Answer:
B). x=9
Step-by-step explanation:
4 x (5 + 4) =3 ×(x + 3)
36=3x+9
3x=27
x=9
Need help. This please
The domain of the quadratic function in this problem is given as follows:
All real values.
How to obtain the domain of the function?The domain of a function is the set of all the possible input values that can be assumed by the function.
On the graph, the domain of the function is given by the values of x of the function.
A quadratic function has no restrictions on the domain, hence it is defined by all the real values.
More can be learned about the domain of a function at https://brainly.com/question/10687170
#SPJ1
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.
Learn more about Pythagorean theorem here: brainly.com/question/343682
#SPJ1
how do you slove thia
Four points are drawn on the coordinate plane and connected with straight lines to form a rectangle. Three of the vertices of the rectangle are located at (2, 1), (2, 4) and (4.4). a What are the coordinates of the fourth vertex of the rectangle? b. What are the dimensions of the rectangle? c What is the area of the rectangle?
You have 2 points with the same x value of 2 and 2 points with the same y value of 4.
You now need 2 points with the same x value of 4 ( you are given 1) and 2 y values of 1 ( you are given 1.
The missing point would need to be (4,1)
The width would be x2-x1 = 4-2 = 2 units
The length would be y2-y1 = 4-1 = 3 units
Area = 3x 2 = 6 square units
Leila bought 3 bananas, which weighed a total of Three-fourths of a pound. If each banana weighed the same amount, what is the weight of each banana?
1 Over 12 of a pound
1 Over 9 of a pound
One-fourth of a pound
One-third of a pound
3 banana=(3÷4×#469.41)
Note:a pound is equal to 469.41 naira.
3=3×117.60
3=352.8
Then,352.8 ÷3
=117.6
The Simple interest on $160
for 6 month's at 5% per
annum
Answer:4$
Step-by-step explanation:
A fair coin is flipped 15 times. What is the probability that you will have 5 tails?
Answer:
9.18%
Step-by-step explanation:
The probability of getting a tail on a fair coin flip is 0.5, and the probability of getting a head is also 0.5. Since each coin flip is independent, we can use the binomial probability formula to calculate the probability of getting exactly 5 tails in 15 flips:
P(X = 5) = (15 choose 5) * (0.5)^5 * (0.5)^(15-5)
where (15 choose 5) is the number of ways to choose 5 tails out of 15 flips, which can be calculated as:
(15 choose 5) = 15! / (5! * 10!) = 3003
Substituting the values, we get:
P(X = 5) = 3003 * (0.5)^15 ≈ 0.0918
Therefore, the probability of getting exactly 5 tails in 15 coin flips is approximately 0.0918 or 9.18%.
b. What is the number that is halfway between the two values?
7 and 11
Submit
Answer:
9
Step-by-step explanation:
It would be 9 because 7 +2 is 9 and 11 - 2 is 9.
Isn't way to hard.
Good luck on whatever you are doing.
9514 1404 393
Answer:
9
Step-by-step explanation:
The midpoint between two values is their average. The average is half their sum.
(7 +11)/2 = 18/2 = 9
The number 9 is halfway between 7 and 11.
_____
Check
The distance from 7 to 9 is 9-7 = 2. The distance from 9 to 11 is 11-9 = 2. The distances are the same, so 9 is halfway between 7 and 11.
Nathan earned $63 for working 7 1/2 hours.. How much does Nathan earn per hour?
0 $8.40
O $7.20
$8.90
O $9.50
Answer:
$8.40
Step-by-step explanation:
We have to find the unit rate, so our equation is:
63 ÷ 7 1/2 = 8 2/5 or 8.4
So Nathan earns $8.40 per hour
Buddy and Michael get into a
snow fight with some boys on the
way home from school. It seems
as though Buddy can throw 4
times as many snowballs as the
boys can. If Buddy throws 1200
snowballs, how many did the boys
throw? Write an equation and
solve.
Answer:
1500
Step-by-step explanation:
1200/4=300
1200+300=1500
Answer:
This means the boys throw 300 snowballs while Buddy throws 1200 snowballs
Step-by-step explanation:
Equations
Let's call
x = number of snowballs the other boys throw.
4x = number of snowballs Buddy throws.
We know Buddy throws 1200 snowballs, thus
4x = 1200
Divide by 4:
x = 1200/4
x = 300
This means the boys throw 300 snowballs while Buddy throws 1200 snowballs
Sally made a profit of $2500 after selling stocks for $19000 after 2.5 years. What was her average annual percentage gain?
13.25%
6.06%
3.78%
Sally's average annual percentage gain is approximately 5.26%.
To calculate Sally's average annual percentage gain, we can use the formula:
Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100
Profit = $2500
Initial Investment = $19000
Time = 2.5 years
Substituting the values into the formula:
Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100
= (0.1316) * (0.4) * 100
= 5.26
Therefore, Sally's average annual percentage gain is approximately 5.26%.
for such more question on average
https://brainly.com/question/130657
#SPJ8
HELP AS SOON AS POSSIBLE
The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
What are the rotation rules?The five more known rotation rules are given as follows:
90° clockwise rotation: (x,y) -> (y,-x).90° counterclockwise rotation: (x,y) -> (-y,x).180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y).270° clockwise rotation: (x,y) -> (-y,x).270° counterclockwise rotation: (x,y) -> (y,-x).The original coordinates for this problem are given as follows:
A(0,0), B(5,2), C(5,-5), D(0,-3).
Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:
A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).
More can be learned about rotation rules at brainly.com/question/17042921
#SPJ1
Find the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity.
Step-by-step explanation:
To calculate the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity, we can use the formula for the present value of an annuity due:
PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)
where:
- PV is the present value of the annuity due ($32,000)
- PMT is the monthly payment we want to find
- r is the annual interest rate (7.9%)
- n is the number of times interest is compounded per year (12 for monthly compounding)
- t is the number of years (10)
PMT = PV / ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n) = **$292.07**
Therefore, the required monthly payment to accumulate $32,000 in 10 years at an APR of 7.9% compounded monthly for an annuity is **$292.07**.
b) An integer, X, written as a product of its prime factors is a² × 7b+2
An integer, Y, written as a product of its prime factors is a³ × 7².
The highest common factor (HCF) of X and Y is 1225.
The lowest common multiple (LCM) of X and Y is 42875.
Find the value of X and the value of Y.
The value of integers X and Y are 8575 and 6125.
What are integers?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the corresponding positive numbers are the negative numbers. The set of integers is frequently represented by the letter Z in mathematical notation.So, a² from X and 7² from Y (We're solving for a)
Then,
a² from X and 7² from Y (solve for A)
a² 7² = 1225a² 49 = 1225a² = 25a = √25a = 5LCM of X and Y is 42875.
Let's take the biggest exponent as follows:
5³ 7ᵇ⁺² = 42875125 7ᵇ⁺² = 428757ᵇ⁺² = 343 (343 having the same root number 7)So, the value of X and Y:
7ᵇ⁺² = 7³ (Remove 7 just to have the exponents)b + 2 = 3b = 1Now,
X: 5² × 7³ = 8575Y: 5² × 7² = 6125Therefore, the value of integers X and Y are 8575 and 6125.
Know more about integers here:
https://brainly.com/question/17695139
#SPJ9
From the top of a lighthouse 82 m tall, a guard sees two ships at sea.
The angle of depression to the closer ship is 53° and to the further ship is 39°.
How far are the ships apart from each other to the nearest metre?
The distance between the two ship based on the angle of depression is 42 meters.
The distance of each ship can be calculated thus:
TanX = opposite / Adjacent
The first ship:
Tan53 = distance/ 82
distance= 108.82 meters
The second ship:
Tan39 = distance/ 82
distance= 66.40 meters
The Difference between the ships are :
108.82 - 66.40 = 42.42 metersTherefore, the distance between the two ships is 42 meters.
Learn more on angles of depression:https://brainly.com/question/17193804
#SPJ1
How do I write Domain of an inequality
Answer:As an inequality, we would write Read as "the domain of the function is all values of x which are greater than or equal to zero". For more on inequalities see Inequalities. In so-called interval notation, the same function has a domain of This describes the set of values from 0 to positive infinity.
Step-by-step explanation:
simplify the square root of 11.
Answer:
3.316
Step-by-step explanation:
The perimeter of a square is 48 inches. What are its dimensions.
Answer: 192 cm
Step-by-step explanation:
Answer:
144 square inches
Step-by-step explanation:
the perimeter of a square means that all sides are equal. 48 divided by 4 = 12
They are as equal to the sides times each other 12 x 12=144
What percent of 38 is 12
\(Hiya!\)
Sokka is here to help!!
Here's a explanation!
\(\frac{38}{100} (12)\)
\(=(\frac{38}{100} )(\frac{12}{1} )\)
\(=(\frac{19}{50} )(\frac{12}{1} )\)
\(=\frac{(19)(12)}{(50)(1)}\)
\(=\frac{228}{50}\)
\(=\frac{114}{25}\)OR\(4.56\)
ANSWER:
\(\frac{114}{25}, OR: 4.56\)
Hopefully, this helps you!!
\(Sokka\)
A restaurant owner orders new plates and spoons based on the information below. • plates are sold in spoons are sold in packages of 9 packages of 12 The restaurant owner orders an equal number of plates and spoons. What is the least number of packages of plates and packages of spoons she should order to have an equal number of plates and spoons?
