Answer:
v ≤ -3 v < -13
Step-by-step explanation:
5v + 10 ≤ -4v - 17 < 9 - 2v
5v + 10 ≤ -4v - 17
Solve this first. Bring all the like terms together, on one side.
5v + 4v ≤ -17 - 10
9v ≤ -27
v ≤ \(\frac{-27}{9}\)
v ≤ -3
Take the rest of the inequality.
-4v - 17 < 9 -2v
Bring all the like terms together.
-4v + 2v < 9 + 17
-2v < 26
v < \(\frac{-26}{2}\)
v < -13
Two parallelograms are similar. The base of the first is 12cm, and its height is 8 cm. Find the base of the second parallelogram if its height is 34 cm.
Answer:
The base of the second parallelogram is 51cm.
Step-by-step explanation:
If the parallelograms are similar, it means by applying the same scale factor to all the sides in one gives you the other. The question tells us the height of the first shape is 8cm and the height of the second shape is 34cm. That means the scale factor is:
\(\frac{34}{8}=4.25\)
Apply this same scale factor to the base of the first shape to find the base of the second:
\(12 \times 4.25=51\)
The following argument is missing a premise. some non-poodles are not non-cats and no cats are dogs so some poodles are dogsTrueFalse
The missing premise is "all dogs are non-cats." Therefore, the argument is true.
The given information and analyze the argument step-by-step.
1. Some non-poodles are not non-cats: This statement means that there are some animals that are not poodles and are also cats.
2. No cats are dogs: This statement means that there is no overlap between cats and dogs.
Now, let's try to determine if "some poodles are dogs" can be concluded from these premises:
Since no cats are dogs, it doesn't matter whether some non-poodles are not non-cats. Poodles are a breed of dog, so it's already a fact that poodles are dogs.
So, the answer is True: some poodles are dogs.
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The quotient of a number and 2 A. x/2 B. 2/x
Step-by-step explanation:
The quotient of a number and 2
Solution,
Let the number be x, then
\( \frac{x}{2} \)
Answer:
The quotient of a number and 2
Let the required number be x
According to the above problem
\( →x \div 2 = \boxed{\frac{x}{2} }✓ \)
A. x/2 is the right answer.= What is the rational exponent of square root of 15
Answer:
\(\frac{1}{2}\)
Step-by-step explanation:
using the rule of exponents/ radicals
\(\sqrt{x}\) = \(x^{\frac{1}{2} }\) , then
\(\sqrt{15}\) = \(15^{\frac{1}{2} }\)
Given f(x) = 3x - 4, find f(5). Write your answer as a number.
F(5) means replace x with 5 then solve:
3x-4 = 3(5)-4 = 15-4 = 11
F(5) = 11
can someone explain the meaning of surface area and give me an example of it is
Answer:
The surface area of a solid object is a measure of the total area that the surface of the object occupies. ... Their work led to the development of geometric measure theory, which studies various notions of surface area for irregular objects of any dimension. An important example is the Minkowski content of a surface.
Pls help, I need it fast
3. Peter can paint a room for 8 hours and Karen
can paint the same room in 5 hours. How many
hours will it take for both of them to paint the same
room
Answer:
3 1/13 hours
Step-by-step explanation:
hope it helps
I can enter the problem here so ill add a picture, sorry for the inconvenience
Given two numbers a and b
Their Arithmetic mean (A), Geometric mean (G) and Harmonic mean (H) are given below,
\(\begin{gathered} A=\frac{a+b}{2} \\ G=\sqrt[]{ab} \\ G=\sqrt[]{AH} \end{gathered}\)To find the formula that correctly relates H, a and b,
Relating the last two equations, i.e the geometric and harmonic mean below,
\(\begin{gathered} G=\sqrt[]{ab} \\ G=\sqrt[]{AH} \\ \text{relating both equations} \\ \sqrt[]{ab}=\sqrt[]{AH} \\ \text{Square both sides } \\ (\sqrt[]{AH})^2=(\sqrt[]{ab})^2 \\ AH=ab \\ \text{Make H the subject},\text{ by dividing both sides by A} \\ \frac{AH}{A}=\frac{ab}{A} \\ H=\frac{ab}{A} \end{gathered}\)Substituting for A into the above expression,
\(\begin{gathered} \text{recall A=}\frac{a+b}{2} \\ H=\frac{ab}{A}=\frac{ab}{\frac{a+b}{2}} \\ H=(2\times\frac{ab}{a+b})=\frac{2ab}{a+b} \\ H=\frac{2ab}{a+b} \end{gathered}\)Hence, A is the correct option.
Let u=In(x) and v=ln(y), for x>0 and y>0.. Write In (x³ Wy) in terms of u and v. Find the domain, the x-intercept and asymptotes. Then sketch the graph for f(x)=In(x-3).
To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.
How can ln(x³y) be written in terms of u and v, where u = ln(x) and v = ln(y)?To find ln(x³y) in terms of u and v, we can use the properties of logarithms. ln(x³y) can be rewritten as ln(x³) + ln(y), and using the property ln(a^b) = bˣ ln(a), we have 3ln(x) + ln(y) = 3u + v.
