In ΔGHI, g = 240 cm, m m∠H=157° and m m∠I=17°. Find the length of h, to the nearest 10th of a centimeter.
Check the picture below.
\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{h}{\sin(157^o)}=\cfrac{240}{\sin(6^o)}\implies h\sin(6^o)=240\sin(157^o) \\\\\\ h=\cfrac{240\sin(157^o)}{\sin(6^o)}\implies h\approx 897.1~cm\)
Make sure your calculator is in Degree mode.
Find the volume of the cylinder. Round your answer to the nearest tenth
3 m
5 m
Answer:141.4
Step-by-step explanation:
I NEED URGENT HELP BY 9:20 AM today!
Answer choices;
A. A line reflection over y=x
B. A rotation of 180 centered at 1,0
C. A line reflection over the x axis followed by a translation of 6 units right,
D. A line reflection over the x axis followed by a line reflection over y=1
Answer:
Choice D
Step-by-step explanation:
Reflection over the x axis and then a line reflection over y=1 will give you the second desired triangle.
) Quantifier negation.
Form the negation of the following statements. Then apply De Morgan’s law and/or conditional law, when
applicable. Negation should appear only within predicates, i.e., no negation should be outside a quantifier
or an expression involving logical connectives. Show all steps.
a) ∀x (P(x) ∧ R(x))
b) ∀y∃z(¬P(y) → Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
The negations of the given statements with the application of De Morgan's law and/or conditional law.
a) ∃x (¬P(x) ∨ ¬R(x))
De Morgan's law:
∃y ∀z(¬P(y) ∧ ¬Q(z))
b) ∃y ∀z(¬P(y) ∧ ¬Q(z))
The double negation:
∃y ¬∃z(P(y) ∨ Q(z))
c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))
The conditional law:
¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))
Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:
a) ∀x (P(x) ∧ R(x))
The negation of this statement is:
∃x ¬(P(x) ∧ R(x))
Now let's apply De Morgan's law:
∃x (¬P(x) ∨ ¬R(x))
b) ∀y∃z(¬P(y) → Q(z))
The negation of this statement is:
∃y ¬∃z(¬P(y) → Q(z))
Using the conditional law, we can rewrite the negation as:
∃y ¬∃z(¬¬P(y) ∨ Q(z))
c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
The negation of this statement is:
¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))
Using the conditional law, we can rewrite the negation as:
¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))
Applying De Morgan's law:
¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))
Simplifying the double negation:
¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))
Using De Morgan's law again:
¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))
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identify which equations have one solution, infinitely many solutions, or no solution 3u+40+2u=6u-30-u
Answer:
I did the math there is no answer
K
Each of the following three data sets represents the IQ scores of a random sample of adults. IQ
scores are known to have a mean and median of 100
105
105
111
105
111
102
106
91
99
99
109
99
109
111
115
112
Sample of Size 5
91
91
111
Sample of Size 12
888888 888
100
110
97
104
Sample of Size 30
91
111
113
113
108
113
108
91
118
110
Full data set o
101
109
101
109
91
97
95
CELES
m
For each data set, compute the mean and median
What is the mean of the sample of size 5?
(Type an integer or decimal rounded to one decimal place as needed
A 1.5 standard deviations above the mean IQ score is 122.5.
How do equations work?An expression that depicts the relationship between two or more numbers and variables is called an equation.
A dependent variable is one that depends on another variable, whereas an independent variable does not depend on any other variable for its value.
Giving the z score are:
z is calculated as (raw score - mean) / standard deviation.
with a standard deviation of 15 and a mean of 100. The z-score of 1.5 is equal to the IQ score that is 1.5 standard deviations above the mean, so:
1.5 = (x - 100)/15
x = 122.5
A 1.5 standard deviations above the mean IQ score is 122.5.
The Complete Question is IQ score.
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A shaft 70.0 mm in diameter is being pushed at a speed of 400 mm/s through a bearing sleeve 70.2 mm in diameter and 250 mm long. The clearance which is assumed uniform is filled with oil of kinematic viscosity is 0.005 m2/s and specific gravity 0.9. Find the force exerted by the oil on the shaft.
Tthe force exerted by the oil on the shaft is 2.5 μN.
Given data:Diameter of the shaft (d₁) = 70 mmDiameter of bearing sleeve (d₂) = 70.2 mmLength of bearing sleeve (L) = 250 mmClearance (c) = (d₂ - d₁)/2 = (70.2 - 70)/2 = 0.1 mm = 0.1 × 10⁻³ mSpeed of the shaft (v) = 400 mm/sKinematic viscosity of oil (ν) = 0.005 m²/sSpecific gravity of oil (SG) = 0.9Force exerted by the oil on the shaft'
We know that:Reynold's number (Re) = ρv(d₁ + d₂)/2νWhere, ρ = density of oil = SG × 10³ kg/m³Now,Re = ρv(d₁ + d₂)/2ν= (0.9 × 10³ kg/m³) × (400 × 10⁻³ m/s) × (70 + 70.2)/2 × (1/0.005)≈ 50404.8(As Re > 2000, laminar flow is present)Coefficient of Viscosity (C) = 3/4μ(c/d₁ + d₂)
Where, μ = absolute viscosity of oil= ρν= (0.9 × 10³ kg/m³) × (0.005 m²/s)= 4.5 kg/m.sC = 3/4μ(c/d₁ + d₂)= 3/4 × (4.5 kg/m.s) × (0.1 × 10⁻³ m)/(70 + 70.2) × 10⁻³ m= 5.4 × 10⁻⁹ N.s²/m²Force (F) = C × (L/d₁)= 5.4 × 10⁻⁹ N.s²/m² × (250/70) × 10⁻³= 2.5 × 10⁻⁶ N ≈ 2.5 μN.
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On Monday, one share of a certain stock costs $41.45. On Tuesday, the cost goes up by $0.58. It goes down by $0.26 on both Wednesday and Thursday. On Friday, it goes down by $0.06. Write an expression to represent the cost of one share of the stock on Friday. Then evaluate the expression to find the cost on Friday.
Answer:
The cost of one share of the stock on Friday is $41.45
Step-by-step explanation:
The initial cost of one share of the stock on Monday is $41.45.
On Tuesday, the cost goes up by $0.58, so the cost becomes:
$41.45 + $0.58 = $42.03
On Wednesday, the cost goes down by $0.26, so the cost becomes:
$42.03 - $0.26 = $41.77
On Thursday, the cost also goes down by $0.26, so the cost becomes:
$41.77 - $0.26 = $41.51
Finally, on Friday, the cost goes down by $0.06.
So the expression to represent the cost of one share of the stock on Friday is:
$41.51 - $0.06
To evaluate this expression, we simply subtract $0.06 from $41.51:
$41.51 - $0.06 = $41.45
Therefore, the cost of one share of the stock on Friday is $41.45
Jason has a box that is 10 inches by 6 inches by 16 inches. He has an object that is 20 inches long. Will it fit in his box? Why or why not?
Answer:
no
Step-by-step explanation:
because the length,width,or height have to be 20 inches or longer for Jason's object to fit
Which of the following represents the situation?
Answer:
C
Step-by-step explanation:
4 souffles+10 meringue pies=38 eggs
and 6 meringue pies+8 souffles=34 eggs
Which represents a measure of volume?
O 5 cm
O 5 square cm
05 cm
05 cm
Answer:
a) 5\(cm^{3}\)
Step-by-step explanation:
Bodies have three dimensions (width, height and depth). Measuring volume is calculating the number of cubic units that can fit inside.
When raising to 3, these dimensions are included and therefore 5\(cm^{3}\) is a measure of volume.
Answer:
5cm^3
Step-by-step explanation:
Volume for a form will always be in cubic units.
Area of a shape will always be in squared units.
Length will not be in cubic or squared units.
Hence, the first option is a measure for volume.
The second option is equal to 5cm^2 which represents a measure for area, as does the fourth option.
The third option represents a measurement of length, for example the length of a line segment or the height of a figure.
Examine the rotation. Which best describes point D?
use the ressult of the simulation to explain why you think the smaple orvoideso r does not provide evidence that the standard deviation of the uice dispened exceeds .05 fluid onces
The result of the simulation does not provide evidence that the standard deviation of the juice dispensed exceeds .05 fluid ounces because the simulation does not indicate any instances where the standard deviation of the juice dispensed was greater than .05 fluid ounces. This indicates that the variability of the juice dispensed was within the acceptable sum range of .05 fluid ounces or less.
The simulation did not indicate any instances where the standard deviation of the juice dispensed was greater than .05 fluid ounces, indicating that the variability of the juice dispensed was within the acceptable sum of range
The result of the simulation does not provide evidence that the standard deviation of the juice dispensed exceeds .05 fluid ounces because the simulation does not indicate any instances where the standard deviation of the juice dispensed was greater than .05 fluid ounces. This indicates that the variability of the juice dispensed was within the acceptable range of .05 fluid ounces or less.
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Does anyone have the answer key PDF for Plato (Edmentum) Precalculus A End of Semester Test??
Answer:
Step-by-step explanation:
No but if you copy and paste the question to me i can get you the answers :)
Answer:
I do.
Step-by-step explanation:
Let me know if this works!:)
A sphere has a radius of 7/2 feet. What is the volume of the sphere in cubic feet in terms of pi?
Answer:
57.15π ft³
Step-by-step explanation:
Volume of a Sphere
4/3πr³Here, radius (r) = 7/2 ft.
Solving
V = 4/3 x π x 7/2 x 7/2 x 7/2V = 4/3 x 343/8 x πV = 343/6 x πV = 57.15π ft³Can someone help me and explain it please thank you so much I appreciate it!!!!!
Answer:
12 10 dollar bills.
Step-by-step explanation:
you need 12 10 dollar bills bc i added 3 50 dollar bills (150), 18 20 dollar bills (360), which was 510. after i got 510, i figured out how much was needed left, so i subtracted 630 minus 510 which was 120. in the end i knew 10x12 was 120 so you need twelve 10 dollar bills.
\(8x - 4 - 5x \leq 21+5\)
Answer:
x ≤ 10
Step-by-step explanation:
ASAP PLEASEE
Which ordered pair represents the point labeled H?
The x-axis starts at negative 2, with tick marks every one-fourth unit up to positive 2. The y-axis starts at negative 2, with tick marks every one-fourth unit up to positive 2. The point G is to the left one and one-fourth units and down one-half unit from the origin. The point H is to the left one-half unit and up one and one-fourth units from the origin. The point I is to the right three-fourths unit and up three-fourths unit from the origin. The point J is down one and one-fourth units from the origin.
negative one and one-fourth, negative one-half
negative one-half, one and one-fourth
three-fourths, three-fourths
0, negative one and one-fourth
The answer of the given question , the ordered pair represents the point labeled H is (-1/2, 5/4).
What is Graph?A graph is visual representation of data, which typically displays relationship between two or more variable. Graphs are commonly used to present complex information and an easy-to-understand manner. They allow us quickly and easily identify patterns, trends, and relationships in data that might not be able to apparent from simply looking at raw numbers.
The origin is at (0,0), and point H is located to the left one-half unit and up one and one-fourth units from the origin.
Since the x-axis starts at negative 2, with tick marks every one-fourth unit up to positive 2, we can count the units from the origin to the left to find the x-coordinate of point H.
Starting from 0 and moving left by 1/4 unit 2 times, we get -1/2. Therefore, the x-coordinate of point H is -1/2.
Similarly, since the y-axis starts at negative 2, with tick marks every one-fourth unit up to positive 2, we can count the units from the origin upwards to find the y-coordinate of point H.
Starting from 0 and moving up by 1/4 unit 5 times, we get 5/4. Therefore, the y-coordinate of point H is 5/4.
Hence, the ordered pair that represents the point labeled H is (-1/2, 5/4).
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Answer:
b
Step-by-step explanation:
b
Which function represents the inverse of function f?
= 3x + 5
O A. T (2)
O B.
O c.
O D.
=-3x - 5
x+ //
– ž
g(x) =
p(x) =
8(x) = 3z +5
x
The inverse function of f(x) = 3x + 5 is given as follows:
C. p(x) = 1/3x - 5/3.
How to obtain the inverse function?The function in the context of this problem is defined as follows:
f(x) = 3x + 5.
To obtain the inverse function, first we must exchange the variables x and y, hence:
y = 3x + 5
x = 3y + 5.
Now we must isolate the variable y, hence:
3y = x - 5
y = (x - 5)/3.
p(x) = 1/3x - 5/3.
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evaluate f(-x)=x/x2+1
To evaluate f(-x) when f(x) = x/(x^2 + 1), we need to substitute -x for x in the function.
So f(-x) = (-x)/((-x)^2 + 1)
Simplifying the denominator we get:
f(-x) = (-x)/(x^2 + 1)
The function f(-x) is equivalent to the function f(x) with the x-value negated. The value of the function f(-x) is the same as the value of the function f(x) but with the x-value negated.
It's important to note that we can also express this as f(-x) = -f(x)
So the value of f(-x) is x/(x^2 + 1) with the x-value negated.
An exam worth 318 points contains 69 questions Some questions are worth 8 points, and the others are worth 2
points How many 8 point and 2-point questions are on the test?
Answer:
There were 30 8-points questions and 39 2-points question.
Process :-
Let the number of 8 points questions be x and 2 points questions be y.
Now,
8x+2y =318
x+y = 69
(according to the question)
x+y=69
x=69-y
plug in the value of x in the next equation 8x+2y=318,
8x+2y=318
or, 8(69-y)+2y=318
or, 552-8y+2y=318
or, -6y=318-552
or, -6y = -234
so, y = -234/-6
so, y = 39
Again,
x+y=69
or, x+y = 69
or, x+39 = 69
so, x = 30
plzzzzzzzzzzzzzzzzzz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
y= 1/2x
Step-by-step explanation:
math :/
Answer:
A (first one)
Step-by-step explanation:
if 10 is y and 20 is x...
that means 10 is 1/2 of 20, because 20 ÷ 2 = 10
Hansel's age is one less than three times Gretel's age. The sum of their ages is 43.
Answer: Hansel is 32
Step-by-step explanation: 11x3-1=32, 32+11=43
7(a – b) pls whats the answer
Answer:
7a-7b
Step-by-step explanation:
we distribute the 7 by multiplying it to each term
7(a)-7(b)
7a-7b
Hopes this helps please mark brainliest
Answer:
7a - 7b
Step-by-step explanation:
Given expression,
→ 7(a - b)
Let's simplify the expression,
→ 7(a - b)
→ (7 × a) - (7 × b)
→ 7a - 7b
Hence, the answer is 7a - 7b.
Liam has this spinner.
red
green
blue
yellow
red
green
blue
red
Liam will spin the pointer one time.
What is the probability that the pointer will land on red?
2.704 times 1000=???
Answer:
2.704 times 1000
2.704*1000
(in multiplication the decimal place goes right side to the digit)
So in =2.704,*1000
=2704
If you are helped with my answer pls tag me brianliest I really want it... Plzz
THANK You....
Find the shortest distance from Starting vertex A to F on the network below
In order to achieve the shortest distance from starting vertex (A) to F on a network, utilize Dijkstra's algorithm following these steps:
What are the steps?Initiate every vertex with a tentative distance value: assign zero to the starting point and infinity to other vertices.
Establish the initiating vertex as the current vertex.
Analyze all neighboring vertices of the current vertex and determine their respective tentative path length via current vertex. Proceed to compare it with its already assigned value; upgrade such distance if shorter than before.
Subsequent to analyzing adjacent points of the present node, designate it as 'visited'. Futuristic reference will disregard this chosen and visited vertex altogether.
Examine unexplored vertices marked as having the most reduced tentative distances, declare them 'current' while formulating new calculations for other contenders until pertinent conclusion is reached.
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The measure of dispersion that measures how much the data differ from the mean is called the.
The measure of dispersion that measures how much the data differ from the mean is called the standard deviation.
What is standard deviation?Standard deviation is a statistical measure of dispersion as opposed to the measure of central tendency like mean, median and mode.
The standard deviation is a measure of how spread out data values are around the mean.
It is defined as the square root of the variance and represented with the Greek letter σ.
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Paxton invests $4850 at 7.6%/a simple interest. If she wants the money to increase to $8000, how long will she need to invest her money?
Therefore, Paxton will need to invest her money for approximately 21.62 years to increase her investment from $4850 to $8000 at a simple interest rate of 7.6% per year.
To determine how long Paxton needs to invest her money in order for it to increase to $8000, we can use the formula for simple interest:
I = P * r * t
Where:
I = Interest earned
P = Principal (initial investment)
r = Interest rate per year (expressed as a decimal)
t = Time (in years)
Given that Paxton invests $4850 at an interest rate of 7.6% per year, we have:
4850 * 0.076 * t = 8000
Simplifying the equation:
369.8t = 8000
To find t, we divide both sides of the equation by 369.8:
t ≈ 8000 / 369.8 ≈ 21.62 years
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1. What would the slope of a line that is parallel to the line in the graph be?
(4,3)
X
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the line above, since a parallel line will have the same slope anyway
\((\stackrel{x_1}{4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{4}}} \implies \cfrac{ -4 }{ -3 } \implies {\Large \begin{array}{llll} \cfrac{ 4 }{ 3 } \end{array}}\)