Given:
Growth rate = 30% decrease
To find:
The growth factor associated with the given growth rate.
Solution:
The general exponential function is:
[tex]y=a(1+r)^x[/tex]
[tex]y=a(b)^x[/tex]
Where, a is the initial value, r is the growth rate in decimal and [tex]b=1+r[/tex] is the growth factor.
It is given that the growth rate is 30% decrease. So,
[tex]r=-30\%[/tex]
[tex]r=-\dfrac{30}{100}[/tex]
[tex]r=-0.3[/tex]
Now,
[tex]b=1+r[/tex]
[tex]b=1+(-0.3)[/tex]
[tex]b=1-0.3[/tex]
[tex]b=0.7[/tex]
Therefore, the growth factor is 0.7.
sara is painting her house. to paint the second floor, she needs to lean her 15 foot ladder against her house to reach a point that is 11 feet above the ground
A) What is the angle of elevation that Sara's ladder will form with the ground?
B) How far from the base of the house should Sarah place the base of her ladder?
For A)
arcsin(11/15)=angle of elevation
47.17=angle of elevation
For B)
tan(47.17)=11/x
11/tan(47.17)=x
10.2=x
Select the correct answer.
For which system of inequalities is (3,-7) a solution?
A.
x + y < -4
3x + 2y < -5
B.
x + y ≤ -4
3x + 2y < -5
C.
x + y < -4
3x + 2y ≤ -5
D.
x + y ≤ -4
3x + 2y ≤ -5
Answer:
D
Step-by-step explanation:
3 - 7 = -4 and 3(3) + 2(-7) = -5, so D is the only choice that is correct for both inequalities.
Find the largest negative integer of p for the equation 4x^2 + 8 = px to have real roots?
Step-by-step explanation:
my answer is in the image above
p has to be greater than or equal to 8 root 2
Please help I’ll give brainllist
Answer:
TRUE
Step-by-step explanation:
TRUEAnswer:
true i think
Step-by-step explanation:
Find the length of the hypotenuse to the nearest tenth. (example 4.5)
7
2

Answer:
hypotenuse = 7.3
Step-by-step explanation:
the length two legs of the given triangle are 7 and 2 respectively.
using pythagoras theorem
a^2 + b^2 = c^2
7^2 + 2^2 = c^2
49 + 4 = c^2
53 = c^2
[tex]\sqrt{53}[/tex] = c
7.3 = c
Of the marbles in a bag, 4 are yellow , 4 are white , and 5 are green . Sandra will randomly choose one marble from the bag. Fill in the blanks in parts a and b. The probability that Sandra will choose a marble from the bag is
Answer:
Probability[Random choose marble is green] = 5 / 13
Step-by-step explanation:
Given:
Number of yellow marble in bag = 4
Number of white marble in bag = 4
Number of green marble in bag = 5
Find:
Probability[Random choose marble is green]
Computation:
Probability of an event = Number of favourable outcome / Number of total outcome
Probability[Random choose marble is green] = 5 / [4 + 4 + 5]
Probability[Random choose marble is green] = 5 / 13
please put the math too I really need it ;)
Answer:1) 32. 2). 3) 21. 4) 4
Step-by-step explanation: 1) 4*8=32m, 2) I don't know, 3) 6*7=42 for the area of a square but since a triangle half it so its 21, An the last is by 4 for example 4*10=40 but if doubled its 20*8 and that equals 160. and 160/40=4
Find the surface area.
_____ square inches
Answer:
the surface area of cylinder is 1733.28 inches²
hope it helps
have a nice day
okay so, hey my name is natalie. i don't have my phone and id love to communicate with any of yall, feel free to take some points and introduce your self. :)
Find the volume of this sphere.
Use 3 for 7.
3
V~ [?]ft
V = Tr3
( 2 ft
Answer:
32 ft³
Step-by-step explanation:
put r= 2 ft
V= 4/3x 3 X 2³
V= 32 ft³
I got this answer with help form Gauthmath App you can check out the app on Play Store and App store.
Put these numbers in order from least to greatest.
0.48,0.73, and 3/10
Answer:
[tex]\frac{3}{10} , 0.48 , 0.73[/tex]
Step-by-step explanation:
In order to put this number in order from least to greatest, we have to turn them into fractions with the same denominator, so firstly we write down all of the decimals as fractions, and we will get...
[tex]0.48 = \frac{48}{100} \\\\0.73 = \frac{73}{100}[/tex]
Now, we need to find the smallest number that is divisible by 100 and by 10, and this number will be the least common denominator. The smallest number that is divisible by 100 and by 10 is 100, therefore 100 is the least common denominator. Now we have to make all of the fractions have the denominator of 100 and we do that in the following way...
[tex]\frac{48}{100}= \frac{48}{100}\\\\\frac{73}{100} = \frac{73}{100}\\\\\frac{3}{10} = \frac{(3)(10)}{(10)(10)} = \frac{30}{100}[/tex]
By looking at this we need to understand that...
[tex]\frac{30}{100}<\frac{48}{100}<\frac{73}{100}[/tex]
Therefore...
[tex]\frac{3}{10} < 0.48 < 0.73[/tex]
A(n) ______________ is the act of uniformly turning in a clockwise or counter-clockwise direction around a center point.
Answer Choices:
Dilation
Translation
Reflection
Rotation
please help me with this :)
Answer: 103 degrees
Step-by-step explanation: all angle of a regular triangle always add up to 180. so 62+15=77. and 180 - 77= 103
Answer:
A. 103 degrees
Step-by-step explanation:
In a triangle, the sum of angle measures is equal to 180 degrees, so by adding 62 & 15, & subtracting it from 180 you get the third angle measure of 103.
b) Show that the points (1,1), (-1,-1) and ( -root3, root 3 ) are the vertices of an equilateral triangle.
Given:
The vertices of a triangle are [tex](1,1),(-1,-1),(-\sqrt{3},\sqrt{3})[/tex].
To prove:
The given vertices are the vertices of an equilateral triangle.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let the vertices of the triangle are [tex]A(1,1),B(-1,-1),C(-\sqrt{3},\sqrt{3})[/tex]. Then, by using the distance formula, we get
[tex]AB=\sqrt{(-1-1)^2+(-1-1)^2}[/tex]
[tex]AB=\sqrt{(-2)^2+(-2)^2}[/tex]
[tex]AB=\sqrt{4+4}[/tex]
[tex]AB=\sqrt{8}[/tex]
Similarly,
[tex]BC=\sqrt{(-\sqrt{3}-(-1))^2+(\sqrt{3}-(-1))^2}[/tex]
[tex]BC=\sqrt{(1-\sqrt{3})^2+(1+\sqrt{3})^2}[/tex]
[tex]BC=\sqrt{(1)^2+(\sqrt{3})^2-2\sqrt{3}+(1)^2+(\sqrt{3})^2+2\sqrt{3}}[/tex]
[tex]BC=\sqrt{1+3+1+3}[/tex]
[tex]BC=\sqrt{8}[/tex]
And,
[tex]CA=\sqrt{(1-(-\sqrt{3}))^2+(1-\sqrt{3})^2}[/tex]
[tex]CA=\sqrt{(1+\sqrt{3}))^2+(1-\sqrt{3})^2}[/tex]
[tex]CA=\sqrt{(1)^2+(\sqrt{3})^2+2\sqrt{3}+(1)^2+(\sqrt{3})^2-2\sqrt{3}}[/tex]
[tex]CA=\sqrt{1+3+1+3}[/tex]
[tex]CA=\sqrt{8}[/tex]
Clearly, [tex]AB=BC=CA[/tex].
Since all sides of the given triangle are equal, therefore the given vertices are the vertices of an equilateral triangle.
Hence proved.
i need help again and can smb help me with the whole study guide pls !
Answer:
d bro. pay attention at order of triangle's vertices
This is the last question from my hw
Answer:
m = 9, n = 2
Step-by-step explanation:
Find [tex]f^{-1}[/tex] (x) by letting y = f(x) and rearranging making x the subject, that is
y = mx + n ( subtract n from both sides )
y - n = mx ( divide both sides by m )
[tex]\frac{y-n}{m}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = [tex]\frac{x-n}{m}[/tex]
Given [tex]f^{-1}[/tex] (x) = g(x) , then
[tex]\frac{x-n}{m}[/tex] = [tex]\frac{x-2}{9}[/tex]
By comparison of the 2 sides
m = 9 and n = 2
Charlie withdraws cash from an ATM that is not his own bank’s 3 times a month. He pays $1.50 per transaction. If this pattern is consistent across a year, what will his yearly cost be?
Answer:
If I understand this right, the answer is $48.00
Step-by-step explanation:
If they pay $1.50 three times a month just times $1.50 by 12 because there are 12 days in a month, then you get 16, then you times 16 by 3 and you get 48.
(I hope this is right lol)
Answer:
$54.00
Step-by-step explanation:
3 transactions × $1.50 per transaction = $4.50 per month
$4.50 × 12 months in a year = $54.00
Ryan is cleaning out his room. His sister gives him 4 boxes of books to put with the 3 books he already had. When he finishes cleaning he discovers he now has 35 books on his shelves. How many books were in each box? Write an algebraic expression to represent this problem then solve.
Answer:
8 books were in each box
Step-by-step explanation:
According to the Question,
Assume X is the Number of Books In Each Box.
We have, 4 boxes With the Same Number of Books In each Box,Thus Total Book in all box is 4X.And, 3 books Ryan Already Put In Shelves.Now, Total Number Of Book After Cleaning is 35 Books.Algebraic Expression,
4X + 3 = 35
4X = 35 - 3
4X = 32 ⇔ X=8 books in Each Box.
What is the range of the given function?
{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}
A {x | x = –5, –4, –2, 0, 2}
B {y | y = –9, –3, 0, 5, 7}
C {x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
D {y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]
What is the range of the given function?(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)[tex]\huge\underline{\sf{\red{Choices:}}}[/tex]
A {x | x = –5, –4, –2, 0, 2}B {y | y = –9, –3, 0, 5, 7}C {x | x = –9,–5,–4,–3,–2,0,2,5,7}D {y | y = –9,–5,–4,–3,–2,0,2,5,7}[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex] \quad \quad \underline{ \boxed{\sf{ \red{ B.)\: {y | y = –9, –3, 0, 5, 7} }} }}[/tex]
What is range of a function?The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.The definition means:The range is the resulting y-values we get after substituting all the possible x-values.How to find the range?The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)Substitute different x-values into the expression for y to see what is happening. (Ask yourself: Is y always positive? Always negative? Or maybe not equal to certain values?)Make sure you look for minimum and maximum values of y.[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
#CarryOnLearning
[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]
Hey I need help with this new concept. Could someone help me out? I would prefer an explanation for one of the shapes if possible. Thanks!
Answer:
Step-by-step explanation:
set the equation for the area equal to the equation of the perimeter.
Then solve for x
-----------------------------
Figure a
area = perimeter
3x = 2(x + 3)
Distribute
3x = 2x + 6
subtract 2x from both sides
x = 6
perimeter
p = 2(x + 6)
p = 2(3 + 63)
p = 18
Area
a = 3x
a = 3*6
a = 18
----------------------------
Use the same method on the remaining figures
2 1 -5 4 3 2 -11 2 4 5 X -2 ب ا -5 a Write down the gradient of the graph.
Answer:
Gradient = -3
Step-by-step explanation:
The gradient of the graph = change in y/change in x
Change in y = the vertical distance = 3 units
Change in x = the run/horizontal distance = 1 unit
The line slopes downward, so it's a negative gradient.
Thus:
Gradient = 3/1 = -3
Can someone explain to me how this is wrong at all? I did the math like 10 times and somehow its wrong...? please lmk what the actual answer is because apparently im just incompetent
Also giving Brainliest
Answer:
total= 98
Step-by-step explanation:
so the way to do this is to find the total surface area of the white bench and then subtract the interfacing portion for the support, and then total surface area of support and also subract the area of the interface with the white as well as the ground
bench top area
area of long side *number of sides + area of end *number of ends
(9*2)*4+(2*2)*2= 72+8=80
interface area is area of long side of red portion
5*2=10
support area is same as bench top for rationale
(5*2)*4+(2*2)=40+8=44
total surface area = area of white + area of red - 2* interface area - bottom of red that interfaces with the ground
total = 80+48-2*10-(5*2)
total = 128-20-10
total= 98
CAN SOMEONE HELP THANKS 14 POINTS
Answer:
6,9,12
Step-by-step explanation:
A triangle cannot be considered a triangle unless the sum of the smaller two of the sides is greater than the larger side.
Answer:
(6, 9, 12)
Hope that this helps!
In triangle ABC, AB = 11 cm, BC = 9 cm and CA = 10 cm.
Find the area of triangle ABC.
Answer:
Area = 42.43 square cm
Step-by-step explanation:
Using Heron's Formula :
[tex]Area = \sqrt{s\times (s-a) \times (s-b) \times(s -c)} \ , \ where \ s \ =\ \frac{a+ b+ c}{2}[/tex]
Find Area :
[tex]s = \frac{11 + 9 + 10 }{2} = \frac{30}{2} = 15[/tex]
[tex]Area = \sqrt{15 \times ( 15 - 11 ) \times { (15 - 9 ) \times ( 15 -10)}\\\\[/tex]
[tex]= \sqrt{15 \times 4 \times 6 \times 5}\\\\=\sqrt{1800}[/tex]
[tex]= 42 . 43 \ cm^2[/tex]
someone plz help me!!
Answer:
P'=(0,3)
Step-by-step explanation:
P'=(-5+5, 7-4)
write the ordered triple of point C
A. (2,0,0)
B. (0,0,2)
C. (0,-2,0
D. (0,2,0)
Answer:
D
Step-by-step explanation:
point C is on the y with the value 2 so y=2 and x=z=0
NUMBER BASES TEST
1. Write the following numbers in expanded form:
(a) 11012
(b) 4315
(c) 21010
2. For the following numbers, state: (i) the place value,
(ii) the value of the digit indicated in brackets.
(a) 41325 (1)
(b) 11012 (0)
(c) 763210 (6)
3. Convert each of the following base 10 numbers to the base indicated in brackets:
(a) Change 8410 to base 5.
(b) Change 6710 to base 5.
(c) Change 2310 to base 2.
(d) Change 4410 to base 2.
Answer:Number 1
a. eleven thousand and twelve
b. four thousand three hundred and fifteen
c. twenty one thousnad and ten
Answer:Number 2
a.I one thousand
II one tousand
b.I hundreds
II cero
c.I ten thousands
II sixty thousand
What is the image point of (0, 8) after a translation right units and down 5 units?
Answer:
(5,3)
Step-by-step explanation:
1. Translation 5 units right, so the x-coordinates goes to 5.
2. Translation 5 units under, so the y-coordinates goes to 3.
So . the answer is (5, 3)
consider the following sequence at 87;84;81 which term will be the first negative term in the sequence
Answer:
"31st in the sequence"
87/3 = 29 .. 29 subtractions needed to get to zero
the 30th position in the sequence will be zero
the 31st is the first negative term
1 87
2 84
3 81
4 78
5 75
6 72
7 69
8 66
9 63
10 60
11 57
12 54
13 51
14 48
15 45
16 42
17 39
18 36
19 33
20 30
21 27
22 24
23 21
24 18
25 15
26 12
27 9
28 6
29 3
30 0
31 -3
Step-by-step explanation:
how to represent 7/3 on number line
Answer:
u r ANS
Step-by-step explanation:
7/3 on number line
Mark above ANS as branliest