Answer:
first option
Step-by-step explanation:
the area of a rectangle is
base*height
[tex]Purple=(3)\times(a)\\\\=3a\\\\\\Green=(\frac{1}{2})\times(3)\\\\=\frac{3}{2}\\\\\\Red=1\times a\\\\=a\\\\\\Yellow=\frac{1}{2}\times 1\\\\=\frac{1}{2}[/tex]
so the sum is
[tex]\Sigma A=3a+a+\frac{3}{2}+\frac{1}{2}[/tex]
which is the first option
The expression for the area of the poster is written as the sum of the areas of each colored section is 3a + a + 3 1/2 + 1/2
Area of a rectangle = length × width
Purple color:
Area = length × width
= 3 × a
= 3a
Red color:
Area = length × width
= 1 × a
= a
Green color:
Area = length × width
= 3 × 1/2
= 3 1/2
Yellow color:
Area = length × width
= 1 × 1/2
= 1/2
Sum of the areas = purple + red + green + yellow
= 3a + a + 3 1/2 + 1/2
Therefore, expression for the area of the poster is written as the sum of the areas of each colored section is 3a + a + 3 1/2 + 1/2
Read more:
https://brainly.com/question/17229451
2. Findf(g(x))andg( f(x)).
f(x) = 102; 9(1) = 1 + 3
Answer:
9=4
Step-by-step explanation:
9(1)= 1+3
9(1)=9
1+3=4
9:4
79x10 to the power of 7 +6.5x10 to the power of 6
Express your answer in scientific notation
Answer: 10⁶⁵⁰⁰⁰⁰⁷ × 79
Evaluate the expression if m=4 n=3 and p=2
5m-4n+p=
Answer:
[tex]10[/tex]
Step-by-step explanation:
[tex]5m-4n+p[/tex]
You would substitute in the given values and then combine like terms
[tex]m=4\\n=3\\p=2[/tex]
[tex]5(4)-4(3)+(2) = 20-12+2=10[/tex]
Given f(x)=2x+3 and g(x)= -2x2 - 4x +4, find the value of f(3)
Answer:
9
Step-by-step explanation:
f(x)=2x+3
f(3) = 2(3) + 3
= 6 + 3 = 9
A pair of parallel lines is cut by a transversal: A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees. What is the measure of angle x? (1 point)
Answer:
Step-by-step explanation:
Use the diagram in the attachment for reference. You can substitute the values given in question in place of the one in the diagram.
From the diagram, it can be seen that the sum of angle x and 20 is equal to angle 75 degrees i.e x+30 = 75 (alternate angles)
Next is to find the value of x from the equation
x+30 = 75
Subtract 30 from both sides of the equation;
x+30-30 = 75-30
x = 75-30
x = 45
Hence the measure of angle x is 45°
Answer:
The answer is 45
Step-by-step explanation:
I got this on a test once and got it right
The “Flip the Switch” challenge has a 10-second-long music clip. You film a 17-second-long video. What percent of your video does the music clip represent? *
22x^3 y^4+28x^2 y^5+34xy^4
Answer:
2xy4 • (11x2 + 14xy + 17)
Step-by-step explanation:
(((22•(x3))•(y4))+((28•(x2))•(y5)))+(2•17xy4)
(((22•(x3))•(y4))+((22•7x2)•y5))+(2•17xy4)
(((2•11x3) • y4) + (22•7x2y5)) + (2•17xy4)
5.1 Pull out like factors :
22x3y4 + 28x2y5 + 34xy4 = 2xy4 • (11x2 + 14xy + 17)
Trying to factor a multi variable polynomial :
5.2 Factoring 11x2 + 14xy + 17
Final result :
2xy4 • (11x2 + 14xy + 17)
Which one is NOT a decimal fraction?
32/1
32/10
32/32
32/100
Please help will give brainliest
Answer:
I think is the last one
.
.
.
.
.
.
.
.
.
.
.
.
.
.