The least number of packages of plates and spoons will be 12 and 9 respectively so she should order to have an equal number of plates and spoons.
What is inequality?
It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
Given that, a restaurant owner will use the data below to place new orders for plates and spoons. Packages of nine plates and twelve spoons are available for purchase. Equal quantities of plates and spoons are ordered by the restaurant owner.
For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.
If the plates are sold in packages of 9 and there are 12 packages the number of plates will be 108.
If the plates are sold in packages of 12 and there are 9 packages the number of plates will be 108.
Thus, the least number of packages of plates and spoons will be 12 and 9 respectively so she should order to have an equal number of plates and spoons.
Learn more about inequality here:
brainly.com/question/19491153
brainly.com/question/29001724
What is the standard form of the equation of f(x)?
Answer:
standered form is 0 of 0
Step-by-step explanation:
yw
Write the standard form of the equation:
y=5/2(x+2)
Answer:
y=5/2 x
Step-by-step explanation:
The standard form of a linear equation is Ax +By=C
A standard number cube is rolled. Calculate: P(rolling a 5)
Answer:
\(\frac{1}{6}\)
Step-by-step explanation:
Total no. of outcomes = 1,2,3,4,5,6
No. of times 5 is on the cube =1
Therefore, probability of getting a 5 = \(\frac{1}{6}\)
in what week does the movie earn $16 million?
Answer:
Assuming that a movie has strong marketing and positive reviews, it is reasonable to expect that it could earn $16 million in its opening weekend.
Step-by-step explanation:
The question of when a movie will earn $16 million is a complex one that depends on a variety of factors. The success of a film is influenced by its marketing, critical reception, and competition from other movies in the marketplace. However, there are some general trends that can be observed when it comes to box office performance.
Typically, the first week of a movie's release is the most important for earning revenue. This is because theaters often give priority to new releases and allocate more screens to them.
John earns $22 per hour for a regular 40 hour work week. Any hours worked over 40 hours are paid at time and a half.
What is John's gross pay if he worked 44 hour this week?
By conducting mathematical operations, we know that John's gross pay will be $1,012 if he works 44 hours a week.
What are mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.
The supplied operands or integers must adhere to a set of predefined rules that are connected to the symbol of the math operator.
The order of operations refers to the rules that specify how to solve an expression including many operations.
Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).
So, we know that:
John earns $22 per hour for the first 40 hours of a week.
After every additional hour, he earns 1.5 times $22 each hour.
22 * 1.5 = $33
So, John's gross pay if he worked 44 hours will be:
22*40 + 33*4
880 + 132
$1,012
Therefore, by conducting mathematical operations, we know that John's gross pay will be $1,012 if he works 44 hours a week.
Know more about mathematical operations here:
brainly.com/question/28937023
#SPJ4
please help!! (Easy?)
i have a issue i have cancer
Solve by using the steps found in this section. Write your answer in exact, simplified form. y varies inversely as z. If y is 26 when z is 44 , find y when z is 220 .
The value of y when z is 220 is 5.2. This answer is in simplified form, as 5.2 is already in its simplest fractional form.
If two variables vary inversely, it means that their product is always constant. In this case, we are given that y varies inversely as z, and that y is 26 when z is 44. This means that the product of y and z is 26 * 44 = 1144. We are asked to find the value of y when z is 220. To do this, we can use the fact that the product of y and z is constant. Since the product of y and z when z is 44 is 1144, the product of y and z when z is 220 must also be equal to 1144. Setting up the equation y * 220 = 1144 and solving for y, we find that y = 5.2. This means that the value of y when z is 220 is 5.2.
To know more about variable
https://brainly.com/question/17344045
#SPJ4
Quadrilateral MNPQ is rotated at 90 degrees counterclockwise about the origin and then rotated 270 degrees counterclockwise about the origin
After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.
When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.
The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.
Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.
The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.
It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.
The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.
For more such questions on Quadrilateral:
https://brainly.com/question/27991573
#SPJ8
2 + 2 = ?
I'm so confused, HELP!!!
fun fact: ΜΟΜ in Greek means LOL apparently
Answer:
4
Step-by-step explanation:
Answer:
22 dude everybody knows that cmon....
Step-by-step explanation:
Find the measure of the indicated angle.
D
(4x+7)°
m ZE=
E
(5x + 10)°
F
ہے
Answer:
D=E (Base angle of isosceles triangle are equal)
D+E+F= 180° (sum of angles of a triangle️)
(4x+7)+(4x+7)+(5x+10) = 180
13x = 180- 24
x= 156/13 = 12°
so, E= 4x+7 = 4×12+7 = 55
Hope this helps:)