Suppose a system of equations has fewer equations than variables and you have found a solution to this system of equations. is it possible that your solution is the only one? explain.
geometry problem help
At Cooper High School, jazz band is only offered as a zero-hour (before school) class. Dan has a zero-hour class. Conjecture: Dan is in jazz band. Use deductive reasoning to verify the conjecture, or provide a counterexample if the conjecture is false. A. true; law of detachment B. true; law of syllogism C. false; Dan may be enrolled in a different zero-hour class D. false; Dan can never be in jazz band
Find the exact value for cos π 12 applying sum and difference formulas involving π 3 and π 4 .
First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, π/12 can be split into π/3−π/4.
cos(π/3−π/4)
Use the difference formula for cosine to simplify the expression. The formula states that cos(A−B)=cos(A)cos(B)+sin(A)sin(B)
cos(π/3)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/3) is 12, so:
(12)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/4) is √22.
(12)⋅(√22)+sin(π/3)⋅sin(π/4)
The exact value of sin(π/3) is √32.
(12)⋅(√22)+(√32)⋅sin(π/4)
The exact value of sin(π/4) is √22.
(12)⋅(√22)+(√32)⋅(√22)
Simplify each term:
√24+√64
Combine the numerators over the common denominator.
(√2+√6) / 4
#1 please help fr fr
It's way too blurry for me too. perhaps make one that's clearer so we could answer?
PLEASE SHOW WORK
Solve for the formula for the variable x
ax+5=by-10
for the expoential function y= ab^x, which of the following value(s) would produce an expoential decay function?
a. 0<b<1
b. a<0
c. b>1
d.b<0
Answer:
its a but what would it be if it was a growth
Step-by-step explanation:
A rectangle has an area of 48 cm^2 and a perimeter of 38 cm. what are the dimensions of the rectangle?
We infer from the question that the dimensions of the rectangle, satisfying both the given area of 48 cm² and the given perimeter of 38 cm, are 12 cm x 4 cm.
Explanation:The topic of this question relates to the geometrical concept of rectangles. We know that the area of a rectangle is determined by the formula Area = length * width and the perimeter is given by the formula Perimeter = 2*(length + width). Given that the area is 48 cm² and the perimeter is 38 cm, we can set up the following equations:
Area = length * width = 48Perimeter = 2*(length + width) = 38Since the Perimeter and Area involve both length and width, we use simultaneous equations to solve this. By trial and error or via substitution method, we find that the dimensions satisfying both conditions are: length = 12 cm and width = 4 cm. Therefore, the dimensions of the rectangle are 12 cm x 4 cm.
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The longest stem on elis geranium plant is 7.24 inches. write 7.24 in word form answer
There are 9cans that can store 45 tennis balls what is the constant of the proportionality for this situation
Which number is irrational?
A: 0.277277277...
B:0.333...
C:pie
D:0.7
Answer:
PI or 0.333333333333333333333333333
How do you use the product of 123 times 47 to find the product of 123 times 0.47 explain the difference in the two products?
the sum of three numbers is 64. the second number is 3 more than the first. the third number is 11 less than twice the first. find the numbers
veronica saving money to buy a saddle for her horse that cost $175. she plans to save $10 the first month and then increase the amount she saved by $5 each month after the first month. how many months will it take her to save $175
1) Convert 3/5 to a decimal (show work)
2)Convert 3 8/10 to a decimal (show work)
3)Convert 5/9 to a decimal (show work)
What would be the answer to this question and how would you solve it??
It is #24
the slope is the change in Y over the change in x
x = the first numbers 5 & 10
y = the second numbers 8 & 12
10-5 =5
12-8 = 4
so slope = 4/5
The product of the slopes of two non-vertical perpendicular lines is always -1. It is NOT possible for two perpendicular lines to both have a positive slope because the product of two positives is positive. So for the product of the slopes to be -1, one of the slopes must be positive and the other negative.
True
False
translate into an equation Find three consecutive even integers whose sum is negative eighteen
what is 0.698 rounded to the nearest hundreath
A vending machine has three different choices of drink: lemonade (L), cola (
c. and orange (O). Unfortunately, it has been filled at random and you cannot choose the drink you want. You are going to buy two drinks. This is a list of some of the combinations of drink that you could end up getting. CO, OL, LL, CL, CC, Which combination of drinks have you missed from the list?
When 5.7 m is divided by 2 s, the quotient is correctly reported as?
To get the correct answer or get the best degree of precision in the results, the answer or the quotient must be reported based on the least amount of decimal points of the given numbers. In this case, the least number of decimal points is zero since we are given the value 2.
So the quotient is:
5.7 / 2 = 3
Answer:
3 m
can someone help me with this ?
Can someone help me on problem 79
79
a) the multiplier would be 1 - 0.15 = 0.85
b) value = 27,000*0.85^y ( with y being the number of years)
c) y = 5 years
27000 x 0.85^5 = 11980.04
the car will be valued at $11,980.04 after 5 years
−20 ≤ 59(F−32) ≤ −15
To solve the inequality −20 ≤ 59(F−32) ≤ −15, divide by 59 and then add 32 to isolate the variable F, resulting in the range 31.661°F to 31.746°F.
Inequality Solution
Let's solve the compound inequality −20 ≤ 59(F−32) ≤ −15 step by step.
First, we need to isolate the variable term by dividing all parts of the inequality by 59.Therefore, the Fahrenheit temperature F is in the range of approximately 31.661°F to 31.746°F.
Jamaal studied h hours for a big test. Karla studied one fourth as long. Write an algebraic expression for the length of time Karla studied. Use this expression to determine the length of time that Karla studied if Jamaal studied for 5 hours and 20 minutes.
At the end of the first day, 7 weeds appear in your neighborhood park. each day, the number of weeds increases by four times. how many weeds will be in the park at the end of 14 days?
Andre went hiking near his house.The first trail he hiked on took him 4.5 miles away from his house.The second trail he hiked took him 2.4 miles closer to his house.The third trail took him 1.7 miles further away from his house.After Andre hiked the three trails,how far from his house was he?
Andre is 3.8 miles away from his house after hiking the three trails.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.
The operator that performs the arithmetic operations are called arithmetic operators.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
The first trail he hiked on took him 4.5 miles away from his house.
The second trail he hiked took him 2.4 miles closer to his house.
The third trail took him 1.7 miles further away from his house
Here the expression of the given problem and apply the arithmetic operations,
⇒ 4.5 - 2.4 + 1.7
⇒ 2.1 + 1.7
⇒ 3.8
Hence, Andre is 3.8 miles away from his house after hiking the three trails.
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how may ounces of trail mix are in a bag that weighs 0.681 kilograms?
The sum of two numbers is 55 and the difference is 1 . What are the numbers?
Rita's score is 13 more than 2 times milan score. if we let y represent milan's score, write an algebraic expression for rita's score.
Final answer:
Rita's score is expressed algebraically by the expression 2y + 13, where y represents Milan's score.
Explanation:
Rita's score can be expressed algebraically in terms of Milan's score. Given that y represents Milan's score, the problem statement tells us that Rita's score is 13 more than 2 times Milan's score. So, we can write Rita's score as 2y + 13. To translate this into an algebraic expression, we start with Milan's score y, multiply it by 2 to get '2 times Milan's score', and then add 13 to get '13 more than 2 times Milan's score', which results in our final expression, 2y + 13.
This expression shows us how to calculate Rita's score based on any given value for Milan's score.