Answer:
Angle BAC=63
Angle BCD=117
Given H = f(t) where H is the height in meters of an object and t is the time in
seconds since it was launched, which of the following is the best interpretation of f(2) =18?
A. The object travels 2 meters for every 18 seconds.
B. 18 seconds after the object is launched it is traveling 2 meters per second.
C. The object is 36 meters in the air.
D. 2 seconds after the object is launched it is 18 meters in the air.
E. The object travels 18 meters for every 2 seconds.
F. 2 seconds after the object is launched it is traveling 18 meters per second.
G. 18 seconds after the object is launch it is 2 meters in the air.
Answer:
D
Step-by-step explanation:
Well, since t = time in air, we already know that it traveled 2 seconds.
H = height in meters, and H = 18
So, after 2 seconds the object is 18m in the air
So, option D
what is the equation of the line in slope intercept form
Answer:
y=-3/2+1
Step-by-step explanation:
The weights and heights of six mathematics students are given in the following table
In the statement, "Height is a function of weight," which variable is the input and which is the output?
a.
Weight is output, height is input
b.
Both weight and height are the input
c.
Weight is input, height is output
d.
Both weight and height are the output
The correct statement for the function will be Weight is input, height is output.
What is function?The function is a relationship between inputs, and all the inputs have an output.
Given that, The weights and heights of six mathematics students are given and the statement, "Height is a function of weight,"
Mathematically, we can write,
f(w) = h, where w = weight and h = height.
We can conclude that, the value of Height is depended on the value of Weight.
Therefore, Weight is input variable and Height is output variable.
Hence, option C is the correct answer.
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What is the solution to StartFraction 5 over 6 EndFraction x minus one-third greater-than 1 and one-third?
x > StartFraction 25 over 18 EndFraction
x < StartFraction 25 over 18 EndFraction
x > 2
x < 2
The value of x is x > 2.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator.
Any number can be expressed as fractions.
The given expression is \(\frac{5}{6}\)x - \(\frac{1}{3}\) > 1 \(\frac{1}{3}\)
We have to rewrite the expression with x on one side.
\(\frac{5}{6}\)x - \(\frac{1}{3}\) > 1 \(\frac{1}{3}\)
\(\frac{5}{6}\)x > 1 \(\frac{1}{3}\) + \(\frac{1}{3}\)
\(\frac{5}{6}\)x > \(\frac{4}{3}\) + \(\frac{1}{3}\)
\(\frac{5}{6}\)x > \(\frac{5}{3}\)
x > \(\frac{5}{3}\) × \(\frac{6}{5}\)
x > 2
So the value of x is greater than 2.
Hence the correct option is x > 2.
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How many and what type of solutions does 5x2−2x+6 have?
1 rational solution
2 rational solutions
2 irrational solutions
2 nonreal solutions
Answer:
2 nonreal solutions
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 (a ≠ 0 )
then the nature of the roots are determined by the discriminant
b² - 4ac
• if b² - 4ac > 0 then 2 real and irrational solutions
• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions
• if b² - 4ac = 0 then 2 real and equal solutions
• if b² - 4ac < 0 then no real solutions
5x² - 2x + 6 = 0 ← in standard form
with a = 5 , b = - 2 , c = 6
b² - 4ac
= (- 2)² - (4 × 5 × 6)
= 4 - 120
= - 116
since b² - 4ac < 0
then there are 2 nonreal solutions to the equation
Which of the following choices evaluates (-x)^2 when x=-1
Answers:
1)1
2)-2
3)-1
Answer please. Explanation thank you, you don’t have to explain if you don’t want to. Please answer
Friction creates heat and lowers the _______
Answer:
energy
Step-by-step explanation:
Answer:
energy
Step-by-step explanation:
The equation 3x − 6 = 2(x + 4) has solution(s).
The expression 3x − 6 = 2(x + 4) has one solution of x which is 10
x = 10How to solve the linear equationA linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph
For the given problem, 3x − 6 = 2(x + 4) the solution is sort as thus
3x − 6 = 2(x + 4)
expanding the parenthesis
3x − 6 = 2x + 4
collecting like terms by subtracting 2x from both sides and adding 6 on both sides will result to the equation below
3x - 2x = 6 + 4
x = 10
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Explain why a rotation of 270 Degress clockwise will result in the same transformation as a rotation of 90 degress counterclockwise.
Answer:
Step-by-step explanation:
b/c they end up in the same place but take different ways of getting there... 90 + 270 adds up to a full circle of 390 so b/c one goes in the positive direction and one goes in the negative, the both get to the same location, :)
what is 28.5 inches in height?
Solve each equation f+2/9=9 1/9
A f=8 8/9
B f=7 8/9
C f=8 7/9
Answer:
A) f=8 8/9
Step-by-step explanation:
f+2/9=9 1/9
f+2/9=82/9
f=82/9-2/9
f=80/9
f=8 8/9
help meeee thank you dont guess pleaseeee
The right unit multipliers is A, 24 ft²/1 min . 12 in/1 ft . 12 in/1 ft . 1 min/60 sec.
How to solve unit multipliers?The correct choice is:
24 ft²/1 min . 12 in/1 ft . 12 in/1 ft . 1 min/60 sec.
This correctly uses unit multipliers to convert 24 square feet per minute to square inches per second.
To convert from square feet to square inches, multiply by the conversion factor (12 inches per 1 foot) twice because of dealing with area.
To convert from minutes to seconds, multiply by the conversion factor (1 minute per 60 seconds).
So, when multiplied these conversion factors together with the given value of 24 ft²/1 min:
24 ft²/1 min . 12 in/1 ft . 12 in/1 ft . 1 min/60 sec
= (24 x 12 x 12) in² / (1 x 1 x 1) min x (1 x 1 x 60) sec
= 4,608 in²/sec
Therefore, the answer is 24 ft²/1 min . 12 in/1 ft . 12 in/1 ft . 1 min/60 sec.
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Given that
5
x
−
4
y
=
34
Find
y
when
x
=
−
3
Give your answer as an improper fraction in its simplest form.
What must m∠QPS be for PQRS to be a parallelogram?
There is a quadrilateral PQRS in which the length of side PQ is 6b, the length of side QR is 4a+1, the length of side RS is 11b-10, and the length of side PS is 2a+9. The measure of angle PQR is (6x+13) degrees and the measure of angle PSR is (7x-5) degrees.
Answer: 50 degrees
Step-by-step explanation:
m∠QPS = 180 - m∠PQR - m∠PSR
= 180 - 125 - (7x - 5)
= 50 degrees
please help me asap and show calculations
Answer:
Step-by-step explanation:
A company plans to sell embroidered hats for $15 each. the company’s financial planner estimates that the cost, y, of manufacturing the hats is a quadratic function with a y-intercept of 7,920 and a vertex of (150, 9,000). what is the minimum number of hats the company must sell to make a profit? 151 401 529 601
The minimum number of hats the company must sell to make a profit will be B. 401.
What is profit?It should be noted that profit simply means the gain that's derived from the sale of a good.
In this case, the company plans to sell embroidered hats for $15 each. To make profit, the company will need to sell 401 hats.
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Answer:
B. 401
Step-by-step explanation:
edge 2023
What is the length of RU ?
A) 5 cm
B) 10 cm
C) 6 cm
D) 8 cm
Answer:
B) 10 cm
Step-by-step explanation: since DC scaled up to 10 cm and they were both originally 6cm, RU would be 10cm.
Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep. (1 gallon = 231 in3, 1 inch = 2.54 cm) Which of the following scenarios will happen? (2 points) The paint will not fill the tray by 369 cm3. The paint will not fill the tray by 5.22 in3. The paint will fill the tray exactly. The paint will overfill the tray by 5.22 in3.
Answer:
The paint will not fill the tray by 5.22 in³.
Step-by-step explanation:
V = L × W × H
5 cm → in = 1.9685
V = 12 × 10 × 1.9685
V = 236.22 in³
Available Amount of Paint - 231 in³
236.22 in³ - 231 in³ = 5.22 in³
Hope this helps! :)
What two number multiply to 30 and add to -13?