The domain of the function f(x) = ln(x-3) is x > 3, since the natural logarithm is undefined for non-positive values. The x-intercept occurs when f(x) = 0, so ln(x-3) = 0, which implies x - 3 = 1. Solving for x gives x = 4 as the x-intercept.
There are no vertical asymptotes for the function f(x) = ln(x-3) since the natural logarithm is defined for all positive values. However, the graph approaches negative infinity as x approaches 3 from the right, indicating a vertical asymptote at x = 3.
To sketch the graph of f(x) = ln(x-3), we start with the x-intercept at (4, 0). We can plot a few more points by choosing values of x greater than 4 and evaluating f(x) using a calculator.
As x approaches 3 from the right, the graph approaches the vertical asymptote at x = 3. The graph will have a horizontal shape, increasing slowly as x increases. Remember to label the axes and indicate the asymptote on the graph.
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The sum of the reciprocals of two consecutive odd integers is 12/35. Find the two integers.
The two consecutive odd integers are 9 and 11. 1/8 plus 1/11 equals 12/35.
The sum of the reciprocals of two consecutive odd integers is 12/35.
1/x + 1/(x+2) = 12/35
(x+2)/(x*35) + (x/35) = 12/35
x + 2 + x = 12
2x = 10
x = 5
5 and 7 are the next two odd numbers.
The sum of the reciprocals of two consecutive odd integers is 12/35. To find the two integers, we need to solve for x. Since the two integers are consecutive and odd, the equation
1/x + 1/(x+2) = 12/35
can be used to find x. We can then multiply both sides of the equation by x*35 and simplify it to (x+2)/(x*35) + (x/35) = 12/35.
By subtracting x/35 from both sides and then adding 2 to both sides, we can get the equation
x + 2 + x = 12.
By solving the equation 2x = 10, we find that x = 5. This means that the two consecutive odd integers are 5 and 7. This can also be verified by checking that 1/5 + 1/7 is equal to 12/35.
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8/3 + (-9/4) reduce to simplest form
Helpppp meee with this math
Hi there Ms or Mr I'm kinda new to geometry here so I'm still in a bit of practice could guide me here step by step please?I'm stuck with "If HEY=72 what is m
Answer:
m∠ZHS = 72°
Explanation:
We have the following diagram:
Now, the green angles are called corresponding angles. These angles have the same measure. So, ∠HEY and ∠ZHS are corresponding angles. It means that if the measure of ∠HEY is 72°, the measure of ∠ZHS is also 72°
Therefore, m∠ZHS = 72°
Can someone please solve this I'm stuck and an explanation would be nice
3(5 + x) = 60
\(\large \maltese \: \: { \underline{ \underline{ \pmb{ \sf{SolutioN }}}}} : - \)
➺ 3 (5 + x) = 60➺ 3 (5) + 3 (x) = 60➺ 3 × 5 + 3 × x = 60➺ 15 + 3 × x = 60➺ 15 + 3x = 60➺ 3x = 60 - 15➺ 3x = 45➺ x = 45/3➺ x = 15Answer:
x = 15Step-by-step explanation:
Solution\( \large \sf \leadsto \: \: 3(5 + x) = 60\)
Now,
\(\large \sf \leadsto \: 15 + 3x = 60\)
\(\large \sf \leadsto \: 3x = 60 - 15\)
\(\large \sf \leadsto3x = 45\)
\(\large \sf \leadsto x= \frac{45}{3} \)
\(\large \bf \leadsto \: x \: = 15\)
\( \underline { \rule{190pt}{5pt}}\)
Which set of numbers includes only integers?
Rational Numbers
Integers
Whole Numbers
Answer:
B
Step-by-step explanation:
Integers are like whole numbers, but they can also be negative.
Some examples of integers are -1, 2, 5 etc.
-20x+33=-7
solve for x
Answer:
x=2
Step-by-step explanation:
tell me if i need to explain to you
-20x + 33 = -7
- 33 -33
-----------------------
-20x = -40
------ ------
-20 -20
-40 divided by -20 = 2
So x is 2
Help needed ASAP will give BRAINLIEST not a real test
Answer:
D. 7/4
Step-by-step explanation:
If you count from 0 - 1 you count 4 times. So the line is going up by 0.25.
So if you count from 0 - A (red dot) you will count 7 times.
So the numerator would be 7 and the denominator would be 4.
Another way//
The increments go up by 4 and point A is nearly at 2.
2*4 = 8, however the point is one below the number 2.
Hence, 8-1 = 7
7/4
50 = -1/3b + 20
what is b?
To find b, start by subtracting 20 from both sides:
50 = -1/3b + 20
-20 -20
30 = -1/3b
Now isolate b by dividing both sides by -1/3:
30/(-1/3) = (-1/3b)/(-1/3)
-90 = b
b is 90!
hope this helps !!
Please help me it’s trig!!!!!!!
The measure of angle of ∠BAM (θ) will be 9°. Then the correct option is D.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
ABCD is a rectangle with AB = 3BC.
And M is the mid-point of BC.
