Answer:
we conclude that when we substitute b = 15, the solution of the inequality becomes:
[tex]a>-3[/tex]
Therefore, the value of b = 15.
The solution graph is also attached.
Step-by-step explanation:
Given the inequality expression
[tex]a+b>12[/tex]
Putting b = 15 in the inequality expression
[tex]a+b>12[/tex]
[tex]a+15>\:12[/tex]
subtract 15 from both sides
[tex]a+15-15>12-15[/tex]
simplify
[tex]a>-3[/tex]
Thus, we conclude that when we substitute b = 15, the solution of the inequality becomes:
[tex]a>-3[/tex]
Therefore, the value of b = 15.
The solution graph is also attached.
The ratio of the measures of the sides of a triangle is
1:15:3. If the perimeter of the triangle is 152 yards,
find the length of the longest side.
Answer:
The length is 120 yards
Step-by-step explanation:
Here, we want to find the length of the longest side
The longest side ratio is 15
Add up all the ratio,
We have 1 + 15 + 3 = 19
So the length will be;
15/19 * 152
= 120 yards
6. What is the value of x in the following system of equations?
x + y = -10
y = x - 2
Answer:
X= -4
Step-by-step explanation:
Hello. For to solve that, you need to use the sustitution method:
1. You need clear X in the first equation and put in the second
X+Y = -10
X = -10-Y
2. Y = X-2, then you replaced the X in this equation:
Y = (-10-Y) - 2
Y+2=-10-Y
2Y=-10-2
2Y= -12
Y= -12/2
Y=-6
3. Now you use the Y value for to solve X:
X=-10-Y, then
X =- 10-(-6)
X = -4
Task: Nonpermissible Values for Rational Expressions [30 points] Write a rational expression that has the nonpermissible values x=0 and x=17. Explain your reasoning using complete sentences.
Answer:
A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].
Step-by-step explanation:
A rational expression has a nonpermissible value when for a given value of [tex]x[/tex], the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:
[tex]f(x) = \frac{p(x)}{q(x)}[/tex] (1)
Then, the factorized form of [tex]q(x)[/tex] must be:
[tex]q(x) = x\cdot (x-17)[/tex] (2)
If we know that [tex]p(x) = 4[/tex], then the rational expression is:
[tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex] (3)
A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].
please help I will mark brainliest
Answer: look up alaskan pipeline
Step-by-step explanation:
Find the common difference of the arithmetic sequence –9, -7, -5, ...
please help i dont want to fail
Answer: -2.2
Step-by-step explanation:
Answer:
-3/5 which is the third line between 0 and -1 if you're going back from 0.
plzzzzzzzz help
The regular price of a coat is $35.25. During a sale, the coat rang up for $19.99. What was the percent off of the coat during the sale? (5 points)
a
The sale was for a 43% decrease.
b
The sale was for a 76% increase.
c
The sale was for a 76% decrease.
d
The sale was for a 43% increase.
Answer:
a
The sale was for a 43% decrease.
Step-by-step explanation:
The computation of the percent off of the coat during the sale is shown below:
Regular price is $35.25
And, in the sale the price is $19.99
So, the percent off would be
= ($35.25 - $19.99) ÷ ($19.99)
= 43% decrease
hence, the percent off of the coat during the sale is 43% decrease
Therefore the correct option is a.
And, all the other options are incorrect
PLEASE ANSWER THIS I BEG FOR YOUR MERCY!!!!!!!!!!!! if you dont know....dont answer
Answer:
the answer is the second choice
Step-by-step explanation:
hopefully this helps :)
NEED HEPP FAST MARKING PEOPLE AS BRAINLIST
Answer:
yes becasue their sides have the same length and angles
Step-by-step explanation:
The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubic meters per minute. At the instant when the radius of the cone is 99 meters and the volume is 180 cubic meters, what is the rate of change of the height? The volume of a cone can be found with the equation V=\frac{1}{3}\pi r^2 h.V= 3 1 πr 2 h. Round your answer to three decimal places.
Answer:
The rate of change of the height is 0.021 meters per minute
Step-by-step explanation:
From the formula
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
Differentiate the equation with respect to time t, such that
[tex]\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)[/tex]
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)[/tex]
To differentiate the product,
Let r² = u, so that
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)[/tex]
Then, using product rule
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}][/tex]
Since [tex]u = r^{2}[/tex]
Then, [tex]\frac{du}{dr} = 2r[/tex]
Using the Chain's rule
[tex]\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}[/tex]
∴ [tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})][/tex]
Then,
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
Now,
From the question
[tex]\frac{dr}{dt} = 7 m/min[/tex]
[tex]\frac{dV}{dt} = 236 m^{3}/min[/tex]
At the instant when [tex]r = 99 m[/tex]
and [tex]V = 180 m^{3}[/tex]
We will determine the value of h, using
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
[tex]180 = \frac{1}{3}\pi (99)^{2}h[/tex]
[tex]180 \times 3 = 9801\pi h[/tex]
[tex]h =\frac{540}{9801\pi }[/tex]
[tex]h =\frac{20}{363\pi }[/tex]
Now, Putting the parameters into the equation
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
[tex]236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)][/tex]
[tex]236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386][/tex]
[tex]708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}[/tex]
[tex]708 = 30790.75 \frac{dh}{dt} + 76.36[/tex]
[tex]708 - 76.36 = 30790.75\frac{dh}{dt}[/tex]
[tex]631.64 = 30790.75\frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt}= \frac{631.64}{30790.75}[/tex]
[tex]\frac{dh}{dt} = 0.021 m/min[/tex]
Hence, the rate of change of the height is 0.021 meters per minute.
What type of angles are these?
Answer:
I believe that the answer is the 5th one (Adjacent angles).
Step-by-step explanation:
Adjacent angles are two angles that share a common side and vertex.
Complementary angles are mostly the same but their degrees add up to 90.
Supplementary angles are similar to complementary angles but add up to 180 degrees.
Vertical angles intersect though each other and are not perpendicular (which perpendicular angles also intersect, but all angles are 90 degrees and they all add up to 360 degrees).
Linear angles are like their name, they are linear. And, they usually intersect like vertical angles. Have a linear relationship between the angles.
The angles shown on the pictures are not any of the answers, except adjacent. They don't add up to 90 degrees, so they are not complementary. They share the same common side and vertex. These facts lead up to one answer which is adjacent. These angles are adjacent.
Hope this explanation helps! :)
A Red Oak tree is estimated to grow
0.25
feet every year. According to this estimate, how long will it take, in years, for a Red Oak tree to grow by
15
feet?
Answer:
60 years
Step-by-step explanation:
Estimate a 15% tip on a dinner bill of $41.35 by first rounding the bill amount to the nearest ten dollars.
Answer:
Total you have to pay: $47.55
Tax amt: $6.20
Step-by-step explanation:
Multiply $41.35 by 1.15
How this works, when your increasing an amount you first change the percentage to a decimal number. Afterwards you add the decimal number
Ex: 1 + .15= 1.15
Or the opposite: 1 - .15= .85
Then multiply your original number by the number you got from the previous step.
Ex: $41.35 x 1.15=47.55
And to find how much you increase just do (Final amount-Initial Amount)
pls help with find the value of x
Answer:
x : 5
Step-by-step explanation:
I hope this is right! Good luck!
sinπ÷14×sinπ÷14×sinπ÷14
Answer:
Step-by-step explanation:
??? do you need help or is this free points?
What is the common differenec in 7, 6, 5, 4,...
Answer:
d = - 1
Step-by-step explanation:
The common difference d between consecutive terms is
6 - 7 = 5 - 6 = 4 - 5 = - 1
Answer:
Step-by-step explanation:
h+7.9 +13 what is this answrerrr
Answer:
H + 20.9
Step-by-step explanation:
add 7.9 and 13 = 20.9
Answer:
5.1
Step-by-step explanation:
You subtract 7.9 from both sides of the equation in order to find the answer. 13 minus 7.9 is 5.1, so h is equal to 5.1
if x^3+ax^2-18x+b = (x+5)(x-4)(x+2) what is a and b
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[tex] (x + 5)(x - 4)(x + 2) = [/tex]
[tex](x + 5) ({x}^{2} - 2x - 8) = [/tex]
[tex] {x}^{3} - 2 {x}^{2} - 8x + 5 {x}^{2} - 10x - 40 = \\ [/tex]
[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]
_________________________________
Compare :
[tex] {x}^{3} + 3 {x}^{2} - 18x - 40[/tex]
[tex] {x}^{3} + a {x}^{2} - 18x + b[/tex]
Thus :
[tex]a = 3[/tex]
and
[tex]b = - 40[/tex]
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A common tub is 54 inches long. What could be its length in centimeters? (1 inch = 2.54 cm)
Answer:
137.16 cm
Step-by-step explanation:
its jus multiplication so 54in x 2.54cm
Jarrod sports card holder can hold 9 cards on each page. How many pages will Jarrod need if he has 75 sport cards?
Hello! Lets take a look.
To do this problem you would have to divide.
"75/9"
So what is the answer to that?
8!
Help Pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: thats a tuff one
Step-by-step explanation:
im not sure
The answer is D 8g to the power of 6 h to the power of 4 k to the power of 12-h to the power of 25 k to the power of 15
Karen owns a seafood restaurant orders trout from an online retailer each pound trout cost $28 and the company charges a four dollar fee for shipping the order however if Karen orders 10 or more pounds the trout cost only $22 per pound but the shipping fee is eight dollars which Price
Answer:
228
Step-by-step explanation:
22*10-220
220+8=228
Triangles XYZ and RST are similar. XY
is 24 inches, YZ is 16 inches, XZ is
12 inches, RS is 18 inches, and RT is
9 inches. Find the length of ST.
Answer:
g
Step-by-step explanation:
Kaylee earned $446.40 at her job when she worked for 18 hours. What was her hourly wage, in dollars per hour?
On the double number line below, fill in the given values, then use multiplication or division to find the missing value.
Answer:
Kaylee earned $24.8 per minute.
Step-by-step explanation:
Basically, just divide the total wage, by hours earned.
in the blanks I assume you just put 24.8 dolars per 1 hour and then the final 446.40 for 18 hours at the end of the number line :)
If possible may I have brainlist? Thanks g
whats 3,648 dividing 91?
Answer:
40,08791209Step-by-step explanation:
Answer:
Assuming you meant 3,648/91 it would be 40.0989
Step-by-step explanation:
However if you meant 91/3,648 your answer would be 0.0249
PLEASE HELP ME WILL GIVE BRAINLIST!!! PLEASE HELP ME.
Identify the slopes and y-intercepts of the following graphs:
*write the slopes as a fraction or improper fraction using /.
slope =
y - intercept = ( , )
Answer:
-1.5 y 3
Step-by-step explanation:
enjoy enjoy hopefully it's right
Answer:
Slope = -3/2
y-intercept = 3
Step-by-step explanation:
Select any two points.
(x₁ , y₁) = (0, 3) & (x₂ , y₂) = (2 , 0)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\frac{0-3}{2-0}\\\\=\frac{-3}{2}[/tex]
y - y₁ = m(x -x₁)
y - 3 = [tex]\frac{-3}{2}(x - 0)[/tex]
y - 3 = [tex]\frac{-3}{2}x[/tex]
[tex]y = \frac{-3}{2}x + 3[/tex]
Compare with y = mx + c
Slope = -3/2
y-intercept = 3
A 40-foot wire is attached to a pole and runs to the ground as shown below.
The pole is 35 feet tall.
About how far away from the pole is the wire attached to the ground?
Answer:
5 feet away
Step-by-step explanation:
i am not sure but did mental math
The solution of a system of equations with no solution describes what kind of lines?
options:
parallel
coincidental
perpendicular
intersecting
Answer:
parallel
Step-by-step explanation:
The answer is parallel because Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines
A person can pay $26 for a membership to the science museum and then go to the
museum for just $1 per visit. What is the maximum number of visits a member of the
science museum can make for a total cost of $34?
Answer:
8 visits
Step-by-step explanation:
26+8 visits (1 dollar a visit)= 34
Answer:
8
Step-by-step explanation:
Last month karmin made $480 working for 30 hours this month she will get a 15% increase in the amount she earns per hour what will be her hourly rate In dollars after the increase
Answer:
$18.40
Step-by-step explanation:
480/30= 16
$16 is the amount earned per hour
16×.15= 2.40
$2.40 is 15% increase in the amount she earns per hour
16+2.40=18.40
$18.40 is hourly rate in dollars after the increase