Answer:
8z - 1
Step-by-step explanation:
Given
3 + 4(2z - 1) ← multiply each term in the parenthesis by 4
= 3 + 8z - 4 ← collect like terms
= 8z - 1
Answer:
-1 + 8z
Step-by-step explanation:
First use the distributive property of multiplication (Just multiply 4 with all numbers in the parenthesis):
3 + 4(2z - 1)
3 + 8z - 4
Group like terms:
3 + 8z - 4
-1 + 8z
The answer is -1 + 8z
Hope this helped.
What connects a coefficient and a constant
Answer:
The variable
Step-by-step explanation:
write the factors of the following numbers 8
the factors of 8 are as follow:
1,2,4,8
Answer:
Factors of 8 are 1, 2, 4, and 8.
Step-by-step explanation:
hope it is helpful to you ☆☆
The population, P, of six towns with time t in years are given by the following exponential equations:
(i) P = 1000 (1.08) Superscript t (ii) P = 600 (1.12) Superscript t
(iii) P = 2500 (0.9) Superscript t (iv) P = 1200 (1.185) Superscript t
(v) P = 800 (0.78) Superscript t (vi) 2000 (0.99) Superscript t
Which town decreasing the fastest?
a.
ii
c.
iii
b.
v
d.
vi
Please select the best answer from the choices provided
A
B
C
D
Given:
The population, P, of six towns with time t in years are given by the following exponential equations:
(i) [tex]P=1000(1.08)^t[/tex]
(ii) [tex]P = 600 (1.12)^2[/tex]
(iii) [tex]P =2500 (0.9)^t[/tex]
(iv) [tex]P=1200 (1.185)^t[/tex]
(v) [tex]P=800 (0.78)^t[/tex]
(vi) [tex]P=2000 (0.99)^t[/tex]
To find:
The town whose population is decreasing the fastest.
Solution:
The general form of an exponential function is:
[tex]P(t)=ab^t[/tex]
Where, a is the initial value, b is the growth or decay factor.
If b>1, then the function is increasing and if 0<b<1, then the function is decreasing.
The values of b for six towns are 1.08, 1.12, 0.9, 1.185, 0.78, 0.99 respectively. The minimum value of b is 0.78, so the population of (v) town [tex]P=800 (0.78)^t[/tex] is decreasing the fastest.
Therefore, the correct option is b.
PLS HURRY I NEED THE ANSWER FAST
Answer:
16
notice how a right triangle was formed, and the Pythagorean theorem could be used to solve this :
a^2 + b^2 = c^2
a^2 + 15^2 = 17^2
a^2 + 225 = 289
a^2 = 64
a= 8
multiply it by 2 to get the side of the base
8 * 2 = 16
Please enter the missing number: 4, 5, 8, 17, 44, ?
Answer:
81
Step-by-step explanation:
from 4 to 5,the difference is 1 ,and when you multiply by 3, then add 3 to 5 ,it gives you 8 ,to get 17,I multiple 3by 3 and add the answer to 8 ,and the same continues upto when you get the final answer which is 81.
difference is just multiplying the previous difference with 3 and add it with the previous number .
Find "k" if a force of 10 Newtons produces an extension of 5 cm.
K = 5n/m
F=KE
K= F/E
= 10/5
K = 5n/m
Please help! For any positive numbers a, b, and, with b≠1, log b(a/d)
Answer:
B
Step-by-step explanation:
when logarithms of the same base (the base in this case is 'b') are being subtracted, divide the arguments ( 'a' and 'd')
plz help asap!!!¡!!!!
Pls help!! find the area of the shaded region.
Answer:
134.1
Step-by-step explanation:
Area of the circle = 49π = 153.9 (rounded to the nearest tenth)
Segment area,
49/2(150π/360-sin(150))
= 19.8 (rounded to the nearest tenth)
Subtracting them,
153.9-19.8
= 134.1 cm²
Answered by GAUTHMATH
The area of the shaded region is 134.1 cm²
What is a segment of a circle?
'A segment of a circle is the region that is bounded by an arc and a chord of the circle.'
According to the given problem,
Area of the circle = πr²
= π × 7 × 7 cm²
= 153.9 (rounded to the nearest tenth)
Area of the Shaded region,
= [tex]\frac{r^{2} }{2}( \frac{angle in degrees * \pi }{360 - sin(angle in degrees)} )[/tex]
=[tex]\frac{49}{2}(\frac{150\pi }{360 - sin(150)})[/tex]
= 19.8 (rounded to the nearest tenth)
Subtracting them,
= 153.9 - 19.8
= 134.1 cm²
Hence, we can conclude that the area of the shaded region is 134.1cm²
Learn more about segment of a circle here: https://brainly.com/question/4910703
#SPJ2
Find the value of f(x) at the given value of x: f(x) = (x -4)(x + 3), x = 3
Answer:
-6
Step-by-step explanation:
f(x)= (3- 4)(3+3)
=( -1 )(6)
= -6
Daniel buys a new car.
In the first year, the value of the car decreases by 12% of its original value.
The value of the car at the end of the first year is £9680.
(a) Work out the original value of the car.
The value of the car at the end of the first year is £9680.
In each of the second year, the third year, fourth year and the fifth year, the value of the car decreases by
x% of its value at the beginning of each year.
The value of the car at the end of the fifth year is £5000.
(b) Work out the value of x.
Give your answer correct to 3 significant figures.
Answer:
Step-by-step explanation:
Value of the car at the end of the first year = £9680
Depreciation = 12 %
Original price = £ x
If we reduce 12% of original price from x, we will get £9680
x - 12% of x = £ 9680
[tex]x-\frac{12}{100}x=9680\\\\\\\frac{88}{100}x=9680\\\\x=9680*\frac{100}{88}\\\\x = 11000[/tex]
Original price = £ 11000
PLS HELP ASAP!!!!!!!!!!!!!!!!
HELP ME !!!!!!
instruction given the quadrilateral ABCD inscribed in the circle, find x and y
The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚
So using theorem we find that
∠A+∠C = 180
x + 108 = 180
x = 180 - 108
x = 72
∠B+∠D = 180
88 + y = 180
y = 180 - 88
y = 92
Answered by Gauthmath must click thanks and mark brainliest
The required value of angle x and angle y is 72 and 92 respectively.
Given that,
A figure of the circle has been shown,
A quadrilateral is inscribed in the circle,
Angles in the quadrilateral are given as
∠A = x, ∠B = 82, ∠C = 108 and ∠y
The value of angles x and y is to be determined.
A quadrilateral is an irregular four-sided shape as given in the picture in question.
Since quadrilateral has a property that describes that the sum of opposite angle of the quadrilateral is 180°,
Here in the given quadrilateral sum of angle A + C and angle B + D is equal to 180.
⇒
∠A + ∠C = 180
∠A + 108 = 180
∠A = 72°
Similarly
∠B + ∠D = 180
88 + ∠D = 180
∠D = 92
Thus, the required value of angle x and angle y is 72 and 92 respectively.
Learn more about quadrilateral here: https://brainly.com/question/13805601
#SPJ5
What is the slope of the line in the graph?
convert the rational number into an equivalent rational number with the given numerator 3/5=12/□
plz give me answer fastly and don't snap
Answer:
3/5
=3*4/5*4
=12/20
I hope this will help.
Answer:12/20
Step-by-step explanation:
HELP ME PLEASE I NEED HELP
Consider the end behavior of the function g(x) = 4|x − 2| − 3.
As x approaches negative infinity, f(x) approaches POSITIVE OR NEGATIVE infinity.
As x approaches positive infinity, f(x) approaches POSITIVE OR NEGATIVE infinity.
Answer:
Step-by-step explanation:
This is a narrower-than-normal absolute value graph, which is a v-shaped graph. It's pointy part, the vertex, lies at (2, -3) and it opens upwards without bounds along both the positive and negative x axes. Therefore, as x approaches negative infinity, f(x) or y (same thing) approaches positive infinity. As x approaches positive infinity, f(x) approaches positive infinity.
State the slope of the line shown below (help ASAP)
Is it a, b, c or d?
Answer:
D
Step-by-step explanation:
(the above graph depicts a horizontal line that intersects the y axis at -2)
(so, y = -2)
Answer:
0
Step-by-step explanation:
Horizontal line x axis is 0 while the vertical y axis is undefined.
Step by step solution
Answer:
b is correct answer
Step-by-step explanation:
when we write logarithmic terms we change the result from number which is power of 3
A changes
16. By accident, 6 burned out bulbs have been mixed in with 16 good ones, Ken is replacing old bulbs in his house. If he selects two bulbs at random from the box of 22, what is the
probability they both work?
Answer: 8/11
Step-by-step explanation:
This is because there are a total of 22 bulbs. 16 of those bulbs work, giving us the fraction: 16/22. If you simplify 16/22 by dividing the numerator and denominator by 2, you get 8/11.
=================================================
Explanation:
There are 16 working bulbs out of 6+16 = 22 bulbs total.
The probability of randomly selecting a working bulb is 16/22
After that first bulb is selected and not put back, the probability of randomly selecting another working bulb is 15/21. Take note that I subtracted 1 from each part of the original fraction.
So we get the answer of
(16/22)*(15/21) = 240/462 = 40/77 which is choice C.
------------
Extra info:
Choice A is only true if Ken puts the first selection back. You would compute (16/22)*(16/22) = 64/121. However, it sounds like he's not doing replacement. So whatever is selected is not put back. This is why I ruled out choice A.Choice B is ruled out as well because 16/22 = 8/11 refers to the probability of one working bulb (instead of 2 in a row)It's not clear how the fraction of choice D is formed, but we can rule it out because choice C is the answer.Graph the image of each figure under the given translation
Answer:
zzzzzZzzzzzzzzzzzzzzzzz zzz-zzzZzzzzzzzz
Step-by-step explanation:
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
factor as the product of two binomials x2+6x-7
Answer:
(x-1)(x+7)
Step-by-step explanation:
did it on a test and got it right :))
Is the answer option c?
Answer:
No it isnt corret answer.
Answer: Choice D
Explanation:
Recall that the quadrants are labeled such that Q1 (shorthand for quadrant 1) is in the upper right corner. Then we have Q2 in the upper left corner. We work counterclockwise around as shown in the diagram below.
Therefore, the curve is found in Q1 and Q3
Maya asked 8 students how many courses they have taken so far at her college. Here is the list of answers.
12, 24, 9, 19, 24, 5, 17, 21
What is the percentage of these students who have taken fewer than 19 courses?
Answer:
50%
Step-by-step explanation:
The question asks who has taken fewer than 19 courses.
So first we look at how many are fewer than 19.
There are 4 that are fewer than 19: 12, 9, 5, 17
So.. 4/8 (8 is the total number of options)
To find the percentage you...
-1 1/4 × -4/5+1/4÷3
5/9×1/11+5/9×4/11-5/9×14/11
Answer:/11-5/9×14/11
Step-by-step explanation:
-4/5+1/4÷3
Help plz and thanks
Answer:
6b
Step-by-step explanation:
I need help by 9:30!!! Please help! I would GREATLY appreciate it!!!!!
I have two questions:
1. Which is larger: a or -a
if a > 0 = a___-a
if a = 0. = a___-a
if a < 0 = a___-a
2. Which is larger: 1/a or 1/2a
if a > 0 = 1/a___1/2a
if a < 0 = 1/a___1/2a
Answer:
1. a>-a
EXAMPLE: 5>-5
2. a=-a
3. a<-a
EXAMPLE: -3<--3 = -3<3
Step-by-step explanation:
For his long distance phone service, tony pays $3 monthly fees plus 11 cents per minute. Last month, Tony's long distance bill was $22.03. For how many minutes was tony billed
Answer:
173 minutes
Step-by-step explanation:
Total fees= monthly fees + $0.11(number of minutes)
$22.03= $3 +$0.11(number of minutes)
$0.11(number of minutes)
= $22.03 -$3
= $19.03
= 1903¢
11¢ (number of minutes)= 1903¢
Number of minutes
= 1903¢ ÷11¢
= 173
Thus, Tony was billed for 173 minutes.
Find the area of the bolded outlined sector.
Outlined sector:
2 πr x 225/360 +2r
=2x3.14x10 x 225/360 +20
=59.25 cm
Hope this helped!
Two numbers have a difference of 42 and a quotient of −6. What are the two numbers?
Answer:
32is the answer to yours questions
An airplane is descending as it approaches the airport. If the angle of depression from the plane to the ground is 7 degrees and the plane is 2,000 feet above the ground, what is the distance from the plane to the airport?
Answer:
The distance from the plane to the airport is around 245.57 feet.
Step-by-step explanation:
Angle of depression = 7 degrees
Height (Vertical portion of a right-angle triangle) = 2,000 feet
We are looking for the base of the right-angle triangle, which represents the distance from the plane to the airport. Therefore, we must use SOH or CAH or TOA to help us determine the length of the base. In this case, it is most convenient to use TOA:
tanΘ=[tex]\frac{Opposite}{Adjacent}[/tex]
Rearrange the equation to solve for 'Opposite':
Opposite=(tanΘ)(Adjacent)
Opposite=(tan[7])(2,000)
Opposite=0.12278456*2,000
Opposite=245.5691218 feet
Thus, the distance from the plane to the airport is around 245.57 feet.
