Answer:
C
Step-by-step explanation:
Solve the equation.
x² + 6x+15=0
Answer:
x = -3 + i√6 and x = -3 - i√6
Step-by-step explanation:
Let's apply the "completing the square" method to find the roots of this equation.
Take half of the coefficient 6 of x, square it and add this result to x^2 + 6x. Then subtract the same quantity:
x^2 + 6x + 15 becomes
x^2 + 6x + 3^2 - 3^2 + 15 = 0
Rewriting the first three terms as the square of a binomial, we ge:
(x + 3)^2 - 9 + 15 = 0, which simplifies to:
(x + 3)^2 + 6 = 0, or (x + 3)^2 = -6
Taking the square root of both sides:
x + 3 = ±i√6
Then the two roots are complex:
x = -3 + i√6 and x = -3 - i√6
What is the predicted value of fuel efficiency (in miles per gallon) for a car with a 2.5 cubic liters engine? Round your answer to two decimals, if needed.
Answer:
25.92
Step-by-step explanation:
Fuel efficiency is the measure or effort that is required to convert the chemical energy in the fuel to the kinetic energy which the cars needs to move. It is meant by how good or effectively the fuel is utilized by the vehicle. It is the ability of the engine to extract more energy from the fuel.
In the context, the size of the engine is 2.5 cubic liters. Then the predicted value of the fuel efficiency will be 25.92 miles per gallon.
A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is
proportional, how many calories are there in 180 crackers?
x х
12
15
y
60
75
36 calories
108 calories
720 calories
900 calories
PLEASE HELP QUICK!!
85% of all teachers work in the summer. If you sample 6 random teachers, what is the probability they all work over the summer?
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given parameters
Percentage of all teachers the works in summer = 85%
Number of teachers sampled = 6 teachers
Unknown:
The probability that they all work in summer = ?
Solution:
Now, to solve this problem, let us find the number of teachers that works in summer from the given size;
Number of teachers = 85% x 6 = 5.1;
Since it is not possible to have 5.1 people, the number of teachers will be 5
The probability = [tex]\frac{5}{6}[/tex]
Which of the following inequalities is correct?
Answer:
B
Step-by-step explanation:
please help me i’m so confused
Solve the equation.
8 (2-6v) +19=-61
Answer:
v = 2
Explanation:
8(2 − 6v) + 19 = −61
[ Simplify both sides of the equation ]
8(2 − 6v) + 19 = −61
(8)(2) + (8)(−6v) + 19 = −61 (Distribute)
16 + −48v + 19 = −61
(−48v) + (16 + 19) = −61 (Combine Like Terms)
−48v + 35 = −61
−48v + 35 = −61
[ Subtract 35 from both sides ]
−48v + 35 − 35 = −61 − 35
−48v = −96
[ Divide both sides by -48 ]
−48v / -48 = −96 / -48
v = 2
- PNW
If $2000 is deposited into an account paying simple interest of 6% per year on a monthly basis, in how many months will this account increase by $90?
A. 22
B. 15
C. 9
D. 4
34 − 23⋅ (5 − 2) − 60
Answer:
-95
Step-by-step explanation:
Follow order of operations,
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Make sure to do them left to right
A flagpole casts a shadow that is 24 ft long at the same time you cast a shadow that is
4.5 ft long. If you are 6 ft tall, how tall is the flagpole?
Answer:
32 ft tall
Step-by-step explanation:
24 divided by 4.5 is 5.3 repeating. 6 times 5.3 is around 32
The new owners of Bluegrass Natural Foods, Inc., have hired you to help them diagnose and cure problems that the company has had in maintaining adequate liquidity. As a first step, you perform a liquidity analysis. You then do an analysis of the company’s short-term activity ratios. 3
Your calculations and appropriate industry norms are listed.
