Answer:
The statement is that the population increases at a rate of 4% per year
Step-by-step explanation:
The function is given as;
N(t) = 850(1.04)^t
The general equation form for a representation as this is;
P = I(1 + r)^t
Where I is the initial value and P is the present value
r is the rate of increase
t is the time
Thus, we have that;
1 + r = 1.04
r = 1.04-1
r = 0.04
0.04 is same as 4/100 which is same as 4%
So the statement about how the population of bear is changing is that the population increases at a rate of 4% each year
Reilly and Samantha work at frosty freeze ice cream shop. Reilly works every other day, and Samantha works every third day. Today they are working together. How many days will it be until the next time they work together?
Answer:
6 days
Step-by-step explanation:
Given that Reilly works every other day (This means that she works every 2 days) while Samantha works every third day. Today both of them are working together.
The next day none of them will be working, on the second day only Reilly would be working, on the third day only Samantha would be working, on the fourth day only Reilly would be working, on the fifth day none will be working and on the sixth day both Reilly and Samantha would be working.
This is the same as finding the least common multiple (LCM) of 2 days and 3 days which is 6 days
pls help ill give a brainly
Answer:
C. Positive 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
because we find the reciprocal and 9 divided by -3 and 8 divided by -4
9 divided by -3 is -3 and 8 divided by -4 is -2
so -3 times -2 is 6
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
20 points!! please help im struggling bad with this ):
Answer: Andy completed 7 problems.
Step-by-step explanation:
Manuel bought a 3/5 of a pound of clay for the students in his pottery class. He then divided the clay into 6 equal pieces for his students to use for making vases and pots. How much did each piece weigh?
Group of answer choices
Answer:
Each piece weighed 1/10 of a pound.
Step-by-step explanation:
We have 3/5 of a pound and we want to divide it by 6 equal pieces for each student. 6 equal pieces is the same as 6/1.
In order to divide 3/5 by 6/1 we need to invert the 6/1 and multiply. So, it becomes 3/5 x 1/6. First, we multiply the numerators: 3x1=3 then we multiply the denominators: 5x6=30. The result is 3/30, which can be reduced by dividing both the numerator and denominator by 3. 3/3=1 and 30/3=10. So, the result is 1/10.
Solve
[tex] log_{ \sqrt{2} }x = 6[/tex]
then value of x =?
Find the solution(s) to the equation sin(x/2) + cos x - 1 = 0 on the interval 0 less than or equal to x 2pie
Answers: A,B, and E
Answer:
A: 0
B: pi/3
E: 5pi/3
Step-by-step explanation:
The solution to the trigonometric equation is 0 , π/3 , 5π/3
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric equation be represented as A
sin ( x/2 ) + cos ( x ) - 1 = 0
sin ( x/2 ) - ( 1 - cos ( x ) ) = 0
On further simplification , we get
( 1 - cos ( x ) ) = 2sin² ( x/2 )
So , sin ( x/2 ) - 2sin² ( x/2 ) = 0
Taking sin ( x/2 ) as the common factor , we get
sin ( x/2 ) ( 1 - 2sin ( x/2 ) ) = 0
So , the solutions to the equation are
sin ( x/2 ) = 0
x = 0 , 2π
And , ( 1 - 2sin ( x/2 ) ) = 0
sin ( x/2 ) = 1/2
x = π/3 , 5π/3
Hence , the solutions are x = 0 , π/3 , 5π/3
To learn more about trigonometric relations click :
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Solve this help me
It is the question of class 10 Maths
Answer:
[tex]x = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } =\dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } }[/tex]
[tex]\dfrac{9 \cdot x + 10}{3} = \left ( \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } \right )^3 } = x^3[/tex]
Therefore;
[tex]x = \sqrt[3]{\dfrac{9 \cdot x + 10}{3}}[/tex]
Step-by-step explanation:
Given that we have;
[tex]x^2 - 2 = 3 ^{\frac{2}{3} } + 3 ^{-\frac{2}{3} }[/tex]
[tex]x^2 = 3 ^{\frac{2}{3} } + 3 ^{-\frac{2}{3} } + 2 = \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } = 3 ^{-\frac{2}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )[/tex]
[tex]x^2 = 3 ^{-\frac{2}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )[/tex]
[tex]x = 3 ^{-\frac{1}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )^{\frac{1}{2} }[/tex]
[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]
[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } = \left ( \dfrac{3 ^{\frac{4}{3} } + 2 \times 3 ^{\frac{2}{3} } + 1}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]
