The value of x = ±5.
What is Quadratic Equation?
Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where ‘a’ is called the leading coefficient and ‘c’ is called the absolute term of f (x).
Method 1 :
⇒ 16x² - 400 = 0
⇒ 16x² = 400
⇒ x² = 400/16
⇒ x² = 25
⇒ x = ±5
Method 2 :
⇒ 16x² - 400 = 0
⇒ 16(x² - 25) = 0
⇒ x² - 25 = 0
⇒ x² = 25
⇒ x = ±5
To learn more on quadratic equations click :
https://brainly.com/question/30098550
#SPJ1
Square root of 85 correct to the nearest tenth
Answer: 9.2
Explanation: The value of the square root of 85 lies between the whole numbers 9 and 10.
what is the mass of an object that is expericning a net force of 200 N and an accelration of 500 m/s
The mass of an object that is experiencing a net force of 200 N and an acceleration of 500 m/s² is 0.4kg.
We know that, according to newton's second law of motion
F = m×a
here, F: force, m: mass of the object, a: acceleration
200 N = m × 500 m/s²
m = 200/500 kg = 2/5 kg
or m = 0.4 kg
Therefore, the mass of an object that is experiencing a net force of 200 N and an acceleration of 500 m/s² is 0.4kg.
To learn more about newton's second law of motion:
https://brainly.com/question/8898885
Reflect over the y-axis
Answer:
To reflect, place points at
5, -2
2, -2
2, -5
5, -5
Step-by-step explanation:
3) Mr. Robinson leans his ladder 12 meters high on the house. The feet of the ladder are 12 meters from the house. Approximately how long is the ladder?
4) Jack’s room is 20 by 25 feet. Mark draws a line directly from one corner of the room to the opposite corner of the room. How long is the line?
HELP PLEASE :?
The Pythagorean theorem can be used to find the length of the third side of a triangle if the lengths of the other two sides are known. The formula for the Pythagorean theorem is: c^2 = a^2 + b^2, where c is the length of the third side, and a and b are the lengths of the other two sides.
3) 17
4) 32
plssssssssssssssssssssssssssssssssssssssssssssssssss help I have to do this in 10m if not I will get 0 and fail my 8th-grade plssssssssssssssssss i will make it Brainliest plssss help
Step-by-step explanation:
plsssssssssssssssssssssssssssssssssssssssssssssssssssssssdssssssssssssssssssssssssssssssssssssssssss do it don't be lazy.
The coordinates of the equation are (-2, -7), (-1, -5), (0, -3), (1, -1) and (2, 1)
What are coordinates?The value of x and y in the given equation or in the graph is together represented by (x, y) and called coordinates.
Given is an equation, y = 2x-3
And we have x values = -2, -1, 0, 1 and 2, To find the corresponding value of y, we will use one by one the values of x in the equations,
When, x = -2,
y = -2(2) - 3
y = -7
(-2, -7)
When x = -1
y = 2(-1) - 3
y = -5
(-1, -5)
When x = 0
y = 2(0) - 3
y = -3
(0, -3)
When x = 1
y = 2(1)-3
y = -1
(1, -1)
When x = 2
y = 2(2) - 3
y = 1
(2, 1)
Hence, the value of y are -7, -5, -3, -1 and 1
For more references on coordinates, click;
https://brainly.com/question/27749090
#SPJ1
Randy is talking to his friend in Germany, who says the temperature there is 0° Celsius. This would be closest to what temperature in the United States?
Answer:
32°F
Step-by-step explanation:
The temperature conversion formulae for degrees Fahrenheit(F) to degrees Celsius (C)
C = (F - 32) x 5/9
F = 9/5 x C + 32
Specifically, 0° C which is the freezing point of water is 32° F
For 0°C, F = 9/5 x 0 + 32 = 32°F
ANSWER
----------------------------------------------------------------------------------------------
Note: 100° C is the boiling point of water and converts to 212°F
A recipe calls for 3 tablespoons of pineapple juice a can of pineapple juice is 12 fluid ounces how many teaspoons of juice are in the can?
Answer:
75 teaspoons
Step-by-step explanation:
Due to the conversion, each fluid ounce= 6 teaspoons. Do 72 + 3, which equals 75. You get 72 by doing 12 fluid ounces by 6 teaspoons. <3 hope thi s helps, lovely !
Find the total area of the shape shown below in square feet. Enter only the number.
An image shows a polygon that is made up of a rectangle and a square. The six sides are labeled 12 feet, 16 feet, 5 feet, 9 feet, 7 feet, and 7 feet. The height is 12 feet and the width is 16 feet.
The total area of the shape is 129 square feet.
What is rectangle?A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.
In the given diagram, there are two shapes,
One is rectangle whose sides are 16 feet and 5 feet.
And other is square whose side is 7 feet.
Since, the area of rectangle = length x width = 16 x 5 = 80 square feet.
And area of square = (side)² = (7)² = 49 square feet.
Total area of shape = area of rectangle + area of square
= 80 + 49
= 129 square feet.
The total area of the shape is 129 square feet.
Hence, the total area of the shape is 129 square feet.
To know more about Rectangle on:
brainly.com/question/15019502
#SPJ1
please help asap!! Show work 2 and 3
2. In rectangle ABCD, DB = 12 cm AC = 12 cm and AB = √23 cm.
3. it is proven that ∠JMK = ∠LMK = ∠JMI = ∠IML = 90° and the diagonals of the rhombus are perpendicular.
Points to remember:
Diagonals of rectangles are equal in length. By the Pythagorean theorem, In a right-angle triangleHypotenuse² = side² + side²
All rhombus are parallelograms with equal sides.Problem - 2
ABCD is a rectangle
Give that DW = 6 cm and BC = 11
As we can see that DW is half of DB
=> Length of DB = 2(6) = 12 cm
Since the diagonals of a rectangle are equal
=> Diagonal DB = Diagonals AC
=> Length of AC = 12 cm
In the given figure, ABD will form right angle triangle
As we know in right angle triangle
Hypotenuse² = side² + side²
=> DB² = AB² + AD²
=> AB² = DB² - AD²
=> AB² = 12² - 11²
=> AB² = 144 -121
=> AB² = 23
=> AB = √23
Therefore,
In rectangle ABCD, DB = 12 cm AC = 12 cm and AB = √23 cm.
Problem - 3
Given that IJKL is a rhombus
IK and JL are diagonals of rhombus intersecting at M
To prove that the diagonals are perpendicular we need to prove that
∠JMK = ∠LMK = ∠JMI = ∠IML = 90°
As we know All Rhombus are parallelograms
IJ = JK = KL = IL ---- (1)
In a parallelogram, diagonals bisect each other
Therefore, IM = KM and JM = LM ---- (2)
In ∆IML and ∆JMK
JM = ML [ From 2 ]
JK = KL [ From 1 ]
MK = MK [ Common side ]
∆ IML ≅ ∆ JMK [ By SSS congruency criteria ]
=> ∠JMK = ∠LMK
=> ∠JMK + ∠LMK = 180° [ Linear pair ]
=> ∠JMK + ∠JMK = 180°
=> 2 ∠JMK = 180°
=> ∠JMK = 90°
=> ∠JMK = ∠LMK = 90°
Similarly, ∠JMI = ∠IML = 90°
Hence, it is proven that ∠JMK = ∠LMK = ∠JMI = ∠IML = 90° and the diagonals of the rhombus are perpendicular.
Learn more about Rectangles at
https://brainly.com/question/15019502
#SPJ1
Solve the equation for w.
2w + 4 + 0.3w = −1.7w − 8
w = 3
w = 0
w = −3
No solution
Answer:
w = 3
Step-by-step explanation:
2.85 kilograms of sugar is mixed with 3.15 kilograms of flour. What percent of this mixture is sugar?
Answer:
47.5% of the mixture is sugar.
Step-by-step explanation:
To find the percent of the mixture that is sugar, we need to first find the total weight of the mixture. We can do this by adding the weight of the sugar to the weight of the flour: 2.85 kg + 3.15 kg = 6.00 kg.
Next, we need to divide the weight of the sugar by the total weight of the mixture and multiply the result by 100% to express the answer as a percentage: (2.85 kg / 6.00 kg) * 100% = 47.5%.
Therefore, 47.5% of the mixture is sugar.
Can you help me to answer this question
Answer:
Step-by-step explanation:
graphs above x-axis are positive and below are negative.
(b). A(+), B(+), C(-),D (-)
A=(3-0)/(1-0)=3
B=(1-0)/(2-0)=1/2
C=(-6-0)/(1-0)=-6
D=(-1-0)/(4-0)=-1/4
(c). 3>1/2>-1/4>-1/6
so 3 is greatest value.
Write an equation of the line below.
The equation of the line as shown in the image above is: y = 3x.
How to Write the Equation of a Line?Using the slope-intercept form we can write the equation of a line as y = mx + b, where we have:
the slope = m = change in y / change in xthe y-intercept = b = the point where the line cuts the y-axis.To find the equation, use two points on the line, (0, 0) and (-2, -6) to find the slope:
Slope (m) = change in y / change in x = (-6 - 0) / (-2 - 0)
Slope (m) = -6/-2
Slope (m) = 3
The y-intercept (b) = 0
Substitute b = 0 and m = 3 into y = mx + b:
y = 3x + 0
y = 3x
Learn more about the equation of a line on:
https://brainly.com/question/18831322
#SPJ1
A flowchart is a way to visually represent an algorithm. The flowchart below is used by an application to set the Boolean variable available to true under certain conditions. The flowchart uses the Boolean variable weekday and the integer variable miles.
BlockExplanationOvalThe start or end of the algorithmDiamondA conditional or decision step, where execution proceeds to the side labeled true if the condition is true and to the side labeled false otherwiseRectangleOne or more processing steps, such as a statement that assigns a value to a variable
Which of the following statements is equivalent to the algorithm in the flowchart?
weekday ad miles < 10
weekday ad miles < 10
weekday ad miles < 20
If weekday is true and miles is less than 10, then the Boolean variable available is set to true.
Step 1: Check if weekday is true
Step 2: Check if miles is less than 10
Step 3: If both conditions are true, then set the Boolean variable available to true
Step 1: Check if weekday is true. This is done by checking if the Boolean variable weekday is set to true. If it is, then proceed to the next step.
Step 2: Check if miles is less than 10. This is done by using the integer variable miles and checking if it is less than 10. If it is, then proceed to the next step.
Step 3: If both conditions are true, then set the Boolean variable available to true. This is done by setting the Boolean variable available to true if the conditions from the previous steps are both true. If not, then the Boolean variable available is set to false.
Learn more about miles here
https://brainly.com/question/23245414
#SPJ4
given the following table with selected values of f(x) and g(x) evaluate f(g(1))
From the table given the value of f(g(1)) = 3.
What is composite function?
Function composition is an operation о used in mathematics that takes two functions, f and g, and creates a function, h = g о f, such that h(x) = g. The function g is applied in this operation to the outcome of applying the function f to x.
From the given table we have to find the value of f(g(1)).
First to find the value of g(1).
From the table given g(1) = 3.
So, f(g(1)) becomes, f(3).
Now to find the value of f(3).
From the table given f(3) = 1.
So, f(g(1)) = 3.
Hence, from the table given the value of f(g(1)) = 3.
To know more about composite function, click on the link
https://brainly.com/question/10687170
#SPJ1
I’ll give BRAINLIEST if correct
The inequality that represents the graph will be y ≤ -(3/4)x + 2.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The line is passing through points (0, 2) and (4, -1). Then the equation of the line is given as,
(y - 2) = [(- 1 - 2) / (4 - 0)](x - 0)
y - 2 = -(3/4)x
y = -(3/4)x + 2
The region below the line and points on the line is considered. Then the linear inequality is written as,
y ≤ -(3/4)x + 2
The inequality that represents the graph will be y ≤ -(3/4)x + 2.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ1
A teacher is making tutus for the school play. She wants to make at least 24 tutus and needs 1.25 yards of tulle for each tutu.
Write an inequality that can be used to determine the amount of tulle, x, the teacher needs to buy
Answer:
x ≥ 30
Step-by-step explanation:
The teacher wants to make at least 24 tutus. If each tutu requires 1.25 yards of tulle, then she will need to buy at least (1.25 × 24) yards of tulle. 1.25 yards × 24 is 30 yards.
The teacher will need at least 30 yards of tulle. In inequality form, this is x ≥ 30.
The shape of a satellite dish can be described as parabolic. Satellite dishes are this shape because radio waves are reflected from the surface of the dish and received into the focus. If the graph of the satellite dish is given by the equation x2 = 8y, what are the coordinates of the focus?
(
,
)
The coordinates of the focus of the parabola is calculated as; (0, 2).
How to solve a Parabolic Equation?We are told that the shape of a satellite dish can be described as parabolic. This is due to the fact that radio waves are reflected from the surface of the dish and received into the focus.
The path of the object shown in a plane curve generated by a moving point is called a parabola.
The general equation of a parabola is;
x² = 4ay
Where a is the focus of the parabola.
The given equation of the parabola is;
x² = 8y
The coordinate of the focus of the parabola is of the form; (0, a).
