Solve 3(x-5)=18
10 points help plz
Answer:
x=1
Step-by-step explanation:
To solve this question we will have to open the bracket first
So let's solve
3(x-5)=18
Open the bracket
3x-15=18
Add 15 to both sides
3x=3
Make x the subject of formula by dividing both sides by 3
x=1
So the final answer is 1
Answer:
x = 11
Step-by-step explanation:
First Expand the Brackets
3x-15 = 18
Then add 15 onto both sides
3x = 33
Divide both sides by 3
x = 11
What is the image of the point (5, -3) after a reflection over the line y = x?
O (3,-5)
O (-5, 3)
O (-3,5)
o (5, 3)
Answer:
(-3,5)
Step-by-step explanation:
If the slope of y=x is 1, then you have to reflect over that line with a negative slope. It should reflect over to be (-3,5).
Answer:C
Step-by-step explanation:have a nice day!
Mathieu is finding the x-intercepts of the function
f(x) = x2 + 4x + 3. His work is shown below.
Which error did Mathieu make?
He factored incorrectly.
He did not use the constant as the x-intercept.
O He set the factored expressions equal to each
other.
1.0 = x2 + 4x + 3
2. 0 = (x + 3)(x + 1)
3. x + 3 = x + 1
4. X = X-2
5.0 = -2
6. There are no x-intercepts.
O He incorrectly solved the equation x + 3 = x + 1.
Answer:
Step-by-step explanation:
He set the factored expressions equal to eachother
Mathieu made the error of setting the factored expressions equal to each other. In step 3, he incorrectly wrote x + 3 = x + 1. This is not true, and it led him to the incorrect conclusion that x = -2.
What is standard error?
It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.
Suppose that we're given that:
Population standard deviation =[tex]\sigma[/tex]
Size of sample we're working on = n
Then, the standard error can be calculated as:
[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]
where SE denotes the standard error.
We are given that;
f(x) = x2 + 4x + 3
Now,
To find the x-intercepts of the function f(x) = x^2 + 4x + 3, you need to set the function equal to zero and solve for x:
x^2 + 4x + 3 = 0
You can factor this quadratic equation as:
(x + 3)(x + 1) = 0
Then, you can use the zero product property to find the values of x that make the equation true:
x + 3 = 0 or x + 1 = 0
Solving for x in each equation gives:
x = -3 or x = -1
Therefore, after finding the error step 3 will be f(x) = x^2 + 4x + 3 are (-3, 0) and (-1, 0).
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the function f(x)=10(2)^x models an insect population after x weeks. to the nearest whole number, what will be the population after 4 wekks
The insect population after 4 weeks will be 160 to the nearest whole number.
The student is asking about the function f(x) = 10(2)ˣ, which models an insect population after x weeks.
To find the population after 4 weeks, we need to substitute x with 4 in the function:
f(4) = 10(2)⁴
Now we calculate the value:
f(4) = 10(16) = 160
So, to the nearest whole number, the insect population after 4 weeks will be 160.
A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.
(a) Find a formula for the number of bacteria at time t.
(b) Find the number of bacteria after one hour.
(c) After how many minutes will there be 50,000 bacteria?
Answer:
a) [tex]y=12000(2)^{\frac{t}{50}}[/tex]
b) Approx. 27,569 bacteria
c) About 103 minutes
Step-by-step explanation:
a)
This will follow exponential modelling with form of equation shown below:
[tex]y=Ab^{\frac{t}{n}}[/tex]
Where
A is the initial amount (here, 12000)
b is the growth factor (double, so growth factor is "2")
n is the number of minutes in which it doubles, so n = 50
Substituting, we get our formula:
[tex]y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}[/tex]
b)
To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.
Remember, t is in minutes, so
1 hour = 60 minutes
t = 60
Substituting, we get:
[tex]y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76[/tex]
The number of bacteria after 1 hour would approximate be 27,569 bacteria
c)
To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:
[tex]y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103[/tex]
After about 103 minutes, there will be 50,000 bacteria
37) What is the value of mx
if y=mx+b?
Answer:
the slope
Step-by-step explanation:
you and a friend play a game twice. what is the probability that you win both games? P(win) = 1/2
Answer:
1/4
Step-by-step explanation: 1/2*2=1/4
The probability of winning two games in a row, with each win having a 1/2 chance, is 1/4 or 25 percent, calculated by multiplying the individual probabilities for each game using the product rule.
The probability that you win a game is given as 1/2, and since the games are independent, the probability of winning both games in a row is found by multiplying the probabilities of each individual game. Using the product rule, P(win game 1 and game 2) = P(win game 1) × P(win game 2).
Since P(win) = 1/2 for each game, we simply calculate:
P(win both games) = (1/2) × (1/2) = 1/4.
Therefore, the probability of winning both games is 1/4 or 25 percent.
HELP ASAP!!!!!!!! IF YOU CAN I WILL GIVE 5 STARS!!!!!!!!!
What is the volume of a right rectangular prism with length 10 units, width 5 units, and height 3 units?
18 units³
45 units³
80 units³
150 units³
Answer:
150 units³
Step-by-step explanation:
l * w * h = volume, so...
10*5*3 = volume
150 = volume
Answer: its 150 i took the test
Step-by-step explanation:
Janice is building a fence around a portion of her rectangular yard. The length of yard she will enclose is x and the width is 2 x^2 − 99x + 6 where the measurements are in feet. If the length of the enclosed yard is 50 feet and the cost of fencing is $13 per foot, how much will Janice need to spend on fencing? Janice will need to spend $ on fencing.
Janice will need to spend $2756.00 on fencing.
Explanation:Set up the equation for the width:
Width = 2x^2 - 99x + 6 (given in the problem)
Substitute the known length (50 feet) into the equation:
50 = 2x^2 - 99x + 6
Solve the quadratic equation for x (length of the wider side):
This equation can be solved using various methods like factoring, quadratic formula, or online calculators. For example, using an online calculator, we find two solutions: x ≈ 1.59 or x ≈ 49.41.
Since the length cannot be a fraction of a foot, choose the larger solution:
x ≈ 49.41 feet
Calculate the total perimeter of the enclosed area:
Perimeter = 2 (length + width) = 2 (50 feet + 49.41 feet) ≈ 198.82 feet
Find the total cost of fencing:
Total cost = Perimeter * Cost per foot = 198.82 feet * $13/foot ≈ $2756.00
Therefore, Janice needs to spend $2756.00 on fencing to enclose the specified portion of her yard.
which of the following angles is coterminal with one that measures 98 degrees
Answer:
See below
Step-by-step explanation:
You have not provided the options.
But I will explain how you can work it.
Coterminal angles are two or more angles that have the same terminal side in standard.
If you want to find an angle that is coterminal with 98°, you keep adding or subtracting 360°.
[tex]98 + 360 = 458 \\ 98 + 2 \times 360 = 818[/tex]
[tex]98 - 360 = - 262[/tex]
Therefore 488°, 818°, -262° are examples of angles that are coterminal with 98°
Drag each equation to show if it could be a correct first step to solving the equation 2(x + 7) = 36.
A 2x + 14 = 36
B (2 • x) + (2 • 7) = 36
C 2x + 7 = 36
D 2(x + 7) = 72
E x + 14 = 36
F x + 7 = 18
Yes No Not Enough Information
Answer:
Yes: A, B, F
No: C, D, E
Step-by-step explanation:
2(x + 7) = 36
First divide both sides by 2
(x + 7) = 36/2
x + 7 = 18
Or
2(x + 7) = 36
2x + 14 = 36
Or,
2(x) + 2(7) = 36
The equations that represent the correct first step to the given equation should be Yes for options A, B, F and No for options C, D, E
Calculation of an equationSince the given equation is 2(x + 7) = 36
Here we first divide both sides by 2
So,
(x + 7) = 36 ÷ 2
x + 7 = 18
Or
2(x + 7) = 36
2x + 14 = 36
Or,
2(x) + 2(7) = 36
Therefore, The equations that represent the correct first step to the given equation should be Yes for options A, B, F and No for options C, D, E
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Which table represents the recursive formula?
an = a(n-1) + 6
To identify a table representing the recursive formula an = a(n-1) + 6, one should look for a pattern where each term is 6 greater than the previous one.
Explanation:The recursive formula an = a(n-1) + 6 is a mathematical way of defining a sequence that is created by adding 6 to the previous term. To find out which table represents this formula, look for a pattern where each term is 6 greater than the one before it. For example, if the first term is 2, the second term should be 2 + 6 = 8, the third term should be 2nd term + 6 = 8 + 6 = 14, and so on. By following this pattern, you can identify the table that accurately represents the recursive formula.
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What is the measure of the inscribed angle ABC if the measure of the arc, which this angle intercepts is:
48°
9514 1404 393
Answer:
24°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of the intercepted arc.
48°/2 = 24°, the measure of ∠ABC
URGENT! What is the Range of the function y= 7cos(9x) ?
Answer:
-7 ≤ f(x) ≤7
Why:
The set of values of the dependent variable for which the function is good.
If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (f•g)(10)?
37
97
126
606
Hence the correct answer is Option (A) i.e. 37
What is Composition of a Function?The composition of a function is an operation where two functions say f and g generate a new function.
How to Solve:Given,
[tex]f(x)= x^2+1[/tex]-------------------(1)
and, [tex]g(x)= x-4[/tex]
Now ,
[tex]fog(x)=f[g(x)][/tex]
[tex]=f(x-4)[/tex]
[tex]=(x-4)^2+1[/tex] (from 1)
[tex]=x^2-8x+16[/tex][tex]+1[/tex]
[tex]fog(x)=x^2-8x+17[/tex]-----------------(2)
Now , we need to find [tex]fog(10)[/tex]
so, put x=10 in equation 2, we get:
[tex]fog(10) = 10^2 -8(10)+17\\fog(10) = 100-80+17\\fog(10) = 37[/tex]
Hence, the answer is 37
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Which answer shows 0.05 written in scientific notation?
0.5x 10-1
5x10-2
5x10-
5x102
0.05 written in scientific notation is 5 * 10^-2
How to express as scientific notation?The number is given as:
Number = 0.05
Multiply by 1
Number = 0.05 * 1
Express 1 as 100/100
Number = 0.05 * 100/100
Evaluate the product
Number = 5 * 1/100
Express 1/100 as an exponent
Number = 5 * 10^-2
Hence, 0.05 written in scientific notation is 5 * 10^-2
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The correct scientific notation for the decimal 0.05 is 5 x 10^-2, which is the option that correctly shows this number in scientific notation.
The question asks for the correct scientific notation of the decimal 0.05. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10. It's a way of scaling down or up numbers to make them easier to work with, especially when dealing with very large or very small values.
To write 0.05 in scientific notation, we identify a number between 1 and 10 followed by a power of 10 that will put the decimal in the correct place. We see that 0.05 is the same as 5 moved two decimal places to the left. Therefore, in scientific notation, we write this as 5 x 10-2.
The option showing 0.05 written correctly in scientific notation is 5 x 10-2.
Question 6 of 40
5 Points
Gina's taxable income last year was $62,200. According to the tax table
below, how much tax does she have to pay if she files with the "Single
status?
62,000
Answer:
11,744
Step-by-step explanation:
Answer:
11744
Step-by-step explanation:
Part B
What is the number of whole loaves of each type of bread Hayley should make in order to havo the best
amount of the 15 cups of flour and 9 eggs left over?
Loaves of zucchini bread:?
Loaves of banana bread:?
Answer:
Loaves of zucchini bread = 3
Loaves of banana bread = 3
Completed question;
What is the number of whole loaves of each type of bread Hayley should make in order to havo the best
amount of the 15 cups of flour and 9 eggs left over?
Given that;
Each Banana bread requires 3 cups of flour and 1 egg
And Each zucchini bread requires 2 cups of flour and 2 eggs.
Loaves of zucchini bread:?
Loaves of banana bread:?
Step-by-step explanation:
Representing the problem in equation form;
3b + 2z ≤ 15 .......1
b + 2z ≤ 9 .......2
Where;
b is the number of banana bread to be made and
z is the number of zucchini bread to be made
To solve, subtract equation 2 from 1;
3b-b + 2z-2z ≤ 15-9
2b ≤ 6
b ≤ 6/2
b ≤ 3
Substituting into equation 2
3 + 2z ≤ 9
2z ≤ 9 - 3
2z ≤ 6
z ≤ 6/2
z ≤ 3
Loaves of zucchini bread = 3
Loaves of banana bread = 3
3 whole loaves of each type of bread should be made
Loaves of zucchini bread: 3Loaves of banana bread: 3How to determine the number of whole loaves of each bread?Represent the banana bread with x, and the zucchini bread with y.
Using the complete question as a guide, we have the following equations
3x + 2y = 15
x + 2y = 9
Subtract both equations
2x = 6
Divide both sides by 2
x ≤ 3
Recall that:
x + 2y = 9
So, we have:
3 + 2y = 9
Subtract 3 from both sides
2y = 6
Divide both sides by 2
y = 3
So, we have:
x = y = 3
Hence, 3 whole loaves of each type of bread should be made
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x+3y>-3 and y<1/2x+1
Answer:
well i have no idea what ur asking but i think 6+3*2>-3 and 98<1/2*2+1
Step-by-step explanation:
what is the equation of the graphed line written in standard form
Answer:
First you'll find the equation of the graphed line in slope-intercept form, y = mx+b, and then from there we'll convert it into standard form, ax+by = c. To find the slope of the line you could either use the two points on the line or just look and see.
Step-by-step explanation:
Help ASAP PLEASE I WILL PUT BRAINLIEST AND 30 POINTS!
Answer:60
Step-by-step explanation: BECAUSE YOU ARE A GREAT PERSON.
Answer:
i dont know sorry
Step-by-step explanation:
i dont know sorry
A diver descends 2 feet per minute. How deep below sea level is it after 40 minutes? (shows the process).
Answer:
80 feet below sea level
Step-by-step explanation:
We know that the rate of the diver is 2 ft / min. The time we are given is 40 minutes, so to find out how many feet the diver has descended, we multiply the rate by the time:
(2 ft / min) * (40 min) = 80 ft
Thus, the diver is 80 feet below sea level after 40 minutes.
Hope this helps!
The difference between a number squared and 14 is 50. Can you just write out as equation pls
Answer:
x^(2)-14=50
Step-by-step explanation:
The word problem 'The difference between a number squared and 14 is 50' translates to the quadratic equation x^2 - 14 = 50 in mathematical terms.
Explanation:To form an equation, let's denote the unknown number as x. The phrase 'a number squared' can be written as x2, and 'the difference between a number squared and 14' translates to x2 - 14. According to the problem, this difference equals 50. Therefore, the equation representing this situation is:
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Morgan rewrote the expression 90 + (10 + 4.8) as (90 + 10) + 4.8. How will this change the work that is needed to evaluate the expression?
4.8 is now multiplied by 90 and 10.
4.8 is now added to 10 before adding 90.
4.8 is now added after finding the sum of 90 and 10.
4.8 is now added to both 90 and 10.
Answer:
Answer is c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
just did it
Using the diagram below, calculate the length of BO.
25 in
4 in
7 in
5 in
Answer:
the answer is 5 inches
Step-by-step explanation:
so for this problem I used the pythagorean theorem which is a^2 + b^2 = c^2.
Which set of measurements could be the side lengths of a right triangle?
A: 10cm, 12cm, 16cm.
B: 20cm, 21cm, 29cm.
C: 30cm, 32cm, 42cm.
D: 40cm, 42cm, 56cm.
I need help and NOW
Answer:
a
Step-by-step explanation:
Lliana rotated trapezoid WXYZ 180 about the origin
Answer: it’s A
Step-by-step explanation:
I took the edge test
Simplify: (4d + 7e – 3f) + (5d – 2e +9f)
Answer:
9d+5e+6f
Step-by-step explanation:
(4d + 7e – 3f) + (5d – 2e +9f)
4d+5d+7e-2e-3f+9f
9d+5e+6f
Answer:
9d+5e+6f
Step-by-step explanation:
(happy to help)
What is the graph of 3x + 5y = –15? A coordinate plane with a line passing through (negative 5, 0) and (3, 0). A coordinate plane with a line passing through (0, 3) and (5, 0). A coordinate plane with a line passing through (negative 5, 0) and (0, 3). A coordinate plane with a line passing through (0, negative 3) and (5, 0).
Answer:
its A
Step-by-step explanation:
i got it right
Answer:A
Step-by-step explanation:
what is the best estimate for 19% of 205%
Answer:
19% of 205 = 38.95
Hope this helps love!