Answer: 16^2 + 12^2
Step-by-step explanation:
20^2 = 400
16 x 16 = 256
12 x 12 = 144
256 + 144 = 400
Find the zeros of the quadratic function: y= 6(7x + 9)(8x - 3).
A) (-9/7,0), (3/8,0)
B)(-7/9,0), (8/3,0)
C) (-3/8,0), (°/7,0)
D) (-8/3,0), (7/9,0)
Answer:
A) (-9/7,0), (3/8,0)
Step-by-step explanation:
Zeros of a quadratic function:
x for which y = 0.
In this question:
[tex]y = 6(7x + 9)(8x - 3)[/tex]
It's 0 if one of the factors is 0. 6 is never 0, now about the other to:
[tex]7x + 9 = 0[/tex]
[tex]7x = -9[/tex]
[tex]x = -\frac{9}{7}[/tex]
So (-9/7, 0) is a zero of the quadratic function.
The other is:
[tex]8x - 3 = 0[/tex]
[tex]8x = 3[/tex]
[tex]x = \frac{3}{8}[/tex]
(3/8,0) is the other zero.
Thus, the correct answer is given by option A.
An infinite sheet of charge, oriented perpendicular to the x-axis, passes through x = 0. It has a surface charge density ?1 = -4.6 ?C/m2. A thick, infinite conducting slab, also oriented perpendicular to the x-axis occupiees the region between a = 2.8 cm and b = 4.5 cm. The conducting slab has a net charge per unit area of ?2 = 60 ?C/m2.
1) What is Ex(P), the value of the x-component of the electric field at point P, located a distance 6.3 cm from the infinite sheet of charge?N/C 2)
2) What is Ey(P), the value of the y-component of the electric field at point P, located a distance 6.3 cm from the infinite sheet of charge?N/C 3)
3) What is Ex(R), the value of the x-component of the electric field at point R, located a distance 1.4 cm from the infinite sheet of charge?N/C 4)
4) What is Ey(R), the value of the y-component of the electric field at point R, located a distance 1.4 cm from the infinite sheet of charge?N/C 5)
5) What is b, the charge per unit area on thesurface of the slab located at x = 4.9 cm??C/m2 6)
6) What is Ex, the value of the x-component of the electric field at a point on the x-axis located at x = 3.64 cm ?N/C 7)
7) What is ?a, the charge per unit area on the surface of the slab located at x = 2.8 cm??C/m2 8)
Jamie and Erika were in a race. Jamie could run 15 meters per second. Erika could only run 10 meters per second. So Jamie decided to give Erika a head start of 5 meters. After how many seconds will the two girls meet?
Answer: 1 s
Step-by-step explanation:
Given
Jamie speed is 15 m/s
Erika speed is 10 m/s
Erika has a 5 m head start
For Jamie to catch Erika, Jamie must travel 5 m + the distance traveled by Erika in the same time t
[tex]\therefore 15t=5+10t\\\Rightarrow15t-10t=5\\\Rightarrow 5t=5\\\Rightarrow t=1\ s[/tex]
After 1 s, Jamie and erika meet at the same point.
Answer: 1 s
Step-by-step explanation:
Given
Jamie speed is 15 m/s
Erika speed is 10 m/s
Erika has a 5 m head start
For Jamie to catch Erika, Jamie must travel 5 m + the distance traveled by Erika in the same time t
After 1 s, Jamie and erika meet at the same point.
Factor x^2 + 29x - 30. Type your answer in the space provided. Do not type spaces in your answer. Use only lowercase letters and include all necessary parentheses, variables and operation signs. For example, if the answer is (x +1)(x+2), type (x+1)(x+2).
Answer:
(x-1)(x+30)
..............
Suppose 2500 dollars is invested at 4% for 5 years. Find the account balance if it is
compounded daily, monthly, quarterly?
answer step by step
Answer:
Kindly check explanation
Step-by-step explanation:
Using the compound interest formula :
A = P(1 + r/n)^nt
A = final amount ; r = rate ; n = number of compounding times per period ; t = period ; P = principal
P = 2500 ; r = 4% = 0.04 ; t = 5 years
Daily compounding, n = 365
Yearly compounding, n = 1
Quarterly compounding, n = 4
Daily compounding :
A = 2500(1 + 0.04/365)^(5*365)
A = 2500(1.0001095)^1825
A = $3053.4734
Yearly :
A = 2500(1 + 0.04/1)^(5*1)
A = 2500(1.04)^5
A = $3041.6323
Quarterly:
A = 2500(1 + 0.04/4)^(5*4)
A = 2500(1.01)^20
A = $3050.4751
Please help image attached
Answer:
hope it helps mark as brainliest
Use y = mx + b to determine the equation of a line that passes through the point A(-1, 4) and is
parallel to the line:
4x – 2y + 8 = 0
Answer:
Step-by-step explanation:
If we are looking for a line parallel to the given line, we need to find the slope of the given line, since parallel lines have the exact same slope. That means that we need to solve this equation for y, which naturally puts the line into slope-intercept form. Solving for y:
-2y = -4x - 8 and
2y = 4x + 8 so
y = 2x + 4 and the slope, we see here, is 2. Use that slope and the given point of (-1, 4) to write the new equation we need.
In point-slope form, the line will be
y - 4 = 2(x - (-1)) which simplifies a bit to
y - 4 = 2(x + 1). That's point-slope form. Putting it into slope-intercept just requires that we solve this equation for y:
y - 4 = 2x + 2 and
y = 2x + 6. That's slope-intercept form of the same line. The last form is standard, which looks like this:
-2x + y = 6 or, if you don't like to lead with a negative,
2x - y = -6
Find the perimeter of this quarter circle with radius,
r
= 2mm.
Give your answer as an expression in terms of
π
.
Answer:
pi
Step-by-step explanation:
First find the circumference of the circle
C = 2 * pi*r
C = 2 * pi *2
C = 4pi
A quarter circle is 1/4 of a circle
1/4 C = 1/4 (4pi)
1/4C = pi
Which expression is equivalent to 5^6?
80ft
18ft
what is the length of the hypotenuse in feet?
Answer:
Solution given:
perpendicular [P]=80ft
base[B]=18ft
hypotenuse [H]=?
By using Pythagoras law
H²=P²+B²
H²=80²+18²
H=[tex]\sqrt{6724}=82[/tex]
the length of the hypotenuse in feet is 82ft.
a graph of a non-vertical straight line is a?
a) nonlinear function
b) exponential function graph
c) non-function
d) linear function
Answer:
The correct answer is d
Step-by-step explanation:
A graph of a non-vertical straight line is a linear function
Please help is for now 6
Answer:
-2g-11
Step-by-step explanation:
2(3g-4)-(8g+3)
6g-8-8g-3
-2g-11
please help. Thank you
Answer:
30.8 degrees
Step-by-step explanation:
cosx = [tex]\frac{8.5}{9.9}[/tex]
x= [tex]cos^{-1}[/tex][tex]\frac{8.5}{9.9}[/tex]
= 30.8 degrees (nearest tenth of a degree)
Can someone please help me with this I'm really stuck!!!
Answer:
we use side of triangle to find area and divide by 2 so first one is 15*15+ 8*15/2 225+60=285
What is the end behavior of (x, 1) and (5x, -3)?
Answer:
The leading term is 5x8. Since n is even and a is positive, the end behavior is down and up.
Janice wants to find the area of a square tabletop. She uses the formula for the area of a square: A=8x2 where 8 is the length of one side of the square .if 8=3 feet what is the area of the tabletop?
Answer:
12
Step-by-step explanation:
because you replace 8 with 3
3. Use a table of values to solve f(x) = g(x), where f(x) = x2^ – 8x - 15 and g(x) = - 4x + 6. Show your table
and your work.
Answer:
Step-by-step explanation:
[tex]f(x) = g(x)\\\\x^2 - 8x -15 = -4x +6\\\\x^2 - 8x -15 +4x -6 = 0\\\\x^2 -4x -21 = 0\\\\x^2 -7x + 3x -21=0\\\\x(x-7)+3(x-7)=0\\\\(x+3)(x-7)=0\\\\x= -3, 7[/tex]
x = -3 , 7
Step-by-step explanation:f (x) = g(x)
x ² − 8x −15 = −4x + 6
x ² − 8x − 15 + 4x − 6 = 0
x ² −4x−21 = 0
x ² −7x + 3x −21 = 0
x ( x − 7 ) + 3( x − 7 ) = 0
( x + 3 ) ( x − 7 ) = 0
x = −3, 7
write all trigonometric values
Answer:
Step-by-step explanation:
[tex]\theta[/tex] 0° 30° 45° 60° 90°
[tex]Sin \theta[/tex] [tex]0[/tex] [tex]\frac{1}{2}[/tex] [tex]\frac{\sqrt{2}}{2}[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] [tex]1[/tex]
[tex]Cos \theta[/tex] [tex]1[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] [tex]\frac{\sqrt{2} }{2}[/tex] [tex]\frac{1}{2}[/tex] [tex]0[/tex]
[tex]Tan \theta[/tex] [tex]0[/tex] [tex]\frac{1}{\sqrt{3} }[/tex] [tex]1[/tex] [tex]\sqrt{3}[/tex] ∞
Answer:
Step-by-step explanation:
sin A=opposite/hypotenuse
cos A=adjacent/hypotenuse
tan A=opposite/adjacent
cosec A=hypotenuse/opposite
sec A=hypotenuse/adjacent
tan A=adjacent/hypotenuse
Hope this helps u!!
5690 as standard form
Answer:
It already is in standard form btw
Step-by-step explanation:
Answer:
5690 is standard form
five thousand six hundred ninety is word form
5000+600+90 is expanded form
hope this helps
have a good day :)
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Mira inserts a key into a keyhole to open the door. She turns the key through 156 one-degree angles.
What is the angle measure of the turn that the key made?
9514 1404 393
Answer:
156° or 13π/15 radians
Step-by-step explanation:
156 times 1° is 156°.
In radians, the angle measure is (156°)(π/180°) = 13π/15 radians.
how can i solve the following
4x-3=2x+7
Answer:
x = 5
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.
Add 3 and subtract 2x from both sides of the equation:
4x (-2x) - 3 (+3) = 2x (-2x) + 7 (+3)
4x - 2x = 7 + 3
2x = 10
Next, isolate the x by dividing 2 from both sides of the equation:
(2x)/2 = (10)/2
x = 10/2
x = 5
5 is your answer for x.
~
Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
Subtract 2x from each side
4x-2x-3=2x-2x+7
2x -3 = 7
Add 3 to each side
2x-3+3=7+3
2x = 10
Divide by 2
2x/2 =10/2
x = 5
Three people are sitting on a bus. Belle is seated 4 meters directly behind Diego and 3 meters directly left of Reba. How far is Diego from Reba?
II. We learned in Exercise 3.25 that about 70% of 18-20 year olds consumed alcoholic beverages in 2008. We now consider a random sample of fifty 18-20 year olds. (a) How many people would you expect to have consumed alcoholic beverages
Answer:
You would expect for 35 people to have consumed alcoholic beverages.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they consumed alcoholic beverages, or they did not. The probability of a person having consumed alcoholic beverage is independent of any other person. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
We learned in Exercise 3.25 that about 70% of 18-20 year olds consumed alcoholic beverages in 2008.
This means that [tex]p = 0.7[/tex]
We now consider a random sample of fifty 18-20 year olds.
This means that [tex]n = 50[/tex]
How many people would you expect to have consumed alcoholic beverages
[tex]E(X) = np = 50*0.7 = 35[/tex]
You would expect for 35 people to have consumed alcoholic beverages.
[tex]\int\limits^a_b {\frac{1}{xln(x)} } \, dx[/tex]
Step-by-step explanation:
Let u = ln x
du = dx/x
[tex]\int {\frac{1}{x \ln(x)} }\: dx = \int \frac{du}{u}[/tex]
[tex]= \ln |u| + k[/tex]
or
[tex]\int_b^a {\frac{1}{x \ln(x)} }\:dx= \ln |\ln|x|| _b^a[/tex]
[tex]=\ln|\ln(a)| - \ln|\ln(b)|[/tex]
Solve the inequality -3x+1 <7?
x > -2
x < -2
x > 2
Pls help meeeee
Answer:
x<-2 ^;;:%%^^^::"%%^::::%^&&;::%^^^;::^^^&;;:%^_
this please help me
9514 1404 393
Answer:
y = 2·3^x
Step-by-step explanation:
The shape of the graph appears exponential. The horizontal asymptote appears to be y=0, so there is no vertical offset. The y-intercept seems to be 2 (we can't really read the numbers), and the y-value seems to increase by a factor of 3 for each additional unit of x.
The multiplier is 2, and the base of the exponential factor is 3. That gives us ...
y = 2(3^x)
URGENT.. pls help NO links
Answer:
.83
Step-by-step explanation:
we want
(sports∩Senior)/Senior
we can see that sports∩senior= 25
and senior= 25+5+5=30
25/30= .83
If mAB = 30° and mCD = 110°, find mLE.
D
110°
А
30°
E
с
B
O 15°
O 30°
O 40°
O 70°
Answer:
40
Step-by-step explanation:
Use the Outside Angles Theorem,
[tex] \frac{110 - 30}{2} = 40[/tex]
FIND THE LENGTH of X triangle (Look at picture easy and brainlest)
Answer:
resizing by the factor of 5/7
x = 3.5 * 5/7
= 17.5/7
= 2.5
side lengths and angle measures in similar figures
Step-by-step explanation:
You can see the full detailed explanation in the attached files