Current ratio bluegrass 4.5 industry norms 4.0
Quick ratio bluegrass 2 industry norms 3.1
Inventory turnover bluegrass 6 industry norms 10.4
Average collection period bluegrass 73 days industry norms 52 days
Average payment period bluegrass 31 days industry norms 40 days
a. What recommendations relative to the amount and the handling of inventory could you make
to the new owners?
b. What recommendations relative to the amount and the handling of accounts receivable could
you make to the new owners?
c. What recommendations relative to the amount and the handling of accounts payable could you
make to the new owners?
Answer:
I don't understand make is more simplify
What is the domain of the relation (8, -2), (4, -2), (-3, 2), (-5, -3)?
A. {8, 4, 3, -5}
B. {-8, -4, 3,5}
C. {-5, -3, 4, 8}
D. {-3, -2, 2}
Answer:
C
Step-by-step explanation:
Domain (and range) don't necessarily have to be in smallest to largest order unless your teacher requires it, so don't worry about the order.
Let's remind ourselves that the domain is the input value, or the x value, and y is the output value, or the y value. We know that in an ordered pair, the first # is x and the second # is y (because x comes before y in the alphabet). Lets look at our ordered pairs and see what the x values are.
{(8, -2), (4, -2), (-3, 2), (-5, -3)}
The x values are 8, 4, -3, and -5, therefore:
Domain: {8,4,-3,-5}
Range would equal all the y values. Remind yourself that if an x value is repeated to only write it down ONCE.
Remember, the order does not matter, so the answer would be C.
Hope this helped!
What is the slope of the graph of
4x + 3y = 15?
Answer:
-4/3
Step-by-step explanation:
y=mx+b
3y=-4x+15
y= -4/3 x +5
m is slope b is y intercept
The area
The area of a triangle ABC is 64 cm². Given AB = 11 cm and BC = 15 cm, Find ABC. Trying to find angle B.
Answer:
∠B ≈ 50.9°
Step-by-step explanation:
The area formula for a triangle can be used to find the missing angle.
Area formulaWe don't want confusion between A for area and angle A, so we define Q as the area of the triangle with sides a, c, and included angle B. In this scenario, 'a' represents side BC (opposite angle A), and 'c' represents side AB (opposite angle C).
Q = (1/2)ac·sin(B)
Unknown angleSolving for B, we have ...
2Q/(ac) = sin(B)
B = arcsin(2Q/(ac)
B = arcsin(2(64)/(11(15)) = arcsin(128/165)
∠B ≈ 50.9°
Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?
Answer:
He would make 300 dollars.
Step-by-step explanation:
15 x 5 = 75
75 x 4 = 300.
Answer:
answer is 300
Step-by-step explanation:
Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..
Hopes this help.
A friend recently planned a camping trip. He had two flashlights, one that required a single 6-V battery and another that used two size-D batteries. He had previously packed two 6-V and four size-D batteries in his camper. Suppose the probability that any particular battery works is p and that batteries work or fail independently of one another. Our friend wants to take just one flashlight. For what values of p should he take the 6-V flashlight
Answer:
The values of p = 0 < p ≤ 2/3
Step-by-step explanation:
First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable
P ( 6v flashlight working ) = P ( at least one 6V battery works )
= P ( 1 6v battery work ) + P ( 2 6v battery work )
= b( 2; 2, p ) + b( 1; 2, p )
write out a formula of b( 2; 2, p ) + b( 1; 2, p )
P ( 6v flashlight working ) = p^2 + 2p( 1 - p )
Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable
P ( D flashlight works ) = p ( at least two D batteries works )
= b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
write out a formula of b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )
P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]
attached below is the remaining solution
how to find rations in triangles
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
Step-by-step explanation:
If someone can just answer the first question that would be so helpful plzzz
Answer:
I'm guessing that when you graph it, the graph changes direction when it's not on the x-axis. the "real zeros" of a graph are the ones that go through the x-axis and then imaginary ones are the ones that don't.
