Answer:
The value of a is -1.
Step-by-step explanation:
First, you have to add 3 to both sides :
[tex]2a - 3 + 3 = - 5 + 3[/tex]
[tex]2a = - 2[/tex]
Next, you have to divide both sides by 2 :
[tex]2a \div 2 = - 2 \div 2[/tex]
[tex]a = - 1[/tex]
Answer:
-1
Step-by-step explanation:
Which expression is a sum of cubes?
-27a3b6+8a9b12
-9ab6 +9610
9ab6 + 8a12
27a3b8+8a9b12
Answer:
The first possible answer, -27a³b^6 + 8a^9b^12, is the sum of cubes.
Step-by-step explanation:
The middle two possible answers involve " a " with no exponent, so these could not be correct.
Looking at the first and fourth possible answers, we see that the first term of -27a3b6+8a9b12 is a perfect cube; it could be re-written as (-3ab²)³. The second term could be rewritten as (2a³b^4)³. So the first possible ansswer is the SUM of CUBES.
On a coordinate plane, a parallelogram has points A (negative 3, 4), B (3, 4), C (1, negative 2), and D (negative 5, negative 2). If a translation of (x, y) → (x + 6, y – 10) is applied to figure ABCD, what are the coordinates of D'? (–5, –2) (1, –12) (4, –15) (–9, –6)
Answer:
1,-12
Step-by-step explanation:
The coordinates of D' after translation is (1, -12).
Option B is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
Parallelogram coordinates:
A = (-3, 4)
B = (3, 4)
C = (1, -2)
D = (-5, -2)
Now,
Translation of (x, y) → (x + 6, y - 10) is applied.
This means,
Parallelogram coordinates:
A' = (-3, 4) → (-3 + 6, 4 - 10) = (3, -6)
B' = (3, 4) → (3 + 6, 4 - 10) = (9, -4)
C' = (1, -2) → (1 + 6, -2 - 10) = (7, -12)
D' = (-5, -2) → (-5 + 6, -2 - 10) = (1, -12)
Thus,
The coordinates of D' is (1, -12).
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n is a positive integer
i) Explain why n(n+1) must be an even number?
ii) Explain why 2n-1 must be an odd number?
Answer:
Step-by-step explanation:
product of two consecutive numbers is always even.
n(n+1)
case 1
if n is odd,let n=2k+1,where k is an integer
n+1=2k+1+1=2k+2=2(k+1)
n(n+1)=(2k+1)[2(k+1)]=2(2k+1)(k+1)=even number.
case 2
if n is even,let n=2m,where m is an integer.
n+1=2m+1
n(n+1)=2m(2m+1)=even integer.
so in both cases n(n+1) is even.
Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t can be used to relate the total distance, d, in miles to the time, t, that Jillian spent jogging. What are the independent and dependent variables?
The independent variable is distance and the dependent variable is time.
The independent variable is time and the dependent variable is distance.
The independent variable is distance and the dependent variable is speed.
The independent variable is speed and the dependent variable is distance.
Answer:
The answer is option 2.
Step-by-step explanation:
In the question, the independent variable is time and dependent is distance. As the time changes, the distance will also change it means the distance depends on time.
For example,
[tex]d = 0.5 + 5t[/tex]
Let t = 1,
[tex]d = 0.5 + 5(1)[/tex]
[tex]d = 5.5 \: miles[/tex]
Let t = 5,
[tex]d = 0.5 + 5(5)[/tex]
[tex]d = 25.5 \: miles[/tex]
Therfore, as time increases, distance will also increase.
Answer:
B: The independent variable is time and the dependent variable is distance.
Step-by-step explanation:
edg2021
I need help with question 3 so if you can take a little bit of your time to help that will be great :)
Sketch the graph of the given equation. y = x2 + 8x +15
I really urgently need help if you have done this pls I beg you help me
Answer:
a) 34m/s
b) 42.5 m/5
Step-by-step explanation:
The average speed is the distance divided by the time. This is:
Vaverage = 1700m/50s=34 m/s
The value of K is, knowing that the area under the curve is 1700
k*30+k*20/2=1700
30k + 10k = 1700
40k=1700
k=42.5
Find the circumference of the largest circle that can be inscribed inside a square whose side is 5" ( with explanation )
Answer:
22.21
Step-by-step explanation:
diagonal of square = 5 squareroot 2
diameter = 5 square root 2
circumfrence = 22.21
please help me answer it
Answer:
i dont know toooo pls answer it fast......................................
Step-by-step explanation:
i need it..........................
Find the area of the trapezoid below.
4 cm
3cm
8 cm
Answer:
28
Step-by-step explanation:
base = ( a ) 4
base = ( b ) 3
height = ( h ) 8
A = a + b/2 x h = 4 + 3/2 x 8 = 28
An automatic dog feeder in the shape of a cone has a height of 18 cm. if it holds about 8,308 cm of dog food, what is the radius rounded to the nearest cm?
Answer:
35.3
Step-by-step explanation:
Yuet solved the equation 6 a minus 2 b = 12 for a. Her steps are shown below. 1. Subtract 2b: 6 a = 12 minus 12 b 2. Divide by 6: a = 2 minus one-third b
Which statement about Yuet’s work is true?
In step 1 she needed to add 2b to both sides of the equation.
In step 1 she needed to divide by 2b on both sides of the equation.
In step 2 she needed to divide both sides of the equation by 6.
In step 2 she needed to subtract 6 from both sides of the equation.
Question:
Yuet solved the equation [tex]6a - 2b = 12[/tex] for a.
Her steps are shown below.
1. Subtract 2b: [tex]6a = 12 - 2b[/tex]
2. Divide by 6: [tex]a = 2 - \frac{b}{3}[/tex]
Answer:
In step 1 she needed to add 2b to both sides of the equation.
Step-by-step explanation:
Given:
The above steps shows how Yuet solved an equation
Required:
True statement about Yuet's work
The implication of the statement is to state what Yuet should have done instead of what she did.
In step 1, she subtracted 2b from both sides of the equation; this is wrong.
Instead of subtracting, she ought to add 2b to both sides of the equation.
The correct steps and result is as follows:
1. Add 2b: [tex]6a = 12 + 2b[/tex]
2. Divide by 6: [tex]a = 2 + \frac{b}{3}[/tex]
Hence, we can conclude that in step 1 she needed to add 2b to both sides of the equation.
Answer:
A:In step 1 she needed to add 2b to both sides of the equation.
Step-by-step explanation:
i did the test
Which of the following graphs shows b < 4 ?
Answer:
C
Step-by-step explanation:
< is an open circle and graph C is the only one with an open circle
Answer:
Choice C or the third one down
Step-by-step explanation:
b < 4
There is an open circle at 4 since there is no equals sign
and the lines goes to the left
A fungus is infecting trees in a state park. Each week, the number of trees infected with the fungus doubles. Five weeks after the fungus is discovered, park rangers determine that 1,280 trees are infected.
Answer:
Week 1: 80
Week 2: 160
Week 3: 320
Week 4: 640
Week 5: 1280
Step-by-step explanation:
Week 5 there are 1280 infected trees, the infection numbers double weekly. Divide week 5 (1280) by 2 and you find week 4 (640) divide that by 2 and you find week 3 (320) divide that by 2 and you find week 2 (160) divide that by 2 and you find the first week (80)
The Number of infected trees are:
Week 1: 80
Week 2: 160
Week 3: 320
Week 4: 640
Week 5: 1280
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
In week 5, 1280 trees were infected.
As, Each week, the number of trees infected with the fungus doubles.
In week 4:
Number of trees infected = 1280 / 2 = 640
In week 3:
Number of trees infected = 640/ 2 = 320
In week 2:
Number of trees infected = 320 / 2 = 160
In week 1:
Number of trees infected = 160/ 2 = 80
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Simplify the resulting equation x = 0 • 11 • 70?
Please!!!! Order the following from least to greatest!!!
Answer:
sqrt2<1.5<sqrt7<2.8
Evaluate 2x − 4 for x = 9. Evaluate −b + 8 for b = 3. Find the value of the expression 12x+3 if x = 12. For the equation y = 3x + 4, find the value of y if x = 2. The expression $25 + $10h gives the amount of money that Stephanie earns per day, where h is the number of hours she works. How much does she earn if she works 4 hours? Simplify each of the following expressions: 3(x + 2) + 4(x − 2) 2(x + y) − 3(x + y) −(y + 8) + 4(6 − y) 2(4x + 3) − 3(x + 1)
Answer:
Answers are below and bolded for you. Questions are underlined.
Step-by-step explanation:
Evaluate 2x − 4 for x = 9.
2×9-4=
18-4=
16
Evaluate −b + 8 for b = 3.
-3+8=
5
Find the value of the expression 12x+3 if x = 12.
12×12+3=
144+3=
147
For the equation y = 3x + 4, find the value of y if x = 2.
y=3×2+4
y=6+4
y=10
The expression $25 + $10h gives the amount of money that Stephanie earns per day, where h is the number of hours she works. How much does she earn if she works 4 hours?
If she works 4 hours, our equations is now:
$25+$10×4=
$25+$40=
$65
Simplify each of the following expressions:
3(x + 2) + 4(x − 2)=
3x+6+4x-8=
7x-2
2(x + y) − 3(x + y) −(y + 8) + 4(6 − y)=
2x+2y-3x+3y-y+8+24-y=
-x+2y+3y-y+8+24-y=
-x+4y+8+24-y=
-x+3y+32 or 32-x+3y
2(4x + 3) − 3(x + 1)=
8x+6-3x+3=
5x+9
Need some help
Take a look at the screenshot
The answer is not y= -1 + 9
Answer:
y = - x +9
Step-by-step explanation:
slope = (9-0)/(0-9) = - 1
line equation : y= mx + c
find c : 9= - 1*0 +c ....... >> c = 9
y = - x +9 ans
Answer:
y=-x+9Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-0)/((0-9))
m=9/(0-9)
m=9/-9
m=-1
y=mx+c
y=-1*x+c
y=-x+c
plug in (9,0) into the equation
0=-1*9+c
0=-9+c
-c=-9
c=9
y=-x+9
you wrote it correctly too, but I think the problem is that it only takes -x not -1x
Will give brainliest Please answer it’s due tonight
2/9
there are two ways it could land on the colors in any order and 9 other possibilities
Answer:
2/9
Step-by-step explanation:
simple logic
Given ΔMNO, find the measure of ∠MNO. A.28° B.38° C.52° D.76°
Answer:
The answer is 28! meaning A.If you need help understanding how I got the answer please let me know and I will gladly explain how I got the answer:)
The height of a ball dropped from the top of a 450-foot tall building can be described by the expression
450 - 16r, where
I represents the time, in seconds, after the ball is dropped.
What is the height of the object
4 seconds after it is dropped?
Answer:
The answer is 386 feet.
Step-by-step explanation:
This equation simply asks to plug in a value that gives you the final value of the height. 450 is the initial height, and r (or l) is referred to as the amount of seconds after the item is dropped. 16 is the constant value of feet that the ball drops within one second.
Therefore, by substituting 4 for r (or l) and multiplying it by 16, you will receive 64 feet in 4 seconds. Finally, you need to subtract this from 450 feet, giving you a final answer of 386 feet.
Which of the following equations describes the graph?
|-26 |+|-19] - [13] =
=|口
Answer:
32
Step-by-step explanation:
I hope that those brackets mean the absolute value, which means that you will make both 26 and 19 positive, then adding which gives you 45 and then subtract 13, giving you 32.
If the sixth term in a geometric sequence is 1/625, and the common ratio is 15, find the explicit formula of the sequence.
A. an=(15)n−1 for n ≥ 1
B. an=(5)⋅(15)n−1 for n ≥ 2
C. an=(5)⋅(15)n−1 for n ≥ 1
D. an=(1)⋅(15)n−1 for n ≥ 2
Answer:
The explicit formula of the sequence is [tex]a_n=5(\frac{1}{5})^{n-1}[/tex] for [tex]n \geq 2[/tex]
Step-by-step explanation:
Sixth term in a geometric sequence =[tex]\frac{1}{625}[/tex]
Common ratio =[tex]\frac{1}{5}[/tex]
Formula of nth term =[tex]a_n=ar^{n-1}[/tex]
Substitute the values
So,[tex]\frac{1}{625}=a(\frac{1}{5})^{6-1}\\\frac{1}{625}=a(\frac{1}{5})^{5}\\\frac{1}{625} \times 5^5=a[/tex]
5=a
Substitute the value in 1
So,[tex]a_n=5(\frac{1}{5})^{n-1}[/tex]
So, Option C is true
Hence the explicit formula of the sequence is [tex]a_n=5(\frac{1}{5})^{n-1}[/tex] for [tex]n \geq 2[/tex]
Answer :)
C is the answer... so yea ★
What is the value of f(-12), if f(x) = 4x - 12?
a. -48
b. -36
c. -60
d. 36
Answer:
A. -48
Step-by-step explanation:
To find f(-12), we put -12 in for x and solve like shown:
[tex]f(-12)=(4)(-12)\\f(-12)=-48[/tex]
Answer:
a. -48
Step-by-step explanation:
If a = b, then xa = xb represents the property of equality. Question 6 options: A) multiplication B) symmetric C) addition D) reflexive
Answer:
A) multiplication
Explanation:
is a=b, then xa=xb, then the two are equal by the property of multiplication.
Answer:
Multiplication
Step-by-step explanation: I took the test
These dot plots show hourly earnings for a sample of workers in two
different careers.
Career A
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Career B
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Hourly eamings ($)
What are the differences between the centers and spreads of these
earning distributions?
Select two choices: one for the centers and one for the spreads.
O A. Centers: Career A has greater median hourly earnings
than career B.
B. Spreads: The hourly earnings for career B are more spread
out.
O c. Spreads: The hourly earnings for career A are more spread
out.
O D. Centers: Career B has greater median hourly earnings than
career A
Answer:
B and D
Step-by-step explanation:
The statement (A) Centres: Career A has greater median hourly earnings than career (B) and statement (B) Spreads: The hourly earnings for career B are more spread out are correct.
What is dot plot?A dot plot, also referred to as a dot chart or stripe graph, is a sort of simple histogram-like figure used in statistics for little data sets with values falling into a number of discrete bins.
We have given dot plot in the picture.
As we can see from the dot plot:
Median for career A = 35
Median for career B = 25
And career B dot plot is more spread.
Thus, the statement (A) Centres: Career A has greater median hourly earnings than career (B) and statement (B) Spreads: The hourly earnings for career B are more spread out are correct.
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13 - 5 5/6 in simplest form
Answer:
7 1/6
Step-by-step explanation:
13 - 5 5/6
Borrow 1 from the 13 in the form of 6/6
12 6/6 - 5 5/6
Subtract the whole numbers
12 -5 =7
Subtract the fractions
6/6-5/6 = 1/6
7 1/6
Which of the following is equivalent to
Answer:
1/6
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
PLEASE HELP I WILL MARK BRAINLIEST!
A storekeeper wishes to sell 100 pounds of mixed nuts for $1.75 a pound. He mixes peanuts worth $1.60 a pound with cashews worth $1.85 a pound. How many pounds of each does he use?
Answer:
40 pounds of nuts worth $1.60
60 pounds of nuts worth $1.85
Step-by-step explanation:
This is a mixture problem, so see the attachment below:
*Sorry if it's unclear, but I hope it helps!