2BM = BC
Then the tangent of angle of ∠BAM (θ) will be
tan θ = (BM) / (AB)
tan θ = (BM) / (3BC)
tan θ = (BM) / (3 × 2BC)
tan θ = 1/6
θ = tan⁻¹ (1/6)
θ = 9.46°
θ ≅ 9°
Then the correct option is D.
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What does Jing-mei`s mother want her to be?
Answer: Jing-mei's mother wants her to be a prodigy because her friend Lindo Jong's daughter Waverly is a chess prodigy. She also wants her daughter to be successful.
Step-by-step explanation:
Triangle J K L is shown. Point N is the midpoint of side J L and point M is the midpoint of side K L. The length of J K is 19.6 meters. The lengths of J N and N L are 7.4 meters. The lengths of K M and M L are 10.7 meters.
What is the distance between points M and N?
meters
The distance between points M and N according to the task content is; 9.8 meters.
What is the distance between points M and N?From observation of the task content information; it can be deduced for a fact that the line segment MN which joins points M and N is parallel to the line JK. This follows from the fact that M and N are midpoints of KL and JL respectively.
Hence, it follows that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality;
NM/19.6 = 7.4/(2×7.4)
NM = 19.6/2 = 9.8 meters.
This follows from congruence theorems in which case, the ratio of corresponding sides of congruent triangles are equal.
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Answer: 9.8 meters
Step-by-step explanation: Trust Me!! I got the answer correct on Edge.
Q: What is the distance between points M and N?
A: 9.8 meters
help me solve this problem please
Answer:
Step-by-step explanation:
If you put all the numbers on the number line it would be, -4/3, -4/5, -2/3, 7/10, 7/10, so the correct answer is letter A.
For a standard normal distribution, a negative value of z indicates _____.
For a standard normal distribution, a negative value of z indicates that the observed value is below the mean of the distribution.
In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, a negative value of z indicates that the observed value is located below the mean. The z-score represents the number of standard deviations a data point is away from the mean.
A negative z-score means that the observed value is lower than the mean, indicating that it falls to the left of the center of the distribution. This means that the data point is relatively lower compared to the average and can provide information about its position within the distribution and its deviation from the mean.
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please help thank you
So tell me yáll real name
mines is Shakira
Answer:
My name is Melanie
Step-by-step explanation:
Answer:
Mine is Aday but pretty much everybody calls me Aya
Step-by-step explanation:
Help with this please.
Answer:
TrueTrueStep-by-step explanation:
This question asks you to compare the coordinates of the vertex of each function.
__
The vertex of the function is its minimum, the point where the graph stops decreasing and starts increasing. It is the lowest point on the graph.
f(x)The vertex is (-4, -1). The minimum is -1, located at x = -4.
g(x)The vertex is (1, -25). The minimum is -25, located at x = 1. We know this is the minimum because there are no g(x) values that are lower (more negative).
comparisonThe minimum of f(x), -1, is greater than the minimum of g(x), -25. TRUE
The x-value of f(x) at its minimum, -4, is less than the x-value of g(x) at its minimum, 1. TRUE
Find the standard form for the equation of the line which passes through the point (10, 53) and which has a y-intercept of — 3.
Answer:
Step-by-step explanation:
eq. of line with slope m and intercept 3 is
y=mx+3
∵ it passes through (10,53)
53=10m+3
10m=53-3=50
m=50/10=5
y=5x+3
so standard form of eq. is
5x-y+3=0
or
5x-y=-3
16. Describe, step-by-step how to find the slope of a line through two points.
Answer:
1. find the 2 points and determine their coordinates.
2. determine the difference in the rise or y-coordinates.
3. determine the difference in the run or x-coordinates.
4. place the rise over the run and divide to find slope
Suppose A and B represent mutually exclusive events.
What is P(A or B) if P(A)= 3/5 and P(B)= 1/3?
A- 11/15
B- 3/15
C- 14/15
D- 4/15
Answer:
14/15
Step-by-step explanation:
simple
3/5 + 1/3= 14/15
Let f(x) = 4x² + 6.
The quadratic function g(x) is f(x) translated 3 units up.
What is the equation for g(x) in simplest form?
g(x) = ____
g (x) = 4x² + 10 is the equation for g(x) in the simplest form.
What is a function?A special relationship where each input has a single output is called a function.
Given that, f(x) = 4x² + 6, the quadratic function g(x) is f(x) translated 3 units up.
The translation of a function f (x) in the Cartesian coordinate domain can be done by following the given guidelines:
Translation guidelines ;
Horizontal shifts
Right : f (x) → f (x - a)
Left : f (x) → f (x + a)
Vertical shifts
Up : f (x) → f (x) + b
Down : f (x) → f (x) - b
General shift (Horizontal and Vertical shift) is;
f (x) → f (x ± a) ± b
We will use the guidelines for Vertical shifts, where in this case the magnitude of b = 4.
f (x) = 4x² + 6
g (x) = f (x) + 4
g (x) = 4x² + 6 + 4
g (x) = 4x² + 10
Hence, the equation for g(x) in the simplest form is g (x) = 4x² + 10
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