Answer:
They are some side interior angles. Angle A measures 55 degrees.
Step-by-step explanation:
Angle A is accuse so it can’t be 90 or more, so that narrows you’re options down by two. From there it’s fairly easy to distinguish.
Simplify: -8 +2 +3 (-7)
Answer:
-8/4-21x
Step-by-step explanation:
Distribute inside the parantheses
Divide -8 and 4
Add the two terms
Simplify
What is the quotient of the rational expression below?
Answer:
first answer
Step-by-step explanation:
Hello, you know that
[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\cdot \dfrac{d}{c}[/tex]
So, the quotient we need to estimate is
[tex]\begin{aligned}\dfrac{x^2-36}{x+8}\cdot\dfrac{4x+32}{x^2+12x+36}&=\dfrac{x^2-6^2}{x+8}\cdot \dfrac{4(x+8)}{(x+6)^2}\\\\&=\dfrac{4(x-6)(x+6)}{(x+6)^2}\\\\&=\dfrac{4(x-6)}{x+6}\end{aligned}[/tex]
Thank you
Negative of (-5) does not exist is true or false
Answer:
Negative of 5 exists
It continues in the left part of a number line...
Hence the answer is false it does exist
A work shift for an employee at a restaurant consist of 8 hours.What fraction of the employee’s work shift is represented by 6 hours ?
Answer:
Fraction of work shift represented by 6 hours = 0.6
Step-by-step explanation:
Total work shift of employee = 10 hours
Time considered to find fraction = 6 hours
Fraction of work shift represented by 6 hours 6/10=3/5=0.6=60%
Fraction of work shift represented by 6 hours = 0.6
Answer:
0.75
Step-by-step explanation:
Total work shift of an employee is 8 hours
Time consist to find fraction is 6 hours
The fraction of work shift by 6 hours :
[tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex] = 0.75 = 75%
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 13.6 reproductions and the population standard deviation is known to be 1.9. If a sample of 189 was used for the study, construct the 85% confidence interval for the true mean number of reproductions per hour for the bacteria. Round your answers to one decimal place.
Answer:
The confidence interval is [tex]13.4< \mu < 13.8[/tex]
Step-by-step explanation:
From the question we are told that
The sample mean is [tex]\= x = 13.6[/tex]
The standard deviation is [tex]\sigma = 1.9[/tex]
The sample size is [tex]n = 189[/tex]
given that the confidence level is 85% then the level of significance is mathematically represented as
[tex]\alpha = (100 - 85 )\%[/tex]
[tex]\alpha = 0.15[/tex]
Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table the value is
[tex]Z_{\frac{\alpha }{2} } = 1.44[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]E = 1.44* \frac{1.9}{\sqrt{189} }[/tex]
=> [tex]E = 0.1990[/tex]
The 85% confidence interval is mathematically represented as
[tex]\= x - E < \mu <\= x + E[/tex]
=> [tex]13.6- 0.1990 < \mu < 13.6+ 0.1990[/tex]
=> [tex]13.4< \mu < 13.8[/tex]
This is the last one, i truly appreciate all the help u guys have given me.
Answer:
it's rational ..........
Write a proper fraction to represent the shaded part. If an improper fraction is appropriate, write the shaded part of the diagram as (a) an improper fraction and (b) a mixed number.
9/7 (a)
(b) 1 whole 2/7 is the answer of ur question
Write the fraction 2/5 as an equivalent with the given denominator 25
Answer:
10/25
Step-by-step explanation:
2/5 = x/25
We need to multiply the bottom by 5 to get to 25
5*5 = 25
What we to the bottom, we do the the top
2/5 * 5/5 = 10/25
Answer:
10/25
Step-by-step explanation:
2/5 = x/25
cross multiply
2 • 25 = 50
5 • x = 5x
set equal to each other
5x = 50
divide both sides by 5
x = 10
Make the number 18 using six "1"s.
