Answer:
2
Step-by-step explanation:
[tex]\frac{3x}{4}[/tex] = [tex]\frac{3}{2}[/tex]
cross-multiply: 6x = 12
x = 2
Answer:
2 cabinets
Step-by-step explanation:
In 3/4 hour he builds 1 1/2 cabinets.
1/4 hours is 1/3 of 3/4 hour.
In 1/4 hour he builds 1/3 of 1 1/2 cabinets which is half a cabinet.
In 1 hour he builds 4 times what he builds in 1/4 hour, 4 * 1/2 cabinet = 2 cabinets.
Answer: 2 cabinets
A block of ice has a square top and bottom and rectangular sides. At a certain point in
time, the square top and bottom each have a length of 30 cm, which are decreasing at a
rate of 2 cm/h. At the same time, the height of the ice block is 20 cm and decreasing at
3 cm/h. How fast is the ice melting?
Answer:
[tex]\frac{dV}{dt} = 360 \ cm^3/h[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Volume of a Rectangular Prism: V = lwhCalculus
Derivatives
Derivative Notation
Differentiating with respect to time
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
[tex]l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h[/tex]
Step 2: Differentiate
Rewrite [VRP]: [tex]V = l^2h[/tex]Differentiate [Basic Power Rule]: [tex]\frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}[/tex]Step 3: Solve for Rate
Substitute: [tex]\frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)[/tex]Multiply: [tex]\frac{dV}{dt} = 360 \ cm^3/h[/tex]Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.
Hay it is meh plz save me
Answer:
The distance is 1/3 :)
Your welcome
Answer:
1/3
Step-by-step explanation:
Hope it helps :)
The owner of a health club decides to reduce the $35 membership fee by five dollars what is the approximate percent decrease in the fee
Answer:
14%
Step-by-step explanation:
5/35 = About 0.14
it's c
have a nice day mark me brainlist!
If a car needs 5 gallons to go 160 miles how many gallons would it need to go 96 miles
Answer:
3 gallons
Step-by-step explanation:
as u can travel 32 miles on 1 gallon, 32 x 3 = 96 so 1 x 3= 3
Someone help me I’m being timed
Answer:
A
Step-by-step explanation:
From midnight to 11:00 am, the temperature dropped 1.1°C each hour. If the temperature at 11:00 am was -16.1°C, what was the temperature at midnight?
Answer:
-41.4°C
Step-by-step explanation:
1.1 * 23 = 25.3
16.1 + 25.3 = 41.4
(I prefer working with positive numbers and just switch the sign at the end)
Hope this helped.
-Pepsi
The temperature at midnight was approximately -28.2°C, here the temperature dropped by 1.1°C each hour.
From midnight to 11:00 am, there are a total of 11 hours (since 11:00 am is 11 hours after midnight).
Given that the temperature dropped 1.1°C each hour, the total temperature drop is 1.1°C/hour × 11 hours = 12.1°C.
To find the temperature at midnight, we subtract the total temperature drop from the temperature at 11:00 am:
Temperature at midnight = Temperature at 11:00 am - Total temperature drop
= -16.1°C - 12.1°C
= -28.2°C
Therefore, the temperature at midnight was approximately -28.2°C.
Learn more about the temperature here:
https://brainly.com/question/28516935
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A person places $1380 in an investment account earning an annual rate of 8.6%,
compounded continuously. Using the formula V = Pent, where Vis the value of the
account int years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 10 years.
Answer:
3261.16
Step-by-step explanation:
r=8.6\%=0.086
r=8.6%=0.086
Move decimal over two places
P=1380
P=1380
Given as the pricipal
t=10
t=10
Given as the time
V=Pe^{rt}
V=Pe
rt
V=1380e^{0.086( 10)}
V=1380e
0.086(10)
Plug in
V=1380e^{0.86}
V=1380e
0.86
Multiply
V=3261.1618\approx 3261.16
V=3261.1618≈3261.16
Find the value of x in the isosceles triangle shown below.
Answer:
x=12
Step-by-step explanation:
How many 2/3 cup servings are in 1½ cups of cheese?
lol I know this but I'm too lazy
Answer:
2.25
Step-by-step explanation:
1.5 / 0.666 (repeating) = 2.25
Answer:
There are 2 one-quarter cup servings in 1 half cup
In 5.25 cups there are 21 one-quarter cup servings
Step-by-step explanation:
So 21 quarter cup servings divided by 2 quarter cup servings per half cup serving will yield the number of half cup servings.
21/2 is 10.5, so there are ten and half, half cup servings in 5.25 cups
A drawer contains 12 identical white socks, 18 identical black socks
and 14 identical brown socks. What is the least number of socks you
must choose, without looking, to be certain that you have chosen two socks of the same colour?
Answer:
2 brown
Step-by-step explanation:
The only time you can be so sure you've chosen 2 brown socks is when there are no more white socks and black socks. This means that to be 100% sure that you have chosen 2 brown socks you have to choose the 12 white socks and the 18 black socks and only then can you choose 2 brown socks without looking. Therefore, the total number of socks to choose from is:
Total number of socks = 12 white socks + 18 black socks + 2 brown socks
Total number of socks = 32 socks
A total picking of 32 socks is necessary to be sure without looking that 2 brown have already been chosen that way.
The least number of socks must choose, must choose without looking, to be certain that you have chosen two socks of the same color is 4.
What is least number?The least number is "the smallest or lowest number or degree".
According to the question,
A drawer contains 12 identical white socks, 18 identical black socks, and 14 identical brown socks.
In order to find the least number of socks you must choose, without looking, to be certain that you have chosen two socks of the same color.
Since, we have only 3 different colors to get pair of one color we need to take 4 socks so that last one must matches color of socks what we have already have in our hand.
Hence, it clearly shows the least number of socks must choose, without looking, to be certain that you have chosen two socks of the same color is 4.
Learn more about Least number here
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100 50 52 26 28 14
what number is next
Answer:
98 its multiply by 2 then subtract
Answer:
16
Step-by-step explanation: (if its from left to right)
Which angle(s) is/are congruent? There may be more than one answer
Answer:
if they all have the same angle they r congruent
Step-by-step explanation:
Mrs. Liang, the librarian, wants to compare the numbers of patrons who prefer e-books to paperback books. She decides to take a poll of every third adult with a child who arrives at the library for one of the four reading groups: toddlers, preschoolers, primary grades, and upper elementary. Which statement is true about her method of data collection?
Answer:
a
Step-by-step explanation:
She surveys adults with a child , preschoolers , Primary students, and upper elementary Students , and these are the majority of all the people that go to the library.
(it was also correct when i took it on Edge(nuiy!)
I hope this helped you a bit!!!!
Answer:
A
Step-by-step explanation:
The question is below the screen
9514 1404 393
Answer:
x = 12
Step-by-step explanation:
The square of the length of the tangent segment is equal to the product of lengths from the external common point to the two circle intersections of the secant.
x^2 = (2)(70+2)
x^2 = 144
x = √144
x = 12
The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750. a) Develop the appropriate null and alternative hypotheses. b) Assuming the standard deviation is known to be $2,500 and the significance level for the test is to be 0.05, what is the t-statistic
Answer:
The test statistics is [tex]z = -1[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The null hypothesis is [tex]H_o : \mu = \$30000[/tex]
The alternative hypothesis is [tex]H_a : \mu < \$ 30000[/tex]
The sample mean is [tex]\= x = \$29,750[/tex]
The standard deviation is [tex]\sigma = \$2,500[/tex]
The level of significance is [tex]\alpha =0.05[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{29750 - 30000 }{ \frac{ 2500}{ \sqrt{100} } }[/tex]
=> [tex]z = -1[/tex]
From the desired test, we have that:
a)
The null hypothesis is: [tex]H_0: \mu \geq 30000[/tex]The alternative hypothesis is: [tex]H_1: \mu < 30000[/tex]b) The t-statistic is t = -1.
Item a:
At the null hypothesis, we test if the average starting salary for clerical employees in the state is not less than $30,000, that is:
[tex]H_0: \mu \geq 30000[/tex]
At the alternative hypothesis, it is tested if the salary is less than $30,000, that is:
[tex]H_1: \mu < 30000[/tex]
Item b:
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 29750, \mu = 30000, s = 2500, n = 100[/tex]
Hence, the t-statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{29750 - 30000}{\frac{2500}{\sqrt{100}}}[/tex]
[tex]t = -1[/tex]
The t-statistic is t = -1.
A similar problem is given at https://brainly.com/question/13873630
Order the side lengths HI, IK, HJ, IJ, and K J from least to greatest.
Answer:
I think it's IH, IJ, JK, HJ, IK.
66% of 62 is...? **SHOW YOUR WORK** PLEASE HELP!! :'(
Step-by-step explanation:
divide 62 by 100 and then multiply that number by 66. I don't have a calculator on me rn sorry
Answer:
Fraction:
[tex]\frac{1023}{25}[/tex]
Decimal:
40.92
Mixed Number:
[tex]40\frac{23}{25}[/tex]
Step-by-step explanation:
66% is the same this as [tex]\frac{66}{100}[/tex]. You can simplify [tex]\frac{66}{100}[/tex] to [tex]\frac{33}{50}[/tex]. Then, find [tex]\frac{33}{50}[/tex] of 62, which is the same thing as [tex]\frac{33}{50}[/tex] x 62. You’ll get either of the three options, a fraction, decimal, or a mixed number, but all three are the same thing (you get to choose which one).
Hope this helps! :)
Claire currently earns $25 per hour at her work. Her boss has decided to give her a 15% raise. What is Claire's new hourly wage?
Answer:
$28.75
Step-by-step explanation:
15% of 25 is $3.75 and that + the 25 that is already there is $28.75
Answer:
$28.75
15% of $25. is $3.75....add $25.00 + $3.75= $28.75
Please help ASAP!!!!
Answer:
See attached pdf for answer
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIST
Answer:
A
Step-by-step explanation:
C OR A
Answer:
b
Step-by-step explanation:
Have a nice day!
Evaluate:5^-1 – 6^-1
with explanation please!!
Answer:
1/30
Step-by-step explanation:
5^-1 = 1/5
6^-1 = 1/6
1/5 - 1/6 = 1/30
Look at this table:
х
у
-19
2
2
11
8
16
Is this relation a function?
yes
no
Answer:
The answer is No
Step-by-step explanation:
Answer:
no because it has two of the same x values
Find the slope and the y-intercept of the line.
5x - 4y= -16
Write your answers in simplest form.
Step-by-step explanation:
Use the slope-intercept form
y=mx+b
to find the slope m and y-intercept b
Slope: 5/4
y-intercept: (0,-4)
If h(x)= -4x-10, find h(-5).
Answer:
h= −4x−10/x
Step-by-step explanation:
Question in picture below will give brainly
Answer:
only student ll (2)
Step-by-step explanation:
i really need help asap
Answer:
-7=k
Step-by-step explanation:
5k-3k-2=-16
2k-2=-16
2k=-14
k=-7
rewrite in standard form y-2=4/3(x-1)
Answer:
y= 4/3x + 2/3
Step-by-step explanation:
distribute the 4/3 into the parenthesis. Rearrange and solve
A restaurant surveyed consumers to determine if they like hot or cold beverages for breakfast. 60 consumers like hot beverages, and 40 like cold beverages, and 12 neither, how many consumers were surveyed
Answer:
112
Step-by-step explanation:
You just have to add all of those numbers
60 +40 =100
100 + 12= 112.
Answer:
92 people
Step-by-step explanation:
Since there is 20 people who liked both hot and cold beverages, we can subtract from the people who like hot beverages and people who like cold beverages to find the people who ONLY like hot beverages and the people who ONLY like cold beverages.
People who only like cold beverages:
40 - 20 = 20
People who only like hot beverages:
60 - 20 = 40
Summing it all up:
40 + 20 + 20 + 12 = 92 people total
I hope this helps! :)
Round 4,368 to the nearest ten
Answer:
4,370
Step-by-step explanation:
If you are looking for the nearest ten in 4,368, you round up the number 8. Eight is greater than five and not less than four, therefore, the answer is 4,370. Good Luck on whatever assignment you're doing!
the FCMS basketball team has 21 wins and 14 losses write the ratio of wins to total in simplest form. Answer Choices: 21/14 21:35 3/5 3/2.
Answer:
d. 3/2
Step-by-step explanation: