Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
c) 25 + (-10) – 3 x [2 – (-2)]
Answer:
3
Step-by-step explanation:
25 - 10 -3 × [2-(-2)]
25 - 10 -3 × (2+2)
25 - 10 -3 × 4
25 - 10 - 12
3
Answer:
i don't really know if it's correct 25-10-6x-2x
15-8x
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Module 3 Mini Project
While there were about 3,000,000 people (about the population of Arkansas)
who visited the zoo last year, the number of people who visited in each
month was different. For example, people are more likely to visit the zoo in
July than they are in January. For that reason, the zoo raises its prices during
the months when there are a lot of visitors (peak season) and lowers its
prices during the months when there are not as many visitors (off season).
During peak season the zoo has about 1,800,000 visitors. Write an
expression to show how much money would be made during peak season
where p is the price of one peak season ticket.
The zoo wants to sell tickets in the off season for half of the price of tickets
in the peak season. Write an expression to show how much money would be
made during the off season where p is the price of one peak season ticket.
To break even the zoo needs to make at least how much money they spent
on the animals. Write and solve an inequality to find out how much the price
of one peak season ticket should be where p is the price of one peak season
ticket. How much should one off season ticket be?
Money made during peak season = 1,800,000 * p
1. Expression for money made during peak season:
During peak season, the zoo has about 1,800,000 visitors. To calculate the money made during peak season, we multiply the number of visitors by the price of one peak season ticket (p):
Money made during peak season = 1,800,000 * p
2. Expression for money made during the off season:
The zoo wants to sell tickets in the off season for half the price of tickets in the peak season. Therefore, the price of one off season ticket would be p/2. To calculate the money made during the off season, we multiply the number of visitors by the price of one off season ticket:
Money made during the off season = 1,200,000 * (p/2) = 600,000 * p
3. Inequality for breaking even:
To break even, the zoo needs to make at least as much money as they spent on the animals. Let's represent the amount spent on animals as A. The money made during peak season plus the money made during the off season should be greater than or equal to the amount spent on animals:
1,800,000 * p + 600,000 * (p/2) ≥ A
Simplifying the inequality:
3,600,000p + 300,000p ≥ 2A
3,900,000p ≥ 2A
Solving for p:
p ≥ (2A) / 3,900,000
This determines the minimum price of one peak season ticket to break even.
The price of one off season ticket would be half the price of one peak season ticket, so the off season ticket should be (p/2).
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Amir drove from Jerusalem to the lowest place on Earth, the Dead Sea.
His altitude relative to sea level (in meters) as a function of time (in minutes) is graphed.
What was Amir's altitude at the beginning of the drive?
The equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is: y=-12x+360.
What is Straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point.
First of all let's write the slope-intercept form of the equation of a line, which is:
y=mx+b
where m is the slope and b is y intercept.
So we just need to find m and b to solve this problem.
Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:
m=-12
Negative slope because Amir is descending. So:
y=-12x+b
To find b, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point (30,0
). Therefore, substituting this point into our equation:
y=-12x+b
0=12(30)+b
0=-360+b
b=360
Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:
y=-12x+360.
Therefore the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is: y=-12x+360.
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Find a linear inequality with the following solution set. Each grid line represents one unit.
[asy]
size(200);
fill((2,-5)--(-5,-5)--(-5,5)--(5,5)--(5,-2)--cycle,yellow);
real ticklen=3;
real tickspace=2;
real ticklength=0.1cm;
real axisarrowsize=0.14cm;
pen axispen=black+1.3bp;
real vectorarrowsize=0.2cm;
real tickdown=-0.5;
real tickdownlength=-0.15inch;
real tickdownbase=0.3;
real wholetickdown=tickdown;
void rr_cartesian_axes(real xleft, real xright, real ybottom, real ytop, real xstep=1, real ystep=1, bool useticks=false, bool complexplane=false, bool usegrid=true) {
import graph;
real i;
if(complexplane) {
label("$\textnormal{Re}$",(xright,0),SE);
label("$\textnormal{Im}$",(0,ytop),NW);
} else {
label("$x$",(xright+0.4,-0.5));
label("$y$",(-0.5,ytop+0.2));
}
ylimits(ybottom,ytop);
xlimits( xleft, xright);
real[] TicksArrx,TicksArry;
for(i=xleft+xstep; i 0.1) {
TicksArrx.push(i);
}
}
for(i=ybottom+ystep; i 0.1) {
TicksArry.push(i);
}
}
if(usegrid) {
xaxis(BottomTop(extend=false), Ticks("%", TicksArrx ,pTick=gray(0.1),extend=true),p=invisible);//,above=true);
yaxis(LeftRight(extend=false),Ticks("%", TicksArry ,pTick=gray(0.1),extend=true), p=invisible);//,Arrows);
}
if(useticks) {
xequals(0, ymin=ybottom, ymax=ytop, p=black, Ticks("%",TicksArry , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize));
yequals(0, xmin=xleft, xmax=xright, p=black, Ticks("%",TicksArrx , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize));
} else {
xequals(0, ymin=ybottom, ymax=ytop, p=axispen, above=true, Arrows(size=axisarrowsize));
yequals(0, xmin=xleft, xmax=xright, p=axispen, above=true, Arrows(size=axisarrowsize));
}
};
draw((5,-2)--(2,-5),dashed+red, Arrows(size=axisarrowsize));
rr_cartesian_axes(-5,5,-5,5);
for( int i = -4; i <= 4; ++i) {
draw((i,-5)--(i,5));
draw((-5,i)--(5,i));
}
[/asy]
(Give your answer in "standard form" $ax+by+c>0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor greater that 1)
I’ve looked at other people’s answers but my website keeps saying im wrong. If anyone knows how to register this answer to aops, please tell me how
The linear inequality with the solution set (2,-5), (-5,-5), (-5,5), (5,5), (5,-2) are x ≤ 5 and y ≤ 5
Finding a linear inequality with the solution setThe solution set is given as
(2,-5), (-5,-5), (-5,5), (5,5), (5,-2)
We can see that the highest y value in the above ordered pairs is 5
So, we have
y ≤ 5
Also, we can see that the highest x value in the above ordered pairs is 5
So, we have
x ≤ 5
Hence, the linear inequality with the solution set is x ≤ 5 or y ≤ 5
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What is the total measurements of this roof in square feet?
The total measurements of the roof in square feet as required to be determined in the task content is; 2649 ft².
What is the total area of the roof in square feet?It follows from the task content that the total area of the roof as given in the task content is to be determined.
On this note, the area of the roof is the total area of the 71ft by 39 ft rectangle minus the area of the shaded region with dimensions 15 ft by 8 ft.
Therefore;
Area = (71 × 39) - (15 × 8)
= 2649 ft².
Ultimately, the total area measure of the roof in square feet is; 2649 square feet.
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Want Brainliest? Get this correct , Which rule should be applied to reflect f(x) = x^3 over the y-axis?
Answer:
B
Step-by-step explanation:
When you flip over the y-axis you the x is multiplied by -1
3x = 6+y
- 3х + y = -6
Answer:
x=2
y=0
hope its helpfull to uh...
Answer:
x=2 y=0
Step-by-step explanation:
Gavin bought two iPhone Chargers. His reward card at the store Staples saved him $4. He only had to pay $16. How much money did each iPhone Charger cost?
Answer:
each item would be $10. hope this helps.
Step-by-step explanation:
2.8x = -9.24
A. 12.04
B. -0.3030
C. -3.3
D. 12.04
Please helppp
Answer:
Choice c, 3.3
Step-by-step explanation:
To find out the vaule of X, we have to divided -9.24 by 2.8. We have to divided because when X and next to a number, it means to multiply, and the opposite of multiplication is division. To double check to determine whether or not the answer is correct, simply multiply -3.3 by 2.8 and you will get -9.24.
Let A = lcm [1, 2, 3, ..., 99] and B = lcm [1, 2, 3,..., 99, 100]. Compute B/A.
