Answer:
-2 ≤ x < 12
Step-by-step explanation:
-15x +4 ≤ 34
Add 15x-34 to both sides
-30 ≤ 15x
Divide by 15
-2 ≤ x
__
-6x +70 > -2
Add 6x +2 to both sides
72 > 6x
Divide by 6
12 > x
__
The two solution spaces overlap. Since the AND of the two inequalities is involved, the solution of both is just that part of the number line where there is overlap.
The solution is ...
-2 ≤ x < 12
The volume of this cone is 643,072 cubic inches. What is the radius of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth.
The radius of the cone is 783.84/√h
What is volume of a cone?A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
The volume of a cone is expressed as;
V = 1/3πr²h
643072 × 3 = 3.14 × r²h
r²h = 614400
r² = 614400/h
r = 783.84/√h
therefore the radius of the cone is 783.84/√h
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HELP ASAP ASAP EXTRA POINTS
Answer:
-4/2 since it's a negative slope
Step-by-step explanation:
given triangle PQR with QR = 8, PQ = 6, and m p = 90 degrees, which of the following choices is used to determine m r
The value of the angle R in the right triangle PQR is sin⁻¹ 6 / 8
The situation forms a right angle triangle.
How to find an angle in a right triangle?The angle R can be found as follows:
using trigonometric ratios,
sin R = opposite / hypotenuse
Therefore,
opposite sides = 6
hypotenuse = 8
sin R = 6 / 8
R = sin⁻¹ 6 / 8
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Tell whether the sequence is arithmetic. If it is, identify the common difference.
1/2,1/3,1/4, ….
1) Not arithmetic
2) Arithmetic, common difference is 1/6
3) Arithmetic, common difference is 2/3
4) Arithmetic, common difference is 1
Answer:
Not arithmetic
Step-by-step explanation:
the difference of successive terms in arithmetic sequences should be the same. notice that:
1/3-1/2 =/= 1/3 - 1/4
so it's not arithmetic.
this sequence is known as the harmonic sequence, and its sum diverges.
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Answer:
Not any question Lol ?
step by steo explanation
oh ik let me ask by speaking your language
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QUESTION 1 Classify the following numbers as Natural, Whole number, non- real, rational, irrational. -27;√21; 2.33;11;√-9
The numbers are: 2.33 = whole number, -27 = rational number, √21 = irrational number, 11 = natural number and √-9 = non-real number.
What are numbers?A number is an arithmetic value used to represent quantity. Hence, a number is a mathematical concept used to count, measure, and label. Thus, numbers form the basis of mathematics.
Given that are numbers, we have to classify the number as natural, whole, integer, rational, or irrational.
Natural number: All positive number starts from 1 without fraction i.e 1,2,3... are natural numbers.
Whole number: Numbers stats from 0 without fraction i.e 0,1,2,... are whole number.
Integer: A number that can be written without a fractional component.
Rational: A number which can be written in the form of p/q where q is not equals to 0.
Irrational: A number which can not be written in the form of p/q where q is not equals to 0.
Therefore, 2.33 = whole number, -27 = rational number, √21 = irrational number, 11 = natural number and √-9 = non-real number.
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pls help answer ASAP
Answer:
a: 1
b: -1
c: -3
Step-by-step explanation:
You can rearrange the terms and make the equation become:
x - y - 3
There, you can see that the values are the following:
a: 1
b: -1
c: -3
can anyone help me with this question, i dont really understand how to do pls help me
there you goo :)) on the chain up on the left from 3 to 48 they keep multiplying by 2, and the other one, they keep subtracting by 7
for [infinity] 13 n10 n = 1 , since f(x) = 13 x10 is continuous, positive, and decreasing on [1, [infinity]), we consider the following. (if the quantity diverges, enter diverges.)
Given a series [infinity] 13n10n=1. Since f(x) = 13x10 is continuous, positive and decreasing on [1, [infinity]), we have to determine whether the series converges or diverges.
We know that for a decreasing series an, the integral test states that if the integral ∫f(x)dx from 1 to [infinity] converges, then the series also converges. Let's consider the integral ∫f(x)dx from 1 to [infinity]. ∫f(x)dx = ∫13x10dx from 1 to [infinity] ,
= [13/110] [x11] from 1 to [infinity] = [13/110] lim x-> [infinity] x11 - [13/110] (1) = [13/110] [infinity] - [13/110]
Therefore, ∫f(x)dx diverges since the limit does not exist and the integral has an infinite value.
Hence, by the integral test, we can conclude that the series [infinity] 13n10n=1 diverges. Hence, the answer is, The given series [infinity] 13n10n=1 diverges.
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If a family drives 3 1/6 hours on Friday and 2 2/6 hours on Saturday how many hours will they drive on Sunday to total 8 5/6 hours ?
The family has already driven for 5 3/6 hours on Friday and Saturday. To reach a total of 8 5/6 hours, they need to drive for an additional 3 1/3 hours on Sunday.
How long the family should drive?
A family has driven for 3 1/6 hours on Friday and 2 2/6 hours on Saturday. They need to know how long they should drive on Sunday to total 8 5/6 hours.
To figure this out, we add the driving time from Friday and Saturday (5 3/6 hours).
Then, we subtract this from the total time they want to drive (8 5/6 hours). The answer is 3 2/6 hours, which simplifies to 3 1/3 hours.
Therefore, the family needs to drive for 3 1/3 hours on Sunday to reach a total of 8 5/6 hours.
If a family has driven for 3 1/6 hours on Friday and 2 2/6 hours on Saturday, they have already driven for a total of:
3 1/6 + 2 2/6 = 5 3/6 hours
To reach a total of 8 5/6 hours, they need to drive for:
8 5/6 - 5 3/6 = 3 2/6 hours
Simplifying the fraction, 3 2/6 is equivalent to 3 1/3.
Therefore, the family needs to drive for 3 1/3 hours on Sunday to reach a total of 8 5/6 hours.
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15.12 for 12 hamburgers per burger
Answer:
15.12 ÷ 12 = 1.26 per burger
There are black and white counters in a bag in the ratio 20:17
There are 54
more black counters than white counters.
How many black counters are there?
There are 360 black counters and 306 white counter in 20:17 ratio.
Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:
B/W = 20/17
We also know that there are 54 more black counters than white counters, which means that:
B = W + 54
We can use substitution to solve for B. Substituting the second equation into the first equation, we get:
(W + 54)/W = 20/17
Cross-multiplying, we get:
17(W + 54) = 20W
Expanding the left side, we get:
17W + 918 = 20W
Subtracting 17W from both sides, we get:
918 = 3W
Dividing both sides by 3, we get:
W = 306
Now we can use the second equation to find B:
B = W + 54 = 306 + 54 = 360
Therefore, there are 360 black counters in the bag.
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What is the value of x?
Enter your answer in the box.
X =
Answer:
x=54
Step-by-step explanation:
2x + 2 = 3x - 52
subtract 2x from both sides, now u have:
2 = x - 52
add 52 from both sides, now u have
54 = x
Answer:
X=54
Step-by-step explanation:
I got it right on the test :)
A square based prism and a cylinder both have the same height of 4cm and the same base area. If the volume of the square based prism is 452cm cubed based on the concepts of Cavalieri's principle, what is the approximate circumference of the base of the cylinder?
The approximate circumference of the base of the cylinder is 37.7 cm
How to find circumference of a cylinder?The square based prism and a cylinder both have the same height of 4cm and the same base area.
volume = BH
where
B = base areaH = heightTherefore,
volume of squared base prism = 452
452 = 4B
B = 452 / 4
B = 113
Therefore,
base area of the cylinder = 113 = πr²
Hence,
113 / π = r²
r = √113 / π
circumference of the base of the cylinder = 2πr
circumference of the base of the cylinder = 2 × π × √113 / π
circumference of the base of the cylinder = 2 × 3.14 × 5.99891656885
circumference of the base of the cylinder = 37.6731960524
circumference of the base of the cylinder = 37.7 cm
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I get an automatic 100 just for completing the assignment and I’m failing right now and really stressed. Should I just guess and receive all hundreds or actually work it out, it’s due at 12 and I have four more assignments.
Answer:
Just try your best for all of it, but make sure for each question, you at least have an answer, so the assignmet would count as complete.
Step-by-step explanation:
Answer:
submit whatever you have, guess all of it to get it all done. if you have time you can go back and check
Step-by-step explanation:
Use implicit differentiation to find dy dx cos (y) + sin (x) = y dy dx II
The derivative of \(`cos(y) + sin(x) = y dy/dx` is `dy/dx = (-sin(y)) y' + cos(x) / (y' - y * d/dx [y])`.[/tex} for the given equation.
A financial instrument known as a derivative derives its value from an underlying asset or benchmark. Without owning the underlying asset, it enables investors to speculate or hedging against price volatility. Futures, options, swaps, and forwards are examples of common derivatives. Leverage is a feature of derivatives that enables investors to control a larger stake with a smaller initial outlay. They can be traded over-the-counter or on exchanges. Due to their complexity and leverage, derivatives are subject to hazards like counterparty risk and market volatility.
Implicit differentiation is a method used in calculus to differentiate an implicitly defined function with respect to its independent variable. To use implicit differentiation to find \(`dy/dx\)` in the equation"
\(`cos(y) + sin(x) = y dy/dx\)`, follow the steps below:
Step 1: Differentiate both sides of the equation with respect to x.
The derivative of\(`y dy/dx`\) is \(`(dy/dx) * y'`. `d/dx [y dy/dx] = (dy/dx) * y' + y * d/dx [dy/dx]`\).
Step 2: Simplify the left-hand side by applying the chain rule and product rule. \(`d/dx [y dy/dx] = d/dx [y] * dy/dx + y * d/dx [dy/dx] = y' * dy/dx + y * d/dx [dy/dx]`.\)
Step 3: Derive each term of the right-hand side with respect to x. \(`d/dx [cos(y)] + d/dx [sin(x)] = d/dx [y dy/dx]`. `(-sin(y)) y' + cos(x) = y' * dy/dx + y * d/dx [dy/dx]`.\)
Step 4: Isolate `dy/dx` on one side of the equation. \(`y' * dy/dx - y * d/dx [dy/dx] = (-sin(y)) y' + cos(x)`. `(y' - y * d/dx [y]) * dy/dx = (-sin(y)) y' + cos(x)`. `dy/dx = (-sin(y)) y' + cos(x) / (y' - y * d/dx [y])`.\)
Hence, the derivative of \(`cos(y) + sin(x) = y dy/dx` is `dy/dx = (-sin(y)) y' + cos(x) / (y' - y * d/dx [y])`.\)
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Find the Area of the shaded region of the trapezoid below. (
Step-by-step explanation:
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Does the graph of the function ever cross the x-axis?
Yes, the graph of the function do cross the x-axis.
X-intercept . The x-intercept marks the location at which the graph crosses the x-axis, or (a,0). When y is 0, the x-intercept appears. The graph's intersection with the y-axis, or point (0,b), is known as the y-intercept. When x is 0, the y-intercept appears.
The x-intercept and y-intercept are the points at which a line crosses the x- and y-axes, respectively.
The y-axis is typically the vertical axis, while the x-axis is typically the horizontal axis. The figure below illustrates how they are represented by two number lines that perpendicularly intersect at (0, 0), the origin.
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??? Anyone I need help
Answer b
Because -2-5 adds -5 to it equals -7
If you have any questions about answer just ask
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The ratio of c:d is 1:3. The ratio of d:e is 2:3. What is the ratio of c:d:e?
The ratio of c:d:e is 1:3:2.
How The answer was obtainedTo find the ratio, you can multiply the first ratio by the second ratio: 1 * 2 = 2 and 3 * 3 = 9, so the ratio becomes 2:9:6, which can be simplified to 1:3:2.
A ratio is a comparison between two values. To calculate a ratio, divide the first value by the second value. For example, if you have three apples and seven bananas, the ratio of apples to bananas would be 3/7.
You can also simplify a ratio by dividing both values by their greatest common divisor. For example, if the ratio of apples to bananas is 6/14, you could simplify it to 3/7.
It's also possible to express a ratio as a fraction, decimal, or percentage. To convert a ratio to a fraction, simply divide the two values. To convert a ratio to a decimal, divide the numerator by the denominator. To convert a ratio to a percentage, multiply the ratio by 100.
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Solve the missing elements for each problem. Use 3.14
What are the domain restrictions of q^2−7q−8 divided by q^2+3q−4 ?
o q≠1 and q≠−8
o q≠−1 and q≠8
o q≠−1 and q≠4
o q≠1 and q≠−4
The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)
The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:
q² + 3q - 4 = 0
Now, we can factorize the quadratic equation:
(q + 4)(q - 1) = 0
To find the values of q, we set each factor equal to zero and solve for q:
q + 4 = 0 or q - 1 = 0
Solving these equations, we get:
q = -4 or q = 1
So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.
Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.
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Complete Question:
What are the domain restrictions of q²−7q−8/q²+3q−4?
a) q≠1 and q≠−8
b) q≠−1 and q≠4
c) q≠1 and q≠−4
d) q≠−1 and q≠8
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
The answer is 0
Step-by-step explanation:
The rules of signs:
+ * - = -
- * - = +
- * + = -
+ * + = +
So, using the rules of signs, your question is basically asking, what is 5-5, for which the answer is 0.
Given the functions f(x) = 2x^4 and g(x) = 4 x 2^x, which of the following statements is true
The statement that correctly shows the relationship between both expressions is
f(2) > g(2)
how to find the true statementThe given equation is
f(x) = 2x⁴ and
g(x) = 4 x 2ˣ
plugging in 2 for x in both expressions
f(x) = 2x⁴
f(2) = 2 * (2)⁴
f(2) = 2 * 16
f(2) = 32
Also
g(x) = 4 x 2ˣ
g(2) = 4 x 2²
g(2) = 4 * 4
g(2) = 16
hence comparing both we can say that
f(2) = 32 is greater than g(2) = 16
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pls HELP FAST!!!!!!!!!!!!!
Answer:
Honestly love how she's talking to another guy so she dated a guy then cheated on him now shes talking to another guy cheating on him with another guy don't waste your time on her she is a cheater
effective leaders understand leadership is about both relationships and tasks. an effective leader is able to ______.
An effective leader is able to balance and integrate both relationship-building and task-oriented aspects of leadership.
Effective leaders recognize that leadership is not solely about achieving tasks and goals; it also involves building and maintaining strong relationships with their team members.
They understand that establishing positive relationships is crucial for fostering trust, collaboration, and engagement within the team.
By prioritizing relationships, effective leaders create a supportive and inclusive work environment where individuals feel valued, heard, and motivated to contribute their best.
At the same time, effective leaders also understand the importance of accomplishing tasks and achieving organizational goals.
They possess the ability to set clear objectives, delegate responsibilities, and monitor progress to ensure that tasks are completed efficiently and effectively.
They are skilled at organizing resources, making decisions, and providing guidance to their team members, all while maintaining a focus on the desired outcomes.
The key to being an effective leader lies in the ability to balance and integrate both relationship-building and task-oriented aspects of leadership.
This means recognizing that strong relationships contribute to improved teamwork, communication, and employee satisfaction, which in turn enhance overall performance and productivity.
By acknowledging and valuing both dimensions, effective leaders create a harmonious work environment that fosters growth, success, and the well-being of both individuals and the organization as a whole.
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Elizabeth has some stickers. She divide her stickers equally amiung herself and two friends. Each person get 4 stickers. Which equation repersents the total number,s,of stickers?
The correct equation representing the total number, s, of stickers is option C. s/3 = 4.
The formula or relation that can accurately indicate the total number of stickers, number of girls and number of stickers received by girl is as follows -
Total number of stickers/number of girls = number of stickers received by each girl
(We will perform division as number of stickers must be more than number of girls)
Keep the representative value of each
s/3 = 4
Solving it to know the number of stickers
s = 4 × 3
s = 12
Hence, there were 12 stickers divided four each among three girls. Thus, the correct answer is C. s/3 = 4.
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The complete question is -
Elizabeth has some stickers. She divide her stickers equally amiung herself and two friends. Each person get 4 stickers. Which equation repersents the total number,s,of stickers?
A. s + 3 = 4
B. s 3 = 4
C. s/3 = 4
D. 3s = 4
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1300 grams and mass was decreasing by 14% per day. Determine the mass of the radioactive sample at the beginning of the 9th day of the experiment. Round to the nearest tenth (if necessary).
PLEASE HELP. GOD BLESS
The mass of the radioactive sample at the beginning of the 9th day of the experiment is 334.5 grams.
How to determine the mass of the radioactive sample at the beginning of the 9th day of the experiment?During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
Mass of the substance (m₀) = 1300 grams
Rate of decay (r) = 14% per day = 0.14, time(t) = 9
The equation for the exponential decay:
M = m₀(1 - r)^t
M = 1300(1 - 0.14)⁹
M = 334.5 grams
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I need to know how to do this
Answer:
Look at picture
Step-by-step explanation:
What is equivalent to 5x+3
Answer : 5x+3
There are no like terms
PLEASE GIVE ME AS BRAINLIEST