A triangle has an area of 1102 m², and two of the sides of the triangle have lengths 60 m and 56 m. find the angle included by these two sides.
A party size bag of tortilla normally coast 3.80. the supermarket has them on sale today for 2.25. what is the percentage of the discount
The vertex form of a function is g(x) = (x – 3)2 + 9. How does the graph of g(x) compare to the graph of the function
f(x) = x2?
A.g(x) is shifted 3 units left and 9 units up.
B.g(x) is shifted 3 units right and 9 units up.
C.g(x) is shifted 9 units left and 3 units down.
D.g(x) is shifted 9 units right and 3 units down.
For this case we have that the main function is given by:
[tex]f (x) = x ^ 2[/tex]
First, we apply the horizontal transformation. To do this, we evaluate the function for x-3, that is, we move the graph 3 units to the right.
[tex]f (x-3) = (x-3) ^ 2[/tex]
We apply the vertical transformation. To do this, add to the function 9 units, that is, we move the graph 9 units up.
[tex]f (x-3) +9 = (x-3) ^ 2 + 9[/tex]
We have then:
[tex]g (x) = (x-3) ^ 2 + 9[/tex]
Answer:
B.g (x) is shifted 3 units right and 9 units up.
Help why did I get this wrong? Corrections!!! Janie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
HELLPPPP ASAP
Identify the type of function represented by f(x)=(1/2) x (3)^x
A. Decreasing linear
B. Exponential decay
C. Exponential growth
D. Increasing linear
Answer:
The correct option is (C) Exponential growth.
Step-by-step explanation:
The simplest exponential function is: f(x) = [tex]a^{x}[/tex], a>0, a≠1
If the x is positive then graph of exponential is increasing and if the x is negative then graph of exponential is decreasing.
In given function [tex]f(x)=\frac{1}{2}\times(3)^x[/tex]
x is positive so, it is graph of exponential growth.
Hence, the correct option is (C) Exponential growth.
Answer:C
Step-by-step explanation:
BIG BRAIN
The gas tank I’ll be riding mower holds 5 L of gas how many 5 L gas tanks can you feel from a 20 L gas tank
What is the angle of 135 degrees equal to in radian measure? Show all work.
the yearly changes in the population of a town for four consecutive years were, respectively, 25% increase, 25% increase, 25% decrease, and 25% decrease. what is the net present decrease over the four years, rounded to the nearest percent?
_____a function is the same as moving a function ... im not totally sure
Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high-priced items. table What is the total amount she earned over these three days?
Answer:
614
Step-by-step explanation:
614 can also look like this ^!$ if you hold down caps.
Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high-priced items.
What is the total amount she earned over these three days?
$ 614
Got it correct.
Hope it helps
25 points need help ASAP!!!
George Orwell based his novel, 1984, on the idea of
capitalism
totalitarianism
fascism
constitutional monarchy
What is the first step in solving the problem 3/4 + 1/8?
Tabitha defines a sphere as the set of all points equidistant from a single point. Is Tabitha's definition valid?
Answer: Yes, Talid's definition is valid.
Step-by-step explanation:
Definition of sphere:- In geometry , a sphere is a perfectly round three-dimensional shape . It is defined as the set of points that are all at the same distance which is known as radius from a given point in a 3-dimensional space. Talid's definition:- A sphere as the set of all points equidistant from a single point.
Hence, Talid's definition is valid.
Which statements are always true regarding the diagram? Check all that apply.
CAN SOMEONE PLEASE ANSWEERRRRRR
m∠3 + m∠4 = 180°
m∠2 + m∠4 + m∠6 = 180°
m∠2 + m∠4 = m∠5
m∠1 + m∠2 = 90°
m∠4 + m∠6 = m∠2
m∠2 + m∠6 = m∠5
Please SOMEONE help me on this asap!!!
BRAinliEST AVAILABLE TO CORRECT ANSWER
Options from the 1st blank:
Less than, greater than, or the same as
Options for 2nd blank:
Greater than, the same as, less than
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should the length of the third side be). Write the inequalities for each case. 11.5 and 23.6
Final answer:
To determine the range for the length of the third side of a triangle with side lengths 11.5 and 23.6, we apply the triangle inequality theorem which tells us that the third side must be greater than 12.1 and less than 35.1.
Explanation:
To find the range for the length of the third side of a triangle when given the lengths of two sides, one must use the triangle inequality theorem. This theorem states that the length of any side of a triangle is less than the sum of the lengths of the other two sides but greater than the absolute difference between these lengths. Given the side lengths of 11.5 and 23.6, the inequalities would be:
The length of the third side must be greater than the absolute difference between 23.6 and 11.5, which is 12.1. Therefore, the third side > 12.1.The length of the third side must also be less than the sum of 23.6 and 11.5, which is 35.1. Therefore, third side < 35.1.Combining these inequalities gives us the range: 12.1 < third side < 35.1.
Tim’s bank requires its customers to have a 4-digit personal identification number (PIN) to access their accounts. If each digit can be a value from 0 to 9, and a 4-digit number is randomly generated, what is the probability that the number 1234 will be Tim’s PIN? A. 1 6,561 B. 1 5,040 C. 10,000 D.1 10,000
Answer:
1/10000
Step-by-step explanation:
There are 10 choices for each of the 4 digits. This means the total number of choices for the PIN are
10(10)(10)(10) = 10000
The number 1234 will only appear 1 time in this list; this makes the probability it is Tim's PIN 1/10000.
Hence, the probability that the number [tex]1234[/tex] will be Tim’s PIN is
What are digits?
A numerical digit is a single symbol used alone or in combinations, to represent numbers in a positional numeral system.
The name "digit" comes from the fact that the ten digits of the hands correspond to the ten symbols of the common base [tex]10[/tex] numeral system, i.e. the decimal digits.
From the given information,
We have [tex]10[/tex] choices for each of the four digits.
This means that the total number of choices for the PIN is:-
[tex]10(10)(10)(10) = 10000[/tex]
The number [tex]1234[/tex] will only appear one time in this list which makes the probability of the form Tim's PIN [tex]\frac{1}{10000}[/tex].
Hence, the probability that the number [tex]1234[/tex] will be Tim’s PIN is [tex]\frac{1}{10000}[/tex].
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Me. Adams divides 223 markers equally among the 26 students in his class. He puts the extra markers in a box. What is the least number of markers he puts in the box?
WILL GIVE BRAINLIEST-Let f(x)=x2−3x−4 .
What is the average rate of change from x = 7 to x = 10?
Enter your answer in the box.
Answer:
14
Step-by-step explanation:
14
Marvin and some of his classmates are painting their classroom at school. They only have gallon of paint left. How much of the paint will each person get if Marvin and 4 of his classmates share the paint equally?
In need of some help please.
A board is leaning against a vertical wall, The board makes a 62 degree angle with the ground and touches the wall at a point that is 45 in, above the ground. What is the length of the board, rounded to the nearest inch?
Answer:
Option C. 51 in.
Step-by-step explanation:
In the given right angle triangle height is given as 45 in. above the ground.
Length of the board is making an angle of 62°with the ground.
Therefore by sine rule
sin 62° = height / hypotenuse
sin 62° = 45/h
0.8829 = 45/h
h = 45/0.8829 = 50.96 ≈ 51 in.
Therefore option C. 51 in. is the answer.
This is the term in a polynomial without a variable
A term in a polynomial without a variable is known as a constant. It is the term that does not change its value.
Explanation:The term in a polynomial without a variable is often referred to as the constant term. In a polynomial expression, variables are raised to various powers and multiplied by coefficients. However, the constant term is a unique element within the polynomial because it does not involve any variables. It is a number on its own and typically represents the y-intercept of the polynomial graph when plotted on a Cartesian plane.
For example, in the polynomial expression "[tex]3x^2 + 5x - 7,"[/tex] the constant term is "-7." This term contributes a fixed value to the overall expression, regardless of the value of the variable "x." It's a crucial component in polynomial mathematics, as it affects the position of the polynomial graph on the vertical axis. Understanding the constant term is essential for polynomial evaluation, graphing, and solving equations involving these expressions. In essence, the constant term is the base value around which the polynomial varies as the variable changes.
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How to solve 6+5c=-29
The value of equation 6+5c=-29 is c= -7.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Equation: 6+5c=-29
Solving the equation for c
6+5c=-29
Subtract 6 from both side
6 + 5c - 6 = -29 - 6
5c = -35
Divide both side by (5) we get
5c / 5 = -35 /5
c= -7
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A video game system that normally sells for $249 is on sale for 15% off
PLEASE HELP!
You work for a landscaper that has a customer needing to seed an area of land 80 feet by 40 feet in size. The garden center has 5-pound bags of grass seed. Each bag of seed can cover 25 square yards of land.
You calculate that the area you need to seed is 3200 square feet. You divide by 25 to find that you need 128 bags to seed the area. Is this correct?
A) Yes.
B) No, you need to convert the 3200 square feet to yards by dividing by 3. Then calculate the number of bags.
C) No, you need to convert the 3200 square feet to yards by dividing by 9. Then calculate the number of bags.
D) No, you need to convert the 3200 square feet to yards by multiplying by 9. Then calculate the number of bags.
Answer:
Since the mulch is measured in yards you need to either convert the area to be seeded to yards or the bag to feet. No, you need to convert the 3200 square feet to yards by dividing by 9. Then calculate the number of bags.
Cory has a square piece of wood that is 4.5 feet by 4.5 feet. He wants to make a circular tabletop out of it. What is the area of the largest circle that he can cut out of the wood? Round to the nearest tenth.
The area of the largest circle is 15.9 feet^2
what is area ?
The area is the amount of space within the perimeter of a 2 D shape. It is measured in square units, such as cm², m², etc.
formula used to find the area is :
A = π r^2
Given : diameter = 4.5 feet
r = d/2
⇒ 4.5 / 2
⇒ 2.25
r = 2.25
A = π × (2.25)^2
A = 3.14 × 5.0625
A = 15.89625 feet^2
round to nearest tenth is :
A = 15.9 feet ^2
Hence , the area of the largest circle is 15.9 feet ^2
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A recipe for lemon cranberry pound cake calls for 80 milliliters of lemon juice and 240 milliliters of plain yogurt. How many liters of lemon juice and yogurt are needed to make 11 cakes?
Answer: 3 liters 520 milliliters
Step-by-step explanation:
Total liquid amount:
80 ml + 240 ml = 320 milliliters
Total amount for 11 cakes:
320 milliliters × 11 = 3,520 milliliters
Total amount for 11 cakes conversion:
3,520 milliliters ÷ 1,000 = 3 remainder 520 = 3 liters 520 milliliters