Steps to solve:
-4 < 11 - 3x
~Subtract 11 to both sides
-15 < -3x
~Divide -3 to both sides
5 > x
Best of Luck!
How do you do this question?
Step-by-step explanation:
arctan(x) is less than π/2 for x > 0. Therefore, if we say g(x) = 13 (π/2) / eˣ, then f(x) < g(x) for all values of x > 0.
g(x) = 13 (π/2) / eˣ
g(x) = 13π/2 · (1/e)ˣ
So g(x) is a geometric series where r = 1/e. Since |r| < 1, the series converges.
Since g(x) converges, the smaller f(x) also converges.
if you place a 5ft ladder against the top of a 4ft building how many feet will the bottom of the ladder be from the bottom of the building?
Answer:
3 ft.
Step-by-step explanation:
When you imagine the sentence, it is a right angled triangle. In this case, it's a Pythagoras Theorem. The formula for it is:
a²(opposite) + b²(adjacent) = c²(hypotenuse)
The building is the opposite, the distance between the foot of the ladder and the building is the adjacent, while the ladder is the hypotenuse.
We have the measurements except for the adjacent. So it will be:
c² - a² = b²
5² - 4² = b²
25 - 16 = b²
9 = b²
√9 = b
b = 3 ft
The answer is 3 ft.
Estimate the difference to the nearest hundredth 8.394-2.199
The subtraction between 8.394 and 2.199 is estimated as 6.2
Subtraction of NumbersTo subtract two or more values from one another, we simply take one of the value from the other. Subtraction is a mathematical operation in mathematics that is aimed at reducing the value of a quantity.
In this case, the subtraction of the two numbers will leave a decimal value.
This is because both number subtracting from one another are decimal numbers
8.394 - 2.199 = 6.195
However, the question clearly asked we estimate the difference between the two values.
What we need to do is round up or round down the numbers to the nearest significant number.
We round down 8.394 ≅ 8 .4
We round up 2.199 ≅ 2.2
Subtracting these two numbers from one another, we would have 6.2
Learn more on subtraction here;
https://brainly.com/question/17301989
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The previous exercises states that the distribution of speeds of cars traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour. The speed limit on this stretch of the I-5 is 70 miles/hour. 5. A highway patrol officer is hidden on the side of the freeway. What is the probability that 5 cars pass and none are speeding? Assume that the speeds of the cars are independent of each other.
Answer:
The probability is [tex]P(X \le 70 ) = 0.7054 [/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 72.6 \ miles /hour [/tex]
The standard deviation is [tex]\sigma = 4.78 \ miles /hour[/tex]
The speed limit is [tex]x = 70 \ miles /hour[/tex]
Generally the probability that 5 cars pass and none are speeding is equivalent to the probability that the speed of the cars is less than x which is mathematically represented as
[tex]P(X \le x ) = 1 - P(X > x )[/tex]
Now
[tex]P(X > x) = P(\frac{X - \mu}{\sigma } >\frac{x - \mu}{\sigma } )[/tex]
Generally
[tex] \frac{X - \mu}{\sigma } = Z (The \ standardized \ value \ of \ X)[/tex]
So
[tex]P(X > 70) = P(Z >\frac{70 - 72.6}{72.6 } )[/tex]
[tex]P(X > 70) = P(Z > -0.54 )[/tex]
From the z-table
[tex] P(Z > -0.54 ) = 0.2946[/tex]
=> [tex]P(X > 70) = 0.2946 [/tex]
So
[tex]P(X \le 70 ) = 1 - P(X > 70 ) [/tex]
=> [tex]P(X \le 70 ) = 1 - 0.2946 [/tex]
=> [tex]P(X \le 70 ) = 0.7054 [/tex]
What do you guys think
Answer:
I think the last option D)
Answer:
you're answer would be D
The larger of two numbers is 3 less than the smaller number. If the sum of the numbers is 57. What are the two numbers?
Answer:b
Step-by-step explanation:
A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of getting a 2.
Explanation: There is 1 side that has what we want (rolling a 2) out of 6 sides total.
32.6 > 32.06
Is this true?
Answer:
yes
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
32.06 you cant add zeros but 32.6 you can add as many zeros as you want to my the eqation so knowing that the new eqation would be:
32.60>32.06 which is obvossly true.
Evaluate the expression if r = 12 and t = -6.
(t-r)/3
Answer:
-6
Step-by-step explanation:
[tex]\frac{(t-r)}{3}[/tex]
input the numbers
[tex]\frac{(-6-12)}{3}[/tex]
do the problem in the parentheses first
-6-12 = -18
now it becomes
[tex]-\frac{18}{3}[/tex]
simplify and you'll get
-6
this is because -18 ÷ 3 =
-6
Answer:
-6
Step-by-step explanation:
-6-12 divided by 3 is -6 because -6-12 is -18 and -18 divided by 3 is -6
The volume of a cube is 216 cubic inches. What is the length of each side of the cube?
Answer:
6 inch
Step-by-step explanation:
If you remember the concept of how to find volume of cube then its pretty easy.
You find it by multiplying the length of one side by itself 3 times.
In this case we have to do opposite so we have to just find the cube root of 216 which is 6.
Pls make me brainliest if you find it helpful.
Answer:
The answer is 6 i know this because it said it was right on IXL but it may not be true
Step-by-step explanation:
How do I do thisbfhdjdjdjdjdnndd
Answer: 95 minutes
Step-by-step explanation: 205-110=95
Answer:
205-110=90
Step-by-step explanation:
I helped my brothers on this question
Log Equation: Solve the following
Log5(4x+11)=2
Turn both sides into powers of 5:
[tex]\log_5(4x+11)=2\implies 5^{\log_5(4x+11)}=5^2\implies4x+11=25[/tex]
Solve for x :
[tex]4x+11=25\implies 4x=14\implies x=\dfrac{14}4=\boxed{\dfrac72}[/tex]
Answer:
x = 2 - log(48828125) / log(625)
x = -2.03466172
Step-by-step explanation:
Given the graph of a function f(x). What is f(-4)?
Answer:
f (k)
Step-by-step explanation:
Here, we are required to determine the value of f(-4) given the graph of a function f(x) as in the attached image.
The value of f(-4) given the graph of the function f(x) as in the attached image is; f(-4) = 2.The graph of the function f(x) is a curve, where x is the independent variable and f(x) is dependent on the value of x.
By observation, each box on the represents 1 unit on the x- and f(x) axis.
Ultimately, the point f(x) which corresponds to the point where x = -4 is; f(-4) = 2.
Therefore, f(-4) = 2 according to the graph of the function f(x) as given in the attached image.
Read more:
https://brainly.com/question/20632508
Which of the following functions is graphed below?
A. y = [x] - 6
B. y = [x] + 6
C. y = [x] - 4
D. y = [x] + 4
Hope the formatting is okay
20 points
Answer:
A-
Step-by-step explanation:
APEX
Answer:
negative six
Step-by-step explanation:
The answer is a
Find the quotient of -4 and -9.
-36
36
-9/4
9/4
Answer:
9/4
Step-by-step explanation:
Assuming you meant -9 and -4, it would be 9/4. The order you list the numbers matter. Quotient is the answer for a division equation, so you have to divide. If there is an even amount of negative numbers, the answer will be positive, if there is an odd amount the answer will be negative. Here we have an even amount, so the answer is positive.
Answer:
4/9 so D
Step-by-step explanation:
i have this question and -4 divided by -9 is 0.44444444 which that equals 4/9
have a nice day! i hope that helped
Between 11 P.M. and 8:36 A.M., the water level in a swimming pool decreased by 8 25 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
0.8594 in/hr
Step-by-step explanation:
Decreased in the water level is 8.25 in.
Time 11 P.M. and 8:36 A.M. is 9 hr 36 min = 9.6 hr.
The rate of decreasing water level is constant.
So, [tex]\text{Rate}=\frac{\text{Level decreased}}{\text{Time taken}}[/tex]
[tex]\Rightarrow \text{Rate}=\frac{8.25}{9.6}=0.8594 in/hr[/tex].
Hence, the water level drop at the rate of 0.8594 in/hr.
MATH/MECHANICS (please helpp!!!)
A particle P starts from a fixed point O at time t =0, where t is in seconds and moves with constant acceleration in a straight line. The initial velocity of P is 1.5ms−1 and its velocity when t =10 is3.5ms−1.
(i)Find the displacement of P from O when t =10. [2]
Another particle Q also starts from O when t =0 and moves along the same straight line as P. The acceleration of Q at time t is 0.03t ms−2.
(ii)Given that Q has the same velocity as P when t = 10, show that it also has the same displacement from O as P when t =10.
Answer:
OP = 25 mOQ = 25 mStep-by-step explanation:
(i) Since acceleration is constant, velocity is a linear function of time. The average velocity over the interval will serve for the purpose of computing the displacement.
d = (v1+v2)/2×t = (1.5 m/s +3.5 m/s)/2·(10 s) = 25 m
P is displaced 25 meters from O when t=10.
__
(ii) Letting the initial velocity be represented by v1, we find the velocity as a function of time to be ...
[tex]\displaystyle v(t)=v_1+\int_0^{t}{a(t)}\,dt=v_1+\int_0^{t}0.03t\,dt=v_1+\dfrac{0.03t^2}{2}\\\\v(10)=v_1+0.015\cdot 10^2 = v_1+1.5\\\\3.5=v_1+1.5\ \rightarrow\ v_1=2.0\quad\text{m/s}\\\\v(t)=2.0+0.015t^2[/tex]
Then the displacement is the integral of velocity ...
[tex]\displaystyle d=\int_0^{10}{v(t)}\,dt=\int_0^{10}{(2.0+0.015t^2)}\,dt\\\\d=2.0(10)+0.015\left(\dfrac{10^3}{3}\right)=20+5=25[/tex]
Q is also displaced 25 meters from O when t=10.
