Answer:
x=5 over 2 (it's a fraction)
Step-by-step explanation:
STEP 1 distribute : 4-1 (2x+4)=5
4-2x-4=5
STEP 2 subtract: 4-2x-4=5
-2x=5
STEP 3 divide both sides of the equation by the same term:
-2x=5
-2x 5
----- ------
-2 -2
STEP 4 simplify:
cancel the terms that are both the numerator and denominator
divide the numbers
x= - 5 over 2 (fraction)
I hope this helps
The Minnesota Multiphase Personality Inventory (MMPI) is one of the most frequently used personality tests in psychology. The current standardized version, the MMPI-2, is used by trained professionals to assist in identifying personality structure and psychopathology. A forensic psychologist is interested in whether she can identify potential serial killers by their NMPI profiles. She is particularly interested in the Overcontrolled-Hostility and Defensiveness scales of the MMPI. She interviews 12 people who have already been identified as serial killers. Their scores on the Overcontrolled-Hostility scale are recorded here: Which of the following is a Possible value for the range?
a. 54
b. 22
c. 66
d. 79
Their scores on the Defensiveness scale are given here: Which of the following is a possible value for the range?
a. 33
b. 70
c. 53
d. 62
Answer:
1) A. 54
2) D. 62
Step-by-step explanation:
Find the complete question in the attached diagram.
Range is the difference between the highest score and the lowest score.
Given the following scores on the Overcontrolled-Hostility scale.
69, 84, 56, 89, 47, 63, 86, 58, 74, 35, 71, 60
From the data:
Highest score = 89
Lowest score = 35
Range = Highest score - Lowest score
Range = 89-35
Range = 54
Hence the possible value of the range is 54
For the scores on the Defensiveness scale given as:
38, 70, 35, 42, 26, 87, 74, 61, 69, 46, 63, 25
Highest score = 87
Lowest score = 25
Range = Highest score - Lowest score
Range = 87-25
Range = 62
Hence the possible value of the range is 62
Cargo ships arrive at a loading dock at a rate of 2 per day. The dock has the capability of handling 3 arrivals per day. How many days per month (assume 30 days in a month) would you expect the dock being unable to handle all arriving ships
Answer: 4 days
Step-by-step explanation:
Kindly check attached picture for detailed explanation
An airplane is flying at a speed of 500 mi/h at an altitude of one mile. The plane passes directly above a radar station at time t = 0.
(a) Express the distance s (in miles) between the plane and the radar station as a function of the horizontal distance d (in miles) that the plane has flown.
s(d) =
(b) Express d as a function of the time t (in hours) that the plane has flown.
d(t) =
(c) Use composition to express s as a function of t.
s(t) =
Answer:
a)[tex]s=\sqrt{1+d^2}[/tex]
b)d(t)=500t
c)[tex]s(t) =\sqrt{1+250000t^2}[/tex]
Step-by-step explanation:
d = Horizontal distance
s = the distance between the plane and the radar station
The horizontal distance (d), the one mile altitude, and s form a right triangle.
So, use Pythagoras theorem
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]s^2=1^2+d^2[/tex]
a) [tex]s=\sqrt{1+d^2}[/tex]
(b) Express d as a function of the time t (in hours) that the plane has flown.
[tex]distance = speed \times time[/tex]
d(t)=500t
(c) Use composition to express s as a function of t.
[tex]s(t) =\sqrt{1+d^2}[/tex]
using b
[tex]s(t) =\sqrt{1+(500t)^2}\\s(t) =\sqrt{1+250000t^2}[/tex]
Solve 4x- c= k for x.
K + c
A. X =
*=***
B. x = 4(k-c)
C. x = 4(k+ c)
К-с
D. x.
Answer:
Step-by-step explanation:
Let's begin the solution by isolating the 4x term:
4x- c= k => 4x = c + k
Now divide both sides by 4:
c + k
x = --------------
4
This does not match Answer C, but would match Answer C if k + c were divided by 4. Answer C, as shown, is incorrect.
Solve for u. 31.25 = u/5
Answer:
u = 156.25
Step-by-step explanation:
Step 1: Write equation
31.25 = u/5
Step 2: Solve for u
Multiply both sides by 5: 156.25 = uRewrite: u = 156.25Step 3: Check
Plug in u to verify it's a solution.
31.25 = 156.25/5
31.25 = 31.25
Answer:
156.25
Step-by-step explanation:
if you multiply 31.25 times 5 you get 156.25
A bus travelling at a steady speed takes 2and half hours for a certain journey how long will a car take if it travels at three times the speed of the bus
Answer:
50 Minutes
Step-by-step explanation:
como se representan los lugares importantes
Los lugares importantes están protegidos para mantener sus significados naturales y culturales. Son reconocidos por tener un valor importante y cifras probatorias históricas. ... Puede ser importante debido a vínculos religiosos y culturales o eventos históricos que pueden haber ocurrido en el pasado cerca del lugar.
I'm just confuse prob need bit help
The room numbers of two adjacent classrooms are two consecutive even numbers. If their sum is 438, find the classroom numbers.
Step-by-step explanation:
218 + 220 = 438. 220 and 218 are consecutive even numbers
Determine the number of triangles ABC possible with the given parts.
b = 24, c = 29, B = 43°
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Answer:
2
Step-by-step explanation:
In general, if the given angle is opposite the shorter of the two given sides, there will be 0 or 2 possible triangles. The attachments show the two possibilities.
__
There will be zero possible triangles if the ratio of sides is less than the sine of the angle. Here, 24/29 ≈ 0.8276, sin(43°) ≈ 0.6820. The ratio of sides is greater, so there are two possible triangles.
If the given angle is opposite the longer of the two given sides, there is one possible triangle. The same is true if the given angle is between the two given sides.
what’s the difference between 2.7 , 5.9 on a number line
Answer:
3.2
Step-by-step explanation:
5.9 - 2.7 = 3.2
**difference means subtract**
The difference is between 2.7 and 5.9 on a number line.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
The numbers on the number line increase as one moves from left to right and decrease on moving from right to left.
Any directed number's location can be determined using a number line. There are positive and negative axes in it.
We have to determine the difference between 2.7 and 5.9 on a number line.
⇒ 5.9 - 2.7
Apply the subtraction operation between 2.7 and 5.9, and we get
⇒ 3.2
Therefore, the difference is between 2.7 and 5.9 on a number line.
Learn more about the number line here:
brainly.com/question/17617832
#SPJ2
If there is a nonmathematical symbol in the preceding expression, then your browser doesn't have the math symbol font. Please follow the instructions on the WeBWorK front page to install the STIX math fonts. To get around this temporarily, (i) print a hardcopy (the symbols will be there), (ii) in the options box in the right column of this screen, check the formatted option and press the apply options button, or (iii) go to a UITS public cluster (e.g., the Library) and work there.) Find the following:
a. g(h(x))=_______
b. h(g(x))=_______
c. h(h(x))=_______
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]g(h(x)) = \sqrt[4]{x^2 + x +5} + 3[/tex]
b
[tex]h(g(x)) = \sqrt{x} + 7\sqrt[4]{x} + 17[/tex]
c
[tex]h(h(x)) = [x^2 + x + 5 ]^2 + x^2 + x + 10[/tex]
Step-by-step explanation:
From the question we are told that
[tex]h(x) = x^2 + x + 5[/tex]
and
[tex]g(x) = \sqrt[4]{x} + 3[/tex]
Considering first question
Now we are told g(h(x))
i.e
[tex]g(h(x)) = [x^2 + x + 5 ]^{\frac{1}{4} } + 3[/tex]
=> [tex]g(h(x)) = \sqrt[4]{x^2 + x +5} + 3[/tex]
Considering second question
Now we are told h(g(x))
i.e
[tex]h(g(x)) = [x^{\frac{1}{4} } + 3]^2 + x^{\frac{1}{4} } + 3 + 5[/tex]
=> [tex]h(g(x)) = x^{\frac{1}{2} } + 6x^{\frac{1}{4} } + 9+ x^{\frac{1}{4}} + 8[/tex]
=> [tex]h(g(x)) = x^{\frac{1}{2}} + 7x^{\frac{1}{4}} + 17[/tex]
=> [tex]h(g(x)) = \sqrt{x} + 7\sqrt[4]{x} + 17[/tex]
Considering third question
[tex]h(h(x))= [x^2 + x + 5]^2 + [x^2 + x + 5 ] + 5[/tex]
=> [tex]h(h(x)) = [x^2 + x + 5 ]^2 + x^2 + x + 10[/tex]
A structural steel fabricator cuts 25 pieces each 16.2 centimeters long from a 6.35-meter length
of channel iron. Allowing 4 millimeters waste for each piece, find the length in meters of
channel iron left after all 25 pieces have been cut.
Answer: 2.2 meters
Step-by-step explanation:
The data is:
The initial piece is 6.35 meters long.
We cut 25 pieces of 16.2cm each, so in pieces only we have:
25*16.2cm = 405cm
1m = 100cm
Then: 405cm = (405/100) m = 4.05m
And each time that we cut a piece, we have 4mm of waste.
Then we have 25 times the 4mm of waste, this means that the total waste is:
4mm*25 = 100mm
and 1000mm = 1m
100mm = (100/1000) m = 0.1m
So the total amount that was cut is:
4.05m + 0.1m = 4.15m
The length in the channel iron will be: 6.35m - 4.15m = 2.2 meters
What is the equation in slope-intercept form of the line that passes through the points(-4,2) and (12,6)?
A. y = 0.25 x + 3
B. y = 0.25 x - 4.5
C. y = 4x + 18
D. y = 4x - 42
PLEASE HELP
Answer:
A
Step-by-step explanation:
Slope intercept form is y = mx + b
First find the slope or m with this equation [tex]\frac{y2 - y1}{x2 - x1}[/tex] (plug in) [tex]\frac{6 - 2}{12 + 4}[/tex] = [tex]\frac{4}{16}[/tex]= [tex]\frac{1}{4}[/tex]
So your slope is [tex]\frac{1}{4}[/tex]
To find the y-intercept you use y= mx + b and plug in.
6 = 1/4(12) + b
6 = 3 + b (minus 3 on both sides)
3 = b
so 3 is the y-intercept
So the answer is A.
What is the slope of the line for the situation below in decimal form?
Answer:
5/4
Step-by-step explanation:
The slope should be 5/4 because if you go to a point on the line where the boxes meet on your graph and connect it to another point, you can count. I like to use rise over run, meaning you count up or down until you get level with the point you're trying to reach, and the run is the left or right until you get to the point you need. I really hope this helped! It may seem confusing at first, but you got it!
Compute (11011011.101 + 101010.11) * 11.1
Answer:
the answer is 123,343,435.4421
ITS EASY BUT I DIDNT STUDY - PLZ HELP
Answer:
B
The answer is b im doing a type limit.
Evaluate -a (b) (-3) if a= -3 and b= -4
Answer:
12
Step-by-step explanation:
answer: It would be -(-3)-4-3 or 3-4-3=-4
explanation: Hope this helps!
Evaluate each trigonometric equation for θ.
Answer:
sinФ = 8/17
cosФ = 15/17
tan Ф = 8/15
csc Ф = 17/8
sec Ф = 17/15
cot Ф = 15/8
Step-by-step explanation:
Let us revise the trigonometry functions
Sin(x) = opposite/hypotenuseCos(x) = adjacent/hypoteouseTan(x) = opposite/adjacentCsc(x) = hypotenuse/oppositSec(x) = hypotenues/adjacentCot(x) = adjacent/oppositeIn the given figure
The opposite side to angle Ф = 8
The adjacent side to angle Ф = 15
Find the hypotenuse using Pythagoras' theorem
[tex]Hypotenuse = \sqrt{8^{2}+15^{2} }[/tex]
[tex]Hypotenuse = \sqrt{64+225}[/tex]
[tex]Hypotenuse = \sqrt{289}[/tex]
[tex]Hypotenuse = 17[/tex]
Let us use the rules above to find the trigonometry functions
sinФ = 8/17
cosФ = 15/17
tan Ф = 8/15
csc Ф = 17/8
sec Ф = 17/15
cot Ф = 15/8
Blank divided by 5 = 9
Answer:45
Step-by-step explanation:
9×5=45
An oblique prism has a volume of 144 cubic units. The area of its base is 24 square units.
What is the perpendicular height of the prism?
2 units
4 units
6 units
8 units
Answer:
6
Step-by-step explanation:
the volume of a prism is always the base times the height this can be written as V = bh
we know the volume is 144 and the base is 24
substitute this into your equation: 144 = 24h
divide both sides by 24 to find h
144 ÷ 24 = 6
so you get h = 6
Assuming an oblique prism has a volume of 144 cubic units. The perpendicular height of the prism is 6 units.
Perpendicular height of the prismUsing this formula
Volume of prism=Base area ×Height
Hence:
144=24×h
h=144/24
h=6 units
Therefore, assuming an oblique prism has a volume of 144 cubic units. The perpendicular height of the prism is 6 units.
Learn more about Perpendicular height of the prism here:https://brainly.com/question/10166088
Determine which of the following statements are true. Select all that apply.All rational numbers are also integers. Zero is not a rational number. All integers are rational numbers. All rational numbers can be written in the form
Step-by-step explanation:
1)All rational numbers are also integers.
2)All integers are rational numbers.
3)All rational numbers can be written in the form.
A company has beginning inventory of 20000, purchases of 15000, and ending of 2500. The cost of goods available for sale is?
Answer:
Maybe,2500. Is just my guessing.
Step-by-step explanation:
Cost of Goods Sold = Beginning Inventory + Purchases during the year - Ending Inventory
= 20,000 + 15,000 - 2,500
=35,000 - 2,500
=32,500
11 divided by 8 + 9 divided by 3
Answer:
Step-by-step explanation:
4.375
PLEASE HELP ! 30 POINTS WHOEVER ANSWERS GETS BRAINEST! Evaluate.
4/7 +3/4
37/56
1 19/28
3/7
7/11
Answer:
55075 / 68992
Step-by-step explanation:
:) hope this helps
After a windstorm, a leaning pole makes a 75° angle with the road surface. The pole casts a 15-foot shadow when the sun is at a 45° angle of elevation. About how long is the pole?
a) 11.0 ft.
b) 12.2 ft.
c) 16.7 ft.
d) 20.5 ft.
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Answer:
b) 12.2 ft
Step-by-step explanation:
Based on the attached and the answer choices, it looks like we're to assume the pole is leaning away from the sun. Of course, we must assume the angle the pole makes with the ground and the angle of elevation are in the same plane.
The problem can be solved using the law of sines. In the attached, we have ...
AD/sin(O) = OA/sin(D)
The angle at D is 180° -45° -75° = 60°, so this can be written as ...
AD = sin(45°)(15 ft)/sin(60°)
AD ≈ 12.247 ft
The pole is about 12.2 feet long.
What is occurring when two waves traveling along the same medium meet and cancel each other out?
O destructive interference
O constructive interference
O reflection
O refraction
THIS IS URGENT PLEASE HELP!!!!!!
WILL GIVE BRANLIEST
Answer: Consructive interference
Step-by-step explanation:
Answer:
destructive interference
Step-by-step explanation:
Find the remainder when 6a3 - 2a2 + 7a – 12 is divided by – 4 + 3a
Answer:
remainder = 8
answer is: 2a^(2) + 2a + 5 remainder 8
Step-by-step explanation:
Can you help me please
Answer:
Step-by-step explanation:
6, 2, 4 =136*
136+136=272
1,3,7,5 = 44 each
360* is the total 4 numbers
Im having a really hard time rn ;-;
2(a + 6) – 3(a – 5) = 18
Answer: A= 9
Step-by-step explanation:
2(a+6)-3(a-5)=18
FIRST YOU WANT TO DISTRUBUTE THE PARENTHESIS
2a + 12 -3a + 15 =18
ADD AND SUBTRACT LIKE TERMS
-1a + 27 = 18
SUBTRACT 27 ON BOTH SIDES
-1a + 27 =18
- 27 -27
-1a= -9
DIVIDES -1 ON BOTH SIDES AND NEGATIVES CANCEL OUT SO IT WOULD BE
A= 9