Answer:
6 more times
Step-by-step explanation:
trust :)
the are of the circle below is 28.26 ft. squared. What is the diameter
Answer: 8.06 Inches
The area of the circle is 28.26 ft². 3. The diameter of the circle is 8.06 inches.
How many real solutions does the equation have? y=x² + 4x - 6
There are 2 real solutions for the quadratic equation y=x²+4x-6.
What is meant by quadratic function?A second-order polynomial equation in one variable, x, using the formula ax2+bx+c=0, is known as a quadratic equation. A polynomial of degree two in one or more variables in mathematics is known as a quadratic polynomial. Any polynomial function that is defined by a quadratic polynomial is said to be quadratic. The terms "quadratic polynomial" and "quadratic function" were practically interchangeable until the 20th century since it was difficult to tell a polynomial from its corresponding polynomial function. A quadratic function with only one variable, for instance, has the following form:
The quadratic equation presented is y=x²+4x-6
We must ascertain how many possible solutions exist for this function.
x²+4x-6.
x²+4x-6=0
= (-4±√16-4(1)(-6))/2
=(-4±√-40)/2
= -2±10
Therefore, there are 2 real solutions for the quadratic equation
y=x²+4x - 6.
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1/12^-2 using positive exponents
\(\Large\Box\underline{\textsf{A. What is Asked}}\)
Evaluate \(\bf{\dfrac{1}{12^{-2}}}\)
\(\Large\Box\underline{\textsf{B. This problem has been solved!}}\)
\(\boxed{\begin{minipage}{9cm} \text{If we have negative exponents in the denominator} \\ \text{we turn over the number,} \\ \text{leaving positive exponents only.} \end{minipage}}\)
Thus,
\(\bf{\dfrac{1}{12^{-2}}=\dfrac{12^2}{1}}\). | see, the negative exponent turned into a positive one as soon as the fraction was turned over.
\(\bf{144}\)
\(\cline{1-2}\)
\(\bf{Result:}\)
\(\bf{=144}\)
Extra information \(\curvearrowright\)\(\begin{tabular}{c | 1} Expression & Exponent Rule\\\cline{1-2} \\ x^m*x^n & add the powers \\ x^m\div x^n & subtract the powers \\(x^m)^n & multiply the powers \\ x^{-m} & turn over the number \\ x^0 & this equals one\end{tabular}\)
\(\LARGE\boxed{\bf{aesthetic\not1\theta\ell}}\)
You want to be able to withdraw $25,000 each year for 15 years. Your account earns 4% interest. How much do you need in your account at the beginning?
You need in your account at the beginning is $277,959.69
What is Interest Rate?
The percentage of the principal amount, charged by the lender or bank to the borrower for the use of its assets or money for a specific time period. The interest rate formula is interest is :
Interest Rate = (S.I x 100)/ (Principal x Time).
Now, It is given that
You want to be able to withdraw $25,000 each year for 15 years. Your account earns 4% interest.
Rate (r) = 4% = 0.04
Period (t) = 15 years
Yearly withdrawal = P= $25,000
Using the present value formula (PV) :
Present Value (PV) = P[(1 - (1 + r)^-n) / r]
PV = 25,000((1 - (1 + 0.04)^-15) / 0.04)
PV = $277,959.69
Hence, You need in your account at the beginning is $277,959.69
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6. If A and B are supplementary angles
and mA = 8m ZB, find m2 A and m2 B.
[A] 78.75, 11.25
[C] 160, 20
[B] 80, 10
(D) 157.5, 22.5
Answer:
C) 160, 20-----------------------
Given:Angles A and B are supplementary,Angle A is 8 times the angle B.Find the angle measures:We know supplementary angles sum to 180 deg:
m∠A + m∠B = 180,And we are given:
m∠A = 8 m∠BSubstitute the second equation into the first one and solve for m∠B:
8m∠B + m∠B = 1809m∠B = 180m∠B = 180/9m∠B = 20Find m∠A:
m∠A = 8*20m∠A = 160Correct choice is C.
I need to know how how to do these please.
The scatter plot shows negative correlation because as the plotted values of x increase, the values of y generally decrease.
What is negative correlation?When two variables are said to have negative correlation, it means that they move in the opposite direction from each other. When one variable is increasing, the other variable is decreasing.
The values of x and y in order of x are:
x 3 4 5 6 7 8 9
y 6 7 5 4 3 4 2
As shown above, when x increases, y generally decreases and when x decreases, y generally increases. This is therefore a negative correlation relationship.
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An ant colony is built by 200 ants. The number of ants triples each week. How many ants will be in the colony at the end of the eighth week?
Last week, Alan drove 196 miles. This week, he drove m miles. Using m, write an expression for the total number of miles he drove in the two weeks.
