\text{\$}1,000}{\text{\$}200}=\frac{\text{\$}200\cdot e^{0.04t}}{\text{\$}200} \\ 5=e^{0.04t} \\ \text{ Apply natural logarithm to both sides of the equation} \\ \ln (5)=\ln (e^{0.04t}) \\ \ln (5)=0.04t \\ \text{ Divide by 0.04 from both sides of the equation} \\ \frac{\ln(5)}{0.04}=\frac{0.04t}{0.04} \\ \boldsymbol{40.2\approx t} \end{gathered}\)Therefore, it will take approximately 40 years for the account to reach $1,000.
What does the fox say?
Answer:
Joff-tchoff-tchoffo-tchoffo-tchoff!
Tchoff-tchoff-tchoffo-tchoffo-tchoff!
Joff-tchoff-tchoffo-tchoffo-tchoff!
Step-by-step explanation:
Answer:
"Joff-tchoff-tchoffo-tchoffo-tchoff!
Tchoff-tchoff-tchoffo-tchoffo-tchoff!
Joff-tchoff-tchoffo-tchoffo-tchoff!"
Suppose a ball is drawn at random from a box containing three white and three black balls. After a ball is drawn, it is then replaced and another drawn. What is the probability that of the ürst four balls drawn, exactly two are white?
Help fast please....
Answer:
152 cm²
Step-by-step explanation:
ILL GIVE YOU BRAiNLIEST I NEED HELP ON THIS ONE
There are 18 green, 11 white, 15 purple, and 7 blue gum balls in a gum ball machine. How many total possible outcomes are there?
a-51
b-7
c-18
d-4
Answer: A. 51
Step-by-step explanation:
Just count all the gum balls in the machine to get the TOTAL possible outcome! (18 green + 11 white + 15 purple + 7 blue gum balls= 51)
Find the missing length for the pair of similar figures
Answer:
Bb
Step-by-step explanation:
Answer:
B. 4.5 mStep-by-step explanation:
Corresponding sides have same ratio:
4/9 = 2/aa = 2*9/4a = 4.5 mCorrect option is B
a (a) Khairul pays $6 for parking his car in a shopping centre for 2.5 hours. Calculate (i) the parking charges per minute, (ii) the amount that he will have to pay if he parks his car in the shopping centre for hours.
Answer:
(i) $0.04, (ii) $2.4
Step-by-step explanation:
(i)
2.5 hours = 150 minutes
150 minutes -->$6
1 minutes --> $(6/150)
1 minutes --> $0.04
(ii)
for 1 hour he has to pay, $0.04 * 60 = $2.4
equation = for ?hours as not informed, $2.4 * hours parked in the centre.
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Solve the equation for y
the answer is C). y= 1/4x + 2
A sports writer wants to see if a football filled with helium travels farther, on average, than a football filled with air. 14 footballs were filled with helium to the recommend pressure and 12 footballs were filled with air to the recommended pressure. The mean yardage for the helium filled footballs was 281 yards with a standard deviation of 3 yards. The mean yardage for the air filled footballs was 233 yards with a standard deviation of 4 yards.
Construct a 80% confidence interval for the mean difference in yardage for the two types of footballs. Assume the populations are normal with equal variances. Round your answers to three decimal places, and use four decimal places for any interim calculations.
We are 80% confident that the interval ( , )contains the true mean difference in yardage between the two types of footballs
we can say with 80% confidence that the true mean difference in yardage between the two types of footballs is between 46.224 and 49.776 yards.
How to solve the question ?
To construct the confidence interval for the mean difference in yardage between the two types of footballs, we first need to calculate the pooled standard deviation and the standard error of the mean difference. Since the sample sizes are large and the populations are assumed to be normal with equal variances, we can use the following formulas:
Pooled standard deviation:
s_p = √[((n1-1)*s₁² + (n2-1)*s₁²)/(n₁+n₂-2)]
s_p = √[((14-1)*3² + (12-1)*4²)/(14+12-2)]
s_p = 3.517
Standard error of the mean difference:
SE = s_p√(1/n₁ + 1/n₂)
SE = 3.517√(1/14 + 1/12)
SE = 1.416
Next, we can calculate the margin of error by multiplying the standard error by the t-value for the 80% confidence level with degrees of freedom equal to n1+n2-2=24. Using a t-table or calculator, we find that the t-value is 1.329.
Margin of error:
ME = tSE
ME = 1.3291.416
ME = 1.776
Finally, we can construct the confidence interval by adding and subtracting the margin of error from the sample mean difference in yardage.
Confidence interval:
(281-233) +/- ME
48 +/- 1.776
(46.224, 49.776)
Therefore, we can say with 80% confidence that the true mean difference in yardage between the two types of footballs is between 46.224 and 49.776 yards. This means that, on average, the football filled with helium travels 46.224 to 49.776 yards farther than the football filled with air.
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The table shows the number of black, silver, and red cars sold by a dealership over the past two years. Which matrix represents the data from the table?
Given the table, we are asked to find which matrix represents the data.
Explanation
The right arrangement is
\(\begin{pmatrix}192&180\\ 146&230\\ 95&71\end{pmatrix}\)Answer: Option C
Es sobre razones y proporciones.
Gerardo y Daniel tienen monedas coleccionables. Si la relación de las monedas de Gerardo a Daniel es de 15 a 28 y ambas colecciones suman 129 monedas, ¿ Cuántas monedas tienen cada uno?
Answer:
como pongo en español
Seth has a triangle that measures 20 inches by 20 inches
by 35 inches. What type of triangle does he have?
Answer:
Isosceles
Step-by-step explanation:
An isosceles triangle is a triangle in which the length of at least two sides are same.
The triangle which Seth has two sides of same length that is 20 inches.
Third side is different.
Hence. the triangle which Seth has is isosceles.
Please help. Will award brainliest
The dimension of the rectangular of a norman window will be 1.6803*3.3606.
What is the area of Rectangle?
In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.
Let r represents the radius, and b be the breadth.
Then, perimeter = 3.14*r+2r+2b = 12
For the dimension needed for the most light to enter we need to maximize the area.
Hence, area of the window : area of the semicircle + area of the rectangle
= \(\frac{3.14*r^2}{2} + 2rb\)
= \(12r - (\frac{3.14+4}{2}) r^2\)
A'(r) = 0
Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m
From this value of r we can calculate the value of b to be;
b= 1.6803m
Thus, a= 3.606m
Thus the required dimension is : 1.6803*33606
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