Answer:
y+4=6(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=6(x-3)
y+4=6(x-3)
The length of a rectangle is 3 times the width. The area of this rectangle is 243 feet squared.
What are the dimensions?
Width =____feet (this is the short side)
Length=____feet (this is the long side that is 3 times the width)
Step-by-step explanation:
width = x
length= 3x
Area = length * width
243=3x * x
3÷243 =3x^2÷3
√81=√x^2
x=9
3x=3*9=27
Width=9
Length=27
Suppose Tabitha finds an annuity that pays 7.0% annual interest, compounded semiannually. She decides to invest $650
semiannually in this annuity for 5 years. How much interest does she earn during the 5 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answer:
Rounded to the nearest cent, over 5 years she will earn $ 916.89.
Step-by-step explanation:
Since Tabitha found an annuity that pays 7.0% annual interest, compounded semiannually, and she decided to invest $ 650 semiannually in this annuity for 5 years, to determine how much interest she will earn during the 5 years the following calculation must be performed:
650 x (1 + 0.07 / 2) ^ 5x2 = X
650 x (1 + 0.035) ^ 10 = X
650 x 1,035 ^ 10 = X
916,889 = X
Thus, rounded to the nearest cent, over 5 years she will earn $ 916.89.
Answer: 1125.41
Step-by-step explanation:
First, let’s find out how much is in the account after 5 years. We will use the savings annuity formula
A(t)=d((1+r/n)n⋅t−1)r/n
to find the value of A(5). We know that r=0.07, d=$650, n=2 compounding periods per year and, t=5 years. Substitute these values into the formula.
A(5)=$650 ((1+0.07/2)5⋅2−1)/(0.07/2)
Simplifying gives
A(5)=$650 ((1.035)10−1)/(0.035),
thus
A(5)=$7,625.41.
The sum of all deposits D5 is given by 5⋅2⋅$650=$6,500. Now, substitute these numbers into
A(5)=D5+I5
and solve for I5. This gives
$7,625.41=$6,500+I5,
yielding the total interest paid as $1,125.41. Enter 1125.41 as the answer.
(2z+2)(z^2+z–2) please help
Answer:
2z^3+4z^2-2z-4
Step-by-step explanation:
Distribute
2z^3+2z^2-4z+2z^2+2z-4
Simplify
2z^3+4z^2-2z-4
help, can you tell if im right?
Answer:
Yes, all of your answers are 100% correct
Step-by-step explanation:
You correctly set the values equal to the numerator or denominator (minutes = minutes) and any value will equal the same value.
The product of two factors is x2+ 6x + 8. If one of the factors is (x + 4), what is the other factor?
HURRY 50 POINTS Which of the points belong to the graph of the equation x–2y=4?
A (6,1)
B (-6,-5)
C (0,-2)
D (-1,3)
THESE ARE ALL YES/NO QUESTIONS AND PLEASE DONT GIVE ME A LINK TO THE ANSWER
Answer:
C (0,-2)
Step-by-step explanation:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Tap for more steps.
As you have two different variables (x and y) you aren't looking at a linear function but at a 3d function instead. Make sure you have the correct heading
Note that this equation is linear since all of the terms in
x and y are of degree at most 1.
At a drop-in mathematics tutoring center, each teacher sees 4 to 8 students per hour. The probability that a tutor sees 4 students in an hour is 0.12;5 students, 0.13; 6 students, 0.30; and 7 students, 0.33. Let be the number of students per hour of a randomly selected teacher.
Answer:
0
Step-by-step explanation:
am not sure, , have not studied
Find the highest common factor(HCF) of 18 and 24
Calculate the area of the above triangle
07 square units
28 square units
14 square units
30.5 square units
Answer:
14 square units
Step-by-step explanation:
Equation:
Area of a triangle = h*b/2
Variables:
h = 4 units
b = 7 units
Solve:
h*b/2
= 4 units * 7 units /2
= 14 square units
Please mark brainliest if this helped!
convert 320% to an equivalent decimal.
Answer:
Answer is 3.2
Step-by-step explanation: you can take any percent and divide it by 100. So in this example you would divide 320/100 and it will give you 3.2
Erica finds a block of cheese in her
fridge. Originally, the block weighed
126 g, but there is only 60% of it left.
How many 10-g wedges can she cut
from the cheese that is left?
8
21
12
7
Answer:
7
Step-by-step explanation:
126 g is what you originally had which=60% of whats left
you have to find out how many 10 wedges she can cut from the cheese that is left over
Work Shown:to find how much is left you have to multiply 126 by 60% remember when you multiply you have to move the decimal, and decimal is moved twice, so the answer would be 75.60 after you were done solving it and the number that is closest would be 70 so you would multiply 10 by 7=70 and the reason you pick that is because it is closer to 75.60.
So 7 is the answer.
solve the equation. -4/9 f= -3
Answer:
27/4
Step-by-step explanation:
Multiply both sides by 9/(-4).
9/−4 * −4/9 f = 9/−4 * −3
f = 27/4
There are 63 students marching in a band, and they’re marching in 7 rows. How many students are in each row?
How many 3 digit numbers can be constructed from the digits 3 4 5 6 7
Answer:
60 numbers
Step-by-step explanation:
3 4 5 6 7
for everything starting with 3
345
346
347
354
356
357
364
365
367
376
375
374
we know the results will be the same
there was 12 numbers in that sequence
theres 4 other numbers it could start with
12 + (12x4) = 12x5
60
If anyone knows the answer, could you help LOL
What is the equation of the line that passes through the point (4, -7) and has a slope of -1/2 ?
Answer:
y = -1/2x - 5
Step-by-step explanation:
To solve this (and questions like it), use the formula for the equation of a line:
y=mx+c, where y and x are any given co-ordinates, m is the slope, and c is the y-intercept.
Since we know that the slope is -1/2, we can plug this into our equation to replace m:
y=mx+c
y=-1/2x+c
To find c, we plug in our co-ordinate (4,-7), so that c is the only unknown, and we can solve for it:
y=-1/2x+c
-7=-1/2(4)+c
-7=-2+c
c=-5
Now that we know c, we can finish off our equation:
y = -1/2x + c
y = -1/2x - 5
help aced and expert giving 20 points
Write the standard form of an equation with p=3sqrt2, theta=135.
a. x-y+sqrt2=0
b. x-y+6=0
c. x-y+3sqrt2=0
d. x+y+sqrt2=0
Its b In normal form of a straight line, the equation is given by where p is the perpendicular distance of the line from the origin and is the angle between the perpendicular line and the positive direction of the x-axis.
Which of the following is the equation of the circle shown below?
Answer:
Step-by-step explanation:
Center is 6, -2
Radius is 7
(x-6)^2 + (y + 4)^2 = 7^2
==============
Please give brainliest, I really want to rank up, thank you!
help please, also explain
Firstly, It says that the two triangles are similar .
The scale factor is 2 as 12 / 6 = 2
25 + 85 = 110
180 - 110 = 70.
70 degrees
Answer:
A: 70
Step-by-step explanation:
Step One: This problem is tricky because it makes it seem more difficult than it really is. Because these angles are similar through the SAS theorem, their angles are the same. Similar means they are proportional triangles, but for this problem, the most important thing to know is that the angles of both triangles are the same. This means we can use the angles from the first triangle exactly the same way for the second triangle.
Step Two: Now that we have that out of the way, we also need to know that all angles in a triangle add up to 180 degrees.
Step Three: Ok, so we have all the information we need, so now we can solve the problem. As I've said, the angles from the first triangle are the same for the angles in the second triangle. So, we would do 85+ 25= 110.
Step Four: Lastly, we would do 180 (since all angles add up to 180)-110 to figure out the missing angle: 180-110=70 degrees.
simplify - root (9+y)^2 if y <-10
Answer:
− √ ( 9 + y ) 2 > 1
Explanation:
− √ ( 9 + y ) 2 , where y < − 10
Simplify the expression,
− √ ( 9 + y ) 2 = − ( 9 + y ) = − 9 − y
When y < − 10 , − y > 10
Subtract 9 from both sides,
− 9 − y > 1 Hence,
− √ ( 9 + y ) 2 > 1
The value of the expression -√(9 + y)² is -9 which is more than -10. So, it is incorrect.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ -√(9 + y)²
Simplify the expression, then we have
-√(9 + y)² = 0
(9 + y) = 0
9 + y = 0
y = - 9
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
There are 45 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/5 of the remaining students gave their speeches. How many students still haven't given their speeches?
PLEASE HELP ME
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the expressions with their simplified forms.
Hence the matching expression is:
√2 * √8 = 4
√80 = 4√5
√5/√20 = 1/2
√20 = 2√5
Solving the rational expressionGiven the following expressions, we are to match with the values in box.
For the expression
√2 * √8 = √2 * √2*4
√2 * √8 = √2 * 2√2
√2 * √8 = 4
For the expression √80
√80 = √16*5
√80 = 4√5
For the expression √5/√20
√5/√20 = √5/√4*5
√5/√20 = √5/2√5
√5/√20 = 1/2
For the expression √20
√20 = √4*5
√20 = 2√5
Hence the equivalent matching expression are;
√2 * √8 = 4
√80 = 4√5
√5/√20 = 1/2
√20 = 2√5
Learn more on rational expression here: https://brainly.com/question/29061047
#SPJ1
Acellus
Find the measure of < 4.
44
158°
{
*4 = [?]
Fnter
<4=22°
Answer:
<4+158=180 co interior angle
<4=180-158=22°
Answer:
solution given:
<4+<158°=180°[co- interior angle]
<4=180°-<158°=22°
<4=22° is your answer
Randy had to hang a rectangular mirror on a wall. The length of his mirror was ⅚ yards long and ¾ yards wide. What is the area of the mirror?
Answer:
5/8
If you multiply 3/4 by 5/6 you will get 5/8
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
x=15
Angle (5x+6): 81
Angle (8x-39): 81
Step-by-step explanation:
5x+6=8x-39
add 39 to both sides
5x+45=8x
-5x on both sides
45=3x
divide both sides by 3
x=15
Simplify: 10(-5x+4)
Jejdjejehhe
Answer:
-50x + 40
Step-by-step explanation:
10(-5x+4)
-50x + 40
consider the following total cost functions TC=3Q^3-5Q^2+4Q+150 find the Fixed Cost Function(FC)
Answer: 150
Step-by-step explanation:
A fixed cost is referred to as a cost that does not change with the output level that is, it doesn't change when there is a rose or reduction in the amount of goods or services that are produced.
Since the total cost function is given as
TC=3Q³ - 5Q² + 4Q + 150, we can infer that from the equation the fixed cost is 150 while the variable cost is 3Q³ - 5Q² + 4Q
Helpppppppppppppooopp
Answer:
I can't see clearly
Step-by-step explanation:
____ + g − g = k
help
Answer: umm it k
Step-by-step explanation: k+g-g=k
g-g=0
k=k
Complete the square to find
the vertex of this parabola.
x2 - 8x - y - 4 = 0
([?], [ ]
Answer:
-20
Step-by-step explanation:
Complete the square to find the vertex of this parablola x^2-8x-y-4=0 {the second one of -20; so 4,-20}
Step-by-step explanation:
The answer would be (4,-20)
Fill in 4 and -20