Aver si le entiendes bro
This is a 30-60-90 triangle. What is the measure of x? rationalize the denominator.
Answer:
[tex] x=\frac{[2] \sqrt {[21] }}{[3] }[/tex]
Step-by-step explanation:
Since, given is a 30°-60°-90° triangle.
[tex] \therefore \sqrt 7 = \frac{\sqrt3}{2} \times x[/tex]
[tex] \therefore 2\sqrt 7 = \sqrt3 \times x[/tex]
[tex] \therefore x=\frac{2\sqrt 7}{\sqrt 3}[/tex]
[tex] \therefore x=\frac{2\sqrt 7(\sqrt 3)}{\sqrt 3(\sqrt 3)}[/tex]
[tex] \huge \therefore x=\frac{[2] \sqrt {[21] }}{[3] }[/tex]
Force: F = MA; Solve for m.
mass = force / area
this is second law of motion ( Newton's 2nd law)
[tex]\longrightarrow{\blue{ m = \frac{F}{a} }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Explanation}}{\red{:}}}}}[/tex]
F = ma
➺ m = [tex]\frac{F}{a} [/tex]
where,
F = Force
m = mass
a = acceleration
"F = ma" is Newton's second law of motion, which states that force is equal to mass times acceleration.
The SI unit of force is newton, symbol N.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
So are you good at maths then what is
[tex]4 \times 6 + 9 - 46 + 54 - 13[/tex]
1. 71
2. 42
3. 63
4. 28
5. 35
6. 14
maybe 28 is the answer...
In the coming year, a vehicle manufacturer has decided to manufacture 150 vehicles per day. The function v = 150d represents the company’s production for the coming year, v, with respect to the number of days, d.
The rate of change of the function representing the number of vehicles manufactured for the coming year is , and its graph is a . So, the function is a function.
Given:
v = 150d
v represents company's production for the coming year
d represents the number of days
150 is the daily production
The rate of change of the function representing the number of vehicles manufactured for the coming year is CONSTANT (150) , and its graph is a STRAIGHT LINE . So, the function is a LINEAR function.
I hope this helps!
Answer:
v = 150d
v represents company's production for the coming year
d represents the number of days
150 is the daily production
Student researchers investigated whether balsa wood is less elastic after it has been immersed in water. They took 60 pieces of balsa wood and randomly assigned half to be immersed in water and the other half not to be. They measured the elasticity by seeing how far (in inches) the piece of wood would project a dime into the air.
Required:
​Does the p-value obtained using the theory-based method (p < 0.0001) agree with that obtained using the randomization/simulation-based method (p < 0.0001)?
Yes, they are quite similar. the p-value obtained using the theory-based method (p < 0.0001) agree with that obtained using the randomization/simulation - based method (p < 0.0001)
P- value is the probability of obtaining a value of test statistic more extreme in the direction of alternative hypothesis than the observed one. In easy words if p -value < level of significance we reject H0 in favor of H1.
Here:
p-value < 0.0001 => we reject H0.
If the statistical software renders a p value of 0.000 it means that the value is very low, with many "0" before any other digit.
So the interpretation would be that the results are significant, same as in the case of other values below the selected threshold for significance.
Therefore, yes they are quite similar.
Learn more about balsa wood here:
https://brainly.com/question/33256379
#SPJ2
Incomplete Question:
Student researchers investigated whether balsa wood is less elastic after it has been immersed in water. They took 60 pieces of balsa wood and randomly assigned half to be immersed in water and the other half not to be. They measured the elasticity by seeing how far (in inches) the piece of wood would project a dime into the air.
Does the p-value obtained using the theory-based method (p < 0.0001) agree with that obtained using the randomization/simulation-based method (p < 0.0001)?
A. No, they are different.
B. Yes, they are quite similar.
Answer the following: a) 2x32 =
b) (2 x 3)2 =
Answer:
a) 64 b) 12
Step-by-step explanation:
32 + 32 = 64
2*3 = 6
6*2 = 12
Answer:
a) 64 b) 12
Step-by-step explanation:
The answer for a is simple the answer is 64 just multipy 32 with 2 and the second one first you have to solve he answer iin the bracket then the answer you get from the bracket you will have to multiply with the number outside the bracket which is 2 and the answer you get will be 12.
Find the missing segment in the image below
The harmonic mean of two real numbers x and y equals 2xy/(x + y). By computing the harmonic and geometric means of different pairs of positive real numbers, formulate a conjecture about their relative sizes and prove your conjecture.
Answer:
Conjecture : 2xy / ( x + y ) ≤ √xy
Step-by-step explanation:
Harmonic mean of x and y = 2xy/( x + y )
Formulate a conjecture about their relative sizes
we will achieve this by computing harmonic and geometric means
Geometric mean = √xy
harmonic mean = 2xy/( x + y )
Conjecture : 2xy / ( x + y ) ≤ √xy
attached below is the proof
Which type of parent function is f(x) =1/2
Answer:
I think you are missing something unless the answer is a horizontal line.
Step-by-step explanation:
Answer:
square root
Step-by-step explanation:
just took the test :)
Suppose that 48% of high school students would admit to lying at least once to a teacher during the past year and that 25% of students are male and would admit to lying at least once to a teacher during the past year.20 Assume that 50% of the students are male. What is the probability that a randomly selected student is either male or would admit to lying to a teacher, during the past year? Be sure to show your work and indicate all the rules that you use to find your answer.
Answer:
0.73 = 73% probability that a randomly selected student is either male or would admit to lying to a teacher, during the past year.
Step-by-step explanation:
I am going to treat these events as Venn probabilities, considering that:
Event A: Lying to the teacher.
Event B: Male
48% of high school students would admit to lying at least once to a teacher during the past year and that 25% of students are male and would admit to lying at least once to a teacher during the past year
This means that [tex]P(A) = 0.48, P(A \cap B) = 0.25[/tex]
Assume that 50% of the students are male.
This means that [tex]P(B) = 0.5[/tex]
What is the probability that a randomly selected student is either male or would admit to lying to a teacher, during the past year?
This is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Considering the values we were given:
[tex]P(A \cup B) = 0.48 + 0.5 - 0.25 = 0.73[/tex]
0.73 = 73% probability that a randomly selected student is either male or would admit to lying to a teacher, during the past year.
Point V is located at -16. Points W and X are each 7 units away from Point V. Where are W and X located?
Answer:
Location of W is - 23, location of X is - 9.
Step-by-step explanation:
location of V = - 16
Points W and X are each 7 units away from Point V.
Let the W is at left of V and X is right of V.
location of W = -16 - 7 = - 23
location of X = - 16 + 7 = - 9
Please show work thank you
Answer
No solution
Step-by-step explanation:
4y + 2x = 18
3x + 6y = 26
You need either the x's or the y's to have the same coefficients.
let's line things up first.
4y + 2x = 18 (multiply by 3)
6y + 3x = 26 (multiply by 2)
to keep numbers relatively small we will multiply the top equation by 3 and the bottom equation by 2. Multiply all terms. This will make the coefficients equal.
12y + 6x = 54
12y + 6x = 52
So, if you subtract them from each other you get :
0 = 2
When this happens the solution set is : no solution
Answer:
Impossible
Step-by-step explanation:
Ok, so we first rearrange for convenience:
2x+4y=18
3x+6y=26
We multiply the two equations to eliminate x:
2x+4y=18 * -3
3x+6y=26 * 2
So:
-6x-12y=-54
6x+12y=52
And now we add the two equations:
0+0= -2
Try multiplying the two equations by any other number which will lead to them cancelling, (eg. -9, 6), still the equation will not work.
Solve the equation by using the quadratic formula.
3 x squared minus 1 = 7 x
Answer:
b. [tex]\frac{7+\sqrt{61} }{6} ,\frac{7-\sqrt{61} }{6}[/tex]
Step-by-step explanation:
[tex]3x^{2} -1=7x[/tex]
Quadratic equations are suppose to be written as: [tex]ax^2+bx+c=0[/tex]
so the new quadratic equation for this problem will be: [tex]3x^{2} -1-7x=0[/tex]
Now rearrange the terms: [tex]3x^{2} -7x-1=0[/tex]
Then use the Quadratic Formula to Solve for the Quadratic Equation
Quadratic Formula = [tex]x=\frac{-b±}{} \frac{\sqrt{b^2-4ac} }{2a}[/tex]
Note: Ignore the A in the quadratic formula
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
[tex]3x^{2} -7x-1=0[/tex]
a = 3
b = -7
c = -1
[tex]x=-(-7)±\frac{\sqrt{(-7)^2-4(3)(-1)} }{2(3)}[/tex]
Evaluate The Exponent
[tex]x=\frac{7±\sqrt{(49)-4(3)(-1)} }{2(3)}[/tex]
Multiply The Numbers
[tex]x=\frac{7±\sqrt{49+12} }{2(3)}[/tex]
Add The Numbers
[tex]x=\frac{7±\sqrt{61} }{2(3)}[/tex]
Multiply The Numbers
[tex]x=\frac{7±\sqrt{61} }{6}[/tex]
There are 38 Legs in a group of goat and hens. How many goats and hens are there?
1) 13 Goats , 3 hens
2) 11 goats ,3hens
3) 7 goats,3 hens
4) 8 goats,3 hens
Answer:
4)8 goats, 3 hens.
Step-by-step explanation:
8*4=32
3*2=6
32+6=38
A cyclist travels 3 miles in 15 minutes and then a further 7 miles in 25 minutes without stopping.
Calculate the cyclist's average speed in mph.
Answer:
15 mph
Step-by-step explanation
i used a calculator but correct me if im wrong pls
EXPAND AND SIMPLIFY
Answer:
5⁴a²
Step-by-step explanation:
(5³a³)÷5a-¹×5-²a²
5³a³÷5a-¹×5-²a²
5³a³÷5¹-²×a-¹+²
5³a³÷5-¹a
5³a³/5-¹a
5³-(-¹)a³-¹
5⁴a²
Which region represents the solution to the given system of inequalities?
Answer:
The intersection region shown in the graph attached is the solution of the system of inequalities
The quotient of 36 and 9 multiplied by 7
Answer:
6
Step-by-step explanation:
6*9 = 54
6*6 = 36
6*7 = 42
NEED HELP ASAP!!! Giving brainliest!!!!!!!
C.(f-g)(x) = 4x^3 +5x²-7x-1
Step-by-step explanation:
Given information :
[tex]f(x) = 4 {x}^{3} + 5 {x}^{2} - 3x - 6 \\ g(x) = 4x - 5[/tex]
Find :
[tex](f - g)(x) = \\ (4 {x}^{3} + 5 {x}^{2} - 3x - 6) \\ - 4x -5[/tex]
Open bracket and Simplify
[tex]4 {x}^{3} + 5 {x}^{2} - 3x - 6 - 4x + 5 \\ 4 {x}^{3} + 5 {x}^{2} - 7x - 1[/tex]
3. What shape is a prism?
Answer:rectangular
Step-by-step explanation:
Answer:
TRIANGULAR
Step-by-step explanation:
A prism is a triangular-shaped piece of glass. The white light that reaches the prism contains all of the colors of the visible spectrum even though you can’t see them. As the white light passes through the edge or boundary of the prism, the light waves refract. Each of the different wavelengths contained in the white light refracts differently and results in a different color. The white light is broken up by the prism into all the colors of rainbow. The longest wavelength bends (refracts) the least and is red. The shortest wavelength bends the most and is violet.
A park, in the shape of a quadrilateral ABCD has angle B=900 , AB=9m, BC=40m, CD=15m, DA=28m. How much area does it occupy?
Given:
In quadrilateral ABCD, angle B=90° , AB=9m, BC=40m, CD=15m, DA=28m.
To find:
The area of the quadrilateral ABCD.
Solution:
In quadrilateral ABCD, draw a diagonal AC.
Using Pythagoras theorem in triangle ABC, we get
[tex]AC^2=AB^2+BC^2[/tex]
[tex]AC^2=9^2+40^2[/tex]
[tex]AC^2=81+1600[/tex]
[tex]AC^2=1681[/tex]
Taking square root on both sides, we get
[tex]AC=\sqrt{1681}[/tex]
[tex]AC=41[/tex]
Area of the triangle ABC is:
[tex]A_1=\dfrac{1}{2}\times base\times height[/tex]
[tex]A_1=\dfrac{1}{2}\times BC\times AB[/tex]
[tex]A_1=\dfrac{1}{2}\times 40\times 9[/tex]
[tex]A_1=180[/tex]
So, the area of the triangle ABC is 180 square m.
According to the Heron's formula, the area of a triangle is
[tex]Area=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where,
[tex]s=\dfrac{a+b+c}{2}[/tex]
In triangle ACD,
[tex]s=\dfrac{28+15+41}{2}[/tex]
[tex]s=\dfrac{84}{2}[/tex]
[tex]s=42[/tex]
Using Heron's formula, the area of the triangle ACD, we get
[tex]A_2=\sqrt{42(42-28)(42-15)(42-41)}[/tex]
[tex]A_2=\sqrt{42(14)(27)(1)}[/tex]
[tex]A_2=\sqrt{15876}[/tex]
[tex]A_2=126[/tex]
Now, the area of the quadrilateral is the sum of area of the triangle ABC and triangle ACD.
[tex]A=A_1+A_2[/tex]
[tex]A=180+126[/tex]
[tex]A=306[/tex]
Therefore, the area of the quadrilateral ABCD is 306 square meter.
What number is missing here?
2, 3, 5, 8, 13. ?
Answer:
2, 3, 5, 8, 13 missing number is 18.
After reading the directions to paint, on the paint drum, the information
indicated two coats of paint is required when using the 5 litre paint
and one coat with the 20 litre drum. With both paints 1 litre of paint
covers 9 m2
1.3.1 There are 28 rooms to be painted. Show with calculations which
will be the cheaper paint to buy.
(1
Step-by-step explanation:
jnx-avkj-uup p.l.z join
she sells 6adult tickets and 5 children tickets on the first day totaling $112.50 and on the second day she sells 8adult tickets and 4 childrens tickets totaling $130. write an equation for each day and use the elimination method
Answer:
Cost of adult ticket = $12.5
Cost of child ticket = $7.5
Step-by-step explanation:
Given:
Cost of 6 adult ticket and 5 child ticket = $112.5
Cost of 8 adult ticket and 4 child ticket = $130
Find:
Equation and solution
Computation:
Assume;
Cost of adult ticket = a
Cost of child ticket = b
So,
6a + 5b = 112.5....eq1
8a + 4b = 130 ......eq2
Eq2 x 1.25
10a + 5b = 162.5 .....eq3
eq3 - eq1
4a = 50
Cost of adult ticket = $12.5
8a + 4b = 130
8(12.5) + 4b = 130
Cost of child ticket = $7.5
Help please which option
Answer:
Step-by-step explanation:
-1<x<3. I hope it helpful!
Interpret the 95% confidence interval for average BMI. What do the lower and upper bounds of the confidence interval tell us?
Answer:
(26.2252 ; 27.3748)
Step-by-step explanation:
The confidence interval is given by :
x ± Margin of error
The margin of error = Zcritical * (σ/√(n))
σ = 7.5 ; n = 654
Zcritical = Zα/2 = 1.96
The margin of error = 1.96 * (7.5/√654) = 0.5748
The confidence interval :
Upper boundary = 26.8 + 0.5748 = 27.3748
Lower boundary = 26.8 - 0.5748 = 26.2252
(26.2252 ; 27.3748)
We are 95% confident that the mean BMI of the entire population will fall in between (26.2252 ; 27.3748)
When choosing a four-number PIN.
(personal identification number)
how many different PINS are possible?
(The choice of digits 0-9 are available for each number.)
Answer:
10,000 different PINS are possible
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
Four each digit on the PIN, there are 10 possible outcomes. The digits are independent. So, by the fundamental counting principle:
[tex]T = 10^4 = 10000[/tex]
10,000 different PINS are possible
The set (AB) (B-C) is equal to
Answer:
AB^2- AC.
Step-by-step explanation:
I'm not sure if this question is complete, but when two separate variables are placed in brackets side by side, then it means they need to be expanded.
Therefore, expanding the bracket gives us:
(AB) (B-C)=
AB^2- AC.
This is the answer, if the only task needed is to expand the brackets.
What is the y-intercept of a line that has a slope of 3 and passes through point (–1, –7)?
Answer:
the y intercept is -4 (as a point it is (0,-4))
Step-by-step explanation:
Hi there!
We are given a slope (m) of 3 and the point (-1,-7).
We need to find the y intercept of the line that has the slope of 3 and passes through (-1,-7)
One way to find the y intercept is to write the equation of the line in slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).
Since we are given the slope, we can immediately substitute it into the equation
Here it is so far:
y=3x+b
now we need to find b (the y intercept)
since the line passes through the point (-1,-7), we can use it to solve for b
substitute -1 as x and -7 as y into the equation
-7=3(-1)+b
multiply
-7=-3+b
add 3 to both sides
-4=b
so the y intercept is -4 . If you need it as a point, its (0,-4) as the y intercept is the point where the equation passes through the y axis, so the value of x is 0.
Hope this helps! :)
In a Louisiana chili cook-off, 18 of the 40 chilis included two types of beans.
A photo of multiple crock pots on a long table is shown. The caption says chili cook-off.
What percentage of the chilis did not include two types of beans?
Enter the correct answer in the box.
Answer:
55%
Step-by-step explanation:
18 out of 40 include chili.
So 22 has no chili
22/40 = 0.55 or 55%