Answer:
<ABC = 51°
Step-by-step explanation:
Given
<A = 2x -15°
<B = x - 5°
< C = 148°
Now
<A + <B = < C ( Exterior angle of a triangle is equal to the sum of two opposite interior angles)
2x -15° + x - 5° = 148°
3x - 20° = 148°
3x = 148° +20°
3x = 168°
x = 168° / 3
X = 56°
Now for Angle B
= 56° - 5°
= 51°
Hope it helps :)
What is 3.116372 rounded to the nearest hundred thousandths place?
Answer:
3.11637
Step-by-step explanation
I got it right ayyy :p
Which does the ratio 17:44 represent?
Answer:
Step-by-step explanation:
the part-to-whole relationship between homework help and sports
Question
Under ideal conditions, the population of a certain species doubles every nine years. If the population starts
with 100 individuals, which of the following expressions would give the population of the species t years after
the start, assuming that the population is living under ideal conditions?
Answer: 100 x 2^ t/9
Step-by-step explanation:
The initial population of 100 that doubles in 9 years, gives the
expression for population as; [tex]\underline{ P = 100 \cdot e^{0.077 \cdot t}}[/tex].
How can the expression for the population be found?Given parameters are;
The time it takes the population to double = 9 years
The initial population count = 100
Required:
The expression that gives the population after t years.
Solution:
The population as a function of time can be expressed as an
exponential function as follows;
[tex]P = \mathbf{P_0 \cdot e^{c \cdot t}}[/tex]
At the start, t = 0, P = 100, we have;
[tex]100 = \mathbf{ P_0 \times e^{c \times 0} }= P_0[/tex]
Therefore;
P₀ = 100
After 9 years, we have;
P = 2·P₀
Therefore;
[tex]2 = \mathbf{ e^{c \times 9}}[/tex]
ln(2) = 9·c
[tex]c = \dfrac{ln(2)}{9} \approx 0.077[/tex]
The function that gives the population is therefore;
[tex]\underline{ P = 100 \cdot e^{0.077 \cdot t}}[/tex]Learn more about exponential functions here:
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URGENT!!! PLEASE HELP (30 points !!!)
Use the line tool to graph the equation on the coordinate plane.
y=-3
-3(x-4) = -9(x - 1)
X=?
Answer:
x = - 1/2
Step-by-step explanation:
-3(x-4) = -9(x - 1)
1. Distributive Property
-3 * x -3 *-4 = -9 * x -9 * -1
-3x + 12 = -9x + 9
Hint: 2 negatives make a postive
-3x + 12 = -9x + 9
2. Subtract 12 on both sides
-3x + 12 - 12 = -9x + 9 - 12
-3x = -9x + -3
3. Add 9x on both sides
-3x + 9x = -9x + 9x + -3
6x = -3
4. Divide both sides by 6 to isolate the variable
6x/6 = -3/6
x = - 1/2
Check:
-3(-1/2-4) = -9( -1/2- 1)
3/2 + 12 = 9/2 + 9
3/2 + 12 ( we need a common denominator so...lets make it 2 )
3/2 + 12*2/1*2
3/2 + 24/2 = 27/2 = 13 1/2 = 13. 5
Now...
9/2 + 9 ( we need a common denominator so..lets make it 2 )
9/2 + 9*2/1*2
9/2 + 18/2 = 27/2 = 13 1/2 = 13.5
13.5 = 13.5 CORRECT!
27/2 = improper fraction
13 1/2 = mixed number
13.5= decimal form
Hope this helped
Find the lcm of 5m^7+ 35m^6+50m^5 And -20m^5-80m^4+100^3
Answer:
LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]
Step-by-step explanation:
Least Common Multiple
We are given the polynomials
[tex]5m^7+ 35m^6+50m^5[/tex]
[tex]-20m^5-80m^4+100m^3[/tex]
Find the common factors of each polynomial, first the coefficients:
5 = 5
35 = 5*7
50 = 5*5*2
The common factor with the least exponent; 5
Now for the variables:
[tex]m^7, m^6, m^5[/tex]
The common factor with the least exponent; m^5
LCM of [tex]5m^7+ 35m^6+50m^5: 5m^5[/tex]
Similarly:
20 = 2*2*5
80=2*2*2*2*5
100 = 2*2*5*5
Common factor of the coefficients: 2*2*5=20
Common factor of variables: [tex]m^3[/tex]
LCM of [tex]-20m^5-80m^4+100m^3 = 20m^3[/tex]
LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]
Which isa zero of the quadratic function f(x) = 4x + 24x + 11?
Ox=9.25
Ox=-5.5
Ox=0.5
Ox=3.25
Answer:
b
Step-by-step explanation:
just took the test edg 22
Option B is correct, -5.5 is the zero of the quadratic function f(x) = 4x + 24x + 11
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The given quadratic function is f(x) = 4x²+24x+11
We have to find the zero of the function.
Let us use the quadratic formula to find the zero.
a=4, b=24 and c=11
Let us plug in these values in quadratic formula
x=- 24±√24²-4(4)(11)/8
=-24±√576-176/8
=-24±√400/8
=-24±20/8
=4(-6±5)/8
=(-6+5)/2 or -6-5/2
=-1/2 or -11/2
=-0.5 or -5.5
Hence, Option B is correct, -5.5 is the zero of the quadratic function f(x) = 4x + 24x + 11
To learn more on Quadratic equation click:
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#SPJ7
289.08 divided by 4 .......?
Answer:
72.27
Step-by-step explanation:
Answer:
72.27
Step-by-step explanation:
that's what I got on the calculator.
John hit a golf ball from the ground and it followed the projectile h(t)=-16t²+100t+0, where is the time in seconds, and ℎ is the height of the ball. Use the quadratic formula to solve the two roots. These represent the 2 times that the ball is on the ground. At what time does the golf ball land? What is the max height of the golf ball? At what time (t) is the golf ball at the maximum height?
Answer:
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
Step-by-step explanation:
Step(i):-
Given
h(t)=-16t²+100t ...(i)
Differentiating equation (i) with respective to 't'
[tex]\frac{dh}{dt} = -16(2t) + 100 (1)[/tex]
-32t + 100 =0
⇒ -32 t = -100
[tex]t = \frac{100}{32} = \frac{25}{8} = 3.125[/tex]
t = 3.125 > 0
Step(ii):-
Given h(t) = -16t²+100t = 0
t ( -16 t + 100 ) =0
t =0 and -16t = -100
t =0 and t = 6.25
Step(iii):-
h(t) = -16t²+100t ...(i)
put t=0 in equation (i)
h(0) = 0
put t = 3.125 in equation (i)
h(t) = -16(3.125)²+100(3.125)
h (t) = 156.25
Put t = 6.25
h(t) = -16(6.25)²+100(6.25)
= 0
The maximum value h(t) = 156.25 at 3.125
final answer:-
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
15 POINTS HELPPPP
1. Object B has more mass than Object A. How would the velocity of Object B change if you exerted
the same strength force on Object B as you did on Object A? Why?
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!
help quicklyy pleasee
Answer:
b
Step-by-step explanation:
Answer:
It is B.
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
I WILL GIVE YOU BRAINLY PLSS
If you multiply both sides of an inequality by a negative number, when should you
reverse the inequality symbol?
A. sometimes
B. always
C. never
D. depends on if the number is a fraction or not
PLSS SHOW YOUR WORK PLSS
Answer:
b
Step-by-step explanation:
if you say 1<2 and multiply both by negative 3 you will have -3 > -6
Answer:
Step-by-step explanation:
When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number. You can also consider this with a number line.
I hope this helps!
A company rents two storage units. Both units are cube- shaped. What is the difference in volume of the two storage units? Note that the volume of a cube a square is s(2) , where is the side length. Explain.
Answer:
The difference between their volumes is [tex]237.375ft^3[/tex]
Step-by-step explanation:
The attachment completes the question.
