The graph of a quadratic is U-shaped.
True or False
Answers
Answer:
True
Step-by-step explanation:
It's called a Parabola
Related Questions
kevin opened a savings account with texas national bank. his account has an apr of 1.75% compounded quarterly. if kevin opens his account with $2500, how long will it take for the account to earn $7500?
Answers
It will take 62.91 years for Kevin to make the amount $2500 to $7500 .
In the question ,
it is given that ,
the amount that Kevin deposited (P) in bank = $2500
the interest rate (r) = 1.75% ,
the compound interest is quarterly ,
So , n is = 4 .
let the time taken to earn $7500 be = x years ;
Substituting the values in the Amount formula for the Compound Interest ,
Amount = P(1 + r/n)ⁿˣ
7500 = 2500(1 + 0.0175/4\()^{4x}\)
Simplifying further ,
we get ,
3 = (1.004375\()^{4x}\)
After applying log both the sides ,
we get ,
log(3) = 4x*log(1.004375)
x = log(3)/(4*log(1.004375))
Simplifying further ,
we have ,
x = 62.91 years .
Therefore , the time taken is = 62.91 years
Learn more about Compound Interest here
https://brainly.com/question/29453448
#SPJ4
a balloon archway has been ordered for decorating high school gym for a 1950 style prom . The archway will contain 275 balloons each holding 1.2 liters of helium. Each balloon has a mass of 27 milligrams when empty and all the string and fixings that hold the balloons together total 45 grams . If helium has a density of 0.1785 grams per liter , what is the mass of the entire archway.
Answers
The mass of the entire archway is 585.32 grams. This is calculated by (275 x 1.2 x 0.1785) + 45 = 585.32 grams.
1. Calculate the mass of the helium in the balloons: (275 x 1.2 x 0.1785) = 49.38 grams
2. Calculate the mass of the string and fixings: 45 grams
3. Add the mass of the helium and the mass of the string and fixings: 49.38 + 45 = 585.32 grams
4. The mass of the entire archway is 585.32 grams.
The mass of the entire archway is 585.32 grams. This is calculated by (275 x 1.2 x 0.1785) + 45 = 585.32 grams.
learn more about mass here
https://brainly.com/question/941818
#SPJ4
if you could give the answer without explanation it would be greatly appreciated
Answers
Answer:
i think its (4, -6)
Step-by-step explanation:
If you count 60 animals of a certain species in a study of a national park and the rate of decay for this species is 3.5% per year, what will the
population of that species be after 10 years?
Answers
Answer:
42 animals
Step-by-step explanation:
The formula for Exponential decay is given as
y = a (1 - r)^t
Where
y = Population after time t
a = Initial population or size = 60 animals
r = rate of decay = 3.5 % per year = 0.035
t = Time = 10 years
Hence,
y = 60 × (1 - 0.035)¹⁰
y = 60 × 0.7002822742
y = 42.016936449 animals
Approximately = 42 animals
Therefore, the population of that species be after 10 years is 42 animals
A movie theater can hold 125 people. It is 2/5 of the way full
. How
many more people can the theater still hold?
Answers
Answer:
People: 75 hope this helps ;)
Step-by-step explanation:
So, we first see that there is a movie theatre that can hold 125 people and it is 2/5 full, so we would do 2/5 x 125 = 50 then we would do 125 - 50 = 75
The Collin Freight Company has an order for three products to be delivered to a
destination. Product I requires 10 cubic feet, weighs 10 pounds, and has a value
of $100. Product II requires 8 cubic feet, weighs 20 pounds, and has a value of $20.
Product III requires 20 cubic feet, weighs 40 pounds, and has a value of $200. If the
carrier can carry 6,000 cubic feet, 11,000 pounds, and is insured for $36,900, how
many of each product can be carried?
