Answer:
-4a + b
Step-by-step explanation:
Take away the parentheses (brackets) and solve.
-a + 2b - 3a - b
-a - 3a + 2b - b
-4a + b
Answer:
It's -[tex]4a + b[/tex]
Step-by-step explanation:
Simplify the expression.
-
Given the graph of y = f(x), shown as a red dashed curve, drag the movable blue point to obtain the graph of
y = f(x - 4) + 3.
Answer:
The blue point will be at (4, 3)
Step-by-step explanation:
Numbers inside the parenthases only affect x, but are revered. If it is -4, move right 4. lf it is 4, move left 4.
Numbers after the patentheses affect the movement of y. When the point is at (4, 0), move up 3.
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
Valid
Step-by-step explanation:
No calculations, but,
Def. of isosceles triangle= two congruent sides.
yes is isosceles
Step-by-step explanation:
valid
Given the following three arithmetic sequences : 1, 3, ... and 1, 4, ... and 1, 5, ... A number is randomly selected from 1 to 1000, inclusive. What is the probability that the selected number is not a term of any of the given sequences?
Answer:
0.333
Step-by-step explanation:
The first sequence starts at 1 and has a common difference of 2. It will include every odd number in the range.
__
The second sequence starts at 1 and has a common difference of 3. It will include odd numbers and the even numbers 4, 10, 16, .... That is, all even numbers of the form 6n -2 will be included. The last one corresponds to the largest value of n such that ...
6n -2 ≤ 1000
6n ≤ 1002
n ≤ 167
That is, 167 even numbers will also be excluded.
__
The third sequence starts at 1 and has a common difference of 4. Every number in this sequence is also a number in the first sequence.
__
So the numbers in these sequences include all 500 odd numbers and 167 even numbers, for a total of 667 numbers. The probability that a randomly chosen number is not in one of these sequences is ...
(1000 -667)/(1000) = 333/1000 = 0.333 . . . . p(not a sequence term)
Answer:
1/3
Step-by-step explanation:
Which expressions are equivalent to the one below? Check all that apply.
4^3•4x
The expression [tex]4^{3} *4^{x}[/tex] is equivalent to [tex]4^{x+3} , 64*4^{x}[/tex].
What is an expression?An expression is a combination of symbols and it does not convey full meaning of anything.
How to make equivalent expressions?We have been given the expression 4^{3} *4^{x} and we have to find the equivalent equations.
If we see that both bases are equal so we will add the power with only one base from which 4^{x+3} .
If we see that 4 has a power of 3 so we will open it and it becomes 4*4*4*[tex]4^{x}[/tex]
Hence the equivalent expressions are 4^{x+3} , 64*4^{x}.
Learn more about equivalent expressions at https://brainly.com/question/2972832
#SPJ2
If a cow has a mass of 9×102 kilograms, and a blue whale has a mass of 1.8×105 kilograms, which of these statements is true?
Answer:
The mass of the Blue whale is 200 times the mass of the cow
Step-by-step explanation:
Given
Mass of Cow = 9 * 10² kg
Mass of Blue Whale = 1.8 * 10⁵ kg
Required
Determine the relationship between both weights
Represent the mass of the cow with C and the mass of the whale with B
[tex]C = 9 * 10^2kg[/tex]
[tex]C = 9 *100kg[/tex]
[tex]C = 900kg[/tex]
[tex]B = 1.8 * 10^5kg[/tex]
[tex]B = 1.8 * 100000kg[/tex]
[tex]B = 180000kg[/tex]
Divide the bigger weight by the smaller weight
[tex]\frac{B}{C} = \frac{180000kg}{900kg}[/tex]
[tex]\frac{B}{C} = \frac{180000}{900}[/tex]
[tex]\frac{B}{C} = {200}{}[/tex]
Multiply both sides by C
[tex]C * \frac{B}{C} = {200}{} * C[/tex]
[tex]B = {200}{} * C[/tex]
[tex]B = 200}C[/tex]
From the expression above, it can be concluded that the mass of the Blue whale is 200 times the mass of the cow
Which of the following is not a condition that must be met before you can use
the quadratic formula to find the solutions of an equation?