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters
Answer:
660.4 Millimeters
Step-by-step explanation:
The conversion for inches to millimeters is 25.4, therefore to get the answer. I multiplied 26 by 25.4
25 8 25.4 = 660.4 Millimeters
Given that cos x = 3/5 and 0
Answer:
What do we have to do in this? Find x? Let me know I'll explain it in the comment section
the sum of two number is 63the smaller number is 17 less than the larger number.what are the number
Answer:
The larger number is 40, and the smaller one is 23.
Step-by-step explanation:
Let x be the larger number.
Let x - 17 be the smaller number.
x + (x - 17) = 63
2x - 17 = 63
2x = 80
x = 40
Hence, the smaller number is 40 - 17 = 23.
Hope this helped!
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
One number is nine less than another. Their sum is negative twenty-seven.
Answer:
-18 and -9
Step-by-step explanation:
Let x = the smaller number
Let y = the bigger number
One number is nine less than another:
⇒ x = y - 9
Their sum is negative twenty-seven:
⇒ x + y = -27
Substitute the first equation into the second and solve for y:
⇒ x + y = -27
⇒ (y - 9) + y = -27
⇒ 2y - 9 = -27
⇒ 2y - 9 + 9 = -27 + 9
⇒ 2y = -18
⇒ 2y ÷ 2 = -18 ÷ 2
⇒ y = -9
Substitute the found value of y into the first equation and solve for x:
⇒ x = y - 9
⇒ x = -9 - 9
⇒ x = -18
Therefore, the two numbers are -18 and -9.
Given: Circumscribed polygon ABCD AB=21, BC=24, CD=30 Find: AD AD = ____ units
Answer:
AD = 27 units
Step-by-step explanation:
In the above question, we have a circumscribed Polygon, were circle XYZ is inside the polygon ABCD
We were given the following side
AB=21 units
BC=24 units
CD=30 units
Side AB = AW + BW
21 units = x + 21 - x
Side BC = BX + CX
BX = BW , hence BX = 21 - x
Side BC = 21 units
24 = 21 - x + CX
CX = 24 - (21 - x)
CX = 24 - 21 + x
CX = 3 + x
Side CD = CY + DY
Note that: CY = CX, hence, CY = 3 + x
Side CD = 30 units
30 = 3 + x + DY
DY = 30 - (3 + x)
DY = 30 - 3 - x
DY = 27 - x
Side AD = AZ + DZ
Note also that:
AZ = AW , hence AZ = x
DY = DZ , hence DZ = 27 - x
Side AD = x + 27 - x
Side AD = 27 units
The graph of a quadratic function intercepts the x-axis in two places and the y-axis in one place.
According to the fundamental theorem of algebra, which of the following statements is correct?
0
The quadratic function has no real zeros and two complex zeros.
The quadratic function has two distinct real zeros.
The quadratic function has one distinct real zero and one distinct complex zero.
D.
The quadratic function has two distinct real zeros and one distinct complex zero.
9514 1404 393
Answer:
The quadratic function has two distinct real zeros.
Step-by-step explanation:
The fundamental theorem of algebra says the number of zeros is equal to the degree of the polynomial. A quadratic (2nd degree) will have two zeros.
We are given that the function has two x-intercepts (real zeros), so we can conclude ...
The quadratic function has two distinct real zeros.
At a baseball game a vendor sold a combined total of 136 sodas and hotdogs. the number of soda sold was three times the number of the hotdogs sold. find the number of sodas in the number of hotdogs sold
Answer:
Step-by-step explanation:
Let's call the number of hotdogs sold "x". According to the problem, the number of sodas sold is three times the number of hotdogs sold, or 3x.
We know that the total number of sodas and hotdogs sold is 136. So we can set up an equation:
x + 3x = 136
Simplifying this equation, we get:
4x = 136
Dividing both sides by 4, we get:
x = 34
This means that 34 hotdogs were sold. To find the number of sodas sold, we can multiply the number of hotdogs sold by 3:
3x = 3(34) = 102
So, 102 sodas were sold.
The difference in the x coordinates of two points is 3, and the difference in the y coordinates of the two points is 6.
What is the slope of the line that passes through the points?
O 2
O 3
O 6
O 9
Answer:
2
Step-by-step explanation:
Slope =( difference in the y coordinates)/ (difference in the x coordinates)
= 6/3
= 2
How many teaspoons are there in 3 milliliters? Hint: 1 mL ≈ 0.2 tsp Round your answer to the nearest tenth
Answer:
.6 tsp
3 x .2 = .6
I need to know about the same time as the first time in the world of the most important thing is that the only one of the
Answer:
?
Step-by-step explanation:
What did you Ssayyy? Umm yeah so the text kinda cut off at the end, looks like you were clicking the middle button on ur keyboard
Factorise the expressions.
Answer:
Q.1 lx²+mx
=x(lx+m)
Q.2 x² - ax - bx + ab
= x(x - a) - b(x - a)
=(x - b)(x - a)
Q.3 6ab - b²+ 12ac - 2bc
= b(6a - b) - 2a(6a - b)
=(b - 2a)(6a - b)
The dock foreman gets to work each day at 5:30 A.M. He goes to lunch at 11:01 A.M. and gets back to work at noon. He goes home for the day at 3:20 P.M.