Answer:
-10 and -3
Step-by-step explanation:
hope this helps and have a nice day!
Answer:
10 and 3. Hope this helps (:
Step-by-step explanation:
I'm really stuck can someone help?
A 24-ounce package of frozen peas costs $1.01. Give the unit price in cents per ounce. Round to the nearest tenth of a cent.
Answer:
4.2 cents
Step-by-step explanation:
Take the total cost and divide by the number of ounces
1.01 /24
0.04208
Round to the nearest tenth of a cent ( 3 decimal places)
0.042
4.2 cents
1. what is the height of the cone? Explain how you found the height.
2. Now that you have the height of the cone, how can you solve for the slant height, s?
3. Now that you have the height of the cone, how can you solve for the slant height, s?
1. The height of the cone is equal to
2. You can solve for the slant height, s by applying Pythagorean's theorem.
3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.
How to calculate the volume of a cone?In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:
Volume of cone, V = 1/3 × πr²h
Where:
V represent the volume of a cone.h represents the height.r represents the radius.By substituting the given parameters into the formula for the volume of a cone, we have the following;
8792 = 1/3 × 3.14 × 20² × h
26,376 = 3.14 × 400 × h
Height, h = 26,376/1,256
Height, h = 21 mm.
Question 2.
In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.
Question 3.
By applying Pythagorean's theorem, we have the following:
r² + h² = s²
20² + 21² = s²
400 + 441 = s²
s² = 841
Slant height, s = √841
Slant height, s = 29 mm.
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What is
the vertex of this
absolute value
function?
Answer:
(-3,-4)
Step-by-step explanation:
The vertex is the point where the two rays meet
The vertex is x=-3, y= =-4
(-3,-4)
Answer:
(-3,-4)
Step-by-step explanation:
The vertex is the point where the two rays meet
The vertex is x=-3, y= =-4
(-3,-4)
One of the most common standardization methods for test scores is to measure how far test scores deviate from the mean in terms of standard deviation. Mathematically, if M and S are the mean and the standard deviation of test scores, a test score of Y will be standardized to (Y−M)/S. For example, if 100 and 5 are the mean and the standard deviation, then a score of 112 will be standardized to (112−100)/5=2.4. Suppose that 6 people take a test. Test scores are 85,60,90,60,90,95. What would be the standardized score if the test score is 90? Hint 1) Use these approximates:
150
≈12.25,
200
≈14.14, and
250
≈15.81. Hint 2) Round the answer to the second decimal place. Hint 3) Use the sample version formula for variance and standard deviation. a. 0.32 b. 0.63 c. −1.27 d. −0.67 e. 0.95 QUESTION 2 Former Carolina Panthers' quarterback Cam Newton won MVP in 2015 season. In the MVP season, his passing yards in 16 regular season games are given below: [ Find the range of his passing yards. a. 269 b. 124 c. 183 d. 216 e. 340
A company conducts a survey to measure customer satisfaction on a scale of 1 to 10. The range of customer satisfaction scores is a. 4
To find the range of customer satisfaction scores, we need to calculate the difference between the highest and lowest scores.
The highest score in the given data set is 10, and the lowest score is 6. Therefore, the range is 10 - 6 = 4.
The range is a measure of variability and represents the spread of the data. In this case, the customer satisfaction scores range from 6 to 10, indicating a spread of 4 points on the scale.
It's important to note that the range only considers the highest and lowest scores and does not take into account the distribution of the remaining scores.
Therefore, it provides a limited understanding of the overall variability in customer satisfaction.
Other measures such as standard deviation or interquartile range may provide a more comprehensive analysis of the data distribution.
The correct option is: a. 4
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Complete question below :
A company conducts a survey to measure customer satisfaction on a scale of 1 to 10. The survey results for a sample of 50 customers are as follows: 8, 9, 7, 6, 9, 8, 10, 7, 8, 6, 7, 9, 10, 9, 8, 7, 6, 9, 8, 10, 7, 6, 7, 8, 9, 10, 8, 7, 9, 8, 6, 7, 9, 8, 10, 7, 8, 6, 9, 8, 7, 10, 9, 8, 6, 7, 9, 8, 10, 7, 8.
What is the range of customer satisfaction scores?
a. 4
b. 3
c. 5
d. 2
e. 1
let p be a finite population with p = {3, 6, 9, 12, 15, 18, 21}. random samples of size 3 are taken without replacement from this population. how many samples of size 3 are there?
There are 35 possible samples of size 3 that can be taken without replacement from this finite population as Here a finite population p = {3, 6, 9, 12, 15, 18, 21}
We want to get how many samples of size 3 can be taken without replacement.
To get the number of samples of size 3, we will use the combination formula: C(n, k) = n! / (k!(n - k)!)
Where n is the population size, k is the sample size, and ! denotes the factorial.
In this case, n = 7 (since there are 7 numbers in the population) and k = 3 (since we want samples of size 3).
Plugging these values into the formula:
C(7, 3) = 7! / (3!(7 - 3)!)
C(7, 3) = 7! / (3!4!)
C(7, 3) = (7 × 6 × 5 × 4 × 3 × 2 × 1) / ((3 × 2 × 1) × (4 × 3 × 2 × 1))
C(7, 3) = (7 × 6 × 5) / (3 × 2 × 1)
C(7, 3) = 210 / 6
C(7, 3) = 35
There are 35 possible samples of size 3 that can be taken without replacement from this finite population.
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Which of the following is a factor of (x+y)3−(x3+y3)? · x2+y2+2xy · x2+y2−xy · xy2 · 3xy ·
We know that (D) 3xy is the factor of the given equation (x+y)³-(x³+y³) using the algebraic identity.
What is algebraic identity?An identity element, also known as a neutral element, in a binary operation on a set is a set element that, when the operation is applied, leaves each element of the set untouched.
In algebraic structures like groups and rings, this idea is applied.
The left side of the equation equals the right side of the equation in an algebraic identity.
As an illustration, (a+b)2 = a2+2ab+b2 is true for all values of and b.
So, we have the equation:
(x + y)³ - (x³ + y³)
Now, get factors as follows:
Use the algebraic identity: (a + b)³ = a³ + b³ + 3ab (a + b)
x³ + y³ + 3xy (x + y) - x³ - y³
Simplify one more step to obtain:
3xy (x + y)
Therefore, we know that (D) 3xy is the factor of the given equation (x+y)³-(x³+y³) using the algebraic identity.
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Correct question:
Which of the following is a factor of (x + y)3 - (x3 + y3 )
a. x² + y² + 2xy
b. x² + y² - xy
c. xy²
d. 3xy
Four beakers contain water as shown below.
Which two beakers of water can be combined to fill one beaker to exactly 1,000 mL?
beaker B and beaker C
beaker B and beaker C
beaker A and beaker C
beaker A and beaker C
beaker A and beaker B
beaker A and beaker B
beaker A and beaker D
beaker A and beaker D
Answer:
A&C
Step-by-step explanation:
It would be A because it has 750 mL and C because it has 250mL and 750+250=1000
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The total length of these planks is 92 metres. Work out the number of planks of length 2 metres in Ben workshop.
Answer: 13
Step-by-step explanation:
For the first half of a baseball season, a player had 90 hits out of 270 times at bat. The player's batting average was
90
270
≈ 0. 333. During the second half of the season, the player had 64 hits out of 276 times at bat. The player's batting average was
64
276
≈ 0. 232. (Round your answers to three decimal places. )
(a) What is the average (mean) of 0. 333 and 0. 232?
The issue inquires to discover the normal (cruel) of two values:
0.333 and 0.232. To do this, able to essentially include the two values together and partition them by 2. Including the two values gives us:
0.333 + 0.232 = 0.565
Separating by 2 gives us:
0.565 / 2 = 0.2825
So the normal of 0.333 and 0.232 is 0.2825.
In any case, the issue inquires to circular our answer to three decimal places, which suggests we have to be circular 0.2825 to the closest thousandth. The third decimal put maybe a 2, which implies we circular down. Hence, the ultimate reply is roughly 0.283, adjusted to three decimal places.
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