Solve the following linear inequalities given in the first column and choose the appropriate results
Answers
Answer:
[tex]g\geq 17[/tex]
[tex]g > -10[/tex]
[tex]g > -1[/tex]
Step-by-step explanation:
[tex]7(g-19)\geq -14[/tex]
Divide both sides by 7:
[tex]g-19\geq -2[/tex]
Add 19 to both sides:
[tex]g\geq 17[/tex]
[tex]3(7g+17) > -19+14g[/tex]
Expand brackets:
[tex]21g+51 > -19+14g[/tex]
Subtract 14g from both sides:
[tex]7g+51 > -19[/tex]
Subtract 51 from both sides:
[tex]7g > -70[/tex]
Divide both sides by 7:
[tex]g > -10[/tex]
[tex]6(-6g+6) > -2(19g-17)[/tex]
Expand brackets:
[tex]-36g+36 > -38g+34[/tex]
Add 38g to both sides:
[tex]2g+36 > 34[/tex]
Subtract 36 from both sides:
[tex]2g > -2[/tex]
Divide both sides by 2:
[tex]g > -1[/tex]
Related Questions
Convert 3 kilometres into metres
Answers
Answer:
3000m
Step-by-step explanation:
First, note that km is the same as kilometers and m is the same as meters. Thus, when you are asking to convert 3 km to m, you are asking to convert 3 kilometers to meters.
A kilometer is larger than a meter. Simply put, km is larger than m. In fact, a kilometer is "10 to the power of 3" larger than a meter.
Since a kilometer is 10^3 larger than a meter, it means that the conversion factor for km to m is 10^3. Therefore, you can multiply 3 km by 10^3 to get 3 km converted to m.
Here is the answer with the math showing you how to convert 3 km to m by multiplying 3 by the conversion factor of 10^3.
3 x 10^3
= 3000
3 km
= 3000 m
Answer:
3000 m
Step-by-step explanation:
Unit conversion :
1000 m = 1 kmSolving :
Let the missing value be 'x' mThen, according to this ratio :x/3 = 1000/1x = 1000 * 3x = 3000 mWhat is the volume of a rectangular prism with a length of 10 inches, a width of 5 inches, and a height of 8 inches?
Answers
Answer:
400 in.
Step-by-step explanation:
V= l x w x h
V=10 x 5 x 8 =400 in.
PLEASE HELP ASAPPP IM TIMED
Answers
[tex]\textbf{a).}\\\\r^2-12r+32\\\\=r^2 -8r-4r+32\\ \\=r(r-8) -4(r-8)\\\\=(r-8)(r-4)\\\\\textbf{b).}\\\\5a^2-7a-6\\\\=5a^2-10a+3a-6\\\\=5a(a-2)+3(a-2)\\\\=(a-2)(5a+3)\\\\\textbf{c).}\\\\16g^2+40g+25\\\\=(4g)^2 +2\cdot 5\cdot 4g+5^2\\\\=(4g+5)^2\\\\=(4g+5)(4g+5)[/tex]
Does anyone know the answer to this?
Answers
Answer:
Excuse me, Where is the question??
what is the equation of the straight line that passes through the point (2,-4) with the slope -2?
Answers
Answer:
y = - 2x
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 )
here m = - 2 . then
y = - 2x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = - 4 + c (add 4 to both sides )
0 = c
y = - 2x + 0 , that is
y = - 2x ← equation of line
NEED HELP ASAP GEOMETRY
Answers
Answer:
BBCADD that is the awnser
Step-by-step explanation:
or a triangle XD
WILL GIVE BRAINLIEST The points Q(0,1), R(-9,-5), s(-7, -8), and T(2,-2) form rectangle QRST. Plot the points then click the "Graph Quadrilateral" button. Then find the area of the rectangle.
Answers
well, we know its a rectangle, so hmmm opposite sides are not just parallel but equal, hmmm so the area of this rectangle we can get by Length * Width, in this case that'll be QT * TS
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Q(\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad T(\stackrel{x_2}{2}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ QT=\sqrt{[2 - 0]^2 + [-2 - 1]^2}\implies QT=\sqrt{2^2 + (-3)^2}\implies QT=\sqrt{13} \\\\[-0.35em] ~\dotfill[/tex]
[tex]T(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad S(\stackrel{x_2}{-7}~,~\stackrel{y_2}{-8})~\hfill TS=\sqrt{[-7 - 2]^2 + [-8 - (-2)]^2} \\\\\\ TS=\sqrt{(-9)^2 + (-8+2)^2}\implies TS=\sqrt{117} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{\sqrt{13}\cdot \sqrt{117}\implies \sqrt{1521}\implies 39}[/tex]
A rectangle has a width of 8 inches. The perimeter of the rectangle is 40inches. What is the length of the rectangle, in inches?
Show the formula please and work plus answer thank you
Answers
Answer:
12
Step-by-step explanation:
You want to add 8+8 and you get 16. Subtract 16 from 40 and you get 24 (This is both lengths). Divide 24 by two to get 12 (One length Vaule).
Winston drove 70 mph. If he drives for 3.5 hours how many miles will Winston drive?
I need the answer ASAP
Answers
The first represents the total trip, which is the miles driven in the morning added to those in the afternoon. Let's call the hours driven in the morning X and the hours driven in the afternoon Y. We get: X + Y = 248.
The second equation relates the miles driven in the morning compared to the afternoon. Since 70 fewer miles were driven in the morning than the afternoon, then X = Y - 70.
Now substitute the equation for morning hours (equation 2) into the total miles equation (equation 1). We get:
(Y - 70) + Y = 248
2Y - 70 = 248
2Y = 318
Y = 159
We know that Winston drove 159 miles in the afternoon.
To find the morning hours, just substitute 159 into the equation for morning hours (equation 2)
X = 159 - 70
X = 89
We now know that Winston drove 89 miles in the morning.
We can check our work by plugging both distances into the total distance equation: 89 + 159 = 248
PQRS is a rectangle and OS = 16. Find the blanks below:
mments
ssions
S
R
es
le
О
s
bus
P
O
zes
dules
OQ =
16
BlueButton
aborations
PR =
ogle Drive
uce 365
mZQRS =
ogle Drive
Answers
Answer: 48
Step-by-step explanation:
PLS HELP ME ASAP I WILL MARK THE BRAINLIEST
Answers
For Cylinder:
SA = 578.05 yd^3
V = 955.04 yd^3
For Trapezoidal Prism:
SA = 510.4 ft^2
V = 275 ft^3
Cylinder: Second Image
diameter - D
area - A
radius - R
height - H
volume - V
surface area - SA
PI = 3.14159...
R = D/2
R = 8/2
R = 4 yd
Surface Area:
SA = 2×PI×R×H + 2×PI×R^2
SA = 2×(3.14159×4×19) + 2(3.14159×(4)^2)
SA = 578.05 yd^3
Volume:
V = PI×(R^2)×h
V = 3.14159×(4^2) × 19
V= 955.04 yd^3
Trapezoidal Prism: First Image
lateral area - LA
area of base - BA
base - B
width - W
height - H
volume - V
surface area - SA
Volume:
V = BA × H
V =( L×W + 0.5(B×H)) × H
V = (5×7 + 0.5(8×5)) × 5
V = 275 ft^3
Surface area:
Lateral area is the sum of all the areas excluding the area of the base.
LA = a×l + b×l + c×l + d×l
LA = l(a+ b + c + d)
LA = 11(5 + 9.4 + 15 + 7)
LA = 400.4 ft^2
BA = L×W + 0.5(B×H)
BA = 5×7 + 0.5(8×5)
BA = 55 ft^2
SA = 2×BA + LA
SA = 2×55 + 400.4
SA = 510.4 ft^2
Given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function.
Answers
Answer:
you can find the aswer in the question and the in the frist sentes of the question
Step-by-step explanation:
a porsche, can travel 576 m in 32 s. what is its average speed?
Answers
Step-by-step explanation:
Displacement = 576 m
Time taken = 32s
Now
[tex]average \: speed = \frac{distance \: travelled}{time \: taken} \\ = \frac{576}{32} \\ = 18 m/s[/tex]
I need help with this question.
Answers
Step-by-step explanation:
the volume of a cylinder is as for any regular shaped object
ground area × height
here the ground area is a circle, so we get
pi×r²×h
with r being the radius (half the diameter), and h the height.
therefore,
pi×(2.7/2)²×10 = 3.14×1.8225×10 = 57.25552611... cm³
so, the first option is correct.
The equation d = 11 cosine (startfraction 8 pi over 5 endfraction t) models the horizontal distance, d, in inches of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, in seconds. according to the model, how long does it take for the pendulum to swing from its rightmost position to its leftmost position and back again? assume that right of center is a positive distance and left of center is a negative distance. 0.625 seconds 0.8 seconds 1.25 seconds 1.6 seconds
Answers
The time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
What is time period of pendulum?Pendulum is the body which is pivoted a point and perform back and forth motion around that point by swinging due to the influence of gravity.
The time period of pendulum is time taken by it to complete one cycle of swing left to right and right to left.
The equation models the horizontal distance of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, is given as,
[tex]d = 11 \cos\left( \dfrac{8\pi}{5}t\right)[/tex]
At the maximum position, the time period is zero. Thus,
[tex]\dfrac{8\pi}{5}t=0\\t=0[/tex]
At the minimum position, the period equal to the π. Thus,
[tex]\dfrac{8\pi}{5}t=\pi\\t=\dfrac{5}{8}\\t=0.625[/tex]
This time is for one side of motion. The time for swing from its rightmost position to its leftmost position and back again is,
[tex]t=0.625+0.625\\t=1.25\rm\; s[/tex]
Thus, the time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
Learn more about the time period of pendulum here;
https://brainly.com/question/3551146
Answer:
C:1.25
Step-by-step explanation:
You are curious about the amount of coffee that the giant fountain cup could
actually hold.
The dimensions of the fountain cup are as follows:
• Height is 8 feet.
• Diameter of the top is 6 feet.
• Diameter of the base is 4 feet.
Use this formula with height, h, radius of the base, base, and radius of the
top, "top, to determine the volume of the cup:
V =
(an) ((base)? + (Pbase) (Ftop) + (rtop) 3).
There are 7. 5 gallons of liquid per cubic foot.
Enter the volume, in gallons, of the fountain cup.
Answers
Assuming there are 7. 5 gallons of liquid per cubic foot. The volume of the cup is: 1,193.8 gallons.
Volume of the cupUsing this formula
V =πh/3 [(r base)²+ ( r base) (r top) + (r top) ²]
Where:
height of cup (h)= 8 feet
radius of base of cup (r base)= 4 feet/2=2 feet
radius of top of cup (r top)= 6 feet/2=3 feet
Let plug in the formula
V =πh/3 [(8)²+ (2) (3) + (3) ²]
V =πh/3×8×19
V=152 π/3
Hence:
Volume of the cup in gallons=152 π/3 ×7.5
Volume of the cup in gallons=477.52208334564/3×7.5
Volume of the cup in gallons=1,193.8gallons
Therefore the volume of the cup is: 1,193.8 gallons.
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A
Complete the transformation on the rectangle
ABCD shown and choose the resulting vector
Use [ABCD]
Answers
Answer:
(3 -1 -1 3
4 4 1 1)
reflection across the y-axis
Step-by-step explanation:
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answers
9^2-4^2•radical 2^2
i need help 9th grade math
Answers
Answer:
(f + g)(x) = x + 5
Explanation:
f(x) = 2x + 3
g(x) = 3x + 2
===========
(f + g)(x)f(x) + g(x)2x + 3 + 3x + 25x + 5Answer:
[tex](f+g)(x)=5x+5[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=2x+3[/tex]
[tex]g(x)=3x+2[/tex]
[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (2x+3)+(3x+2)\\ & = 2x+3+3x+2\\ & =2x+3x+3+2\\ & = 5x + 5\end{aligned}[/tex]
Bill can paint a closet in 2 hours. Joe can paint the same in 7 hours. Write equation that can used to find long paint the closet working together. Let represent the number both to complete the job.
Answers
Answer:
14/9 hours
Step-by-step explanation: 1/2+1/7=9/14, so 1/(9/14)=14/9
Please help!! 40 Points!!!!!
Answers
Answer:
see explanation
Step-by-step explanation:
A
when 2 equal bases are being multiplied together their exponents are added together, that is
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
B
[tex]12^{5x}[/tex] × [tex]12^{-7}[/tex] = [tex]12^{5x-7}[/tex]
C
[tex]x^{4}[/tex][tex]y^{6k+2}[/tex] × x²[tex]y^{-1}[/tex]
= [tex]x^{4}[/tex] × x² × [tex]y^{6k+2}[/tex] × [tex]y^{-1}[/tex]
= [tex]x^{(4+2)}[/tex] × [tex]y^{(6k+2-1)}[/tex]
= [tex]x^{6}[/tex][tex]y^{6k+1}[/tex]
#A
a^b+a^c=a^b+c#B
12^5x×12^-712^5x-7#C
x⁴y^6k+2×x²y^-1x⁶y^6k+2-1x⁶y^6k+1Find the length of b to the nearest tenth.
