Answer:
y = 32,000(1.08)^x
Step-by-step explanation:
The exponential growth equation is y = a(1 + r)^x, where a is the initial amount, r is rate as a decimal, and x is the time.
In this situation, 32,000 is the initial amount (a) and 0.08 is the rate (r)
If we plug these into the equation, we get the equation y = 32,000(1.08)^x
So, y = 32,000(1.08)^x is the correct answer.
Answer:
A
Step-by-step explanation:
on edge 2020
A man traveled to his country home, a distance of 150 miles and then back. His average rate of speed going was 50 miles an hour and his average return speed was 30 miles per hour. His average rate of speed for the entire trip was Need help will mark brainlist
Answer:
37.5 mi/h
Step-by-step explanation:
time = distance / speed
On the trip 'going', the time was (150 mi)/(50 mi/h) = 3 h.
On the return trip, the time was (150 mi)/(30 mi/h) = 5 h.
__
speed = distance / time
The average speed for the whole trip was ...
speed = (150 mi +150 mi)/(3 h +5 h) = (300 mi)/(8 h) = 37.5 mi/h
His average rate of speed was 37.5 miles per hour.
solve for z -0.25z= -1.25
Answer:
z = 5Step-by-step explanation:
-0.25z= -1.25
Convert the decimals to improper fractions
That's
[tex] - 1.25 = - \frac{5}{4} [/tex][tex] - 0.25 = - \frac{1}{4} [/tex]So we have
[tex] - \frac{1}{4} z = - \frac{5}{4} [/tex]Multiply through by 4
We have
- z = - 5
Divide both sides by - 1
the final answer is
z = 5Hope this helps you
Answer:
[tex] \boxed{ \bold{ \purple{z = 5}}}[/tex]Step-by-step explanation:
[tex] \mathsf{ - 0.25z = - 1.25}[/tex]
Divide both sides of the equation by -0.25
[tex] \mathsf{ \frac{ - 0.25z}{ - 0.25} = \frac{ - 1.25}{ - 0.25} }[/tex]
Calculate
[tex] \mathsf{z = 5}[/tex]
Hope I helped !
Best regards!
42°
Х
please help with this
Answer:
X=48degrees.
Step-by-step explanation:
Sum of all angle of traingle=180degrees.
So, 90+42+X=180
132+X=180
X=180-132=48degrees
1. Solve each equation.
a. 5x – 2=8
b. 4x – 3= 2x + 9
C. 6x + 3 = 2x + 8
And show work
Answer:
a. 5×=8+2
5×=10
b. 4×-2×=9+3
2×=13
c. 6×-2×=8-3
4×=5
What is the solution set of { x | x <-5} n { x | x >5 }? Help needed!
Answer:
The Empty set............
Answer:
There is no solution for the intersection of these two sets, as they do not intersect! They don't have any numbers in common and thus form an empty set. The correct answer choice is option D. the empty set.
Step-by-step explanation:
The solution for { x | x <-5} is ---> x < -5
The solution for { x | x >5 } is ---> x > 5
If you placed the two sets on a number line close to each other, you would see that they do not intersect. Thus there is no solution for the intersection of set A and set B as defined in the given problem.
See the graph for better understanding. You see how there's an empty space or area between -5 and 5? Yeah, this is called the empty set which is option D from your answer choices.
At dinner, 100 students pass through the cafeteria line and were served meals. 40 fish entrees and 60 pasta entrees were served to the students. A total of 20 students chose neither entree. Assuming all students were served zero, one, or two entrees, how many students were served two entrees
Answer: 20
Step-by-step explanation:
Given: Total students at the dinner = 100
Number of fish entrees = 40
Number of pasta entrees = 60
Number of students chose neither entree = 20
Now , Number of students chose either fish or pasta = (Total students) - (Number of students chose neither entree)
= 100-20
= 80
Now , Number of students chose either fish or pasta = (Number of fish entrees) + (Number of pasta entrees)- (Number of students chose both)
⇒ Number of students chose both = (Number of fish entrees) +(Number of pasta entrees)-(Number of students chose either fish or pasta)
= 40+60-80
= 20
Hence, the number of students were served two entrees = 20
20 students were served two entrees.
Given,
total student pass through cafeteria line and were served meal is 100.
No. of students choose fish entries is 40.
No. of students choose pasta entrees is 60.
No. of student choose neither entree is 20.
We have to calculate the no. of students served two entrees.
Now Number of students chose either fish or pasta will be,
[tex]N=100-20[/tex]
[tex]N=80[/tex]
Now no. of students choose both will be,
[tex]N=(fish\ entree+\ pasta \ entree )-Entree\ either \ pasta \ or \ fish[/tex]
[tex]N=60+40-80[/tex]
[tex]N=20[/tex]
Hence 20 students were served two entrees.
