Answer:
We conclude that:
cosecant (U) = 13/12Step-by-step explanation:
Given the right-angled triangle ΔUWV, it is clear that
The opposite of angle ∠U = 24The hypotenuse = 26Using the trigonometric ratio, we know that
sin Ф = opposite / hypotenuse
cosecant Ф = 1/ sin Ф
Thus,
cosecant Ф = hypotenuse / opposite
substituting Ф = U, hypotenuse = 26 and opposite = 24
cosecant (U) = 26 / 24
cosecant (U) = 13/12
Therefore, we conclude that:
cosecant (U) = 13/12Brett and Andy applied for the same credit card from the same bank. Brett was given a card with an APR of 12.6%. What was his monthly percentage rate? Andy was given a card with an APR of 16.2% what was his monthly percentage rate? if each of them had an average daily balance of $7,980, and had to pay a finance charge, how much more would. Andy pay than Brett?
Andy would pay $23.94 more in finance charges compared to Brett, given their respective APRs, average daily balances, and monthly percentage rates.
To calculate the monthly percentage rate (MPR) from the given annual percentage rate (APR), we divide the APR by 12.
For Brett:
APR = 12.6%
MPR = 12.6% / 12 = 1.05%
For Andy:
APR = 16.2%
MPR = 16.2% / 12 = 1.35%
Next, we can calculate the finance charge for each individual using the formula: finance charge = average daily balance * MPR.
For Brett:
Finance charge = $7,980 * 1.05% = $83.79
For Andy:
Finance charge = $7,980 * 1.35% = $107.73
To find the difference in the finance charges between Andy and Brett, we subtract Brett's finance charge from Andy's finance charge:
Difference = $107.73 - $83.79 = $23.94
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PLEASE HELP THANK YOU HURRY FAST
1) Polynomial of 4 terms.
2) The rational roots of the function are,
x = - 2, 1
3) The zeroes of the function are,
x = - 2, - 3, 2
4) The zeroes of the function are,
x = 1, - 1, 2i, - 2i
5) The correct function which shows the cubic equation is, option 1.
We have to given that;
1) Function is,
⇒ 3x⁵ + 5x⁴ - 7x³ + 15
Clearly, There are 4 terms in function.
Hence, Polynomial of 4 terms.
2) Function is,
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
The correct rational roots are satisfy the function,
Hence, We get;
Plug x = 1,
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0
⇒ 0 = 0
Plug x = - 2;
⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0
⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0
⇒ 0 = 0
Thus, The zeroes of the function are,
x = - 2, 1
3) Function is,
⇒ y = (x + 3) (x + 2) (x - 2)
Hence, The zeroes of the function are,
x = - 3
x = - 2
x = 2
4) Function is,
⇒ 3x² - 4 = - x⁴
⇒ x⁴ + 3x² - 4 = 0
⇒ x⁴ + 4x² - x² - 4 = 0
⇒ x² (x² + 4) - 1 (x² + 4) = 0
⇒ (x² - 1) (x² + 4) = 0
⇒ x² - 1 = 0
⇒ x² = 1
⇒ x = ±1
⇒ x² + 4 = 0
⇒ x² = - 4
⇒ x = ±2i
Hence, The zeroes of the function are,
x = 1, - 1, 2i, - 2i
5) By given graph the correct function which shows the cubic equation is, Option 1.
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Seventy percent of the children went on the excursion. If 27 stayed at school, how many went?
By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.
We are given that,
No. of children who stayed at school is 27,
Also, 70% of the children went on an excursion.
Suppose, the total number of children in percentage is 100%
Out of which 70% went on an excursion
Thus, the children who stayed at school is 100% - 70% = 30%
By using the Unitary method, we can find out the number of 70% of children.
If 30% of the children are 27
Then 70% of the children are = 27 × 100
30
= 63
∴ the total no. of children in the school = 27 + 63
= 90
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answers pleaseeee
im struggling
Answer:
y=3/4x-2
Step-by-step explanation:
slope=3/4x
y-intercept=-2
Given g(x)=^3√x+6, on what interval is the function negative?
A (-∞, -6)
B (-∞, 6)
C (-6, ∞)
D (6, ∞)
The interval which the function is negative is (-∞, -6)
How to determine the interval?The equation of the function is given as:
\(g(x) = \sqrt[3]{x + 6}\)
When the function is negative.
It means that g(x) is less than 0
i.e. g(x) < 0
So, we have:
\(\sqrt[3]{x + 6} < 0\)
Take the cube of both sides
x + 6 < 0
Subtract 6 from both sides
x < -6
The above represents a value from negative infinity to -6
i.e. (-∞, -6)
Hence, the interval which the function is negative is (-∞, -6)
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Joy made a scale drawing of a tower using a scale of 1 foot = 218 millimeters. If the actual height of the tower is 56 feet, then what is the tower's height in Joy's drawing?
Answer:
its 119
Step-by-step explanation:
Light travels about `180000000` kilometers in `10` minutes.
How many kilometers per second?
Answer: 300000 km per second
Step-by-step explanation:
180000000 km for 10 min
10 min = 600 seconds
180000000/600 = 1800000/6 = 300000 km per second
Answer: 300000 kilometers per second
Step-by-step explanation: if it travels 180000000 in 10 minutes and 19 divided by 10 is 1 minute and a minute divided by 60 is a second than 180000000 divided by 10 than 60 is your answer
if angle poa is a right angle and if measure of angle coa is three times as large as measure angle poc.
The angles COA and POC are 22.5 and 67.5 degrees respectively as POA is a right angled triangle.
POA is a right angle so it is 90 degrees.
POC +COA = 90 .....(1)
Also, POC is 3 times as large as COA.
Let's take COA, "x"
POC = 3x
Substituting the values in equation (1) as follows:
x + 3x = 90
4x = 90
x= 22.5
Therefore,
COA = 22.5°
POC = 22.5*3 = 67.5°
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Manny has a giant paintbrush. He also
has a ladder that, in order to be safe, must
be 1 foot from the wall for every 4 feet up
the wall it goes.
Answer:
I think that ir is 4 because 1 x 4
The number of dogs compared to the number of cats owned by the residents of an apartment complex is represented by the model below.
1 cat and 6 dogs
the ratios is dogs to cats.
Answer:
I believe your asking for the ratio of dogs to cats. Your ratio would be 6:1 and your ratio for cats to dogs is 1:6 Hope it helps.
The temperature was 6 degrees below 0 (in Fahrenheit) today. Write a signed number to represent this temperature.
Answer:
hmmmm im thinking
Step-by-step explanation:
Simplify this equation
Answer:
I think the answer might be 12x⁷
30 POINTS IF U GET IT RIGHT
The original price of a chair was $545.00. The store had a sales tax of 4.5%. What is the exact price of the chair, including tax?
how much should dave charge for donuts?
Answer:
1 million bucks UvU
Step-by-step explanation:
Naw I'm just playin $7.49 if it's a good quality donut.
If it not a good quality donut then prolly $4.50
Divide: 7 5/6 ÷ 2/3 need help
To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.
Step 1: Convert the mixed number to an improper fraction:
7 5/6 = (6 * 7 + 5) / 6 = 47/6
Step 2: Multiply the improper fraction by the reciprocal of the fraction:
47/6 ÷ 2/3 = 47/6 * 3/2
Step 3: Simplify the fraction if possible:
47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12
Step 4: Simplify the fraction further, if necessary:
141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4
Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.
x/3 =-8 x=? what does x =?
Answer: -24
Step-by-step explanation:
\(\frac{x}{3}=-8\\\frac{x}{3}(3)=-8(3)\\ x=-24\)
Select the correct answer. Solve the following equation by completing the square. 1/4x^2 + x + 1/4 = 0
Answer:
1/4x^2 + x =-1/4
=−2±√3
Answer:
1/4x^2 + x =-1/4
=−2±√3
----------------
Step-by-step explanation:
WHO KNOWS THIS? I NEED HELP PLS
Answer:
Its D
Step-by-step explanation:
Can someone please help me with these questions! Please explain to me how to do it as well!
Thank You!
Answer:
(2) (-2, 4), (3, 9)
(3) (-2, 4), (1, 1)
Step-by-step explanation:
My favorite way to answer questions like this is to use a graphing calculator to find the points of intersection. The attached shows the points of interest.
If you want to solve this by hand, equate the expressions for y, then solve the resulting quadratic using any of the methods you know. Once you find the x-values, put those in either equation to find the y-value.
__
(2) x^2 = y = x+6
x^2 -x -6 = 0 . . . . put in standard form
(x -3)(x +2) = 0 . . . . factor
x = 3 or -2 . . . . . find the x-values that make the factors zero
y = x^2 = 9 or 4
The points are (3, 9) and (-2, 4).
__
(3) x^2 = -x +2
x^2 +x -2 = 0 . . . . standard form
(x +2)(x -1) = 0 . . . factored
x = -2 or 1 . . . . . . .zeros
y = x^2 = 4 or 1
The points are (-2, 4) and (1, 1).
_____
Comment on factoring
When you consider the factored form and its expanded equivalent, ...
(x +a)(x +b) = x^2 +(a+b)x +ab
you see that the coefficient of the linear term (a+b) is the sum of factors of the constant term (ab). Your knowledge of multiplication tables will often help you factor equations easily. You need to pay attention to signs.
In problem 2, we want factors of -6 that have a sum of -1:
-6 = (-1)(6) = (-2)(3) = (-3)(2) = (-6)(1)
These factor pairs have sums of 5, 1, -1, -5. The pair whose sum is -1 is the one we're looking for: -3 and 2. So, the factors in problem 2 are (x-3)(x+2).
__
In problem 3, we want factors of -2 that have a sum of +1:
-2 = (-1)(2) = (-2)(1)
These factor pairs have sums of 1, -1. So, the second pair is the one of interest: -2 and 1. That makes the factors be (x-2)(x+1).
Work out the volume of the prism height of 12 4 and five
The calculated volume of the prism is 702 cubic cm
Finding the volume of the prismFrom the question, we have the following parameters that can be used in our computation
The trapezoidal prism (see attachment)
The formula of the volume of a trapezoidal prism is
Volume = Base area * Height
Where we have
Base area = 1/2 * (8 + 10) * 6
Evaluate the sum of 8 and 10
Base area = 1/2 * 18 * 6
Evaluate the products of 1/2, 18 and 6
Base area = 54
Also, we have
Height = 13
So, the volume is calculated as
volume = 13 * 54
Evaluate
volume = 702
Hence, the volume of the prism is 702 cubic cm
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Gail pays 0.04 sales tax on each dollar she spends. If she buys a new bike for 137.32 how much sales tax will she pays ?
Answer:
$5.49
Step-by-step explanation:
Basically we can take the price of the bike, 137.32, and multiply by the tax, 0.04, to get 137.32*0.04 and we are left with 5.4928 and we round to 5.49.
Answer:
Gail's sales tax amount is $5.49
Please help me solve #1
Answer:
domain x range y
Step-by-step explanation:
hopefully it helps
The drawing plan for an art studio shows a rectangle that is 192 inches by 4 inches. The scale in the plan is 2 in: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio. The length is feet feet the width is feet, and the area is square
Answer:
Step-by-step explanation:
192in(5ft/2in)=480ft
4in(5ft/2in)=10ft
A=480ft(10ft)=4800ft^2
Question 13
1 pts
13. Which form of the equation of the line would you use to find an equation that represents the line that passes through the points (5, 19) and (4,7). What is the
equation of that line?
O Point-Slope, y=12(x-5)+19
Slope-Intercept, y-12x+19
Recursive, f(n)-f(n-1)+12, f(1)-7
Point-Slope, y-120x-5)+7
Answer:
You would use the point-slope
Answer:
I think is the first line or last line im not to sure sorry.
Step-by-step explanation:
Need help with this first one to answer gets branliest
Answer:
-27
Step-by-step explanation:
Given: f(x)= -x^2+10x-16, g(x)= |11-2x^2|
f(9)= -(9)^2+10(9)-16
= -7
g(-5)= |11-2(-5)^2|
=39
Solve: 2[f(9)]-1/3[g(-5)]
= 2[(-7)] - 1/3[39]
= -27
What is the first step for solving 32- 12x = 24?
1) subtract 32 from both sides of the equation
2) multiply both sides of the equation times negative 12
3) divide both sides of the equation by negative 12
4) add 32 to both sides of the equation
Answer:
The first step is to subtract 32 from both sides
32-12x=24
-32-12x=24-32
-12x= -8
x= \(\frac{-8}{-12}\)
a negative divided by a negative is positive. Now what we do is simplify using the common multiple between 8 and 12. 4 is the answer. So 8/4 is 2 and 12/4 is 3
so x is \(\frac{2}{3}\)
Step-by-step explanation:
since you are solving for the X variable, you want to have the variable by itself on one side. move all numbers to the other side. 32 was a positive, When you move it over the equal sign it becomes negative. If it was a negative in the beginning then it would turn positive after moving it to the other side
I need help with these, quality is blurry.
Answer:
I have no idea sorryyyyyyu
An online furniture store sells chairs for $150 each and tables for $350 each. Every day, the store can ship no more than 22 pieces of furniture and must sell at least $4800 worth of chairs and tables. If
x
x represents the number of tables sold and
y
y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Answer: x+y=22; 150x+350y=4800
Step-by-step explanation:
The box and whisker plot shows the recent test scores from WYVA Summit Math 6 class.
A. What is the interquartile range in a box-and-whisker plot?
B. What percent of the students got 80% or higher, which would be a B?
C. Write about Math: Using the interquartile range, explain how well the math class did on this test.
a. It represents the spread of the middle 50% of the data.
b. At least 50% of the students scored between 80 and 86.
c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
What is interquartile range?How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.
A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.
B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.
Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.
From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.
C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
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A triangle is formed with side lengths of 7 inches, 24 inches, and 25 inches. is the triangle a right triangle?
Answer:
yes.
and here are some other words bc it needs to be longer than one word.
Answer:
Step-by-step explanation: