Answer:
[tex]S=(\frac{9}{2},-\frac{3}{2})[/tex]
Step-by-step explanation:
The missing details are:
[tex]T= (0,4)[/tex]
[tex]M = (\frac{9}{4}, \frac{5}{4})[/tex] --- Midpoint of ST
Required
Determine the coordinates of S
To do this, we apply the mid-point formula:
[tex]M(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)[/tex]
Where
[tex]M(x,y) = (\frac{9}{4}, \frac{5}{4})[/tex]
[tex]T(x_1,y_1) - (0,4)[/tex]
The equation becomes:
[tex]M(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)[/tex]
[tex](\frac{9}{4},\frac{5}{4}) = \frac{1}{2}(0+x_2,4+y_2)[/tex]
[tex](\frac{9}{4},\frac{5}{4}) = \frac{1}{2}(x_2,4+y_2)[/tex]
Multiply through by 2
[tex]2*(\frac{9}{4},\frac{5}{4}) = 2*\frac{1}{2}(x_2,4+y_2)[/tex]
[tex](\frac{9}{2},\frac{5}{2}) = (x_2,4+y_2)[/tex]
By comparison:
[tex]x_2 = \frac{9}{2}[/tex]
[tex]4 + y_2 =\frac{5}{2}[/tex]
[tex]y_2 =\frac{5}{2}-4[/tex]
[tex]y_2 =\frac{5-8}{2}[/tex]
[tex]y_2 =-\frac{3}{2}[/tex]
Hence, the coordinates of S is:
[tex]S=(\frac{9}{2},-\frac{3}{2})[/tex]
Leah has just inherited $12,000. She wants to invest the money so that she can increase the value of
her inheritance. What are some of the ways she can do this?
1. Leah wants to invest the $12,000 in an account that pays 4.5% annual interest.
a. Write equations for the amount A(t) that will be in the account after t years, if the interest is
compounded continuously, daily, and monthly. Then, find the amount after 10 years, rounded
to the nearest cent, for each method of compounding. Complete the table
When interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
If the interest compounded continuously:
P = $12000, r = 4.5% = 0.045%
[tex]\rm A(t) =12000(e)^{0.045t}[/tex]
When t = 10 years, plug this value in the above expression and calculating, we get;
A(10) = $18819.75
When interest compounded daily:
[tex]\rm A(t) = 12000(1+\dfrac{0.045}{365})^{365t}[/tex]
Plug t = 10 years:
We get;
A(10) = $18819.22
Similarly,
If interest is compounded monthly:
n = 12 and t =10, we get:
A(10) = $18803.91
Thus, when interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.
Learn more about the compound interest here:
brainly.com/question/26457073
#SPJ1
4 points
Untitled Question
Kimberly is asked to find mZM. What is her error?
N
sin M _ sin
16 10
sin M=
16.sin 33"
10
16
10
m2M = 0.8714
X Х
33
M
What is Kimberly's error?
A Kimberly did not find the inverse cosine of the value she calculated.
OB. Kimberly did not find the inverse sine of the value she calculated.
OC. Kimberly found the measure of angle N, not M.
D. Kimberly made a computational error.
E Kimberly did not apply the Law of Sines correctly
А
Answer:
The error is;
B. Kimberly did not find the inverse sine of the value she calculated
Step-by-step explanation:
The given parameters of the triangle ΔLMN are;
[tex]\overline {LN}[/tex] = 16
[tex]\overline {NM}[/tex] = 10
∠L = 33°
By sine rule, we have;
[tex]\dfrac{sin \ M}{16} = \dfrac{sin \ L}{10} = \dfrac{sin \ N}{\overline {LM}}[/tex]
Given that ∠L = 33°, we have;
[tex]\dfrac{sin \ M}{16} = \dfrac{sin \ 33^{\circ}}{10}[/tex]
Therefore, we have;
[tex]sin \ M = 16 \times \dfrac{sin \ 33^{\circ}}{10} \approx 0.8714[/tex]
sin M ≈ 0.8714
[tex]\therefore m \angle M = sin^{-1} \, (sin \ M)\approx sin^{-1} (0.8714) \approx 60.62^{\circ}[/tex]
Therefore, m∠M ≈ 60.62°
m∠M ≠ sin M ≈ 0.8714
Therefore;
Kimberly did not find the inverse sine (sin⁻¹) of the value she calculated
If Jen run for 15 minutes and goes 120meters, how fast did she run?
Answer:
8 meters per minute
Step-by-step explanation:
120/50=8
Hope this helps! :)
Answer:
8 meters/second
Step-by-step explanation:
Divide the distance(120 meters) by the time(15 minutes) to find the answer. the formula for any speed problem is d/t.
Hope this helps!
I need help what’s the answer ?
