Anyone? please help asap i really want to finish this
It is a Part A and Part B Question
Note: please add the answer next to what part it's from so I can know which part was answered
Answers
Step-by-step explanation:
oh, come on ! one is finding the inequality itself, the other is solving it. you don't know the difference of that ?
if so, please let me know, what you don't understand of the following explanations, so that I can add whatever is necessary.
you know, what an equality (ahem, equation) is ?
both, equations and inequalities are like a balancing scale with usual different things on the two pans left and right.
an equation is when both sides are in balance. their weight is equal.
an inequality is, when one side is heavier than the other.
and you know, what a variable is ? it is a kind of placeholder for actual values. it is like keeping some space open on the scale pan with a list of conditions for what kind of things you can put in that open space, so that the status of the scale stays unchanged.
A
twenty less than a number is at least 15
looks mathematically
x - 20 >= 15 (larger or equal = "at least")
B
x - 20 >= 15
x >= 35
so, this is true for
{x € R | x >= 35}
or
{x € R | x = 35 or x > 35}
so, this is true for all real values of x that are at least 35.
Related Questions
Which of the following are solutions to the equation cos^2 2x-1/4=0? Check all that apply.
A. 11pi/3
B. 12pi/6
C. 5pi/6
D. Pi/6
Answers
Answer:
D
Step-by-step explanation:
Cos^2 2x=1/4
Cos 2x =+-1/2
2x=z
Cos z=+-1/2
z1=pi/3
z2=11pi/3
z1 and z2 are possible.
x1=pi/6
x2=11pi/6
2x-17=51+61
Super easy!
Answers
[tex] \underline{ \boxed {\sf \color{cyan}{x = \frac{129}{2}}}}[/tex]
[tex]\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Solution :-[tex]\Longrightarrow\sf{2x- 17 =51 +61}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{2x- 17= 112}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{2x- 17 + 17 = 112 + 17}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{2x = 129}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{\frac{ \cancel2x}{ \cancel2}=\frac{129}{2}}[/tex]
[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex]\Longrightarrow\sf{x = \frac{129}{2}}[/tex]
[tex]\pink{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}[/tex]
[tex]{\pink{\boxed{\blue{2x - 17 = 51 + 61}}}}[/tex]
SOLUTION =>2x - 17 = 51 + 61
[tex]{\blue{\boxed{{Take -17 \: \: to \: \: the \: \: other \: \: side \: \: and }}}}[/tex]
[tex]{\blue{\boxed{{its \: \: sign \: \: will \: \: change \: \: \: into \: \: + }}}}[/tex]
2x = 112 + 17
2x = 129
[tex]{\blue{x = {\pink{ \frac{129}{2} }}}}[/tex]
What is the slope of a line parallel to the line whose equation is x + y = -7. Fully
simplify your answer.
Answers
Answer:
slope = - 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x + y = - 7 ( subtract x from both sides )
y = - x - 7 ← in slope- intercept form
with slope m = - 1
Parallel lines have equal slopes
then the slope of a line parallel to it is - 1
The table shows the longest known rivers on Earth. How much longer is the Nile than the Amazon?
Answers
Answer:
135 mile difference
Step-by-step explanation:
The nile is 4132 miles long according to Gogle and The amazon is 3997 miles long according to gogle
I need this answer fast please and thank you
Answers
Answer:
1-nonlinear it is not consistant
2- a increasing, b constant, c decreasing
3- 'a' walking away from hole, 'b' rests, 'c' goes back to hole (b could also be gather, as in food)
4- 8cm per second
work 16cm/2sec=8cm/1sec
Step-by-step explanation:
What is the simplified value of the exponential expression 16 superscript one-fourth? 2 4
Answers
For the exponential expression, [tex]16^{1/4}[/tex] the simplified value is 2.
How to simplify the exponential expression?
First, we need to remember a rule for exponential expressions, it says that:
[tex]x^{1/n} = \sqrt[n]{x}[/tex]
Then we can rewrite the given exponential expression as:
[tex]16^{1/4} =\sqrt[4]{16}[/tex]
So, we just need to find a number that when multiplied by itself 4 times, is equal to 16.
We know that:
2*2 = 4
Then:
2*2*2*2 = 2⁴ = 4*4 = 16
Then we can conclude that:
[tex]16^{1/4} =\sqrt[4]{16} = 2[/tex]
So the simplified value of the exponential expression is 2.
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What is the measurement at plot a?
Answers
Answer:
An Acre is a propduct of any rectangular plot of land giving a total of 4,046sqm OR 43,560sq ft. An Acre consist of 6 plots each measuring 6 x 120ft. In Lagos State, the standard size of a plot is 60 x 120ft (18m x 36m ie 648sqm), while in some other cities of the country, plots are measured in 50 x100ft.
Step-by-step explanation:
please help before 11 pm
B=?
Answers
Answer:
155.24
Step-by-step explanation:
[tex]\text{Apply sine rule,}\\\\~~~~~~~~\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}\\\\\\\implies \dfrac{b }{\sin B} = \dfrac{c}{ \sin C}\\\\\\\implies b = \dfrac{c \cdot \sin B}{\sin C}\\\\\\\implies b = \dfrac{197\sin 52^\circ}{\sin 51^{\circ}}~~~~~~~~~;\left[\angle C = 180^{\circ} - 77^{\circ} -52^{\circ} = 51^{\circ} \right]\\\\\\\implies b \approx 200[/tex]
Mr. Howell teaches four geometry classes.
On the last test he gave, 95% of the
students passed the test, 60% studied for
the test, and 48% both studied and passed
the test. If a student is chosen at random,
what is the probability that they passed the
test, given that they studied?
Answers
Answer:
0.8
Step-by-step explanation:
I'm just writing this
1.1 How much profit did Jamie make if he sold 87 tickets for his treasure hunt? 1.2 Each horse ride lasts 5 minutes with a one minute pause in between for the next rider to get in the saddle. After every hour and a half the horses are given a rest. How many children can get an opportunity to ride a horse before they rest? 1.3 Give the grid reference of the treasure hidden south-east of the ice cream table. 1.4 If you are standing at the cup cakes table, in which direction must you walk to find the swings? 1.5 In which direction is the cold drinks table from the table where Sarah creates her balloon animals? 1.6 The distance on the map between the treasures hidden in block B2 and (3) (3 (2) (2 (4
Answers
Answer:
because the Gravity of the eart.
Step-by-step explanation:
the times is equarl and plus is to mynos sorna iloveyou mwa.
The diagram below shows an angle, 0, graphed in the xy-coordinate plane. The segment RT is the initial side of the
angle, and segment RM is the terminal side. Segments RT and RM are radii of the unit circle centered at the origin
R(0,0).
T
R
M
The x-coordinate of point M is. What is the coordinating sine value for this angle of rotation?
SET
Answers
The coordinating sine value for this angle of rotation will be 4.189.
How to calculate the angle?From the complete information, in the unit circle, there's a point with -1/2 and the x value is 240°.
In this case, the coordinating sine value for this angle of rotation will be:
= (240 × π)/180
= (240 × 3.142) / 180
= 4.189
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Trains Two trains, Train A and Train B, weigh a total of 384 tons. Train A is heavier than Train B. The
difference of their weights is 288 tons. What is the weight of each train?
Train A weighs tons.
Answers
i think the answer is 336 bc 384+288=672 then divide
2 is 336,
(so sorry if im wrong)
PLEASE ANSWER 60 PTS
find all missing angles below.
Answers
Step-by-step explanation:
a=60°{vertically opposite angles}
b=180°-(52+110)°=18°
c=180°-(60+18)°=102°
d=180°-102°=78°
e=180°-(78+51)°=51°
if 2⁴x ÷2x =64 find the value if x
with steps pls
Answers
Answer:
[tex]2 ^ { 4 } x \div 2x=64\\2^{4}x^{2}=128 \\16x^{2}=128 \\x^{2} = 128 \div 16\\x^{2}=8 \\x = \pm 2\sqrt{2}[/tex]
Answer: no solution or x ∈ Ø
Step-by-step explanation:
(2⁴ × x) ÷ 2x = 64
16x ÷ 2x = 64
[tex]\frac{16x}{2x} = 64[/tex]
8 = 64
8 = 64, x [tex]\neq[/tex] 0
8 = [tex]8^{2}[/tex]
2 = ㏒₈ 8
2 = 1
Given: segment AB || segment DE, C is the midpoint of segment DB. Prove LABC = AEDE Fill in the missing statement for the proof.
Answers
Answer: B
Step-by-step explanation:
What percent of 6 is 9?
Answers
Answer:
150%
Step-by-step explanation:
half of 6 is three, and 9 has a value of 3 more than 6. meaning that 9/6 = 150%
Answer: [tex]150[/tex]% [tex]([/tex][tex]0.54[/tex][tex])[/tex]
Step-by-step explanation:
For fraction: divide 6 by 100 and remove the % sign.
{[tex]6[/tex]}% [tex]=\frac{6}{100}[/tex]
For decimal: move the decimal point 2 places to the left and remove the % sign.
{[tex]6[/tex]}% [tex]=0.06[/tex]
[tex]100[/tex]% [tex]=9[/tex]
[tex]\frac{6}{100}[/tex] × [tex]9=0.06[/tex] × [tex]9=0.54[/tex]
[tex]6[/tex]% [tex]of~9~is~0.54[/tex]
Please help! 100points! A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.
an = 2(an − 1 + 4) and a1 = 5 (the n and n-1 is suppose to be a subscript, I just can't figure out how to make it like that)
Answers
Answer:
5, 18, 44, 96, 200
Step-by-step explanation:
Given
aₙ = 2(aₙ₋₁ + 4)a₁ = 5First term : 5
Second term : a₂ = 2(a₁ + 4)
a₂ = 2(5 + 4) = 2(9) = 18Third term : a₃ = 2(a₂ + 4) = 2(18 + 4) = 2(22) = 44
Fourth term : a₄ = 2(a₃ + 4) = 2(44 + 4) = 2(48) = 96
Fifth term : a₅ = 2(a₄ + 4) = 2(96 + 4) = 2(100) = 200
Hence, the first 5 terms of the sequence are :
5, 18, 44, 96, 200Answer:
5, 18, 44, 96, 200
Step-by-step explanation:
[tex]\textsf{Given sequence}: \quad a_n=2(a_{n-1}+4)[/tex]
[tex]\textsf{Given first term}: \quad a_1=5[/tex]
[tex]\implies a_1=5[/tex]
[tex]\implies a_2=2(a_{1}+4)=2(5+4)=2(9)=18[/tex]
[tex]\implies a_3=2(a_{2}+4)=2(18+4)=2(22)=44[/tex]
[tex]\implies a_4=2(a_{3}+4)=2(44+4)=2(48)=96[/tex]
[tex]\implies a_5=2(a_{4}+4)=2(96+4)=2(100)=200[/tex]
In the following function defined by an equation in the form y = a x squared + b x + c, identify the values of a, b, and c.
y = 5 x squared + 2 x minus 1
a.
a = negative 1, b = 2, c = 5
b.
a = negative 2, b = 5, c = 1
c.
a = 1, b = 5, c = 2
d.
a = 5, b = 2, c = negative 1
Answers
The correct answer is option D which is a = 5, b = 2, c = - 1.
What is a quadratic equation?It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that:-
y = 5x² + 2x - 1The general form of the equation is given as:-
Y = ax² + bx + c
We have a quadratic equation:-
y = 5x² + 2x - 1
By comparing the equation with the general form the value of a, b and c is calculated:-
a = 5
b = 2
c = -1
Therefore the correct answer is option D which is a = 5, b = 2, c = - 1.
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Johnny has to buy his mother a birthday present. If he spends $90 on 5 necklaces, how much was each necklace?
