Answer:
the expression 50 miles per hour in miles per minutes is 0.83 miles per minutes
hope this helps
In triangle ABC, the side lengths are AB = 13, AC = 21, and BC = x. Write a compound inequality that represents the range of possible values for x.
Answer:
7 < x < 34
Step-by-step explanation:
The answer must be greater than 7, else the two sides are less than or equal to the third. That triangle is impossible. The answer must also be less than 34, because then the two other sides would equal the third, making an impossible triangle.
Answer:
7 < x < 34
it just is
Someone please help thanks!!!
Answer:
-3/2
Step-by-step explanation:
The slope of a line is calculated by dividing the difference in the y-coordinates by the difference in the x-coordinates.
Here, the given ordered pairs are (-6, -8) and (-14, 4), so the slope is:
slope = m = (4 - (-8)) / (-14 - (-6)) = 12 / (-8) = -3/2
The answer is thus -3/2.
~ an aesthetics lover
Answer:
m= -3/2
I hope this helps.
A recycling plant recycled 4.9 kg of paper and cardboard the first hour and 7.8 kg/h
afterwards. The plant runs for 8 hours. What is the range of the function?
Answer: R = {0kg, 59.5kg}
Step-by-step explanation:
When we have a function f(x) = y.
The set of the possible values of x is called the domain of the function, and the set of the possible values of y is called the range of the function,
In this case, we have that:
the plant recycled 4.9kg the first hour, and 7.8 kg per hour after.
So this function can be written as piecewise function, with one part for the first hour, and another part for the time after the first hour.
F(x) = 4.9kg*x if 0h < x ≤ 1h
F(x) = 4.9kg + 7.8kg/h*(x -1) if x ≥ 1h
We use (x - 1) for the second part because if x = 1 h, we must have the same result in both parts of the function.
Where x is the number of hours.
And we know that the domain is (0hours, 8 hours)
Then the minimum value of y will be:
F(0h) = 4.9kg*0h = 0kg.
And the maximum value in the range will be:
F(8h) = 4.9kg + 7.8kg*7 = 59.5kg
Then the range is:
R = {0kg, 59.5kg}
Given that y is directly proportional tox, and when y = 8 when x=
10.
(a) Write down the equation of y in terms of x.
(b) Find the value of y when x = 25.
8
(c) Find the value of x when y==
25
Answer:
see explanation
Step-by-step explanation:
(a)
Given that y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 8 when x = 10. then
8 = 10k ( divide both sides by 10 )
0.8 = k
y = 0.8k ← equation of proportion
(b)
when x = 25, then
y = 0.8 × 25 = 20
(c)
when y = 25, then
25 = 0.8x ( divide both sides by 0.8 )
x = 31.25
Can someone help me?
Answer:
domain: (-∞, ∞); range: (-2, ∞)average rate of change on [1, 0] is 2.Step-by-step explanation:
The domain is the horizontal extent: (-∞, ∞).
The range is the vertical extent: (-2, ∞).
__
To find the average rate of change, we first must locate the points on the graph at the ends of the interval:
(0, -1), (1, 1)
The average rate of change is computed as ...
(f(0) -f(1))/(0 -1) = (-1 -1)/(-1) = 2
The average rate of change on the interval [1, 0] is 2.
_____
Comment on the problem statement
We usually expect to see an interval designated with the left end first. That is, the interval between 0 and 1 would normally be written as [0, 1].
I've attached the question in the picture below.
at a map scale of 1:1500, 12 centimeters on the map is equivalent to 1.8 kilometers on the ground.
step-by-step
since the scale is 1 to 15,000 you simply multiply it by the 12 cm
12cm × 15,000 = 180,000
but you still have to convert it to kilometers (the measurement on the ground).
to go from centimeters to kilometers move the decimal 5 place values to the left.
final answer
1.8 kilometers
What is the angle of rotation from figure D to figure D’? Assume that the center of rotation is the origin. A. 270° clockwise B. 90° clockwise C. 90° counterclockwise D. 180° counterclockwise
Answer:
the answer is B. 90°clockwise
Answer:
B. 90 Clockwise
Step-by-step explanation:
X^4+9 which pattern can we use to factor the expression?
Answer:
[tex]\left(x^2+3i\right)\left(x^2-3i\right)[/tex]
Step-by-step explanation:
[tex]x^4+9[/tex]
[tex]x^4+9[/tex] can be written as [tex]x^4--9[/tex].
Apply the formula for the difference of two squares.
