Answer:
x ≈ 41.6°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = \(\frac{opposite}{adjacent}\) = \(\frac{JK}{KL}\) = \(\frac{80}{90}\) = \(\frac{8}{9}\) , then
x = \(tan^{-1}\) ( \(\frac{8}{9}\) ) ≈ 41.6° ( to the nearest tenth )
Robert planted 12 daffodil bulbs and 18 tulip bulbs in his garden last winter. If all the bulbs sprout and
bloom this spring, what will be the ratio of tulips to daffodils in Robert's garden? Express as a simplified
ratio.
Answer:
Ratio 2:3 I think :)
Step-by-step explanation:
Which equation represents the graphed function?
The linear function graphed is defined as follows:
y = 3x/2 - 3.
(third option).
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when the graph crosses the y-axis.The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:
b = -3.
When x increases by 2, y increases by 3, hence the slope m is given as follows:
m = 3/2.
Then the function is defined as follows:
y = 3x/2 - 3.
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Siplyfying radicals- Pythagorean theorem maze
By Pythagorean theorem, the maze is solved in the following way: x = 6√5 → x = 2√5 → x = 13√5 → x = 2√41 → x = 18√2 → x = 4√6 → x = 4√41 → x = 8√3 → x = 8√5
How to solve a maze involving Pythagorean theorem
In this problem we need to complete a maze by means of Pythagorean theorem, whose definition is now introduced:
r² = x² + y²
Where:
r - Hypotenuse.x, y - LegsNow we proceed to solve the maze:
Step 1:
x = √(12² + 6²)
x = 6√5
Step 2:
x = √(6² - 4²)
x = 2√5
Step 3
x = √(22² + 19²)
x = 13√5
Step 4
x = √(8² + 10²)
x = 2√41
Step 5
x = √(27² - 9²)
x = 18√2
Step 6
x = √(14² - 10²)
x = 4√6
Step 7
x = √(16² + 20²)
x = 4√41
Step 8
x = √(16² - 8²)
x = 8√3
Step 9
x = √(24²- 16²)
x = 8√5
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\(\sqrt[3]{x}=\sqrt[5]{32}\)
why can't i just cube both sides, therefore kick the x out of the cubic root, and then i would have
\(x = \sqrt{32} \\then \\x = \sqrt{16 * 2}\\x = 4\sqrt{2}\)
Answer:
\(x = 8\)
Step-by-step explanation:
\( {x}^{ \frac{1}{3} } = {32}^{ \frac{1}{5} } \)
\( {( {x}^{ \frac{1}{3} } )}^{3} = {( {32}^{ \frac{1}{5} } )}^{3} \)
\( {x}^{1} = \sqrt[5]{ {32}^{3} } \)
\(x = \sqrt[5]{32768} \)
\(x = 8\)
You measure 48 backpacks' weights, and find they have a mean weight of 70 ounces. Assume the population standard deviation is 6.4 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight.
Give your answers as decimals, to two places
The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.
To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).
Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.
Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:
Confidence Interval = 70 ± (2.576 * 6.4 / √48).
Simplifying the expression, we get:
Confidence Interval ≈ 70 ± 1.855.
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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.
4x + y2 = 32, x = yFind the area of the region.
Refer to the attached photos. I would appreciate a rate :)
The approximate average distances from the sun to Mars and Mercury are listed
below:
Mars: 2.28 x 108 kilometers
Mercury: 5.79 x 107 kilometers
How many times farther from the sun is Mars? Write your answer in standard
notation, rounding to the nearest tenth.
Answer:
3.9
Step-by-step explanation:
Your calculator will tell you ...
(2.28×10^8)/(5.79×10^7) ≈ 3.9
Mars is about 3.9 times as far from the sun as Mercury.
Write an equation to show how
much money (y) a plumber
makes in one visit to fix a
furnace if they charge $50 per
hour (x) and $100 per visit.
Answer:
y = 50x + 100
Step-by-step explanation:
Nevaeh has a bag that contains pineapple chews, lemon chews, and peach chews. She performs an experiment. Nevaeh randomly removes a chew from the bag, records the result, and returns the chew to the bag. Nevaeh performs the experiment 54 times. The results are shown below: A pineapple chew was selected 21 times. A lemon chew was selected 10 times. A peach chew was selected 23 times. Based on these results, express the probability that the next chew Nevaeh removes from the bag will be pineapple or peach as a decimal to the nearest hundredth.
Answer: It is 0.81
Step-by-step explanation:
I wont give an explanation this time sorry I don't feel like it but just so you know I got this answer right so trust me.
Find x and y.
Give reasons to justify your solution
Answer:
X=32, Y=148
Step-by-step explanation:
X is 32 degrees because it is parallel to that 32 between f and b.
Y is 148 degrees because x and y together make a straight line and a straight line is 180 degrees therefore, 180-32 = 148.
What are two values that could bring you a sum of (-12)?
Possible Answers:
any two nubers that add up to -12 work:
12 + (-24)
11 + (-23)
10 + (-22)
9 + (-21)
8 + (-20)
7 + (-19)
6 + (-18)
5 + (-17)
4 + (-16)
3 + (-15)
2 + (-14)
1 + (-13)
0 + (-12)
-1 + (-11)
-2 + (-10)
-3 + (-9)
-4 + (-8)
-5 + (-7)
-6 + (-6)
-7 + (-5)
-8 + (-4)
-9 + (-3)
-10 + (-2)
-11 + (-1)
-12 + (-0)
2. SUBTRACT: x2 + 3xy-y2 from x2 + 5xy
Answer:
y² + 2 x y
Step-by-step explanation:
Given polynomials
x² + 3x y -y² and x² + 5xy
The subtract x² + 3x y -y² from x² + 5xy
x² + 5xy - ( x² + 3x y -y²)
⇒ x² + 5xy -x² - 3xy +y²
⇒ 2 x y + y²
HELP geometry please helppp asap please I beggggggg I need by today
Answer: 62°
Step-by-step explanation:
A hot air balloon descended 3240 feet in an hour. Find the change in altitude per minute?
Unit analysis is a tool that we can use to convert units. It involves multiplying the original number by a fraction to cancel out units.
Solving the QuestionWe're given:
\(\dfrac{3240\hspace{4}feet}{hour}\)
We also know that:
\(\dfrac{hour}{60\hspace{4}minutes}\)
Multiply the two to cancel out the hour:
\(\dfrac{3240\hspace{4}feet}{hour}\times\dfrac{hour}{60\hspace{4}minutes}\\\\=\dfrac{3240\hspace{4}feet}{60 minutes}\)
Simplify:
\(=\dfrac{54\hspace{4}feet}{minute}\)
Answer\(\dfrac{54\hspace{4}feet}{minute}\)
how many solutions does the system of equations have?
Step-by-step explanation:
The ONE solution to this system of two lines is the point where the two lines cross at (1,4)
The Reed family and the Ross family each used their sprinklers last summer. The water output rate for the Reed family's sprinkler was 20 L per
output rate for the Ross family's sprinkler was 30 L per hour. The families used their sprinklers for a combined total of 60 hours, resulting in a total water output
of 1600 L. How long was each sprinkler used?
Reed Family's sprinkler took time 20 hours and Ross Family's sprinkler took time 40 hours.
What are Linear Equation in two variable?A linear equation in two variable is in the form of ax + by + c = 0; where a, b and c are constant. a or b any one of these must not equal to zero. Here 'x' and 'y' are two variables.
For example:
1. 3x + 2y = 3
2. 5x + 4y = 4
We have many methods to solve pair of system of linear equation: Substitution method, Elimination method etc.
Here, we have given that:
Reed Family's sprinkler = 20 L per hour
Ross Family's sprinkler = 30 L per hour
Total time taken by both the sprinkler = 60 hour.
Total water output = 1600L
Let Reed Family's sprinkler took time 'X'
Ross Family's sprinkler took time 'Y'
Now, the equation formed will be
X + Y = 60 ---------- ( i )
20X + 30Y = 1600 ---------- ( ii )
put value of 'X': X = 60 - Y -------- ( iii )
in equation ( ii )
20 ( 60 - Y ) + 30Y = 1600
1200 -20Y + 30Y = 1600
10Y = 1600 - 1200
10Y = 400
Y = 40 hours
put value of 'Y' in equation ( iii )
X = 60 - Y
X = 60 - 40
X = 20 hours
Hence,
Reed Family's sprinkler took time 20 hours and Ross Family's sprinkler took time 40 hours.
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What is the probability of flipping a coin once and getting heads if you have gotten 5 tails in a row before that?
a. 1/32
b. 1/5
c. 1/4
d. 1/2
Answer:
Answer is..... D
Step-by-step explanation:
every single flipping may two results, head or tail.So last one has equal chance.
ALGEBRA Ben Shield's credit card uses the unpaid-balance method to compute the finance charge at a monthly periodic rate of 1.875%. During the monthly billing cycle, Ben charged $238.75, made a payment of $300.00, and had a finance charge of $7.99. Find his unpaid balance, previous balance, and new balance.
The new balance is a credit of $ 48.78.
Since Ben Shield's credit card uses the unpaid-balance method to compute the finance charge at a monthly periodic rate of 1.875%, and during the monthly billing cycle, Ben charged $ 238.75, made a payment of $ 300.00, and had a finance charge of $ 7.99, to find his new balance, the following calculations must be performed:
Finance charge + new purchases + previous balance - payments = X 238.75 x 1.01875 + 7.99 - 300 = X 243.22 + 7.99 - 300 = X 251.21 - 300 = X -48.78 = X
Therefore, the new balance is a credit of $ 48.78.
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P is the midpoint of NO and equidistant from MN and MO. If M=8i+3j and no = 4i-5j Find MP
The position vector of point P, MP, is given by MP = 6i - j.
To find the position vector of point P, which is the midpoint of NO, we can use the midpoint formula.
The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:
Midpoint (Mᵖ) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Let's find the position vector of point P using the given information:
Point N: N = 4i - 5j
Point O: O = 8i + 3j
Using the midpoint formula, we can find the coordinates of point P:
x-coordinate of P: (x₁ + x₂) / 2 = (4i + 8i) / 2 = 12i / 2 = 6i
y-coordinate of P: (y₁ + y₂) / 2 = (-5j + 3j) / 2 = -2j / 2 = -j
Therefore, the position vector of point P, MP, is given by:
MP = 6i - j
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At Toby's Restaurant, 1/4 of the dishes on the menu are vegetarian. Of the vegetarian dishes, 2/5 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta dishes?
I think the answer would be 1/10
Here's my work:
Four times an angle is equal to half of its supplement. Find the measures of both angles.
Answer:
Step-by-step explanation:
Let the angle be x
supplementary angles add up to 180, complementary angles add upto 90
The supplement of x will be 180-x, and complement angle of x will be 90-x
given that 180-x = 4(90-x)
=> 180 -x = 360 - 4x
=>3x = 360 - 180 = 180
3x = 180
x = 60
Please help on number 19
(20 points )
Answer:
she has $4 in nickels an $2 in dimes hope this helps and have a good day...
explanation I know this because it said in total she had $6 in her piggy bank so you put $2 in dimes and $2 in nickels and then it said she had twice as many nickels than she dose dimes so then u would add 2 more dollars to nickels that's how u get the answer.
The product of a number and -7 amounts to seven times the sum of that number and 20. Find the number.
Answer: -10
Step-by-step explanation:
If you put it in an equation it would be -7x=7(x+20). You would then -7x to both sides to get -14x=140. Just divide -14 on both sides to isolate x. This equates to -10. If you put -10 back into the equation then it says that 70 is 7 times larger than 10. Which it is.
The graph and table each show a proportional relationship between the number of miles traveled and the
advertised number of gallons of gas used for the two car models, A and B, respectively. Based on the
graph and table, car A can travel how many times the distance car B can travel when both cars use
1 gallon of gas? Write your answer as a decimal.
Enter your answer in the box
1.25
To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.
For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.
For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.
To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:
25/20 = 1.25
Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.
Calculate the equation on the following line
Answer:
The equation of the line:
\(y\:=\:\frac{-3}{2}x\:+\frac{7}{2}\)Step-by-step explanation:
We know the slope-intercept of line equation is
\(y = mx+b\)
where m is the slope and b is the y-intercept
Given the points
(3, -1)(-1, 5)Finding the slope between two points (3, -1) and (-1, 5)
\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)
\(\left(x_1,\:y_1\right)=\left(3,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:5\right)\)
\(m=\frac{5-\left(-1\right)}{-1-3}\)
\(m=-\frac{3}{2}\)
substituting m = -3/2 and the point (3, -1) in the slope-intercept form
\(y = mx+b\)
\(-1=-\frac{3}{2}\left(3\right)+b\)
\(-\frac{9}{2}+b=-1\)
Add 9/2 to both sides
\(-\frac{9}{2}+b+\frac{9}{2}=-1+\frac{9}{2}\)
\(b=\frac{7}{2}\)
now substituting b = 7/2 and m = -3/2 in the slope-intercept form
\(y = mx+b\)
\(y\:=\:\frac{-3}{2}x\:+\frac{7}{2}\)
Therefore, the equation of the line:
\(y\:=\:\frac{-3}{2}x\:+\frac{7}{2}\)What is the probability of choosing a king of hearts or a queen of spades from a deck of cards? Type your answer as a fraction.
Answer:
Step-by-step explanation:
1 /13
Answer:
1/13???
Step-by-step explanation:
PLEASE HELP ILL GIVE YOU THE BRIANLYEST ANSWER ABC is shown on the coordinate gridMrs. Massey will reflect the triangle across the x-axis to create triangle A'B'C'. Which rule describes this transformation ?
Answer:
The answer is c because there is not suppose to be a negative number
Step-by-step explanation:
Help me please!!!!!!!
Answer:
I am not sure on the first one but this is what I think:
False
False
True
Step-by-step explanation:
Sorry if it's wrong!!
The linear equations graphed in the coordinate plane below intersect.
Which coordinate point is the solution
Answer: NUMBER 3
Step-by-step explanation:
Consider a simple stochastic model of the weather in Syracuse in which each day is classified as either Sunny, Rainy or Windy. The weather tomorrow ONLY depends on the weather today, but NOT on the weather of previous days.
If today is Sunny, then tomorrow is Sunny with probability 40%; tomorrow is Windy with probability 60%.
If today is Rainy, then tomorrow is Sunny with probability 25%; tomorrow is Rainy with probability 50%.
If today is Windy, then tomorrow is Sunny with probability 33%; tomorrow is Windy with probability 33%.
a. Find the transition matrix P describing the model.
b. If today is Sunny what is the probability that it will be Rainy after 3 days?
Answer:
If today is Sunny, then tomorrow is Sunny with probability 40%; tomorrow is Windy with probability 60%.
Step-by-step explanation:
If it is sunny then we can confide that as If today is Sunny, then tomorrow is Sunny with probability 40%; tomorrow is Windy with probability 60%.