Answer:
26.57°
Step-by-step explanation:
[tex]2y = x + 1 \\ y = \frac{1}{2} x + 1 \\ equating \: it \: with \\ y = mx + b \\ slope \: m = \frac{1}{2} \\ \because \: \tan \theta = m \\ \therefore \: \tan \theta = \frac{1}{2} = 0.5 \\ \therefore \: \theta = {tan}^{ - 1} (0.5) \\\therefore \: \theta = {tan}^{ - 1} ( \tan \: 26.565051177 \degree) \: \\ \\ \huge \red{ \boxed{\therefore \: \theta = 26.57 \degree}}[/tex]
Consider the possible solution to each inequality. Choose Yes or No for
each question
a. Is 8.3 a solution of 73.8 S 9x?
Yes No
b. Is 6.5 a solution of 12x < 78?
Yes No
c. Is -7 a solution of 9x > 45?
Yes No
d. Is 17 a solution of 15 - X2-2? o Yes No
e. Is 6 a solution of x + 12 > 18?
Yes No
The answer is below!
Q: Consider the possible solution to each inequality. Choose Yes or No for
each question
a. Is 8.3 a solution of 73.8 S 9x?
b. Is 6.5 a solution of 12x < 78?
c. Is -7 a solution of 9x > 45?
d. Is 17 a solution of 15 - X2-2?
e. Is 6 a solution of x + 12 > 18
Answer :
No
No
Yes
No
No
Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write the answer in percent.
P(greater than 3)=
P(not 5, 6,7,or 8)=
Answer
probability of greater than 3 is 60%
not 5,6,7 or 8 is 60%
Answer:7/10
Step-by-step explanation: multiple of 4 is: 1,2,4. So that's 3 number which would leave you with 7 more which is 70% and 7/10 as a fraction
What is the following quotient? StartFraction StartRoot 120 EndRoot Over StartRoot 30 EndRoot EndFraction 2 4 2 StartRoot 10 EndRoot 3 StartRoot 10 EndRoot
√120 / √30 = √(120/30) = √4 = 2
Answer:
A
Step-by-step explanation:
It's A I got it right on Edge
Find the surface area of a sphere with radius of 1.5 and slant height of 6.
Answer:
about 28.27
Step-by-step explanation:
A=4πr2
Justin is skeet shooting. The height of the skeet is modeled by the equation h= -5t^2 +32t + 2, where h represents the height in meters and t seconds after the skeet is released. The path of Justin's bullet is modeled by the equation h= 31.5t + 1, with the same units. How long will it take for the bullet to hit the skeet? How high off the ground will the skeet be?
By solving the system of equations representing the paths of the bullet and the skeet, we find that the bullet will reach the skeet 3.79 seconds after the skeet's release, at a height of approximately 120 meters.
Explanation:This problem involves solving systems of equations to determine the interaction between a projectile and target, something commonly addressed in physics as well as in mathematics. The solution involves equalizing the equations[tex](h = -5t^2 +32t + 2)[/tex] modeling the height of the skeet and (h = 31.5t + 1) the path of Justin's bullet. By solving this system of equations we find two potential times, t = 3.79 s and t = 0.54 s.
Since we can reason the skeet won't get hit before it is released, disregard t = 0.54 s. Therefore, the bullet will hit the skeet 3.79 seconds after the skeet is released. This is the time it takes for the bullet to reach the skeet. To find the height at which the bullet hits the skeet, substitute t = 3.79 into either of the two original equations (both should work). Using h = 31.5t + 1, for instance, yields approximately h = 120 meters.
So, the bullet hits the skeet 3.79 seconds after the skeet is released, at a height of about 120 meters from the ground.
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Help me! Write an equation to describe the relationship in each table. Check out the attachment to see the tables!
Let’s look at the first table. Set up the rule: y=kx You want to replace the variables with the numbers in the chart. Let’s do 11=k21. Since y is smaller than x we would most likely use a fraction or decimal. Now what we want to do is divide 11 by 21. This should give you the result of 0.5238095238 or ≈0.52 so the rule is y=0.52x.
