Answer:
z = 156
Step-by-step explanation:
y² = 65²-25² = 4225 - 625 = 3600
(x+25)²-65² = z²
x²+50x+625-4225 = z²
x²+50x-3600 = z² ....(1)
x²+60² = z²
x²+3600 = z² ....(2)
(1)-(2): 50x - 7200 = 0
50x = 7200
x = 144
check: x² + y² = z² 144² + 60² = 24336 = z² z = 156
(25+144)²-65² = z² = 28561 - 4225 = 24336 z = 156
Michelle deposited $3,400 into an account. She made no additional withdrawals or deposits. Michelle earned 1.95% annual simple
interest on the money in the account
What was the balance in her account at the end of 2.5 years?
Enter the amount in the account in the box.
$_______
Answer: 96 cents or 0.96
Step-by-step explanation:
When in a money problem like this and it is telling you to find the tax, fee, or and bonus you move the decimal in front of the number or decimal and round to the nearest penny and in this situation .195 rounds to .96
The balance in her account at the end of 2.5 year should be considered as the $3,568.
Calculation of the balance in the amount:Since deposited amount si $3,400
The interest rate is 1.95%
And, the time period is 2.5 years
So, here the balance should be like
[tex]= 3400 \times (1 + 1.95\%)^{2.5[/tex]
= $3,568
hence, The balance in her account at the end of 2.5 year should be considered as the $3,568.
Learn more about interest rate here: https://brainly.com/question/24002393
Find the length of the third side. If necessary, round to the nearest tenth.
16 and 12
Answer:
Third side = 3√3
Step-by-step explanation:
Apply pythagorean theorem, which is a² + b² = c²
Where,
a = ?
b = 3
c = 6
Substitute
a² + 3² = 6²
a² = 6² - 3²
a² = 27
a = √27
a = √(9 × 3)
a = 3√3
5x3 + 9x² - 13x - 2
As x approaches --, f(x) approaches
As x approaches +o, f(x) approaches
9514 1404 393
Answer:
(x, y) → (-∞, -∞), (+∞, +∞)
Step-by-step explanation:
The expression is of odd degree with a positive leading coefficient. It will have a generally upward slope (/). That is, the sign of f(x) will match the sign of x for large-magnitude values of x:
x → -∞, f(x) → -∞
x → ∞, f(x) → ∞
Question 3 of 10
You roll two number cubes.
Let event A = You roll an even number on the first cube.
Let event B = You roll a 4 on the second cube.
Are the events independent or dependent? Why?
A. Independent, because the outcome of the first roll doesn't affect
the outcome of the second roll.
B. Independent, because they have no outcomes in common.
C. Dependent, because both cubes have six sides.
D. Dependent, because 4 is an even number.
Answer:
D
Step-by-step explanation:
They are both even numbers the 4 is seperated into 2,2 and if 4 is an even and event A is even it would be dependent
What is the measure of angle ACB?
Answer: 48
Step-by-step explanation:
A soft-drink machine is regulated so that the amount of drink dispensed is approximately normally distributed with known standard deviation, sigma. Given a random sample of n drinks and the sample mean, x-bar, you find a 90% confidence interval for the mean of all drinks dispensed by this machine. Then you calculate a 90% confidence interval (same confidence level) using a larger sample, for example (n 20) drinks. Also, you notice that the sample mean, x-bar, is the same for both samples.
Required:
Was this a reasonable decision?
Answer:
This is a reasonable decision because the sample size has no effect on the 90% confidence interval
Step-by-step explanation:
90% confidence interval
larger sample size = 20
condition : sample mean ( x-bar ) is the same for both samples
This is a reasonable decision because the sample size has no effect on the 90% confidence interval
from condition 1 :
Amount of drink dispensed is normally distributed with known standard deviation , given a random sample of n drinks and the sample mean at a confidence interval of 90%
for condition 2 :
sample size = 20
mean = 2.25 ( assumed value )
std = 0.15 ( assumed value )
Z = 1.645 ( Z-value )
determine the 90% confidence interval
= mean ± z [tex]\frac{std}{\sqrt{n} }[/tex]
= 2.25 ± 1.645 [tex]\frac{0.15}{\sqrt{20} }[/tex]
= 2.25 ± 0.0335 = ( 2.2835 , 2.2165 )
What is the first step you would take to solve the equation shown? n/4 - 4 = -12. Add 4. Subtract 4. Multiply by 4. Divide by 4 WHO EVER ANSWERS I WILL MARK BRAINLIEST
Answer:
Divide by 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Fractions can get messy.
I like to clear fractions, so I would multiply both sides by 4
n - 16 = -48 multiple by 4
n = -48 + 16 add 16 to both sides
n = -32 collecting terms
what is the answer for this? Select all the fractions that are equivalent to 45. Use the area models to help.
Answer: bro you have to submit a picture or some more information baceuse nobody will be able to answer your question with only one number (45)
Step-by-step explanation:
What is the value of x in the diagram below?
Answer: D: 7
Step-by-step explanation:
14/2 = 7
49/7 = 7
LITRALLY HELP PLS
Describe how you calculated surface area. Provide a few examples of how the concept of surface area can be used in the real world!!
Answer:
Halo!!! i wrote my answer below your epic btw
Step-by-step explanation:
you first have to break up the surface of the shape into smaller shapes so that they are easier to work with. you then calculate all of the shapes and add them together. this can be used in the real world to find the area of houses when you need to find how much space an area of the house has.
PS:If u didnt learn to find surface area this way insert anything you want into the beggining sorry i dont know what youve been learning
wuestions
(a) An angle measures 51°. What is the measure of its supplement?
(b) An angle measures 27°. What is the measure of its complement?
Answer:
a - 129
b - 63
Step-by-step explanation:
for a - supplementary angles add up to equal 180
so to find the measure of its supplement we subtract the given angle from 180 180-51=129
so the measure of a supplement angle is 129
for b - complementary angle add up to equal 90
so to finds the measure of its complement we subtract the given angle from 90
90-27=63
so the measure of its complement is 63
Answer:
(a) An angle measures 51°. the measure of its supplement=180-51=129°
b) An angle measures 27°. the measure of its complement=90-27=63°
A chef placed an order for 50 pounds of fish. He calculated that he will need 20 3/5 pounds for lunch orders. How much fish will the chef have left for dinner orders?
Help please with this
Answer:
Step-by-step explanation:
the solution is b
you purchase 2 bottles of sunscreen and a hat. the hat cost $6.50. You pay 6% sales tax you pay a total of $16.43. How much does one of the bottles of sunscreen cost
Answer: 1 bottle costs 4.50
Step-by-step explanation:
100(16.43/106)= 15.5
2x+6.50=15.50
What is the total deposit on the deposit slip below?
Avery got on the bus at 5:15 P.M. The trip took 80 minutes. Then she walked for 53 minutes to get home. At what time did Avery arrive at home?
Answer:
7:28PM
Step-by-step explanation:
80 minutes = 1 hour and 20 mins
5:15PM + 1 hour and 20 minutes = 6:35PM
6:35 + 53 = 6:88
6:88PM = 7:28PM
Can someone help pls
Answer: b
Step-by-step explanation:
To make purple paint you must mix 3 cups of blue paint with 2 cups of red paint. Sally plans to use 9 cups of blue paint in her batch of purple paint. Which proportion could be used to find out how much red paint Sally will need to make purple paint?
Answer:
There will need to be 6 cups of red paint.
9 : 6
Step-by-step explanation:
You tripled the size of the batch to make it nine cups of blue paint so then just mulitply 2 * 3.
Hope this helped. c:
Given the equitation 3x+6x=30. What is the slope and y intercept.
Answer:
slope-5/3-1 2/3
y-intercept=-2
Step-by-step explanation:
hope that helps if correct please mark as brainliest thank you
19NBoli
How can you determine if a triangle on the coordinate
plane is a right triangle?
Answer:
You will know when two lines exactly verticle and horizontle meet together that one intersection will be a right angle it will be exactly 90 degrees.
You will know when two lines exactly verticle and horizontle meet together that one intersection will be a right angle it will be exactly 90 degrees.
I need help plz 6x-5=2x+7
Answer: x=3
Step-by-step explanation; Add 5 to both sides of the equation
6x-5+5=2x+7+5
simplify: add the numbers
6x-5+5=2x+75 = 6x=2x + 7+5
6x =2x + 7+5
6x=2x +12.
subtract 2x from both ides of the equation: 6x=2x + 12
6x - 2x =2x + 12-2x6
combine like terms u should get 4x= 12
divided both sides of the equation by the same term 4x=12 4x/4 =12/4
Cancel terms that are in both the numerator and denominator u should get x=12/4
divided the numbers and ur answer is X=3
Graph the solution set of the inequality 1/2y < -3
Answer:
y < − 6 ?
Step-by-step explanation:
Its a straight line on graph so it's linear
Answer:
w
Step-by-step explanation:
Triangle KLM is similar to triangle NOP. Find the measure of side NO. Round your
answer to the nearest tenth if necessary.
M
P Р
O
1
23
51.6
38
N
Answer:
[tex]NO= 31.2[/tex]
Step-by-step explanation:
See attachment for triangle
From the attachment, we have:
[tex]KL = 51.6[/tex]
[tex]LM= 38[/tex]
[tex]OP = 23[/tex]
Required
Find NO
This will be calculated using the following equivalent ratios:
[tex]NO : OP = KL : LM[/tex]
This gives:
[tex]NO : 23= 51.6: 38[/tex]
Express as fraction
[tex]\frac{NO }{ 23}= \frac{51.6}{ 38}[/tex]
Make NO the subject
[tex]NO= \frac{51.6}{ 38} * 23[/tex]
[tex]NO= \frac{51.6* 23}{ 38}[/tex]
[tex]NO= \frac{1186.8}{ 38}[/tex]
[tex]NO= 31.2[/tex] --- approximated
Answer:
x≈ 16.9
Step-by-step explanation:
Help me with this geometry
Answer:
x = 11.2
Step-by-step explanation:
Since, ΔPQR ~ ΔVST,
By the property of similar triangles, corresponding sides of these triangle will be proportional.
[tex]\frac{PQ}{VS}=\frac{QR}{ST}[/tex] ---------(1)
Since, scale factor = [tex]\frac{\text{Dimension of the image figure}}{\text{Dimension of the original}}[/tex]
[tex]\frac{2}{5}[/tex] = [tex]\frac{PQ}{VS}[/tex]
Therefore, from equation (1)
[tex]\frac{2}{5}=\frac{x}{28}[/tex]
x = [tex]\frac{28\times 2}{5}[/tex]
x = 11.2
Factor out completely the quadratic function : NEED THIS ASAP WILL GIVE BRAINLIEST
Answer:
Here is your answer
Step-by-step explanation:
3.(x+3)(x+5)
4.(x-8)(x+8)
5.(x+6)^2
w^2 -8 if w=7
Answer whenever
Answer:76
Step-by-step explanation:
Hope it help correct me if i am wrong
Help for brainliest!
Answer:
I believe it's d but I could be wrong but I'd try it
can someone help me with this (will give brainliest)
please view the attached image
Answer:
rate: 4 rate: -2
starting: 3 starting: 30
y= -4x + 3 y= -2x + 30
rate: 2 rate: 6
starting: -4 starting: 6
y= 2x -4 y= 6x + 6
Step-by-step explanation:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
^equation to find slope
To also find b, the starting value, you need to take any point given and substitute it back into the equation with the slope.
However, these problems give you the y-int already [it is the point like (0,y)]
7-3/1-0 = 4/1
rate: 4
starting: 3
y= 4x + 3
28-30/1-0= -2/1
rate: -2
starting: 30
y= -2x + 30
-2 - (-4)/1-0 = 2/1
rate: 2
starting: -4
y= 2x -4
6-0/1-0 = 6/1
rate: 6
starting: 6
y= 6x + 6
In the equation 6x – 2 = –4x + 2, Spencer claims that the first step is to add 4x to both sides. Jeremiah claims that the first step is to subtract 6x from both sides. Who is correct? Explain.
Answer:
Spencer is correct
Step-by-step explanation:
because you always go for the lowest number
Answer:
Spencer
Step-by-step explanation:
Spencer got it corret because the answer is x=2/5
but jeremiah subtracted 6x so he got x=1/3
Hope this helps :)
Can I have brainliest Plsssss
Write the equation for a parabola that has a vertex (2, -1) and a directrix of x = 5. The standard form for this parabola is (x - h)* = 4p(y-k) (y- k) = 4p(x - 1) DONE
Answer:
Step-by-step explanation:
Answer:
x=h-p
Step-by-step explanation:
bk