Answer: 105 miles
(44-23)/0.20
Find the value of x
Answer:
x = 10
Step-by-step explanation:
since two of its given angles are equivalent we can conclude that the triangle is a an isosceles triangle and the side length that belong to those angles are also equal so x = 10
-3 (2x - 1) ≤ x - 18
Answer:
x ≥ 3
Step-by-step explanation:
- 3(2x - 1) ≤ x - 18 ← distribute parenthesis on left side
- 6x + 3 ≤ x - 18 ( subtract x from both sides )
- 7x + 3 ≤ - 18 ( subtract 3 from both sides )
- 7x ≤ - 21
divide both sides by - 7, reversing the symbol as a result of dividing by a negative quantity.
x ≥ 3
PLZ HELP FAST
A cruise ship is currently 15 kilometers away from its port and is traveling away from the port at 15
kilometers per hour. The function y = 15x + 15 relates the number of kilometers y the ship will be from
its port x hours from now. How far will the cruise ship be from its port 3 hours from now?
The cruise ship will be______ kilometers away from port in 3 hours.
Answer:
45
Step-by-step explanation:
Answer: 60 kilometers
Step-by-step explanation:
Plug in your hours:
y = 15(3) + 15
y = 45 + 15
y = 60 kilometers
Hope this helps!
I need help please anyone ?!!!!
Answer: She receives about $4 change
Step-by-step explanation: I know the answer leave brainliest
Can you help me in this question?
Answer:
the answer is third option B
hello anyone pls help me I'm so stuck I'm scared pls help me I promise I give many points and I'll give the brainliest:(
Answer:
2 or3 ,5,7,11 I suppose please correct if wrong
Answer:
It is basically a question of probability so
Probability = Number of event
Number of sample space
Number of sample space = 12
Since the event needed is a prime number so first list the numbers 1 to 12 which is (1,2,3,4,5,6,7,8,9,10,11,12) so the prime numbers there are (2,3,5,7,11) so therefore the number of event will be 5
THEREFORE:
p = \(\frac{5}{12}\)
Step-by-step explanation:
You have recently signed up for a new job and noticed this policy for retirement savings. Invest $200 and the employer does 70% matching for 35 years at an interest rate of 4.8%.
Find the total amount that the employer contributes each month.
What amount will you have after 35 years?
How much money have you deposited into the account yourself?
How much more money is in the account than what you have deposited?
Answer:
Amount per month contributed by employer $ = 200*0.70 = 140
Total amount employer contributes $ = 140*420 = 58800
Total amount employee contributes $ = 200*420 = 84000
Total amount after 35 years with interest calculated AT 4.8% (Employer + employee + interest) $ = 371024.67
Interest amount for 35 years accumulated $ = 228224.67
Amount deposited by employee $ = 84000
Excess amount in the account over the employee contribution
Including employer contribution $ = 287024.67
Excluding employer contribution $ = 228224.67
Step-by-step explanation:
LOOK AT THE PICTURE FOR STEPS
Please answer quickly!
Answer:
0/6 <--------------------------
What order is
5/6 feet long 5/3 feet long 3/2 feet long
The order of the given fractions will be 5/3>3/2>5/6.
What exactly is a fraction?
A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.
5/10, for example, is a fraction.
In this case, 5 is the numerator and 10 is the denominator.
Now,
Given fractions are 5/6 ,5/3, 3/2
lets make the denominator same
Divide and multiply fraction 2 and 3 by 2 and 3 respectively
then fractions are 5/6, 10/6, 9/6
so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6
hence,
The order of the given fractions will be 5/3>3/2>5/6.
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An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.9 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 160 engines and the mean pressure was 6.0 pounds/square inch. Assume the variance is known to be 0.36. A level of significance of 0.05 will be used. Determine the decision rule.
Answer:
Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance
There is a difference between the means
Step-by-step explanation:
Step(i):-
Given that mean of the Population = 5.9pounds/square inch
Given mean of the sample = 6.0pounds/square inch
Given that variance of the Population = 0.36
The standard deviation of the Population = √0.36 =0.6
critical value (Z₀.₀₅)= 1.96
Step(ii):-
Null Hypothesis:H₀: x⁻ = μ
Alternative Hypothesis:H₁: x⁻ ≠ μ
Test statistic
\(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)
\(Z = \frac{6.0-5.9 }{\frac{0.6}{\sqrt{160} } }\)
Z = 2.1097
Final answer:-
Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance
The null hypothesis is rejected
There is a difference between the means
A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (6, 4) and (5, 2), what is the equation for a parallel street that passes through (−2, 6)?
a. y equals negative one-half times x plus 5
b. y equals negative one-half times x plus 1
c. y = 2x + 10
d. y = 2x − 14
PLEASE HELP
Answer: B is the correct answer
Step-by-step explanation:hope it helps, brainliest? i could really use it
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x minus 25 = 72 18 x minus 9 = 72 3 (6 x minus 3) = 72 x = 4.5
Answer:
18x - 9 = 72
3(6x - 3) = 72
x = 4.5
Step-by-step explanation:
Given equation:
\(\dfrac{3}{5}\left(30x-15\right)=72\)
Separate the fraction:
\(\implies 3 \cdot \dfrac{1}{5}\left(30x-15\right)=72\)
Multiply the terms inside the parentheses by 1/5:
\(\implies 3\left(\dfrac{1}{5}\cdot30x-\dfrac{1}{5}\cdot 15\right)=72\)
\(\implies 3\left(6x-3\right)=72\)
Expand the brackets:
\(\implies 3\cdot6x-3\cdot3=72\)
\(\implies 18x-9=72\)
Add 9 to both sides of the equation:
\(\implies 18x-9+9=72+9\)
\(\implies 18x=81\)
Divide both sides pf the equation by 18:
\(\implies \dfrac{18x}{18}=\dfrac{81}{18}\)
\(\implies x = 4.5\)
Therefore, the three equations that have the same value as the given equation are:
18x - 9 = 723(6x - 3) = 72x = 4.5Please awnser asap I will brainlist
They can buy 120 vans, 60 small trucks, and 80 large trucks.
How to find the number of van, small trucks and large truck needed?The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck
Therefore,
let
s = number of small truck
number of van = v
let
l = number of large truck
v + s + l = 260
25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000
v + 2s + 2l = 400
Hence,
v = 2s
So,
2s + 2s + 2l = 400
4s + 2l = 400
2s + s + l = 260
3s + l = 260
2s + l = 200
s = 60
l = 200 - 2(60)
l = 200 - 120
l = 80
v = 2(600 = 120
Therefore, they can buy the following:
number of small truck = 60
number of van = 120
number of large truck = 80
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What is this solve for points
Answer:
(5,0)
Step-by-step explanation:
The x-intercept is where y=0.
A cone with radius 12 inches and height 9 inches is shown. Enter the volume of the cone, in cubic inches. Round your answer to the nearest hundredth.
EXPLANATION:
Given;
We are given a cone with the following dimensions;
\(\begin{gathered} radius=12in \\ height=9in \end{gathered}\)Required;
We are required to calculate the volume of the cone.
Step-by-step solution;
To calculate the volume of a cone, we use the following formula;
\(\begin{gathered} Volume\text{ }of\text{ }a\text{ }cone: \\ Volume=\pi r^2\frac{h}{3} \end{gathered}\)With the values provided, we can substitute and calculate as follows;
\(Volume=3.14\times12^2\times\frac{9}{3}\)\(Volume=3.14\times144\times3\)\(Volume=1356.48\)Rounded to the nearest hundredth, the volume is;
ANSWER:
\(Vol=1356.48in^3\)HELP ME. I HATE MATH DUDE.
Type < or > to make this statement true -a___-b
The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 19. 17 < 23 20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)
To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.
To indicate that the first value is less than the second value, write <.
Alternatively, to indicate that the first value is greater than the second value, write >.
Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36
To determine the direction of inequality, we need to compare the values.
We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.
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The correct question would be as
Write > or < to make each statement true.
11. -5 0
12. 9 -8
13. -7 7
14. 55 -75
15. -32 -24
16. 89 73
17. -58 -51
18. -32 4
19. 17 23
20. 18 -36
figure 2-18 shows four paths along which objects move from a starting point to a final point, all in the same time interval. the paths pass over a grid of equally spaced straight lines
The ranking based on average speed is 1 > 2 > 4 > 3
(a) Based on the given information, we have:
V1 = V2: The objects on paths 1 and 2 have the same average velocity.
V3 < V4: The object on path 4 has a greater average velocity than the object on path 3.
(b) Average speed is simply the distance traveled divided by the time interval. If the objects move at a constant speed along each path, then the paths with the greatest distances will have the greatest average speeds. Therefore, the ranking based on average speed is:
1 > 2 > 4 > 3
Note that this ranking is based only on the distances traveled along each path, and does not take into account the directions of motion or any changes in direction.
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Find the perioa
equation.
llowing
y = 2 cos(5x + 3) - 6
77
Period = [2]T
Give your answer in simplest form.
Answer:
In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.
The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.
The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.
So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:
T = 2π / 5
This is the simplest form for the period of the given function.
Logic question.
Promise the Brainliest if you provide the answer with a solid explaining.
Thanks :)
...What is, -7=z/2+1
Answer:
z=-16
Step-by-step explanation:
-7 = (z/2) + 1 Original equation
-7-1 = (z/2) Combining like terms
-8 = z/2 Simplification
-8 × 2 = (z/2) × 2 Isolating the variable
-16 = z The answer
Check your answer
-7 = (-16/2) + 1 Substitution
-7= -8 + 1 Simplify
-7 = -7 Your answer is right
Hope this helped!!!
8 Annexure A RESEARCH TOOL: CAMPAIGN(S) IN THE COMMUNITY Name of a campaign: Position of the interviewee(s) at the Centre: ** Respond to the following questions/statements by placing a tick (✓) where appropriate and also by filling in the spaces below. 1. Does the Campaign pursue it's aims? YES/NO Elaborate
In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.
The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.
What is a questionnaire?A questionnaire is a research tool used to collect data by presenting a series of questions to respondents,typically in a written format.
Questionnaires are an important research tool as they allow researchers to gather large amounts of data from a large number of participants in a standardized and efficient manner.
They provide a structured approach to collecting information,allowing for easy analysis and comparison of responses.
Questionnaires can be used in various research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.
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Max has 2 red tiles, 3 blue tiles, 4 yellow
tiles, and 8 green tiles. How many
different rectangular arrays of each color
can Max make? Explain how you know
you found all the arrays. Solve this
problem any way you choose.
The arrays found here are as follows; red: 1 blue 2 yellow 7. green. 16
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
We are given that Max has 2 red tiles, 3 blue tiles, 4 yellow
tiles, and 8 green tiles.
We can see that 4 and 9 could be 1 array. 2 and 18 can be another array. 3 and 12 could be another one. 6 and 6 could be another array. Lastly, 1 and 36 could be an array.
There should be a total of 5 arrays. If we include the 1 and 36 array, then it's 5, I'd you don't include it, then it's 4 arrays.
Hence, there are red: 1 blue 2 yellow 7. green. 16
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A school is arranging a field trip to the zoo. The school spends 778.88 dollars on passes for 28 students and 4 teachers. The school also spends 241.64 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
The total money spent on a pass and lunch for each student is $850.14.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
here,
As mentioned in the question, Passes for 28 pupils and 4 teachers cost the school $778.88 and the school also spends $241.64 on lunch for kids only.
Total number of person = 28 + 4
= 32
Cost per pass = 778.88 / 32
= $24.34
Total passes of students = 25 × 24.34 = 608.5
Total spend on lunch of student = 241.64
Total spend on lunch = 241.64 + 608.5 = $850.14
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The sine of an angle in the third quadrant is -0.5. What is the value of
tan(0)?
Answer:
-0.5. is 5
Step-by-step explanation:
i need the poits
In the diagram below of circle O, chords AD and BC intersect at E, and chords AB and CD are drawn.
Which statement must always be true?
PLEASE HELP!
The correct answer is (C) \(\angle B \cong \angle C.\) when In the diagram below of circle O, chords AD and BC intersect at E.
What is a circle ?
A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.
In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.
Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:
\(\angle A + \angle C = 180^\circ\)
Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,
\(\angle B + \angle C = 180^\circ\)
We can rewrite the second equation as:
\(\angle C = 180^\circ - \angle B\)
Substituting this value of \angle C into the first equation, we get:
\(\angle A + 180^\circ - \angle B = 180^\circ\)
Simplifying, we get:
\(\angle A = \angle B\)
Therefore, the correct answer is (C) \(\angle B \cong \angle C.\)
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If
m
�
�
⌢
=
5
4
∘
m
GT
⌢
=54
∘
and
m
�
�
⌢
=
16
0
∘
m
YC
⌢
=160
∘
, find
m
∠
�
m∠W.
Answer:
∠ W = 53°
Step-by-step explanation:
the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is
∠ W = \(\frac{1}{2}\) (YC - GT) = \(\frac{1}{2}\) (160 - 54)° = \(\frac{1}{2}\) × 106° = 53°
They are attached below.
14)The sum of the tangent and the sine of the angle is obtained as 1.21.
15)The area of the segment is 95.6 m^2 while the perimeter of the segment is 11.047 m.
16)The angle opposite the largest side is 130°.
What is the trigonometric ratios?The trigonometric ratios are the ratios that are designated as cos, tan and sine. It is important to note that the trigonometric ratios are particular to the right angled triangle. The meaning of the right angle triangle is that one of the angles in the triangle is about 90 degrees.
14)) We can find the hypotenuse by the use of the Pythagoras theorem that is used to find the parts of the right angle triangle.;
a = √2^2 + 3^2
a = √ 4 + 9
a = 3.6
We know that;
tan θ = 2/3 = 0.66
sin θ = 2/3.6 = 0.55
Then;
tan θ + sin θ
0.66 + 0.55
= 1.21
We can see by the use of the trigonometric ratios that we would obtain the sum of the sine and the tangent as 1.21.
15)
The area of the segment is obtained as;
Area of the triangle;
1/2r^2 sinθ
r= radius of the circle
θ = angle of inclination
1/2 * (10)^2 * sin 60
= 43.3
Area of the sector;
60/360 * 3.142 * (10)^2
= 52.3
Therefore the area of the triangle is;
43.3 + 52.3 = 95.6 m
b)The perimeter of the segment;
(2πr * θ/360) + 2rsin(θ/2)
(2 * 3.142 * 60/360) + (2 * 10 * sin (60/2))
1.047 + 10
= 11.047 m
16)
Using;
c^2 = a^2 + b^2 - 2abcos C
20^2 = 13^2 + 9^2 - 2(13 * 9) cos C
400 = 250 - 234cosC
400 - 250 = - 234cosC
150 = - 234cosC
Cos C = -(150/234)
C = Cos-1-(150/234)
C = 130°
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This equation shows the relationship between the amount of water (w), in liters, filled in Tank A and the number of minutes (m) it took to fill it.
w = 100 + 80.5m
This table shows the relationship between the amount of water, in liters, filled in Tank B and the number of minutes it took to fill the tank
Amount of water filled in Tank B:
Minutes: Amount of water: (liters)
0 154
2 384
6 844
What is the difference, in liters, between the total amount of water filled in Tank A and Tank B after 4 minutes?
Answer:
192 liters
Step-by-step explanation:
Tank A
w = 100 + 80.5m
where:
w = water in litersm = time in minutesTherefore, when m = 4:
⇒ w = 100 + 80.5(4) = 422 liters
Tank B
Given ordered pairs: (0, 154) (2, 384) (6, 844)
\(\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{384-154}{2-0}=115\)
Point-slope form of linear equation: \(\sf y-y_1=m(x-x_1)\)
(where m is the slope and (x₁, y₁) is a point on the line)
\(\sf \implies y-154=115(x-0)\)
\(\sf \implies y=115x+154\)
Therefore, the equation for Tank B is:
w = 115m + 154
Therefore, when m = 4:
⇒ w = 115(4) + 154 = 614 liters
Difference
614 - 422 = 192 liters
Find equation for tank B
(0,154)(2,384)Slope:-
m=384-154/2=230/2=115Equation in point slope form
w-154=115(m)w=115m+154For tank B
w=100+80.5mPut 4on both
Tank A:-
w=100+80.5(4)w=100+322w=422LTankB
w=115(4)+154w=460+154w=614LDifference:-
614-422192LWhich are correct representations of the inequality -3(2x - 5) < 5(2-x)? Select two options.
x < 5
-6x-5 < 10- x
0-6x + 15 < 10 -5x
-3
-2 -1
0
2
3
3
4
5
02
7
-7
-6
-5
-4
-3
-2
--1
0
ON
3
Answer:
-6x +15 < 10 -5xthe graph of 5 < xStep-by-step explanation:
Expanding the given inequality, you get ...
-6x +15 < 10 -5x
Adding 6x-10, you get
5 < x
which has the graph shown below.