Answer:
(11-1-1)(1+1)
Step-by-step explanation:
revised
Need help with this have no idea how to do it
Answer:
Step-by-step explanation:
x- intercept, vertex (v) and axis of symmetry, parabola form:x²+bx+c
vertex(h,k)
1- f(x)=(x+3)(x-3) change into parabola formf(x)=x²-9 a=1,b=0 ,c=-9
h=-b/2a=0
k=f(0)=-9
vertex(0,-9) , x intercept is when f(x)=0
(x-3)(x+3)=0 either x-3=0⇒ x=3 or x+3=0 then x=-3
x=3, x=-3 (-3,0) and (3,0)
the x of symmetry is the h of the vertex=0
2-g(x)=(x+1)(x-3)g(x)=x²-2x-3 a=1, b=-2,c=-3
h=-b/2a⇒-(-2)/2(1)⇒h=1
k=f(1)=1²-2(1)-3⇒k=-4
v(1,-4)
x of symmetry=h=1
(x+1)(x-3)=0
x+1=0⇒x=-1 (-1,0)
x-3=0 ⇒x=3 (3,0)
x intercept :-1,3
3-y=-x(x+6) ⇒y=-x²-6x a=-1,b=-6, c=0vertex(-3,9)
x intercept:(0,0) and (-6,0)
axis of symmetry =-3
4-g(x)=2(x-5)(x-1) ⇒ 2x²-12x+10 a=2, b=-12, c=10vertex(3,-8)
axis of symmetry=3
x intercept : (5,0), (1,0)
5) -4x(x+1)⇒-4x²-4x a=-4,b=-4vertex(-1/2,1)
x of symmetry=-1/2
x intercept : (0,0)(-1,0)
6- f(x)=-2(x-3)² ⇒-2x²+12x-18vertex(3,0)
x intercept (3,0)
axis of symmetry = 3
An object has a potential energy of 14 J and a mass of 17 kg , how far above the ground is the object? An object moving with a speed of 35 m/s and has a kinetic energy of 1500 J, what is the mass of the object. What is the Potential Energy of a 1200 kg object that is 24 m above the ground? What is the Potential Energy of a 478 kg object that is150 m above the ground? What is the Potential Energy of a 100 kg object that is 12.5 m above the ground? An object has a potential energy of 14 J and a mass of 17 kg , how far above the ground is the object? An object is 35 m above the ground and has a potential energy of 1500 J, what is the mass of the object?
1. Potential Energy = mgh
h = U_g / (mg) = 14 / (17 * 9.81) = 0.084 m above the ground.
2. Kinetic Energy = 1/2 mv^2
m = 2K_e / (v^2) = 2.45 kg
3. U_g = mgh = (1200)(9.81)(24) = 282528 J
4. U_g = mgh = (478)(9.81)(150) = 703377 J
5. U_g = mgh = (100)(9.81)(12.5) = 12262.5 J
6. h = U_g / (mg) = 14 / (17 * 9.81) = 0.084 m above the ground.
7. m = U_g / (gh) = 1500 / (9.81 * 35) = 4.37 kg
A steel pipe which was 16.84 feet long, weighed 20.88 pounds what is the weight of one foot of the steel pipe?
There is 26 letters in the alphabet A=1 B=2 C=3 and so on Z+Z=?+D-A then take the number you get then turn it into a letter ?+F-K+L=? This is One of the hardest questions i made!!!!
Answer:
I got (G^B) +F-K+L= (G^B)
Step-by-step explanation:
4 times the sum of a number and 8 gives 25
Answer:
4×(x+8)=25.
use the 4 to multiply the numbers in the bracket.
which is 4x+32=25.
then collect like terms which is...
4x=25-32...
4x=-7.
x=-7/4= -1.75 or -1 whole number 3/4.
[128 ÷ (6 + 4 – 2)] X 8
Do parentheses first:
6 +4-2 = 8
Now do brackets:
128/8 = 16
Now multiply:
16 x 8 = 128
The answer is 128
2(-2a-4d)-(9a+17d) combining like terms
A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle move forward each time the wheels go around (use22/7 as an approximation for pie
Answer: About 88 inches
=============================================
Explanation:
Find the circumference
C = pi*diameter
C = (22/7)*28
C = 88
The tire's circumference is approximately 88 inches. This is the perimeter or distance around the circle. As the bike moves forward one full rotation of the wheel, all of the wheel will touch the ground at some point. The bike will move about 88 inches forward when the wheel does one full rotation.
A good way to visualize this is to imagine cutting the tire so that you can unroll it to lay it out completely flat forming a straight line. This line will be roughly 88 inches long.
From the given figure 7 ,find the value of x if AB is parallel CF and AE = DE, angle BAE = 38°.
*see the given given in the attachment below
Answer:
x = 109°
Step-by-step Explanation:
Since AB is parallel to CF, m<BAE = m<AED = 38° (alternate interior angles are congruent)
Since AE = DE, ∆AED is an isosceles ∆.
The two base angles of any given isosceles ∆ are said to be congruent.
This means, m<EAD = m<EDA = ½(180 - m<AED)
m<EDA = [tex] \frac{1}{2}*(180 - 38) [/tex]
m<EDA = [tex] \frac{1}{2}*(142) = 71 [/tex]
x + m<EDA = 180° (angle on a straight line)
[tex] x + 71 = 180 [/tex]
[tex] x + 71 - 71 = 180 - 71 [/tex]
[tex] x = 109 [/tex]
Value of x = 109°
Binomial (-2x - 8) and trinomial (-3x2 + 4x + 5) are the factors of which of the following polynomials?
Answer:
5
Step-by-step explanation:
One is the additive identity. True or False
Answer: false
Additive identity - the number 0; when added to any number, the value of the number does not change
( one is multiplicative identity )
at the mall myla bought a shirt for 25.36$ a hat for 5.09$ and a belt for 11.45$ howe much did she spend altogether?
