100÷50000 can be written as 100/50000, then cancel out 2 of the zeroes, and you will get 1/500 or 0.002 as your final answer.
Which statement is false? Question 4 options: All whole numbers are integers. All natural numbers are whole numbers. All real numbers are irrational numbers. All whole numbers are real numbers.
Answer:
C
Step-by-step explanation:
Not all real numbers are irrational.
Given the function g(x) = x^2 – 10x + 19, determine the average rate of change of
the function over the interval 3 < x < 6.
Answer:
- 1
Step-by-step explanation:
The average rate of change of g(x) in the close interval [ a, b ] is
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
Here [ a, b ] = [ 3, 6 ] , then
g(b) = g(6) = 6² - 10(6) + 19 = 36 - 60 + 19 = - 5
g(a) = g(3) = 3² - 10(3) + 19 = 9 - 30 + 19 = - 2
average rate of change = [tex]\frac{-5-(-2)}{6-3}[/tex] = [tex]\frac{-5+2}{3}[/tex] = [tex]\frac{-3}{3}[/tex] = - 1
Find the length of the third side. If necessary, round to the nearest tenth.
12
13
Answer:
Submit Answer
attempt 1 out of 2
Privacy Policy Terms of Service
PLS HELP ASAP
Answer:
5
Step-by-step explanation:
Use pythagorean theorem. A^2+B^2=C^2
13 is c because it is the hypotenuse and across from the right angle
a is unknown and b is 12
A^2+12^2=13^2
A^2 +144 = 169
A^2 = 169- 144
A^2= 25
now take the sq root of both side
A = 5
Answer:
17.7
Step-by-step explanation:
During track and field practice yesterday, Louie ran more than 1.6 miles but less than 1.75 miles. Which of the following could NOT be the distance that Louie ran?
1.70 miles
1.35 miles
1.65 miles
1.601 miles
Answer:
1.35
Step-by-step explanation:
Can someone please help me with these 3 questions and help me check my work?
Answer:
18. [tex] x = 8 [/tex]
19. [tex] c = 9 [/tex]
20. [tex] d = \sqrt{10} [/tex]
21. 83 1/3 ft
22.
a. decay
b. growth
c. decay
Step-by-step explanation:
18.
[tex] \sqrt{x + 1} + 12 + 10 = 25 [/tex]
[tex[ \sqrt{x + 1} = 3 [/tex]
Square both sides.
[tex] x + 1 = 9 [/tex]
[tex] x = 8 [/tex]
19.
[tex] a^2 + b^2 = c^2 [/tex]
[tex] (\sqrt{75})^2 + (\sqrt{6})^2 = c^2 [/tex]
[tex] 75 + 6 = c^2 [/tex]
[tex] 81 = c^2 [/tex]
[tex] c = 9 [/tex]
20.
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] d = \sqrt{(3 - 4)^2 + (-9 - (-6))^2} [/tex]
[tex] d = \sqrt{(-1)^2 + (-3)^2} [/tex]
[tex] d = \sqrt{1 + 9} [/tex]
[tex] d = \sqrt{10} [/tex]
21.
Max: 5 ft tall; 3 ft shadow
Building: x ft tall; 50 ft shadow
5 ft is to 3 ft as x ft is to 50 ft
5/3 = x/50
3x = 250
x = 250/3
x = 83 1/3
Answer: 83 1/3 ft
22.
Exponential function:
y = a(b)^x
b is the number in parentheses raised to exponent x.
If b > 1, it is growth.
If b is between 0 and 1, it is decay.
Look at each case.
a. 0.85 is between 0 and 1: decay
b. 1.025 > 1: growth
c. 0.682 is between 0 and 1: decay
What is the slope of the graph?
points are
(0,3)(1,0)[tex]\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{0-3}{1-0}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-3}{1}[/tex]
[tex]\\ \sf\longmapsto m=-3[/tex]
If the functions f(x) and g(x) are
increasing on an interval, is the
interval? how about f(x) – g(x)?
Answer:
The difference will be increasing too
Step-by-step explanation:
If f(x) and g(x) is increasing in nature then
f(b) < f(a) and g(b) < g(a) for any a and b in the interval.
Subtracting these 2 equations, we get
f(b) - g(b) < f(a) - g(a) for any a and b in the interval.
Which means f-g is increasing in the interval (a, b) but as a and b were random real numbers we took, f(x) - g(x) will be increasing for an interval
What type of triangles has no equal sides and one right angle?
Answer:
Scalene Right Triangle
Step-by-step explanation:
A possible type of triangle that has no equal sides and one right angle is a right triangle.
Right triangles have just one angle that is equal to 90°, and they can be either isosceles or scalene triangles.
Hope this helped!
69°
X/75°
36°
X =
degrees
Enter
Answer:
x = 105°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles
x is an exterior angle of the triangle , then
x = 69° + 36° = 105°
factorize, x(x +2)3x+6
x(x+2)+3x+6
x^2+2x+3x+6
x (x+2)+3(x+2)
(x+3) (x+2)
Find the amplitude of y = -2 sin x
Answer:
Amplitude = 2
Step-by-step explanation:
The amplitude of this sine wave is 2 denoted by the coefficient -2 in front of the sin(x). The negative of the coefficient denotes that the sine wave is the opposite of the standard sine wave.
Cheers.
Anyone ?? Know the answers to these both? Due tmr morning
Answer:
Just use m a t h w a y for the answer
Step-by-step explanation:
Thank me later,or dont thank me at all
What type of number is 17?
There may be more than one correct answer.
Select all that apply.
If only one answer is correct, select "only" and the answer that applies.
rational
only
integer
natural
whole
Rational Numbers
Answer:
Rational, integer, natural, whole, rational numbers
Step-by-step explanation:
17 is a rational, integer, natural, whole, and is a rational number. I'm not totally sure why rational is on there, since rational and rational number should be the same thing. Basically it's everything but "only". If rational is supposed to mean irrational, then it's not irrational.
Convert into slope-intercept form: [tex]y-1=m(x-3)[/tex]
Answer:
y=2x-5
Step-by-step explanation:
First simplify: y-1=2x-6
y-1=2(x-3)
First simplify and distribute everything.
y-1=2x-6
So, x equals 2 because it got distributed into the numbers inside the parenthesis. Same with the 2 and -3. They multiplied to become -6.
Since it's y-1=2x-6, you can simplify it even more so the -1 goes to the other side and turns into positive 1.
y - 1 (+ 1) = 2x -6 (+ 1)
-1(+1)=0 which leaves just the variable y on the left side.
-6(+1)=-5 which leaves 2x-5 on the right side.
This results in y=2x-5. Hope this helped ;)
Answer:
y = 2x - 5
Step-by-step explanation:
y - 1 = 2(x - 3)
y - 1 = 2x - 6
y - 1 + 1 = 2x -6 + 1
y = 2x - 5
Help ASAP plssss! Thanks
Points are
(-2,-2)(4,4)[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(4+2)^2+(4+2)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{6^2+6^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{36+36}[/tex]
[tex]\\ \sf\longmapsto \sqrt{72}[/tex]
[tex]\\ \sf\longmapsto 8.4[/tex]
WILL GIVE BRAINLIEST
[tex]\frac{x^2+10x+25}{8x+40}[/tex]
What is an equivalent expression in the lowest terms?
plz help asap i have limited time i will give brainliest
Answer:
358
Step-by-step explanation:
In 1995, the boys were 50 %
Take the number of people at the convention in 1995 ( 716)
and multiply by 50%
716 * 50%
716 * .50
358
Answer:
b. 358
Step-by-step explanation:
First, find what percentage of attendees were boys in 1995:
By reading the graph, we can see 50% were boys.
In the table, we can see that there were 716 attendees in 1995.
To find how many boys attended in 1995, find 50% of 716.
716(0.5) = 358
A professor said 4/5 of his students passed the final examination. If 60 students took the exam, how many passed?
Answer:
Hey there!
We have that 4/5, or 80% of the 60 students passed the exam.
Thus, we have:
0.8(60)=48
48 students passed the exam.
Let me know if this helps :)
8 m minus 6 less or equal than 10
Hi there! :)
Answer:
[tex]\huge\boxed{m\leq 2}[/tex]
Equation:
8m - 6 ≤ 10
Add 6 to both sides:
8m ≤ 16
Divide both sides by 8:
8m/8 ≤ 16/8
m ≤ 2
Answer:
8m - 6≤ 10
m≤2
Step-by-step explanation:
8m - 6≤ 10
Add 6 to each side
8m - 6+6≤ 10+6
8m ≤ 16
Divide each side by 8
8m/8 ≤16/8
m≤2
5 less than a number is equivalent to 1 more than three times the number.
The value of the unknown number is calculated as - 3
Let the unknown number = y
5 less than the number is written as = y - 5
1 more than three times the number is written as = 1 + 3y
Since the first statement and the second statement are equal, we can equate the two and solve for y.
y - 5 = 1 + 3y
collect similar terms together
y - 3y = 1 + 5
-2y = 6
y = -6/2
y = -3
Therefore, the number is - 3
learn more here: https://brainly.com/question/22548668
Building and solving the expression, it is found that the number is -3.
------------------
The number is unknown, so we are going to call it x.5 less than the number is x - 5.Three times the number is 3x.1 more than three times the number is 1 + 3x.They are equivalent, thus:
[tex]x - 5 = 1 + 3x[/tex]
Solving for x.
[tex]3x - x = -5 - 1[/tex]
[tex]2x = -6[/tex]
[tex]x = -\frac{6}{2}[/tex]
[tex]x = -3[/tex]
The number is -3.
A similar problem is given at https://brainly.com/question/20742606
For what value of k does the equation (2k+1)x^2+2x=10x-6 have two real and equal roots?
Answer:
[tex]\displaystyle k = \frac{5}{6}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle (2k+1)x^2 + 2x = 10x - 6[/tex]
And we want to find the value of k such that the equation has two real and equivalent roots.
Since the equation is a quadartic, we can find its discriminant (symbolized by Δ). Recall that:
If Δ < 0, we have no real roots (two complex roots). If Δ > 0, we have two real roots. And if Δ = 0, we have one real root, or two equivalent ones.First, rewrite our equation:
[tex](2k+1)x^2 -8x + 6 =0[/tex]
The discriminant is given by:
[tex]\displaystyle \Delta = b^2 -4ac[/tex]
In this case, b = -8, a = (2k + 1), and c = 6.
Therefore, the discriminant is given by:
[tex]\displaystyle \Delta = (-8)^2 - 4(2k+1)(6)[/tex]
For it to have two equal roots, the discriminant must be zero. Hence:
[tex]\displaystyle 0 = (-8)^2 - 4(2k+1)(6)[/tex]
Solve for k:
[tex]\displaystyle \begin{aligned} \displaystyle 0 &= (-8)^2 - 4(2k+1)(6) \\ 0 &= 64 - 48k - 24 \\ 0 &= 40 - 48k \\ -40 &= -48k \\ \\ k &= \frac{5}{6} \end{aligned}[/tex]
Hence, the value of k is 5/6.
5/9 of a piece of metal has a mass of 7 kg. What is
the mass of the piece of metal?
No wrong answer or else I will report
Answer:
The mass of the metal is 12.6 kgStep-by-step explanation:
Let the mass of the metal be x
From the question
5/9 of the metal is 7kg
That's
[tex] \frac{5}{9} x = 7[/tex]
Multiply through by 9
We have
5x = 7 × 9
5x = 63
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{63}{5} [/tex]
We have the final answer as
x = 12.6 kg
The mass of the metal is 12.6 kgHope this helps you
Please help me I promise I will mark you brainliest if you are correct!!!!!!!!!!!!!!!!!!!!!!!!!! Use the graph of f to estimate the local maximum and local minimum. A quadratic graph is shown. The graph intercepts the x axis at approximately -2.8 and 1.2. A). No local maximum; local minimum: approx. (1,-7.67) B). Local maximum: (-2,8); local minima: (-3,0) and (3,3) C). Local maximum: approx. (1,8.08); local minima: approx. (-2,-7.67) and (3,2.75) D). Local maximum: ∞ local minima: (-3,0) and (3,3)
Answer:
Local Maximum Approx.: (1,8.08)
Local Minima Approx.: (-2,-7.67) and (3,2.75)
Step-by-step explanation:
Local maximums and minima there the highest and lowest points, respectively, on a graph in a specific region. (This is different from absolute maximum and minimum, which are the highest and lowest points overall.)
These are pretty clear to see on a curve, as they are the "turns" or the points where the curve switches direction from up to down or down to up.
On your graph, we have two local minima and one local maximum. The local minima are at x= -2 and x=3. The local maximum is at x=8. Because of the way the graph is, we have to approximate the y-values of each point.
The answer option which best describes this is the third option, so that is your answer.
Factor completely 3x^2 + 5x + 1. (3x + 1)(x + 1) (3x + 5)(x + 1) (3x − 5)(x + 1) Prime
Answer:
prime
Step-by-step explanation:
3x^2 + 5x + 1
3x^2 factors in to 3x and x
1 factors into 1 and 1
( 3x + 1) ( x+1)
We need to verify the middle is 5
3x+1x = 4x
so this is not true
We cannot factor this so it is prime
Answer:
[tex]\large \boxed{\sf Prime}[/tex]
Step-by-step explanation:
[tex]3x^2 + 5x + 1[/tex]
We need to find two numbers that add to 5 and multiply to get 1.
There are no real numbers.
The expression cannot be factored. The expression is prime.
3^2 dived (-4+5)^2-11+2^3 hope you can answer
Answer:
3^2 = 9
(-4+5)^2-11+2^3 = -2
-2/9 or -9/2 ... re-read question is 3^2 dividing into (-4+5)^2-11+2^3
or the other way around... I think that there is a missing word...
3^2 "divided into"
vs 3^2 "divided by"
Step-by-step explanation:
a.convert 150 grades into degree
b.find x and y if : (x+3,4) = (6,y)
c.one angle of a right angled triangle is 60 grades. Find the other angles in degree
Answer:
Hope it helps
Step-by-step explanation:
a)= 1 grade = 9/10 degree
150 = 9/10 × 150 degree
= 135 degree
b ) = solution
x+3 = 6
so, x = 3
y = 4
c) = let the unknown angle be x
now,
converting 60 grades into degree
= 60×9/10
= 54°
now
54° + 90° + x = 180°
144°-180° = -x
so, x = 36°
Sandra spotted the sailboat from the shore and measured the angle from the waterline to the top of the boats mast to be 7° if the top of the mask is 23 feet above the water how far is the middle of the sailboat from the shore? Estimate your answer to the nearest tenth.
Answer:
The middle of the sailboat is approximately 268.8 feet from the shore.
Step-by-step explanation:
Let the distance from shore to the middle of the boat be represented by x, the angle of elevation of Sandra from the shore to the top of the boat mast is 7°. Applying the required trigonometric function to this question, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan 7° = [tex]\frac{23}{x}[/tex]
⇒ x = [tex]\frac{23}{Tan 7^{0} }[/tex]
= [tex]\frac{23}{0.12279}[/tex]
= 268.7515
∴ x = 268.8 feet
The middle of the sailboat is approximately 268.8 feet from the shore.
Help me please Will give brainlist
Answer:
Step-by-step explanation:
These are geometric means problems. In the top one, a is the geometric mean as the height for both the smaller triangles inside the big one. Therefore,
[tex]\frac{4}{a} =\frac{a}{25\\}\\a^2=100\\a=10[/tex]
The next one has the geometric mean of b, being a part of the smaller triangle on the left and the big triangle as a whole:
[tex]\frac{4}{b} =\frac{b}{29}\\b^2=116\\b=10.77[/tex]
x^3 -2mx^2 +16
(x+2)
PLS ANSWER FAST
I WILL MARK YOU THE BRANLIEST
n/2-3n/4+5n/6=21 please tell the answer
Answer:
n= 36
Step-by-step explanation:
36/2-3 x 36/4+5 x 36/6=21
please give me brainliest if i got this right
Answer:
n=36
Step-by-step explanation:
By simplifying both sides of the equation, then isolating the variable.
n=36
I did this quickly so sorry if it's no help