Answer:
x= -71
y= 35
Step-by-step explanation:
To solve this problem you have to creat two different equations.
The first would just be the sum of the two numbers. Since they are two different numbers you will need to pick two different variables to represent them. I chose x & y.
x+y= -36
Your second equation is based off of the second sentence. It tells you that one of your numbers(I'm going to use y) needs to be subtracted by 106 in order to equal the other number (x).
x= y-106 This is how you'd write it out. Since we have one variable by itself we can use substitution to solve for y. This means you take everything (in the second equation only) on the right side of the equal side of the equal sign adn plug it in for x in your first equation.
(y-106)+y= -36 Now solve for y by adding your like terms together. The parenthesis are only there to show you what I replaced x with.
2y-106= -36 Now add the 106 over to the other side.
+106 +106
2y=70 Finally divide by 2 to get what y equals.
y=35
To find x all you do is plug 35 into one of your equations. I'm goignto use the first one to save time.
x+35= -36 Subtract the 35 over and you'll have x.
x= -71.
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)
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:
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:
37) What is the value of mx
if y=mx+b?
Answer:
the slope
Step-by-step explanation:
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.
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
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.
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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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 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
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 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!
Lliana rotated trapezoid WXYZ 180 about the origin
Answer: it’s A
Step-by-step explanation:
I took the edge test
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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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!
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
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
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:
If r is an integer greater than 1, what is the value of (−1)r +1 if:
a) r is an odd integer
b) r is an even integer
I NEED THE ANSWER IN 30 MINS FOR SCHOOL! HELP!!!!!!!!!!!!!!!!!!!!!
Thanks in advance
Answer:
a is 0, b is 2
Step-by-step explanation:
Ik its late, but it was pretty ez. Just plug in dem numbers.
a. In the case when r is an odd integer so it should be zero.
b. In the case when r is an even integer so it should be two.
Calculation of the value:a.. In the case when r is an odd integer
So,
[tex]= (-1)^r + 1[/tex]
= -1 + 1
= 0
b. In the case when r is an even integer
So,
= 1 + 1
= 2
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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:
Find the volume of the prism.
Answer:
168 units^3
Step-by-step explanation:
The volume of triangular prism is calculated like this : 1/2 × b×h×l (b: base, h: height, l: length)
1/2 × 7 × 6 × 8 = 168 units^3
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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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.
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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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
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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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.
A certain television is advertised as a 10-inch TV (the diagonal length). If the width of the TV is 6 inches, how many inches tall is the TV?
Answer:
8 inches
Step-by-step explanation:
Using Pythagorean theorem you know a^2+b^2=c^2
a^2+b^2=c^2 =
6^2+b^2=10^2=
36+b^2=100
100-36=b^2
64=b^2
64=8^2
The Tv is 8 inches tall
James is a welder who earns $18 per hour. He works 8 hours per day, Monday through Friday. How much does James earn in one week?
Answer:
720 Dollars a Week
Step-by-step explanation:
18x8x5
since he makes 18 dollars an hour you multi that by 8 because 8 hours
then you have to multiply that by 5 because he works 5 days a week mon-fri
Rayna found the curve of best fit for a set of data that represents an exponential relationship. The correlation coefficient for her curve of best fit is r= 0.274
The first is growth or decay. The second is is or is not. Which one is correct?
Answer:
The data set shows exponential GROWTH
raynas curve IS NOT a good fit for the data set
Step-by-step explanation:
Believe
Final answer:
With a correlation coefficient of r = 0.274, Rayna's exponential model is not a strong fit, and without the sign of the rate parameter, we cannot determine whether it represents growth or decay.
Explanation:
When Rayna found the curve of best fit for a set of data representing an exponential relationship with a correlation coefficient of r = 0.274, two aspects can be deduced. First, whether the relationship reflects growth or decay, and second whether the model fits well or not. The value of r indicates the strength and direction of the linear relationship between two variables.
In the context of exponential relationships, if the parameter representing the rate of change (often denoted by 'b') is positive, it indicates exponential growth; if the parameter is negative, it signifies exponential decay. Since we do not have the explicit sign of the parameter, we cannot directly conclude whether Rayna's data is demonstrating growth or decay.
The value of the correlation coefficient r = 0.274 is relatively low and thus, Rayna's exponential model is not a strong fit for the data. This is because the value of r is far from 1, and a higher correlation coefficient would suggest a stronger linear relationship between variables.