Solve the equation.
|x + 4|+ 8 = 5
Answers
|x+4|+8 = 5
or, x+12 = 5
or, x = 5-12
or, x = -7
Answer is -7.
Answer:
x is -7.
x = -7
Related Questions
Determine the value of b for which x = 1 is a solution of the equation shown.
2x + 14 = 10x + b
b=
Answers
Answer
Step-by-step explanation:
solve for b.
2x+14=10x+b
Step 1: Flip the equation.
b+10x=2x+14
Step 2: subtract 10x from both sides.
b+10x+−10x=2x+14+−10x
b=−8x+14
Answer:
b=−8x+14
20 Per Question, Algebra 2, Thanks :)
Answers
The answer to the expression is (x+3)/(x-1)
What is a quadratic expression?You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0
The given expressions are
(x² - 3x - 18) / (x²- 7x +6
(x²-6x +3x +19) / (x²-x -6x +6)
This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}
⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]
This means that [(x+3)(x-6)] / [(x-6)(x-1)]
Dividing by (x-6) to have
Therefore the value of the expression is (x+3)/(x-1)
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Is the equation correct?
Answers
Answer:
Yes. Option A.
Step-by-step explanation:
Hope it helps! =D
name the quadrilateral with 2 pairs of consecutive congruent sides with diagonals that meet at a right angle
Answers
The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.
Mbhalati says he will be charged R180 when making a deposit of notes to the value of R1500 and R500 in coins.Show by means of calculations whether his statement is valid
Answers
Mbhalati's statement is valid.
The charge of R180 is less than the total value of his deposit is R2000.
To determine whether Mbhalati's statement is valid, we need to calculate the total value of his deposit and compare it to the stated charge.
Given information:
Value of notes deposited: R1500
Value of coins deposited: R500
Charge for the deposit: R180
To calculate the total value of Mbhalati's deposit, we add the value of the notes and the value of the coins:
Total deposit value = Value of notes + Value of coins
Total deposit value = R1500 + R500
Total deposit value = R2000
Now, let's compare the total deposit value to the stated charge:
Total deposit value = R2000
Stated charge = R180
Mbhalati's statement would be valid if the stated charge (R180) is equal to or less than the total deposit value (R2000).
Let's check:
Is R180 ≤ R2000?
Yes, R180 is less than R2000.
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Help me pls
ima almost done.
pls help.pls
Answers
Answer:
3.009 first then 3.09 than 3.56 than lastly 3.3
True or False:
8. 40 has an infinite non-repeating decimal expansion
9. The number 0.56 is a rational number
10. 200 and 500 are integers.
11. All numbers with infinite decimal expansions are irrational,
12.
the numbers -8, -3, 5, 17 are all whole numbers,
13. Which of the following is equivalent to 3/89
a) 0.3 b) 0.45
c) 0,6
d) 0.375
I
14. Which of the following numbers is irrational?
) 0.252525 b) 0.875 a) 0.3754152... 0.121212...
15. Which of the following numbers is rational
b)
d) 0.12574
Answers
Answer:
TRUE
Step-by-step explanation:
YOU SUCKvYOU SUCKYOU SUCKYOU SUCKYOU SUCKYOU SUCKYOU SUCKYOU SUCKYOU SUCK
factorise x³-4x²+x+6
Answers
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
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Given that a=3,b=-5 and c=6.Evaluate the following expression. a(3c-b)
79
or
69
or
96
Answers
Answer:
79?
Step-by-step explanation:
Answer:
69 is the right answer
Step-by-step explanation:
By putting the values
The Triple L investment club is considering purchasing a certain stock. After considerable research, the club members determine that there is a 50% chance of making $9,000, a 10% chance of breaking even, and a 40% chance of losing $7,200. Find the expectation of this purchase.
Answers
Answer:
$1,620
Step-by-step explanation:
If you are looking for a way to make some money, you might be tempted by the offer of a purchase that has a positive expectation. But before you jump into it, you should know what expectation really means and how to calculate it. Expectation is not the same as the actual outcome of a purchase. It is just an average of what you can expect to get in the long run, based on the probabilities of different outcomes. Sometimes you might get more than the expectation, sometimes less, and sometimes nothing at all. For example, suppose you have a chance to buy a lottery ticket that costs $7,200 and has a 50% chance of winning $9,000, a 10% chance of winning nothing, and a 40% chance of losing your money. How do you know if this is a good deal or not? You can use the formula for expectation to find out:
Expectation = (50% x $9,000) + (10% x $0) + (40% x -$7,200)
Expectation = (0.5 x 9,000) + (0.1 x 0) + (0.4 x -7,200)
Expectation = 4,500 + 0 - 2,880
Expectation = 1,620
The expectation of this purchase is $1,620. This means that on average, you can expect to make $1,620 from this purchase in the long run. But this does not mean that you will always make $1,620 every time you buy the ticket. Sometimes you might win $9,000 and be very happy. Sometimes you might lose $7,200 and be very sad. And sometimes you might win nothing and be very bored. The expectation is just an average of all these possible outcomes.
So what does this mean for your decision? Well, it depends on how much you value risk and reward. If you are a risk-taker who likes to gamble and doesn't mind losing money sometimes, then you might go for the purchase with a positive expectation. After all, you have a chance to make more money than you spend in the long run. But if you are a risk-averse person who prefers to play it safe and avoid losses, then you might stay away from the purchase with a positive expectation. After all, you have a chance to lose money or break even in the short term.
The choice is yours. But remember: expectation is not reality. It is just a mathematical tool to help you evaluate your options. Don't let it fool you into thinking that you know what will happen in the future. The only thing that is certain is uncertainty, and luckily this is just Mathematics!
✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧
Use traces to sketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.)
y = 3z2 − 3x2
(Write an equation for the cross section at z = −1
using x and y.)
(Write an equation for the cross section at z = 0
using x and y.)
(Write an equation for the cross section at z = 1
using x and y.)
(Write an equation for the cross section at y = −1
using x and z.)
(Write an equation for the cross section at y = 0
using x and z.)
(Write an equation for the cross section at y = 1
using x and z.)
(Write an equation for the cross section at x = −1
using y and z.)
(Write an equation for the cross section at x = 0
using y and z.)
(Write an equation for the cross section at x = 1
using y and z.)
Answers
Answer:
Cross section at z = -1: y = 3(-1)^2 - 3x^2 = -3x^2
Cross section at z = 0: y = 3(0)^2 - 3x^2 = -3x^2
Cross section at z = 1: y = 3(1)^2 - 3x^2 = -3x^2
Cross section at y = -1: x^2 = (3z^2+1)/3; x = sqrt((3z^2+1)/3) or x = -sqrt((3z^2+1)/3)
Cross section at y = 0: x = 0;
Cross section at y = 1: x^2 = (3z^2-1)/3; x = sqrt((3z^2-1)/3) or x = -sqrt((3z^2-1)/3)
Cross section at x = -1: z^2 = (3y+1)/3; z = sqrt((3y+1)/3) or z = -sqrt((3y+1)/3)
Cross section at x = 0: z = 0;
Cross section at x = 1: z^2 = (3y-1)/3; z = sqrt((3y-1)/3) or z = -sqrt((3y-1)/3)
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
Volume = (1/3) * base area * height
In this case, the base of the pyramid is a square with a side length of 10.6 inches, so the base area can be calculated as:
Base area = side length * side length
Let's calculate the base area first:
Base area = 10.6 in * 10.6 in
Next, we'll substitute the values into the volume formula:
Volume = (1/3) * (10.6 in * 10.6 in) * 12.3 in
Calculating this expression will give us the volume of the pyramid. Rounding the answer to the nearest tenth of a cubic inch will provide the final result.
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
Answers
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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Patel made a deposit into an account that earns 5%simple interest. After 10 years Patel had earned $1500 in interest. How much was Patel’s initial deposit?
Answers
Answer:
Patel’s initial deposit was $3000
Step-by-step explanation:
Given:
Simple interest (S.I.) = 5%
Time period (t) = 10 years
Interest earned (r) = $1500
To find: Patel’s initial deposit
Solution:
Simple interest is a method of calculating the interest charged on the principal, or original amount of a loan.
Let p denotes original amount of a loan
\(S.I.=\frac{p\times r\times t}{100}\\\Rightarrow 1500=\frac{p\times 5\times 10}{100}\\\Rightarrow p=\frac{1500\times 100}{5\times 10}\\=3000\)
So, Patel’s initial deposit was $3000
A 10 kg ball moves at a speed of 15m/s. The ball collides with a wall causing it to rebound in the opposite direction at a speed of 23 m/s.
Calculate the impulse on the ball?
Answers
Answer:
The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.
The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.
So, the impulse on the ball is -80 kg m/s.
Getsteludydykoydkzkysdykykykd.
Don’t give me no links solve it pls
Answers
Answer:
C ) 3
Step-by-step explanation:
Step 1 : 1/4 ( 16 + g ) - h
Step 2 : 1/4 ( 16 + 4 ) - 2
Step 3 : 1/4 ( 20 ) - 2
Step 4 : 5 - 2
Step 5 : 3
Use the drop-down menus to complete each statement about the functions f and g.
Note: Exponential functions are of the form f(x) = abx.
The function f is (linear, exponential, neither)
.
Consecutive (differences, quotients)
are (constant, nonconstant )
.
The function g is (options are same for the rest)
.
Consecutive
are
.
Answers
The function f(x) is the linear and the function g(x) is the exponential. Then the equations are f(x) = 6x and g(x) = 3(2)ˣ.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The functions f(x) and g(x).
The table is shown below.
Let the function f(x) be the linear function and the function g(x) be the exponential. Then we have
Then the function f(x) will be
f(x) = mx + c
Then we have
12 = 2m + c
6 = m + c
Then we have
m = 6 and c = 0
Then the equation will be
f(x) = 6x
Then the function g(x) will be
g(x) = abˣ
Then we have
48 = ab⁴
24 = ab³
We have
a = 3 and b = 2
Then the function g(x) will be
g(x) = 3(2)ˣ
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The length of a rectangle is 10 times its width. If the area of the rectangle is 52 yd2, find its approximate width.
Answers
Answer: approximate width= 5.2 yd
Step-by-step explanation:
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
20.4 days
22.5 days
25.6 days
30.1 days
Answers
Let's assume that B can do the job alone in x days.
Then, according to the question, A can do the same job alone in (1/3)x days.
Also, we know that A takes 60 days less than B to finish the job, so:
(1/3)x = x - 60
Solving for x, we get:
x = 90
Therefore, B can do the job alone in 90 days and A can do the same job alone in (1/3) * 90 = 30 days.
To find out how long they take to finish the job together, we use the formula:
(AB)/ (A+B)
where AB is the product of their individual times and A+B is their combined time.
Plugging in the values, we get:
(30 * 90)/(30+90) = 22.5
Therefore, working together, they can finish the job in 22.5 days.
Answer: Option B - 22.5 days
The height of a rocket a given number of seconds after it is released is modeled by h(t)=-16t+32t+10 what does t represent?
Answers
Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 29 bags of leaves. How
much money did he earn
Answers
Answer: he earned $145
Step-by-step explanation: jus cuz I think so
Answer:
58
Step-by-step explanation:
5h-6-8+7h what’s the answer ?
Answers
3. Show that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Answers
Answer:
Step-by-step explanation:
To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.
Let's apply the Luhn algorithm to the given credit card number:
Step 1: Starting from the rightmost digit, double every second digit
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|
Step 2: If the doubled value is greater than 9, add the digits of the result
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |
Step 3: Add up all the digits in the credit card number, including the check digit
5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61
Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.
61 is not divisible by 10, therefore the given credit card number is invalid.
Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
14.62 + (-11.302)
what is the answer?
Answers
Answer:
Simplifying
14.62 + (-11.302) = 0
14.62 + (-11.302) = 0
Combine like terms: 14.62 + (-11.302) = 3.318
3.318 = 0
Solving
3.318 = 0
Couldn't find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.
Hope this helps!
Have a great day!
you can perform 6 push ups in 24 seconds. wrote and graph an equation that represent the relationship between time and number of push up. at this rate how many pushups can you perform in 2 minutes
Answers
At the given rate, I can perform 480 pushups.
Your goal should be to complete 100 push-ups in 2 minutes (this is a standard for elite soldiers).
White defines that as 10 to 20 push-ups if your max is 25 reps, 2 sets of 10 to 20 if your max is 25 to 50 reps, and 2 to 3 sets of 10 to 20 if your max is greater than 50 push-ups. "If you're doing a lot of sets and hitting a lot of volume, I'd try to do them every other day.
24/6 = 4
meaning they are doing 4 push ups per second, this is your slope
the equation of your line is y = 4x, you can graph this using a table of values
2 minutes = 120s
y = 4(120)
y = 480 push ups
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Someone help me with this, please?
Answers
Answer:
y = 18/11 x + 45/11
Step-by-step explanation:
Slope-intercept form is: y = mx + b
Let's use point (3, 9) as (x_1, y_1).
x_1 = 3; y_1 = 9
The slope, 18/11, is correct, so m = 18/11.
y - y_1 = m(x - x_1)
y - 9 = (18/11)(x - 3)
y = 18/11 x - 3(18/11) + 9
y = 18/11 x - 54/11 + 99/11
y = 18/11 x + 45/11
You are visiting the rainforest, but unfortunately your insect repellent ran out. As a result, at each minute, with probability 0.5, one mosquito lands on your neck, and with probability 0.5, no mosquito lands. If a mosquito lands, it will bite you immediately with probability 0.2, or leave immediately with probability 0.8. a) What is the expected time between successive bites
Answers
Answer:
we will assume a variable X for time which is time between two successive bites and time until next bite.
X = (time between successive mosquito bites) = (time until the next mosquito bite).
According to the Bernoulli process, the bites occur parameter y = (0.5)(0.2) = 0.1.
X is a geometric random variable, so
E[X] = 1/p = 10
and
var(X) = (1 − p)/p^2 = (1 - 0.1)/0.1^2 = 0.9 / 0.01 = 90
one of the roots of the equation 27x^2 + bx + 8 =0 is known to be the square of the other. Find b
Answers
Answer: Your going to have to correct your placing of your numbers.
-12 is value of b for equation 27x²+bx+8=0
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
Given,
One of the roots of the equation 27x² + bx + 8 =0 is known to be the square of the other.
We need to find the value of b.
Let one root is a and the other root is a².
(x-a)(x-a²)=0
x²-xa²-ax+a³=0
x²-x(a²+a)+a³=0
Now multiply by 2
x²-2x(a²+a)+2a³=0
x² + bx + 16=0
2a³=16
Divide both sides by 2
a³=8
a=2
27x²-2x(a²+a)+2a³=0
27x²-2x(4+2)+16=0
27x²-2x(6)+16=0
27x²-12x+16=0
b=-12
Hence, -12 is value of b for equation 27x²+bx+8=0
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What is the sum of 52.07+8.43
Answers
Answer:
60.5
Step-by-step explanation:
Ehhh 52.07+8.43=60.5?
ANSWER ASAP PLS!!!!!
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
f(n) = 10(1.02)n
Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)
Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)
Answers
Answer:
see below
Step-by-step explanation:
f(n) = 10(1.02)^n
Part A
Let f(n) = 11.04
11.04 = 10 * 1.02 ^n
Divide each side by 10
11.04/10 = 1.02^n
1.104 = 1.02^n
Taking the log of each side
log 1.104 = log 1.02^n
We know log a^b = b log a
log 1.104 = n log 1.02
log 1.104 / log 1.02 = n
4.99630=n
Rounding n to 5
The domain should be 0 ≤n≤5
Part B
f(n) = 10(1.02)^n
The function is in the form y =a b^x where a is the y intercept
The y intercept is 10. This is the value when n =0 days.
Part C
To find the average rate of change
f(5) - f(1)
-----------
5-1
f(5) = 11.04
f(1) = 10 *1.02 =10.2
11.04 - 10.2
-----------
5-1
.84
-----
4
.21 cm per day
The average rate of growth over the 4 days is .21 cm per day
Answer:
Part A: A reasonable domain to plot the growth of the function would be: 0 < n < 5.
Part B: The y-intercept of the graph of the function f(n) represents the height of the plant in 0 days when it first began.
Part C: The average rate of change of the function from n = 1 to n = 5 is 0.84 or 0.21cm per day. It represents the amount of growth for the plant over 4 days.
, Hope this helps :)
Have a great day!!