Express in the form
1
:
n
8
:
24
Answer:
1:3
Step-by-step explanation:
Answer:
1:3 is the correct answer
What is the answer to 5 (y-10) = -5
Answer:
5(y-10)=-5
5y-50=-5
5y=45
y=9
Step-by-step explanation:
distribute
add 50 to the other side and undo it from its original side
get the variable by itself by dividing 5 on both sides
then you have your answer
I hope this helps!
Answer:
9
Step-by-step explanation:
5(y-10)=5
divide both sides by 5
50-5=45
45 divided by 5 is 9
Daniela and Jack are hiking a steady incline. They use their GPS device to determine their elevation every 15 minutes. At 15 minutes and 30 minutes they were at elevations of 10,300 and 10,900 feet, respectively. Write an equation expressing their elevation in relation to time.
Answer:
[tex]h=40t+9700[/tex]
where the elevation, h, is in feet and time, t, is in minutes.
Step-by-step explanation:
At the time, [tex]t_1=15[/tex] min, the elevation, [tex]h_1= 10,300[/tex] feet and
at the time [tex]t_2= 30[/tex] min, the elevation, [tex]h_2=10,900[/tex] feet.
As they are hiking a steady incline, so the change in the elevation with respect to time will be constant.
So, there will be a linear relationship between the elevation and the time.
Let [tex]h[/tex] be the elevation at any time instant [tex]t[/tex], so the linear relation among these quantities is
[tex]h=mt+C_0\;\cdots(i)[/tex]
where [tex]m[/tex] is the rate of change of elevation with respect to time and [tex]C_0[/tex] is constant.
The change in the elevation, [tex]\Delta h=h_2-h_1= 10,900-10,300=600[/tex] feet.
and the change in time, [tex]\Delta t=t_2-1_1=30-15=15[/tex] min.
So, change in the elevation in unit time,
[tex]m=\frac{\Delat h}{\Delta t}=\frac{600}{15}=40[/tex] feet/min.
Now, from equation (i)
[tex]h=40t+C_0[/tex]
As the elevation, [tex]h=h_1[/tex] at time [tex]t=t_1[/tex], so
[tex]10,300=40\times15+C_0[/tex]
[tex]\Rightarrow C_0=9700[/tex]
Hence, the required equation is
[tex]h=40t+9700[/tex]
where the elevation, [tex]h[/tex], is in feet and time, [tex]t[/tex], is in minutes.
Solve: -4 (2x + 11) = -x + 12
Answer:
x=-8
Step-by-step explanation:
Multiply -4 by each number in the parenthesis ( distributive property )
Add x to -8x ( -7x )
Add 44 to 12 ( 56 )
Divide 56 and -7
You should get x=-8
An isosceles trapezoid has a perimeter of 41 in. Its short base measures 1 inch and its longer base measures 2 inches. the two remaining sodes have the same length what is that length ?
Answer:
it is 6 inches
Step-by-step explanation:
A weight-lifting machine has eight levels of difficulty. Level one is 25 pounds, and each additional level increases the weight by
five pounds. Which is an ordered pair from this situation?
Оа
Ob
ос
Od
(9,65)
(2, 10)
(8,65)
(3, 35)
Answer:(8,65)
Step-by-step explanation:
Because if you were to write this as an equation it would be 25+5x=y than you plug in each variables until determined true.
Show that the points P(3,4) z Q(7,8) , R(11,4) are the vertices of an isosceles triangle.
Answer:
i mean its all about drawing the graph.
Step-by-step explanation:
I hope this helps!
Derek can do 50 pushups. Roger can do
8% fewer than Derek can do. How many
pushups can Roger do?
Answer: 40
Step-by-step explanation: 50x0.8=40
Okay, maybe im wrong? But i dont see how its 4 thats more than half.
Rodger can do 46 pushups.
50 * 0.92 = 46
Edit: To better clarify, 0.92 is from 1.00 - 0.08.