[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 2 \times 3 ^{\frac{2}{3} } + 1}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]
[tex]x = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } =\dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } }[/tex]
[tex]\dfrac{9 \cdot x + 10}{3} = 3 \cdot x + \dfrac{10}{3} = 3 \times \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } +\dfrac{10}{3} = \dfrac{ 3 ^{\frac{5}{3} } + 3 }{3 ^{\frac{1}{3} } } + \dfrac{10}{3}= \dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{2}{3} }\times3+ 10 }{3 } } }[/tex]
[tex]\dfrac{9 \cdot x + 10}{3} =\dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{2}{3} }\times3+ 10 }{3 } } } = \dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{5}{3} }+ 10 }{3 } } } = \left ( \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } \right )^3 } = x^3[/tex]
Therefore;
[tex]x^3 = \dfrac{9 \cdot x + 10}{3}[/tex]
[tex]x = \sqrt[3]{\dfrac{9 \cdot x + 10}{3}}[/tex]
Write the expression in simpleist form PLZ WILL GIIVE BRAINLIEST
4 + 4x + 6x - 3
1. 29x + 3
2. 75x + 3
3. 22x + 1
4. 10x + 1
Solve x^0 someone help me please
Answer:
x = 1
Step-by-step explanation:
Marcus solved a problem and found out that 190% of 20 is 380. Is he correct
Answer: He is Incorrect, It's 38
Work: For this question, I did the Cross-Product Method. The Cross Product Method is when you solve equation via to fractions. With the CPM, One one side of the fraction, I had x / 20 (Twenty being the whole number) and on the other side, I had 190/100 (190 being the percent) After setting this up, I made the equation. 190 times 20 is 3800, and the other multiplication is 100 times x which is 100x. So, the new equation is 3800 = 100x. I divided both sides by 100, and the answer is 38 = x
I hope this helps, and Happy Holidays! :)
Answer:
No, Marcus is not correct. He converted the percent to a decimal correctly and he multiplied correctly, but he put the decimal in the wrong place in the answer. There should be two decimal places in the answer, so the answer should be 38.
Step-by-step explanation:
I took the assingment in edge 2020
The temperature falls from 0 degrees to – 12.3 degrees in 3.5 hours. Which expression finds the change in temperature
per hour?
749
7 49
49 7
49
Answer:
3.514 degrees per hour
Step-by-step explanation:
To find change per hour, you find the slope, which is change in output (temperature) over change in input (hours)
y2-y1 / x2-x1
-12.3 - 0 / 3.5
3.514 degrees per hour
Find the angle measure D FIRST ANSWER GETS BRAINIEST
Answer:
its 44
Step-by-step explanation:
180=46+90+x
180=136+x
44=x
Is 9÷1/3 = 9×3? Please help...
The starting line for a race in Pike is 2.4 miles from the finish line. On a map of the course, the starting and finish lines are 1 inch apart. What scale does the map use?
Explain how I solve it?
Answer:
The scale factor is 152,064:1
Step-by-step explanation:
Scaling
The real distance of a race track in Pike is 2.4 miles.
One mile is equivalent to 63,360 inches, thus 2.4 miles = 152,064 inches.
On a map, that very same distance is represented as 1 inch. Thus the scale factor is 152,064:1
This means every inch on the map is equivalent to 152,064 inches on the race track.
Brainliest if answered
Answer:
Hope This Helps!!
it's not perfect.. but we get the idea...
Anyone know? Thank you!!
Answer:
reflect over x axis
x+3 y+3
Step-by-step explanation:
In Coachella, California the temperature was 9 degrees below zero at 2 am. By 5 am the temperature had dropped by an additional 7 degrees. By 1 pm the next day the temperature had risen by 12 degrees. What was the temperature at 5 am
Answer:
The temperature at 5 am is 16 degrees below zero.
Step-by-step explanation:
The temperature at 2 am is 9 degrees below zero:
[tex]T_{2_{am}} = -9 [/tex]
Since at 5 am the temperature had dropped by an additional 7 degrees, we have:
[tex]T_{5_{am}} = T_{2_{am}} - 7 [/tex]
[tex]T_{5_{am}} = -9 - 7 = -16 [/tex]
Therefore, the temperature at 5 am is 16 degrees below zero.
I hope it helps you!
On a number line, what is the distance between -57 and 13?
A)
-70
B)
-44
9
44
D)
70
Helpppppp
Answer:
-70 so A
Step-by-step explanation:
Answer:
D) 70
Step-by-step explanation:
Here is the correct mathematical way of find a distance between two points on the number line.
Take the absolute value of the difference of their coordinates.
If the points on a number line correspond to coordinates a and b, the distance between the points is
|a - b|
Your problem:
|a - b| = |-57 - 13| = |-70| = 70
The distance is 70.
Answer: D) 70
Please help me i dont know how to do this!!
