9514 1404 393
Answer:
734
Step-by-step explanation:
The growth factor is 1 -8% = 0.92. This is the base of the exponential formula. The multiplier is the initial value, so you have ...
p = 8951×0.92^t
When t=30, this evaluates to ...
p = 8951×0.92^30 ≈ 733.68
The population after half a minute will be about 734.
What is the length of one side of this regular pentagon if the area is 50 and apothem is 4?
Answer:
5
Step-by-step explanation:
i took the test
The required length of one side of the given regular pentagon is 5 units.
What is a polygon?Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,
Examples of polygons, equilateral triangles, squares, pentagons, etc
Here,
We can use the formula for the area of a regular pentagon to solve for the length of one side,
Area = (1/2) * Perimeter * Apothem
Since the pentagon is regular, all sides are equal, so we can write:
Perimeter = 5 * Length of one side
Substitute in the first expression
50 = (1/2) * 5 * Length of one side * 4
50 = 10 * Length of one side
Length of one side = 5
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Are 4x and 15 + x equivalent expressions? EXPLAIN
I need help FAST!
Answer:
x=5
Step-by-step explanation:
Step 1: you want to have x alone on one side so I will subtract one x from both sides (to remove the 1 x on the right side). Now we're left with 3x=15.
Step 2: Divide both sides by 3 (to remove the 3 in front of 3x). Now we have x=5.
can you please help me solve this equation using substitution? I’ve been trying to solve it for so long and can’t do it.
2x-y=5 and 3x+y=-9
Answer:
x=-4/5 y= -33/5
Step-by-step explanation:
y=-3x-9
2x+3x+9=5
5x=-4
x=-4/5
Then plug it in into an equation.....2(-4/5)-y=5
-8/5-y=25/5
-y=33/5
y=-33/5
You can check if you want
Answer:
x = -4/5, y = -6 3/5
Step-by-step explanation:
The way to use substitution to solve is to isolate (Put it on one side without anything else on that side of the equation) a variable. We can use the first equation to isolate y. We can add y on both sides to get that 2x = y + 5 and then subtract by 5 on both sides to get that y = 2x - 5. Next, we can substitute 2x - 5 in for y in the second equation because y = 2x - 5. We would get that 3x + 2x - 5 = -9, so 5x - 5 = -9, and if you add by 5 on both sides, you get 5x = -4. Finally, we can divide by 5 on both sides to get that x = -4/5. If you want to find y, we can find it by substituting x into the equation 2x - 5 = y. 2 * -4/5 - 5 is equal to y, so -8/5 - 5 = y, and lastly, y = -6 3/5
An archaeologist used string to make a grid over an area
where she was digging. She discovered a bowl buried at
(1,4) and a tool at (3, 10) on her grid. She suspected that an
item was buried at the midpoint of the segment connecting
the bowl and the tool. At which position on her grid should
the archaeologist dig to look for the buried item?
Answer:
option a c d are correct
Step-by-step explanation:
Since, the item was burried at the midpoint of the segment joining bowl and the tool. Archaeologist should dig at the midpoint which is at (2, 7).
Mid-point of a segment joining two points: If two points (a, b) and (c, d) are joined by a line segemnt, coordinates of the midpoint will be,Mid-point = [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]
Given points representing a bowl and a tool are (1, 4) and (3, 10).
Since, an item is burried at the midpoint of the segment joining bowl and tool,
Use the expression for the position of the mid-point of the segment.
Position of the item → [tex](\frac{1+3}{2},\frac{4+10}{2})[/tex]
→ (2, 7)
Hence, position of the burried item will be at (2, 7).
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The side length of a triangle are 6,8 and 12 are these sides of a right triangle
Answer:
Yes it a right triangle!!
Hope it helps you!!
