What is the value of b? -11b + 7 =40 (also there is another question in the bottom of the picture. If you can answer it please do)
Answers
Problem 1
The idea here is to follow PEMDAS in reverse to undo what is happening to the variable b, so we can isolate it.
-11b + 7 = 40
-11b = 40-7
-11b = 33
b = 33/(-11)
b = -3
To check this value, plug it back into the original equation. You should get 40 on each side to help confirm the answer.
Answer: b = -3=====================================================
Problem 2
There are two ways we can solve. One method is to use the hint your teacher gave you. So we'll distribute first and then follow the same idea as problem 1
9(p-4) = -18
9p-36 = -18
9p = -18+36
9p = 18
p = 18/9
p = 2
Another method you can use is to follow these steps
9(p-4) = -18
p-4 = -18/9
p-4 = -2
p = -2+4
p = 2
Either way, we get the same result. To check the answer, replace every p with 2 in the original equation. You should get -18 on the left side after simplifying.
Answer: p = 2Related Questions
14. A quadratic equation is graphed above.
Which of the following equations could be
paired with the graphed equation to create
a system of equations whose solution set is
comprised of the points (2,-2) and (-3, 3)?
A. y = x + 6
B. y = x - 6
C. y = X
D. y = -x
Answers
Answer:
D.
Step-by-step explanation:
2=-2，3=-3
2²=-2²，3²=3²
Which graph represents the function f(x) = x-2?
Answers
Answer:
click in photo
nejdjjd
nxndjdbbdjf
lấy x=0 ta có y= -2 => A(0;-2)
lấy y=0 ta có x=2 => B(2;0)
nối 2 điểm A và B ta có đồ thị:
The table shows how surveyed drivers obtained their current vehicle and how they plan to get their next vehicle.
A 2-way table. A 4-column with 4 rows titled Plan for Next Vehicle. Column 1 has entries Current vehicle, bought new, bought used, leased total. Column 2 is labeled Buy new with entries 39, 19, 5, 63. Column 3 is labeled Buy used with entries 6, 146, 2, 154. Column 4 is labeled Lease with entries 6, 9, 18, 33. Column 5 is labeled Total with entries 51, 174, 25, 250.
What percent of drivers surveyed bought their current vehicle new and will buy a new vehicle again next time? Round your answer to the nearest whole number; you do not need to enter the percent symbol.
I think it's 16. Can someone help check it?
Answers
Answer:
The answer is 16!
EDGE2021
Answer:
16%
Step-by-step explanation:
edge 2023
How many hours will it take to complete a 45-km bike ride if you go 12km per hour the whole time?
Answers
Answer:
3.75 hours
Step-by-step explanation:
d = rt
where d is the distance, r is the rate and t is the time
45 = 12 t
Divide each side by 12
45/12 = t
3.75 hours = t
can somboby help me please
Answers
Answer:
x = 8
Step-by-step explanation:
The question had specified that x is equal to 8.
x=8
explanationsplease mark this answer as brainlist
Find COS Instructions: Find the value of the trigonometric ratio. Make sure to simplify the If needed
Answers
Answer:
Sin X = 12 / 37
Step-by-step explanation:
Given a right angled triangle, we are to obtain the Sin of the angle X ;
Using trigonometry, the sine of the angle X , Sin A is defined as the ratio of the angle opposite X to the hypotenus of the right angle triangle.
In the right angle triangle :
Sin X = opposite / hypotenus
Opposite = 12 ; hypotenus = 37
Sin X = 12 / 37
i would like some help please i am stuck
Answers
Answer: -2(d) is the answer.
Step-by-step explanation:
x1 = 3
y1 = -5
x2 = -2
y2 = 5
slope (m) = rise/run = (y2 - y1)/(x2-x1)
=(5-(-5))/(-2-3)
= 10/-5
= -2
Below is a geometric sequence. 3, 9, 27, 51, ... (b) what is the common raters if the geometric sequence?
Answers
3*3=9, 9*3=27, etc etc
The one-to-one functions g and h are defined as follows.
Answers
Answer:
Step-by-step explanation:
The one-to-one functions g and h are defined as follows.
g={(-7,-6), (-5,4), (4,-7)(7,6)}
h(x)= 3x-14
Find the following.
g-1(4)=
"g-1(4)" just says "Find the pair of coordinates that has 4 for its
y-coordinate, and the answer is its x-coordinate". So we look through those
and find (-5,4) is the only one of those up there that has a 4 for it's y-
coordinate, and so its x-coordinate is -5 and we write:
g-1(4)=-5
The Required value for the function are:
1. g⁻¹(-3) = -1.
2. h⁻¹(x) = (x - 2) / 7.
3. (h o h⁻¹)(0) = -16/49.
1. g⁻¹(-3):
Looking at the pairs in g, we can see that (-1, -3) is the pair where the output is -3.
Therefore, g⁻¹(-3) = -1.
2. h⁻¹(x):
To find h⁻¹(x), we need to solve the equation h(y) = x for y.
The given function h(x) = (x - 2) / 7.
So, let's substitute y for h⁻¹(x):
(x - 2) / 7 = y
x - 2 = 7y
Now, solve for y by dividing both sides by 7:
y = (x - 2) / 7
Therefore, h⁻¹(x) = (x - 2) / 7.
3. (h o h⁻¹)(0):
To find (h o h⁻¹)(0), we need to evaluate the composition of h and h⁻¹ at 0.
First, we find h⁻¹(0):
h⁻¹(0) = (0 - 2) / 7 = -2/7
Now, we substitute h⁻¹(0) into h:
h(h⁻¹(0)) = h(-2/7) = (-2/7 - 2) / 7 = (-2 - 14) / 49 = -16/49
Therefore, (h o h⁻¹)(0) = -16/49.
Learn more about Function here:
https://brainly.com/question/30721594
#SPJ2
Convert the improper fraction to a whole or mixed number. (Enter your answer as a simplified mixed number.)
25
7
Answers
Natalie Jenny, Steve and Jatin paid $12 for their taxi. They shared this equally between them. What fraction did each pay?
Answers
Answer:
1/4
Step-by-step explanation:
12/4= 3
Each paid $3 but as a fraction 3/12=1/4
Answer:
[tex] \frac{1}{4} [/tex]
Step-by-step
12÷4=3
3/12=1/4-each pay this fraction
***URGENT***
PLEASE HELP ME ASAP, ITS DUE TODAY!!!
............................................................
T is the point on AB such that AT:TB = 5: 1. Show that ot is parallel to the vector a + 2b.
Answers
Step-by-step explanation:
SO, OT is parallel to the vector a+2b
PLEASE ANSWER QUICK ITS BEEN 1 HOUR
Which of the following is a unit rate?
A. 4 Feet / 1 Second
B. 120 Miles / 2 Hours
C. $1.25 / 4 oz
D. 340 Miles / 6 Gallons
Answers
9514 1404 393
Answer:
A. 4 feet/(1 second)
Step-by-step explanation:
A "unit" is one of something. A unit rate is a rate that has 1 of something in the denominator. Look down the list at the denominators and find the value that has 1 as a denominator:
[tex]\dfrac{4\text{ feet}}{1\text{ second}}[/tex]
Graph the inequality in the coordinate plane. y<6
Answers
Answer:
Simpler equations and inequalities as such could be typed into an online graphing calculator such as Desmos! Remember this because you'll need it for future harder math classes :)
Step-by-step explanation:
The lengths of the parallel sides of
a trapezium are 12cm and 26cm
If Its area is 228cm square Find the
perpendicular distance between the
Parallel sides
Answers
Answer:
12 cm
Step-by-step explanation:
12+26/2 ×x =228
19x =228
X=12cm
1
What is the perimeter of a rectangle
whose length is 5 feet and whose width
is 3.5 feet?
O 8.5 ft.
O 16.5 ft.
O 17 ft.
O 17.5 ft.
Answers
Answer:
17ft
Step-by-step explanation:
5*2 + 3.5*2=17
Explanation
Perimeter of rectangle = 2(l+b)
As length = 5 ft and breadth/width = 3.5 ft
So,
=2 ( 5+3.5)
=2 ( 8.5 )
= 17 feet
I hope it helps!
pls mark me brainliest :)
11
find the number of ways of forming
an executive Committee of four in a
social club consisting of 15 members,
If a particular man must be in
the comittee
Answers
There are 365 ways of forming an executive Committee of four in a social club consisting of 15 members
Understanding Permutation and CombinationIf a particular man must be in the committee, we can choose the remaining 3 members from the remaining 14 members. The number of ways to choose 3 members from 14 is given by the combination:
14Cr3 = [tex]\frac{14!}{3! 11!}[/tex] = [tex]\frac{14x13x12}{3x2x1}[/tex] = 364
Therefore, there are 364 ways of forming an executive committee of four in a social club consisting of 15 members, if a particular man must be in the committee.
Learn more about combination here:
https://brainly.com/question/28065038
#SPJ1
Can anyone help please?
Answers
Answer:
part 1:
a) After 37.72 years, there will be $270,183.29421
b) After 11.9 years, there will be double the amount originally put in the account(60,015.17148)
part 2:
38 years
Step-by-step explanation:
a)
30000(1.06)^t
t=37.72
30000(1.06)^37.73 = 270,183.29421
b)
30000(1.06)^t
t=11.9
30000(1.06)^11.9 = 60,015.17148
part 2)
37.72 rounded to the nearest tenth is 38
... select this as the brainliest please!!...
I need to know this answe ASAP
Answers
Answer:
The function is always increasing
Step-by-step explanation:
To be increasing, the y value needs to be getting bigger as x gets bigger
This is true for all values of x
The function is increasing for all values of x
Use the remainder term to find the minimum order of the Taylor polynomial, centered at 0, that is required to approximate the following quantity with an absolute error no greater than 10^-2.
√1.06.
n>= __________
Answers
Answer:
n ≥ 3
Step-by-step explanation:
Applying the remainder term in evaluating the minimum order of the Taylor polynomial
absolute error ≤ 10^-2
[tex]\sqrt{1.06}[/tex]
∴ n ≥ ?
The remainder term is the leftover term after computation ( dividing one polynomial with another )
attached below is the detailed solution
The minimum order of the Taylor polynomial, n≥3
What is Taylor polynomial?Taylor polynomial is a series of functions that has an infinite sum of terms that are expressed in terms of the function's derivatives.
[tex]\rm f(a)+\frac{f'(a)}{1!} (x-a)+\frac{f''(a)}{2!} (x-a)^{2} +....,[/tex]
Applying the Taylor series polynomial, the minimum order of the Taylor polynomial, centered at 0
[tex]\rm f(0)+\frac{f'(0)}{1!} (x-0)+\frac{f''(0)}{2!} (x-0)^{2} +....,[/tex]
f(x) = [tex]\sqrt{x+1}[/tex]
[tex]f'(x)=\frac{1}{2}[/tex]
[tex]f''(x)=3/8[/tex]
substituting in the Taylors series
T(x) = [tex]1+\frac{x}{2} -\frac{x^{2} }{8} +\frac{x^{3} }{16}[/tex]......
T(0.06) = [tex]1+\frac{0.06}{2} -\frac{0.06^{2} }{8} +\frac{0.06^{3} }{16}...[/tex]
T(0.06) =1.03
f(0.06) =
[tex]\sqrt{0.06+1}\\= 1.03[/tex]
Therefore, the minimum order of the Taylor polynomial, n≥3
Learn more about Taylor polynomial;
https://brainly.com/question/23842376
A population of deer in Florida grows according to a logistic model, with r = 0.17 and K = 10,000. At what population size is the per capita population growth rate the highest? Group of answer choices N = 1000 N = 5000 N = 8000 N = 10000
Answers
Answer:
N = 1000
Step-by-step explanation:
The population growth of species per capita of any geographical can be computed by using the formula:
[tex]\dfrac{dN}{dT}=rN (1 - \dfrac{N}{K})[/tex]
here;
N = population chance
T = time taken
K = carrying capacity
r = the constant exponential growth rate
From the given equation, we can posit that the value of r will be the greatest at the time the value of dN is highest:
As such, when the population chance = 1000
[tex]\dfrac{dN}{dT}=0.17 * 1000 (1 - \dfrac{1000}{10000})[/tex]
[tex]\dfrac{dN}{dT}=0.17 * 1000 (0.9)[/tex]
[tex]\dfrac{dN}{dT}= 153[/tex]
At N = 5000;
[tex]\dfrac{dN}{dT}= 85[/tex]
At N= 8000;
[tex]\dfrac{dN}{dT}= 34[/tex]
At N = 10000
[tex]\dfrac{dN}{dT}= 0[/tex]
If total sales are $54000 your food service total is 42% of your total sales what is your dollar target for food service
Answers
Answer:
Your dollar target for food service is $22,680
Step-by-step explanation:
It is given in the question that total sales are = $54,000
your food service is 42% of your total sales = 42% × $54,000
= × 54,000
= 0.42 × 54,000
= $22,680
Write a linear equation in point-slope form for the line that goes through (1, -3) and (3,9).
A. y+3 = -6(x-1)
B. y- 9 = 6(x - 3)
C. y- 9 = 2(x-3)
D. y + 3 = 6(x-1)
Answers
B. (3,9)
D. (1,-3)
While these do contain one point, substitute the coordinates to see which contain both.
B.
(1,-3): -3-9=6(1-3): -12=-12
(3,9): 9-9=6(9-3): 0= 6(6)
D.
(1,-3): -3+3=6(1-1): 0=6(0); 0=0
(3,9): 9+3=6(3-1): 12=6(2): 12=12
D is correct since the coordinate are on the line.
The measure of angle tis 60 degrees.
What is the x-coordinate of the point where the
terminal side intersects the unit circle?
1
2
O
O
Isla Isla
2
DONE
Answers
Answer:
Step-by-step explanation:
Not a clear list of options and/or reference frame
Probably 0.5 if angle t is measured from the positive x axis.
Solve the equation.
1. For parentheses:
Distribute
4-2(x+7) = 3(x+5)
2. If necessary:
Combine Terms
3. Apply properties:
Add Subtract
Multiply
Divide
4. To start over:
Reset
Answers
Answer:
x = -5
Step-by-step explanation:
4-2(x+7) = 3(x+5)
Distribute
4 - 2x-14 = 3x+15
Combine like terms
-2x-10 = 3x+15
Add 2x to each side
-2x-10 +2x =3x+2x+15
-10 = 5x+15
Subtract 15 from each side
-10-15 = 5x+15-15
-25 = 5x
Divide by 5
-25/5 = 5x/5
-5 =x
Solve for x
X/6 = 10
A) X = 4
B) X = 10
C) X = 16
D) X = 60
Answers
hi
x/6 = 10
In a equation , you can use every math operation you know as long as you do the same thing on both sides.
Here we have x/6 = 10
But what I want is x .
Here X is split in 6. So I 'm going to multiplicate all by 6 to find the original amount of X
In bold operation that are often not written but that you must understand to do that kind of exercices.
So : x/6 = 10
(x/6) *6 = 10 *6
6x/6 = 60
x = 60
A triangle has base of 7 1/8 feet and height 6 1/4 feet. Find the area of a triangle as a mixed number.
Answers
Answer: The area is 22 17/64.
Step-by-step explanation:
base = 7 1/8 = 57/8
height = 6 1/4 = 25/4
area = 1/2*b*h
= 1/2*57/8*25/4
= 1425/64
= 22 17/64
Which of the following expressions are equivalent?
I. 5a6
II. 30a
III. a6 + a6 + a6 + a6 + a6
IV. 6a5
Answers
Answer:
5а⁶=а⁶+а⁶+а⁶+а⁶+а⁶
~~~~~~~~
Police estimate that 25% of drivers drive without their seat belts. If they stop 6 drivers at random, find theprobability that more than 4 are wearing their seat belts.
Answers
Answer:
%17.80
Step-by-step explanation:
17.8% is the probability that more than 4 are wearing their seat belts.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that Police estimate that 25% of drivers drive without their seat belts.
If they stop 6 drivers at random we need to find the probability that more than 4 are wearing their seat belts.
For each driver stopped, there are only two possible outcomes. Either they are wearing their seatbelts, or they are not.
he drivers are chosen at random, which mean that the probability of a driver wearing their seatbelts is independent from other drivers.
Police estimate that 25% of drivers drive without their seat belts.
This means that 75% wear their seatbelts, so P=0.75
If they stop 6 drivers at random, find the probability that all of them are wearing their seat belts.
[tex]P(X=x)=C_{n,x} p^{x} (1-p)^{n-x}[/tex]
[tex]P(X=6)=C_{6,6} 0.75^{6} (1-0.75)^{0} =0.1780[/tex]
Hence, 17.8% is the probability that more than 4 are wearing their seat belts.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ5
Frances bought a new dress that was discounted by 24%. she used the following expressions to find the price of the dress after the discount was applied
Answers
Answer:
[tex]0.76d[/tex]
Step-by-step explanation:
Given
[tex]Formula = d - (0.24)d[/tex]
Required
Equivalent expression
We have:
[tex]Formula = d - (0.24)d[/tex]
Open bracket
[tex]Formula = d - 0.24d[/tex]
[tex]Formula = 0.76d[/tex]
