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The number of archaeological sites discovered in a country over time, x, can be represented by the function S(x) = 2(1.1)x. The approximate number of artifacts found in each site over time, x, can be represented by the function A(x) = (1.1)5x + 2.
Create the function, T(x), that best describes the total number of artifacts found in archaeological sites in the country after x years.
Answer:
huh
Step-by-step explanation:
?
The exponential function that best describes the total number of artifacts found in archaeological sites in the country after x years = T(x) = [tex]2(1.1)^{6x+2}[/tex]
What is exponential function?An exponential function is defined by the formula f(x) = a×, where the input variable x occurs as an exponent.
Time period = x years
The number of archaeological sites discovered in a country in x years = S(x) = [tex]2(1.1)^{x}[/tex]
The approximate number of artifacts found in each site over time = A(x) = [tex](1.1)^{5x+2}[/tex]
The total number of artifacts found in archaeological sites in the country after x years = T(x) = S(x).A(x) = [tex]2(1.1)^{x}(1.1)^{5x+2} = 2(1.1)^{6x+2}[/tex]
Learn more about exponential function here
https://brainly.com/question/11487261
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Show that x^2 + 5x = 3
Answer:
[tex]area = length \times width \\ 9 = (x + 3)(x + 2) \\ {x}^{2} + 2x + 3x + 6 = 9 \\ {x}^{2} + 5x + 6 = 9 \\ {x}^{2} + 5x + (6 - 9) = 0 \\ {x}^{2} + 5x =3[/tex]
y=3x-1
Help pleaseeeeee
Answer:
y=3x-1
Step-by-step explanation:
Not enough context
Hope this helps!
:)
What is the missing side length in the triangle?
If 2 is subtracted from 3 times a number , the result is 25.Find the number?
Answer:
3x-2=25
x=9. .
Answer:
9
Step-by-step explanation:
A bakery offers a sale price of $2.60 for 6 muffins. What is the price per dozen?
Answer:
$5.20
Step-by-step explanation:
A dozen is 12, so multiply by two.
2.60 * 2 = $5.20
Answer:
5.20 for 12
Step-by-step explanation:
2.60 for 6
2.60*2=12
5.20 for 12
what is the solution to x^2 + 6x +7
Answer:
D) [tex]\frac{-6\pm\sqrt{8} }{2}[/tex]
Step-by-step explanation:
[tex]x^2+6x+7=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-6\pm\sqrt{6^2-4(1)(7)} }{2(1)}[/tex]
[tex]x=\frac{-6\pm\sqrt{36-28} }{2}[/tex]
[tex]x=\frac{-6\pm\sqrt{8} }{2}[/tex] <-- correct option but not simplified fully
[tex]x=\frac{-6\pm2\sqrt{2}}{2}[/tex]
[tex]x=-3\pm\sqrt{2}[/tex]
Identify the missing parts in the proof.
Given: ∠ABC is a right angle.
DB bisects ∠ABC.
Prove: m∠CBD = 45°
A:
B:
C:
D:
Answer:
The missing parts of the proof includes;
1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)
2) m∠CBD = m∠ABD (Definition of angle bisector)
3) m∠CBD + m∠ABD = m∠CBD + m∠CBD (Substitution property of equality)
Step-by-step explanation:
The given details of the proof are;
∠ABC is a right angle = 90°
Line DB is a bisector of ∠ABC
Therefore;
1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate
By the definition of angle bisector, we have;
The angles formed by line DB from ∠ABC are equal,
2) m∠CBD = m∠ABD by the definition of angle bisector
3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality
2 × m∠CBD = 90°
∴ m∠CBD = 90°/2 = 45°
Answer:
A: Given
B: measure the angle ABC = 90
C: angle addition postulate
D: 2 times the measure of angle CBD = 90
Step-by-step explanation:
Hope this helps <3
help help me please!!!
Answer:
it is 32
Step-by-step explanation:
the answer is 32 it is the answer
Answer:
32
Step-by-step explanation:
20% of 40 is 8
so 40-8=32
Can someone please help me? need this done ASAP!!!!
Answer:
They are not similar
Step-by-step explanation:
Angles dont match
Please help asap!! I will mark you as brainliest :)
Answer:
3, 0, -5, -6
Step-by-step explanation:
7)
when x= -8, f(x) = 8-5 or 3
when x= -5 f(x) = 5-5 or 0
when x= 0, f(x) = 0-5 or -5
when x=1, f(x) = -1-5 or -6
Select the correct answer.
What is in simplest form?
A. 8√4
B. 17√2
C. 4√ 17
D. 2√17
Find the equation with a line with slope 7
_
2 passing through the point (-2,9).
Answer:
y = 7/2 x+16
Step-by-step explanation:
The equation for a line is y = mx+b where m is the slope and b is the y intercept
y = 7/2 x+b
Substitute the point into the equation
9 = 7/2(-2)+b
9 = -7+b
9+7 = b
16 = b
y = 7/2 x+16
NEED HELP ASAP !!!! SOMEONE HELP ME
Answer:
A
Step-by-step explanation:
cos(71)x19=6.1
6.1 =6
Answer:
ladder is 20 feet long.So answer is option c.
Step-by-step explanation:
let the length of a ladder be x
take 71 degree as reference angle
using sin rule
sin 71 =opposite/hypotenuse
0.94=19/x
x=19/0.94
x=20.21
x=20 feet
Someone please help me ASAP!
Answer:
x + 1 y+1
Step-by-step explanation:
it translated 1 unit up the x axis and 1 unit y axis
Answer:
reflected across the y-axis and translated 1 to the right and 1 up
Step-by-step explanation:
ILL GIVE BRAINLIEST!!
Pam is looking for a new car. She has test-driven two cars but can only purchase one. The probability that she will purchase car A is 0.46, and the probability that she will purchase car B is 0.34. What is the probability that she will not purchase either car A or car B? (1 point)
The total of the two cars is 0.46 + 0.34 = 0.8
The total of all probabilities needs to equal 1
The probability of not buying either car is 1 - the sum of the two probabilities
1-0.8 = 0.20
The probability of not buying either car is 0.20
Allison measured her rectangular deck and found that it has dimensions of 5 1/2 yards by 8 yards. Both the length and the width may have a measurement error of up to 1/5%. What is the maximum possible area of Allison’s deck, rounded to the nearest thousandth of a square yard?
Answer:
yes
Step-by-step explanation:
work out 2/7 divided 7/8
Answer:
16/49
Step-by-step explanation:
2/ 7÷ 7/8
Copy dot flip
2/7 * 8/7
Multiply the numerators
2*8 =16
Multiply the denominators
7*7 = 49
numerator over denominator
16/49
Answer:
[tex]\frac{16}{49}[/tex]
Step-by-step explanation:
I need help or my math teacher will call my parents up about it and I will die
Answer:
113mm^2
Step-by-step explanation:
Firstly work out the area of the pink circle using πr^2, which is the area of a process.
So we do πx12^2, which gives us 144π mm we have to divide this by two to get half of a circle hence giving us the area of the semi-circle. 72π mm is the area of the semicircle.
Then we must find the area of the white circle to subtract it from our semicircle. Since we know the radius is 12 from the center to anywhere, we know that the white circles diameter is 12, using our formula for the area all we need to do is πx6^2. This gives us 36π.
72π - 36π = 36π
36π is equal to 113.0973355 and since we need it too 3sf it will be 113mm^2
its urgent please help ASAP ty!!
Answer:
the answer choices oh uhm I think i
What’s 1/2 + 1/3? Y’all please help me . And when or if you can give me the answer can you do step-by-step on how you did that so I can do it myself next time?
[tex]\longrightarrow{\green{\frac{5}{6}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{1}{2} + \frac{1}{3} [/tex]
Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.
The L. C. M for 2 and 3 is 6.
Now, multiply the L.C.M. with both numerator & denominator.
[tex] = \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} [/tex]
[tex]= \frac{3}{6} + \frac{2}{6} [/tex]
Now that the denominators are equal, we can add them.
[tex]= \frac{3 + 2}{6} \\ \\ = \frac{5}{6} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Help!’!!!!!!!!! And thanksss
Could someone please help me with this?
Answer:
Equal
Equal
Equal
Supplementary
Step-by-step explanation:
Just learn the angles tbh, you will need them in the future
answer plz plz plz plz plz
C. 270
Hope this helps! :)
Answer:
A.)90 degrees
Step-by-step explanation:
Which point would not be a solution to the system of linear inequalities shown below? y\ge x+5\hspace{50px}y\ge\frac{2}{3} x+6 y≥x+5y≥ 3 2 x+6 (12, 7) (-12, 1) (-12, 9) (-12, 6)
Answer:
(12,7) is not a solution
Step-by-step explanation:
Given
[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]
Required
Point that is not a solution
We have:
[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]
Substitute [tex]\frac{2}{3}x + 6[/tex] for y in the first inequality
[tex]\frac{2}{3}x + 6 \ge x + 5[/tex]
Collect like terms
[tex]\frac{2}{3}x - x \ge 5-6[/tex]
[tex]-\frac{1}{3}x \ge -1[/tex]
Solve for x (the inequality will change because we are to divide by a negative number_
[tex]x \le -1/-\frac{1}{3}[/tex]
[tex]x \le 3[/tex]
Without solving further, we can conclude that the first option is not a solution.
Because (12,7) implies that [tex]x =12[/tex]
Compare [tex]x =12[/tex] to [tex]x \le 3[/tex], then [tex]x \le 3[/tex] is false
When 9 is added to five times a number, we get 19. The number is
Answer:
the number is 2
Step-by-step explanation:
5x2=10+9=19
Please help quadratic equation!! 20 points
Answer:
x=4,−2
Step-by-step explanation:
Because Step 1. Move all terms to one side.
{x}^{2}-2x-8=0
x
2
−2x−8=0
2 Factor {x}^{2}-2x-8x
2
−2x−8.
1 Ask: Which two numbers add up to -2−2 and multiply to -8−8?
-4−4 and 22
Step 2. Rewrite the expression using the above.
(x-4)(x+2)
(x−4)(x+2)
and going to;
(x-4)(x+2)=0
(x−4)(x+2)=0
And Step 3. Solve for xx.
1 Ask: When will (x-4)(x+2)(x−4)(x+2) equal zero?
When x-4=0x−4=0 or x+2=0x+2=0
2 Solve each of the 2 equations above.
x=4,-2
x=4,−2
x=4,-2
Our Answer is:
x=4,−2
I Hope It's Helps
Answer:
2 and -4
tso numbers when added gives -2 and 8 incase it's not clear enough.
A new pair of Air Jordan's that sells for $150 decreases at a rate of 14% each year. Find the value of the shoes after 5 years (round to the nearest cent).
Answer:
$45
Step-by-step explanation:
If it looses it value of 14 % every year, by the end of 5 years, the value would go down by 70%. So, 150x0.7= 105, 150-105=45, so it would be. worth. 45% in 5 years.
Write an equation of the line that passes through (5,0) and is parallel to the line
y = -3x + 2
Answer:
y=-3x+15
is the equation that passes through the point (5,0) and is the parallel line to y=-3x+2
Step-by-step explanation:
find the slope of the original line and use the point-slope formula y-y₁=m(x-x₁) to find the parallel line of y=-3x+2, which if done correctly you should end up with y=-3x+15.
hope this helps
If there are 10 marbles in a bag 1/5 of them are red and the others are blue. What is the ratio of red marbles to blue marbles ?
Answer:
4:1
Step-by-step explanation:
We know 1/5 of the marbles are red.
There are 10 marbles.
1/5 is also 2/10, so:
2 of the 10 marbles are red.
To find the blue marbles, lets subtract the red marbles from the total marbles:
10-2=8
So 8 of the marbles are blue.
This is a ratio of 8 blue to 2 red marbles.
Or
4 blue to 1 red marbles.
This can be shown as:
4 : 1
Hope this helps!