Now let’s look at the second chart. Let’s do 1=k4. Same thing, divide 1 by 4 which will give you the result of 0.25. The rule of this table is y=0.25x.
These equations capture the linear relationships observed in the tables, allowing you to predict the value of y for any given value of x within these patterns.
In Table 1, you can observe that as the value of x decreases by 1, the value of y also decreases by 1. This suggests a linear relationship between x and y, where y is a function of x. The equation that describes this relationship is:
[tex]\[ y = x - 10 \][/tex]
In Table 2, there is a similar linear relationship between x and y. As x decreases, y also decreases, and the change in y is consistent. The equation for this relationship is:
[tex]\[ y = \frac{x}{4} + 5 \][/tex]
In both equations, the slope is -1 in the first table and 1/4 in the second table, indicating that for each unit change in x, there is a corresponding change in y. The y-intercepts in these equations are -10 and 5, respectively, representing the values of y when x is 0.
These equations capture the linear relationships observed in the tables, allowing you to predict the value of y for any given value of x within these patterns.
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The probable question may be:
Write an equation to describe the relationship in each table. Table 1: x= 25, 24, 23, 22, 21. y= 15, 14, 13, 12, 11. Table 2: x= 36, 28, 16, 12, 4. y= 9, 7, 4, 3, 1.
If f(x)=3x-9, what is the value of f(-8)
1/3x Put the -8 in the place of the f(x) the subtract 9 you´re left with 1 then divde by 3x and you're left with 1/3x
Carl’s square swimming pool has a volume of 1000 cubed feet. What are dimensions of his pool?
Answer: the answer is down bellow
Step-by-step explanation:
x3-10oo Dimensions ft each S.
The dimensions of Carl's square swimming pool, given that its volume is 1000 cubic feet, are approximately 10 feet by 10 feet by 10 feet.
Explanation:Carl's swimming pool is a cube since all sides are equal. The volume of a cube is calculated by cubing one side (s^3). In this case, knowing that the volume is 1000 cubed feet, we can find the side length by taking the cube root of the volume. The cube root of 1000 is approximately 10 feet. Hence, the dimensions of Carl's swimming pool are 10 feet by 10 feet by 10 feet.
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Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.
Complete the following steps to help Rylee find the net change to her banking account balance.
Answer: The net change to her banking account balance is $83.22.
Step-by-step explanation:
Hi to answer this question we have to analyze the information given:
She spent $36.50 plus 8% tax. ( to calculate the tax amount we have to multiply the cost by the percentage in decimal form)
36.50 x (8/100) =$2.92 (value of tax)
Adding to the original cost
36.50+2.92 = $39.42
Then, she spent $25 to refuel her car at the gas station.
39.42 +25 = $64.42
She bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase
23.50 x (20/100) = 4.7 (amount of discount)
Subtracting to the purchase
23.50 -4.7= $18.8
Finally, adding to the total cost.
64.42 +18.8 = $83.22
Final answer:
To find the net change in Rylee's banking account balance, calculate the tax on her clothing purchase, add the fuel cost, and then subtract the grocery discount from the grocery purchase before summing all costs to get a total of $83.22.
Explanation:
The problem of calculating the net change to Rylee's banking account balance is a typical Mathematics problem involving percentages and addition. This is commonly tackled at the High School level. To solve it, we will need to calculate the total cost of each of Rylee's expenditures, including the application of tax and discounts where applicable.
Start by calculating the tax on the clothing store purchase: $36.50 * 8% = $2.92.Add the tax to the original amount to get the total clothing cost: $36.50 + $2.92 = $39.42.Add the fuel cost directly as there is no tax mentioned: $39.42 + $25 = $64.42.Calculate the discount on groceries: $23.50 * 20% = $4.70.Subtract the discount from the grocery total to find the final cost: $23.50 - $4.70 = $18.80.Add the discounted grocery cost to the previous total: $64.42 + $18.80 = $83.22.The net change to Rylee's banking account balance after all her purchases is $83.22.
this is 23 points please help me or i’m gonna fail
Answer:
A
Step-by-step explanation:
Ten students on student council are running for president, vice president, and
secretary. How many different permutations are there for the 3 positions?
Answer:
Step-by-step explanation:Using the word "HAPPY" (let's distinguish the P's as P1 and P2). ... The first person is the president , the 2nd is the Vice President and the 3rd is the Secretary so it ... Q-Four different items have to be placed in three different boxes.
Final answer:
There are 720 different permutations for filling the three positions (president, vice president, and secretary) among ten students on the student council.
Explanation:
The question asks for the number of different permutations there are for three positions (president, vice president, and secretary) among ten students on the student council.
This is a classic permutation problem in which order matters.
To calculate this, we can use the formula for permutations of 'n' items taken 'r' at a time, which is denoted as nPr and calculated as
n! / (n-r)!
where
'!' denotes factorial.
For this case, with ten students (n=10), and selecting three positions (r=3), the calculation would be:
10! / (10-3)! = 10! / 7! = 10 x 9 x 8 = 720.
Therefore, there are 720 different permutations available for the three positions on the student council.
Consider the right triangle. A right triangles with side lengths 28 meters and 45 meters. The hypotenuse is unknown. What is the length of the hypotenuse StartRoot 53 EndRoot StartRoot 1,241 EndRoot 53 m 2809 m
Answer:
The answer is 53 or Square Root (sqrt) of 2809
Step-by-step explanation:
a^2+b^2=c^2
28^2+45^2=c^2
784+2025=c^2
c^2=sqrt 2809
c = 53
The hypotenuse of the right triangle is h = 53 m
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of base of triangle BC = 45 m
The height of the triangle AB = 28 m
And , For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
On simplifying , we get
AC² = AB² + BC²
AC² = 28² + 45²
AC² = 784 + 2025
AC² = 2809
Taking square roots on both sides , we get
The measure of hypotenuse AC = √2809 = 53 m
Hence , the measure of hypotenuse is 53 m
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Jason got 16 hits in his baseball tournament. Two of his hits were home runs, ten were ground balls and the rest were line drives. If Jason's mom only got to see one game during the tournament, what was the probability that she saw Jason hit a line drive?
Answer:
1/16
Step-by-step explanation:
One of the parks mounds is 63 feet in height. If the top of the mound is rectangular in shape with a perimeter of 322 yards, what could be the side lengths of the rectangle?
Answer:
see the explanation
Step-by-step explanation:
we know that
The perimeter of rectangle is given by the formula
[tex]P=2(L+W)[/tex]
where
L is the length
W is the width
In this problem we have
[tex]P=322\ yd[/tex]
substitute
[tex]322=2(L+W)[/tex]
simplify
[tex]L+W=161\ yd[/tex]
so
The side lengths of the rectangle could be any pair of values whose sum must equal 161 yards
see the attached figure to better understand the problem
With the given height approximate the length of the rectangle
[tex]L=144\ ft[/tex]
Convert to yards
[tex]1\ yd=3\ ft[/tex]
so
[tex]144\ ft=144/3=48\ yd[/tex]
Find the width
[tex]48+W=161\\W=161-48\\W=113\ yd[/tex]
therefore
The side lengths of the rectangle could be 48 yd by 113 yd
What type of object is pictured below?
Answer:
ray
Step-by-step explanation:
Answer:
C, a ray
Step-by-step explanation
when Quinn got home he turned the air conditioner on. T represents the temperature in Quinn's home (in degrees celsius) after t minutes. T=42-0.7t how fast did the temperature drop ??
Answer:
0.7 per minute
Step-by-step explanation:
0.7 in the equation represents how much the tempeture was dropping per minute.