Answers
A , B, C are the amounts of each product
10A + 8B + 20C = 6000 <--- volume constraints
10A + 20B + 40C = 11000 <---- weight constraints
100A + 20B + 200C = 36900 <---- $$$$
What is product?Byproducts are things created in a process, typically one that is industrial or biological, in addition to the main result. A byproduct of the sugar refining process is sulfured molasses.
the first two equations together:
10A + 8B + 20C = 6000
10A + 20B + 40C = 11000
first is subtracted from second: 12B + 20C = 5000 3B + 5C = 1250 —- identifies this equation. ALPHA
Connect the second and third equations:
10A + 20B + 40C = 11000
100A + 20B + 200C = 36900
The top equation is multiplied by 10:
100A + 200B + 400C = 110000 —— Weight restrictions
100A + 20B + 200C = 36900 <—— $$$$
takes them away:
180B + 200C = 73100
18B + 20C = 7310
9B + 10C = 3655 —- identifies this equation. ALPHA BETA: BETA: 9B + 10C = 3655 3B + 5C = 1250
ALPHA is multiplied by 3:
9B + 15C = 3750
9B + 10C = 3655
takes them away:
5C = 95\s C = 95/5 = 19
Plugging into BETA yields the following results: 9B + 10(19) = 3655 9B = 3655 - 190 B = 385
Adds to the initial first equation:
10 A + 8(385) + 20(19) = 6000 A=254\s A=254\sB=385\sC=19
To learn more about product refer to:
https://brainly.com/question/25922327
#SPJ1
An office manager orders one calculator or one calendar for each of the office's 80 employees. Each calculator costs $12, and each calendar costs $10. The entire order totaled $900.
Part A: Write the system of equations that models this scenario.
Part B: Use substitution method or elimination method to determine the number of calculators and calendars ordered. Show all necessary steps.
Answers
The number of calculators ordered is 50, and the number of calendars ordered is 30.
let's denote the number of calculators as 'c' and the number of calendars as 'l'.
We can then set up the following equations:
Each employee receives either a calculator or a calendar, so the total number of items should equal the number of employees
c + l = 80
The total cost of the order is $900, with each calculator costing $12 and each calendar costing $10.
12c + 10l = 900
We can solve this system of equations using the elimination method.
Multiply Equation 1 by 10 to make the coefficients of 'l' equal:
10(c + l) = 10(80)
10c + 10l = 800
Subtract the modified Equation 1 from Equation 2 to eliminate 'l':
(12c + 10l) - (10c + 10l) = 900 - 800
2c = 100
c = 50
Substitute the value of c into Equation 1 to solve for l:
50 + l = 80
l = 80 - 50
l = 30
Therefore, the number of calculators ordered is 50, and the number of calendars ordered is 30.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
What is the area of a regular octagon inscribed in a circle of radius 5 meters?
Answers
1) We can visualize that regular octagon inscribed this way:
2) We can decompose that regular octagon as isosceles triangles since this the radius is known
But note that we only have the length of the radius:
3) So let's find the base of the triangle, note that the interior angle is:
Finding the height:
Now, let's find the area of one triangle and then multiply by 8 to get the area of the whole Octagon:
\(\begin{gathered} AJ=5\cdot\sin(67.5)\Rightarrow AJ\approx4.6194 \\ BJ=5\cdot cos(67.5)\approx1.9134 \\ A_{\Delta}=\frac{1}{2}\cdot2\cdot(1.9134)\cdot(4.6194)\approx8.83875996 \\ 8\cdot8.8375996\approx70.7007968\approx70.711m² \end{gathered}\)
What is the area and d. is 10.07
Answers
The area of triangle JHK is 4.18 units²
What is area of a triangle?A triangle is a polygon with three sides having three vertices. There are different types of triangle, we have;
The right triangle, the isosceles , equilateral triangle e.t.c.
The area of a figure is the number of unit squares that cover the surface of a closed figure.
The area of a triangle is expressed as;
A = 1/2bh
where b is the base and h is the height.
The base = 2.2
height = 3.8
A = 1/2 × 3.8 × 2.2
A = 8.36/2
A = 4.18 units²
Therefore the area of triangle JHK is 4.18 units²
learn more about area of triangle from
https://brainly.com/question/17335144
#SPJ1
helpppppppppppppppppp
Answers
Answer:
The mapping diagram above is not a function since -4 in Set A where there is duplication.
Step-by-step explanation:
A polynomal of degree of 2 that has zeros -4 and 2 is
Answers
9514 1404 393
Answer:
f(x) = x^2 +2x -8
Step-by-step explanation:
If p and q are zeros of a quadratic, its factored form is ...
f(x) = (x -p)(x -q)
For your zeros, the factored form is ...
f(x) = (x +4)(x -2)
Expanded using the distributive property, this is ...
f(x) = x(x -2) +4(x -2) = x^2 -2x +4x -8
f(x) = x^2 +2x -8
Solve for h.
