Answer:
-45
Step-by-step explanation:
simply 5(9) but since 5 is negative, your final answer will be negative. a negative multiplied or divided by a positive (and vice versa) will always be negative.
given an=-6n+5 find term 17 in the arthimetic sequence
Answer:
107
Step-by-step explanation:
A cuboid hos dimensions of 2 m x 90 cm x 140 cm.
It has a density of 0.8kg/m2
Find the mass of the cuboid.
please help!!???????
Answer:
a)
table:
[tex]\begin{array}{ccccc}&2&3&4\\0&2&3&4\\1&3&4&5\\2&4&5&6\\3&5&6&7\end{array}[/tex]
b) Count the number of occurrances:
i: There are 3 fours in the table of 12 outcomes, so the probability is 3/12 = 1/4
ii: There are 9 outcomes less than six in the table of 12 outcomes, so the probability is 9/12 = 3/4
iii: There are 3 outcomes of 6 or more in the table of 12 outcomes, so the probability is 3/12 = 1/4
Hi. I need help with these questions.
See image for question.
Answer 20 and 21
Answer:
20. The vertex is (2/3, 14/3) | p = 3, q = -2/3 and r = 14/321. 20x² + 2x - 3 = 0Step-by-step explanation:
20.
Giveny = 3x² - 4x + 6To findThe least value of the y and the corresponding value of xConstants p, q and r such that 3x² - 4x + 6 = p(x + q)² + rSolutionThe given is the parabola with positive a coefficient, so it opens up and the minimum point its vertex.
The vertex has x = -b/2a and corresponding y- coordinate is found below:
x = - (- 4)/2*3 = 2/3, and y = 3(2/3)² - 4(2/3) + 6 = 4/3 - 8/3 + 6 = 14/3So the vertex is (2/3, 14/3)The vertex form of the line has the equation:
y = a(x - h)² + k, where (h, k) is the vertexPlugging in the values:
y = 3(x - 2/3)² + 14/3Comparing with p(x + q)² + r, to find out that:
p = 3, q = -2/3 and r = 14/3=====================================
21.
(i) α and β are the roots of: ax² + bx + c = 0
Show that:
α + β = -b/a and αβ = c/aSolutionKnowing the roots, put the equation as:
(x - α)(x - β) = 0x² - αx - βx + αβ = 0x² - (α+β)x + αβ = 0Comparing this with the standard form:
ax² + bx + c = 0Divide by a to make the constants of x² same:
x² + b/ax + c/a = 0Now comparing the constants:
- (α+β) = b/a ⇒ α+β = - b/aαβ = c/a--------------------------------------------
(ii)
Givenα and β are the roots of: 3x² - x - 5 = 0To Find The equation with roots 1/2α and 1/2βSolutionThe sum and the product of the roots:
α + β = -b/a = 1/3αβ = c/a = -5/3The equation is:
(x - 1/2α)(x - 1/2β) = 0x² - (1/2α + 1/2β)x + 1/(2α)(2β) = 0x² - (α + β)/(2αβ)x + 1/4αβ = 0x² - (1/3)/(2(-5/3))x + 1/(4(-5/3)) = 0x² + 1/10x - 3/20 = 020x² + 2x - 3 = 0Which expression is equivalent to
(X^1/2y^-1/4z)^-2
Answer:
y^1/2/xz^2
Step-by-step explanation:
Write the quadratic equation in standard form: x^2+x=-4x^2+16
Answer
-3[tex]x^{2}[/tex] +[tex]x[/tex]+16=0
Step-by-step explanation:
Dominic is looking to buy a cell phone and is comparing cellular plans. Company A charges a $175 start-up fee and
$75 per month for service. Company B does not have a start-up fee, but it charges $97 per month.
175+75m
Use the inequality < 97 to find how many months it will take before the average monthly cost of Company A
m
is less than Company B.
Enter your answer as a number, like this: 42
Answer:
4
Step-by-step explanation:
add up the cost of month one for A then keep adding 75 do the same for B
For less than 8 months the cost of company A remains less than company B.
Given that,
Company A charges a $175 start-up fee and $75 per month for service. Company B does not have a start-up fee, but it charges $97 per month.
To determine how many months it will take before the average monthly cost of Company A.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
According to the question,
175 + 75m < 97m
175 < 97m - 75m
175 < 22m
8 < m
Thus, for less than 8 months the cost of company A remains less than company B.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ2
Athena is playing a game with bianca silver chip are worth 4 point and gold chip are worth 7 point she has 4 gold and 7 silver chip how many point the athena have
Answer:
56 points
Step-by-step explanation:
Given that:
Worth of sliver chip = 4 points
Worth of gold chip = 7 points
If Athena has 4 gold and 7 silver chips ;
Number of points will be ;
(Number of gold * worth of gold Chip) + (number of silver * worth of silver chip)
(4 * 7) + (7 * 4)
28 + 28 = 56 points
Hence, Athena will have 56 points.
Can y’all help me for this test I don’t get it
Answer:
$2.25 per ganola Bar
Step-by-step explanation:
Cost of 4 Bars = $ 9
Cost of 1 Bar = 9/4=2.25
Answer:
The constant of proportionally is 2.25$
Step-by-step explanation:
All you have to do is 9/4=2.25$
Hope this helps!!
Jose unlocks his cellphone by placing his right thumb on a square of 1 centimeter by 1 centimeter at the center of the screen. Upon recognizing his thumbprint, the square expands outward. The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds. What is the perimeter of the square after 1.5 seconds? 16.8 centimeters 19.2 centimeters 20.8 centimeters 29.2 centimeters
Answer:
Step-by-step explanation:
We can solve this question using proportion
Perimeter of the square/Time is takes to unlock
We are told in the question that:
The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds.
Hence, the perimeter of the square after 1.5 seconds is:.x = unknown
32/2.5 = x/1.5
Cross Multiply
2.5x = 32 × 1.5
x = 32 × 1.5/2.5
x = 19.2 centimeters
what does 3x^2+8x-10 equal?
Answer:
0.927
Step-by-step explanation:
just plug it in to a algebraric calculator!
Divide the square root of 81 by the difference between the product of-1 and -3 and the square root of 4
Answer: [tex]\frac{9}{1}[/tex]
Step-by-step explanation:
FIrst find the square root of 81.
[tex]\sqrt{81} = 9[/tex]
The square root of 81 is 9.
FInd the product of -1 and -3 by multiplying the -1 by -3.
-1 * -3 = 3
next find the square root of 4.
[tex]\sqrt{4} = 2[/tex]
Now it said divide the square root of 81 which is 9 by the difference between 3 and 2 and the difference between 3 and 2 two is 1.
Thos means that the answer will be 9/1.
When solving the problem 4 + 36 / 2 - 3^2, Kerry got the answer 13 and Katie got the
answer 11, Which student got the correct answer? What did the student who got the
incorrect answer do wrong?
The Statue of Liberty is about 300 feet tall and about 30 feet wide. The town of Unionville is building a smaller model for their Fourth of July celebration. Unionville's statue will be 3 feet wide. How tall should Unionville's statue be?
A ball is dropped from the top of the Washington Monument which is 555 feet high.
a) How long will it take for the ball to hit the ground?
b) Find the ball's speed at impact.
this is calculus terms, not physics.
Answer:
Time taken t = 5.88 sec (Approx)
Final velocity v = 188.46 ft/s (Approx)
Step-by-step explanation:
Given:
Height h = 555 ft
Initial velocity u = 0 ft/s
Gravitational acceleration g = 32 ft/s²
Computation:
h = ut + 1/2(gt²)
555 = 1/2(30)(t²)
Time taken t = 5.88 sec (Approx)
Final velocity v = u + at
Final velocity v = (32)(5.88)
Final velocity v = 188.46 ft/s (Approx)
please help asap!!! i’ll mark you brainlest
Answer:
False
Step-by-step explanation:
First, simplify 6/12, which then equals 1/2
1/6 is not equal to 1/2
So, the answer is false
HELP MEEEEEEEEE PLEWSEEEEEEEEEE
Answer:
option B)
Step-by-step explanation:
a1/a2= 6/1
b1/b2 = 2/3
since a1/a2 is not equal to b1/b2,
lines have a unique solution
hence answer is option B)
Line FG is represented by the equation 8x+3y=10. Which value is the slope of a line perpendicular to line FG
A.-3/8
B.-1/8
C.3/8
D.8/3
Answer:
The correct answer is 3/8
Step-by-step explanation:
It was in my practice and I had gotten it correct.
Answer:
C. 3/8
Step-by-step explanation:
Since line FG is represented by an equation in standard form, Ax + By = C, the slope of the line is equal to -a/b.
So, the slope of line FG is -8/3
Perpendicular lines have opposite reciprocal slopes. So, a line perpendicular to line FG will have a slope equal to 3/8.
PLEASE HELP!! I don’t understand
I don't know what the blanks would be, but this is a function. All numbers in set A go to one number in set B.
A. 3 (x + 2) = 18
B. x + 2 = 6
1) How can we get Equation B from Equation A?
Choose 1 answer:
(Choice A) Add/subtract the same quantity to/from both sides
(Choice B) Add/subtract a quantity to/from only one side
(Choice C) Multiply/divide both sides by the same non-zero constant
(Choice D) Multiply/divide only one side by a non-zero constant
Answer:
c
Step-by-step explanation:
What is that y intercept? Can someone please explain to me how to do this and how you got the answer.
Need Help Fast plsss
Answer:
The answer should be B.) 2yw+y-1
Step-by-step explanation:
For this equation you:
multiply both sides by y Add -2 by both sides.Divide both sides by 2.A 16 oz. latte costs $3.75. If they are sold at the same rate, how much would a 24 oz. latte cost? Round to the nearest tenth.
Answer:5.62
Step-by-step explanation:
An airplane 40,000 feet above the ground begins descending at a rate of 1,500 feet per minute. Write an equation to model the situtation.
Answer:
h(t) = 40,000 - 1,500t
Step-by-step explanation:
Let h(t) be the height of the airplane after t minutes.
h(t) = 40,000 - 1,500t
PLEASEEEEEEEEEEEEEEEEE HELP
Answer:
Step-by-step explanation:
1. Simplifying
8x + 2y = 14
2. Solving
8x + 2y = 14
3. Solving for variable 'x'.
4. Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
8x + 2y + -2y = 14 + -2y
5. Combine like terms: 2y + -2y = 0
8x + 0 = 14 + -2y
8x = 14 + -2y
6. Divide each side by '8'.
x = 1.75 + -0.25y
7. Simplifying
x = 1.75 + -0.25y
In a city in Ohio, the sales tax rate is 5.75%. If the price of a book is $7, what is the total cost of the book including tax?
Answer:
Step-by-step explanation:
Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. The diameter of a pool is 18 centimeters and the depth is 4 centimeters. Not drawn to scale The yard space is large enough to have a pool that has a diameter of 27 feet. If Yolanda wants to keep the pool in proportion to the model, what will be the depth of the pool?
Answer: 6 feet
Step-by-step explanation:
You can use the ratio of the depth to the diameter of the pool in the scale to find out the depth in the yard given the diameter in the yard.
The ratio of the depth to the diameter is;
= 4/18
Given a diameter of 27 feet in the yard, the depth in the yard will be;
= 4/18 * 27
= 6 feet
Answer:
6ft
Step-by-step explanation:
I don’t know how to write this the way it’s supposed to be written but I hope U understand it Y^5/y^2
Answer:
is 14 sorry if i am wrong
Step-by-step explanation:
what is y=3x+6 y=4x i need some help on it
Answer:
I don't fully understand, but if it is a true or false question it is false
Step-by-step explanation:
If y=4x 3x+6=9
4<9
So, in all it would be false.
Jake is comparing the price of 2 laundry service companies company a charges $20 per load in an additional $8 as service charges company B charges $24 per load and an additional $4 as survice charges