Answer:
I believe this would be the answer?
Step-by-step explanation:
{2, 3, 4, 6, 8, 9, 10, 12}
Can any one help me with all these 3 questions? Thank you if you helped :)
Answer: Answer already been answered credits to that person give that person brainliest
Step-by-step explanation:
Completing the Square
Guided Practice
Solve the equation by completing the square. If necessary, round to the nearest hundredth.
2x2 - 10x - 20 = 8
A. 27 - 27
B. 7
C.7, -2
Answer:
C.7, -2
Step-by-step explanation:
A quadratic equation is a polynomial of degree two. A quadratic equation is in the form:
ax² + bx + c = 0; where a, b, c are constants.
Quadratic equation can be solved using different methods, such as completing the square method, quadratic formula.
Solving the equation 2x² - 10x - 20 = 8 using completing the square:
2x² - 10x - 20 = 8
2x² - 10x = 28
Divide through by 2, to make the coefficient of x² to be 1:
x² - 5x = 14
Add to both sides, the square of half of the coefficient of x [i.e. (-5/2)² = 6.25]
x² - 5x + 6.25 = 14 + 6.25
(x - 2.5)² = 20.25
taking square root of both sides:
x - 2.5 = √20.25
x - 2.5 = ±4.5
x = 2.5 ± 4.5
x = 2.5 + 4.5; or x = 2.5 - 4.5
x = 7 or x = -2
The third National Health and Nutrition Examination Survey collected body fat percentage (BF%) and gender data from 13,601 subjects ages 20 to 80. The average BF% for the 6,580 men in the sample was 23.9, and this value was 35.0 for the 7,021 women. The standard error for the difference between the average men and women BF%s was 0.114. Do these data provide convincing evidence that men and women have different average BF%s. You may assume that the distribution of the point estimate is nearly norma
Answer:
Yes, the data provides convincing evidence that men and women have different average BF%s
Step-by-step explanation:
The given parameters are;
The number of the subjects ages 20 to 80 = 13,601
The body fat percentage, BF%, for the 6,580 men, [tex]\overline x_1[/tex] = 23.9
The body fat percentage, BF%, for the 7,021 women, [tex]\overline x_2[/tex] = 35.0
The standard error for the difference between the average men and women = 0.144
The null hypothesis, H₀; [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ; [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
The test statistic = (35.0 - 23.9)/(0.114) = 97.368
Therefore, given that the z-test is larger than the critical-z, we reject the null hypothesis, H₀, therefore, there is convincing statistical evidence to suggest that men and women have different body average BF%
What is the area of this figure
Answer:
247 yd²
Step-by-step explanation:
this figure can be "split" into 3 sub-figures.
2 rectangles and one triangle "at the top".
these 3 areas can be easily calculated, and the we simply sum them all up, and that is the total area.
my approach is to pick the first rectangle to be the one extruding one to the right.
R1 = 11×5 = 55 yd²
the second rectangle is then the rest of the"straight" area up to the beginning of the triangle top
R2 = 8 × (13+5) = 8×18 = 144 yd²
and the area of a triangle is
baseline × height / 2
we can clearly see in our example, it is a right-angled triangle, so the left side is also the height, which is the remainder of the long side of the original figure, when we deduct all the other parts we used for the rectangles.
so, we have
T = 8 × (30 - 5 - 13) / 2 = 8×12/2 = 8×6 = 48 yd²
so, in total we have
F = 55 + 144 + 48 = 247 yd²
What is the measure of angle R?
O 37°
O 53°
O 90°
O 97°
HELP PLEASE
The measure of the angle ∠R in the right-angle triangle will be 37°. Then the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
We know that the radius of the circle and the tangent line of the circle will intersect at the right angle which is 90°.
And the angles of the triangle will be supplementary angles. Then the equation is given as,
∠P + ∠Q + ∠R = 180°
53 + 90° + ∠R = 180°
∠R = 37°
The measure of the angle ∠R in the right-angle triangle will be 37°. Then the correct option is A.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ7
18. Ingrid usually runs 12 miles in 2 hours. If she
only has 40 minutes to run today, how many
miles can she run going at the same rate?
A. 2.4 miles
B. 3 miles
4 miles
2
D. 6-miles
Answer:
4 miles
Step-by-step explanation:
120min/12miles
10min/1mile
40min/4miles
The number of miles can she run, going at the same rate will be 4 miles. Then the correct option is C.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Ingrid usually runs 12 miles in 2 hours.
2 hours = 120 minutes
Then the speed will be
Speed = 12 / 120
Speed = 0.1 miles per minutes
If she only has 40 minutes to run today.
Then the number of miles can she run, going at the same rate will be
Distance = 0.1 x 40
Distance = 4 miles
Then the correct option is C.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ2
need help asap plsss!!
Step-by-step explanation:
13x - 12 = 7x - 6( remaining side of the similar triangle is equal).
an apple farm costs $5 to get in and $0.75 per pound of apples, what is the y intercept? (Number answer only, no symbols)
Answer:
(0, 5).
Step-by-step explanation:
$5 is the base fee, so when x = 0, y = 5. 0.75 won't come into play yet.
(x+4y)^(6)
Can Someone please me how to do this PLEASE!
A wind turbine has three equally spaced blades that are each 131 feet long
What is the distance y from the tip of one blade to the tip of another blade? Round your answer to the nearest tenth. Show work
Answer:
Step-by-step explanation:
Picture this circumstance occurring within a circle. The center of the circle is where all the blades meet. That means that in terms of a circle's parts, these blades are the radii of the circle. And if they are all evenly spaced out, and there are 3 of them, the central angle in between each pair is 120 degrees (360/3). Once we know that, we can use the arc length formula for a circle which is
[tex]AL=\frac{\theta}{360}*2\pi r[/tex] and filling in:
[tex]AL=\frac{120}{360}*2(3.1415)(131)[/tex] so
AL = 274.4 feet
I need help very badly. thanks
Answer:
Step-by-step explanation:
area of a triangle is 1/2* base * height
1/2* 2.6* 3 is the area of the end of the object , now just multiply by it's length
9*( 1/2* 2.6* 3 )
this looks like choice 3 of the choices
The side of a rectangle legnth x+2 and width x-5. WHich equation describes the area A of the rectangle in terms of x?
Answer:
[tex] {x}^{2} - 3x - 10[/tex]
Step-by-step explanation:
Area= length× width
[tex](x + 2)(x - 5) \\ {x}^{2} + 2x - 5x - 10 \\ {x}^{2} - 3x - 10[/tex]
a) On the grid draw lines to show
the region satisfied by the three
inequalities
y = x + 1
Inequalities are used to represent unequal expressions
How to determine the grid linesThe inequality is given as;
[tex]y \ge x + 1[/tex]
The above inequality means that the upper part of the graph is shaded, and the line of the graph is a closed line
See attachment for the grid that represents the inequality [tex]y \ge x + 1[/tex]
Read more about inequality at:
https://brainly.com/question/25275758
If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be
7
18
11
0
Answer:
please mark me brainlist
Step-by-step explanation:
PLEASE ANSWER!! I don’t understand
Answer:
[tex]m\angle 2=122^{\circ},\\m\angle 1 = 58^{\circ}[/tex]
Step-by-step explanation:
By definition, tangent lines touch a circle at one point. This one point intersects the circle at a 90 degree angle.
In any circle, the measure of an inscribed angle is exactly half of the arc it forms. Since [tex]\angle 2[/tex] forms an arc labelled 244 degrees, the measure of angle 2 must be [tex]\frac{244}{2}=\boxed{122^{\circ}}[/tex].
Angle 1 and 2 form one side of a line. Since there are 180 degrees on each side of the line, we have:
[tex]\angle 1+\angle 2=180,\\\angle 1 + 122=180,\\\angle 1=180-122=\boxed{58^{\circ}}[/tex]
what is the equation of the line shown?
Answer:
y=1/2x+1/2
Step-by-step explanation:
the line intercepts at (0,0.5) which makes the y-intercept 1/2 and if you look at the slope, it increases 1 unit up and 2 units to the right so the slope is also 1/2
The equation of line is y= 1/2x+ 1/2.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Take points from the graph as (-1, 0) and (3, 2).
So, slope of line = (2 - 0)/ (3 -(-1))
= 2/4
= 1/2
Now, slope- intercept form
y- 0 = 1/2 ( x-(-1))
y= 1/2x + 1/2
Hence, the equation of line is y= 1/2x+ 1/2
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
write the equation of the line in fully simplified slope intercept form
Answer:
y = 2/3x - 6
Step-by-step explanation:
The line goes down 2 and 3 left. The line crosses the y-intercept at -6.
We can use SOH-CAH-TOA for
A. Any triangle ever
B. Non-right triangle only
C. right triangle only
D. Never
Answer:
C. right triangle only
Step-by-step explanation:
Other triangles use other laws such as law of cosines or sines to solve them. Right triangles exclusively use SOH-CAH-TOA because side opposite to 90 degree is always hypotenuse.
What is an equation of the line that is parallel to y = 3x - 8 and passes
through the point (4,-5)?
Answer:
[tex]y=3x-17[/tex]
Step-by-step explanation:
Parallel equations always share a slope.
So since we know the slope and a point the equation needs to pass through we can plug in the values and replace -8 with [tex]b[/tex]
[tex]-5=3(4)+b[/tex]
simplify both sides
[tex]-5=12+b[/tex]
isolate the variable
[tex]-17=b[/tex]
plug [tex]b[/tex] back into the equation and you get
[tex]y=3x-17[/tex]
Answer:
y = 3 x + 11
Explanation:
Parallel lines have the same slopes.
The slope of the new line will have the same slope as the given line:
y = 3 x − 4
⇒ m = 3
One point on the line is given,
( − 2 5 ) .
This is ( x 1 y 1 )
The formula for slope is
m = ( change in y values/ change in x-values ) = y 2 − y 1/ x 2 − x 1
If you have the slope and one point , substitute them into a formula which is based on the formula for slope given above.
y − y 1 = m ( x − x 1 )
y − 5 = 3 ( x − ( − 2 ) )
y − 5 = 3 ( x + 2 )
Simplify to get the required equation of the line.
y = 3 x + 6 + 5
y = 3 x + 11
Step-by-step explanation:
Determine the period
Answer:
It's 10, on acellus :)
Step-by-step explanation:
Find the area of the triangle with vertices A(-3,2), B(1,-2), and c(1,3)
Answer:
[tex]A(-3,2)\: B(-1,-2)\: C(1,3)[/tex]
[tex]A=1/2[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]
[tex]=1/2[-3(-2-3)(+1(3-2)+1(2-(-2))][/tex]
[tex]=1/2(15+1+4)[/tex]
[tex]=1/2(20)[/tex]
[tex]=10[/tex]
[tex]ANSWER: 10 ~units^{2}[/tex]
------------------------------
hope it helps...
have a great day!!
The area of triangle with vertices A(-3,2), B(1,-2), and c(1,3) is 12 units^2.
What is area of triangle?The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
The green line represents the height of the triangle = 4 units
The red line represents the base of the triangle = 6 units
Area of the triangle = 1/2 x 6 x 4 = 12 units^2
Learn more about area of triangle here
https://brainly.com/question/19305981
#SPJ2
what is the point-slope equation of the line with slope -12 that goes through the point (5,3)
Answer:
the correct answer is c
Step-by-step explanation:
because we use formule when we write a equation
Let A = {a, b, c}, B = {b, c, d}, and C = {b, c, e}. (a) Find A ∪ (B ∩ C), (A ∪ B) ∩ C, and (A ∪ B) ∩ (A ∪ C). (Enter your answer in set-roster notation.)
Answer:
(B n C) = {b,c}
A = {a,b,c}
B= {b,c,d}
C= {b,c,e}
A u (B n C) = {a,b,c}
(A u B) = {a,b,c,d}
(A u B) n C = {b,c}
(A u C) = {a,b,c,e}
(A u B) n (A u C) = {a,b,c}
For each function below, identify and enter the percent rate of change per unit, t. Round to the nearest tenth of a percent.
Then use the drop-down menus to classify each as exponential growth or decay
The percentage rate of change of the given functions is given by the
derivative of their natural logarithm.
Responses:
[tex]f(t) = 1.18^t[/tex]
16.6%, exponential growth[tex]g(t) = 2^{-2 \cdot t}[/tex]
-138.6%, exponential decay[tex]h(t) = 1.19^{\frac{t}{10} }[/tex]
1.7%, exponential growth[tex]k(t) = 0.13^t[/tex]
-204%, exponential decayWhich method is used to determine the percentage rate of change?The percentage rate of change can be presented as follows;
[tex]Percentage \ rate \ of \ change = \mathbf{100 \times \dfrac{d}{dt} ln \left(f(t)\right)}[/tex]
[tex]f(t) = \mathbf{ 1.18^t} \ gives;[/tex]
[tex]100 \times \dfrac{d}{dt} \left( ln \left(1.18^t\right) \right) = \mathbf{ 100 \times ln(1.18)} \approx \underline{16.6\%}[/tex], exponential growth[tex]g(t) = \mathbf{2^{-2 \cdot t} }\ gives;[/tex]
[tex]100 \times \dfrac{d}{dt} \left( ln \left(2^{-2 \cdot t}\right) \right) = \mathbf{ 100 \times -2 \times ln(2)} \approx \underline{ -138.6 \%}[/tex] , exponential decay
[tex]h(t) = \mathbf{1.19^{\frac{t}{10} } }\ gives;[/tex]
[tex]100 \times \dfrac{d}{dt} \left( ln \left(1.19^{\frac{t}{10} }\right) \right) = \mathbf{ 100 \times \dfrac{10 \cdot ln(1.19)}{100}} \approx 1.7 \%[/tex], exponential growth
[tex]k(t) = \mathbf{ 0.13^t} \ gives;[/tex]
[tex]100 \times \dfrac{d}{dt} \left( ln \left(0.13^t }\right) \right) = \mathbf{100 \times ln(0.13)}\approx -204 \%[/tex], exponential decay
Learn more about exponential functions here:
https://brainly.com/question/14325265
plz help
answer fast
irrelevant answers will be reported
Answer:
[tex]1+\sqrt{2}\\[/tex], [tex]1.5-\sqrt{2}[/tex], [tex]\sqrt{2} -1[/tex], [tex]\sqrt{2}-1 , 0.15+\pi /1000 , \sqrt{2} +0.001[/tex][tex]2.357+\pi /1000000[/tex][tex]0.0001+\pi /10000000[/tex] and I think you got it, just add to the smaller one [tex]\pi /10000000000000\\[/tex]
Step-by-step explanation:
not much to explain, it ןs irrational because [tex]\sqrt{2} and \pi[/tex] arent rattional.
i need help choosing which multiple choice the answer would be ?
What is one way the Federal Reserve can reduce the amount of money available in the economy?
A. Raising the discount rate
B. Selling treasury securities
C. Buying treasury securities
D. Lowering the interest on reserves
Answer:
B. Selling treasury securities
Step-by-step explanation:
I'm taking the quiz
The Federal Reserve can reduce the amount of money available in the economy is buying treasury securities.
What is a federal reserve?The Federal Reserve can decrease the money supply by increasing the discount rate. a. Raising the discount rate provides depository institutions a minor incentive to borrow, thereby decreasing their reserves and lending activity. The U.S. government created the Federal Reserve, the nation's central bank, to control the money supply and contain economic calamities.One of the primary objectives of the Federal Reserve exists to function as the lender of last resort, permitting banks to borrow from the central bank when needed.The Fed operates three immediate tools in handling the money supply and observing stable economic growth. The tools exist (1) reserve needs, (2) the discount rate, and (3) open market operations.Each of these controls the money supply in different forms and can be utilized to obtain or develop the economy.The Federal Reserve can decrease the amount of money general in the economy stands buying treasury securities.Therefore, the correct answer exists as option B. Selling treasury securities.
To learn more about Federal Reserve refer to:
https://brainly.com/question/382312
#SPJ2
Which graph represents a function?
Answer:
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.List a function that's it's own inverse
==========================================================
Explanation:
If g(x) is the inverse of f(x), and vice versa, then we have these two properties:
f(g(x)) = xg(f(x)) = xSince we want to find a function that is its own inverse, we want f(x) and g(x) to be the same function.
Through trial and error, you should find that f(x) = g(x) = x fit the description.
f(x) = x
f( g(x) ) = g(x) ... replace every x with g(x)
f( g(x) ) = x
You should find that g(f(x)) = x as well.
One possible answer is f(x) = x
---------------------------
Through more trial and error, you should find that f(x) = g(x) = 1/x works as well. In fact, anything of the form f(x) = g(x) = k/x will work.
The proof can be written as follows
f(x) = k/x
f( g(x) ) = k/( g(x) )
f( g(x) ) = k/( k/x )
f( g(x) ) = (k/1) divide (k/x)
f( g(x) ) = (k/1) * (x/k)
f( g(x) ) = x
Through similar steps, you should find that g(f(x)) = x is the case also.
This proves that f(x) = k/x is its own inverse, where k is a real number constant.
Another possible answer is anything of the form f(x) = k/x
If we pick k = 3, then we get f(x) = 3/x which is the answer I wrote above.
You can pick any k value you want.
---------------------------
There may be other types of functions that have this property, but I'm blanking on what they might be.
BRAINLIEST FOR ANSWER WITH EXPLANATION
JUST ONE QUESTION ATTACHED BELOW:
Answer:
m=16
Step-by-step explanation:
(6+6)/m=6/8
12/m=6/8
M=16
Answer:
16
Step-by-step explanation:
This triangle has been dialated; ILM is a dialated version of IJK. We know that dialations are by scale factors, and we also know the length of two corresponding sides.
IM is 6 m long, and IMK is 6+6 m long, so 12 m. So using simple ratios, we know the dialation factor from ILM to IJK is 2. The corresponding side for JK (m) is LM, which we know is 8 m. So side m is 16 because of the scale factor (2).
Maybe you thought we were solving for "m", as in a varriable all the sides are multiplied by, but I think that's just bad labeling. Hope this helps!