Answer:
4
Step-by-step explanation:
you can subtract them because they in the same family
Factor the trionomial below. x^2 + 6x - 27
Answer:
(x−3)(x+9)
Step-by-step explanation:
The middle number is 6 and the last number is -27.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 6
Multiply together to get -27
Can you think of the two numbers?
Try -3 and 9:
-3+9 = 6
-3*9 = -27
Fill in the blanks in
(x+_)(x+_)
with -3 and 9 to get...
(x-3)(x+9)
30 points available will give brainliest plz helpp need soon
i need it quick
Answer:
90
hope it's helpful
THANK YOU.
Answer:
90
Step-by-step explanation:
p.l.z give brainliest i lost all my brainliest
4. Mary wants to select one shirt (white, red, black), one pant (capri,
skinny), and one footwear (shoes, boots). Which outcome is not
possible? *
A white shirt, capri pant, shoes
B red shirt, skinny pant, boots
C blue shirt, capri pant, boots
Dblack shirt, skinny pant, shoes
Answer:
B red shirt, skining pant, boots
5 x 143 = 5 x ( + + ) write 143 in expanded form.
Answer:
Step-by-step explanation:
143 = 100 + 4 0 + 3
5*(143) = 5 * (100 + 40 + 3)
= 5*100 + 5*40 +5*3
= 500 + 200 + 15
= 715
Is x = 5 the solution to 2x - 3 = 6
(show me why! Or maybe why not)
Answer:
no
Step-by-step explanation:
2 times x or 5 which is 10
then subtract ten by 3
which is 7 not 6
(Brainliest?)
Welcome!
Which shows how to solve the equation -4/5 x = 80 for x in one step?
Answer:
Add the reciprocal or -4/5 which is +5/4 and then add it
Step-by-step explanation:
The diameter of a circle is 24 meters. What is the circle's area? Use 3.14 for .
Answer:
To get the circumference, multiply the diameter by pi. You have the diameter in meters, and you were given an approximate value of pi. Multiply these 2 numbers, and get the circumference in meters.
Step-by-step explanation:
Answer:
144π or about 452.39
Step-by-step explanation:
Diameter = 24 meters
Radius = diameter/2 = 12 meters
Area of a circle = π*radius*radius = π*radius^2
Area = π*12^2 = 144π = 452.39
Eber ran 3 miles. He stopped to take a break every 34 mile. How many times did Eber stop, including his final stop at the end of his run? Use the model to help you answer this question.
The number of times that Eber stop, including his final stop at the end of his run, will be 4 times.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Eber ran 3 miles. He stopped to take a break every 3/4 mile.
Then the number of times that Eber stop, including his final stop at the end of his run, will be given as,
⇒ 3 ÷ (3/4)
⇒ 3 x (4 / 3)
⇒ 4 times
The number of times that Eber stop, including his final stop at the end of his run, will be 4 times.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
What is an equation of the line that passes through the points (4,-1) and (8,5)?
Answer:
y=3/2x-7
Step-by-step explanation:
the equation of the line for slope-intercept form is y=mx+b, where m is the slope and b is the y intercept.
we are given two points: (4,-1) and (8,5)
the equation for slope is (y2-y1)/(x2-x1)
label the points:
x1=4
y1=-1
x2=8
y2=5
now substitute into the equation:
m=(5--1)/(8-4)
m=6/4
m=3/2
the slope of the line is 3/2
here is our equation so far:
y=3/2x+b
we need to find b
since the equation will pass through the points, we can substitute either one into the equation to find b
let's use (4,-1) as an example
substitute into the equation
-1=3/2(4)+b
-1=6+b
-7=b
the y intercept is -7
so the equation is y=3/2x-7
hope this helps!
round 0.009 to the nearest hundredth
Answer:
0.01
Step-by-step explanation:
Rounded to the nearest hundredth 0.009 is 0.01.
The term "Rounding off" means the process of approximating a number to a specified degree of accuracy by replacing it with a neighboring value that is efficient to work with, and makes calculation easy or more meaningful in a given context. This involves reducing the number of significant digits or decimal places in a numerical value while retaining its overall magnitude.
To round off 0.009 to the nearest hundredth, 1 is added to the digit in second place after the decimal, i.e., 0, and the digit in the third place after the decimal, i,e, 9 is replaced by 0.
Thus, when rounded to the nearest 100th, 0.009 results as 0.01.
Learn more about Rounding off here:
https://brainly.com/question/13391706
#SPJ6
Please help I don’t understand
Answer:
_____
Step-by-step explanation:
its saying that the height of the tree is half of 160
(i think)
you move right 1 unit and left 3 units. you end at (-4,0). where did u start?
