Answer:
Step-by-step explanation:
The standard form of an exponential equation is [tex]y=a(b)^x[/tex] where y is the final count of the population after some time, x, goes by; a is the initial or starting amount of people (our unknown), and b is the growth rate. For us, y is 33620, the time is x = 2 years, and the growth rate is .025; but if we are growing we are expanding on the amount that we started with, so b = 100% + 2.5% = 102.5% and in decimal form, 1.025.
[tex]33620=a(1.025)^2\\33620=1.050625a[/tex] so
a = 32000
The initial population is 32000
need help with this !!
Answer:
1
5
4
2
3
Step-by-step explanation:
1 combines the sets A and B. that symbol there stands for U like "union". so, all values of x, where x is either < 1 or >= 5.
2 is again a union. A and C are combined. C contains only one element : x=5.
3 is again a union. B and C are combined. but the element of C (x=5) is already part of B (x>=5), so the union does not change anything, the result is simply B again.
4 is doing a "cross section" between the sets A and B. only elements that are in both sets are in the result. but x < 1 and x >= 5 don't have any elements in common. so, the result is an empty set.
5 is again a cross section. the only shared element between B and C is x=5.
What is the value of the discriminant of the quadratic equation -2x2=-8x+8, and what does its value mean about the number of real number solutions the equation has?
The discriminant is equal to 0, which means the equation has no real number solutions.
The discriminant is equal to 0, which means the equation has one real number solution.
The discriminant is equal to 128, which means the equation has no real number solutions.
The discriminant is equal to 128, which means the equation has two real number solutions.
B..The discriminant is equal to 0, which means equation has on real number solutions
The discriminant is equal to 0, which means the equation has one real number solution, option B is correct.
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 discriminant of a quadratic equation in standard form, ax² + bx + c = 0, is given by the expression b² - 4ac.
The given equation is -2x² = -8x+8
a = -2, b = 8, and c = -8.
Substituting these values into the formula for the discriminant, we get:
b² - 4ac = (8)² - 4(-2)(-8)
= 64 - 64
= 0
Therefore, the discriminant is equal to 0.
When the discriminant is equal to 0, it means that the quadratic equation has one real number solution (a double root) because the quadratic formula will give only one root.
Hence, the discriminant is equal to 0, the equation -2x² = -8x + 8 has one real number solution.
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ5
Will Mark Brainlest Help pls
Answer:
2 2
1 -3
Step-by-step explanation:
2b=[4 4]
2 -6
b=[4/2 4/2]
2/2 -6/2
b=[2 2]
1 -3
A waitress pours 3/4 gallon of orange juice equally into 5 pitchers. what fraction of a gallon of orange juice is in each pitcher?
Answer:
15/100
Step-by-step explanation:
3/4 or a gallon is equal to 75/100
Because its 5 pitchers we divide by 5 and 75 divided by 5 is 15
A baker makes apple tarts and apple pies each day. Each tart, t, requires 1 apple, and each pie, p, requires 8 apples. The baker receives a shipment of 184 apples every day. If the baker makes no more than 40 tarts per day, which system of inequalities can be used to find the possible number of pies and tarts the baker can make?
t ≤ 40
p ≤ 184
t ≤ 40
8p ≤ 184
t ≤ 40
p + 8t ≤ 184
t ≤ 40
8p + t ≤ 184
Answer:
8p + t < = 184
Step-by-step explanation:
This equation says that 8 apples per pie (8p) plus a number of tarts (t) is less than or equal to 184 apples.
Answer:
(D.)
The answer above mine is correct
I have proof
Also give them brainliest
HELP ASAP!!!!!
thanksssssss
Answer:
[tex]9(c+5)=9c+45[/tex]
Step-by-step explanation:
Multiply 9 by the variable and the number
If A = {2,4,6,8,}, write the set A by description method
Step-by-step explanation:
Set-builder notation is a notation for describing a set by indicating the properties that its members must satisfy.
C={2,4,6,8}
C={2×1,2×2,2×3,2×4}
thus set builder form is:
{x:x=2n,n∈N} and this set is also call even number set in description mathod
There are 120 students going in a field trip. If each bus held 30 students, how many buses are needed?
A:6
B:5
C:4
D:3
Answer:
4
Step-by-step explanation:
120/30 = 4
Since a bus can hold 30 students, that means we need 4 busses to hold all 120 students.
Urgent!! Does anyone know how to solve this?
Answer:34/45
Step-by-step explanation:
4 − 3
2
∗ 0.6 + (2
5
− 3.2 + 8.1) =
Answer:
4.9...Maybe???
Step-by-step explanation:
just writing this to post my answer
Correct gets 5 stars and brainliest
Answer:
13 mi
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 +12^2 = c^2
25+144 = c^2
169 = c^2
Taking the square root of each side
sqrt(169) = sqrt(c^2)
13 = c
Anyone know how to do this?
What is the answer of 603 x 42 , this question is multiply , it’s of my brother who is just in g-4 …… pls help if you know but teach by process
Answer:
25326Step-by-step explanation:
please refer to the picture above
[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Paula ran a total of 12 miles over the course of 2 track practices. What is the unit rate?
A. 6 miles
B. 6 miles per practice
C. 4 miles per practice
D. 10 miles per practice
Answer:
B. 6 miles per practice
Step-by-step explanation:
12 miles over the course of 2 track practices divided by 2
12/2 = 6
6 miles per one track practice
Which function is represented by this graph?
Answer:
it is an absolute function
or more precisely
y = - I x - 1 I + 8 (shown in the screenshot)
If ABC - AZXY, mZA = 50, and mZC = 30,
what is mZX?
Let it be x
Using angle sum theory
[tex]\\ \sf\longmapsto 50+30+x=180[/tex]
[tex]\\ \sf\longmapsto 80+x=180[/tex]
[tex]\\ \sf\longmapsto x=180-80[/tex]
[tex]\\ \sf\longmapsto x=100[/tex]
How many solutions does this equation have x^4 - 6x^2 -7 = 0
Answer:
2 solutions
Step-by-step explanation:
x^4-6x^2-7=0
Replace x^2 by y
(x^2)^2-6x^2-7=0
y^2-6y-7=0
D=b^2-4ac= (-6)^2-4*1*(-7)= 36+28=64
sqrtD=8
y1=(-b-sqrtD)/2a=-2/2=-1
y2= (-b+sqrtD)/2a=14/2=7
x^2=-1(n0 roots) x^2=7 x=sqrt7 or x=-sqrt7
2 roots
solve for x algebra help
Answer:
x=24
Step-by-step explanation:
Hi there!
We are given the following proportion:
[tex]\frac{2}{10}=\frac{3}{x-9}[/tex]
And we want to solve for x.
First, let's reduce [tex]\frac{2}{10}[/tex], as reducing fractions typically makes the process easier
[tex]\frac{2}{10}[/tex] is the same as [tex]\frac{1}{5}[/tex]
So:
[tex]\frac{1}{5}=\frac{3}{x-9}[/tex]
We can't do anything to [tex]\frac{3}{x-9}[/tex], but that's okay.
Now we can cross multiply, as this is a proportion
Multiply x-9 by 1 and 3 by 5
1(x-9)=3(5)
Multiply
x-9=15
Now this is an equation
Our goal is to isolate x on one side
So let's add 9 to both sides to remove it from the left side
x-9=15
+9 +9
_________
x=24
Hope this helps!
Answer:
24
Step-by-step explanation:
Cross multiply:
2(x - 9) = 2x - 18
3(10) = 30
2x-18 = 30
+18 +18
-----------------
2x = 48
----- -----
2 2
x = 24
Hope this helped.
Determine the sign of cos pi divided by three without using a calculator.
Answer:
positive
Step-by-step explanation:
To solve this, we can look at the unit circle (see attached photo), We know:
(0,1) = π/2
(-1, 0) = π
(0, -1) = 3π/2
(1, 0) = 0
Across the circle, we know that π/3 is between 0 and π/2. Therefore, as the unit circle line between that is positive in the x direction (cos), we can say that cos(π/3) is positive
Can someone help me on this math question its confusing ill give brainly when right!!!
No Links Plz. I need help
Answer:
Equation 5x+15=180°
x=33°
Step-by-step explanation:
Angles on a straight line always add up to 180°.
Form an equation:
4x+15+x=180° (Both of the red and blue angles add up to make the straight line).
Collect like terms:
Like terms are terms with the same variables and powers.
4x+x=5x
Put it back into an equation:
5x+15=180°
To find x, you would have to do inverse operations to isolate it.
180-15=165°
5x=165°
165÷5=33° (We divide by 5 because, in algebra, when a number is next to a letter it means times and as we want the inverse we divide).
So, x=33°
Hope this helps :)
The circumference of a circle is 20π. What is the area of the circle?
Answer:
The area of the circle is 100 square units.
Step-by-step explanation:
We are given that the circumference of a circle is 20π, and we want to determine its area.
Recall that the circumference of a circle is given by the formula:
[tex]\displaystyle C = 2\pi r[/tex]
Substitute:
[tex]20 \pi = 2 \pi r[/tex]
Solve for the radius:
[tex]\displaystyle r = \frac{20\pi}{2\pi} = 10[/tex]
The area of a circle is given by:
[tex]\displaystyle A = \pi r^2[/tex]
Since the radius is 10 units:
[tex]\displaystyle A = \pi (10)^2[/tex]
Evaluate:
[tex]\displaystyle A = 100\pi\text{ units}^2[/tex]
In conclusion, the area of the circle is 100 square units.
how many metres of wire is needed to fence a circular pond of radius 7.7m if the fence is to have three strands of wire all the way around .Give your answer correct to one decimal place. (Take pi is 3.14)
Find the circumference of the pond:
Circumference = 2 x pi x radius
Circumference = 2 x 3.14 x 7.7 = 48.356 m
You want to go around 3 times so multiply the circumference by 3:
48.356 x 3 = 145.068m
Rounded to 1 decimal = 145.1m
The terminal of theta is (sqrt2/2, sqrt2/2) what is tan theta?
Answer:
D
Step-by-step explanation:
tan(theta) = y/x
tan(theta) = (sqrt(2)/2)/(sqrt(2)/2)=1
I need help I need help
Answer:
n-35=40
n=75 (the amount she started with)
Step-by-step explanation:
helppp! pleaseee i beg
Answer:
If there is a formula that goes: y = ax + b, it is linear, so the 6/7X formula is linear
I'm not familiar with the rest of the names as they differ from the language I speak
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Evaluate the following expression.
"the quotient of 18 and 2"
A. 1/9
B. 9
C. 16
D. 20
Answer:
B) 9
Step-by-step explanation:
Quotient means that it’s for DIVISION. The 18 is the dividend, 2 is the divisor, and the quotient is the answer:
Dividend ÷ Divisor = Quotient
18 ÷ 2 = 9
write brackets () in this statement to make it correct 6 + 4 x 5 - 3 = 14
Answer:
6+4*(5-3)
Step-by-step explanation:
Because of PEMDAS l, we first solve in the parantheses. So 5-3 would be 2, then we multiply 2 by 4 which would be 8 obviously. Then we do the final step, add 6 and 8 which would be 14. Cheers!
Answer: 6 + 4 × (5-3)
Explanation:
6 + 4 × (5-3) = 14
6 + 4 × 2 = 14
6 + 8 = 14
14 = 14
Must click thanks and mark brainliest
 Jack is a discus thrower and hopes to make it to the Olympics some day. He has researched the distance (in meters) of each men's gold medal discus throw from the Olympics from 1920 to 1964. Below is the equation of the line of best fit Jack found.
y
=
0.34
x
+
44.63
y=0.34x+44.63
When calculating his line of best fit, Jack let x represent the number of years since 1920 (so x=0 represents 1920 and x=4 represents 1924).
Using the line of best fit, estimate what the distance of the gold medal winning discus throw was in 1980.
44.63 meters
717.83 meters
65.03 meters
71.83 meters
X would be the number of years between 1920 and 1980:
1980-1920 = 60 years.
Replace x with 60 and solve:
Y = 0.34(60) + 44.63
Y = 20.4 + 44.63
Y = 65.03
Answer: 65.03 meters
examples of compound events
Answer:
the probability of rolling an even number on a die, then tossing a head on a coin.Answer:
Step-by-step explanation:
The favorable outcome is rolling a five, and that can only occur once using one die. The total number of outcomes is six, since the die is 6-sided. So the probability of rolling a five is 1/6. 2) What is the probability that you will pull a heart out of a standard deck of cards?