Step-by-step explanation:
An astronaut who weighs 95 kilograms on Earth weighs 15.8 kilograms on the Moon. How much would a person weigh on the Moon if they weigh 105 kilograms on Earth? Round your answer to the nearest tenth, or one decimal place.
please help me
Which is smaller, one-ninth of 54 or one-fourth of 36?
Answer:
one-ninth of 54
Step-by-step explanation
54*1/9=6
36*1/4=9
Answer:
1/9 of 54 is smaller than 1/4 of 36
Step-by-step explanation:
1/9 of 54 is 54/9 and that is 6
1/4 of 36 is 36/4 and that is 9.
Please mark brainliest
HELP PLEASE!!!! WILL GIVE 100 POINTS
Answer:
w to r to a
Step-by-step explanation:
e to c to p
Answer:
w to r to a
Step-by-step explanation:
Find the equation of the purple line.
Answer:
Y-3/5x+2
Step-by-step explanation:
The length of a rectangle is 3 centimeters less than five times its width. Its area is 14 square centimeters. Find the dimensions of the rectangle. W= L=
Step-by-step explanation:
Let breadth =x
Length=5x-3
As we know that in a rectangle
[tex]\boxed{\sf Area=lb}[/tex]
Substitute the values[tex]{:}\hookrightarrow\sf x (5x-3)=14 [/tex]
[tex]{:}\hookrightarrow\sf 5x^2-3x=14[/tex]
[tex]{:}\hookrightarrow\sf 5x^2-3x-14=0 [/tex]
[tex]{:}\hookrightarrow\sf 5x^2-10x+7x-14=0 [/tex]
[tex]{:}\hookrightarrow\sf 5x (x-2)+7 (x-2)=0[/tex]
[tex]{:}\hookrightarrow\sf (x-2)(5x+7)=0 [/tex]
[tex]{:}\hookrightarrow\sf x-2=0\quad or\quad 5x+7=0 [/tex]
[tex]{:}\hookrightarrow\sf x=2\:or\:x=\dfrac {-7}{5}[/tex]
Ignore negative value[tex]{:}\hookrightarrow\sf Breadth =2cm[/tex]
[tex]{:}\hookrightarrow\sf Length=5 (2)-3=10-3=7cm[/tex]
7x - 2 = 9x+5
Please help!!
Answer:
x=-7/2
Step-by-step explanation:
Answer:
x = -7/2 or -3.5
Step-by-step explanation:
7x - 2 = 9x + 5
Add 2 to both sides
7x = 9x + 7
Subtract 9x from both sides
-2x = 7
Divide both sides by -2
x = -7/2
x = -3.5
Find the arc length of a 80° slice of a large 15 in. radius pizza.
Answer:
20.93 inStep-by-step explanation:
Arc length formula:
s = 2 π r (θ/360°)Substitute values:
s = 2*3.14*15(80/360) = 20.93 inPLEASEEEE HELP ME!!!!!
Answer:
look it up on tiger algerbra
Step-by-step explanation:
Answer:
3 TIMES 2 DONT EQUAL 7
Step-by-step explanation:
determine whether the decimal is terminating repeating or irrational 0.4286
Answer:
irrational decimal
Step-by-step explanation:
It can't be repeated, can't go on forever, so it is an irrational decimal.
162 divided by 4.1 estimate
Answer:
40
Step-by-step explanation:
162/4.1= 39.51 round to 40
The solution of the equation after dividing would be 40.
Used the concept of the divide that states,
The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.
Given that,
162 divided by 4.1
Now divide the numbers,
162 divided by 4.1
It can be written as,
162 ÷ 4.1
162 / 4.1
1620/41
This gives,
39.512
Rounded to whole numbers,
40
Therefore, the solution is 40.
To learn more about the divide visit:
brainly.com/question/28119824
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in 2017, the price of a Forever stamp from the United States Postal Service was $0.49. How many Forever stamps could be purchased for $30.38?
PLEASE HELP ITS DUE TODAY!!
Answer: 3xy2 and 8xy2
-3x2 and 1/2x2
X2y and 5x2y