The LCM of {1, 2, 3, ..., 99} and {1, 2, 3, ..., 100} are the same, since 100 = 2² 5² doesn't contain any unique powers of primes - 2² = 4 and 5² = 25 are already accounted for. So
\(\dfrac BA = \boxed{1}\)
Solve the equation 6x2 – 8x + 1 = x + 4 by writing a linear-quadratic system and solving using the intersection feature of a graphing calculator. Order your answers from least to greatest, and round to the nearest hundredth.
Answer:
-0.28, 1.78
Step-by-step explanation:
Plug it into a graphing calculator and see you have -0.281 as a intersection as well as 1.781. Then you round to the nearest hundred and get -0.28 and 1.78.
Each of 7 students reported the number of movies they saw in the past year. This is what they reported.
13, 8, 6, 6, 18, 11, 4
Find the median and mean number of movies that the students saw.
If necessary, round your answers to the nearest tenth.
(a) Median:
(b) Mean:
Answer:
A is 6
B is 9.4
Step-by-step explanation:
First you put the numbers in order. then you take the middle number of the data set. This is how you find the median. For the mean you add all of the number in the data set then divide by how many numbers are there
Can someone please help me with 6-10! I will give 100 points!!
Explanation:
6. A Linear function can be written in the form of f(x) = mx + b
7. In the form of f(x) = mx + b, the y intercept is b
8. The graph x = c is a vertical line with x intercept (c,0)
9. The graph y = c is a horizontal line with y intercept (0, c)
10. To find x intercept, let the y = 0, and solve for x
Answer:
See below ~
Step-by-step explanation:
Solutions :
===============================================================
6. A(n) linear function can be written in the form f(x) = mx + b.
===============================================================
7. In the form f(x) = mx + b, the y-intercept is b.
===============================================================
8. The graph of x = c is a vertical line with x-intercept (c, 0).
===============================================================
9. The graph of y = c is a horizontal line with y-intercept (0, c).
===============================================================
10. To find an x-intercept, let y = 0 and solve for x.
factorise x³-4x²+x+6
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
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Gretta is saving for retirement. She deposits $125 each month at 6% annual interest for 35 years. According to her calculations, at the end of 35 years, she should have $178,088.79 in her account. How much of this did Gretta contribute and how much of this is interest?
Answer:
Gretta's Contribution = $52,500
Interest = $125,588.79
Step-by-step explanation:
Gretta contributes $125 each month, for 35 years. Therefore, to find the amount she contributed, we multiply those pieces together (12 months in each year).
125 x 12 x 35 = $52,500
Therefore, over the 35 years, Gretta contributed $52,500.
If there was $178,088.79 in her account, and she contributed $52,500, then the rest is interest.
$178,088.79 − $52,500 = $125,588.79
There was $125,588.79 in interest earned on Gretta's account.
does anyone have the keys for edmentum guided notes!!! please help
It is important to note that sharing or requesting specific keys or answers to educational materials, including guided notes, would be considered unethical and potentially a violation of academic integrity.
Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.
They are in the best position to provide you with the necessary guidance and support.
Instead of seeking shortcuts or unauthorized access to answers, it is more beneficial to invest time and effort in studying, asking questions, and actively participating in your educational journey.
This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.
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Using the .05 criterion of significance, the critical value needed to reject the null hypothesis is 2.03. If the standard error of the difference is 2.0, what should the researcher decide and what error might be made?
A) Retain the null hypothesis—Type I error.
B) Retain the null hypothesis—Type II error.
C) Reject the null hypothesis—Type I error.
D) Reject the null hypothesis—Type II error.
The researcher should always consider the probability of committing a Type I error when designing an experiment.
The level of significance is a measure of the probability of committing a Type I error.
So, option C (Reject the null hypothesis—Type I error) is the correct answer.
The researcher should Reject the null hypothesis - Type I error.
The researcher should Reject the null hypothesis if the computed value of a test statistic exceeds the critical value, i.e. the critical value needed to reject the null hypothesis.
The computed value of the test statistic is -2.53. It falls in the rejection region, i.e., beyond the critical value.
Thus, the researcher can reject the null hypothesis.
So, option C (Reject the null hypothesis—Type I error) is the correct answer.
Note: The Type I error is a type of error that occurs when a researcher falsely rejects the null hypothesis.
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We examine a population with normal distribution having mean of 1000 and standard deviation 50. What percentage of the population lies between 850 and 1150?
Answer:
99.7%
Step-by-step explanation:
HELP WITH GEOMETRY HOMEWORK ASAP!!!
Answer:
26°
Step-by-step explanation:
90°+64°+x°=180° (Sum of all the angles in a right angled triangle=180°)
154°+x°=180°
x°=180-154°
x°=26°
At a baseball game, a vender sold a combined total of 246 sodas and hot dogs. The number of hot dogs sold was 34 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
Answer:
The vendor sold 212 sodas and 34 hot dogs.
Step-by-step explanation:
Subtract 34 from 246 for the number of sodas sold.
The relative frequency table describes the relationship between students who completed an exam review and their performance on the exam.
Passed exam Did not pass exam Row Totals
Completed exam review 55% 10% 65%
Did not complete exam review 20% 15% 35%
Column Totals 75% 25% 100%
Part A: What is the percentage of students who completed the exam review, given that they passed the exam? Round to the nearest percentage. (2 points)
Part B: What is the percentage of students who completed the exam review, given that they failed the exam? Round to the nearest percentage. (2 points)
Part C: Is there an association between completing the exam review and passing the exam? Justify your answer. (2 points)
From the data given, the percentage of students that completed the exam review given the passed is 55%, the percentage that completed the review given that they failed is 20% and there's is an association between completing the review and passing the exam.
What is the percentage of students that passed the examUsing the relative frequency table given, we can approach the questions as;
Part A: The percentage of students who completed the exam review, given that they passed the exam, is 55%.
Part B: The percentage of students who completed the exam review, given that they failed the exam, is 20%.
Part C: Yes, there is an association between completing the exam review and passing the exam. This can be seen by the higher proportion of students who passed the exam having completed the exam review (55%) compared to those who did not complete the exam review (20%). This suggests that completing the exam review may be a factor that contributes to passing the exam.
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A coin having probability p=2/3 of coming up heads is flipped 6 times. Compute the entropy of the outcome of this experiment.
The entropy of the outcome of this experiment = 9
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Given that,
A coin having probability p=2/3
Heads is flipped 6 times
If the coin is flipped 6 times
The Total Number of Trial in the Experiment =2/3
It comes up heads 6 times
This Means: Number of Successful Outcome of HEADS =6
In an experimental probability,
Experimental probability of the coin’s coming up heads
=Number of Successful Outcome of HEADS/Total Number of Trials in the Experiment
= 6/(2/3)
= 6*3/2
= 18/2
= 9
Therefore,
The entropy of the outcome of this experiment = 9
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Two methods were used to teach a high school algebra course. A sample of 75 scores was selected for method 1, and a sample of 60 scores was selected for method 2. The results are:
Method 1 Method 2
Sample mean 85 83
Sample s.d. 3 2
Required:
Test whether method 1 was more successful than method 2 at the 1% level.
Answer:
Since the calculated value of t =4.629 falls in the critical region t> 2.355 we reject the null hypothesis and conclude that method 1 was more successful than method 2 at the 1% level.
Step-by-step explanation:
Applying two sample t test as both methods are independent
The null and alternate hypotheses are
H0: u1= u2 against the claim Ha: u1> u2
The significance level is 0.01 and the critical region is t > t∝( n-1)
The degrees of freedom is calculated using the formula
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
This formula is used when the the variances are unequal.
So as we do not know anything about variances we assume they are unequal.
The calculated degrees of freedom is 132
The critical region is t > 2.355 for one tailed test.
The test statistic is
t= x1`- x2`/ √s1²/n1 + s2²/n2
t= 85-83/ √3²/75+ 2²/60
t= 2/ 0.432
t= 4.629
Since the calculated value of t =4.629 falls in the critical region t> 2.355 we reject the null hypothesis and conclude that method 1 was more successful than method 2 at the 1% level.
Which statement proves that the two circles are similar?
The circles A and C are similar because A can be mapped onto C by a translation of 3 units to the right and 5 units up, followed by a dilation about its center by a scale factor of 2.5.
The circles A and C are similar because A can be mapped onto C by a translation of 3 units to the left and 5 units down, followed by a dilation about its center by a scale factor of 0.4.
The circles A and C are similar because A can be mapped onto C by a translation of 3 units to the right and 5 units up, followed by a dilation about its center by a scale factor of 0.4.
The circles A and C are similar because A can be mapped onto C by a translation of 3 units to the left and 5 units down, followed by a dilation about its center by a scale factor of 2.5.
The circle's A and C are similar because A can be mapped onto C by a translation of 3 units to the left and 5 units down, followed by a dilation about its center by a scale factor of 2.5. Option D is correct.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
Here,
To prove that the two circles are similar, circle A can be mapped onto C by a translation of 3 units to the right and 5 units up, followed by a dilation about its center by a scale factor of 2.5.
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If a person travels 440 meters in 11 seconds, what is the average speed of the person?
Step-by-step explanation:
speed=distance÷time
A.V.S=440÷11=40m/s
hope it helps.. Please mark brainliest.
Answer:
40 m/s
Step-by-step explanation:
Find:
We are asked to find the unit rate, How many meters per 1 second?
Know:
440 meters in 11 seconds
Solve:
440 meters in 11 seconds
? meters in 1 second
440/11 = 40 meters per second
Answer:
The average speed of the person is 40 m/s
If a student scores 75.6 points out of a possible 90.0 points, what percent did they get correct? Show all of your work. Use the percent proportion model to set up the equation before you calculate the answer. Please explain your answer.
Answer:
84%
Step-by-step explanation:
Multiply 75.6 by 100% and divide by 90.
75.6 x 100% = 75600
7560%/90 = 84%
She got 84% percent correct.
HELP PLEASE FAST EXTRA POINTS
Show that (16^1/4)^3 and (16^3)^1/4 are equivalent
Step-by-step explanation:
\(LHS : \)
\( { ({16}^{ \frac{1}{4} } )}^{3} \)
\( = { (\sqrt[4]{16}) }^{3} \)
\( = {2}^{3} \)
\( = 8\)
\(RHS : \)
\( { ({16}^{3} )}^{ \frac{1}{4} } \)
\( = {4096}^{ \frac{1}{4} } \)
\( = \sqrt[4]{4096} \)
\( = 8\)
LHS = RHS
HENCE VERIFIED
100 points!!!!!!! The distance traveled (in feet) is proportional to the number of seconds. Find the values of x,y, and z.
I took a pic of the chart dat you use.
From the concept of direct proportion, y = 65, x = 39 and x = 15, y = 25.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
Let, y = kx.
From the table,
5 = 3k.
k = 5/3.
Now, When x = x and y = 65.
65 = (5/3)x.
x = 39.
Again, When x = 15, y = y.
y = (5/3)15.
y = 25.
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Clayton opens a savings account with 11 dollars he got from his grandmother
Answer:
The answer is "$3640.58"
Step-by-step explanation:
This question is incomplete, that's why we add another question in the attached file. Please find it.
P = \(\$ \ 1300\) and effective per year is = interest rate per year = 7.2
Total \(\$ \ 1300\) due after 8 years is P+PRT:
\(\to 1300(1+0.072 \times 8)\\\\\to 1300(1+ 0.576)\\\\\to 1300(1.576)\\\\\to \$ \ 2048.8\)
\(\to Total \ X = \$ \ (7000-2048.8) \\\\\)
\(= \$ \ 4951.2 \\\\= X(1 +0.072 \times 5)\\\\=1.36 X \\\\\)
The number of dollars is X \(= \frac{4951.2}{1.36} = \$ \ 3640.58\)