Answer:
Step-by-step explanation:
T=42-0.7T
T=42-0.7(0)
T=42-0
T=42
10. A circle has an arc with measure 80° and length 887. What is the
diameter of the circle?
On her MP3 player, Stephanie has 36 songs shorter than three minutes and 72 songs longer than three minutes. What is the probabilty the next song will be longer than three minutes?
Step-by-step explanation:
Total songs = 36 + 72 = 108
[tex]required \: probability = \frac{72}{108} \\ \hspace{100 pt} = \frac{2}{3} \\ [/tex]
Hence, probabilty that next song will be longer than three minutes is [tex] \frac{2}{3}[/tex]
Final answer:
The probability that the next song will be longer than three minutes is 2/3 or 66.67%.
Explanation:
The question concerns calculating the probability of selecting a song longer than three minutes from Stephanie's MP3 player. Stephanie has 36 songs shorter than three minutes and 72 songs longer than three minutes.
To find the probability that the next song will be longer than three minutes, we add the total number of short and long songs to get the total number of songs. The total is 36 + 72 = 108 songs. Since probability is the number of favorable outcomes divided by the total number of outcomes, the probability of selecting a song longer than three minutes is 72 (favorable outcomes) divided by 108 (total outcomes).
This calculation gives us 2/3 or approximately 0.6667, meaning there is a 66.67% chance the next song will be longer than three minutes.
Can anybody help? Exponential Functions
The Johnson family is moving and they need a truck with at least 55 cubic meters of space. The moving trucks they have to choose from are shown in the table below. Which is the smallest truck they can use?
PLEASE I WILL MARK AS BRAINLIEST!
Answer:
Medium
Step-by-step explanation:
Cause that what it is.
A museum groundskeeper is creating a semicircular statuary garden with a diameter of 23 feet. There will
be a fence around the garden. The fencing costs $7.50 per linear foot. About how much will the fencing
cost altogether? Round to the nearest hundredth. Use 3.14 for pi
Answer: $443.32
Step-by-step explanation:
Hi, to answer this question we have to calculate perimeter of a semicircle:
P = π (d/2) + d
Where d is the diameter
Replacing with the values given:
P = 3.14 (23/2) + 23 = 59.11 feet
Since each linear foot cost $7.50, we have to multiply that cost by the perimeter.
59.11 x 7.50 = $443.32
Feel free to ask for more if needed or if you did not understand something.
Britney can buy daffodil bulbs in packages of 3 for $3.33 or in packages of 2 for $2.68. How much money does she save by buying 12 bulbs at the better price?
WILL GIVE BRAINLIST!!!!! :))
Answer:
The better but is 3 for $3.33
12 for $13.32
Step-by-step explanation:
3.33/3 = 1.11
2.68/2 = 1.34
The better buy is 3 for $3.33
1.11 x 12 = 13.32
1.34 x 12 = 16.08
Given that the measurement is in centimeters, find the circumference of the circle to the nearest tenth. (Use 3.14 for π)
A) 15.7 cm
B) 31.4 cm
C) 62.8 cm
D) 78.5 cm
Answer:
Step-by-step explanation:
The formula for the circumference of a circle of radius r is C = 2πr. That for a circle of diameter d is C = πd.
If we assume that the measurements below are of radius, not diameter, then in A, 15.7 cm = 2(3.14)(r), so that r must be 2.5 cm.
Please be sure to share ALL of the instructions for each problem.
Circumference of the circle is 31.4 cm
Given that;
Value of π = 3.14
Assume;Radius of circle = 5 cm (Approx.)
Computation:Circumference of the circle = 2πr
Circumference of the circle = 2(3.14)(5)
Circumference of the circle = (10)(3.14)
Circumference of the circle = 31.4 cm
So, option "B" is the correct answer to the following question.
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JK Fitness Center offers two membership plans. The tables represent the monthly cost, in dollars, of each membership plan based on the
number of visits to the fitness center.
PART A: At a certain number of visits, both plans will cost the same. At that number, how much will both plans cost, in dollars?
PART B: Which plan is more expensive at the 10th visit?
Write the number of the plan in the box.
Step-by-step explanation:
From the looks of it, Plan A is 25 + 2x and plan B is 40 + x.
Part A:
25 + 2x = 40 + x
x = 15
plug in any: 40 + 15 = $55
Part B:
Plan A = $45
Plan B = $50
Plan B is $5 more expensive.
After 15 number of visits, both plans cost $55 and at the 10th visit, plan 2 is more expensive than plan 1.
What is Arithmetic Sequence?Arithmetic sequence is a sequence of numbers where the numbers are arranged ion a definite order such that the difference of two consecutive numbers is a constant. This constant of difference is called common difference which is commonly denoted by the letter 'd'.
Part A :
From the table, we can clearly express both plans as Arithmetic sequence.
Plan 1 : First term, a = 27 and common difference, d = 2
Plan 2 : First term, a = 41 and common difference, d = 1
Let n be the number of visits that both plans costs the same.
27 + 2(n - 1) = 41 + (n - 1)
27 + 2n - 2 = 41 + n - 1
2n + 25 = n + 40
n = 15
Cost = 41 + (15 - 1) = $55
Part B :
We have to find the 10th term.
For plan 1 :
Cost at 10th visit = 27 + 2(10 - 1) = $45
For plan 2 :
Cost at 10th visit = 41 + (10 - 1) = $50
The plan 2 is more expensive at the 10th visit.
Hence at the 10th visit, plan 2 is more expensive.
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What type of lines are layered directly on top of each other?
PLEASE HELP TUME LIMIT IS 10 MINUTES
Answer:
similar and congruent
Step-by-step explanation:
those are the only words i know
Answer:
congruent and similar
Step-by-step explanation:
Given: f(x) = 3 - X; g(x) = -2x
Find g[f(x)]
Answer:
g[f(x)] = -2(3 - x) = -6 + 2x
Step-by-step explanation:
When we substitute the function f(x) for x in g(x) = -2x, we get the composition g[f(x)]:
g[f(x)] = -2(3 - x) = -6 + 2x
Final answer:
To find g[f(x)], we substitute (3 - x) from f(x) into g(x). The solution to g[f(x)] is -6 + 2x.
Explanation:
The question asks us to find the composition of the functions f(x) and g(x), specifically g[f(x)]. To do this, we first evaluate f(x) and then use that result as the input for g(x).
Given that f(x) = 3 - x, we substitute x in g(x) for the entire function f(x).
g(f(x)) = g(3 - x) since g(x) = -2x.
Now we replace the x in g(x) with (3 - x): g(3 - x) = -2(3 - x).
This simplifies to g(f(x)) = -6 + 2x.
The composition g[f(x)] is therefore -6 + 2x.
The area of a square garden is 36 square feet. What is the side length of the garden
Answer:
6
Step-by-step explanation:
because 6 times 6 =36 so the answer is 6
Answer:
6 ft
Step-by-step explanation:
We know that side * side equals area, and that squares have all sides the same length. So therefore, A = [tex]s^{2}[/tex].
If we know the area, then we can do [tex]\sqrt{36}[/tex] which equals 6
If each cube has edges 1.5 centimeters long, what is the volume of the prism outlined in blue?
A) 9 cm3
B) 15.5 cm3
C) 81 cm3
D) 91.125 cm3
Answer:
The answer is D) 91.125 cm3
Step-by-step explanation:
A middle school has 6th, 7th, and 8th-grade students. Which of the following would be a random sample of the students
A.) Surveying all of the teachers
B.) Surveying the students who buy their lunch in the cafeteria
C.) Surveying everyone whose last name begins with a G
D.) Surveying every 10th student who is on the class rosters
Answer:
c
Step-by-step explanation:
because you wount have a good esstimite you would only have the kids that start with G please mark as brainliest