7a = -9 + 2h
Answers
Answer: h = 7a + 9 divided by 2
This is hard I need help
Answers
Answer:
140.22 ft²Step-by-step explanation:
Surface area is the sum of areas of 4 triangles.
Each triangle has:
b = 9 ft, h = 7.79 ftArea of each triangle:
A = 1/2bhA = 1/2*9*7.79 = 35.055 ft²Surface area:
S = 4*35.055 = 140.22 ft²Find two positive numbers whose difference is 12 and whose product is 693.
Answers
Let be "x" and "y" the two positive numbers mentioned in the exercise.
You need to remember the following definitions:
- A Difference is the result of a Subtraction.
- A Product is the result of a Multiplication.
In this case, you know that their Difference is 12 and their Product is 693. So you can set up this System of Equations:
\(\begin{cases}x-y=12 \\ xy=693\end{cases}\)You can solve the System of Equation using the Substitution Method:
1. You can solve for the variable "x" from the first equation:
\(x=12+y\)2. Substitute this new equation into the second original equation and simplify:
\(\begin{gathered} xy=693 \\ (12+y)y=693 \\ y^2+12y=693 \end{gathered}\)3. Now you have to solve for "y", in order to find its value:
- Rewrite the equation in this form:
\(ax^2+bx+c=0\)Since it is the variable "y":
\(ay^2+by+c=0\)Then:
\(y^2+12y-693=0\)4. Use the Quadratic Formula to find the values of "y". The formula would be:
\(y=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)In this case:
\(\begin{gathered} a=1 \\ b=12 \\ c=-693 \end{gathered}\)Then, substituting values and evaluating, you get:
\(\begin{gathered} y=\frac{-12\pm\sqrt[]{(12)^2-(4)(1)(-693)}}{(2)(1)} \\ \\ y_1=-33 \\ y_2=21 \end{gathered}\)5. Since the numbers mentioned in the exercise are both positive, you must choose only the positive values. Therefore:
\(y=21\)6. To find the value of "x", you have to substitute the value of "y" into the equation
\(x=12+y\)Then:
\(x=12+(21)\)7. Finally, you have to solve the Addition:
\(x=33\)The answer is:
\(33\text{ and }21\)
Triangle NMO has vertices at N(−5, 2), M(−2, 1), O(−3 , 3). Determine the vertices of image N′M′O′ if the preimage is reflected over x = −4. N′(−3, 2), M′(−6, 1), O′(−5, 3) N′(−5, −6), M′(−2, −5), O′(−3, −7) N′(−5, −2), M′(−2, −3), O′(−3, −1) N′(−4, 2), M′(−1, 1), O′(−2, 3)
Answers
Notice that the reflection is over a line of the form x=constant; in this case, the y-coordinate of the reflected point stays the same while the x-coordinate changes as expressed by the transformation below
\(\begin{gathered} y\rightarrow y \\ x\rightarrow2a+x \\ where \\ x=a\rightarrow\text{ vertical line} \end{gathered}\)Hence, in our case
\(\Rightarrow(x,y)=(2*-4-x,y)=(-8-x,y)\)Transform points N, M, and O accordingly,
\(\begin{gathered} \Rightarrow N^{\prime}=(-8-(-5),2)=(-8+5,2)=(-3,2) \\ \Rightarrow M^{\prime}=(-8-(-2),1)=(-6,1) \\ \Rightarrow O^{\prime}=(-8-(-3),3)=(-5,3) \end{gathered}\)Therefore, the answer is the first option (top to bottom)Answer:
n,(-5, -6), M(-2, -5) o(-3, -7)
Step-by-step explanation:
other guy wrong but here you go.
The temperature was 8 degrees Fahrenheit. It dropped so that the temperature was 0 degrees Fahrenheit. _____ degrees Fahrenheit represents the change in temperature.
Answers
Pleaseeee helpppp !!!!!! Will mark Brianliest !!!!!!!!!!!!
Answers
Answer:
NQ=15
Step-by-step explanation:
To solve this we can use the side-splitter theorem.
NS/SR=NP/PQ
PQ=x since we do not know it's value
now to subsitute the given/known values.
12/78=2/x
solve for x using cross multiplication.
12x=156
x=13
PQ=13
NQ= PQ+NP
NP=2
NQ=13+2
NQ=15
The length of NQ is 15.
Point A ( 5, 3) is reflected across the x-axis what is the coordinate of the image.
Answers
Answer:
(5, -3)
Step-by-step explanation:
when you reflect across x axis the y changes symbols.
The Point A(5, 3) is reflected across the x-axis, then the coordinate of the image is (5, -3).
What is a reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.
Given:
The point A(5, 3) is reflected across the x-axis.
The reflection across the x-axis:
The rule for a reflection over the x-axis is,
(x, y) → (x, −y).
So, the image point,
(5, 3) → (5, −3)
Therefore, the image point is (5, −3).
To learn more about the reflection;
https://brainly.com/question/11232423
#SPJ3
Members of a lacrosse team raised $2080.50 to go to a tournament. They rented a bus for $970.50 and budgeted $74 per player for meals. Which equation or tape diagram could be used to represent the context if p represents the number of players the team can bring to the tournament?
Answers
Answer:
2080.50 = 970.50 - 74p
Step-by-step explanation:
........
g etween two variables may be explained away by the presence of another variable that accounts for the original correlation. These relationships are known as
Answers
A spurious correlation is a correlation between two variables that appears to be causally linked but is actually due to the influence of a third variable that is not considered. The correct answer is spurious correlation.
Spurious correlations are correlations that exist between two variables, but they are not actually causally related to one another, despite the fact that they appear to be causally related at first glance. The relationship between two variables may be accounted for by a third variable that was previously overlooked or not considered, causing the original correlation to be explained away. Spurious correlations are commonly found in science and research, and they can lead to misleading results if not properly identified and accounted for. It is critical to account for all potential confounding variables in order to establish causal links between variables and avoid spurious correlations. Therefore, researchers must carefully consider all variables that might influence the relationship between two variables to avoid drawing inaccurate conclusions.
know more about spurious correlation
https://brainly.com/question/29361770
#SPJ11
PLEASE HELPPPPPPPPP ASAPPPP !!!!
Answers
Answer:
I think x=7 again i'm not sure
Step-by-step explanation:
71 +64 =135
135-180=45
(8x-11)=45
8x=56
x=7
124+8x=180
8x=56
X=7
EXPLANATION: angle sum theorem. All the angles in the triangle equal 180°
1. Write a ratio that describes the picture below.
Answers
Stars to Circles Ratio: 4 to 3
Circles to Stars Ratio: 3 to 4
Answer:
4to 3
Step-by-step explanation:
because I'm smart an I've all ready learned about this I'm 100% for sure
Picture attached help please!
Answers
The missing lengths in the triangles are h = 3/2√2 and b = 4√3
How to determine the missing lengthsTriangle a and b
From the question, we have the following parameters that can be used in our computation:
A special right triangle
For a right triangle with an angle of 45 degrees
The measure of the leg is
h = Hypotenuse/√2
So, we have
h = 3/√2
Evaluate
h = 3/2√2
For the other triangle, we have
sin(60) = b/6
So, we have
b = 6/sin(60)
Evaluate
b = 4√3
Read more about triangles at
https://brainly.com/question/14285697
#SPJ1
1/8 times what equals 16/8
Answers
Answer:
16
Step-by-step explanation:
let x be the unknown
1/8x =16/8
1/8x =2
x=8×2
x=16
The value of 1/8 times equals 16/8 will be 16.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that 1/8 times, what equals 16/8. Let x be the unknown. Let the unknown number be x. The value of x will be calculated as below:-
1/8x =16/8
1/8x =2
x=8×2
x=16
Therefore, the value of 1/8 times equals 16/8 will be 16.
To know more about an expression follow
https://brainly.com/question/15463878
#SPJ2
when 35073 seconds is rounded to three significant figures the answer value is
Answers
When 35073 seconds is rounded to three significant figures, the answer value is 35,100 seconds.
In scientific notation, this can be expressed as 3.51 x 10^4 seconds.
