Answer:
You just stack them like you would a normal multiplication problem so 67.8
.45
and them multiply them like you would a normal problem so ignore the decimals for now. Once you have your answer, look at how many numbers are behind the decimal in both number (in this case it's 3) so then you would take your answer and move the decimal over three sooooooo 30510 would be 30.510 or just 30.51
Step-by-step explanation:
Find the measure of angle
only number 4, and please include the working. also do it with the substitution method not elimination or any other.
Answer:
x = -2 and y = 1
Step-by-step explanation:
→ Rearrange x - y = -3 to make y the subject
-y = - x - 3 so y = x + 3
→ Substitute into 2x + y = -3
2x + x + 3 = -3
→ Simplify
3x + 3 = -3
→ Minus 3 from both sides
3x = -6
→ Divide both sides by 3
x = -2
→ Substitute x value into first equation
-4 + y = -3
→ Add -4 to both sides
y = 1
What does slope measure? it doesnt count for any points but if i don't answer this correctly my math teacher will not leave me alone.
Answer:
the slope of the line shows the rate of change of y relative to x
Answer:
Step-by-step explanation:
Slope, m, is a measure of the rate of change which is constant for linear equations. Mathematically it is defined as
m=(y2-y1)/(x2-x1)
Again for linear equations this is a constant value which tells you how much y, the dependent variable, increases/decreases with respect to the change in the independent variable x.
Is this correct hehevdhegged
Answer:
b is the correct answer
Step-by-step explanation:
btw can i have brainliest please
Find the value of the variable 7x + 19 11x -89 60°
Step-by-step explanation:
let third angle be x
60° + 60° + x = 180° (Δ sum property)
x = 60°
so, this is a equilateral triangle (all Δ equal)
-----------------------------------------in equilateral triangle --> all sides are equal
so, therefore =>>
7x + 19 = 11x - 89
19 + 89 = 11x - 7x
108 = 4x
108 ÷ 4 = x
27 = x
x = 27-----------------------------------------so variable
1.) 7x + 19
= 7(27) + 19
= 189 + 19
= 208
2.) 11x - 89
= 11(27) - 89
= 297 - 89
= 208
Find the point on the line 2x+6y+1=0 which is closest to the point (-5,-3)
Answer:
(-1.875, -1.625)
Step-by-step explanation:
We want to find the point on the equation 2*x + 6*y + 1 = 0 which is closest to the point (-5, -3)
Remember that the distance between two points (a, b) and (c, d) is:
D = √( (a - c)^2 + (b - d)^2)
First we can write our equation as a line in the slope intercept form:
y = -(2/6)*x - 1
Now we could minimize the equation:
D = √( (x - (-5))^2 + (y - (-3))^2) = √( (x + 5)^2 + (y + 3)^2)
D = √( ( x + 5)^2 + ( -(2/6)*x - 1 + 3) ^2)
Then we can minimize:
D^2 = (x + 5)^2 + ( -(2/6)*x + 2)^2
= x^2 + 10*x + 25 + (4/36)*x^2 - (8/6)*x + 4
= (1 + 4/36)*x^2 + (10 - 8/6)*x + 29
= (40/36)*x^2 + (52/6)*x + 29
This is a quadratic equation whose leading coefficient is positive, then the minimum of this equation is at the vertex.
The vertex is at the x-value such that (D^2)' = 0
Then:
(D^2)' = 2*(40/36)*x + (52/6)
This needs to be zero then:
0 = 2*(40/36)*x + (52/6)
-52/6 = (80/36)*x
(-52/6)*(36/80) = x
-1.875 = x
And the y-value when x = -1.875 is:
y = -(2/6)*-1.875 - 1
y = -1.625
Then the point on the line 2x+6y+1=0 that is closest to (-5,-3) is the point (-1.875, -1.625)
6 triangles and 10 squares what is the simplest ratio of triangles to squares?
Answer:
3:5
Step-by-step explanation:
To find the simplest ratio, divide each number by 2:
6/2
= 3
10/2
= 5
So, the simplest ratio of triangles to squares is 3:5
You need 25 pounds of potatoes. If each potato weighs 5 ounces, how many potatoes will you need?
