Answer: \(p + 254 \leq 471\)
Step-by-step explanation:
The number of people in the theater plus 254 )the number of people already in the theater) must be less than or equal to the maximum amount allowed to be seated, 471.
So, \(p + 254\) represents the number of people in the theater.
471 is the maximum amount of people.
So, p + 254 must be less than or equal to \(p + 254\).
Therefore, we can say that:
\(p + 254 \leq 471\)
I need help with this !!
Answer:
-27
Step-by-step explanation:
It looks like you're trying to evaluate ...
\(\displaystyle 5^{\log_5{8}}-3^{\log_3{5}+\log_3{7}}=8-3^{\log_3{35}}=8-35=\boxed{-27}\)
__
The relevant rules are ...
b^(log_b(x) = x
log(a)+log(b) = log(ab)
Mrs. Ruiz bought 5 bags of balloons for a party. Each bag contained 70 balloons. Andy said Mrs. Ruiz bought a total of 75 balloons. Andy is incorrect. What error did Andy make when calculating the total number of balloons? And What is the total number of balloons Mrs. Ruiz bought?
Answer:
Andy made the error of adding the values of the bags and the ballons, when instead they should be multiplied. The total number of baloons Mrs. Ruiz bought is 350 because 70*5 is 350. You multiple because there are five bags and in each of the five bags, there are 70 balloons.
An airplane travels at a constant speed of 320 miles per hour. How far, in miles, will the airplane travel in 15 minutes?
Answer:
80 miles
Step-by-step explanation:
15 minutes × (1 hour)/(60 minutes) = 0.25 hour
speed = distance/time
distance = speed × time
distance = 320 miles/hour × 0.25 hour
distance = 80 miles
Find an equation of the tangent line at the given value of x. y= 0∫x sin(2t2+π2),x=0 y= ___
The equation of the tangent line at x=0 is y = x.
To find the equation of the tangent line at the given value of x, we need to find the derivative of the function y with respect to x and evaluate it at x=0.
Taking the derivative of y=∫[0 to x] sin(2t^2+π/2) dt using the Fundamental Theorem of Calculus, we get:
dy/dx = sin(2x^2+π/2)
Now we can evaluate this derivative at x=0:
dy/dx |x=0 = sin(2(0)^2+π/2)
= sin(π/2)
= 1
So, the slope of the tangent line at x=0 is 1.
To find the equation of the tangent line, we also need a point on the line. In this case, the point is (0, y(x=0)).
Substituting x=0 into the original function y=∫[0 to x] sin(2t^2+π/2) dt, we get:
y(x=0) = ∫[0 to 0] sin(2t^2+π/2) dt
= 0
Therefore, the point on the tangent line is (0, 0).
Using the point-slope form of a linear equation, we can write the equation of the tangent line:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is a point on the line.
Plugging in the values, we have:
y - 0 = 1(x - 0)
Simplifying, we get:
y = x
So, the equation of the tangent line at x=0 is y = x.
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What are the lengths of the major and minor axes of the ellipse?
(x−3)227+(y+4)245=1
The lengths of the major and minor axis are 4√6 and 4√3.
What is Major and Minor Axis?A point on a curve is described by an ellipse if its location is such that the sum of the distances between its two focal points is a constant.
(x−h)²/ b² +(y- k)² /a² = 1
Given:
(x−3)²/ 27+(y+4)² /45=1
The above equation can be compared to the standard equation of an ellipse
(x−h)²/ b² +(y- k)² /a² = 1
where, (h, k) = coordinates of the center of the ellipse
a = length of the semi major axis
b = length of the semi minor axis
By comparison, we have;
(h, k) = (3, -4)
a = √(24) = 2 x√6
b = √(12) = 2 x√3
and, length of the major axis = 2a
length of the minor axis = 2b
Thus, The length of the major axis is
2x a = 2 × 2 x √6 = 4√6
and, length of the minor axis is
2•b = 2 × 2√3 = 4√3
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Answer: 6sqrt(5) and 6sqrt(3)
Step-by-step explanation:
I took the test and these were the correct answers.
6 1 point True or False. There is a rigid transformation taking Rhombus P to Rhombus Q. Q Р
The statement "There is a rigid transformation taking Rhombus P to Rhombus Q" is false.
To determine whether there is a rigid transformation that takes Rhombus P to Rhombus Q, we can compare the side lengths and angles of the two rhombuses. If they are the same, then a rigid transformation can exist.
Looking at Rhombus P, we can see that all sides have length 4, and opposite angles are congruent. Therefore, Rhombus P is a square.
For Rhombus Q, we can use the Pythagorean theorem to find that the length of each side is sqrt(20), or approximately 4.472. Opposite angles are also congruent, so Rhombus Q is not a square.
Since the two rhombuses have different side lengths, there is no rigid transformation that can take Rhombus P to Rhombus Q. Therefore, the statement "There is a rigid transformation taking Rhombus P to Rhombus Q" is false.
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can someone tell me what is the slope of the line that includes points (4,-10) and (6,8)
Answer: hmmm no!
Step-by-step explanation:
An airplane flies with a constant speed of 920 km/h. How far can it travel and 4 hours 12 minutes?
Answer:
3,864 Km
Step-by-step explanation:
920/60=15.333333
15.33333*252=3,864
25. The manager of a coffee shop has Costa Rican coffee that sells for $7 per pound and Kenyan coffee that sells for $10
per pound. The manager wishes to mix 80 pounds of the Kenyan coffee with the Costa Rican coffee to get a mixture that
will sell for SS per pound. How many pounds of the Costa Rican coffee should be used?
The Costa Rican coffee should be used is 160 pound.
What is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Given that the cost of Costa Rican coffee that sells for $7 per pound and Kenyan coffee that sells for $10.
The cost of the mixture is $8.5 per pound.
Assume that the manager mixed 80 pounds of the Kenyan coffee with the x pound of the Costa Rican coffee to get a mixture.
The cost of 80 pound Kenyan coffee is $(80×10) = $800.
The cost of x pound Costa Rican coffee is 7x.
The cost of mixture coffee is (80 + x)8.5
According to the question:
800 + 7x = (80 + x)8
800 + 7x = 640 + 8.x
640 + 8x = 800 + 7x
x = 800 - 640
x = 160
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Write an expression that is equivalent to 5^-3
Answer:
1/125
Step-by-step explanation:
=1/5*5*5
=1/5^3
=1/125
Using exponent rules, when a number is raised to a negative exponent, change the exponent to positive and make a fraction with 1 as the numerator and the number as the denominator:
5^-3 = 1/(5^3)
Solve for x.
(13x-32)
S
T
V
(7x + 22)°
U
Answer:
x=9
Step-by-step explanation:
13x-32 and 7x+22 are equal to each other (angles) so
13x-32=7x+22
13x-7x=22+32
6x=54
x=54/6
x=9
Even though he was the facilities director with the county, Keith loosened his tie and waded into the raw, untreated sewage with the rest of the project team. As they stood there together in the quagmire of mud and feces, the team members found Keith less intimidating and his:
Keith, the facilities director, joined the project team in wading through raw sewage, causing the team members to perceive him as less intimidating.
By loosening his tie and immersing himself in the unpleasant and challenging task alongside the project team, Keith demonstrated his willingness to get his hands dirty and work at the same level as his colleagues. This act of solidarity broke down the perceived hierarchy between Keith and the rest of the team members. The uncomfortable and unglamorous environment of the sewage created a level playing field, where Keith's position as a director became less apparent and his humanity and willingness to collaborate became more prominent.
As a result, the team members likely felt a sense of camaraderie and unity with Keith. They could see that he was not just a figure of authority but also a team player willing to go the extra mile to contribute to the project's success. This experience might have fostered a stronger bond within the team, increased their respect for Keith, and improved overall communication and collaboration, as they now perceived him as more approachable and relatable. Keith's actions in the face of adversity created a positive shift in the team dynamics and contributed to a more inclusive and effective working environment.
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multiply the number of mittens lost by 3 kittens by the voting age in the u.s. what is the answer?
We can explain the process of multiplying the number of mittens lost by 3 kittens and then multiplying the result by the voting age in the U.S.