Answer:
-1/2 is m and 3 is b
Step-by-step explanation:
-1/2 is the slope and 3 is the y-intercept,
Answer:
Step-by-step explanation:
The slope m is -1/2
The y-int b is 3
Since the slope is negative the graph should start from the top left and should go down all the way down to the bottom right. The line should also pass the point (0,3) since 3 is the y-int
7x2+6=23x
a. What is the first step when solving this quadratic equation?
b. What are the solutions to the equation?
Answer:
x = 3, x = [tex]\frac{2}{7}[/tex]
Step-by-step explanation:
(a)
The first step is to subtract 23x from both sides, that is
7x² - 23x + 6 = 0 ← in standard form
(b)
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 7 × 6 = 42 and sum = - 23
The factors are - 21 and - 2
Use these factors to split the x- term
7x² - 21x - 2x + 6 = 0 ( factor the first/second and third/fourth terms )
7x(x - 3) - 2(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(7x - 2) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
7x - 2 = 0 ⇒ 7x = 2 ⇒ x = [tex]\frac{2}{7}[/tex]
Graph the line y = 7/2x - 5
Answer:
slope: 7/2
y-int: (0, -5)
(0, -5) (10/7, 0)
Can someone just solve the problem please? it has to be an inequality in the equation
Answer:
(A) Let a represent the number of hours Cassie needs to work
(B) The inequality is 10 × a + 30 ≥ 140
(C) a ≥ 11
(D) Cassie needs to work babysitting for her neighbor for at least 11 hours to be able to buy the graphing calculator
Step-by-step explanation:
The least amount Cassie needs for the graphing calculator = $140
The amount Cassey currently have saved = $30
The amount her neighbor offers for her to babysit = $10 per hour
(A) The definition of the variable is given as a = The number of hours Cassie needs to work
(B) The inequality that defines the situation is 10 × a + 30 ≥ 140
(C) Solving the inequality gives;
10 × a + 30 ≥ 140
10 × a ≥ 140 - 30
∴10 × a ≥ 110
a ≥ 110/10
∴ a ≥ 11
Which gives;
The number of hours Cassie needs to work = a ≥ 11 hours
(D) The solution means that Cassie needs to babysit for her neighbor for at least 11 hours to be able to buy the graphing calculator.
A circular oil slick is expanding at a rate of 3m/min. How fast is the area of the oil slick changing when the diameter is 48 meters?
Answer:
[tex] 48\pi \:m/min[/tex]
Step-by-step explanation:
Diameter = 48 m
Therefore radius r = 48/2 = 24 m
[tex]Area \: of \: circular \: oil \: slick \\ A = \pi {r}^{2} \\ differentiating \: w \: r \: to \: t \: on \: \\ both \: sides \\ \\ \frac{dA}{dt} = \frac{d}{dt} (\pi {r}^{2} )\\ \\ \frac{dA}{dt} =\pi \frac{d}{dt} {r}^{2} \\ \\ \frac{dA}{dt} =\pi \times 2{r}\\ \\ \frac{dA}{dt} =2\pi {r} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =2\pi \times {24} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =48\pi \: m \: per \: min[/tex]
which statement best describes the value of square root of 8?
a. the value of 8 is 2
b. the value of 8 is 4
c. the value of 8 is between 2 and 3.
d. the value of 8 is between 7 and 9.
Answer:
I think A but if im wrong tell me sorry if it wrong
Step-by-step explanation:
Answer:
8 is 2 answers. the answer is A
Can someone help me plss! ?
Developmental norms are used as a benchmark to determine where one should be developmentally. Please select the best answer from the choices provided T F
Answer:
True
Step-by-step explanation:
ed 2020. I went back to check the answer so 100% right.
Answer:
tru
Step-by-step explanation:
Four less than the sum of a number and six is ten.
Someone please help
Answer:
8
Step-by-step explanation:
since u first do six + 8 which is 14. Then u do 14 - 4 which is 10
Plz mark as brainliest
Answer:
x=2
Step-by-step explanation:
x = the number
x + 6 = 6x - 4
Solve for x and get
5x = 10
Find the Valur that Would make the graphs parallel... Its alegebra please help quick i need help!
Answer:
k=8
Step-by-step explanation:
For 2 lines to be parallel, they must have the same slope. First, let's isolate y.
5y=2x+2
y=2/5x+2/5
Now, in our second equation, we must make it so that the slope is 2/5.
5(4)=20
2(4)=k
k=8
y=8/20x+10
If you simplify that, then the slope will be 2/5.
Which of the following measurements could be the side lengths of a right triangle?
A. 60 in, 80 in, 100 in
B. 60 in, 80 in, 120 in
C. 60 in, 90 in, 100 in
D. 50 in, 80 in, 100 in
Answer:
Option A
Step-by-step explanation:
for right angle triangle a²+b²= c²
60²+80²= 10000
√10000= 100
hope it helps!
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The answer A.
A as in Apple.