Answer:
In 256 ways
Step-by-step explanation:
The number of answer choices will be; 4 * 3 = 12 answer choices
Okay, so per question we have 4 choices
The number of ways we can answer the first question is 4 ways since there are 4 choices
For the second question, 4 ways also
For the third 4 ways
And for the last question, four ways too
So the number of ways to correctly answer the question will be ;
4 * 4 * 4 * 4 = 256 ways
simplify
[tex](xy) ^{ - 1} [/tex]
Answer:
Below
Step-by-step explanation:
●(xy)^(-1)
● x^(-1) * y^(-1)
● (1/x)*(1/y)
● 1/xy
What else would need to be congruent to show that ABC= ADEF by SAS?
A. ZCE ZF
B. BC = EF
O C. ZA= ZD
D. AC = DF
Answer:
The correct option is;
c. ∠A ≅ ∠D
Step-by-step explanation:
The given information are;
[tex]\overline{AB}\cong \overline{DE}[/tex]
[tex]\overline{AC}\cong \overline{DF}[/tex]
Therefore, for Side Angle Side, SAS, condition of congruency, we have;
The included angle should be congruent that is ∠C ≅ ∠D
Two triangles, triangle ABC and triangle XYZ for example, having two adjacent sides, AB and AC in triangle ABC and XY and XZ in triangle XYZ of corresponding length such that AB ≅ XY and AC ≅ XZ and also having congruent included angles between the two sides (∠A ≅ ∠X), the two triangles are said to be congruent.
For triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D
What is the SAS Congruence Theorem?SAS means, side-angle-side congruence theorem, which states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent angles that are included angles (in between the two congruent sides).
Therefore, for triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D
Learn more about SAS congruence theorem on:
https://brainly.com/question/14252518
25 POINTS AND BRAINLIEST FOR THESE!
Answer:
Step-by-step explanation:
Hello,
For any function f which has an inverse function we can write
[tex]x=(f^{-1}of)(x)=(fof^{-1})(x)=f(f^{-1}(x))[/tex]
This is why, in practice, to find the inverse of f we will consider f(x) = y and we will look for x as a function of y, so we switch x and y and solve for y. Let's do it.
Step 1 - The function f(x) can be written as a variable. [tex]\boxed{y}=f(x)[/tex]
f(x) = y = 5x + 2
Step 2 - switch the variables x <-> y
x = 5y + 2
subtract 2 to both parts of the equation
<=> x - 2 = 5y + 2 - 2 = 5y
divide by 5 both parts of the equation
[tex]<=> y=\dfrac{x-2}{5}[/tex]
It means that the inverse of f is as below.
[tex]\boxed{ \ f^{-1}(x)=\dfrac{x-2}{5}\ }[/tex]
Step 3 - Find the inverse of g(x)
We already found that the inverse of f is g, so the inverse of g is f.
Let's do it again.
[tex]g(x)=y=\dfrac{x-2}{5} \ \ \text{ switch x and y } \\ \\ x= \dfrac{y-2}{5} \ \ \text{ solve for y }\\ \\ y-2=5x \ \ \text{ mulitply by 5 both parts of the equation } \\ \\ y = 5x+2 \ \ \text{ add 2 to both parts of the equation }[/tex]
And we found what we already known, meaning f is the inverse of g.
[tex](gof)(x)=(fog)(x)=x[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answers and Step-by-step explanation:
Step 1:
We want to find the variable that ff(x) represents. Well, we know it can't be x because we already have x on the other side of the equation: ff(x) = 5x + 2.
So, ff(x) must equal y.
Since ff(x) = y, we know then that ff(x) = y = 5x + 2. And our equation is:
y = 5x + 2
Step 2:
Let's switch the variables now. This means that what used to be y will be x and what used to be x will be y:
y = 5x + 2 ⇒ x = 5y + 2
Subtract 2 from both sides:
5y = x - 2
Divide by 5 from both sides:
y = (x - 2)/5
Step 3:
Let's find the inverse of g(x) by doing the exact same thing as we did with ff(x):
g(x) = y = (x - 2)/5
Switch the variables:
y = (x - 2)/5 ⇒ x = (y - 2)/5
Multiply by 5 on both sides:
5x = y - 2
Add 2 to both sides:
y = 5x + 2
Notice that this is the exact same as ff(x)! This means that ff(x) and g(x) are inverses.
8. The world's tallest
totem pole is in Alert
Bay, B.C., home of the
Nimpkish First Nation.
Twenty feet from the
base of the totem pole,
the angle of elevation
of the top of the pole
is 83.4º. How tall is
the totem pole to the
nearest foot?
Answer:
The height of the totem tree is approximately 172.8ft
Step-by-step explanation:
Hello,
To find the height of the totem pole, we need to use our date to make a pictorial representation so that we can know if the pole and base makes a right angle triangle with the angle of elevation.
See attached document for better illustration.
Let T represent the height of the pole.
Using trigonometric ratio,
SOHCAHTOA, we can use tangent since we have our adjacent and we're to solve for the opposite.
Tanθ = opposite/ adjacent
Opposite = T
Adjacent = 20ft
θ = 83.4°
Tan83.4 = T / 20
T = 20Tan83.4
T = 20 × 8.64
T = 172.8ft
The height of the totem tree is approximately 172.8ft
Convert the following to Slope-Intercept Form: 4x – 3y = 24.
The equation 4x – 3y = 24 can be represented in the slope-intercept form will be y = (4/3)x - 8.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
4x – 3y = 24
Convert the equation from standard form to slope-intercept form. Then we have
4x – 3y = 24
3y = 4x - 24
y = (4/3)x - 24 / 3
y = (4/3)x - 8
The equation 4x – 3y = 24 can be represented in the slope-intercept form will be y = (4/3)x - 8.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
I) Construct a triangle PQR such that |PQ|=8cm,{RPQ=90°{PQR=30°.Measure |RQ|
Answer:
6.93 cm
Step-by-step explanation:
You have a right triangle (90°), so you do as follow:
If I understand correctly, you are looking for the hypotenuse so
[tex]cos(30) = \frac{PQ}{QR} = \frac{8 cm}{QR}[/tex]
That is equal to [tex]QR = cos(30)*8 cm = 6.928 cm[/tex]
Find the area of this shape.
4 cm
2 cm
4 cm
4 cm
-
1
5.75 cm
1
1
The area of the shape is __
square centimeters.
Answer:
shape AREA= 35cm^2
Step-by-step explanation:
you should know that this shape is a combination of triangle and trapezoid. therefore you have to find the area of each shape and add them.
A=h/2(b1 + b2) for trapezoid
A=2/2((4+4)+4)
A=1*12
A=12cm^2
A=bh/2. for TRIANGLE
A=1/2((4+4)*5.75)
A=1/2(46)
A=23cm^2
shape AREA= triangle AREA + trapezoid AREA
shape AREA=12cm^2 + 23cm^2
shape AREA= 35cm^2
if you horizontally strech the quadratic parent function, f(x)=x^2, by a factor of 4, what is the equation of the new function?
Answer:
g(x) = x^2/16
Step-by-step explanation:
To stretch a function horizontally by a factor of k, replace x with x/k.
You want a stretch factor of 4, so your function is ...
g(x) = f(x/4) = (x/4)^2
g(x) = x^2/16
__
The attached graph shows the horizontal stretch.
what is 3x^3 - 11x^2 - 26x + 30 divided by x-5?
Answer:
Most likely the answer is
3x^2+4x-6
Answer:
3x^2+4x-6 is correct
Which expression is equivalent to 17s-10+3(25+1)?
23s-9
23s-7
115-7
115-9
Answer:
17s + 68.
Step-by-step explanation:
17s - 10 + 3(25 + 1)
= 17s - 10 + 3 * 26
= 17s - 10 + 78
= 17s + 68.
Hope this helps!
Answer:
its b 23s - 7
Step-by-step explanation:
took the test
In ABC, BC = a = 16, AC = b = 10, and m<C = 22º. Which equation can you use to find the value of c = AB?
Answer:
10 times 16 = C
Step-by-step explanation:
c2 = a2 + b2 − 2ab cos C = 162 + 102 − 2(10)(16) cos 22°
HELPPPP I need help finding x a and b pleaseeee
Answer:
5x-18 this angle is equal to 92
3x+22 this angle is equal to 88
angle a=88
angle b=92
Step-by-step explanation:
set 5x-18 and 3x+22 equal to 180 and solve to get x=22. Now look for ways to fill in a and b. A is an alternate interior angle that will be equal to 3x+22
angle b will be equal to the angle 5x-18
Answer:
The value of x is22°, a is 88° and b is 92°.
Hope it helps..
Calculate the perimeter of this trapezoid
Answer:
31 cm
Step-by-step explanation:
The perimeter is the sum of the sides so the answer is 8 + 10.5 + 9 + 3.5 = 31 cm.
Social Networking Sites
In a survey of 2255 randomly selected US adults (age 18 or older), 1787 of them use the Internet regularly. Of the Internet users, 1054 use a social networking site.7 Find and interpret a 95% confidence interval for each of the following proportions:________
(a) Proportion of US adults who use the Internet regularly.
(b) Proportion of US adult Internet users who use a social networking site.
(c) Proportion of all US adults who use a social networking site. Use the confidence interval to estimate whether it is plausible that 50% of all US adults use a social networking site.
Answer:
(a). ( 0.776 ,0.809).
(b). (0.567 , 0.613).
(c). 0.600.
Step-by-step explanation:
Okay, we are given the following set of values or data or parameters;
=> "A survey of 2255 randomly selected US adults (age 18 or older)"
=> "1787 of them use the Internet regularly. Of the Internet users, 1054 use a social networking site".
=> Also, "95% confidence interval for each of the following proportions"
Therefore, we are going to make use of one (major ) mathematical formula in solving this particular Question and it is given below;
Confidence Interval = p +/- z* × [ √p( 1 - p) / n].
(a).
Where p = 1787/2255 = 0.793.
95% confidence Interval = z* = 1.96.
= 0.793 +/- 1.96 × [√0.793 ( 1 - 0.793)/ 2255] .
= 0.793 +/- 0.0167.
= ( 0.776 ,0.809).
(b). Where p = 1054/ 1787 = 0.5900
95% confidence Interval = z* = 1.96.
= 0.5900 +/- 1.96 × [√0.5900 ( 1 - 0.5900)/ 1787]
= 0.5900 +/- 0.0228.
= (0.567 , 0.613).
(c). 1054/1787 = 0.59 = 0.600.
Answer:
your answer is the third one
Step-by-step explanation:
pls help me with this question
Answer:
32 cm
Step-by-step explanation:
The volume of the container is:
V= area of the base * the heigth
Since the container has a rectangular base the area of it is:
A = length * width
Let L be the missing length
A = L * 10
V = 10* 25 * L
The container can hold 8 Liters when it's completely full to its brim.
8 liters is 8000 cm^3 ( multiply by 1000)
8000 = 10*25*L
8000 = 250 *L
L = 8000/250
L = 32 cm
v=8litres which is 8 × 1000
l=?
b=10
h=25
since, v=lbh (volume of cuboid)
8000=l × 10 × 25
l=8000/250
l=32
therefore the length is 32cm
ASAP! Please help me!!!
Answer:
120 cm³Step-by-step explanation:
First we have to find out area of the base
[tex]s = \frac{a + b + c}{2} [/tex]
[tex] = \frac{5 + 12 + 13}{2} [/tex]
[tex] = \frac{30}{2} [/tex]
[tex] = 15[/tex]
Area of base = [tex] \sqrt{s(s - a)(s - b)(s - c)} [/tex]
[tex] = \sqrt{15(15 - 5)(15 - 12)(15 - 13)} [/tex]
[tex] = \sqrt{15 \times 10 \times 3 \times 2} [/tex]
[tex] = \sqrt{5 \times 3 \times 5 \times 2 \times 3 \times 2} [/tex]
[tex] = 2 \times 3 \times 5[/tex]
[tex] = 30 \: {cm}^{2} [/tex]
Now, let's find the volume of triangular pyramid
[tex] = \frac{1}{3} \times a \times h[/tex]
[tex] = \frac{1}{3} \times 30 \times 12[/tex]
[tex] = 120 \: [/tex] cm³
Hope this helps..
best regards!!
Jim and Krutika win some money and share it in the ratio 2:3. Jim gets £10. How much did Krutika get?
Answer:
£15
Step-by-step explanation:
The 2 part of the ratio represents the £10 that Jim gets.
Divide the amount by 2 to find the value of one part of the ratio.
£10 ÷ 2 = £5 ← value of 1 part of the ratio, thus
3 parts = 3 × £5 = £15 ← amount Krutika gets
Find the x-intercepts of the graph
Answer:
(1,0) and (3,0)
Step-by-step explanation:
y=x^2-4x+3
To factor we need to know what numbers add up to -4 and multiply will equal to 3.
y=(x-3)(x-1)
The zeroes would be 3 and 1.
x=3 so y=0 for (x-3)
x=1 so y=0 for (x-1)
If right pls give me brainliest thank you.
Answer:
(1, 0) and (3, 0)
Step-by-step explanation:
[tex]y=x^2-4x+3[/tex]
Plug y as 0 to find the x-intercepts.
[tex]0=x^2-4x+3[/tex]
Factor right side.
[tex]0=x^2-1x-3x+3[/tex]
[tex]0=x(x-1)-3(x-1)[/tex]
[tex]0=(x-1)(x-3)[/tex]
Set factors equal to 0.
[tex]x-1=0\\x=1\\x-3=0\\x=3[/tex]
x=1 or x=3 when y=0
Tanisha lives in an apartment and pays the following expenses each month: electric bill, $42.42; TV streaming services, $27.99; and rent, $587.70. Estimate her total expenses for the month by first rounding each value to the nearest tens place.
A) $670
B) $ 650
C) $659
D) $660
Answer:
It is C
Step-by-step explanation:
42.60=43.00
587.70=588.00
27.99=28.00
Which is not a property of a parallelogram? a: Diagonals are perpendicular. b: Opposite sides are congruent. c: Opposite angles are congruent. d: Opposite sides are parallel.
Answer:
A
Step-by-step explanation:
Diagonals are perpendicular.
This means that there have to be 90 degree angles in the parallelogram which is not true at all. They can be slanted as well!
Hope this helped :) good luck!
-3a(a^2-10a+25)= expand it and it has to be in polynomial form
Answer:
[tex] - 3 {a}^{3} + 30 {a}^{2} - 75a[/tex]Step-by-step explanation:
[tex] - 3a( {a}^{2} - 10a + 25)[/tex]
Multiply each term in the parentheses by -3a
[tex] = - 3a \times {a}^{2} - 3a \times ( - 10a) - 3a \times 25[/tex]
Calculate the product
[tex] = - 3 {a}^{3} - 3a \times ( - 10a) - 3a \times 25[/tex]
Multiplying two negatives equals a positive [tex]( - ) \times ( - ) \ = ( + )[/tex]
[tex] = - 3 {a}^{3} + 3a \times 10a - 3a \times 25[/tex]
Calculate the product
[tex] = - 3 {a}^{2} + 30 {a}^{2} - 75a[/tex]
Hope this helps...
Best regards!!
Bro did you go in the next grade?
Can someone help me solve this :): ?
( brainliest to the correct answer/explanation)
Answer:
1and1/2yrs ago
Step-by-step explanation:
price dis year= 56545
reduction per year= 11309
...number of years ago = 73810-56545=17265
and is about 20% of annual deductions
so if 56545 +20% + 1/2 20% = 1nd1/2 yrs
Need help!!! IF YOU KNOW HOW TO DO THIS GO AHEAD AND DO IT BUT IF YOU DONT THEN DONT BOTHER THANKS
1. Yes a circle is a two-dimensional figure. It lies in the plane, which is basically a flat piece of paper that doesn't bend or curve, and the paper extends infinitely in all directions.
2. A circle is not a polygon. A polygon has finitely many straight line segments that glue together to form an enclosed figure. Think of fencing in an area with straight fence portions.
3. Yes this is what makes a circle. Every point on the circle is the same distance from the center. We say these points on the circle are equidistant from the center.
Answer:
Is a circle a two d figure?
YES. It is a flat figure.
Is a circle a polygon?
NO, because it does not have 4 straight sides.
Is every point in a circle the same distance from the center?
YES. All points in a circle are equidistant from the center (they are all equal)
calculate EG if a=5 and b=15
V2=u2+2as v 2 = u 2 + 2 a s Where v v is the final velocity (in m/s), u u is the initial velocity (in m/s), a a is the acceleration (in m/s²) and s s is the distance (in meters). Find v v when u u is 9 m/s, a a is 7 m/s², and s s is 28 meters.
Answer:
Final velocity, v = 21.75 m/s
Step-by-step explanation:
Given that the relation between final velocity, initial velocity, acceleration and distance traveled is expressed as:
[tex]v^2=u^2+2as[/tex]
Also, given that:
Initial velocity, u = 9 m/s
Acceleration, a = 7 m/[tex]s^2[/tex]
Distance, s = 28 m
To find:
Final velocity, v = ?
Solution:
The given relation between v, u, a and s is:
[tex]v^2=u^2+2as[/tex]
We have the values of initial velocity, acceleration and distance traveled in the question statement. We just need to put all these values to find the value of final velocity.
Let us put all the values in the given equation and try to find final velocity, v:
[tex]v^2=9^2+2\times 7 \times 28\\\Rightarrow v^2=81+14 \times 28\\\Rightarrow v^2=81+392\\\Rightarrow v^2=473\\\Rightarrow v=\sqrt{473}\\\Rightarrow v=21.75\ m/s[/tex]
So, the answer is:
final velocity, v = 21.75 m/s
The area of a circle is increasing at a rate of 0.4 cm square per second. What is the rate of change of the circumference of the circle when its radius is 5cm?
Answer: 4π cm^2/minute
Step-by-step explanation:
Rate of change :
Change with respect to time (dr/dt)
dr/dt = 0.4cm^2/s
r = 5cm
The rate of change when the Radius is 5cm
Area / Circumference of a circle (A) = πr^2
From chain rule of differentiation:
dA/dt = (dr/dt) * (dA/dr)
If A = πr^2
dA/dr = 2πr
dA/dr = 2π * 5 = 10π
However,
dA/dt = (dr/dt) * (dA/dr)
dA/dt = (0.4) * (10π)
dA/dt = 4π cm^2/minute
Simplify the expression.
a4b3 + 8a4b3=???
PLEASE HELP??! ASAP!!?
Answer:
9[tex]a^{4}[/tex]b³
Step-by-step explanation:
The 2 terms are like terms and can be combined, that is
[tex]a^{4}[/tex]b³ ( 1 + 8)
= 9[tex]a^{4}[/tex]b³
Answer:
9a^4b^3
Step-by-step explanation:
a^4b^3 + 8a^4b^3
These are like terms so we can add them together
Factor out a^4b^3
a^4b^3( 1+8)
a^4b^3 (9)
9a^4b^3
plz plz, answer it hurry.
Answer:
c
Step-by-step explanation:
Answer:
I think it's b.
Step-by-step explanation:
Let's just say that in the first square, all sides equal 4. In this square, if you cut out a piece the perimeter will stay the same. Let's check:
First square: 4+4+4+4=16
Second square: 3+4+4+2+1+2=16
So yes, it's b.
Which value of m will create a system of parallel lines with no solution? y=mx-6 8x-4y=12 A coordinate grid with one line labeled 8 x minus 4 y equals 12. The line passes through a point at (0, negative 3), (1, negative 1) and a point at (1.5, 0). -2 - 2
Answer:
A system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2
Step-by-step explanation:
The equation of the given line is 8·x - 4·y = 12
Which gives;
8·x- 12= 4·y
y = 2·x - 3
Given that the line passes through the points (0, -3) and (1, -1), we have;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
When (x₁, y₁) = (0. -3) and (x₂, y₂) = (1, -1), we have;
[tex]Slope, \, m =\dfrac{(-1)-(-3)}{1-(0)} = 2[/tex]
y - (-3) = 2×(x - 0)
y = 2·x - 3 which is the equation of the given line
For the lines 8·x - 4·y = 12, which is the sane as y = 2·x - 3 and the line y = m·x - 6 to have no solution, the slope of the two lines should be equal that is m = 2
Given that the line passes through the point (1.5, 0), we have;
y - 0 = 2×(x - 1.5)
y = 2·x - 3...................(1)
For the equation, y = m·x - 6, when m = 2, we have;
y = 2·x - 6..................(2)
Solving equations (1) and (2) gives;
2·x - 3 = 2·x - 6, which gives;
2·x - 2·x= - 3 - 6
0 = 9
Therefore, a system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2.
Answer:
short answer is 2 or d
Step-by-step explanation:
If k is a negative even integer that is greater than -7.86 what is the least possible value of k step by step explanation
Answer: The least possible value of k is -6.
Step-by-step explanation:
Let 'k' be the negative even integer that is greater than -7.86 .
On number line, -7.86 lies between -7 and -8 such that
-7 > -7.86 > -8
So, -7 is the least integer that is greater than -7.86.
Since, -6 > -7 . That means -6 is the least negative even integer that is greater than -7.86 .
Hence, the least possible value of k is -6.