Change general form of hyperbola into standard: -x^2 + y^2 -16x + 14y - 251 = 0
Answer:
(y+7)²/364 - (x+8)²/364 = 1
Step-by-step explanation:
This is the standard form of a vertical hyperbola (y-k)²/a² - (x-h)²/b² = 1
so, (y²+14y+?) - (x²+16x+?) = 251
(y²+14+49)-49 - (x²+16x+64)-64 = 251
(y+7)² - (x+8)² = 251 + 49 + 64
(y+7)² - (x+8)² = 364
(y+7)²/364 - (x+8)²/364 = 1
Eva deposited these checks into her account $284.39, $15.44, $386.12. She received no cash back. What was her deposit total?
∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-16)^{\circ}∠A=(2x−16) ∘ and m\angle B=(5x+28)^{\circ}∠B=(5x+28) ∘ , then find the measure of \angle A∠A.
Answer:
The measure of angle A is 32
Step-by-step explanation:
A+B=180
2x-16+5x+28=180
7x+12=180
7x=168
x=24
A=2(24)-16
A=48-16
A=32
Answer:
The dude above is right it's 32, I put it in and it's right :-)
Step-by-step explanation:
Given regular pentagon ABCDE, what are the coordinates of vertex C?
a) (b, c)
b) (b, -c)
c) (-b, c)
d) (-b, -c)
Answer: a
Step-by-step explanation: C is in quadrant 1 and quadrant 1 is (+,+)
The coordinate of the point C will be (b, c). Then the correct option is A.
What is regular pentagon?The polygon which is having five sides and each side are congruent. And each internal angle of the Pentagon will be of 108 degrees.
The pentagon ABCDE with the coordinate of A, B, C, D, and E are given below.
If a line intersect the shape and the shape look identical on both sides of line, then the line is known as axis of symmetry.
In a regular pentagon, there are five line of symmetry.
In the figure, the y-axis is the axis of symmetry and the axis of symmetry is passing through the point D.
The point C is in the first coordinate, then the abscissa and ordinate will be positive.
Then the coordinate of the C will be (b, c).
Then the correct option is A.
More about the regular pentagon link is given below.
https://brainly.com/question/929013
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Can someone please help me with this as soon as possible
LP = HE
5x + 6 = 31
Subtract 6 from both sides
5x = 25
Divide both sides by 5
X = 5
Answer:
5x+6=31(opposite sides are equal)
5x=31-6
5x=25
x=25/5
x=5
hope it helps u
.
-x^4+25x^2 factor completely.
Answer:
-x^2(x + 5)(x - 5)
Step-by-step explanation:
x^2 is common to both terms of -x^4+25x^2:
x^2(-x^2 + 25)
and the binomial factor can be factored further:
x^2(x + 5)(-x + 5) or
-x^2(x + 5)(x - 5)
Can you please help me to solve this mathematical question:
(+1) - (-9) = ?
Answer:
-8
this is the all answer but no steps
Suppose there are 106 (1 million) asteroids that are 0.87 km in radius. If they were all combined into a single sphere, calculate the radius of this sphere in km.
Answer:
87km
Step-by-step explanation:
Volume is proportional to radius cubed, so radius is proportional to the cube root of volume.
Increase volume by a factor of 10^6 and radius increases by a factor of the cube root of 10^6, which is 10^(6/3) = 10^2 = 100.
100 * 0.87 km = 87 km
I need help on 3-6 on page 10 I’ll give you brainliest
#3 is C, parallelogram is rotated -90° I think and moved down, so rotation and translation
#4 is B, I don't think the picture is showing how the fish loved, and it's facing a different way, so it's rotation
#5 is D, reflected over the x axis and translated to the right
#6 is B, reflected across the y axis
I hope these answers are correct, I'm answering right now at 3 am
Molly loves making chicken nuggets. She makes 4 1⁄2 servings. Molly
places 3⁄4 of a serving on each plate. How many plates can she fill?
Answer:
5 1/4
Step-by-step explanation:
change 4 1/4 to 4 2/4
2/4+3/4= 5/4
4 + 5/4 = 5 1/4
If a ball is kicked with a speed of 2.5 m/s, how long does it take the ball to move 40 meters? (no units required for your answer)
Answer:
16
Step-by-step explanation:
40 divided by 2.5 equals 16
Find the truth value of (p ^ q) v r. (Make a truth table.)
p: (-4)2 > 0
q: An isosceles triangle has two congruent sides.
r: Two angles, whose measure have a sum of 90, are supplements.
Answer:
p: (-4)2 > 0
q: An isosceles triangle has two congruent sides.
r: Two angles, whose measure have a sum of 90, are supplements.
Step-by-step explanation:
p: (-4)2 > 0
q: An isosceles triangle has two congruent sides.
r: Two angles, whose measure have a sum of 90, are supplements.
anyone know the answer to number 4?
answer my questions plz