Round to three significant figures means that we consider the three most significant digits of the number and adjust the value based on the digit in the fourth position.
In this case, the fourth digit is 7, which is greater than or equal to 5. As a result, we round up the third significant digit, which is 5, to the next higher number.
Therefore, the final rounded value of 35,100 seconds is obtained.
Learn more about round here
brainly.com/question/32195845
#SPJ11
if f (x) =5x^{2} what is 3 f (x) ?
Answers
Answer:
15x²
Step-by-step explanation:
Given
f(x) = 5x² , then
3f(x) = 3 × 5x² = 15x²
which decimal is the best estimate of the fraction 33/50?
Answers
Answer:
0.66
Step-by-step explanation:
The fraction 33/50 can be converted into its decimal form by simply dividing the numerator by the denominator. Some fractions give an integer quotient and some give a decimal quotient. The given fraction gives a decimal with only two digits after the decimal point.
Here, we are interested more in the types of division that results in a Decimal value, as this can be expressed as a Fraction. We see fractions as a way of showing two numbers having the operation of Division between them that result in a value that lies between two Integers.
if secx+cosecy = 2, and sinx+cosy=k evaluate 3k/4.
Need help ASAP!
Answers
The equations secx+cosecy = 2, and sinx+cosy=k are trigonometry equations
The result of \(\frac {3k}4\) is \(\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]}\)
How to evaluate 3k/4The equations are given as:
secx+cosecy = 2, and sinx+cosy=k
Divide both equations
\(\frac{\sin(x) + \cos(y)}{\sec(x) + \csc(y)} = \frac k2\)
Divide through by 2
\(\frac{\sin(x) + \cos(y)}{2[\sec(x) + \csc(y)]} = \frac k4\)
Express sec and cosec as inverse ratios
\(\frac{\sin(x) + \cos(y)}{2[1/\cos(x) + 1/\sin(y)]} = \frac k4\)
Take the LCM
\(\frac{\sin(y)\cos(x)[\sin(x) + \cos(y)]}{2[\cos(x) + \sin(y)]} = \frac k4\)
Expand
\(\frac{\sin(y)\cos(x)\sin(x) + \sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]} = \frac k4\)
Multiply through by 3
\(\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]} = \frac {3k}4\)
Rewrite as:
\(\frac {3k}4 =\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]}\)
Hence, the result of \(\frac {3k}4\) is \(\frac{3\sin(y)\cos(x)\sin(x) + 3\sin(y)\cos(x)\cos(y)}{2[\cos(x) + \sin(y)]}\)
Read more about trigonometry equations at:
https://brainly.com/question/8120556
Determine the slope of the the graph below. y = ? x - 3
Answers
The slope of the graph below is 6 then, the line will be y = 6x - 3.
What is the slope of a line which passes through points ( p,q) and (x,y)?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line. Its slope would be:
\(m = \dfrac{y-q}{x-p}\)
The slope of parallel lines is the same. Slopes of perpendicular lines are negative reciprocals of each other.
We have been given an equation as y = MX - 3
From the given graph we can find two points that are;
(0.5, 0) and (0, -3)
Therefore, the slope can be calculated as;
\(m = \dfrac{y-q}{x-p}\\ m = \dfrac{-3 - 0}{0 - 0.5}\\ m = \dfrac{-3 }{- 0.5}\)
m = 6
Therefore, if the slope of the graph below is 6 then, the line will be y = 6x - 3.
Learn more about slope here:
https://brainly.com/question/2503591
#SPJ1
The width of a fenced yard is 6 yards less than the length. And the perimeter is less than it equal to 72 yards. Write the inequality (simplified) that u would use to solve for the dimensions of the fence.
Answers
Answer:
Length = 21 yards
Width = 15 yards
Step-by-step explanation:
Let
Length = x
Width = x - 6
Perimeter ≤ 71 yards
Perimeter of a rectangle = 2 (length + width)
72 ≤ 2(x + x-6)
72 ≤ 2 (2x - 6)
72 ≤ 4x - 12
72 + 12 ≤ 4x
84 ≤ 4x
x ≤ 84/4
x ≤ 21
Length = x = 21 yards
Width = x - 6
= 21 - 6
= 15 yards