Answer:
(x - 8)² - 164
Step-by-step explanation:
Given
x² - 16x - 100
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 16x
= x² + 2(- 8)x + 64 - 64 - 100
= (x - 8)² - 164
Write an exponential equation that represents the given situation. You invest $1000 and it increases 12% each year. Can you teach me it because i need to show my work, thank you
Answer:
FV= 1,000*(1.12^n)
Step-by-step explanation:
Giving the following information:
Initial investment= $1,000
Increase rate= 12% = 0.12
We need to formulate an exponential equation to show the value in n years.
To calculate the Future Value, we need to use the following formula:
FV= PV*(1+i)^n
Being:
FV= Future Value
PV= Initial Investment
i= increase rate
n= number of periods
FV= 1,000*(1.12^n)
For example, for one year:
FV= 1,000*(1.12^1)
FV= $1,120
For 3 years:
FV= 1,000*(1.12^3)
FV= $1,404.93
On Tuesday, Lisa spent $35.78 at the
grocery store. Later in the week, she
returned. At the end of the week, she
had spent $96.52 at the grocery
store. How much did Lisa spend on
her second trip?
Answer:
$60.74 on the second trip.
Step-by-step explanation:
Well we know that she spent $35.78 on the first trip.
We DON’T know how much she spent for the second trip so lets put it as “x” for unknown.
We know she spent a TOTAL of $96.52 for those two trips combined.
So we can make a simple equation
35.78+x=96.52
Now solve the equation.
Subtract 35.78 on both sides to isolate the X
35.78-35.78=0
96.52-35.78= 60.74
So if you plug everything in
0+x=60.74
0 is nothing so we can get rid of that
x=60.74
A washing machine can hold kg of laundry in each load. If Randy has
6 kilograms of laundry, how many loads does he need to do?
Answer:
6 loads
Step-by-step explanation:
Answer:
she will need to do 6 loads
Does anyone know how to do 3 & 4
Answer:
3. HGK
4. k=17
Step-by-step explanation:
PLEASE HELP THIS IS URGENT!!!!!!!
Answer:
b
because the square tote works
Step-by-step explanation:
next
PLEASE LOOK AT THIS PICTURE!!! NEED HELP ASAP
Answer: -1/2
Step-by-step explanation: The slope is -1/2 because the intercepts for each point on the line have a rise of -1/2
I really need a tutor, but I don’t have the option, help:(
Answer:
EeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEe
Step by Step Explanation:
EeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEeEe
Hey can you help me fast!!
Which of the following is a true statement about the angles in the figure below?
Answer:
The statement which is true about the angles in the figure is;
The measure of Angle 4 is 137 degrees
Step-by-step explanation:
From the question diagram, we have;
The interior angles of the triangle are;
43°, 56°, and ∠1
Therefore, by the angle sum theorem, we have;
∠1 = 180° - 43° - 56° = 81°
∠1 = 81°
The measure of ∠1 is 81°
By the sum of angles on a straight line, we have;
∠1 + ∠2 = 180°
∴ 81° + ∠2 = 180°
∠2 = 180° - 81° = 99°
The measure of ∠2 is 99°
Similarly, for the angles 56° and ∠3 which are on a straight line, we have;
56° + ∠3 = 180°
∠3 = 180° - 56° = 124°
The measure of ∠3 is 124°
For the angles 43° and ∠4 which are on a straight line, we have;
43° + ∠4 = 180°
∠4 = 180° - 43° = 137°
The measure of ∠4 is 137°
Therefore the true statement is the measure of angle 4 is 137 degrees.
The equations y = (- 16t - 2)(t - 1) and y = - 16t ^ 2 + 14t + 2 represent the height in feet of a beach ball thrown by a child as a function of time, tin seconds .
Answer:
0.4375secs
Step-by-step explanation:
Given the height of the beach ball in feet expressed as;
y = -16t^2+14t+2 as the height that represents the height of the ball, we can look for the time taken by the ball to reach its maximum height
At the max height, the velocity is zero i.e dt/dt = 0
dy/dt = -32t + 14
0 = -32t + 14
32t = 14
t = 14/32
t = 0.4375secs
Hence it took the ball 0.4375secs to reach its maximum height
1) Nine months ago Alexa deposited $7,000 in a three-year CD. She has received $224.16 in
interest. She withdraws $1,000. This is before the CD matures, so she pays a $250 penalty.
What is her balance after the withdrawal?
Answer:
the balance after the withdrawal is $5,974.16
Step-by-step explanation:
The computation of the balance after the withdrawal is shown below:
= Deposited amount + interest received - withdrawn amount - penalty charges
= $7,000 + $224.16 - $1,000 - $250
= $5,974.16
Hence, the balance after the withdrawal is $5,974.16
We used the above formula so that the correct value could come
joey took a total of 12 pages of notes during 3 hours of class. after attending 4hours of class, how many pages of notes will joey have in his notebook
HELPPP
Answer:
If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.
Step-by-step explanation:
By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.
Izzati, Ai Ling, Rina and Susan share some stamps. Izzati and Ai Ling take 1/4 and 1/8 of the total number of stamps respectively. After that, Rina takes 7/10 of the remaining stamps. Eventually, all the remaining stamps are taken by Susan. If Susan gets 42 stamps, find the total number of stamps.
Answer:
224 stamps
Step-by-step explanation:
Let total number of stamps = x
1/4 + 1/8 = (2 + 1) /8 = 3/8
3/8 of x = 3x/8
Remaining stamp = x - 3x/8 = (8x-3x)/8 = 5x/8
Rina = 7/10 of 5x /8
Rina = 7/10 * 5x /8 = 35x / 80
Remaining stamps = 5x/8 - 35x/80
Remaining stamps = (50x - 35x)/80 = 15x /80
15x / 80 = 42
15x = 80 * 42
15x = 3360
x = 3360 / 15
x = 224 stamps
the diagram shows a door that has a window in it. the front faces of the door and the window are similar rectangles the dimensions shown. what is the height of the window in centimeters?
Answer:
Step-by-step explanation:
Write an equation of the line with a slope of −7 and y-intercept of 1.
Answer:
y = -7x + 1
Step-by-step explanation:
Remember the formula for slope-intercept form: y = mx+ b
m is equal to the slope value
b is equal to the y-intercept value
Meaning, when you substitute the values in, you get:
y = -7x + 1
Answer:
y = -7x - 1 is the desired equation.
Step-by-step explanation:
Choose the form of the equation of a straight line that requires the least amount of work. In this particular case we are given the slope (-7) and the y-intercept (1), and so use the slope-intercept form y = mx + b:
y = -7x - 1 is the desired equation.
3. Janice raked leaves for 4 hours and
earned $30. What is Janice's pay rate
for raking leaves?
A $6.75 per hour
B $7.25 per hour
c $7.50 per hour
D $7.75 per hour
Answer quick plzzz
Answer:
£7.50 per hour
answer: c
Step-by-step explanation:
hope this helps!
have a good day :)
An experiment has 12 possible outcomes, all equally likely. An event can occur in 6 ways. Find the probability that the event occurs.
The probability that the event occurs is (Type an integer or a decimal. Do not round.)
This is on mymathlab please help
Answer:
P(event occuring) = 0.5
Steps:
P(event occuring) = 6/12
P(event occuring) = 1/2
P(event occuring) = 0.5
Probabilities are used to determine the chance of an event.
The probability that the event occurs is 0.5
The given parameters are:
[tex]\mathbf{Favorable\ Outcomes = 12}[/tex]
[tex]\mathbf{Outcomes = 6}[/tex]
So, the probability that the event occurs is:
[tex]\mathbf{Pr = \frac{Outcomes}{Favorable\ Outcomes}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{6}{12}}[/tex]
Simplify
[tex]\mathbf{Pr = \frac{1}{2}}[/tex]
Divide
[tex]\mathbf{Pr =0.5}[/tex]
Hence, the probability that the event occurs is 0.5
Read more about probabilities at:
https://brainly.com/question/11234923
Each wooden letter block is sold according to size. What is the volume of the letter shown?
O A. 48,000 mm
o
B. 16,000 mm
C. 24,000 mm
O
D. 28,000 mm
Answer:
24000
Step by step
20×10×80 = 16000+ 40×10×20=8000 = 24000
Help.Right answer gets brainliest.
Answer:
D it should be D i had a similar question
To make the chocolate shake, Dona added 40 mL of chocolate syrup, 200 mL of milk, and 400 mL of water. How much milk, in liters, would be required if she uses 450 mL of water? a. 0.225 c. 225 b. 0.45 d. 0.05
Answer:
Step-by-step explanation:
Ratio of water and milk are in direct proportion
200 : 400 :: x : 450
Product of means = product of extremes
400 * x = 200 * 450
x = [tex]\frac{200*450}{400}[/tex]
= 225 ml of milk
1 ml = 1/1000 l
225 ml = 225 ÷ 1000 = 0.225 l
Home Depot is delivering washing machines to buyers. The washing machines are rectangular prisms that measure 5 ft x 5 ft x 6 ft. These machines are then packed into a delivery truck with dimensions of 30 ft x 15 ft x 12½ ft.
What is the volume of a washing machine Please show work
Step-by-step explanation:
Volume of Washing machine = Volume of Rectangle
= Length x Width x Height
= 5 x 6 x 6
[tex] = 180ft^{3} [/tex]
please help with this question!?!?
Answer:
-2a
Step-by-step explanation:
a - 6a becomes -5a, add 3a becomes -2a. The expression equivalent to a - 6a + 3a is -2a.
Answer:
-2a
Step-by-step explanation:
I think I think I think
What is the total displacement of a student who walks 3 blocks east, 2 blocks north, 1 block west, and then 2 blocks south?
Answer:
two blocks east
Step-by-step explanation:
the north and south cancel out and then 3 blocks east - 1 block west = 2 blocks east
given the a^b=x, evaluate the following.
a^b+2
Answer:
22+2
22+2
=6
Step-by-step explanation
hope this is right
Someone please help me ASAP !!!!!!
Answer:
No, as the one becomes x^2/x^3 and the other is x^3/x^2, which is not equivalent.
Step-by-step explanation:
please anybody can help me anyone i need your help to solve this question
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 21p^2 + 3qp
Explanation:
To find the area of the triangle you have to do LxHx1/2
Length = 7p+q
Height = 6p
(7p+q)*6p*1/2 = 21p^2+3qp
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
The answer is 3p(7p+q)
Step-by-step explanation:
If we first take given values as an area of a rectangle, we get: 7p+q times 6p
If we construct the rectangle, we can see that the given triangle takes exactly half of the area of the rectangle, thus the area of a triangle is:
(7p+q times 6p)/2
6p(7p+q)/2=3p(7p+q)
I hope it helped :)
PLEASE HELP ME WITH PROOFS . DONT ANSWER IF YOU DONT KNOW. BRAINLY FOR CORRECT ANSWER
Step-by-step explanation:
Does this help?
Heya!
[tex] \underline{ \underline{ \text{QUESTION : }}}[/tex] In the given quadrilateral PQRS, the mid-points of the sides PQ , QR , RS and SP are A , B , C and D respectively. Prove that ABCD is a parallelogram.
Answer:
See Below.
Step-by-step explanation:
We are given that A, B, C, and D are the midpoints of sides PQ, QR, RS, and SP, respectively.
And we want to prove that ABCD is a parallelogram.
By the definition of midpoint, this means that:
[tex]SD\cong DP, \, PA\cong AQ, \, QB\congBR, \, \text{ and } RC\cong CS[/tex]
To prove, we can construct a segment from S to Q to form SQ. This is shown in the first diagram.
By the Midpoint Theorem:
[tex]DA\parallel SQ[/tex]
Similarly:
[tex]CB\parallel SQ[/tex]
By the transitive property for parallel lines:
[tex]DA\parallel CB[/tex]
Likewise, we can do the same for the other pair of sides. We will construct a segment from P to R to form PR. This is shown in the second diagram.
By the Midpoint Theorem:
[tex]AB\parallel PR[/tex]
Similarly:
[tex]DC\parallel PR[/tex]
So:
[tex]AB\parallel DC[/tex]
This yields:
[tex]DA\parallel CB\text{ and } DC\parallel AB[/tex]
By the definition of a parallelogram, it follows that:
[tex]ABCD\text{ is a parallelogram.}[/tex]
Answer:
this is your answer look it once
PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
on the fordt one its the sake imagine but reflected on a differemt angle and different on the dots is its building uo mord on second one
Which angle type is NOT shown in the diagram?
A) acute
B) obtuse
C) right
D) straight