Answer:
80 potatoes
Step-by-step explanation:
Carlotta has 2/3 of a bag of dog food. She gives her dog 2/9 of the bag at each feeding. How many times can she feed her dog with what is left in this bag of dog food?
A. 3
B. 4
C. 18
D. 27
Answer:
27
Step-by-step explanation:
Carlotta can feed 3 times her dog with leftover in this bag of dog food
What is the unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE have been given that Carlotta has 2/3 of a bag of dog food and She gives her dog 2/9 of the bag at each feeding.
The bag of dog food = 2/3
Let she feed her dog with leftover in this bag of dog food = X
Therefore, X = 2/3 × 9/2
X = 18 / 6
X = 3
Hence, Carlotta can feed 3 times her dog with leftover in this bag of dog food
Learn more about the unitary method, please visit the link given below;
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would this be a cone??
no that would NOT be a cone
That would not be a cone.
25 POINTS!!!!!!!!!!!
I WILL GIVE BRAINLEIST
I need the answers for
15.
16.
17
kennedy has 12 apple. togethe, she and Ariana have 42 apple. which diagram represents best represents the situation where A is the amount of apples that Ariana has?
Uhm... I’m sorry I don’t really know the answer to your question I’m just answering it for points....
Mary and Lewis each open a savings account at the same time. Mary invests $3,700 in an account yielding 3.2% simple interest, and Lewis invests $3,000 in an account yielding 5.9% simple interest. After fifteen years, who has the greater total amount of money, and how much greater is it?
a.
Lewis has $879 more than Mary.
b.
Lewis has $179 more than Mary.
c.
Mary has $776 more than Lewis.
d.
Mary has $345 more than Lewis.
Answer:
lewis has $179 more than mary
Lewis has the greater total amount of money than Mary by $879
Given the following data:
Mary's principal = $3,700Mary's interest = 3.2% = 0.032Lewis's principal = $3,000Lewis's interest = 5.9% = 0.059Time = 15 years.To determine who has the greater total amount of money and by how much greater is it:
The formula for simple interest.Mathematically, simple interest is given by the formula:
[tex]S.I = PRT[/tex]
Where:
S.I is the simple interest.P is the principal or starting amount.R is the interest rate.T is the time measured in years.For Mary:[tex]S.I = 3700 \times 0.032 \times 15[/tex]
S.I = $1,776
For Lewis:[tex]S.I = 3000 \times 0.059 \times 15[/tex]
S.I = $2,655
Therefore, Lewis has the greater total amount of money.
Next, we would find the difference in their simple interest:
[tex]Difference = 2655-1776[/tex]
Difference = $879
Read more on simple interest here: https://brainly.com/question/24341207
How to do this here
Answer:
Step-by-step explanation:
9x-6y=-12 and -2x+3y=-4 by elimination
Answer:
x = 4, y = 4 or you can say (4, 4)
Is the variable y considered a monomial?
Drag the values to the correct locations on the image. Not all values will be used.
Susan is conducting a survey about the electric bills of households in her city. From the electric company, she found that the population mean is
$98.75 with a standard deviation of $10.45. Susan has a sample size of 60.
Complete the equation that Susan can use to find the interval in which she can be 68% sure that the sample mean will lie.
98.75
109.2
88.3
7.75
60
10.45
C
+
r
Answer:
[tex]x\\[/tex] ± [tex]\frac{s}{\sqrt{n}}[/tex] = [tex]9.78[/tex] ± [tex]\frac{10.45}{\sqrt{60}}[/tex]
Step-by-step explanation:
x is the value of our population/sample mean. Given that it's 98.75, we substitute x for 98.75.
We follow this pattern for s and n, which are the standard deviation and sample size respectively, to fill out the rest of our equation. This means that s is 10.45 and n is 60
Since we know the formula is [tex]x\\[/tex] ± [tex]\frac{s}{\sqrt{n}}[/tex], we can input our new values.
This gives us our answer of [tex]9.78[/tex] ± [tex]\frac{10.45}{\sqrt{60}}[/tex]
TL;DR
I took the test and the answer was right
The interval in which the population mean $98.75 with standard deviation of $10.45 with a sample size of 60 is given by its lower and upper limit as given by: 98.75 ± 10.45/(√(60))
What is empirical rule?According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%[/tex]
where we had where mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex] (assuming X is normally distributed).
What is the distribution of sample mean for large samples?Suppose X has has a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], then, the distribution of the mean of samples of size n, drawn from the values of X, is normally distributed with mean equal to the mean of X, and standard deviation equal to [tex]\sigma/\sqrt{n}[/tex]
Symbolically, we write it as:
[tex]X \sim N(\mu, \sigma) \implies \overline{X} \sim N(\mu,\sigma/\sqrt{n} )[/tex]
(for large enough samples, n > 30)
For this case, we're specified that:
Population mean = [tex]\mu = $98.75[/tex] (dollars)Population standard deviation = [tex]\sigma = 10.45[/tex] (dollars)sample size = n = 60Then, the distribution of the sample mean is approximately normal distribution with mean $98.75 and standard deviation approximately [tex]10.45/\sqrt{60}[/tex]
Symbolically, we get:
[tex]X \sim N(98.75, 10.45/\sqrt{60})[/tex]
Then, using empirical rule, we find the limits for sample mean for which we're 68% sure that the sample mean will lie in that interval as one standard deviation (of the sample mean) away from its mean.
[tex]P\left( 98.75 - 10.45/\sqrt{60} < \overline{X} < 98.75 + 10.45/\sqrt{60}\right) \approx 68\%[/tex]
So, limits are:
[tex]98.75 \pm \dfrac{10.45}{\sqrt{60}}[/tex]
Thus, the interval in which the population mean $98.75 with standard deviation of $10.45 with a sample size of 60 is given by its lower and upper limit as given by: 98.75 ± 10.45/(√(60))
Learn more about empirical rule here:
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A ABD ZA FEC
F
63°
14
12
G
5.7
72
559
B
os
8
D
10
E
What is
тДFCE,
Enter your answer in the box.
Answer:
m<FCE = 45°
Step-by-step explanation:
Given that ∆ABD ≅ ∆FEC, therefore,
<A ≅ <F
<B ≅ <E
<ADB ≅ <FCE
m<ADB = 45°
Therefore,
m<ADB = m<FCE = 45°
m<FCE = 45°
Guys please help me out ASAP, Due today. I
In an arithmetic sequence Sn = n² - 2n.
Use your formula in 2c to determine the value of
(a) T7 =
(b) Tn=
The formula in 2c : Sn - Sn-1 =Tn
Answer:
[tex]T_7 = 11[/tex]
[tex]T_n = 2n- 3[/tex]
Step-by-step explanation:
Given
[tex]S_n = n^2 -2n[/tex]
[tex]T_n = S_n - S_{n-1}[/tex]
Solving (a): T7
Substitute 7 for n in [tex]T_n = S_n - S_{n-1}[/tex]
[tex]T_7 = S_7 - S_{7-1}[/tex]
[tex]T_7 = S_7 - S_6[/tex]
Calculate S7 and S6
[tex]S_n = n^2 -2n[/tex]
[tex]S_7 = 7^2 - 2 * 7 = 35[/tex]
[tex]S_6 = 6^2 - 2 * 6 = 24[/tex]
So:
[tex]T_7 = 35 -24[/tex]
[tex]T_7 = 11[/tex]
Solving (b): Tn
[tex]T_n = S_n - S_{n-1}[/tex]
Where [tex]S_n = n^2 -2n[/tex]
Calculate[tex]S_{n-1}[/tex]
We have:
[tex]S_{n-1} =(n-1)^2 - 2(n-1)[/tex]
Open brackets
[tex]S_{n-1} = n^2 -2n + 1 -2n +2[/tex]
[tex]S_{n-1} = n^2 -2n-2n + 1 +2[/tex]
[tex]S_{n-1} = n^2 -4n + 3[/tex]
So:
[tex]T_n = S_n - S_{n-1}[/tex]
[tex]T_n = n^2 - 2n - (n^2 -4n + 3)[/tex]
[tex]T_n = n^2 - 2n - n^2 +4n - 3[/tex]
Collect Like Terms
[tex]T_n = n^2 - n^2- 2n +4n - 3[/tex]
[tex]T_n = 2n- 3[/tex]
Help pls and explain how you got your answer pls!!!