Comparing both equations, we have that the focus of the parabola is;
4a = 8
a = 8/4
a = 2
Hence, we conclude that the coordinate of the focus of the parabola is (0, 2).
Read more about Parabolic Equation at; https://brainly.com/question/4061870
#SPJ1
If frank mows the lawn constantly 6/5 per hour
Ratio of lawns to hours is 6:5
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Frank mows the lawn constantly 6/5 per hour
But Rate is also equal to number of lawns mowed in a certain amount of time.
Since ratio should always be in terms of simple whole numbers.
If 6/5 lawns are mowed in 1 hour, then,
6 lawns will be mowed in:6/6/5
=5 hours
therefore, 6 laws will be mowed in 5 hours.
Hence, Ratio of lawns to hours is 6:5
To learn more on Ratios click:
https://brainly.com/question/13419413
#SPJ1
A 8 1/4 inch candle burns down in 11 hours how far has it burns after 8 1/2 hours
In 8 1/2 hours, the candle would burn 6 3/8 inches.
How many inches would the candle burn in 8 1/2 hours?A mixed number is a non-integer that is made up of a whole number and a proper fraction. An example of a mixed number is 8 1/4.
The first step is to determine how much of the candle burns in one hour.
Inches of candle that burns in 1 hour = 8 1/4 ÷ 11
33/4 x 1/11 = 3/4 inches
Now, multiply the inches of candle that burns in an hour by 8 1/2
Inches of candle that would burn in 8 1/2 hours = 3/4 x 8 1/2
3/4 x 17/2 = 51/8 = 6 3/8 inches
To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498
#SPJ1
4. A department store offers a rewards card for frequent customers. Every time a customer earns 100
or more points, the customer receives a gift certificate. Each purchase is worth 12 points, and customers
automatically earn 25 points when they sign up. Which inequalities could be solved to find the number of
purchases, p, that a customer needs to make in order to earn the first gift certificate? Select all the correct
answers.
A) 12p+ 25 <100
B) 12p+252 100
C) 12p+ 25 100
5. A table of values is shown below.
D) 12p-25 ≥100
E) 25 > 100-12p
F) 12p≥ 100-25
Answer:
The correct inequalities that could be solved to find the number of purchases that a customer needs to make in order to earn the first gift certificate are:
A) 12p+ 25 <100
C) 12p+ 25 ≥100
D) 12p-25 ≥100
F) 12p≥ 100-25
The inequality 12p+ 25 <100 represents the condition where the customer has fewer than 100 points, so they have not yet earned the first gift certificate.
The inequality 12p+ 25 ≥100 represents the condition where the customer has 100 points or more, so they have earned the first gift certificate.
The inequality 12p-25 ≥100 represents the condition where the customer has at least 100 points, so they have earned the first gift certificate.
The inequality 12p≥ 100-25 represents the condition where the customer has at least 100 points, so they have earned the first gift certificate.
To plan for retirement, Keith deposits $323 each quarter in an annuity that pays 7% interest, compounded quarterly. Payments will be made at the end of each quarter. Find the total value of the annuity in 26 years.
The total value of the annuity in 26 years is $93,678.57.
What is the total value of the annuity?An ordinary annuity is when a series of payments is made over a particular period at the end of each period.
The formula that can be used to determine the future value of the annuity is:
Future value = Quarterly deposit x annuity factor
Annuity factor = (1 + r)^n] - 1} / r
Where:
r = quarterly interest rate = 7/4 = 1.75%n = number of periods = 26 x 4 = 104Annuity factor = [{(1 + 0.0175)^(104)} - 1 ] / 0.0175 = 290.02652
Future value = 290.02652 x 323 = $93,678.57
To learn more about annuities, please check: https://brainly.com/question/22970982
#SPJ1
Add.
(3+x³+3x²) + (2x³ - 2 - 4x²)
Express the answer in standard form.
Enter your answer in the box
Answer:
Step-by-st(3 + x^3 + 3x^2) + (2x^3 - 2 - 4x^2)
= 3x^3 + x^2 + 3x^2 - 2 - 4x^2
= 3x^3 - x^2 - 2
So the final answer is 3x^3 - x^2 - 2ep explanation:
Question 6(Multiple Choice Worth 1 points)
(06.01 MC)
Which statement best demonstrates why the following is a non-example of a polynomial?
33/16-62 y² x y-35 z^1/3 y²
The expression has a variable raised to a negative exponent.
The expression has a variable in the denominator of a fraction.
The expression has a negative coefficient.
The expression has a variable raised to a fraction.