[tex](a^2-b^2)=(a+b)(a-b)[/tex]
[tex]-9=3i^2[/tex]
[tex]x^4=(x^2)^2[/tex]
[tex](x^2)^2-(3i)^2=(x^2+3i)(x^2-3i)[/tex]
Answer:
(x^2 - 3i) ( x^2 +3i)
Step-by-step explanation:
X^4+9
x^4 - -9
This is the difference of squares (a^2 - b^2) = (a-b)(a+b)
(x^2) ^2 - ( 3i)^2
(x^2 - 3i) ( x^2 +3i)
Find the area of the following
trapezoid:
12 cm
10 cm
8 cm
22 cm
A = [?] cm2
Answer:
136 cm^2
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2) *h where b1 and b2 are the lengths of the bases and h is the height
A = 1/2 ( 12+22) *8
= 1/2 (34) * 8
= 136 cm^2
Answer:
144
Step-by-step explanation:
If y varies jointly as x and z and inversely as the square of w, and y =3 when x=3, z=10 and w=2, then y=4 when x=4 z=20 w=4
Answer:
0.4 ; 0.8
Step-by-step explanation:
Given that :
y varies jointly as x and z and inversely as the square of w
y ∝ xz ∝ 1/w^2
y = kxz/w^2 - - - - (1)
Given that y =3 when x=3, z=10, w=2
Inputting the values into (1)
3 = (k*3*10) / 2^2
3 = 30 × k / 4
k × 30 = 3 × 4
k × 30 = 12
k = 12/30
k = 0.4
B.) Given that ;
y=4 when x=4 z=20 w=4
Input values into (1)
y = kxz/w^2
4 = ( k * 4 * 20) / 4^2
4 = (k * 80) / 16
k * 80 = 16 * 4
k * 80 = 64
k = 64 / 80
k = 0.8
Answer:
False
Step-by-step explanation:
Took the test and got it wrong
Embarcación averiada. Dos patrullas de la Guardia Costera de Guatemala están separadas 225 millas y viajan una en dirección de la otra desde el Este y la otra desde el Oeste, en busca de una embarcación averiada. Debido a la corriente, la patrulla del este viaja millas por hora más rápido que la del oesteSi las dos se cruzan después de tres horas, calcule la velocidad promedio de cada una
1368p3558the 688inches
Step-by-step explanation:
javaowbmwoabm bonds bajan Baum bakka bank hank is the bwbhhsjnijgio he has 5th year in my jailer and hnksksmmnalk JBL 94inches to see 38inches
On a coordinate plane, triangle A has points (3, 3), (6, 3), (6, 9). Triangle A prime has points (negative 2, negative 1), (negative 2, negative 2), (negative 3, negative 2). Determine all the transformations needed to transform the pre-image, A, to the image, A'. Select all that apply. dilation by a scale factor of 1/2 dilation by a scale factor of 1/3 reflection over the x-axis translation to the left 4 units translation down 3 units
Answer:
A. dilation by a scale factor of 1/3
B. translation to the left 4 units
C. translation down 3 units
Step-by-step explanation:
On a coordinate plane,
triangle A has points (3, 3), (6, 3), (6, 9).
Triangle A prime has points (negative 2, negative 1), (negative 2, negative 2), (negative 3, negative 2).
Determine all the transformations needed to transform the pre-image, A, to the image, A'.
Select all that apply, given
A=(3,3),(6,3),(6,9)
A'=(-2,-1),(-2,-2),(-3,-2) possible typo, should read
A'=(-2,0),(-2,-2),(-3,-2)
dilation by a scale factor of 1/2
dilation by a scale factor of 1/3
reflection over the x-axis
translation to the left 4 units
translation down 3 units
If the typo correction is valid, then the transformatitons are:
A. dilation by a scale factor of 1/3
B. translation to the left 4 units
C. translation down 3 units
Answer:
its actually b d e
Step-by-step explanation:
Sue has a crate, open at the top, in the shape of a cuboid. The internal dimensions of the crate are 36cm long by 36cm wide by 60cm high. Sue has a stick of length 90cm. She places the stick in the crate so that the shortest possible length extends out above the top of the crate. A) Calculate the length of the stick that extends out of the crate. B) Calculate the angle the stick makes with the base of the crate.
Answer:
Step-by-step explanation:
When the stick is placed along the diagonal of the cuboid , shortest possible length will extend out above top of the crate .
Length of the diagonal
= [tex]\sqrt{36^2+36^2+60^2}[/tex]
= 78.69 cm
the length of the stick that extends out of the crate
= 90 - 78.69
= 11.31 cm
If θ be the angle made by stick with the base
cosθ = hypotenuse of base / diagonal of cuboid
=[tex]\frac{\sqrt{2}\times36 }{78.69}[/tex]
= [tex]\frac{50.90 }{78.69}[/tex]
θ = 50°
Answer: This is the answer to B) 47.9 degrees
Step-by-step explanation:
Pythagoras: a^2+b^2=c^2
36²+36²=C²
√2592=C
C=50.9cm
Used Trigonometry: SOH CAH TOA
Tan=Opposite/Adjacent
Tan=60/50.9
The angle stick makes when it meets the base:
Tan^-1(60/50.9)
=49.7˚
Find the times (to the nearest hundredth of a second) that the weight is halfway to its maximum negative position over the interval 0<_t<_0.5. Solve algebraically, and show your work and final answer in the response box. Hint: Use the amplitude to determine what y(t) must be when the weight is halfway to its maximum negative position. Graph the equation and explain how it confirms your solution(s).
Answer:
0.20 and 0.36
Step-by-step explanation:
y(t) = 2 sin (4π t) + 5 cos (4π t)
We wish to convert this to:
y = A sin(ωt + φ)
We know that ω = 4π. We also know the following:
5 = A sin φ
2 = A cos φ
Divide the first equation by the second equation:
5/2 = tan φ
φ = tan⁻¹(5/2)
Now, square the two equations and add them together.
5² + 2² = (A sin φ)² + (A cos φ)²
29 = A²
A = √29
The equation of the wave is therefore:
y = √29 sin(4π t + tan⁻¹(5/2))
The maximum negative position is -√29. And half of that is -½√29.
-½√29 = √29 sin(4π t + tan⁻¹(5/2))
-½ = sin(4π t + tan⁻¹(5/2))
7π/6 + 2kπ or 11π/6 + 2kπ = 4π t + tan⁻¹(5/2)
7 + 12k or 11 + 12k = 24t + 6 tan⁻¹(5/2) / π
t = (7 + 12k − 6 tan⁻¹(5/2) / π) / 24 or (11 + 12k − 6 tan⁻¹(5/2) / π) / 24
Trying different integer values of k, we find there are two possible values for t between 0 and 0.5, both when k = 0.
t = (7 − 6 tan⁻¹(5/2) / π) / 24 or (11 − 6 tan⁻¹(5/2) / π) / 24
t ≈ 0.20 or 0.36
If z is a standard normal variable, find the probability.
P(Z < 0.97)
0.1660
0.8340
0.8315
0.8078
Answer:
the correct option is A
Step-by-step explanation:
hope this helps
Using the standard normal distribution table, the probability of having a Zscore less than 0.97 would be 0.8340
To obtain the probability z P(Z < 0.97) ; we use a standard normal distribution table or a Z probability calculator ;
Using a normal distribution table :
P(Z < 0.97) = 0.8339Therefore, the most appropriate option is 0.8340
Learn more : https://brainly.com/question/23105648
If at the same rate of interest, in 2 years, the simple interest is Rs. 40 and compound interest is Rs. 41, then what is the principal
Answer:
Simple Interest for 1 year = 40/2 = 20
CI for 2 years = 20 + 20 + 1
The difference of Re 1 is due to the interest received on this interest.
Hence interest rate = 1/20 * 100 = 5
Interest for 1 year at 5% = 20
Hence principal = 20*100/5 = 400
Find the area of this triangle..
Answer:
39.936 ( not rounded )
Step-by-step explanation:
Use Pythagorean theorem
a^2 + 6.4^2 = 9^2
height = 6.24 (rounded to nearest hundredth)
1/2 * base * height = area
1/2 * 12.8 * 6.24
= 39.936 ( not rounded )
Find the interquartile range (IQR) of the data in the dot plot below. chocolate chips 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10. Number of chocolate chips. Chocolate chips in different cookies in a package
*The dot plot is shown in the attachment below
Answer:
2
Step-by-step explanation:
Interquartile range is the difference between the upper median (Q3) and the lower median (Q1).
First, let's write out each value given in the data. Each dot represents a data point.
We have:
2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7
=>Find the median:
Our median is the middle value. The middle value is the 6th value = 4
==>Upper median Q3) = the middle value of the set of data we have from the median to our far right.
2, 3, 3, 4, 4, |4,| 4, 5, [5], 6, 7
Our upper median = 5
==>Lower median(Q1) = the middle value of the data set we have from our median to our far left.
2, 3, [3], 4, 4, |4,| 4, 5, 5, 6, 7
Lower median = 3
==>Interquartile range = Q3 - Q1 = 5-3 = 2
Answer:
2
Step-by-step explanation:
Simplify : (-7/18 × 15/-7) - (1 × 1/4) + (1/2 × 1/4)
Answer:
17/24
Step-by-step explanation:
This expression simplifies to the following:
-7 15 1 1
---- * ----- - ----- + -----
18 -7 4 8
Reducing the product, we get
15 1
-------- - -----
18 8
and this simplifies further:
5 1
----- - -----
6 8
The LCD is 24. Thus, we have:
20 3 17
------ - ----- = -----
24 24 24
You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 90% confident that the sample percentage is within 5.5 percentage points of the true population percentage. Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. nequals nothing (Round up to the nearest integer.) b. Assume that a prior survey suggests that about 31% of air passengers prefer an aisle seat. nequals nothing
Answer:
A)n= 703.96
B)n= 602.308
Step by step Explanation:
Given that you want to be 99% confident that the sample percentage is within 3.1 percentage points of the true population percentage.
Then z/2 = 1.645
And M = 3.1% = 0.031
A)Nothing is known therefore,
p = q = 0.50
E=0.031
For 90% confidence, z = 1.645
n = (zα/₂)²(p)(1-p)/M²
n= 1.645²× 0.5 × 0.5/0.031²
n= 703.96
Therefore, 703.96randomly selected air passengers must be surveyed to be 99%
B)we know that recent surveys surgest that about 38% of all air passengers prefer an aisle seat, thus p = 35% = 0.35
n = (zα/₂)²(p)(1-p)/M²
n= (1.645²× 0.31 × 0.69)/0.031²
n= 602.308
Hence, 602.308 randomly selected air passengers must be surveyed to be 90% confident that the sample percentage is within 3.1 percentage points of the true population percentage.
find the perimiter of this shape
Answer:
The perimeter of the shape is (7x²+10x+81) inches.
Step-by-step explanation:
When finding the perimeter of a shape, you have to add up all the side lengths :
[tex]p = 31 + (4 {x}^{2} + 8x) + (3 {x}^{2} - 5x + 20) + (7x + 30)[/tex]
[tex]p = 31 + 4 {x}^{2} + 8x + 3 {x}^{2} - 5x + 20 + 7x + 30 [/tex]
[tex]p =( 7 {x}^{2} + 10x + 81) \: inches[/tex]
Can someone please help?
Answer:
288 km²
Step-by-step explanation:
are of one side is area of the triangle (10×9.4)/2 = 47
ground plane: 10×10 = 100
sum 4 sides and ground: 47+47+47+47+100
A landscaper designs a garden border to run along the inside perimeter of a piece of property that is shaped like a
rectangle.
The garden border that runs along the edge of the property has a width of x meters and surrounds the entire
property. The area inside of the garden border has a width of 39 meters and a length of 21 meters as shown by the
diagram.
The total area of the property, in square meters, is a function of the distance, x, in meters.
Enter the quadratic function, A(x), in standard form that represents the total area of the property in square meters.
If your answer includes exponents, use the symbol. For example, if your answer is 42, enter it like this: 4344
please help me
Answer:
A = 4x^2 + 120x
Step-by-step explanation:
(39+2x)(21+2x)-(39*21) = 819 + 78x + 42x + 4x^2 - 819
A = 4x^2 + 120x
Serena wants to wrap ribbon around the edge of the picture frame represented in the drawing. Which is the simplified form of the expression representing the length of ribbon Serena will need? A. 9x – 13.2 B. 4.5x – 6.6 C. 9x – 14.8 D. 2(3.5x – 7) + 2(x + 0.4)
Answer:
A.9x – 13.2
Step-by-step explanation:
2*(3.5x-7+x+0.4)=2*(4.5x-6.6)=9x-13.2
Answer:
It is A
Step-by-step explanation:
Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If Sophie and Simon work together to peel the potatoes, how long will it take them?
Answer:
18 minutes
Step-by-step explanation:
Sophie can peel all potatoes in 45 minutes, in 1 minute she can peel:
1/45 of all the potatoesSimon can peel all potatoes in 30 minutes, in 1 minute he can peel:
1/30 of all the potatoesTogether, in 1 minute they can peel:
1/45+1/30= 2/90+3/90= 5/90= 1/18 of all the potatoesTo peel all the potatoes they need:
1 ÷ 1/18= 1 × 18= 18 minutesSo it will take them 18 minutes to peel all the potatoes
Given: ∆KLM, KL ≅ LM A∈ KM , B ∈ KM AK ≅ BM Prove:△AKL ≅ △BML ΔALB is isosceles
Answer:
ΔAKL is congruent to ΔBML by the Side Angle Side rule of congruency and ΔALB is isosceles as two of its sides [tex]\overline {AL}[/tex] and [tex]\overline {BL}[/tex] are congruent
Step-by-step explanation:
The given parameters are;
The given triangle ΔKLM has sides [tex]\overline {KL}[/tex] ≅ [tex]\overline {LM}[/tex], Given
ΔKLM is isosceles Δ (two equal segments), Definition of isosceles Δ
∠LKM ≅ ∠LMK, Base ∠s of isosceles Δ are ≅
Point A is on segment [tex]\overline {KM}[/tex], Given
Point B is also on segment [tex]\overline {KM}[/tex], Given
Segment [tex]\overline {AK}[/tex] ≅ segment [tex]\overline {BM}[/tex], Given
ΔAKL ≅ ΔBML, SAS rule of congruency
Segment [tex]\overline {AL}[/tex] ≅ segment [tex]\overline {BL}[/tex], CPCTC
ΔALB is isosceles (two equal segments), Definition of isosceles Δ
Where:
SAS = Side Angle Side
CPCTC = Congruent parts of congruent triangles are congruent.
Answer:
m∠AKL=m∠BML | Base Angle Theorem (Base ∠ TH.)
Step-by-step explanation:
KL=LM | Given
A ∈ KM | Given
B ∈ KM | Given
AK=BM | Given
m∠AKL=m∠BML | Base ∠ TH.
Question 8 Multiple Choice Worth 1 points)
(02.05 LC)
Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
In the graph the line shifted down by 3 units, so k=3. Therefore, option B is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
From the given graph,
The coordinates of line red are (0, 5) and (3, 6)
Here, slope (m) = (6-5)/(3-0)
= 1/3
Substitute m=1/3 and (x, y)=(0, 5) in y=mx+c, we get
5=1/3 (0)+c
c=1/3
Now, g(x)=1/3 x
The coordinates of line blue are (0, 2) and (3, 4)
Here, slope (m) = (4-2)/(3-0)
= 2/3
Substitute m=2/3 and (x, y)=(0, 2) in y=mx+c, we get
2=2/3 (0)+c
c=0
So, f(x)=2/3 x
From the graph the line shifted down by 3 units
Therefore, option B is the correct answer.
To learn more about the function visit:
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Steve Fossett is approaching the shores of Australia on the first successful solo hot air balloon ride around the world. His balloon, the Bud LightTM Spirit of Freedom, is being escorted by a boat (directly below him) that is 108 meters away. The boat is 144 meters from the shore. How far is Fossett's balloon from the shore?
Answer:
180 meters
Step-by-step explanation:
Distance from the balloon to the boat = 108 meters
Distance from the boat to the shore = 144 meters
Since the boat is directly below the balloon, the problem forms a right triangle in which the distance from the balloon to shore is the hypotenuse.
Let the length of the hypotenuse = l
Using Pythagoras Theorem
[tex]l^2=108^2+144^2\\l^2=11664+20736\\l^2=32400\\l=\sqrt{32400} \\l=180$ meters[/tex]
The distance from Fossett's balloon to the shore is 180 meters.
Fossett's balloon is 180m from the shore
data;
escort boat to the ballon = 108mboat from the shore = 144mdistance between the ballon and the shore = xPythagoras TheoremTo solve this problem we can assume this is situation forms a right angle triangle and we can solve this using pythagoras theorem.
[tex]x^2 = y^2 + z^2\\[/tex]
Let's substitute the values and solve
[tex]x^2 = y^2 + z^2\\x^2 = 108^2 + 144^2\\x^2 = 32400\\x = \sqrt{32400} \\x = 180m[/tex]
Fossett's balloon is 180m from the shore
Learn more on pythagorean theorem here;
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1
Select the correct answer.
The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate area of the cross
section passing through the diagonals of opposite faces of this cube?
OA. 12 square centimeters
OB.
25 square centimeters
O C. 35 square centimeters
OD
49 square centimeters
Answer:35 square
Step-by-step explanation:
Can I please get some help? Thank you
Answer:
false...I don't think so it's a function.