For cube 1:
[tex]s_1 = 8ft[/tex]
For cube 2:
[tex]s_2 = 6.5ft[/tex]
Required
The difference in their volumes
First, we calculate the volume of box 1
[tex]V_1 = s_1^3[/tex]
Substitute 8 for s1
[tex]V_1 = 8^3[/tex]
[tex]V_1 = 512ft^3[/tex]
Next, we calculate the volume of box 2
[tex]V_2 = s_2^3[/tex]
Substitute 6.5 for s2
[tex]V_2 = 6.5^3[/tex]
[tex]V_2 = 274.625ft^3[/tex]
The difference is then calculated as:
[tex]Difference = |V_1- V_2|[/tex]
[tex]Difference = |274.625- 512|[/tex]
[tex]Difference = |-237.375|[/tex]
[tex]Difference = 237.375[/tex]
Hence, the difference between their volumes is [tex]237.375ft^3[/tex]
Pleaseee help me ASAP, I’m confused and if you are too please don’t just answer for the credits at least read carefully then try to help :(
Answer:
BBEFI or HLast one could be either "Prove" or "CPCTC"
x^2= 36/121 what is x?
Answer:
0.545436
Step-by-step explanation:
First convert the fraction into a decimal
36/121 is 0.2975
Then find the square root which is 0.545436
M/8-15=-12
What would m equal??
Answer:
24?
Step-by-step explanation:
i need help with this question...
2x + 3 ≤ 13
Answer: x ≤ 5
Step-by-step explanation:
Hello Pleasa help ASAP !!!!
Select all that apply.
The figures below are not similar because _____.
the corresponding angles are congruent
the corresponding sides are not proportional
the corresponding sides are proportional
they are not the same shape
ok imma try...
Answer: the corresponding sides are proportional. and they arent the same shape, please correct me if im wrong
Dwight is selling flowers and candles for a school fundraiser. Flowers, x, sell for $7 for a bouquet, and candles, y, sell for $5. each. If he wants to sell at least $200 worth of flowers and candles, which inequality represents the situation where he sells x flowers and y candles?
A: 7x + 5y 200
C: 7x + 5y ≤ 200
D: 7x + 5y ≥ 200
Please explain why the right answer choice is correct. Thanks.
Answer:
D: 7x + 5y ≥ 200
Step-by-step explanation:
If flowers sell for $7 and candles sell for $5, we can write those as 7x and 5y. Now, our inequality is 7x + 5y __. The words "at least" can translate to greater than or equal to. The symbol for that is ≥. Now, he wants to sell at least $200 worth of goods. That means we can write our inequality as 7x + 5y ≥ 200.
Which One Doesn't Belong?
6(4 + 3)
418 + 14)
3(8 + 6)
18 + 24
what is the LCM of 9,12,16
Answer: The Least Common Multiple (LCM) for 9, 12 and 16, notation LCM (9,12,16), is 144.
Answer:
its 144
Step-by-step explanation:
n is an integer.
Write the values of n such that -15 < 3n < 6
Answer:
-5<n<2Thus ans(-4,-3,-2,-1,0,1)
Step-by-step explanation:
Divide all by 3 so that we can make n and find the value using sign
1) Work out the size of angle x.
2) Give reasons for your answer.
(15 points if correct)
Answer:
x= 75°
because 180°-105°=75°
Can anyone help me please!?
Answer:
Step-by-step explanation:
(==========================)
( 12.024 )
( 12.04 )
( 1,204.2 )
(==========================)
12.024 12.04 1,204.2
=========,=========,=========
hope this helps
I need this by tomorrow! please help me, I'm desperate. I dont understand it well.
write a equation to find the "n" term of each sequence
1,3,5,7,....
Answer:
a1=1
d=3-1
=2
an=a1+(n-1)d
=1+ (n-1)2
=1+2n-2
2n-1
Samuel deposits $100 in a high-interest account that has an interest rate of 10% compounded annually. Samuel decides to neither add to nor withdraw money from the account for the next 10 years. How much will be in his account in 3 years? How long will it take to accumulate $61 in interest?
Answer:
In 3 years, the value of Samuel’s account will be approximately $133
It will take about 5 years for Samuel’s account to earn $61 in interest.
Step-by-step explanation:
edmentum
Please please help please please
Answer:
A. 4/ 3
Step-by-step explanation:
With reference angle X
perpendicular (p) = 24
base (b) = 18
Now
tan X = p / b = 24 / 18 = 4 / 3