A. The temperature at noon will be 6°F.
B. The thing that represents zero in this situation is when the temperature is neither raised nor dropped and it's at the initial stage.
How to calculate the temperature?Temperature is the measure of how hot or cold something is expressed in terms of one of several scales, which include Fahrenheit and Celsius. The direction in which heat energy will spontaneously flow is indicated by temperature.
A. From the information, by 6:00 A.M., the temperature had dropped 4 F, and then the temperature raised 10 F by noon.
The temperature at noon will be:
= -4°F + 10°F
= 6°F
The temperature at 0 simply means the initial temperature.
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two more than a certian number is 15 less than the product of 7/8 and the number
The number is -136.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Let the number be x.
Given that, two more than the number, x, is 15 less than the product of 7/8 and the number, therefore:
x + 2 = (7/8)x - 15
x - (7/8)x = -15 -2
x/8 = -17
x = -136
Hence, the number is -136.
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[(1 1/4 - 3/4) · (- 2/3) ³] ÷ (-4)
What is the value of the expression
Answer:
Step-by-step explanation:
1 1/4-3/4=5/4-3/4=(5-3)/4=2/4=1/2
(-2/3)3=-8/27
The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel.
4. Which of the triangles below is not a right triangle?
3 cm, 4 cm, 5 cm
27 cm, 36 cm, 45 cm
6 ft, 8 ft, 12 ft
√6in, √10in, √4in
Answer:
3cm,4cm,5cm
Step-by-step explanation:
5 is the longest side ( the hypotenuse)
and by Pythagoras theorem x=√(3²+4²)
= √(9+16)
=√(25)
= 5
so 3cm,4cm,5cm is a right angle triangle.
x=√(27²+36²)
=√(729+ 1296)
=√2025
=45
so 27cm,36cm,45cm is a right angle triangle
to find out if a triangle is a right angle triangle try applying the law of Pythagoras theorem to see if it matches, and if it matches then it is a right angle triangle but if it doesn't then it's not a right angled triangle Try for the last two and put it down the comments I'll try to checkwhat was the blackbird doing in the school library\?
What is the distance between Texas 2.6* 10 to the 5th power square miles and Rhode Island 1.21 * 10 to the 3rd power square miles what is the difference between them I need it in scientific notation
The distance between Texas and Rhode Island will be;
⇒ 2.59 × 10⁵ square miles
What is mean by Subtraction?
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Texas 2.6* 10 to the 5th power square miles and Rhode Island 1.21 * 10 to the 3rd power square miles.
Now,
Since, Texas 2.6* 10 to the 5th power square miles and Rhode Island 1.21 * 10 to the 3rd power square miles.
Hence, The distance between Texas and Rhode Island will be find as;
⇒ 2.6 × 10⁵ - 1.21 × 10³
⇒ 260 × 10³ - 1.21 × 10³
⇒ (260 - 1.21) × 10³
⇒ 258.79 × 10³
⇒ 2.59 × 10⁵ square miles
Thus, The distance between Texas and Rhode Island will be;
⇒ 2.59 × 10⁵ square miles
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are 25/150, 28/154, or 27 62 equivalent to each other?
The fractions 25/150, 28/154, or 27/62 aren't equivalent.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In order to know if they're equivalent fractions, we can convert them to percentage. This will be:
25/150 × 100 = 16.7%
28/154 × 100 = 18.2%
27/62 × 100 = 43.5%
In this case they're not equivalent.
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Find log0.81 rounded to the nearest tenth.
The value of the logarithm of 0.81 for logarithm properties is equal to - 0.1.
How to determine the value of a logarithm
Herein we must use logarithm properties to simplify a given logarithm and solve the resulting expression. The properties to be used in this question are described below:
㏒ (a / b) = ㏒ a - ㏒ b
㏒ aᵇ = b · ㏒ a
First, write the logarithmic equation:
㏒ 0.81
㏒ 81 / 100
Second, use the logarithmic property for a division:
㏒ 81 - ㏒ 100
Third, use the logarithmic property for a power:
㏒ 3⁴ - ㏒ 10²
4 · ㏒ 3 - 2 · ㏒ 10
4 · ㏒ 3 - 2
4 · 0.477 - 2
- 0.092
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NO LINKS!! Fredrico's Bank will you decide how often your interest will be computed, but with certain restrictions. Read the following options. What is the best deal after one year? Justify your answer.
Compounded quarterly; annual interest rate is 7.875%
========================================================
Explanation:
Let's say we are depositing P = 100 dollars, and we leave it in the account for a timespan of t = 1 year.
This will apply for options A through E.
-------------------
If we go with option A, then we would have n = 1 and r = 0.08
Use the compound interest formula to get the following:
A = P*(1+r/n)^(n*t)
A = 100*(1+0.08/1)^(1*1)
A = 108
We'll have $108 dollars in the account at the end of 1 year if we go with option A. The amount of interest only is A-P = 108-100 = 8 dollars.
-------------------
For option B, we have: n = 4 and r = 0.07875
A = P*(1+r/n)^(n*t)
A = 100*(1+0.07875/4)^(4*1)
A = 108.110625948487
A = 108.11
So far option B is slightly better since you've earned an extra $0.11, aka 11 cents.
-------------------
For option C, we have: n = 4 and r = 0.07875
A = P*(1+r/n)^(n*t)
A = 100*(1+0.0775/12)^(12*1)
A = 108.031299777277
A = 108.03
This amount is less compared to the $108.11 with option B. Therefore, option B is still the best so far.
-------------------
For option D, we have: n = 52 and r = 0.07625
A = P*(1+r/n)^(n*t)
A = 100*(1+0.07625/52)^(52*1)
A = 107.917207523206
A = 107.92
This is worse compared to option C.
Option B is still the best so far.
-------------------
For option E, we have: n = 365 and r = 0.075
A = P*(1+r/n)^(n*t)
A = 100*(1+0.075/365)^(365*1)
A = 107.787584644
A = 107.79
---------------------
Here's a table comparing the balance after 1 year for options A through E. Those balances all have a starting point of $100 as the deposit.
[tex]\begin{array}{|c|c|} \cline{1-2}\text{Option} & \text{Balance after 1 year}\\\cline{1-2}A & \$108\\\cline{1-2}\boldsymbol{B} & \boldsymbol{\$108.11}\\\cline{1-2}C & \$108.03\\\cline{1-2}D & \$107.92\\\cline{1-2}E & \$107.79\\\cline{1-2}\end{array}[/tex]
Option B is the best choice earning the most ($108.11) if you deposit $100.
There's nothing special about the $100, so feel free to change it to something else to try other starting deposits. You'll find that option B will still provide the highest return.
Answer:
B
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedUse the Compound Interest Formula with the given values for each option to calculate a final equation where A equals a multiple of P.
The option with the greatest coefficient of P is the account which yields the highest interest after one year, and is therefore the best deal.
Option AGiven:
r = 8% = 0.08n = 1 (annually)t = 1 yearSubstitute the given values into the formula:
[tex]\implies \sf A=P\left(1+\dfrac{0.08}{1}\right)^1[/tex]
[tex]\implies \sf A=1.08P[/tex]
Option BGiven:
r = 7.875% = 0.07875n = 4 (quarterly)t = 1 yearSubstitute the given values into the formula:
[tex]\implies \sf A=P\left(1+\dfrac{0.07875}{4}\right)^{4 \cdot 1}[/tex]
[tex]\implies \sf A=P\left(1.0196875)^4[/tex]
[tex]\implies \sf A=1.081106259P[/tex]
Option CGiven:
r = 7.75% = 0.0775n = 12 (monthly)t = 1 yearSubstitute the given values into the formula:
[tex]\implies \sf A=P\left(1+\dfrac{0.0775}{12}\right)^{12\cdot 1}[/tex]
[tex]\implies \sf A=P\left(1.006458333\right)^{12}[/tex]
[tex]\implies \sf A=1.080312998P[/tex]
Option DGiven:
r = 7.625% = 0.07625n = 52 (weekly)t = 1 yearSubstitute the given values into the formula:
[tex]\implies \sf A=P\left(1+\dfrac{0.0765}{52}\right)^{52\cdot 1}[/tex]
[tex]\implies \sf A=P\left(1.001471154\right)^{52}[/tex]
[tex]\implies \sf A=1.079441506P[/tex]
Option EGiven:
r = 7.5% = 0.075n = 365 (daily)t = 1 yearSubstitute the given values into the formula:
[tex]\implies \sf A=P\left(1+\dfrac{0.075}{365}\right)^{365\cdot 1}[/tex]
[tex]\implies \sf A=P\left(1.000205479\right)^{365}[/tex]
[tex]\implies \sf A=1.077875846P[/tex]
Summary[tex]\begin{array}{|c|l|}\cline{1-2} \sf Answer\;Option & \sf Coefficient\;of\;P\\\cline{1-2} A & 1.08\\\cline{1-2} B & 1.081106259\\\cline{1-2} C & 1.080312998\\\cline{1-2} D & 1.079441506\\\cline{1-2} E & 1.077875846\\\cline{1-2} \end{array}[/tex]
Therefore, the option with the greatest coefficient of P and therefore the best deal is option B.
Given the function y = -5x +4, what is the range of the function if the domain is {-2, 0,5}
Answer:
range is { - 21, 4 , 14 }
Step-by-step explanation:
the domain gives the value of x , the input
the range is the corresponding values of y, the output
substitute values of x from the domain into the function
x = - 2 : y = - 5(- 2) + 4 = 10 + 4 = 14
x = 0 : y = - 5(0) + 4 = 0 + 4 = 4
x = 5 : y = - 5(5) + 4 = - 25 + 4 = - 21
then range is { - 21, 4 , 14 }
49. $10,000 is invested at an APR of 4% for 10
years.
50. $10,000 is invested at an APR of 5% for 20 years.
51. $15,000 is invested at an APR of 3.2% for 25 years.
52. $3000 is invested at an APR of 4% for 12 years.
53. $5000 is invested at an APR of 3.1% for 12 years.
54. $40,000 is invested at an APR of 8.5% for 30 years.
The total amount, if $10,000 is invested at an APR of 4% for 10 years is $14000.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
$10,000 is invested at an APR of 4% for 10 years.
Calculate the total amount at the end as shown below:
[tex]A = p + p\times r\times t / 100[/tex]
A = 10000 + 10000 × 4 × 10 / 100
A = 10000 + 4000
A = 14000
Similarly, solve all the questions using this formula.
Therefore, the total amount, if $10,000 is invested at an APR of 4% for 10 years is $14000.
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The complete question is:
$10,000 is invested at an APR of 4% for 10 years. Find the total amount after 10 years.
For what value of x is line m parallel to line n?
Answer: x=-2
Step-by-step explanation:
they’re corresponding angles meaning they’re congruent or equal to each other then solve like any other problem
Can someone help me with this problem?
Answer:
$33
Step-by-step explanation:
l=prt = 30 × 0.05 × 2=3
total save = 30+ 3= 33
What is the ratio of shaded to unshaded squares in the grid below?
Group of answer choices
3/5
5/8
1/3
Answer:
1/3
Step-by-step explanation:
shaded is 10 and unshaded is 15
so the answer is 1/3 because
5 can be multiplied both sides
5 times 3 is 15
5 times 1 is 5
So both sides can be multiplied by 5
Answer: alt account
Step-by-step explanation:
24 - 10x = 9 (ignore---------------------------------------------------------------------------------------------------------------)
[tex]\fbox{x=$\dfrac{3}{2}$}[/tex] or [tex]\fbox{x=1.5}[/tex]
Simplify Equation:
[tex]24-10x=9[/tex]
[tex]-10x+24=9[/tex]
Subtract 24 from both sides:
[tex]-10x+24-24=9-24[/tex]
[tex]-10x=-15[/tex]
Divide both sides by -10:
[tex]\dfrac{-10x}{-10} =\dfrac{-15}{-10}[/tex]
[tex]x=\dfrac{3}{2}[/tex] or [tex]x=1.5[/tex]
[tex]y= 4\\y = \frac{8}{3} x - 4\\[/tex]
Answer: x=3
Step-by-step explanation:
Assuming you want to solve the system,
You are already given y = 4, so plug 4 in for the other y in the other equation.
[tex]y=\frac{8}{3} x-4\\\\4=\frac{8}{3} x-4\\4+4=\frac{8}{3} x-4+4\\\frac{3}{8}\times 8=\frac{3}{8} \times\frac{8}{3}x\\\\x=3[/tex]
Solve the following equations
25x²-4=0
Answer: x= (2)/5 & x= (-2)/5
Step-by-step explanation:
Factor Form:
1. Use the sum product patturn
25x^2-4=0 → 25x^2+10-10-4=0
2. Common factors from each pair
25x^2+10-10-4=0 → 5x(5x+2)-2(5x+2)=0
3. Rewrite the factored form
5x(5x+2)-2(5x+2)=0 → (5x+2)(5x-2)=0
4. Create separate equations
(5x+2)(5x-2)=0 → 5x+2=0 5x-2=0
5. Solve
5x+2=0 5x-2=0 → x=(2)/5 x=(-2)/5
Whats the answer please help its worth 10 points!
16 divide 1 2 The one and two is a fraction together
Answer:
It's 32.
Step-by-step explanation:
Multiply 16 x 2 = 32.
I hope this helps.
Solve for a. √a-b+c=3 A. a=3+√b-√c B. a=9+b-c C.a=9+√b-√c D. a=3+b-c
Answer:
a=9+b−c
Step-by-step explanation:
what is the reciprocal of 8?
Answer:1/8
Step-by-step explanation:
The reciprocal of a number is what you multiply by a number to give 1. Therefore
8x = 1
x = 1/8
The ratio x:y is equal to is 2 : 5, and y is 80% of z. Write an equation to represent the proportional relationship between x and z.
Answer:
z = 3.125 * x
Step-by-step explanation:
since y is 80 percent of z, we can represent it in the form of a ratio as 80:100.
Simplify it down: 80:100 = 8:10 = 4:5
therefore x:y = 2:5
and y:z = 4:5
"y" is common in both of these ratios. Therefore we now have to make the value of Y same in both of the ratios. Therefore we find the least common multiple of both the y values which is 5 and 4. It is 20.
Now we make the value of y in both the ratios 20. So we need to multiply 5 in 2:5 by 4. Since we multiplied one of the values by 4 we have to multiply the other one as well (2*4). Now our new ratio for x:y is 8:20. Do the same for the other ratio. the other ratio is 4:5. the y value here is 4. 4 needs to be multiplied by 5 to become 20. Therefore multiply 4 by 5 and multiply 5 by 4. our new ratio for y:z is 20:25
As you can see both the y values are similar now.
x:y = 8:20
y:x = 20:25
therefore we can now write x:y:z as 8:20:25
that also means that x:z is now 8:25.
Now we know that when x is 8 z is 25. in this case. 8 and 25 are directly proportional.
therefore we can write an equation as
25 = k*8
k = 25/8
k = 3.125
therefore z = 3.125 * x
Who would win the race, (Camila or gabriela) Please help, on edge of failing ngl. !!
Answer:
Camilla will win.
Step-by-step explanation:
Camilla's rate = 12
Gabriella's rate = 10
Help please i need to find what mHJ is
Answer: 72 for HJ.
Step-by-step explanation:
HELP!! 30 POINTS!!
What is the correlation of the data shown?
0
1
-0.5
-1
The correlation of the data shown on the graph is 0
How to determine the correlation?In this question, the graph represents the given parameter
From the graph, we have the following observations
The x values is on the horizontal axisThe y values is on the vertical axisAs the x values increase, the y values do not follow a patternWhen the change (increase) in the x values causes a random change (increment) in the y values, then the correlation is 0
From the list of options, we have
-1, -0.5 and 1 are not zero i.e. 0
This means that the correlation is (a) 0
Hence, the correlation of the data is 1
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how much would it cost to replace all the windows on all the buildings in the united states?
kay learned that the average snail moves about .013 meters per second . How many centimeters per second does a snail move?
Answer: 1.3 centimeters
Step-by-step explanation:
.013 x 100 = 1.3
Course Grade You were 6 points shy of a B in yo
394. How many points were possible in the course?
mathematics course. Your point total for the course was
(Assume that you needed 80% of the course total for a B.)
The point total possible for the given course is equal to 500.
What is a Percent?
A ratio whose second term is 100 is known as a percent. Parts per hundred are used in percentages. The mathematical representation of percent is %.The percent formula is given as, [tex]x=p \times b[/tex], where b is the base number, x is the number being compared to b, and p is the percent in decimal form.In the question, it is given that you were 6 points shy of a B and the current total points you have is 394.
So, the total number of points you require for a B is calculated as,
[tex]394+6=400[/tex]
So, the value of x is 400.
It is given that you need 80% of the course total for a B.
[tex]\implies p=\frac{80}{100}\\ \implies p=0.8[/tex]
Here, we have to find the base number (b).
We have, x = 80% of b
[tex]\implies x=0.8 \times b\\\implies 400= 0.8 \times b\\\implies x=\frac{400}{0.8}[/tex]
Simplifying, we get
[tex]x=500[/tex]
Therefore, 500 points were possible in the course.
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It takes a word processor 39 minutes to word process and spell check 6 pages. Find how long it takes her to word
process and spell check 28 pages.
I need the answer
Answer:6/39=2/13
Step-by-step explanation:the spell check need 2/13 like 1.5sec to check one words
The frame of a bicycle weighs 16 pounds. Each tire weighs 9 ounces. The seat weighs 12 ounces. The handlebars weigh 24 ounces. How many pounds does the bicycle weigh?
The weight of the bicycle is 19.375 pounds.
Define weight.In physics and engineering, the weight of an object refers to the gravitational force that pulls on it. Weight is frequently described as a scalar quantity that measures the gravitational force's strength.
The weight of the frame of the bicycle= 16 pounds
1 pound= 16 ounces
Therefore, 16 pounds= 16 x 16 = 256 ounces
The weight of one tire= 9 ounces
Therefore, the weight of two tires= 9 x 2 = 18 ounces
The weight of the seat= 12 ounces
The weight of handlebars= 24 ounces
Therefore, the total weight of the bicycle = 256 + 18 + 12 + 24
= 310 ounces
Therefore, the bicycle weighs 310 ounces
That is 310/ 16 = 19.375 pounds
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