Answer:
(1,3) (2,4)
Step-by-step explanation:
YOu need two points to make a like.
If y = x+2; then you substitute any value for x, then add two.
For example:x=1, y=x+2;y=1+2;y=3; so (1,3)
Another: x=2, y=x+2; y=2+2, y=4.
So, two points are (1, 3) and (2,4)
Find the product. Write your answer in scientific notation.
Answer:
5.6 x \(10^{4}\)
Step-by-step explanation:
7 x 8 = 56
\(10^{-2}\) x \(10^{5}\) = \(10^{3}\)
56 x \(10^{3}\)
5.6 x \(10^{4}\)
Answer:
The answer is
\(5.6 x 10^{4}\)
2.3a + 0.8a
how do i solve this
Answer:
2.3a + 0.8a =
2.3
+ 0.8
________
3.1
________
So therefore, 2.3a + 0.8a = 3.1a
Please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:pretty sure answer is 7- -2 =7+2
Step-by-step explanation:
7- -2=9
7+2=9
If a man invests $1000 in a savings account and another $1000 in a fixed deposit. If the savings account pays 4.5% interest per annum and the fixed deposit pays 6% interest per annum, find the total amount after 1 year of investment. Please I need a quick answer to this!
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Savings account:
PV= $1,000
n= 1
i= 0.045
Fixed Deposit:
PV= $1,000
n= 1
i= 0.06
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
Savings account:
FV= 1,000*1.045^1
FV= $1,045
Fixed deposit:
FV= 1,000*1.06^1
FV= $1,060
Select the correct answer.The product of two integers is 72. One number is two less than five times the other.Which of the following equations could be used to find one of the numbers?
Solution:
Let the two integers be x and y;
\(\begin{gathered} xy=72 \\ \\ y=5x-2 \end{gathered}\)Thus;
\(\begin{gathered} x(5x-2)=72 \\ \\ 5x^2-2x=72 \end{gathered}\)CORRECT OPTION: B
Which expression is not equivalent to
Answer:
B i think I'm kinda sure tho
b
What is 12 1/2 X 4? I rlly need to know
SOLUTION
We want to solve
\(12\frac{1}{2}\times4\)To do this, change the mixed fraction into improper fraction.
We say, 2 multiplied by 12, then plus 1. We write the result as the numerator over the denominator which is 2. That is
\(\begin{gathered} 12\frac{1}{2}\text{ to improper fraction becomes } \\ 2\times12=24 \\ 24=1=25.\text{ this becomes } \\ \frac{25}{2} \end{gathered}\)We then multiply by 4, we have
\(\begin{gathered} \frac{25}{2}\times4 \\ This\text{ becomes } \\ \frac{25}{2}\times\frac{4}{1} \\ 2\text{ cancels itself is 1, and into 4, it is 2. So we have } \\ \frac{25}{1}\times\frac{2}{1} \\ =\frac{25\times2}{1\times1} \\ =\frac{50}{1} \\ =50 \end{gathered}\)Hence the answer is 50
What is the equation of the line that passes through the point (- 2, - 1) and has a slope of 5/2
Answer:
\(equation \: of \: a \: line \\ y - y1 = m(x - x1) \\ y - ( - 1) = \frac{5}{2}(x - ( - 2)) \\ 2(y + 1 )= 5(x + 2) \\ 2y + 2 = 5x + 10 \\ 2y - 5x - 8 = 0\)
when x does not have full rank, let's see why px =
When x does not have full rank, it means that the columns of x are not linearly independent. This means that there exists a non-zero vector b such that xb = 0. Let's see why px = x when this is the case.
First, let's recall what the projection matrix p is. The projection matrix p is defined as p = x(xTx)-1xT. This matrix projects any vector onto the column space of x.
Now, let's see what happens when we multiply px:
px = x(xTx)-1xTx
Since xTx is a scalar, we can write this as:
px = x(xTx)-1(xTx)
px = x
So we can see that px = x when x does not have full rank. This is because the projection matrix p projects any vector onto the column space of x, and when x does not have full rank, the column space of x is the same as the column space of px.
You can read more about linearly independence at https://brainly.com/question/10725000
#SPJ11
Select all equations that are equivalent to (5x+6)2=3−(4x+12) .
a. 5x+6=3−(4x+12)
b. (5x+6)2=−4x−9
c. 52x+3=3−(4x+12)
d. (5x+6)2=−4x+15
e. 5x+6=−8x−18
Answer:
B
Step-by-step explanation:
ita only b .............
The equations that are equivalent to (5x + 6)2 = 3-(4x +12) is (5x+6)2=−4x−9.
Option B is correct.
The very first thing to do is to solve the expression in the given question.
SO,
(5x + 6)2 = 3-(4x +12)
Open brackets
10x + 12 = 3 - 4x - 1210x + 12 = -4x - 9Collect like terms
10x + 4x = -9 - 1214x = -21x = -21/14
Now, we will solve each of the given options to determine which one corresponds to the solution to the expression above.
Starting with Option (a)
5x + 6 = 3 - (4x + 12)
Open brackets
5x + 6 = 3 - 4x - 125x + 6 = -4x - 95x + 4x = -9 - 69x = -15x = -15/9Option (a) is incorrect
b.
(5x + 6 )2 = -4x - 9
Open brackets
10x + 12 = -4x -9Collect like terms10x + 4x = -12 -914x = -21x = -21/14Option (b) is correct
(c.)
52x + 3 = 3 - (4x + 12)
Open brackets
52x + 3 = 3 - 4x - 1252x + 3 = -4x - 952x + 4x = -9 - 356x = - 12x = -12/56x = -3/14Option (c) is incorrect
(d)
(5x + 6)2 = -4x + 15
Open brackets
10x + 12 = -4x + 1510x + 4x = -12 + 1514x = 3x = 3/14Option (d) is incorrect
(e)
5x + 6 = -8x - 18
Collect like terms
5x + 8x = -18 - 613x = - 24x = -24/13Option (e) is incorrect
Therefore, we can conclude that the correct equation equivalent to the given expression in the question can be seen in Option b.
Learn more about algebraic expression here:
https://brainly.com/question/11227332?referrer=searchResults
Find the midpoint of the segment with the following endpoints.
(8,4) and (2,7)
Answer: The midpoint is (5,5.5)
Step-by-step explanation:
Adding X1 And X2 equals 10. Then the x variables have to be divided which is 10 divided 2 equals 5, the 5 represents the x value of the x part of midpoint. (5,?)
Adding Y1 and Y2 equals 11. Then the y variables have to be divided by 2 which is 11 divided by 2 equals 5.5, the 5.5 represents the y value of the midpoint. (?,5.5)
The final answer is Midpoint = (5,5.5)
The wheels on Jackson’s dirtbike measures 19 inches in diameter how many revolutions will the wheel make when Jackson rides for 500 feet use 3.14 for pie
To solve this problem, we need to use the formula:
Number of revolutions = Distance traveled / Circumference of wheel
First, we need to find the circumference of the wheel using the formula: Circumference = diameter x pi
To calculate the number of wheel revolutions for Jackson's dirtbike, we'll need to use the diameter of the wheel and the distance he rides. Here's a step-by-step explanation:
1. Convert the diameter of the wheel (19 inches) to feet: 19 inches × (1 foot / 12 inches) = 1.583 feet
2. Calculate the circumference of the wheel using the diameter and the value of pi (3.14): Circumference = Diameter × pi = 1.583 feet × 3.14 = 4.97062 feet
3. Now, divide the total distance ridden (500 feet) by the circumference of the wheel to find the number of revolutions: Revolutions = Distance / Circumference = 500 feet / 4.97062 feet ≈ 100.59 revolutions
The wheel on Jackson's dirtbike will make approximately 100.59 revolutions when he rides for 500 feet.
To learn more about circumference : brainly.com/question/28757341
#SPJ11
Simplify the following expression in Scientific Notation. (1.8x10⁹) (6.7 x 10¹²)
a x 10^b
a=?
b=?
the following expression i.e. (1.8x10⁹) (6.7 x 10¹²) in Scientific Notation is 120.6×\(10^{20}\) and a=120.6 and b=20
Scientific notation:
Scientific notation is a method of presenting very large or very small numbers in a more simplified format. We know that whole numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper. Furthermore, the numbers found after the decimal point needed to be represented in a more straightforward manner.
(1.8x10⁹) (6.7 x 10¹²) = 120.6×\(10^{20}\)
Given (1.8x10⁹) (6.7 x 10¹²) =a x \(10^{b}\)
a x \(10^{b}\)= 120.6×\(10^{20}\)
a=120.6 and b=20
Therefore,the following expression i.e. (1.8x10⁹) (6.7 x 10¹²) in Scientific Notation is 120.6×\(10^{20}\) and a=120.6 and b=20
Learn more about Scientific notation here:
https://brainly.com/question/18073768
#SPJ9
Yesterday, a movie theater sold 266 bags of popcorn. A large bag of popcorn costs $4. A small bag
of popcorn costs $1. In all, the movie theater made $437 from popcorn sales. Write and solve a system
of equations to find how many bags of each size popcorn were sold. WRITE VARIABLE STATEMENT (LET)
AND EQUATION ONLY.
By solving the system of equations, the number of large bags of popcorn sold is 57, and the number of small bags of popcorn sold is 209.
Let's denote the number of large bags of popcorn sold as L and the number of small bags of popcorn sold as S.
Variable statement:
L = number of large bags of popcorn sold
S = number of small bags of popcorn sold
Equations:
1. L + S = 266 (Total number of bags sold is 266)
2. 4L + 1S = 437 (Total revenue from popcorn sales is $437)
We can use the method of substitution or elimination to find the values of L and S.
Using the substitution method, we can solve Equation 1 for L and substitute it into Equation 2:
L = 266 - S
Substituting L into Equation 2:
4(266 - S) + S = 437
1064 - 4S + S = 437
-3S = 437 - 1064
-3S = -627
S = -627 / -3
S = 209
Now, substitute the value of S back into Equation 1 to find L:
L + 209 = 266
L = 266 - 209
L = 57
Therefore, the number of large bags of popcorn sold is 57, and the number of small bags of popcorn sold is 209.
To know more about system of equations, click here: brainly.com/question/21620502
#SPJ11
divide rs 50000 bettween two charties in the ratio of 1/10: 1/15
TELL PLEASE
Answer:
sorry
Step-by-step explanation:
i dont know
sjksiisje
jsjsjdjdjdj
sjjsjd
Answer:
30000 : 20000
Step-by-step explanation:
Given the ratio
\(\frac{1}{10}\) : \(\frac{1}{15}\) ( multiply both parts by 30 the LCM of 10 and 15, to clear the fractions )
= 3 : 2
sum the parts of the ratio, 3 + 2 = 5 parts
Divide the amount by 5 to find the value of 1 part of the ratio
50000 ÷ 5 = 10000 ← value of 1 part of the ratio, then
3 parts = 3 × 10000 = 30000
2 parts = 2 × 10000 = 20000
Then
50000 = 30000 : 20000 in the ratio 3 : 2
regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be.
The statement given "regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be." is true because regression equations are indeed employed for predicting values of unavailable data.
Regression equations are commonly utilized to make predictions for unavailable data. When the data does not closely conform to a specific type of function, that function is deemed inappropriate for statistical regression. The accuracy of predicted values is contingent on the degree of resemblance between the data and the chosen model. Hence, a strong fit between the data and the model enhances the reliability of predicted values, ensuring that regression analysis is effectively applied for making accurate predictions.
You can learn more about regression equation at
https://brainly.com/question/30401933
#SPJ11
A number is called "bright" if it is 34 times larger than the sum of its digits. How many "bright" three-digit numbers are there?
A : 0
B : 1
C : 2
D : 3
E : 4
Step-by-step explanation:
Let the number be \(\overline{abc}=100a+10b+c\).
\(100a+10b+c=34a+34b+34c \\ \\ 66a-24b-33c=0 \\ \\ 22a-8b-11c=0\)
Taking the equation mod \(11\) yields \(-8b \equiv \pmod{11}\), meaning \(b=0\).
So, \(22a-11c=0 \implies c=2a\).
So, the only possibilites are \((a,c)=(1,2), (2,4),(3,6), (4,8)\).
Therefore, there are \(4\) such numbers.
An airline claims that it rarely loses a passenger's checked luggage, and, if checked luggage is lost, 90% of the luggage is recovered and returned to the owner within 24 hours. A consumer group believes the 24-hour recovery rate of lost luggage is actually lower (worse) than the airline's claim. They surveyed a large random sample of the airline's customers and found that 103 of 122 people who had lost luggage were reunited with the missing items within 24 hours. Is this enough evidence to claim the proportion of people who lost luggage with this airline a
The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
What is a null hypothesis?Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.
It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.
The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.
In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
Learn more about hypothesis on:
brainly.com/question/15980493
#SPJ12
125 feet in 5 seconds. can you maybe please make this? thx.
Answer:25/5 or 25/1.
Step-by-step explanation: 125 feet in 5 seconds as a unit rate would be 125/5 or 25/1.
Find the distance between the following pairs of points: C (1,6) .D (13.41).
simplify 100y^3/98xy pls answer soon hegarty maths lazy
im giving u all my points for this pls
Answer:
50y^4x/49
Step-by-step explanation:
y^3/98
((100* y^3/98 * x) * y
2.1 y^3 * y^1=y^(3+1)=y^4
someone help 9th grade math i will give brainliest
Answer:
I think it may be H. but let me know if i am wrong. if i am right plz mark brainliest
Step-by-step explanation:
27 divided by 3 is 9, 27/3=9 because 27/3 is the same exact thing as 27 divided by 3. So the answer has to be 9
Hudson and Knox are in a race. Hudson is running at a speed of 8. 8 feet per second. Knox got a 30-foot head start and is running at a speed of 6. 3 feet per second. How many seconds will it take until Hudson and Knox have run the same number of feet? Write the equation
It will take 12 seconds until Hudson and Knox have run the same number of feet.
Let's denote the time it takes until Hudson and Knox have run the same number of feet as "t" (in seconds).
The distance Hudson runs can be calculated by multiplying his speed (8.8 feet/second) by the time "t". Thus, the distance Hudson covers is 8.8t feet.
Knox, on the other hand, had a head start of 30 feet. So the distance Knox covers can be calculated by multiplying his speed (6.3 feet/second) by the time "t" and adding the head start of 30 feet. Thus, the distance Knox covers is 6.3t + 30 feet.
To find the time when both runners have covered the same distance, we set their distances equal to each other:
8.8t = 6.3t + 30
Simplifying the equation:
2.5t = 30
Dividing both sides by 2.5:
t = 30 / 2.5
t = 12
Therefore, it will take 12 seconds until Hudson and Knox have run the same number of feet.
Learn more about same number here
https://brainly.com/question/17060199
#SPJ11
compute the (sample) variance and standard deviation of the data sample. (round your answers to two decimal places.) −6, 7, 7, 7, 15
the sample variance is 57 and the sample standard deviation is approximately 7.55.
To compute the sample variance and standard deviation of the data sample {-6, 7, 7, 7, 15}, we'll follow these steps:
1. Calculate the mean (average) of the data:
Mean = (-6 + 7 + 7 + 7 + 15) / 5 = 6
2. Calculate the deviation of each data point from the mean:
Deviation = Data point - Mean
Deviations: {-12, 1, 1, 1, 9}
3. Square each deviation:
Squared Deviations: {144, 1, 1, 1, 81}
4. Calculate the sum of squared deviations:
Sum of Squared Deviations = 144 + 1 + 1 + 1 + 81 = 228
5. Compute the sample variance:
Variance = Sum of Squared Deviations / (n - 1)
= 228 / (5 - 1)
= 57
6. Compute the sample standard deviation:
Standard Deviation = √Variance
= √57
≈ 7.55
To know more about deviation visit:
brainly.com/question/23907081
#SPJ11
In the given figure, If the angles a and b are in the ratio 2:3, then angle cis:
Answer:
figure is missing mate
Please answer it now in two minutes
Answer:
4.5
Step-by-step explanation:
Use sin64=x/5 and simplify to
5sin64 and plug it into a calculator to get 4.49 which is 4.5
What is “8 - 4(-x + 5)” equivalent too?
Answer:
4x -12
Step-by-step explanation:
8 - 4(-x + 5)
Distribute
8 -4(-x) -4(5)
8 +4x -20
4x -12
answer 4( - 3 + x)
factor expression 4(2 - ( - x + 5)4(2 + x - 5)answer
\(4( - 3 + x)\)
simplify the expression\(8 - 4( - x + 5)\)
answer
\( - 12 + 4x\)
how do you make a 0 pair
Answer:
1 + ( -1) = 0
Step-by-step explanation:
Answer:
A zero pair is a pair of numbers that, when added together, equal zero. In other words, they cancel each other out.
Step-by-step explanation: Here's why: Imagine your place on the rope is to the right of the zero, at the '1' position. Your friend is standing to the left of the zero, at the '-1' position. Where is the ribbon? It's at the 0! So, this means that '1' and '-1' are a zero pair - when added together, they equal zero and the positive cancels out the negative.
a new trendy restaurant is growing exponentially. after being open for 11 months the restaurant was serving an average of 310 customers a day. by month 15, the restaurant was serving about 456 customers a day. write an exponential function n(t) that models average number of customers, n, after t months of being open. if necessary, round any values to four decimal places (do not round on intermediate steps). write your answer in the form a(b)t
the exponential function is n(t) =n° (1+r)∧t, where t is the power refers the time in months after opening and n denotes average customer.
what means growing exponentially?when the rate of increases is occurred very rapidly. In this question, the trendy restaurant has earned reputation.
How will be the exponential function?Given, average number of customers after 11 months of opening = n(11) =310
average number of customers after 15 months of opening= n(15) =456
during this 4 month increases of customer =456 -310 =146
increasing rate of customer per month = 146/4 = 36.5
now increasing rate in percentages = 36.5 %
exponential growth rate, r= 0.365
let, n° is the initial number of customer while opening at t=0 month
now, the exponential function n(t) that model's average number of customers, n after t months of being open will be
n(t) = n° ( 1+r)∧t
we are given that after 11 months of opening average customer n(11) = 310
now, 310 = n° (1+ 0.365)∧11
n° = 10
hence, the exponential function = n(t) = 10(1+r)∧t
to learn more about exponential growth function visit:
https://brainly.com/question/2456547
#SPJ4
find the general solution of the differential equation: y ' − 4 y = e 3 t use lower case c for the constant in your answer.
The general solution of the given differential equation is y = y_h + y_p = ce^(4t) + (1/7)te^(3t).
The given differential equation is y' - 4y = e^(3t). This is a linear first-order homogeneous differential equation with constant coefficients. To solve this equation, we first find the general solution of the corresponding homogeneous equation y' - 4y = 0. The characteristic equation is r - 4 = 0, which has a single root r = 4. Therefore, the general solution of the homogeneous equation is y_h = c*e^(4t), where c is a constant.
Next, we find a particular solution of the non-homogeneous equation y_p by using the method of undetermined coefficients. Since e^(3t) is a solution of the homogeneous equation, we try a particular solution of the form y_p = Ate^(3t), where A is a constant. We take the first derivative of y_p, which is y'_p = Ae^(3t) + 3At*e^(3t).
Simplifying this equation, we get:
Ae^(3t) - 4At*e^(3t) = e^(3t)
Factoring out e^(3t), we get:
e^(3t)(A - 4tA) = e^(3t)
Since e^(3t) is never zero, we can divide both sides by e^(3t) to get:
A - 4tA = 1
Solving for A, we get:
A = 1/(1-4t)
Therefore, the particular solution of the non-homogeneous equation is y_p = Ate^(3t) = (1/7)te^(3t).
Finally, the general solution of the given differential equation is y = y_h + y_p = c*e^(4t) + (1/7)te^(3t), where c is a constant.
Learn more about differential equation:
brainly.com/question/31583235
#SPJ11