To calculate the answer, we first need to know the number of mittens lost. Let's assume it is represented by "M." Next, we multiply M by 3 kittens, which results in 3M. Finally, we need the voting age in the U.S., denoted by "V." By multiplying 3M by V, we obtain the answer, which is 3M * V.
Without specific values for M (number of mittens lost), the number of kittens, and V (voting age in the U.S.), we cannot provide a numerical answer. However, the multiplication process is outlined above. To find the actual answer, you would need to substitute the appropriate values into the equation 3M * V.
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what is the gcf of 30/72
Answer:
There are 4 common factors of 30 and 72, that are 1, 2, 3, and 6. Therefore, the greatest common factor of 30 and 72 is 6.
Step-by-step explanation:
84/18=14/3
60/32=15/8
Which of the following statements must be true about the polynomial function f(x)
For a polynomial function statements that need to be true are different end behavior for different degree and different sign of leading coefficient.
What is polynomial function?A function that can be expressed as a polynomial is referred to as a polynomial function.
A polynomial equation's definition can be used to derive the definition.
A polynomial is typically denoted by P (x).
The degree of the variable in P(x) is its maximum power.
The degree of a polynomial function is crucial because it reveals how the function P(x) will behave when x is very large.
Whole real numbers make up a polynomial function's domain (R).
For a polynomial function following statements to be true:
Function that has different degrees have different end behaviors because due to different degrees the graph will be different, and their x-intercept will be different.Function that has leading coefficient of different sign have different end behavior because if we take even degree polynomial leading coefficient.To know more about polynomial follow link:
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2 less than the quotient of number 5 and a number x
Complete the equations with powers of 10.
720,800 =
7.208
Answer:
720,800/(10^5)
Step-by-step explanation:
divide by 10 = move one place to the left
720,800=7.208
that is 5 places so divide by 10^5
Hope this helps :D
I don’t know this question
Help me
Answer: Probably negative 69
I don’t understand this question! Please help me find the answer they are compound shapes
The area of the shaded region in this problem is given as follows:
995.44 cm².
How to calculate the area of a circle?The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:
A = πr²
The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is given as follows:
r = 21 cm.
Then the area of the entire circle is given as follows:
A = π x 21²
A = 1385.44 cm².
The right triangle has two sides of length 39 cm and 20 cm, hence it's area is given as follows:
A = 0.5 x 39 x 10
A = 390 cm².
Then the area of the shaded region is given as follows:
1385.44 - 390 = 995.44 cm².
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What is the initial value of the function represented by this graph? :)
Answer:
5
Step-by-step explanation:
It's the first number on the graph that you can go into.
Answer:
1
Step-by-step explanation:
It is the y intercept or the point where the line crosses the y axis.
A straight ramp has a rise of 8 feet over a horizontal distance of 25 feet. Which of the following is equal to the measure in radians of the angle that the ramp makes with the level ground?
A sin⁻¹ (0.32)
B cos⁻¹ (0.32)
C. tan⁻¹ (0.32)
D sec⁻¹ (0.32)
The correct option is C. tan⁻¹ (0.32), since it symbolises the inverse tangent function, which provides us with the angle's measurement in radians.
To determine the measure in radians of the angle that the ramp makes with the level ground, we can use the trigonometric function tangent.
The tangent of an angle is defined as the ratio of the length of the opposite side (rise) to the length of the adjacent side (horizontal distance).
In this case, the rise of the ramp is 8 feet, and the horizontal distance is 25 feet.
Using the tangent function:
tan(angle) = opposite/adjacent
tan(angle) = 8/25
To find the measure of the angle, we need to take the inverse tangent (tan⁻¹) of both sides:
angle = tan⁻¹(8/25)
Now we can evaluate this using a calculator to find the decimal value of the angle.
Given the options provided:
A sin⁻¹ (0.32)
B cos⁻¹ (0.32)
C tan⁻¹ (0.32)
D sec⁻¹ (0.32)
The correct option is C. tan⁻¹ (0.32), as it represents the inverse tangent function that gives us the measure of the angle in radians.
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a seven sided number cube with sides numbered 1,2,3,4,5,6,7 is rolled. what is the probability that a 4 or odd number is rolled ? which fraction ? 5/7 2/7 3/7 4/49
The probablity of rolling a 4 = 1/7
There are 4 odd numbers, so the probablity of rolling an odd number = 4/7
4/7 + 1/7 = 5/7
The radius of a circle is 3 centimeters. What is the length of a 90° arc?
90°
r=3 cm
Give the exact answer in simplest form.
_____ centimeters
Identify the system of linear equations from the tables of values given below.
X
y
X
у
0
2
0
1
-4
0
-2
0
6
5
4
-1
-6
-1
2
2
A y = -15 - 2
y = -x + 1
OB. y = -1 -2
y = -1 +1
OC y = 5 + 2
y = kx + 1
OD.y = 1 + 2
y = 1 + 1
Answer:
71
Step-by-step explanation:
Which of the following points on the number line would be the plotted point for √5
Answer:
Point C
Step-by-step explanation:
The correct answer would be about 2.2 so C is the closest.
PLEASE HELP
What are the values of m and in the diagram below?
Step-by-step explanation:
Using Pythagorean theorem
1^2 = 1/2 ^2 + m^2
3/4 = m^2
m = sqrt (3) / 2
Using trig relations Tan Φ = opposite / adjacent = sqrt(3)/2 / 1/2 = sqrt 3
tan Φ = sqrt3
Φ = (arctan ( sqrt 3) ) = pi/3 or 60 degrees (use a calculator)
Please Help 50 POINTS!!
Answer:
D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)
Step-by-step explanation:
hope this helps
Answer: D has the largest perimeter
Step-by-step explanation:
The top numbers of fractions describe the vertex and the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.
A.
P = 2(11) + 2(3)
P = 22+6
P=28
B.
P = 2(4) + 2(9)
p = 8 +18
P = 26
C.
P = 2(5) + 2(9)
P = 10 +18
P = 28
D.
P = 2(8) + 2(7)
P = 16 +14
P = 30
find the value of c2(δt′)2−(δx′)2 . express your answer in terms of any of the following γ , δx , δt , and c .
The value of c²(δt′)² - (δx′)² can be expressed in terms of γ, δx, δt, and c. It represents a mathematical expression involving the speed of light, time dilation (δt'), and length contraction (δx') in the context of special relativity.
In the context of special relativity, the equation c²(δt′)² - (δx′)² represents the spacetime interval between two events, where c is the speed of light. The variables δt' and δx' represent the differences in time and space measurements as observed from different reference frames. The term c²(δt′)² represents the time component of the interval, accounting for time dilation due to relative motion. The term (δx′)² represents the space component of the interval, accounting for length contraction due to relative motion.
To express the expression in terms of γ, δx, δt, and c, we can use the Lorentz factor γ, which is defined as γ = 1 / √(1 - (v²/c²)), where v is the relative velocity between the frames. By rearranging the equation, we can substitute γ, δt, and δx into the expression to obtain the desired form. The Lorentz factor γ relates to the dilation and contraction effects observed in special relativity and allows us to express the spacetime interval in terms of the given variables.
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Please help me! I’ll mark you as the brainiest but please don’t answer if you don’t know it
Answer:
x > 7
Step-by-step explanation:
If you look at the changes in degrees, you will see it get bigger on the bottom! That means the 7 will become smaller! Your Welcome!
Answer:
the answer is B bro
Step-by-step explanation:
what percentage of milgram's participants regretted having participated in the study?
1% percentage of Milgram's participants regretted having participated in the study.
Milgram's Study and effect on Research EthicsAlong with being the most powerful study in understanding obedience, Milgram’s research is also one that is often second hand when discussing the ethical treatment of human subjects.
Even though no participants accepted any real shocks, Milgram accept considerable criticism in regard to his treatment of subjects, specifically, Diana Baumrind (1964), claimed Milgram generate unacceptable levels of stress in his participants.
Baumrind (1964) also stated that the lab is an unknown setting, therefore the regulation of conduct is ambiguous for the subject, who would be more prone to obedient behavior set side by set to other environmental conditions. Also, after disclose the deception, subjects may feel used, embarrassed, or distrustful of psychologists and future control figures in their lives (Baumrind, 1964).
Milgram (1964) responded to these criticisms by look over his participants after debriefing them and establish that 83.7% were glad to have participated and only 1.3% regretted it.
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