(BRAINLIEST :D)
Answers
Answer:
1.7
Step-by-step explanation:
You can use the 30/60/90 triangle rule, but it was quicker for me to do. SIN(60)=b/2. If you want a more in depth explanation just reply to this but I have to go right now so I will do it later.
What is the resulting product of 4 × 8 and description of the product?
Answers
Answer:
32
Step-by-step explanation:
The answer is 32 because 8 x 3 is 24 so then just add 8
2(7+1)divided by 4+5
Answers
1=9
The illustration below shows the graph of
y
yy as a function of
x
xx.
Complete the following sentences based on the graph of the function.
(Enter the
x
xx-intercepts from least to greatest.)
This is the graph of a
function.
The
y
yy-intercept of the graph is the function value
y
=
y=y, equals
.
The
x
xx-intercepts of the graph (in order from least to greatest) are located at
x
=
x=x, equals
and
x
=
x=x, equals
.
The greatest value of
y
yy is
y
=
y=y, equals
, and it occurs when
x
=
x=x, equals
.
For
x
xx between
x
=
2
x=2x, equals, 2 and
x
=
6
x=6x, equals, 6, the function value
y
yy
0
00.
Answers
This is the graph of a NON-LINEAR FUNCTION
The y intercept of the graph is the function value y=-6
The x intercepts of the graph are located at x=2 and x=6
The greatest value of y is y= 2 and it occurs when x=4
For x between x=2 and x=6, the function value y≥0
Hope this helped :>
(7.8 x 10^3) (1.0 x 10^4) =?
Answers
Answer:
78000000
Step-by-step explanation:
(7.8 x 10^3) (1.0 x 10^4) =?
Please help me with question 1.
Answers
Answer:
C =66
Step-by-step explanation:
m114° + mmm
Answer : 66°
An oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches. what is the volume of the oblique cone? round to the nearest tenth. 142.4 cubic units 142.4 square units 196.0 cubic units 196.0 square units
Answers
The volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches
Volume of a coneThe formula for calculating the volume of an oblique cone is expressed as:
V = (1/3) * π * r² * h.
where
r is the radius
h is the height
Given the following parameters
r = 4 units
h = 8.5 units
Substitute
V = (1/3) * 3.14 * 4² * 8.5.
V = 142.4 cubic inches
Hence the volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches
Learn more on volume of cone here: https://brainly.com/question/1082469
Answer: 142.4
Step-by-step explanation:
PLEASE SOLVE THIS I DONT HAVE MUCH TIME I WILL GIVE BRAINLYZ
A rectangle has a length of 10 cm and a width of 6 cm
How long is the diagonal of the rectangle?
Answers
Answer:
d = 2√34
Explanation:
d² = 10² + 6²d² = 100 + 36d² = 136d = √136d = 2√34A city council is considering funding a proposal to create a new city park. The council members will fund the proposal if they conclude that more than 60 percent of the city residents support the proposal. A survey of 2,000 randomly selected city residents will be conducted to investigate the level of support for the proposal. Let X represent the number of city residents in the sample who support the proposal. Assume that X is a binomial random variable.
A. Determine the mean and standard deviation of the random variable X, assuming that 60 percent of city residents support the proposal
B. Assume that 60 percent of city residents support the proposal. Use a normal approximation and the mean and standard deviation from part a to determine the values of k1 and k2 (the left and right boundaries of the middle .997 area)
C. The survey was conducted, and 1293 of the 2000 city residents supported the proposal. Do your answers in part b and the survey support the funding of the proposal? Justify your answer.
Answers
The mean and standard deviation of the random variable X if 60 percent of city residents support the proposal is 1200 and 21.9 respectively.
How to calculate the mean?From the information given, the mean of the binomial variable x will be:
= 2000 × 60%
= 2000 × 0.6
= 1200
The standard deviation will be:
= ✓n × ✓p(1 - p)
= ✓1200 × ✓0.4
= ✓480
= 21.9
Also, the mean and standard deviation to determine the values of k1 and k2 will be -3 and 3.
Lastly, the test statistic will be:
= (0.65 - 0.60)/(✓0.60 × (0.40) /2000
= 0.05/✓0.24/2000
= 0.05/0.011
= 4.55
The z value at 5% significance level is 1.64. This supports the funding of the proposal.
Learn more about mean on:
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