Answer:
D. The coefficient of the x^2-term must be positive.
Step-by-step explanation:
A. The coefficient of the x2-term can't be zero.
B. There can be no term whose degree is higher than 2.
C. One side of the equation must be zero.
D. The coefficient of the x2-term must be positive.
Quadratic equation is given as:
y=ax^2+bx+c
To use the quadratic formula,we have
ax^2+by+c=0
Coefficient of x^2 can not be equal to 0, that is a can not be equal to 0
There can be no term whose degree is higher than 2. The highest degree in a quadratic equation is 2
One side of the equation must be 0, that is ax^2+by+c=0
Coefficient of x^2 must be positive. The coefficient of x^2 can either be positive or negative. That is, it can either be a or -a
the volumes of two similar solids are 729m^3 and 125m^3. the surface area of the larger solid is 324m^2. what is the surface area of the smaller solid? A. 56m^2 B. 100m^2 C. 500m^2 D. 200m^2
Answer:
B. Is the Answer 100 m²
Step-by-step explanation:
The ratio of the two solid is 729/125
The ratio of the surface area = (729/125)^(2/3)=81/25
Surface area = 25 * 324 / 81 = 100 m²
will mark !!BRAINLIEST!! for correct answer. Select all that apply. Which of the following shows that 5/6 = 15/16 is a proportion?
5 • 15 = 6 • 18
5 • 18 = 6 • 15
5.6/6.3 = 5/18
5+10/6+12 = 15/18
Answer:
5+10/6+12
Step-by-step explanation:
5+10 is 15
6+12 is 18
so that would be 15/8 which is equal to 15/18
That is the best answer but this question doesn't really make sense.
Hope this helps!
Also side note: 5/6 is not proportional to 15/16. 5 * 3=15, but 6*3 does not equal to 16! Please check the question and make sure you typed the right thing! Thanks!
actually 5/6 and 15/16 are not in proportion
since 6*15 is not equal to 16*5
I need help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
This is just comparing what is bigger, I don't see what's so hard about it.
Step-by-step explanation:
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Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
12x-15
Step-by-step explanation:
In my expression, I multiplied 12(how much money she makes per hour) by x(the number of hours she worked) then subtracted 15, which was the fine she had to pay.
Answer:
12x-15
Step-by-step explanation:
I took the test
a plastic storage container has a base which is 70 centimetres long and 30 centimetres wide the container is 50cm. high and has no lid calculate the amount of plastic needed to manufacture this box
Answer:
The asnwer is 12100 cm^2 of plastic without lid
Step-by-step explanation:
There 6 sides in a box, but there is no lid so only 5 sides.
Calulate the area of all 5 sides and add them up.
( ( 50 x 30) x 2 ) +( ( 70 x 50 ) x 2) + ( 70 x 30 )
=12100 cm^2
Please help me prove that AÊD = B
The sum of two numbers is 88; one number is 12 less than the other. What is the larger number? 1. Cut the _______ number in half. Write both halves on your paper. 2. Cut the ______________in half. 3. Now ADD half and SUBTRACT half from each side.
Answer:
50
Step-by-step explanation:
I have set up an equation, where 'x' is the larger number:
x + (x - 12) = 88
Solve for 'x':
x + (x - 12) = 88
x + x - 12 = 88
2x - 12 = 88
2x -12 + 12 = 88 + 12
2x = 100
2x/2 = 100/2
x = 50
The larger number should be 50.
Answer:50
Step-by-step explanation:
pls i need it aaaaaaaahg
Answer:
5.1
Step-by-step explanation:
Answer:
1.7√9.18
= 5.4
Hope it helps
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (−8,8) Midpoint: (−7,0)
Answer:
(-6, -8)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply set our variables to what we know and solve:
-7 = (-8 + x)/2
-14 = -8 + x
x = -6
0 = (8 + y)/2
0 = 8 + y
y = -8
Answer:
The other endpoint is (-6,-8).
Step-by-step explanation:
If you follow the slope that the two points made (Endpoint: (−8,8) Midpoint: (−7,0), the slope is -[tex]\frac{-8}{1}[/tex] ) you follow it down like this:I hope this helps
pls help me with 15 and 16 I will make u brianlist thank u:)
Answer:
15. c
16. b
i hope you figure out later in life how to solve.
Answer:
A, D
Step-by-step explanation:
When you are writing an indirect proof, the first step is to temporarily assume that the opposite of what is given is true.
Because of this, that would mean that you would have to temporarily assume x>6, because the first step is to assume the wrong thing, making the answer A.
Same thing for number 16. It is giving you that n is an odd number, so you can temporarily say that n^2 is an even, since an odd times an odd it always going to equal an even, making the answer D.
Can someone help? Two players take turns placing multiple chess kings on the cells of a 9×9 chess board, one king per move, so that the kings do not beat each other. (The color of a king piece does not matter.) The player who cannot make a move loses. Which player is the winner?
Answer:
the first player wins
Step-by-step explanation:
The first player can always win if they adopt this strategy:
1. make the first move in the center of the board
2. make every subsequent move in the position that is the image of the 2nd player's move, reflected across the center.
Hence if the 2nd player can make a move, so can the first.
3/8 is 4 & 3/5 % of what number? (Round to the nearest hundredth.)
Answer:
n = 8.15
Step-by-step explanation:
3/8 is 4 & 3/5 % of what number?
Rewrite this as: 3/8 is (4 3/5)% of what number?
Convert 4 3/5% into a decimal: 0.046
Then write out and solve the equation 3/8 = 0.046n, where n is the unknown number.
Dividing both sides by 0.046, we get n = 8.15
20 POINTS! An 85-foot wire is tied from the top of a utility pole to the top of the building as shown. Find d, the distance from the pole to the building.
Answer:
d = 78.810 feetStep-by-step explanation:
To find the distance d we use sine
sin∅ = opposite / hypotenuse
d is the opposite
the hypotenuse is 85ft
∅ = 68°
sin 68 = d / 85
d = 85 sin 68
d = 78.810 feet
Hope this helps you
Find the value of the trigonometric ratio, tan X.
Answer:
A. 24/7
What are sine, cosine, and tangent?
SOH - CAH - TOA
sine = opposite/hypotenuse
cosine = adjacent/hypotenuse
tangent = opposite/adjacent (that is not hypotenuse)
Step-by-step explanation:
tanX = ZY/XY = 48/14 = 24/7
Answer:
24/25
Step-by-step explanation: opposite side
The tangent of the angle X is tan X = ------------------------ = 48/50 = 24/25
adjacent side
If the gradient is negative or positive how will it be Please i need it now! Thanks
Answer:
A gradient is negative if it goes down to the right corner and positive if it goes up to the right corner of a graph.
Step-by-step explanation:
10) Spike drives for 50 miles at 60mph. He slows down and travels
another 50 miles at 40mph. For the final part of the 120 mile journey,
he speeds up to 80mph. How long does he take altogether? What is
his average speed (to the nearest mph)?
Answer:
2 1/3 hours or 2 hours 20 minutes.
51.4 mph to 1 decimal place.
Step-by-step explanation:
Time = distance speed
First 50 miles time taken = 50 / 60 = 5/6 hours
Second 50 miles - time = 50/40 = 5/4 hours.
Final 20 miles - time taken = 20 / 80 = 1/4 hours.
Total time taken = 5/6 + 5/4 + 1/4
= 5/6 + 6/4
= 10/12 + 18/12
= 28/12
= 7/3 or 2 1/3 hours or 2 hours 20 minutes.
Average speed = total distance / total time
= 120 / 7/3
= 120 * 3/7
= 51.4 mph to 1 decimal place.