25.36+5.09+11.45= 41.9$ intotal
Answer:
41,9
Step-by-step explanation:
25.36+5.09+11.45
i need help i will give the brainliest
Answer:
the answers are
13) -6
14) 6
15) -5
16) 3
17) 14
18) -4
19) -15
20) 4
21) 5
22) -12
Evaluate ( z^2 + 4 ) ( z^2 – 5)
Answer:
z^4-z²-20
Step-by-step explanation:
( z^2 + 4 ) ( z^2 – 5)
z^4+4z²-5z²-20
z^4-z²-20
Determine the sum of the arithmetic series: 5+18 +31 +44 + ... 161.
Answer:
1079
Step-by-step explanation:
Hello,
18-5 = 13
31-18=13
44-31=13
161=5+13*12
So we need to compute
[tex]\displaystyle \sum_{k=0}^{k=12} \ {(5+13k)}\\\\=\sum_{k=0}^{k=12} \ {(5)} + 13\sum_{k=1}^{k=12} \ {(k)}\\\\=13*5+13*\dfrac{12*13}{2}\\\\=65+13*13*6\\\\=65+1014\\\\=1079[/tex]
Thanks
The required sum of the arithmetic series 5+18 +31 +44 + ... 161 is 1079.
Given that,
Arithmetic series: 5+18 +31 +44 + ... 161.
The Sum of the series is to be determined.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values
Here,
From the given series
First term A = 5, Common difference D = 13 and last term L = 161
Last term = An + (n -1)
161 = 5 + (n - 1)13
n - 1 = (161 - 5) / 13
n = 12 + 1
n = 13
Now the sum of an arithmetic series,
S = n /2 (A + L)
S = 13 / 2 (5 + 161)
S = 13 / 2 * 166
S = 13 * 83
S = 1079
Thus, the required sum of the arithmetic series 5+18 +31 +44 + ... 161 is 1079.
Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ2
2) 200
3) 20
4) 10
5) 170
6) 55plz help i will mark the brainliest
Answer:
natural numbers - positive integers (whole numbers)
• 1
• 2
• 3
• 4
• 5
whole numbers - a number without fractions
• 10
• 11
• 12
• 13
• 14
rational numbers - a number that can be expressed as the ratio of two integers
• 1/3 or 0.3333...
• 17
• -34
• 25
• -10
integers - a whole number; a value that is not a fraction
• -5
• 49
• 68
• 439
• 35
What is the slope of the equation y=5/4x-7/4?
Answer:
[tex]\Large \boxed{\frac{5}{4} }[/tex]
Step-by-step explanation:
The slope - intercept form of a line is written in the form :
[tex]\sf y = mx+b \\ \\ \\ m=slope \\ \\ b=y-intercept[/tex]
The slope of the line is 5/4.
A tortoise is walking in the desert. It walks 43.75 meters in 7 minutes. What is it’s speed?
Answer:
v=0.104167m/s
Step-by-step explanation:
Given:
s=43.75
t=7min
Required:
v=?
Formula:
v=s/t
t in second
Solution:
1min=60s
7min=7*60s=420s
v=s/t
v=43.75m/420s
v=0.104167m/s
Hope this helps ;) ❤❤❤
It is estimated that 65.5% of the students at Foster Middle School will attend the benchmark reward party. Which number is NOT equivalent to 65.5%
Answer:
I am not totally sure but the answer might be 0.0655.
The rocket deploys a parachute after 9 seconds and descends at a constant rate of 20 ft/sec. How long does it take to reach the ground
This question is incomplete, the complete question is;
A rocket is launched straight into the air with initial velocity 200 ft/s. Assume the launch is instantaneous. How high will it go, and how long will that take (use time increments of 0.01 seconds)? G= - 32.2 ft/s² , H₀=0 (the ground)
V(t)=V₀ + g t
H(t)= H₀ + V₀ t + ½ g t²
The rocket deploys a parachute after 9 seconds and descends at a constant rate of 20 ft/sec. How long does it take to reach the ground
Answer:
a) maximum height S is 621.12 ft and time taken to reach it is 6.21 sec.
b) The rocket deploys a parachute after 9 seconds and descends at a constant rate of 20 ft/sec,
Time taken to travel t = 24.79 sec
NOW total time taken = 27.55 sec
Step-by-step explanation:
Given that,
initial velocity u = 200 ft/s
acceleration a = 32.2 ft/s²
vertical displacement ( maximum height) S = ?
final velocity at highest point Ц = 0
NOW from the equation of motion
v² - u² = 2as
we substitute
0² - (200)² = 2 (-32.2) × s
s = 621.12 ft
time taken t = (v -u)/a = (0-200)/-32.2
t = (-200) / (-32.2)
t = 6.21 sec
distance traveled by rocket from t=6.21sec to t=9sec
Δt = (9-6.21) = 2.79sec
s = ut + 1/2at²
s = 0 + 1/2(32.2)(2.79)² = 125.32 ft
Remaining distance = 621.12 ft - 125.32 ft = 495.8 ft
Time taken to travel = t = s/v = (495.5ft) / (20 ft/sec)
t = 24.79 sec
NOW total time taken = 2.79sec + 24.79sec = 27.55 sec
simplify the expression 3+2^2 / 2+3
Ans
8 option b.
Step-by-step explanation:
3+4/2+3
=3+2+3
=5+3
=8