Help i will give you 15 pints for this and a thanks and brainliest and friend u
1 answer:
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Answer: a = 4, b = 163,422
<u>Step-by-step explanation:</u>
P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.
Part a) What do we know?
P = 7003
P₀ = unknown
k = .21 <em>(converted 21% into a decimal)</em>
t = 36 yrs <em>(2006 - 1970) </em>
<em>need to solve for P₀</em>
7003 = P₀ (1920)
3.6 = P₀
rounded to the nearest whole number = 4
Part b) What do we know?
P = unknown
P₀ = 7003
k = .21 <em>(converted 21% into a decimal)</em>
t = 15 yrs <em>(2021 - 2006) </em>
<em>need to solve for P₀</em>
P = 7003(23.33)
P = 163,422.46
rounded to the nearest whole number = 163,422
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Answer: 2, -1
<u>Step-by-step explanation:</u>
eˣ² = eˣ * e²
eˣ² = eˣ⁺²
x² = x + 2
x² - x - 2 = 0
(x - 2)(x + 1) = 0
x - 2 = 0 or x + 1 = 0
x = 2 or x = -1
Check both answer for validity:
eˣ² = eˣ⁺²
e⁴ = e⁴ or e¹ = e¹
TRUE TRUE
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Answer: 0 = ln 1
<u>Step-by-step explanation:</u>
-10 = ln 1 - 10 <em>log rules say division is subtraction</em>
0 = ln 1
Answer:
No, the student's work is not correct.
Step-by-step explanation:
Given : Student expanded an expression, as shown.
To find : Is the student's work correct?
Solution :
The expansion of student is not correct.
Follow the below steps to get correct solution and student mistake,
Step 1 - Write the expression,
Step 2 - Apply distributive property,
Step 3 - Solve,
The student was mistaken in step 2 in solving the sign.
Answer:
(a) AH < HC is No
(b) AH < AC is Yes
(c) △AHC ≅ △AHB is Yes
Step-by-step explanation:
Given
See attachment for triangle
Solving (a): AH < HC
Line AH divides the triangle into two equal right-angled triangles which are: ABH and ACH (both right-angled at H).
To get the lengths of AH and HC, we need to first determine the measure of angles HAC and ACH. The largest of those angles will determine the longest of AH and HC. Since the measure of the angles are unknown, then we can not say for sure that AH < HC because the possible relationship between both lines are: AH < HC, AH = HC and AH > HC
Hence: AH < HC is No
Solving (b): AH < AC
Length AC represents the hypotenuse of triangle ACH, hence it is the longest length of ACH.
This means that:
AH < AC is Yes
Solving (c): △AHC ≅ △AHB
This has been addresed in (a);
Hence:
△AHC ≅ △AHB is Yes