... 8 percent fewer than 100 percent is 92 percent; 1.00 - 0.08 = 0.92
Keep in mind that:
1.00 = 100%
0.08 = 8%
0.92 = 92%
After finding this you may multiply 50 * 0.92 to get 46.
what is the unit rate of 1/4 kilometer in 1/3 hour
Answer:
3/4 km in 1 hour
Step-by-step explanation:
You divide to find unit rate.
1/4 divided by 1/3 is
1/4 x 3/1 = 3/4
3/4 kilometers in 1 hour
Hope this helps :)
The required rate of 1/4 kilometer in 1/3 hour is 3 / 4 Kilometer per hour.
Given that,
To determine the unit rate of 1/4 kilometer in 1/3 hour.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is the rate of change?The rate of change is defined as the change in value with the rest of the time is called rate of change.
Here,
The unit rate of 1/4 kilometer in 1/3 hour,
Rate = (1 / 4 kilometer) / (1 / 3 hour)
Rate = 1 / 4 / 1 / 3
Rate = 3 / 4 Kilometer per hour.
Thus, the required rate of 1/4 kilometer in 1/3 hour is 3 / 4 Kilometer per hour.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Which of the following statements is correct about the value of
16 + 101 ?
A.
16 + 101 is neither a rational or irrational number
B.
16 + 101 is an integer
C.
16 + 101 is an irrational number
D.
16 + 101 is a rational number
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Find the average rate of change of g(x) = 4x + 13 over the interval [-3, 0].
Write your answer as an integer, fraction, or decimal rounded to the nearest tenth. Simplify
any fractions.
Answer:
4
Step-by-step explanation:
Line AB and line CD intersect at point E. If angle AEC= 5x and angle BED= x +28, font the value of x. (Number two)
Go to QuestionCove for better answers, it's too hard for me TwT
Answer:
2. x=7
3. x=11
Step-by-step explanation:
Yall are so wrong do your math again people
Answer:
What math? you havent posted anything on here
Help me fast pls this is on FLVS help me pls
Here is a tip, highlight the whole question, copy it, paste it into google, and it will be there on brainly
Answer:
Equation 1
Step-by-step explanation:
It is the only equation to not have a square root. If a square root is present in the equation, it is NOT a linear function.
Hope this helps!
solve for u pls thanks
Answer:
U= -7
I hope this helps!!
Answer: u=-7
Step-by-step explanation:
-18 = -4 + 2u
Add 4 to -18
-14=2u
Divide by 2
U=-7
Solve For b show your work 3b+2(b-3)=4
Plz show work
If x+ 9 = 11, then x = 2.
x would equal 2...
Step-by-step explanation:
true.
Answer:
Yes, you are correct.
Step-by-step explanation.
We will flip the question.
11 - 9 = x
is the same as.
11 - 9 = 2...
________________________________________________________
So... x = 2.
Determine the value of y, if x is 5.
y = |x| + 10
Answer:
Answer:
[tex]y=15[/tex]
Step-by-step explanation:
Insert the given value of x into the equation:
[tex]x=5\\\\y=|x|+10\\\\y=|5|+10[/tex]
The absolute value of a number is its distance from zero on the number line. Therefore, the absolute value of a number will always be positive. The distance of 5 from zero on the number line is:
[tex]y=5+10\\\\y=15[/tex]
:Done
Why all integers are not whole numbers?
Answer:
Integers -4, -3, -2, -1, 0, 1, 2, 3, 4… all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero). Fractions and decimals are not integers. For example, -5 is an integer but not a whole number or a natural number.
The graph represents the balance on Harrison’s car loan in the months since purchasing the car.
Answer: It’s A
Step-by-step explanation:
Answer:
A,the loan balance decreases $500 per month.
Step-by-step explanation:
Consider the function. find f(5)
Answer:
f(5) = -1
Step-by-step explanation:
f(5) is x = 5.
When x = 5, y = -1.
Therefore, f(5) = -1