How many hours does the foreman work in a 5−day work week?
Answer:
The foreman works approximately 44 hours in a 5−day workweek.
Step-by-step explanation:
In one day the dock foreman works the following hours:
\(t = (11 h + 01 min*\frac{1 h}{60 min}) - (5 h + 30 min*\frac{1 h}{60 min}) + 15 h + 20 min*\frac{1 h}{60 min} - 12 h = 8.85 h = 8 h + 51 min\)
Now, in 1 5-day work week the man works:
\(T = 5*t = 5*8.85 h = 44.25 h = 44 h + 15 min\)
Therefore, the foreman works approximately 44 hours in a 5−day workweek.
I hope it helps you!
The sum of a number and 3 is less than or equal to 8
Answer:
m ≤ 5
Step-by-step explanation:
I will begin by assuming m to be the number.
Then, the sum of m and 3 is: m + 3.
The symbol for "less than or equal to" is ≤.
So we form an inequality, like this :
m + 3 ≤ 8
To find m subtract 3 on each side:
m ≤ 5
Therefore, m ≤ 5.
Given the equation below
25n+54=
Answer:
n=-2.16
Step-by-step explanation:
1. put zero after equal sign (25n+54=0)
2. subtract 54 from zero (54-0=-54)
3. then youre left with (25n=-54) so you then cancel out the 25n by doing (25/25=0) so then you have to do the same to the other side (-54/25=-2.16)
4. so the answer would be (n=-2.16)
The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable. A mapping diagram with one circle labeled x values containing values negative 3, negative 1, 1, 3, and 5 and another circle labeled y values containing values 0, 2, and 5 and arrows from negative 3 to 0, negative 1 to 2, 1 to 0, 3 to 2, and 5 to 5. Is the relation a function? Explain. No, because for each input there is not exactly one output No, because for each output there is not exactly one input Yes, because for each input there is exactly one output Yes, because for each output there is exactly one input
Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.
To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.
From the given mapping diagram, we can see that:
The input value -3 is associated with the output value 0.
The input value -1 is associated with the output value 2.
The input value 1 is associated with the output value 0.
The input value 3 is associated with the output value 2.
The input value 5 is associated with the output value 5.
As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.
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Brianna made 9 1/4 bags of popcorn for a movie night with some friends. Together they ate 4 bags of it. How much popcorn was left?
There were 5 1/4 bags of popcorn left after eating 4 bags.
To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.
Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:
9 1/4 = (4 * 9 + 1) / 4 = 37/4
Now, let's subtract the 4 bags eaten from the total:
37/4 - 4
To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:
37/4 - 4/1
Now, let's find a common denominator and subtract the fractions:
37/4 - 16/4 = (37 - 16) / 4 = 21/4
The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:
21/4 = 5 1/4
Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.
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Which expression has a value of 0?
My Question:
Is there any answer choices?
Is this a
function?
Why or why not
On a tree farm, a forester wants to estimate the total number of trees with diameters exceeding 12 inches. A map of the farm is available. Discuss the problem of choosing appropriate sampling units and an appropriate frame.
Answer:
The problems associated with choosing appropriate sampling units and frame are given below;
Step-by-step explanation:
1. The only aid available to the forester or researcher is a map of the farm.
2. Appropriate sampling units will be hard to choose because farm trees are only characterized by attributes such as
- type of crop/plant (as all trees of a certain crop are much likely to have similar width or diameter)
- height of tree (as height is closely related to width)
- location of tree on the farm (e.g. North on the map, East on the map, South on the map, West on the map)
- age of tree (as older trees are more likely to have diameters exceeding 12 inches, than the younger trees)
- etcetera.
3. Appropriate frame (size) of sample will be hard to choose because a number of trees cannot just be selected from the total number of trees, if the categorization for sampling units is uncertain.
What is the length of EF in the right triangle below?
D
26
10
E
F
The measure of side length EF in the right triangle is 24.
What is the measure of side length EF?The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c² = a² + b²
From the diagram:
Hypotenuse DE = c = 26
Leg DF = a = 10
Leg EF = b = ?
Plug in the values and solve for b:
c² = a² + b²
26² = 10² + b²
676 = 100 + b²
b² = 676 - 100
b² = 576
b = +√576 ( we take the positive value since we are dealing with dimensions)
b = 24
Therefore, the length EF is 24.
Option C)24 is the correct answer.
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Choose the best selection for the
quadrilateral with vertices at the
following points:
(-3,0), (-3,-3), (0,-3), (0,0)
Hint: Start by graphing the points.
Distance Formula: d = √(x2-x₁)² + (Y2 − ₁)²
A. Trapezoid
C. Rectangle
B. Rhombus
D. Square
Answer:
D. Square
Step-by-step explanation:
You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).
GraphA graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.
The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.
The figure is all of a rectangle, rhombus, and square.
The most specific name for the figure is Square.
__
Additional comment
A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.
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