Fred is making a bouquet of carnations and roses. The carnations cost $5.25 in all. The roses cost $1.68 each. How many roses did Fred use if the bouquet cost $18.69 in all?
wrong answers reported
right answers get brainiest
Answer:
8 roses
Step-by-step explanation:
First start by subtracting $18.69 by $5.25 because you already know how much the carnations cost and how much the bouquet cost in all. When you subtract 18.69 by 5.25 you should get $13.44. If each rose cost $1.68 then divide 13.44 by 1.68 to get the amount of roses in the bouquet.
HELP!! i will vote brainlest answer
Answer:
D. 18
Step-by-step explanation:
The polygon given is a 5-sided polygon (pentagon). Sum of all interior angles of a 5-sided polygon = (n - 2) * 180°
= (5 - 2) * 180 = 540°
Therefore:
95° + (7x - 4)° + (3x + 23)° + (9x - 6)° + 90° = 540°
Solve for x
95 + 7x - 4 + 3x + 23 + 9x - 6 + 90 = 540
Add like terms
198 + 19x = 540
19x = 540 - 198
19x = 342
x = 342/19
x = 18
I understand this but I want to be sure I’m right help me pls
Answer:
Step-by-step explanation:
∡WXY = 138° - ∡ZXY
Given AFGH ~ ALMN, select all the statements that are true.
Answer:
1st, 3rd, and 4th options are true
Step-by-step explanation:
a company is painting the exterior walls of a warehouse. Find the lateral surface area of the walls in square feet.
Answer:
Step-by-step explanation:
help me The science teacher brought a goldfish to her room at school. A total of 36 students voted on the name of the goldfish. The results of the vote are shown in the circle graph.
A circle graph with three sections is shown. The sections are labeled: Goldy, sixty degrees, Slinky, one hundred twenty degrees, Finny, one hundred eighty degrees.
y is inversely proportional to the square of (x + 2).
When x = 3, y = 2.
Find y when x = 8.
Answer:
y = k/(x+2) squared
substitute y and x to find the value of k.
k =50
nxt used the value of k with same formula:.
y= 50/ (8+2) squared
y =1/2
Victoria is going to a carnival that has games and rides. Each game costs $2 and each ride costs $4. Victoria spent $16 altogether on 6 games and rides. Graphically solve a system of equations in order to determine the number of games Victoria played, x,x, and the number of rides Victoria went on, yy.
Answer:
2 rides & 4 games
Step-by-step explanation:
2 rides=$8
4 games=$8
8+8=$16
Point (4,2), represents that Victoria played 4 games (x = 4) and went on 2 rides (y = 2).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The number of games Victoria played, x, and the number of rides Victoria went on, y.
Each game costs $2 and each ride costs $4, so we can set up the following system of equations:
2x + 4y = 16
x + y = 6
To graphically solve this system of equations, we can plot the equations on the same coordinate plane and find the point where they intersect. This point will represent the values of x and y that satisfy both equations.
To plot the equations, we can first graph the equation 2x + 4y = 16.
The slope is 2 and the y-intercept is 4, so we can plot the line by starting at the point (0,4) and moving 2 units up and 1 unit to the right to find the next point on the line.
We can then connect this point to the first point with a straight line to complete the graph of the equation.
Next, we can graph the equation x + y = 6 similarly.
The point will represent the values of x and y that satisfy both equations.
In this case, we can see that the lines intersect at point (4,2), which means that Victoria played 4 games (x = 4) and went on 2 rides (y = 2).
Learn more about the graphs here:
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I need help with this
Answer:
X=9/4
Step-by-step explanation:
-3x+10=5x-8
Subtract 10 from each sides
-3x=5x-18
Subtract 5x from both sides
-8x=-18
Divide both sides by -8
x=9/4
I hope this helped
Anyone good at trigonometry?
I need a tutor or something cause I suck
Answer:
I'll help if you need it.
Step-by-step explanation:
Given Angle TOP equals 38 degrees, QOR equals 82 degrees and angle SOR equals 98 degrees, find the measure of QOT
Answer:
98 since vertical angels have same angles
Step-by-step explanation: