[tex]-6y -31 =5\\\\\implies -6y = 5+31 = 36\\\\\implies y = -\dfrac{36}6 = -6[/tex]
Step-by-step explanation:
...........y=-6.........
An equivalent expression for16x-8
Answer:
8(2x-1)
Step-by-step explanation:
16x-8=8(2x-1)
Two boxes are similar. The longest dimension of the smaller box is 6 inches and its volume is 48 in3. The longest dimension of the larger box is 12 inches. What is the volume of the larger box?
Answer:96
Step-by-step explanation:
Functions f(x) and g(x) are define below.
f(x) = -sqrt x+2-3
g(x) = -2|x-3|+4
determine where f(x) = g(x) by graphing.
Answer:
slope:1
y-intercept:(0,0
Answer:
x = -1 and x = 8.1
See image
Step-by-step explanation:
If you are allowed to use your graphing calculator, the directions "solve by graphing" means to graph the equations and look for the points where the two graphs intersect (cross) or if allowed, use an online graphing utility such as Desmos. It is really useful. If you may not use a calculator or desmos, then sketch a graph of the functions. Using transformations can help you sketch a graph fairly quickly. You should be memorizing the shape of the graph in its simplest form
y=sqrt x
And
y=|x|
Transformations then reflect, shrink or stretch, and shift sideways or up or down the graph. This is only if you're not allowed to graph it using technology. Remember that the solution is where the graphs cross. ...a little bit tricky: the answers only give the x value instead if two ordered pairs.
please really need helpppppppp
Answer: [tex]f(x) = 200(\frac{1}{2})^{x}[/tex]
Step-by-step explanation:
If you plug in the x value(s) to each equation, you can see that [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer because each y value matches the y value on the table. Therefore, [tex]f(x) = 200(\frac{1}{2})^{x}[/tex] is the correct answer.
Please help! Even 1 answer would be helpful
In the original equation, x is a variable, hence f(x). If that term in the parenthesis changes, such as to 0 or -2, we will plug in that number in place of the current variable.
f(0) = 4(0)^2 + 3 = 0 + 3 = 3
f(-2) = 4(-2)^2 + 3 = 4(4) + 3 = 16 + 3 = 19
Hope this helps! :)
PLEASE HELP ASAP
What is the result if you divide -12x^8y^8 by 3x^4y^2 ?
A. -4x^2y^4
b. 4x^4y^6
c. 4x^2y^4
d. -4x^4y^6
Answer:
A.-4x^2y^4
that the answer
What does it mean by domain and range and how would I use that to fill out the table?
The domain is the set of all allowed x values. In this case, we consider the whole numbers between 0 and 10. So we have x = 0, x = 1, x = 2, ... all the way up to x = 10.
To find the y values, you replace each x with the numbers mentioned and simplify.
For instance, if x = 2, then,
f(x) = 3.50x
f(2) = 3.50*2
f(2) = 7
This tells us that x = 2 packages cost y = 7 dollars.
Help me: Solve: z^4 = -4
All answers should be in the format a+bi where a and b are real numbers
z²-2i=0
Answer:
Solution given:
z⁴=-4
doing square root on both side
[tex]\sqrt{z⁴}=\sqrt{2²*-1}[/tex]
we know i²=-1
substituting i² we get
z²=[tex]\sqrt{2²*i²}[/tex]
z²=2i
z²-2i=0 is a required answer. where
z² and 2 is real number.
Answer:
z = {-1 -i, -1 +i, 1 -i, 1 +i}
Step-by-step explanation:
Using Euler's formula, we can write the equation as ...
z^4 = 4e^(i(π +2πn)) . . . . . . where n is any integer
Then the 4th root is ...
z = (√2)e^(i(π +2πn)/4 = (√2)e^(i(π/4 +nπ/2)) . . . . . for n = 0–3
z = √2(cos(π/4+nπ/2) +i·sin(π/4 +nπ/2)) . . . . . for n = 0–3
z = ±1 ±i
z = {1 +i, -1 +i, -1 -i, 1 -i}
_____
Additional comment
Values of n are only needed in the range 0–3, because the answers repeat for values other than those.
Find x in the triangle
Answer:100
Step-by-step explanation:
The question confuses you since there is no extra variable to help you which is you have to create it yourself.
Let's create a variable called 'y' and make it the empty angle inside the triangle and next to x + 30. Since at K it will always equal to 180° because x+30 + y = 180°, we can rearrange to make y alone which would be become:
[tex]y=-x-30+180[/tex] which then becomes [tex]y = -x+150[/tex].
Also since the inside sum of angles in a traingle is equal to 180°, this can be written as
[tex]180 = (x-40) +(x-30)+y[/tex]
if we replace y with the equation we get
[tex]180=(x-40)+(x-30) + (-x+150)[/tex]
which can be simplified to
[tex]180=x+80[/tex] because 2x-x = x and -70+150 = 80
If we rearrange to solve for x, we get:
[tex]x = 180-80[/tex] ⇒ [tex]x=100[/tex]
We can verify this by putting the value of x in both equation:
[tex]y = -100+150 = 50[/tex] angle at k
[tex]100-40=60[/tex] angle at j
[tex]100-30=70[/tex] angle at l
[tex]50+60+70=180[/tex] this match the rules of the sum of interior angle always equal 180°
Pleaseeeeee I need help!
THANK YOU
[tex] \: \: \: \: \: \: \: [/tex]
[tex] \frac{3}{10} \\ \\ or \: in \: alternate \: \: form \\ \\ 0.3[/tex]
refer to the attachment for explanationhope it helpsFind the slope of the line that passes through (-10, -52) and (56, -37).
1/3 + 1/2 + 4/5 jdnjfnawbfaibgfiabfwhbruwbrfywhfywg8eyfhwa8uofhawufhaw
Answer: 49/30 or, 1 19/30
5) find the value of x and y
Answer:
x = 45°, y= 5°
Step-by-step explanation:
x = 9y
90+2x = 180
2x = 90
x = 45
so x = 45
9y = 45
y = 5
5.
In Vietnam, the probability of rain is 70%. Find the
probability of it raining at most 2 days in a week.
a) .9712
b) 0.0250
c) .0287
d) .2988
Answer: the answer is C which is .0287
The probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:
b) 0.0250
To find the probability of it raining at most 2 days in a week, we need to calculate the probability of it raining 0, 1, or 2 days in a week and then add those probabilities together.
Let's use the binomial probability formula for this calculation:
The probability of getting exactly "k" successes in "n" trials, each with a probability "p" of success, is given by:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where:
C(n, k) is the binomial coefficient, equal to n! / (k! * (n - k)!)
p is the probability of success (rain in this case)
n is the number of trials (number of days in a week)
In our case, the number of trials (n) is 7 days in a week, and the probability of rain (p) is 0.70.
Now, let's calculate the probabilities for k = 0, 1, and 2:
Probability of raining 0 days in a week:
P(X = 0) = C(7, 0) * 0.70^0 * (1 - 0.70)^(7 - 0)
Probability of raining 1 day in a week:
P(X = 1) = C(7, 1) * 0.70^1 * (1 - 0.70)^(7 - 1)
Probability of raining 2 days in a week:
P(X = 2) = C(7, 2) * 0.70^2 * (1 - 0.70)^(7 - 2)
Now, add these probabilities together to get the probability of it raining at most 2 days in a week:
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
Calculate the values using the binomial coefficients:
C(7, 0) = 1
C(7, 1) = 7
C(7, 2) = 21
Now, calculate the probabilities:
P(X = 0) = 1 * 1 * 0.3^7 ≈ 0.0002187
P(X = 1) = 7 * 0.7^1 * 0.3^6 ≈ 0.002775
P(X = 2) = 21 * 0.7^2 * 0.3^5 ≈ 0.016215
Finally, add these probabilities together:
P(X ≤ 2) ≈ 0.0002187 + 0.002775 + 0.016215 ≈ 0.0192087
Therefore, the probability of it raining at most 2 days in a week is approximately 0.0192 or 1.92%. The closest option to this result is:
b) 0.0250
So, the correct answer is (b) 0.0250.
Learn more about probability from the link given below.
https://brainly.com/question/32117953
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Factorise fully the following:
2x^2-8x
6x+9x^3
12x^3-4x^2
Step-by-step explanation:
1- 2x(x -4)
2- 3x(2-3x)
3- 4x²(3x-1)
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (1, 0), (7, 4)
Line 2: (7, 0), (3, 6)
Answer: Perpendicular
Step-by-step explanation: If you graph these points you will get two lines that from at a right angle and cross through each other. This means they are perpindicular.
Answer:
Perpendicular
Step-by-step explanation:
Lines that are parallel have the same slope, and lines that are perpendicular have an negative reciprocal slope.
To clarify, the reciprocal of 2 would be 1/2, and the negative reciprocal of 2 would be -1/2.
Calculate the slope of the lines by dividing the difference in y by the difference in x:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m_1=\frac{4-0}{7-1}=\frac{4}{6}=\frac{2}{3}\\\\m_2=\frac{6-0}{3-7}=\frac{6}{-4}=-\frac{3}{2}[/tex]
m₂ is the negative reciprocal of m₁, so these lines are perpendicular.
Showing the graph in the image as an example, though the equations only have the slope and not the y-intercept so the points wont be on the lines.
A scientist counted 3,921 total eggs in
49 sea turtle nests. Each nest had about
the same number of eggs. Which is the
best estimate of the number of eggs
she counted in each eggs?
Rewrite this equation below into standard form
y=−3−7x
Angeline wants to buy eggnog at the store. It costs 4.76 for three cartoons. What is the unit rate for one carton?
Answer:
See image
Step-by-step explanation:
Simple way: The cost of three items is given. Divide by 3 to find the cost of one item.
Next level: write a proportion by comparing like quantities (compare things that are the same in the same order)
Cost/numbers of items = Cost/number of items
We know all but one piece of information:
4.76/3 = x/1
Solve for x to find the price of one carton.
(-5,-2),(-7,r) if m=5/9 what is r? slope
Answer:
r = -28/9
Step-by-step explanation:
use slope formula of (y₂-y₁) / (x₂-x₁)
5/9 = [r - (-2)] / [-7 - (-5)]
5/9 = (r+2) /-2
cross-multiply to get:
-2(5) = 9(r+2)
-10 = 9r + 18
-28 = 9r
r = -28/9
Between what two whole numbers is the length of the
diagonal from M to N in the rectangular prism?
—HELP ASAP
I put a pic.
Answer in the pic hope it helps
Help ???????????? ?????
Answer:
A
Step-by-step explanation:
Answer:
the answer is BStep-by-step explanation:
What point of concurrency in a right triangle is also the midpoint of the hypotenuse?
A. centroid
B. incenter
C. circumcenter
D. orthocenter
The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .
What is point of concurrency?A point of concurrency is a place where three or more, but at least three lines, rays, segments or planes intersect in one spot. If they do, then those lines are considered concurrent, or the the rays are considered concurrent.
What is Triangle Concurrency Points?There are 4 different points of concurrency in the triangle are:
1. Circumcenter
The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.
For an obtuse-angled triangle, the circumcenter lies outside the triangle.
For a right-angled triangle, the circumcenter lies at the hypotenuse.
2. Incenter
The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.
3. Centroid
The point where three medians of the triangle meet is known as the centroid.
4. Orthocenter
The point where three altitudes of the triangle meet is known as the orthocenter.
For an obtuse-angled triangle, the orthocenter lies outside the triangle.
According to the question
The point of concurrency in a right triangle is also the midpoint of the hypotenuse.
According to the Triangle Concurrency Points
For a right-angled triangle, the circumcenter lies at the midpoint of the hypotenuse.
Hence, The point of concurrency in a right triangle is also the midpoint of the hypotenuse is its circumcenter .
To know more about Triangle Concurrency Points here:
https://brainly.com/question/1603917
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Is
13
6
A rational number?
Answer:
13/6 or 2 1/6 is a fraction and is rational number, so yes it is rational
answered it NO LINKS AND NO WEBSITES I really need help with this, and also if it's Substitution or linear combination and it's half solved.
Answer:
y=6+8
y=14
Step-by-step explanation:
y=14 is the answer to this question
What forms of the following equation in?
y+5=7(x−3)
Tell whether the ordered pair is a solution to the equation (-2, 3); y = -2x - 1
Answer:
yes, it a solution
Step-by-step explanation:
What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
Answer:
5π, about 15.708 units
Step-by-step explanation:
A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...
C = πd
For a diameter of 5 units, the circumference is ...
C = π(5) = 5π = 15.708 . . . units
_____
Additional comment
The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...
3² + 4² = 9 +16 = 25 = 5²
That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.
What is the equation for the line in slope-intercept form?
Answer:y=4x+4
Step-by-step explanation:
A recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour?
Answer:
8:10
Step-by-step explanation:
8 parts for brown sugar and 10 parts flour.
In simplest, 4:5 (divide 8 and 10 by 2)