Question 5 of 10
Solve the system of equations below by graphing both equations with a
pencil and paper. What is the solution?
y = 3x - 4
y=-2x+1
A: (0, -4)
B. (2, 2)
C. (3,5)
D. (1,-1)
Answer:
D.(1,-1)
Step-by-step explanation:
A positive plus a negative would be a negative but the negative number is less than the positive then you'll have to subtract them both
Answer:
D. 1, -1
Step-by-step explanation:
Trust me g
A gambler loses $100 Saturday night and wins $65 on Sunday. What is the gambler’s total loss or gain? Express your answer as an integer.
Answer:
-35 dollar net loss
Step-by-step explanation:
Since the gambler won $65 but still lost $100, we can see that we would still have a negative net loss.
GPAs at CCSU are normally distributed with a mean of 2.38 and a standard deviation of 0.45. Find the z-score for a GPA of 3.06. and discuss the significance of the z-score.
Step-by-step explanation:
Z-score = (score-mean)/standard deviation
= (3.06-2.38)/0.45
= +1.51
The significance of z-score will be "1.5111".
Given values are:
Mean,
[tex]\mu = 2.38[/tex]
Standard deviation,
[tex]\sigma = 0.45[/tex]
GPA,
[tex]\bar x = 3.06[/tex]
Now,
→ The z-score will be:
= [tex]\frac{\bar x - \mu}{\sigma}[/tex]
By putting the given values, we get
= [tex]\frac{3.06-2.38}{0.45}[/tex]
= [tex]\frac{0.68}{0.45}[/tex]
= [tex]1.5111[/tex]
Learn more about standard deviation here:
https://brainly.com/question/5778359
State if a triangle is acute, obtuse, or right.
A) Obtuse
B)Acute
C)Right
ANSWER QUICK 10 POINTS!!
Answer:
acute
Step-by-step explanation:
Determine the surface area of a sphere with a diameter of 16 cm. Question 4 options: A) 804.2 cm2 B) 1,024 cm2 C) 201.0 cm2 D) 3,216.9 cm2
Answer:
The answer is option A.
804.2cm²Step-by-step explanation:
Surface area of a sphere is 4πr²
where r is the radius
radius = diameter / 2
radius = 16/2 = 8cm
Surface area of the sphere is
4π (8)²
= 4(64)π
= 256π
= 804.2cm²
Hope this helps you.
2(x+3)=x-4 i really need help on this plss
Answer:
X = -10Step-by-step explanation:
[tex]2(x + 3) = x - 4[/tex]
Multiply each term in the parenthesis by 2
[tex]2 x + 6 = x - 4[/tex]
Move variable to L.H.S and change its sign
[tex]2x - x + 6 = - 4[/tex]
Move constant to R.H.S and change its sign
[tex]2x - x = - 4 - 6[/tex]
Calculate
[tex]x = - 10[/tex]
Hope this helps...
Good luck on your assignment...
2. Points A, B and C are all on the
circumference of the circle.o
represents the centre.
DA and DB are tangents to the
circle. Angle BDO = 31
Work out the size of angle.
Question
Points A, B and C are all on the
circumference of the circle. O represents the centre. DA and DB are tangents to the circle. Angle BDO = 31°
Work out the size of angle x
Answer:
62°
Step-by-step explanation:
To solve for the above question, we would be using circle theorems.
Step 1
Angle OBD = 90° This is because a radius and a tangent meet at 90°
Step 2
The sum of Angles in a triangle = 180°
180° = Angle OBD + Angle BDO + Angle BOD
180° = 90° + 31° + Angle BOD
Angle BOD = 180° - (90° + 31°)
= 180° - 121°
Angle BOD = 59°
Step 3
Angle BOD = Angle AOD because they are congruent ,therefore, Angle AOD = 59°
Step 4
The sum of angles of a straight line = 180°
Angle BOD, Angle AOD and Angle x are angles on a straight line
Hence,
180° = Angle BOD + Angle AOD + Angle x
180° = 59° + 59° + x
x = 180° - ( 59 + 59)°
x = 180° - 118°
x = 62°
Therefore Angle x = 62°
In how many ways can you put seven marbles in different colors into two jars? Note that the jars may be empty.
Answer:
128
Step-by-step explanation:
You have two jars and seven marbles.
You do [tex]2^{7}[/tex].
That is 128