For more details follow the link:
https://brainly.com/question/24550771
3. If triangle ABC has the following measurements, find the measure of angle A.
a = 17
b = 21
C = 25
9514 1404 393
Answer:
(a) 42.3°
Step-by-step explanation:
Side 'a' is the shortest of three unequal sides, so angle A will be the smallest angle in the triangle. Its measure can be found from the Law of Cosines.
a² = b² +c² -2bc·cos(A)
cos(A) = (b² +c² -a²)/(2bc) = (21² +25² -17²)/(2·21·25) = 777/1050
A = arccos(777/1050) ≈ 42.3°
The measure of angle A is about 42.3°.
_____
Additional comment
The smallest angle in a triangle can never be greater than 60°. This lets you eliminate choices that exceed that value.
Answer:
(a) 42.3°
Step-by-step explanation:
help meh please I'm bad at math
Answer:
4050 cubic feet
Step-by-step explanation:
We would break this figure down into the square pyramid on the top and the cube on the bottom.
Volume of the cube:
l*w*h
= 15*15*15
= 3375.
Volume of the square pyramid:
a^2*(h/3)
= 15^2*(9/3)
= 225*3
= 675
Now we add the two to get the final answer:
3375+675=4050
The figure is 4050 cubic feet.
I hope this helped! :D
Answer:
Step-by-step explanation:
Cube:
Volume = length x width x height
V = 15 * 15 * 15
(Simplified version): 15³
V = 3,375ft³
Triangle:
Volume = 1/2 * base * height * length
V = 1/2 * 15 * 9 * 15
V = 1,012ft³
Add them both up to get our answer
3,375ft³ + 1,102ft³
4,477ft³
Therefore the volume of the figure is 4,477ft³
The altitude a
(in feet) of a plane i minutes after liftoff is given by
a = 34001 + 600. How many minutes
after liftoff is the plane
at an altitude of
21.000 feet?
Answer:
Step-by-step explanation:
a=3400t+600, we put in 21,000 for a. Because we have to find 't' when 'a' is 21,000.
which will give us 21,000 = 3400t+600.
Then,Subtract 600 to both sides to get 20,400 = 3400t
Divide both sides by 3,400 and you get 6 = t.
The ans is 6 minutes. The plane will take 6 min to reach the altitude 21,000 feet
Which graph represents a function?
Answer:
The first Answer:
Step-by-step explanation:
The x-values are not the same on one line:
Image
The line connecting isn't perfect but see what I mean?
Help me please.No spammmers.
Answer:
C
Step-by-step explanation:
cot =cos/sin =a/b
cos=a/b*sin
(sin-cos)/(sin+cos) =(sin-sin*a/b)(sin+sin*a/b)
=(1-a/b)/(a+a/b)
=(b-a)/(a+b)
Factorise sin²A-5 sinA+6
Answer:
sin²A-5 sinA+6
=sin²A-(3+2)sinA+6
=sin²A-3sinA-2sinA+6
=sinA(SinA-3)-2(sinA-3)
=(sinA-2) (sinA-3)
hope this help you
Answer:
sin²A-5 sinA+6
=sin²A-(3+2)sinA+6
=sin²A-3sinA-2sinA+6
=sinA(SinA-3)-2(sinA-3)
=(sinA-2) (sinA-3)
Part E how do I solve
Answer:
the triangles are congruent by SSS criterion
Step-by-step explanation:
The area of a square of side 2.4 cm is
Answer:
area of cube = a^2 ( a is side)
2.4^2 = 5.76 cm^2
Answer:
5.76 cm^2
Step-by-step explanation:
Hey there!
Well if the side length is 2.4 cm then the area would be,
A = l•l
A = 2.4 • 2.4
A = 5.76cm^2
Hope this helps :)
I REALLY NEED HELP WITH THESE 5 QUESTIONS!!!!!!!!!
Answer:
is -5,-3
Step-by-step explanation:
set up the tablet and done
please help!!! which of these illustrates the associative property of multiplication?
Answer:
B
Step-by-step explanation:
The association property of multiplication states that if we have three numbers such as:
[tex]a\cdot b\cdot c[/tex]
Then the order of parentheses will not matter. In other words:
[tex](a\cdot b)\cdot c=a\cdot (b\cdot c)[/tex]
For instance:
[tex](3\cdot4)\cdot5=3\cdot(4\cdot5)[/tex]
For the choices, it must have at least three terms. Thus, eliminate A.
It must also have parentheses. Eliminate D.
Choice C represents the distributive property, where you distribute a factor into the expression.
Thus, the correct answer is choice B.
And as previously mentioned, the order of the parentheses does not make the product any different.
[tex]6*(9*1)=6*(9)=54\\(6*9)*1=(54)*1=54[/tex]
Answer:
The correct answer choice is B.
Step-by-step explanation:
The digits should still be in order, so A is incorrect. 6 * 91 does not even equal 69 * 1!
B shows that be can multiply 6 * 9 * 1 in any order. This means we can place a pair of parentheses around any of these numbers and the answer will still be the same.
C is incorrect. We want an equation that helps give us a better understanding of MULTIPLICATION, not ADDITION. The equation is also false.
Finally, D illustrates the commutative property of multiplication- you can multiply your numbers in any order and it will still have the same value. Put simply, it's incorrect.
Let me know if you need more elaboration!
Pls someone explain this to me
Thank u.
Answer:
a) a= 60
c) a= 135
d) a= 40
f) a= 115
g) a= 37
i) a= 130
Step-by-step explanation:
If you see a little square at the angle, this means that the angle is a right angle, which means that it is 90°.
Let's look at Q5a.
a) a° +30°= 90°
a°= 90° -30°
a°= 60°
a=60
Questions 5b has the same concept.
The sum of the angles on a straight line is 180°. The abbreviation used for this is (adj. ∠s on a str. line).
Let's look at Q5c.
c) a° +45°= 180° (adj. ∠s on a str. line)
a°= 180° -45°
a°= 135°
a= 135
Question 5d uses the same concept too.
Let's look at Q5d.
d) 90° +50° +a°= 180° (adj. ∠s on a str. line)
a°= 180° -90° -50°
a°= 40°
a= 40
Vertically opposite angles are equal. The abbreviation written for this is (vert. opp. ∠s).
Use this for questions 5f and 5g.
f) a°= 115° (vert. opp. ∠s)
a= 115
g) a°= 37°
a= 37
The sum of angles on a point is 360°. This will help you solve questions 5h and 5i.
i) 140° +90° +a° = 360° (∠s at a point)
a° +230°= 360°
a°= 360° -230°
a°= 130°
a= 130
5/14, 7/10, 5/6, 11/15, 19/2
Answer:
5/14 = 0.36
7/10 = 0.7
5/6 = 0.83
11/15 = 0.73
19/21 = 0.9
(round to the tenth)
so the answer is;
5/14, 7/10, 11/15, 5/6, 19/21
Step-by-step explanation:
Hope it helps!
A player has 15 hits in 34 times at bat and then gets
another hit. Did the batting average increase? Explain.
Answer:
yes, his batting average will increase bcz average of a batsmen is the sum of total hits per ball.
find a number which is when added to it's square the sum will be 72.
Answer 8
8+8²=72
8+64=72
72=72
please click thanks and mark brainliest if you like :)
a number is multiplied by 5 and the results is twice the number added to 2 find the number
Answer:
5x=2x+2
3x=2
X=2/3
Hope this helps ФωФ
At 10:05 a.m., there are 2 microscopic bacteria cells in the bottle. How many cells will be in the bottle at 10:15 a.m.? A. 2 B. 4 C. 8 D. 16
Answer: C. 8
At 10:15 a.m., there are 8 cells in the bottle.
Step-by-step explanation:
Answer:
At 10.15 there will be 8 cells
Step-by-step explanation:
A school organised a farewell party of 100 students and school managementn decided three types of drinks distribute in the party
The answer is
i) - c
ii) - b
iii) - b
iv) - a
v) - d
how many are 8 raised to 4 ???
The volume of a rectangular prism is the product of its dimensions. If the dimensions of a rectangular prism are
approximately 1.08 feet, 5.25 feet, and 3.3 feet, what is the approximate volume of the cube? Express your answer
using an appropriate level of accuracy.
Answer:
Hey there!
Volume of a rectangular prism: length (width) (height).
Volume: 1.08 (5.25) (3.3), or 18.71100.
However, because 3.3 is only two significant figures, we round our answer to: 19.
Hope this helps :)
Answer:
18.7 ft^3
Step-by-step explanation:
The volume is the product of the dimensions of the cube:
V = L*W*H, where L and W represent the length and width respectively.
Here,
V = (1.08 ft)(5.25 ft)(3.3 ft) = 18.7 ft^3, which is to 1 decimal place, because the least accurate dimension is also to 1 decimal place.
Help I don’t get this
Directions: Write rack of the following statements using a symbolic language.
2. A number is four times larger than the square of half the number.
3. Steven has some money. If he spends $9.00, then he will have of the amount he started with.
4
The sum of a number squared and three less than twice the number is 129.
5. Miriam read a book with an unknown number of pages. The first week, she read five less than of the pages. The
second week, she read 171 more pages and finished the book. Write an equation that represents the total number
of pages in the book
Answer:
2.)4n>(n/2)^2
3. (The problem isn't clear)
4.)n^2+2n-3=129
5.)n-5=171
Step-by-step explanation:
2.)
4n(four times the number) >(larger than) (n/2)^2 (half the number squared)
4.)
Sum=addition
n^2 (number squared) +2n (twice the number)-3=129
5.)
N(unknown number of pages) -5(amount of pages already read)= 171(the number of pages it took her to finish)
i promise i will mark as brainiest
The length of a rectangle is represented by the function L(x) = 4x. The width of that same rectangle is represented by the function W(x) = 7x2 − 4x + 2. Which of the following shows the area of the rectangle in terms of x? (L + W)(x) = 7x2 + 2 (L + W)(x) = 7x2 − 8x + 2 (L • W)(x) = 28x3 − 16x2 + 8x (L • W)(x) = 28x3 − 4x + 2
Answer:
(L ⋅ W)(x) = 28x3 − 16x2 + 8x
Step-by-step explanation:
I took the test hope it helps :3
The area of the rectangle is (L · W) (x) = 28x³ - 16x² + 8x. Thus, the correct option is C.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
Given the length of the rectangle is L(x)=4x, and the width is W(x)=7x²-4x+2. Therefore, the area of the rectangle in terms of x is,
L(x)×W(x) = 4x × (7x²-4x+2)
(L · W) (x) = 28x³ - 16x² + 8x
Hence, the area of the rectangle is (L · W) (x) = 28x³ - 16x² + 8x. Thus, the correct option is C.
Learn more about the Area:
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What effect will replacing x with (x – 7)have on the graph of the equation y = = (x + 4)??
A. slides the graph 3 units down
B. slides the graph 3 units up
C. slides the graph 7 units right
D. slides the graph 3 units right
Answer:
D
Step-by-step explanation:
When you graph the first equation y = (x + 4) it will have a x-intercept of -4 and a y-intercept of 4.
When you replace x with (x-7) the equation will be converted into
y = ((x-7)+4)
y = x-3
When you graph this you see it has a x-intercept of 3 and a y-intercept of -3
To find the distance add the 2 x values together:
-4 + (-3) = ?
-4 -3 = ?
-7 = ?
Therefore the graph will shift units right
Match each quadratic equation with its solution set.
Answer:
2x²-32 ⇒ x²=16⇒ (-4,4)
4x²-100 ⇒x²=25 ⇒(-5,5)
x²-55=9 ⇒x²=64 ⇒(-8,8)
x²-140=-19 ⇒x²=121 ⇒(-11,11)
2x²-18=0 ⇒x²=9 ⇒(-3,3)
Answer:
2x^2-32 = 0 ===> (-4,4)4x^2 -100=0 ===> (-5,5)x^2 -55=9 ==>(-8, 8)x^2-140= -19 ===>(-11 ,11)Step-by-step explanation: Further explanation
[tex]2x^2-32=0\\\\\mathrm{Add\:}32\mathrm{\:to\:both\:sides}\\\\2x^2-32+32=0+32\\\\2x^2=32\\\\\frac{2x^2}{2}=\frac{32}{2}\\\\\mathrm{For\:}x^2=f\left(a\right)\\\\\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{16},\:x=-\sqrt{16}\\\\x=\sqrt{16},\:x=-\sqrt{16}\\x=4,\:x=-4[/tex]
[tex]4x^2-100=0\\\mathrm{Add\:}100\mathrm{\:to\:both\:sides}\\4x^2-100+100=0+100\\4x^2=100\\\frac{4x^2}{4}=\frac{100}{4}\\x^2=25\\\mathrm{For\:}x^2=f\left(a\right)\\\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\x=\sqrt{25},\:x=-\sqrt{25}\\\\x=5,\:x=-5[/tex]
[tex]x^2-140=-19\\x^2-140+140=-19+140\\x^2=121\\\mathrm{For\:}x^2=f\left(a\right)\\\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\x=\sqrt{121},\:x=-\sqrt{121}\\x=11,\:x=-11[/tex]
[tex]x^2-55=9\\x^2-55+55=9+55\\x^2=64\\\mathrm{For\:}x^2=f\left(a\right)\\\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\x=\sqrt{64},\:x=-\sqrt{64}\\x=8,\:x=-8\\[/tex]
[tex]2x^2-18=0\\2x^2-18+18=0+18\\2x^2=18\\\frac{2x^2}{2}=\frac{18}{2}\\x^2=9\\\mathrm{For\:}x^2=f\left(a\right)\\\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\x=\sqrt{9},\:x=-\sqrt{9}\\x=3,\:x=-3[/tex]