Answer:
[A] Null Set
Explanation:
|z| + 13 = 11Subtract 13 From Both Sides
|z| + 13 - 13 = 11 - 13
Simplify
z = -2
Absolute Value Cannot Be Less Than 0, Therefore There Is So Solution
[A] Null Set
Answer:
null set
Step-by-step explanation:
solve 2/3 = x/18 SOMEONE PLS HELP
Answer:
x = 12
Step-by-step explanation:
what you have to do is cross multiply::
3x = 36
and then single the x out
x = 12
HURRY
A bucket holds 10 white golf balls, 3 pink golf balls, and 5 yellow golf balls. Jason selects 1 golf ball from the bucket at random.
What is the probability that the golf ball he selects is white or pink?
5/54
5/13
13/18
13/5
Answer:
I would have to say 5/13 and if I'm wrong I'm sorry just trying to help you out
In the diagram, mAngleFLI is 106°, mAngleFLG = (2x – 1)°,
mAngleGLH = (x + 17)°, and mAngleHLI = (4x – 15)°.
Four lines extend from point L. They are lines L F, L G, L H, and L I.
What is the measure of the smallest angle in the diagram?
15°
29°
32°
45°
Answer:
b. 29°
Step-by-step explanation:
In the given diagram, the smallest angle in the diagram is ∠FLG = 29°.
What is an angle?When to lines are meeting at a point, then the geometrical figure is formed called an angle.
Given, four lines extend from point L.
They are lines LF, LG, LH, and LI.
∠FLI = 106°, ∠FLG = (2x - 1)°, ∠GLH = (x + 17)°, ∠HLI = (4x - 15)°
Here, ∠FLI = ∠FLG + ∠GLH + ∠HLI
106° = (2x - 1)° + (x + 17)° + (4x - 15)°
⇒ (2x - 1)° + (x + 17)° + (4x - 15)° = 106°
⇒ (7x + 1)° = 106°
⇒ 7x = 105
⇒ x = 15
Now, ∠FLG = (2x - 1)° = (2 × 15 - 1)° = 29°
GLH = (x + 17)° = (15 + 17)° = 32°
∠HLI = (4x - 15)° = (4 × 15 - 15)° = 45°
Therefore, the smallest angle in the diagram is ∠FLG = 29°.
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Find 3 consecutive odd integers such that 10 times the first is 59 more than the third
9514 1404 393
Answer:
7, 9, 11
Step-by-step explanation:
Let x represent the middle integer. Then the first is x-2, and the third is x+2. The given relation is ...
10(x -2) = 59 +(x +2)
10x -20 = x +61 . . . . eliminate parentheses
9x = 81 . . . . . . . . . . . add 20-x
x = 9 . . . . . . . . . . . . . divide by 9
The integers are 7, 9, 11.
_____
Check
7·10 = 11 +59 . . . true
3x– 2y = -3
y = 7 - 4x
Resolver por sustitución
Answer:
y= 3/2x+3/2 btw add these and that is your answer then y=-4
Step-by-step explanation:
The recommended dosage of some drug is 20 grams of the drug for every 100
kg a person weighs. How much of the drug should be administered to a 70 kg woman?
Answer:
14 grams
Step-by-step explanation:
20/100=x/70
70 * 20/100=x
14=x
Which is the graph of f(x) = RootIndex 3 StartRoot x EndRoot – 4?
Answer:
Graph shown below
Step-by-step explanation:
Cubic Root Graph
The graph of the function
[tex]f(x)=\sqrt[3]{x}-4[/tex]
Is shown in the attached image. Some points are calculated below:
We'll take x={-8,-1,0,1,8}:
[tex]f(-8)=\sqrt[3]{-8}-4=-2-4=-6[/tex]
Point (-8,-6)
[tex]f(-1)=\sqrt[3]{-1}-1=-1-4=-5[/tex]
Point (-1,-5)
[tex]f(0)=\sqrt[3]{0}-4=0-4=-4[/tex]
Point (0,-4)
[tex]f(1)=\sqrt[3]{1}-1=1-4=-3[/tex]
Point (1,-3)
[tex]f(8)=\sqrt[3]{8}-1=2-4=-2[/tex]
Point (8,-2)
The graph of [tex]\rm f(x) = \sqrt[3]{x} - 4[/tex] is attached below and this can be sketched by substituting the values of x in the function f(x) and then plotting the points on the graph.
Given :
[tex]\rm f(x) = \sqrt[3]{x} - 4[/tex]
The following steps can be used in order to determine the graph of the given function f(x):
Step 1 - Determine the value of f(x) at the values of x = {-8,-4,0,4,8}.
Step 2 - At (x = -8) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{-8} - 4[/tex]
[tex]\rm f(x) = -2 - 4 = -6[/tex]
Step 3 - At (x = -4) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{-4} - 4[/tex]
f(x) = -5.6
Step 4 - At (x = 0) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{0} - 4[/tex]
f(x) = -4
Step 5 - At (x = 4) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{4} - 4[/tex]
f(x) = -2.4
Step 6 - At (x = 8) the value of f(x) is given by:
[tex]\rm f(x) = \sqrt[3]{8} - 4[/tex]
f(x) = -2
Step 7 - Now, plot the points obtained in the above steps on the graph in order to draw the graph of the given function [tex]\rm f(x) = \sqrt[3]{x} - 4[/tex]
The of the function [tex]\rm f(x) = \sqrt[3]{x} - 4[/tex] is attached below.
For more information, refer to the link given below:
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4.4 + [4 × 1/4 + 8.6]
Answer:
14
Step-by-step explanation:
f(x) = x + 2
g(x) = 3x^2 - 5
Find (f•g)(x).
Step-by-step explanation:
(f o g)(x)
= f(3x² - 5)
= (3x² - 5) + 2
= 3x² - 3.
(f.g)(x) = 3x^2 - 3
f(x) = x + 2
g(x) = 3x^2 - 5
equation is the relationship between variable and represented as is example of polynomial equation.
f(x) = x + 2
g(x) = 3x^2 - 5
now putting the x = g(x)
in f(x) = x + 2
Thus,
f(g(x)) = 3x^2 - 5 + 2
f(g(x)) = 3x^2 - 3
Thus, (f.g)(x) = 3x^2 - 3
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9. In the diagram below of rectangle RSTU, diagonals RT and SU intersect
at O. If RT = 6x + 4 and SO = 7x - 6, what is the length of US?
Your Answer should be 16
Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].
What is the diagonal?
A polygon is defined as a flat or plane, two-dimensional closed shape bounded with straight sides.
A diagonal is a line segment connecting the opposite vertices (or corners) of a polygon. In other words, a diagonal is a line segment connecting two non-adjacent vertices of a polygon.
Here given that,
In the diagram below of rectangle [tex]RSTU[/tex], diagonals [tex]RT[/tex] and [tex]SU[/tex] intersect
at [tex]O[/tex]. If [tex]RT = 6x + 4[/tex] and [tex]SO = 7x - 6[/tex],
[tex]US=SO(2)\\\\US=7x-6(2)\\\\US=14x-12[/tex]
So,
[tex]6x+4=14x-12\\\\4+12=14x-6x\\\\16=8x\\\\x=\frac{!6}{8}\\\\x=2[/tex]
Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].
To know more about the diagonals
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Demons answer this for me.
Answer:
Step-by-step explanation:
if you have negative numbers of x (this means negative meters) then the equation transform them into negative yards.
then replace y by 40yd in the equation like
40 = 1.09x
x = 40/1.09 = 36.7 meters
so in a 40yd race, there are 36.7 meters.
What is 2x + 2 when x = 0? A 0 B 2 C 20 D 22
Answer:
B. 2
Step-by-step explanation:
Step 1:
2x + 2 Equation
Step 2:
2 ( 0 ) + 2 Input x value
Step 3:
0 + 2 Multiply
Answer:
B. 2
Hope This Helps :)
Answer:
B
Step-by-step explanation:
a conical vessels with base radius 5 cm and height 24cm is full of water this water is emptied into a cylindrical vessel of base radius 10cm find the height to which the water will rise in the cylindrical vessel
please help me
Answer:
[tex]2\ cm[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Radius\ of\ the\ conical\ vessel=5\ cm\\Height\ of\ the\ conical\ vessel=24\ cm\\Hence,\\As\ we\ know\ that,\\Volume\ of\ a\ cone=\frac{1}{3}\pi r^2h\\Hence,\\The\ volume\ of\ the\ conical\ vessel=\frac{1}{3}\pi (5)^224= \frac{1}{3}\pi 25*24=200\pi \\Hence,\\The\ volume\ of\ the\ conical\ vessel=The\ amount\ of\ water\ filled\ in\ it\\Hence,\\The\ amount\ of\ water\ filled\ in\ the\ conical\ vessel=200\pi\\Lets\ consider\ the\ cylindrical\ vessel:\\Volume\ of\ a\ cylinder=\pi r^2h[/tex]
[tex]As\ we\ are\ not\ said\ that\ the\ cylindrical\ vessel\ was\ empty,\ let\ its\ initial\\ height\ be\ h_1\\Radius\ of\ the\ Cylindrical\ vessel=10\ cm\\Initial\ height\ of\ the\ cylindrical\ vessel=h_1\\Initial\ volume\ of\ the\ cylindrical\ vessel=\pi *10^2*h_1=100h_1\pi \\Initial\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi \\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=Final\ amount\ of\ water\\ in\ the\ cylindrical\ vessel +Amount\ of\ water\ in\ conical\ vessel[/tex]
[tex]Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=100h_1\pi +200\pi \\Now,\\Let\ the\ final\ height\ be\ h_2\\Hence,\\Final\ amount\ of\ water\ in\ the\ cylindrical\ vessel=\pi *10^2*h_2=100h_2\pi \\Hence,\\100h_2\pi =100h_1\pi +200\pi \\Hence,\\100h_2=100h_1+200\\100h_2-100h_1=200\\100(h_2-h_1)=200\\h_2-h_1=2\\Hence,\\As\ the\ rise\ in\ level\ is\ the\ difference\ between\ the\ initial\ and\ final\\ heights:\\The\ rise\ in\ level\ of\ water=2\ cm[/tex]
In the figure, angle I measures 56° and angle A measures 38°.
The measurement of angle B, C, F is
Answer:
B = 34 C = 108 F = 94
Step-by-step explanation:
Answer:
B = 34 C = 108 F = 72
Step-by-step explanation:
It's not my answer look in the comments for the other answer :P
HELP! Given f(x)=6(1-x), what is the value of f(8)?
a: 42
b: 48
c: -42
d: 6
Answer:
The answer is c: -42
Step-by-step explanation:
Because f(8): 6(1-8) is 6(-7) so is -42.
A student thinks that the regular pentagon in the diagram
has 10 lines of symmetry. Explain the student's error.
Answer:
A
Step-by-step explanation:
The student must have thought that every single arrowhead is a line of symmetry, so since there are 10 arrowheads, there must be 10 lines of symmetry. This is incorrect because if you look closely at the diagram, each line has 2 arrowheads, so the student is overcounting by a factor of 2. They should have just counted the number of lines, not arrowheads. Therefore, there must be 10/2 = 5 lines of symmetry, not 10. Hope this helps!
A family is calculating the cost for one semester of college next year. Each hour of class will cost $155. A scholarship gift of $64 can be deducted from costs. If h is the number of hours taken, and c is the total cost, which equation can be used to calculate the total tuition costs for a semester?
C=89h
C=155h+64
C=155h-64
C=-155h-64
Answer:
c=155h-64
Step-by-step explanation:
you mulitply the cost of the classes by the amount of hours, then you deduct the scholarship gift(64) from the total and get your total cost of the semester
Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevation from the point on the ground where Johnny is standing is 70 degrees to the top of Building A and 52 degrees to the top of Building B. How far apart are the two buildings
Answer:
389 feets apart
Step-by-step explanation:
Given that:
Building A
Height = 400feets
Angle of elevation = 70°
Building B:
Height = 300 feets
Angle of elevation = 52°
Distance from the foot of building A to where Jonny is standing = x (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 70 = 400/ x
2.7474774x = 400
x = 145.58809 feets
Distance from the foot of building B to where Jonny is standing = y (see attached picture)
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 52 = 300/ y
1.2799416y = 300
y = 145.59
y = 234.38568 feets
x + y = distance between the two buildings
(145.58809 + 234.38568) feets
= 379.97377
= 380 feets apart
3x + 10 =1 A:x=6B=X=3 C:x=-3
Answer:
x = -3
Step-by-step explanation:
3x + 10 -10 = 1 - 10
3x = -9
3x / 3 = -9/3
x = -3
pls help thx and merry christmas and or happy Hanukkah
Answer:
3 3/4 yards of ribbon my dudeeee
Answer:
oof
Step-by-step explanation:
Sharad went to his friend's place on a motorcycle. When he started, the reading was 19,235 km. When he reached his friend's place it was 19,301 km. How many km did sharad travel ?
Answer:
the number of km did sharad travel is 66 km
Step-by-step explanation:
The computation of the number of km did sharad travel is as follows:
= The km at his friend place - km when he started
= 19,301 km - 19,235 km
= 66 km
Hence, the number of km did sharad travel is 66 km
So, the same is to be considered by applying the given formula so that the correct distance could come
which line is transversal
Answer:
line l is the transversal
what is the answer?
Answer:
A S A
Step-by-step explanation:
In ΔACE & ΔBCD,
∠A ≅ ∠B {Given} Angle
AC = BC {Given} Side
∠ACE = ∠BCD { Reflexive property} Angle
ΔACE ≅ ΔBCD ------>A S A Property
Which ordered pair is in the solution set of y≥13x+4 ?
(-6,1)
(-1,6)
(6,-1)
Answer:
first one
Step-by-step explanation:
Which answer describes the type of sequence?
3,9, 15, 21, ...
Answer: Arithmetic sequence
Step-by-step explanation:
The pattern in the sequence is n = n-1 + 6. Since n is increasing through addition with each term, this sequence is arithmetic.
A car dealership increase the price every swing her by 6% devotional price was $37,800. What is the new price?
write the new price in terms of the original price write your answer as a decimal
Answer:
$40,068 no decimals enclode in itWhat is the value of N in the expression below
Step-by-step explanation:
please mark me as brainliest thank you
Solve by the substitution method.
6x + 8y = 0
-7x + y = 31
Answer:
(-4, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
6x + 8y = 0
-7x + y = 31
Step 2: Rewrite Systems
-7x + y = 31
Add 7x to both sides: y = 7x + 31Step 3: Redefine Systems
6x + 8y = 0
y = 7x + 31
Step 4: Solve for x
Substitution
Substitute in y: 6x + 8(7x + 31) = 0Distribute 8: 6x + 56x + 248 = 0Combine like terms: 62x + 248 = 0Isolate x term: 62x = -248Isolate x: x = -4Step 4: Solve for y
Define equation: -7x + y = 31Substitute in x: -7(-4) + y = 31Multiply: 28 + y = 31Isolate y: y = 3sam is 12 in four years his age will be 2/3 the age of his cousin like how old will luke be in two years
Answer:
he will be 17 in
Step-by-step explanation:
if (x ➖ y)2=441 and xy=46 find the value of x2+y2