Answer:
No
Step-by-step explanation:
6^2 + 8^2 doesn't equal 12^2
what is (-2)( 3 4/7)
Answer:
-7 1/7
Step-by-step explanation:
Hope that helps!
pls help soon reward brainiest
Answer:
x=-6
Step-by-step explanation:
Find the value of x. Then find the measure of the red arc.
Answer:
x = 70 degrees, red arc= 110 degrees
Step-by-step explanation:
x and 2x-30 added together is 180 degrees.
We can make an equation to find x,
x + (2x - 30) = 180
3x - 30 = 180
Add 30 to both sides to isolate x
3x = 210
By dividing both sides by 3, we get x = 70
Now we know the red arc is 2x - 30. We can plug x in because we know the value now.
2(70) - 30
140 - 30
Red Arc = 110 degrees
The value of x = 70 degrees, and the measure red arc of 110 degrees,
In the case when (2x - 30) degrees and x degrees are given.
Calculation of the value of x and red arc:Since
x + (2x - 30) = 180
3x - 30 = 180
3x = 210
x = 70
Now
= 2(70) - 30
= 140 - 30
= 110 degrees
hence, The value of x = 70 degrees, and the measure red arc of 110 degrees
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HELP IT’S URGENT!!!!!!!
Answer:
Step-by-stepMONNKKKKKK explanation:
H(x)=(x+5) ^2
If we solve h(x) = 36, one of the possible values of x is 1
What is the other possible value of x?
will give you brianlist
Answer:
-50x - 66
Step-by-step explanation:
Answer:
-50x - 66
Step-by-step explanation:
Which of the following equations are equivalent? Select three options.
2+x=5
X+ 1 = 4
09+X=6
X+(-4)=7
0-5+ X= -2
Answer:
2+x=5
X+1=4
0-5+X= -2
These are the answers
For a National Junior Honor Society Induction Celebration, Ahmed is renting tables and chairs. He wants to have only tables for 4 and tables for 6. The total number of people that can be seated in the school cafeteria with these tables is 160. Which equation represents this situation? (hint draw a picture) *
Answer:
i am not smart
Step-by-step explanation:
Question 4 (3 points)
What is the sum of the angle measures in this shape?
degrees
(I have to fill in the blank, please hurry I’ll give brainliest!!)
The sum of the angles in a triangle is 180°, If I remember correctly.
PLEASE IF U KNOW ANSWER HELP ME I NEED IT IN NEXT 10 MINUTES
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
[tex]y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0[/tex]
Therefore x + 2y - 3 = 0 is the required equation of line.
Answer:
Answer:
x + 2y - 3 = 0
Step-by-step explanation:
Coordinates of the points P and Q are (-3, 0) and (0, 6) respectively.
Slope of PQ = (0- 6)/(-3 - 0) = - 6/-3 = 2
Slope of line perpendicular to PQ = - 1/2
Since, required line passes through point R(7, - 2) and is perpendicular to PQ.
Therefore, equation of line in point slope form is given as:
\begin{gathered}y - (-2) = - \frac{1}{2} (x - 7) \\ \\ y + 2 = - \frac{1}{2} (x - 7) \\ \\2(y + 2) = - (x - 7) \\ \\ 2y + 4 = - x + 7 \\ \\ 2y + 4 + x - 7 = 0 \\ \\ x + 2y - 3 = 0\end{gathered}
y−(−2)=−
2
1
(x−7)
y+2=−
2
1
(x−7)
2(y+2)=−(x−7)
2y+4=−x+7
2y+4+x−7=0
x+2y−3=0
Therefore x + 2y - 3 = 0 is the required equation of line.
hope it helps you
what is the factored form of 4(3x + 12) + 4?
Answer:
12x + 52
Step-by-step explanation:
Distribute.
(4 • 3x + 4 • 12) + 4
12x + 48 + 4
12x + 52
Mr Lee bought 3 packs of meat for barbecue party. Each packs weighed 7 1/2 kg. The price for the meat was $3 pork. How much did Mr Lee bought?
Answer:
68.5
Step-by-step explanation:
each pack 7.5 kg
price for each pack $3
he bought 3
7.5 x 3=22.5
22.5 x3=66.5
find the product of (2x^2+2x-3)(4x^2-3x+6
Answer:
=8x^4+2x^3−6x^2+21x−18
Step-by-step explanation:
(2x2+2x−3)(4x2−3x+6)
If flx) = 2x – 6 and g(x) = x-2x?, find each value.
Answer:
The question is not correct. you have two linear functions. do you want to know their intersection point?
Step-by-step explanation:
[tex]f(x)=2x-6\\[/tex]
[tex]2x-6=0[/tex]
[tex]2x=6[/tex]
[tex]\frac{2x}{2} =\frac{6}{2\\}[/tex]
x=3
Then you just plug into g(x)
[tex]g(x)=x-2x[/tex]
[tex]g(x)=3-2(3)\\[/tex]
[tex]g(x)= 3-6[/tex]
So,
f(x)=3
g(x)=-3
An eagle is flying at an altitude of 280 feet. The angle of depression from the eagle to a mouse on the ground is 15º. What is the direct line distance from the eagle to the mouse? Round answer to the nearest thousandth
Answer:
Step-by-step explanation:
X = distance between eagle and mouse.
sin(15°) = 280/x
X = 280/sin(15°) = 1,081.837 ft
can earn 5 coins
Which of the following situations are equal to 5? Select all that apply.
A) 25% of 20
B) 10% of 50
C) 10% of 40
D) 50% of 10
E) 50% of 8
Answer:
B) 10% of 50
Step-by-step explanation:
B) 10% of 50hjxhsujwsdvnidfohiefhiedhefbeefuebfeufbeufrbfrgfeufgeudgegdeudgegdej
correct options arere A,B,D
A computer at an electronics store costs $2,893 The tax is 6% how much money will you spend total?
Answer:
$3066.58
Step-by-step explanation:
$2893 x 1.06= $3066.58
Hope this helps!
I NEED HELP ASAP PLEASE!!! I'LL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!!
Answer:
x = 3
y = 4
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
please do them all please
Answer:
7(3 + 3x) = 21x + 21
2d + 10(4d +4 + 2a) = 20a + 42d + 40
3t + 2x + x = 3t + 3x
5(r + 12) - 25 = 5r + 35
18s + 12rs + 10r - 2rs = 10rs + 10r + 18s
s(12 - 4) + 2 = 8s + 2
w(15 - 3) + 2 + 7w = 19w + 2
Step-by-step explanation:
The quantity of sugar and milk in each cup of tea
can be represented as an ordered pair.
A. True
B. False
SUBMIT
Please help quick will give brainliest!
Answer:
There is a vertical asymptote at x = 4 because lim g(x) = ∝ and lim g(x) = -∝
The cash register subtracts $4.00 from a $20 Coffee Cafe gift card for every medium coffee the customer buys. Use the graph to write an equation in slope-intercept form to represent this situation
Which fraction has a repeating decimal as its decimal expansion?
3/25
3/16
3/11
3/8
Are the ratios 2:4 and 5:6 equivalent? yes or no
Answer:
No
Step-by-step explanation:
If you try to multiply the 2:4 to change it to 5:6 , you can't because 5 is an odd number and 2 is and even
Eight minus a number divided by three is greater than or equal to eleven
Answer:
Step-by-step explanation:
8-x/3>=11 is the equation, and the answer is:
x<= -9, so any number less than -9 is correct.
The solution is x ≤ -9
What are Inequality Equations?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the number be x
8 - x/3 ≥ 11
Subtracting 8 on both sides , we get
-x/3 ≥ 3
Multiplying by 3 on both sides , we get
-x ≥ 9
Interchanging the sign on both sides , we get
x ≤ -9
Hence , the solution is x ≤ -9
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