The answer choice which represents why the given expression is a non-example of a polynomial as required is; The expression has a variable raised to a fraction.
Why is the given expression a non-example of a polynomial?It follows from the task content that the underlying reason why the given expression is not a fraction be identified.
Recall that an expression is termed a polynomial expression when the powers of variables in such expression are integers.
On this note; since the term; -35x^⅓y² has a variable raised to a fraction, it follows that the given expression is not a polynomial.
Read more on Polynomials;
https://brainly.com/question/4142886
#SPJ1
I need help with this!
Answer:
3. 8÷ x² is the correct answer.
result by -7/8 × -3.5
Answer: 3.0625
Step-by-step explanation: math :}
Graph the solution to this inequality on the number line. 5/8z>5/6
The number line graph for this inequality's resolution. 5/8z>5/6 is z > 4/3. Draw a rightward-pointing arrow and an open circle on 4/3.
How to Graph the solution to this inequality on the number line ?Finding z ⇒ 5/8z > 5/6 ⇒ 8/5 z > 40/30 z > 4/3 multiplied by both sides. Create an open circle on 4/3 and a rightward pointing arrow. The values that an inequality represents can be seen when we plot inequality on a number line. By drawing a straight line and designating the end points with either an open circle or a closed circle, we can depict inequalities on a number line by illustrating the range of integers.
The collection of points that represents all possible solutions to a two-variable inequality is called its graph. The coordinate plane is split in half by a boundary line created by a linear inequality, with one half representing the solutions to the inequality.
To learn more about number line graph refer to :
https://brainly.com/question/90983
#SPJ1
1. In 1960 , there were approximately 3,000 million people living on earth. In 1999 , the population of earth was approximately 6,000 million people. What was the approximate rate of increase, in millions of people, each year between these two years?
9,000 million people per year
3,000 million people per year
231 million people per year
77 million people per year
Step-by-step explanation:
to solve this problem we use the growth exponential formula: A=P(1+r%)^t
3000×(1+(r/100))^39=6000
by dividing both sides by 3000
(1+(r/100))^39=2
1+r/100=2^(1/39)
r/100=2^(1/39)-1
r=100(-1+2^(1/39))
r=1.79318
by multiplying by 1,000,000
r=1,793,18 approximately
what’s the correct answer answer asap for brainlist
Answer:
C. His labor is a chant.
Step-by-step explanation:
Metaphors are figures of speech where a word is applied to a noun or verb which is not literal. A person's labor cannot literally chant, as stated here, so this sentence is a metaphor.
1. The equation y=5000⋅1.05^x models an investment of $5,000 earning 5% annually. What is the balance of the investment after 15 years, assuming no further deposits or withdrawals?
2. Another account also earning 5% annually had a balance of $3,257.79 after 10 years. This can be modeled by the equation 3257.79=p⋅1.05^10. Assuming no other deposits or withdrawals occurred, what was the initial investment for this account?
1) The investment's balance (future value) after 15 years, assuming no further deposits or withdrawals, for the first account modeled by the equationy=5000⋅1.05^x, is $10,395.
2) Assuming no other deposits or withdrawals occurred, the initial investment (present value) for the second account modeled by the equation 3257.79=p⋅1.05^10 is $2,000.
What are future and present values?The future value is the present value or periodic investments compounded at an interest rate.
The future value can be computed using an online finance calculator or the FV factor.
The present value is the future value or periodic inflows discounted at an interest rate.
Similarly, the present value can be computed using an online finance calculator or the PV factor.
Equation 1: y=5000⋅1.05^x
Initial investment = $5,000
Annual interest rate = 5%
Investment period = 15 years
Future value factor for 15 years at 5% = 2.079
N (# of periods) = 15 years
I/Y (Interest per year) = 5%
PV (Present Value) = $5,000
PMT (Periodic Payment) = $0
Results:
FV = $10,395 ($5,000 x 2.079)
Total Interest = $5,395
Equation 2: 3257.79=p⋅1.05^10:
Future value = $3,257.79
Annual interest rate = 5%
Investment period = 10 years
Present value factor for 10 years at 5% = 0.641
N (# of periods) = 10 years
I/Y (Interest per year) = 5%
PMT (Periodic Payment) = $0
FV (Future Value) = $3,257.79
Results:
PV (Present Value) = $2,000 ($3,257.79 x 0.641)
Total Interest = $1,257.79
Learn more about the future and present values at https://brainly.com/question/24703884 and https://brainly.com/question/15904086
#SPJ1