Answers
Answer:
$450
Step-by-step explanation:
If the number of bacteria in a colony doubles every 475 hours and there is currently a population of 65 bacteria, what will the population be 950 hours from now???
Answers
The population (number of bacteria in the colony), 950 hours from that time, will be 260 bacteria
Determining the population of bacteriaFrom the question, we are to determine what the population will be after 950 hours
From the given information,
The number of bacteria in a colony doubles every 475 hours
The current population is 65 bacteria
∴ After 475 hours, the new population will be 2 × 65 bacteria
New population after 475 hours = 130 bacteria
After another 475 hours (that is, 950 hours from the initial time),
The population will be 2 × 130 bacteria = 260 bacteria
Hence, the population, 950 hours from that time, will be 260 bacteria
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after a 15% discount an item cost22.27 what was the origanl price
Answers
Answer:
26.2
X = 22.27/(1 - 0.15)
X = 22.27/0.85
X = 26.2
Find the volume of a sphere with a surface area of 23041 in2.
Answers
Answer:V≈3.29×105in³
Step-by-step explanation:im smart
Stephen has 42 coins that are all dimes and nickels. The value of the coins is $3.65. How many dimes and how many nickels does Stephen have
Answers
answer is 31 dimes, 11 nickels
see picture attachment for the math
equation is .05N + .10D = 3.65
value of nickels and dimes
using D + N = 42
change to find value of N = 42 - D
plug value of N into the equation and solve
Write a rule for the input/output table
Answers
The table is a linear function, and the rule for the input/output table is f(x) = 1 + 3x
How to determine the rule?From the table, we can see that:
The output of the table is 1 more than 3 times the input
If the input is x, then the output y is:
y = 1 +3 * x
Evaluate
y = 1 + 3x
Hence, the rule for the input/output table is f(x) = 1 + 3x
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A business supply store sells 10 pens for$8. What is the cost of 2 pens?
Answers
[tex]\begin{array}{ccll} pens&\$\\ \cline{1-2} 10 & 8\\ 2& x \end{array} \implies \cfrac{10}{2}=\cfrac{8}{x}\implies 5=\cfrac{8}{x}\implies 5x=8\implies x=\cfrac{8}{5}\implies x=1.6[/tex]
need to paint an entire cylindrical tank (all sides) it is 29ft long and 9ft diameter find the total surface area.
Answers
Fill in the missing number.
__% of 80 = 60
Answers
Answer:
it would be 75% :))
Answer:
75% of 80 = 60
Step-by-step explanation:
60/80 x 100
= 6/8
= 3/4
=75% of 100!
And that's how you find out the percentage.
Write the ratio 40.5 to 8.1 as a fraction
Answers
[tex]\cfrac{40.5}{8.1} ~~ \begin{cases} 40.5\implies \frac{405}{10}\\\\ 8.1\implies \frac{81}{10} \end{cases}\implies \cfrac{ ~~ \frac{405}{10} ~~ }{\frac{81}{10}}\implies \cfrac{405}{10}\cdot \cfrac{10}{81}\implies \cfrac{405}{81}\cdot \cfrac{10}{10} \\\\\\ \cfrac{5\cdot 81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot \cfrac{81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot 1\cdot 1\implies \cfrac{5}{1}[/tex]
A cookie factory uses 7/10 of a barrel of oatmeal in each batch of cookies. The factory used 4 9/10 barrels of oatmeal yesterday. How many batches of cookies did the factory make?
Write your answer as a fraction or as a whole or mixed number.
Answers
Answer: 7 BATCHES
Step-by-step explanation: to produce one batch it takes 7/10 of oatmeal
Now the factory uses 4 9/10 batch of oatmeal
1=7/10 OATMEAL
X=4 9/10 OATMEAL
X=(7/10*1)/4 9/10
=4 9/10*10/7
=490/70
=7
Need help on this one please
Answers
Answer:
y = 1/3 x + 4
Step-by-step explanation:
y = 1/3 x + 4
The y intercept is 4 (when x = 0 from the graph) and the slope is rise (1) and run (3).