Answer:
decrease of 38% (to nearest percent)
Step-by-step explanation:
Percent change = [ (difference between final and initial value) ÷ initial value] x 100
⇒ percent change = [(2100 - 1300) ÷ 2100] × 100 = 38% (to nearest percent)
f(x) = 9x + 7
f(b) = 16
b = ?
»f(x) = 9x + 7
»f(b) = 16
x = b»f(b) = 9b + 7
»16 = 9b + 7
»16 - 7 = 9b
»9b = 9
»b = 9/9
»b = 1✅
[tex]\\ \rm\hookrightarrow f(b)=16[/tex]
[tex]\\ \rm\hookrightarrow 9b+7=16[/tex]
[tex]\\ \rm\hookrightarrow 9b=9[/tex]
[tex]\\ \rm\hookrightarrow b=1[/tex]
What is exactly the relation between a Rhombus, rectangle, parallelogram, and square explain please i will mark brainliest only IF you explain
Any rhombus is a parallelogram, but not the other way around. If you were to make a Venn Diagram, the "rhombus" portion is entirely inside the set of "parallelograms".
The same can be said about rectangles as well. Any rectangle is a parallelogram, but not the other way around.
If we overlapped the region of rectangles and rhombuses, then we form the region for squares. A square is a combination of a rhombus and a rectangle.
Any square has all four sides the same length (property of a rhombus) and all angles equal to 90 (property of a rectangle). Since a square inherits properties of a rectangle and rhombus, it automatically makes any square a parallelogram.
Check out the venn diagram below.
Rewrite the product as a sum or difference.
sin(-x) sin(9x)
Answer:
[cos(10x) - cos(8x)]/2
Step-by-step explanation:
sin(-x) sin(9x) = {cos[9x - (-x)] - cos(9x + (-x)]}/2
= [cos(10x) - cos(8x)]/2
Over the weekend, Cedrick drove 45 1/4 miles. He used 2 1/2 gallons of gasoline. What is the unit rate for miles per gallon?
1 [tex] \frac{5}{8}\\ [/tex]
Step-by-step explanation:
To find unit rates, divide the number in the numerator of the rate by the number in the denominator of the rate. A car traveled 344 miles on 16 gallons of gasoline. To find the miles per gallon (unit rate), divide the numerator of the rate by the denominator of the rate. 344/16 = 21.5 miles / gallon is the rate.
==> [tex] 45\frac{1}{4} \div 2 \frac{1}{2} [/tex]
==>[tex] \frac{181}{4} \div \frac{5}{3} \\ [/tex]
==>[tex] \frac{181}{4} \times \frac{2}{5} [/tex]
==>[tex] \frac{362}{20} [/tex]
==> 18.1
==> 1 [tex] \frac{5}{8}\\ [/tex]
Find the following sets
Answer:
Step-by-step explanation:
a) 2,3,4,5,6,7
b)4,6,7
PLEASE HELP IF YOU CAN
Answer:
the first option
Step-by-step explanation:
domain is represented by the x values (or the x axis) (how far left or right)
range is represented by the y values (or the y axis) (how far up or down)
the x values for these points are x= -2, 1, 4, 5
the y values for these points are y= -4, -1, 2, 3
hope this helps!
if 50 percent of number is 26 what is 75 percent of
Answer:
If 50%= 26 25%=13 (half)
50%+25%=75%
so 26+13= 39.
75%=39
What is the area of a rectangle with a length of 313 feet and a width of 123 feet?
279 ft²
329 ft²
559 ft²
813 ft²
Answer:
the answer is 559
Step-by-step explanation:
I took the quiz
One gallon of paint will cover 400 square feet. How many gallons of paint are needed to cover a wall that is 8 feet high and 100 feet long?
A) 1/4
B) 1/2
C) 2
D) 4
Answer:
the correct answer is option c. hope it helps. please mark me as brainliest .
How does f(t) = 3 x 9 ^t change over the interval from t = 6 to t = 7?
Answer:
sorry got it wrong on the first try. Increases by 800% is the answer
Step-by-step explanation:
put x = 3 into f(x)=6x and you get f(x) = 18
Put x = 4 into f(x) and you get f(x) = 24
Subtract those two. 24 - 18 = 6
Also, f(x) = 6x it will always be 6 away from the next x you put into the equasion.
Or better said, it will be 6 more from 6x, because you are changing the x to X+1, hence,
6(x+1) = 6x + 6.
+6, it increases.
er
5 ~ Challenge: Iris is considering adding a vegetable
garden in her yard. She has a square space with an
area of 25x2 + 40x + 16. Find an expression to
represent the side lengths of the possible vegetable
garden. Sketch her vegetable garden.
e new
ual
ermine
-ssion
How?
Answer:
(5x+4)x(5x+4)
Step-by-step explanation:
Factor using quadratic formula (or AC method if you prefer)
formula: [-b ±[tex]\sqrt{b^{2} -4ac}[/tex]]/2a
Plug in
[-40 ± [tex]\sqrt{1600-1600}[/tex]]/2(25)
-40/50
x=-4/5
But since we need to find the factored form we put everything on one side.
5x+4=0
Since there is no ±, that means that there is perfect square. Both sides would be 5x+4
Big Points
What is the equation of a horizontal line that passes through the point (4, -5)?
Question 2 options:
y = 4
y = -4
y = 5
y = -5
Answer:
y = -5
Step-by-step explanation:
The coordinate point is in the format (x, y)
Therefore, the y-value of (4, -5) is -5
So the equation of the horizontal line is therefore y = -5
A horizontal line at point (4,-5) would need to pass through the The y value of the given point.
Answer: y = -5
Diane is participating in a 6-day cross-country biking challenge. She biked for 54 , 50 , 47 , 55 , and 60 miles on the first five days. How many miles does she need to bike on the last day so that her average (mean) is 53 miles per day?
The formula for mean/average is m = sum of the terms/number of the terms. Basically, you add all the numbers provided and divide it by how many of them.
So our terms are 48, 54, 51, 69, 64. We are missing the last term, which the problem needs us to find, in order to meet the requirement of the average 58 miles per days, which is m.
Let's call the last term x.
m = sum of the terms/number of the terms
58 = (48 + 54 + 51 + 69 + 64 + x)/6
We need to work backward the formula to find x.
Because (48 + 54 + 51 + 69 + 64 + x) divided by 6 gives us the m, which is 58, we will multiply 58 by 6 to give us the sum of (48 + 54 + 51 + 69 + 64 + x)
58 * 6 = 348
So 348 is the sum of 48 + 54 + 51 + 69 + 64 + x. Let make it into an equation:
48 + 54 + 51 + 69 + 64 + x = 348. Now, simplify it by adding all the values except x.
286 + x = 348. Now what is left is to take 348 minus 286, which gives us 62.
Let's check by plugging 62 as x into the mean formula.
(48 + 54 + 51 + 69 + 64 + 62)/6 = m = 58
Hope this helps!
Given that ABCD is a rhombus. Prove ∠1≅∠2.
Answer:
1) ABCD is a rhombus
2) All sides of a rhombus are equal.
4) SSS
5) CPCTC
How many liters of soup will fit in this hemispherical pot
PlS help
Answer:
3888pi cm^3 or 12214.5122372 cm^3
Step-by-step explanation:
To being, let's list out what we know
The volume of a sphere is
V = 4/3(pir^3)
But this is only half of a sphere, so the volume of it should be
V =2/3(pir^3)
With the diameter of the shape being
d = 36
We will first need to find the radius to use the formula above
r = d / 2
= 36 / 2
= 18
Now, let's start plugging in values
V = 2/3(pi18^3)
= 2/3 ( 5832pi)
= 3888pi or 12214.5122372
If you have any questions, please let me know in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D
168 divided by a number x equals 14
Answer:
x = 12
Step-by-step explanation:
=> 168 / x = 14
=> x = 168 / 14
=> x = 14 x 12 / 14
=> x = 12
Divide 0.4 / 41 Enter your answer as a decimal in the box.
Answer:
0.4 / 41=0.009760
It starts to repeat the same numbers
Step-by-step explanation:
find the coordinats of P
[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(8,6)\qquad B(-2,-9)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(8,6)=3(-2,-9)[/tex]
[tex](\stackrel{x}{16}~~,~~ \stackrel{y}{12})=(\stackrel{x}{-6}~~,~~ \stackrel{y}{-27})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{16-6}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{12-27}}{3+2} \right)} \\\\\\ P=\left( \cfrac{10}{5}~~,~~\cfrac{-15}{5} \right)\implies P=(2~~,~~-3)[/tex]
Claim: Fewer than 93% of adults have a cell phone. In a reputable poll of 1059 adults, 88% said that they have a cell phone. Find the value of the test statistic.
What is probability P(56
Answer:
10
Step-by-step explanation:
pretty sure
Select the correct answer.
What argument does Thomas Jefferson make in this excerpt from the Declaration of Independence?
Creator with
Is 7x=5x-25+30 no solution,one solution, or all real numbers?
Thank you!
One solution let's find that
[tex]\\ \rm\hookrightarrow 7x=5x-25+30[/tex]
[tex]\\ \rm\hookrightarrow 7x=5x+5[/tex]
[tex]\\ \rm\hookrightarrow 2x=5[/tex]
[tex]\\ \rm\hookrightarrow x=5/2[/tex]
Answer:
one solution
Step-by-step explanation:
[tex]7x=5x-25+30[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-25+30=5[/tex]
[tex]7x=5x+5[/tex]
[tex]\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}[/tex]
[tex]7x-5x=5x+5-5x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]2x=5[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]
[tex]\frac{2x}{2}=\frac{5}{2}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=\frac{5}{2}[/tex]
[tex]x=2.5[/tex]
~lenvy~
I WILL GIVE YOU BRAINLIEST
Answer:
x<13
Step-by-step explanation:
you divide by -2 and it becomes 13 but you also have to flip the sign to make the answer x<13
Hello.
This is a one-step inequality, meaning that we can solve it in one step.
Divide both sides by -2:
x<13
Note:[tex]\bigstar[/tex] If you divide both sides of an inequality by a negative number, you flop the inequality sign.
Therefore, the answer is
[tex]\Large\boxed{x < 13}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
A rectangle has a area of 135ft2. What is the length if the width is 9ft?
Answer:
The length is 15 ft
Step-by-step explanation:
Area = length x width
135 = length x 9
135/9 = length
15 = length
The length is 15 ft
-Chetan K
may someone please answer this for me
Answer:
Option D
Step-by-step explanation:
We can multiply the first one by 2 to get 8:20
4:10 × 2 = 8:20
We can divide the second one by 2 to get 8:20
16:20 ÷ 2 = 8:20
We can divide the third one by 3 to get 8:20
24:60 ÷ 3 = 8:20
We can divide the fourth one by 3.5 to get 8:20
28:70 ÷ 3.5 = 8:20
This process of dividing and multiplying was finding equivalent ratios to answer the question.
I need help with this
What are the potential solutions to the equation below? 2In(x+3)=0 x=-3 and x=-4 x=-2 and x=-4 a=2and x=-3 a=2 and x=4
Answer:
x = -2 and x = -4
The solution to the given equation is [tex]x=-2[/tex] .
What are equations?Equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.
We have,
[tex]2ln(x+3)=0[/tex]
Now,
Divide the above equation by [tex]2[/tex],
We get,
[tex]ln(x+3)=0[/tex]
Using the properties of logarithms,
We get,
[tex](x+3)=1[/tex] [tex](Because\ ln(0)=1)[/tex]
[tex]x=-3+1[/tex]
[tex]x=-2[/tex]
So, the solution to [tex]2ln(x+3)=0[/tex] is [tex]x=-2[/tex] , using properties of logarithms.
Hence, we can say that the solution to the given equation is [tex]x=-2[/tex] .
To know more about equation click here
https://brainly.com/question/2263981
#SPJ3
Question 20. Describe the graph of the following equation.
Answer:
Step-by-step explanation:
Decreasing left to the right
horizontal line
increasing left to the right
Vertical line
Decreasing left to the right
find the perimeter and area of the rectangle
A theater has 1,008 seats in 36 equal rows. How many seats are in each row?
Answer:
28
Step-by-step explanation:
Rows are equal, so number of seats=N*36=1008
N-number of seats in a row
N=1008/36=28