Answer:
(2,-4)
Step-by-step explanation:
you see (-4,0), then you do the opposite of what it says like it says right 1 unit. then you g left 1 unit. then it says left 3 units. so you go right 3, which results you starting at (2.-4)
ahhhh if someone can please help!!
Answer and Step-by-step explanation:
The y-intercept is (0, 3)
The value 3 is in the y place.
#teamtrees #WAP (Water And Plant)
HELP ASAPPPP!!!!! NOW NOW NOW
Answer:
The answer is 4.
Step-by-step explanation:
If you put four dashes on the number line, you will end up with fifths.
Answer:
4
Step-by-step explanation: A general rule of thumb is that the answer for these types of problems is always 1 less than the number of segments needed. For example, 7ths would = 6 cuts and 3rds would be 2 cuts.
15 POINTS PLEASE ANSWER
What equation can be used to find the following: "9 is 45% of what number"
Answer:
20
Step-by-step explanation:
45% of x=9
x=9/0.45 = 20
There are 32 members of the track team. 8 of those students are seventh graders. What percent are seventh graders?
Answer:
25%
Step-by-step explanation:
8/32 reduced to 1/4. he fraction 1/4 is equal to 25%.
Hope this helps!
PLEASE HURRY!!!
Fill in the blanks to complete the equation that describes the diagram.
Answer:
-5
-3 + -5 = -8
PLEASE HURRY. WORTH 50 POINTS + BRAINLIEST IF CORRECT ANSWER
The local business will donate $5.00 for every 10 tickets sold. Let x represent tickets sold, and y represent dollars donated. Student A claims that the equation is y = 2x. Student B claims that the equation is y = 1
2
x. Explain who is correct.
Answer:
sorry
Step-by-step explanation:
a can contains 24 fluid onces of fruit juice . how many pints of fruit juice does the can contain
A. 3 pt
B. 1 1/2 pt
C. 12 pt
D. 1/3 pt
Answer:
B 1 1/2 pts
4 fluid ounces = 0.25 pints
24 fluid ounces = 6 pt
12ft 5ft what is the length of the hypotenuse
Use the Distributive Property to evaluate the expression.
(16 - 6)2
Answer:
20
Step-by-step explanation:
What is the product of (3x + 1)(3x – 4)?
Step by step.
Answer:
9x^2-9x-3
Step-by-step explanation:
3x*3x=9x^2
3x*-4=-12x
1*3x=3x
1*-4=-3
9x^2-12x+3x-3
9x^2-9x-3
Answer:
9x^2 - 9x - 4
Step-by-step explanation:
(3x + 1)(3x – 4)
Here you can use the FOIL method (FOIL stands for: First, Outer, Inner and Last)
First you multiply 3x by 3x since these are the First inside both binomials.
3x * 3x = 9x^2
Then you multiply 3x by -4 since these are the Outer inside both binomials.
3x * -4 = -12x
Then you multiply 1 by 3x since these are the Inner inside both binomials.
1 * 3x = 3x
Then you multiply 1 by -4 since these are the Outer inside both binomials.
1 * -4 = -4
And finally add everything together:
9x^2 + (-12x) + 3x + (-4)
Since adding a negative number is the same as subtracting it:
9x^2 - 12x + 3x - 4
We can now simplify this a little by adding all the x's together:
9x^2 - (12x + 3x) - 4 =
9x^2 - 9x - 4
Hope I could help you understand!
If you still wonder anything, don't hesitate to ask in the comments below!
Have a wonderful day! (●'◡'●)
In a team, the ratio of attackers : defenders is 11:7.
Given that there are 36 players in the squad, how many more attackers are there than defenders?
fast answers pls
Answer:
8 more attackers than defenders
Step-by-step explanation:
36÷18=2
2x11=22
2x7=14
Answer:
8
Step-by-step explanation:
sum the parts of the ratio, 11 + 7 = 18 parts
Divide the number of players by 18 to find the value of one part of the ratio
36 ÷ 18 = 2 players ← value of 1 part of the ratio, then
11 parts = 11 × 2 = 22 ← number of attackers
7 parts = 7 × 2 = 14 ← number of defenders
22 - 14 = 8
There are 8 more attackers than defenders
What is the measure of XZW
Answer:
∠XZW = 95°
Step-by-step explanation:
∠YXZ = 180 - 150
∠YXZ = 30°
∠XZY = 180 - (30+65)
∠XZY = 180 - 95
∠XZY = 85°
∠XZW = 180 - 85
∠XZW = 95°
which expression is equivalent to (3b+2r)+(4b+r)
Answer:
7b+3r
Step-by-step explanation:
Combine all like terms
H E L P- A G A I N (im dum ok? also no scam answers please.)
Answer:
a.Equation :y=40-2.5x
b.straight, decreases, the same
Step-by-step explanation: