12^2 + 9^2 = x^2
144 + 81 = x^2
225 = x^2
√225 = √x^2
x = 15
in a bag, there are 4 red shapes, 5 blue shapes, and 3 yellow shapes. there is one triangle, one square, and one circle in each group. there is 1 red and blue rectangle, and 1 blue hexagon. what is the probability of selecting a shape that is blue or a triangle?
Matt Ali deposited $25,000 in a savings account. The account earns 5.5 percent interest compounded daily. Use the formula “ Amount of $1.00 at 5.5 Percent compounded Daily”. A). What amount will he have in his account 28 later ? B.) How much will be compound interest ?
Answer:
A) Amount = $ 116,601.31
B) Compound Interest = $ 91,601.31
Step-by-step explanation:
Compound interest Formula
A = P(1 + r/n)^nt
Where
P = Initial amount invested = $25,000
r = interest rate = 5.5 %
n = Compounding frequency = daily
t = time in years = 28 years
A). What amount will he have in his account 28 years later ?
First, convert R percent to r a decimal
r = R/100
r = 5.5%/100
r = 0.055 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 25,000.00(1 + 0.000150685/365)^(365)(28)
A = $ 116,601.31
B.) How much will be compound interest ?
I = Amount - Principal
A(Amount ) = $ 116,601.31
P (principal) = $ 25,000.00
I = $ 116,601.31 - $ 25,000.00
I (interest) = $ 91,601.31
Joshua took a math contest with 25 questions. Each correct answer earned 6 points while each incorrect answer deducted 4 points. Joshua answered every question and earned 100 points. How many questions did Joshua answer correctly?
Answer: 20 questions
Step-by-step explanation: 6x - (25 - x)*4 = 100
Answer: 20 correct, 5 incorrect
Step-by-step explanation:
25 question total
Create an equation: 6x(correct) - 4y(incorrect) = 100 (points)
You can guess and check if its easiest for you: 6(20) - 4(5) = 100 points
Check: 120 - 20 = 100 points
100 = 100
Hope this helps :0
6-5(2x-3)=4x+7
Solve for x
Answer:
1
Step-by-step explanation:
6 - 5(2x-3) = 4x + 7
-5(2x-3) = 4x + 1
-10x + 15 = 4x + 1
-14x = -14
14x = 14
x = 1
Given line 1, with coordinates (-7,-3) and (4,7), and line
2 with coordinates (7,-7) and (-3, 4), find the slope of line 2
Answer:
-11/10 (fraction) or -1.1 (decimal)
Step-by-step explanation:
The slope formula is m=(y2-y1)/(x2-x1)
x1 = 7
x2 = -3
y1 = -7
y2 = 4
So, it’s: (4 - (-7))/(-3-7)
= (4+7)/(-3-7)
= (11)/(-10)
= -11/10 or -1.1
I hope this helps!
how to find the hypotenuse of a triangle using trigonometry
To find the hypotenuse of a right triangle using trigonometry, we can utilize the Pythagorean theorem and the trigonometric ratios of sine, cosine, or tangent. Here's a step-by-step explanation:
1. Identify the right triangle: Ensure that the triangle has a right angle, which is a 90-degree angle.
2. Label the sides: Identify the two sides of the right triangle that are not the hypotenuse. These sides are typically referred to as the adjacent side and the opposite side.
3. Choose the appropriate trigonometric ratio: Depending on the information you have, select the appropriate trigonometric ratio that relates the sides you know.
- If you have the adjacent side and the hypotenuse, use cosine: cosθ = adjacent/hypotenuse.
- If you have the opposite side and the hypotenuse, use sine: sinθ = opposite/hypotenuse.
- If you have the opposite side and the adjacent side, use tangent: tanθ = opposite/adjacent.
4. Substitute the known values: Plug in the values you have into the trigonometric equation and solve for the unknown side (hypotenuse).
5. Apply the Pythagorean theorem: If you don't have the hypotenuse directly but know the lengths of both the adjacent and opposite sides, you can use the Pythagorean theorem, which states that the sum of the squares of the two legs (adjacent and opposite sides) is equal to the square of the hypotenuse. The formula is a² + b² = c², where c represents the hypotenuse.
6. Simplify and calculate: After substituting the known values into the equation, simplify and solve for the hypotenuse.
By following these steps and applying the appropriate trigonometric ratio or the Pythagorean theorem, you can find the length of the hypotenuse in a right triangle using trigonometry.
For more such questions on Pythagorean theorem
https://brainly.com/question/28981380
#SPJ8
Which table represents y as a function of x?
The table that represents y as a function of x is the bottom right table.
Which table represents y as a function of x?A function from x to y maps elements from the domain (set of the values of x) into elements from range (set of values of y).
Such that each element of the domain can be mapped into only one value from the range.
Here the only table where we can't see that an input is mapped into two different outputs is the last table (bottom right) so that is the correct option.
Learn more about functions at:
https://brainly.com/question/2328150
#SPJ1
HELP ME PLSSS
I kinda know what to do but at the same time, I'm so lost right now. help
Answer:
THEY messed you upon this one and I don't see if you have to write or not!
More details please and thank you!
Step-by-step explanation:
We spotted two
during our hike through the park.
A. deer
B. deers
C. deeres
D. deered
Answer:
deer
Step-by-step explanation:
daffy + duck = Daffy Duck :)
how to know if a function has a vertical asymptote
To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.
A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:
Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.
Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.
For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.
In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.
know more about vertical asymptote.
https://brainly.com/question/29260395
#SPJ11
I need help again please
Answer:
19 R (remainder) 11
Step-by-step explanation:
Hope this helps! :D
Answer:
19 Remainder 11
Step-by-step explanation:
Two large books are stacked on top of each other on a table(Figure 3). The mass of each book is 6. 5 kg. Given that the coefficient of static friction between the bottom book and the table is 0. 15, what is the lowest the coefficient of static friction between the books can be in order to apply force and move both books?
Answer: 19.11
Step-by-step explanation:
Since there are 2 books, multiply 6.5kg by 2.
6.5 x 2 = 13kg
Then, turn kg into Newtons.
F=MG
13x9.8=127.4 N
Then, you multiply that by μ
F=Nμ
127.4x0.15=19.11
using the va/linear foot method, the total va that must be used in a service calculation for a 50' show window is?
The total VA( volt-ampere ) that must be used in a service calculation for 50' show window is 125000VA.
What is VA linear foot method?A volt-ampere (SI symbol: VA or V A, abbreviated as VA) is the unit of perceived power in an electrical circuit. The apparent power is equal to the product of the root mean square voltage (in volts) and the root mean square current (in amperes). Volt-amperes are commonly used to analyze alternating current (AC) circuits. In direct current (DC) circuits, this product equals the real power in watts. The volt-ampere is dimensionally identical to the watt: 1 VA = 1 W in SI units).
The total VA that must be used in a service calculation for 50' show window is, Therefore, by using VA linear foot method,
200 VA per linear foot×50'=10000VA10000VA×1.25
=125000VA
Hence, the total VA that must be used in a service calculation for 50' shadow is 125000VA.
To know more about VA linear foot method, visit:
https://brainly.com/question/22445140
#SPJ4
Is 2x+3y=24 proportional?
Answer:
no
Step-by-step explanation:
if you solved for 'y' you get y = -2/3x + 8 which means the y-intercept is 8 and in order for it to be proportional the y-intercept must be zero
Yo can somebody please help me with this math problem !
Answer:
45
Step-by-step explanation:
this question was asked three times by the same account and I detailed the answer on the first
The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answer:
(4,4)
Step-by-step explanation:
The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.
x^2 - 6x + 12 = 2x - 4
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.
y = 2x - 4 = 2(4) - 4 = 4
Therefore, the solution of this system of equations is (4, 4).
Therefore, the correct answer is (4, 4).
Tom's age is 5 more than twice mick's age.
Which expression represents this?
10x
5x + 2
5 + 2x
PLEASE HELP ME ASAP
One week, the ratio of flats sold to houses sold in a town was 3:7. 12 more houses were sold than flats. How many flats were sold? GIVE ME AN GOOD EXPLANATION thank you
Answer: 5 flats
Step-by-step explanation:
Ratio: 3 : 7 = 3/7
3/7 = x/12
3 x 12 = 7x
36 = 7x
x ≈ 5
Hope this helps!
PLEASE HELP THIS IS DUE IN 1 MINUTE!!!!!!!!!!!!!!!!!!!!!!
The inequality of the graph can be written as x ≥ -1
How to write the inequality of a graph?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. We have different inequality signs e.g greater than (>), less than(<), less than or equal to (≤) and greater than or equal to (≥)
Given the graph attached, in order to write the inequality we need to know where the arrow is pointing at. If the arrow is pointing to the right, the inequality will be greater than (>) and If the arrow is pointing to the left, the inequality will be less than(<)
Also, we need to know the position of the small circle and whether the circle is shaded or not. If it is not shaded, the inequality will be greater than (>) or less than(<). But if it is shaded, the inequality will be less than or equal to (≤) and greater than or equal to (≥)
Considering our graph now, the circle is at -1 (it's one step behind the thick line(0) ) and it is not shaded. Also, the arrow is pointing to the right. Using variable x:
Therefore, the inequality of the graph is x ≥ -1
Learn more about inequalities on:
https://brainly.com/question/6323790
#SPJ1
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 436 gram setting. It is believed that the machine is underfilling the bags. A 28 bag sample had a mean of 433 grams with a standard deviation of 23. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled
Answer:
There is no sufficient evidence
Step-by-step explanation:
The hypothesis :
H0 : μ = 436
H1 : μ < 436
Xbar = 433
s = 23
Sample size, n = 28
The test statistic :
(xbar - μ) ÷ (s/√(n))
(433 - 436) ÷ (23/√(28))
-3 ÷ 4.3465914
Test statistic = - 0.690
The Pvalue, calculated from test statistic value, df = n - 1 = 28 - 1 = 27
Pvalue = 0.248
Pvalue > α ; Hence, we fail to reject the null and conclude that there is no sufficient evidence to support the claim that the bags are underfilled
f(-3) = 2x^2 + 2 - how do i solve
Answer:
20
Step-by-step explanation:
\(f(x)=2x^{2} +2\\f(-3)=2(-3)^{2} +2\\f(-3)=2(9)+2 = 18 + 2 = 20\)
the first term in a sequence is 12. The sequence decreases by 17% each term
Answer:
17% of 12 is 2.04
Write an expression for the description: the product of 3 and p subtracted from 6
Answer:
6 - 3p
Step-by-step explanation:
The word "product" indicates to multiply 3 and p, and "subtracted from" tells us to use subtraction.
Answer:
the sum of 6 6 66 and the product of 3 3 33 and d d dd".
Step-by-step explanation:
2 times the sum of a number and 5 is 16
Answer:
Equation: 2(n + 5) = 16
Number: 3
Step-by-step explanation:
Let n = number.
2(n + 5) = 16
n + 5 = 8
n = 3
Answer:
3
Step-by-step explanation:
2(х+5)=16
х+5=8
х=8-5
х=3
A corporation has four shareholders. The 10,000 shares in this corporation are divided among the shareholders as follows: Shareholder A owns 2700 shares (27% of the company) Shareholder B owns 2450 shares (24.5% of the company) Shareholder C owns 2450 shares (24.5% of the company) Shareholder D owns 2400 shares (24% of the company). Assume that decisions are made by strict majority vote. Does the individual with 24% hold any effective power in voting?
No, the individual with 24% does not hold any effective power in voting. The corporation has four shareholders and 10,000 shares.
The shareholders own shares as follows: Shareholder A owns 2700 shares (27% of the company) Shareholder B owns 2450 shares (24.5% of the company) Shareholder C owns 2450 shares (24.5% of the company) Shareholder D owns 2400 shares (24% of the company).If decisions are made by strict majority vote, which means more than 50% of the total voting power is needed to make a decision.
In this case, to make a decision, a minimum of 50% + 1 vote is required. The total number of votes is 10,000, so to make a decision, 5001 votes are required. Shareholder A has the most shares, with 2700 shares. Shareholder A has 27% of the total shares.
To know more about power visit:
https://brainly.com/question/30150415
#SPJ11
If jill has 6 different sweaters and 4 different pairs of pants, how many different combinations could she wear?.
Using the fundamental counting principle, it is found that there are 24 different combinations she can wear.
The sweaters and the pants are independent, and this is why the fundamental counting principle is used.
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
6 sweaters 4 pairs of pants.Thus:
T = 6 * 4 = 24
There are 24 different combinations.
A combination in mathematics is a selection of items from a fixed that have amazing members, making the order of selection irrelevant (not like permutations). For instance, given a set of three fruits—say let's an apple, an orange, and a pear—one can choose between three combinations: an apple and a pear, an apple.
A hard and fast S's ok aggregate is, more precisely, a subset of S's ok amazing components. As a result, two combinations are equal if and best if each contains the same players. (The ties between the people in each group are not considered.)
(n/k) ={ n(n - 1) . . . (n – k + 1)}/{k(k - 1) . . . 1}
n!/{k!(n - k)!}
k > n.
To learn more about combinations visit here:
brainly.com/question/19692242
#SPJ4
What is the value of this expression?
40÷ [24- 4 x (2+3)]
Answer:
0
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
parenthesis first
40 ÷ [24 - 4 x (5)]
then brackets
40 ÷ [24 - 20]
then subtract within the brackets
40 ÷ 4
then divide
10
Geometry. Math nation section 3
∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements from the given information
Two angles are given.
∠g = (2x-90)°
∠h = (180-2x)°
We have to find the statement which is true about the angles g and h.
If both angles are greater than zero.
Complementary angles add up to 90 degrees
i.e., ∠g and ∠h are complementary if ∠g + ∠h = 90°.
Substituting the given values:
∠g + ∠h
= (2x-90)° + (180-2x)° = 90°
Thus, ∠g and ∠h are complementary angles.
and both the angles are less than 90 degrees so we can tell that angles ∠g and ∠h are acute.
So the statement ∠g and ∠h are acute angles is also true
Hence, ∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements
To learn more on Angles click:
https://brainly.com/question/28451077
#SPJ1
Please answer asap! Giving brainly to correct answer!
What is the relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean?.
In determining a mean, the 90% C.I. is more accurate than the 95% C.I.
What is confidence interval mean ?A confidence interval is the mean of your estimate plus or minus the range of that estimate's variability.
You can reasonably anticipate that if you repeat the test, your estimate will fall within these values. In statistics , confidence is another name for probability
What does "confidence interval" actually mean?A statistician who declares that they have a 95% confidence level has basically seen one possible interval out of many possible ones, and 19 out of 20 of those intervals include the correct value of the parameter.
In determining a mean, the 90% C.I. is more accurate than the 95% C.I.
To know more about confidence intervals.
https://brainly.com/question/24131141
#SPJ4