Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
(8)*2-7
16-7
9
Make sure to follow PEMDAS!
Explain how the Quotient of Powers Property was used to simplify this expression. 5 to the fourth power, over 25 = 5^2
exponent subtract when numbers with exponents are divided
25 is 5^2
5^4/5^2 = 5^2
5^4 = 625
5^2 = 25
625/25 = 25
Calculate the monthly payment for a loan of $7,500 with an 11% interest rate compounded monthly over a period of 5 years.
Answer:
Option b - $163.07
Step-by-step explanation:
Given : A loan of $7,500 with an 11% interest rate compounded monthly over a period of 5 years.
To find : Monthly payment
Solution : Formula to find monthly payment
Monthly Payment = Amount / Discount factor
Discount factor
where ,
Amount = $7500
Rate= 11%=0.11
Time = 5 years
Now, put i and n in Discount factor ,
Monthly payment,
Therefore, Option b is correct monthly payment = $163.07
Answer:
The answer is $163.07
Step-by-step explanation:
To find the monthly payment:
[tex]i = \frac{0.11}{12} = 0.0091[/tex]
Time = 5 years
5 x 12 = 60
Discount factor
[tex]D = \frac{1-(1 + i) -^{n}}i[/tex]
[tex]D = \frac{1 - (1+ 0.009)-^{60} }{0.009} \\[/tex]
[tex]D = \frac{0.421}{0.009} = 46.77[/tex]
Monthly payment
[tex]\frac{7500}{46.77} = $163.07[/tex]
5% of a number is 231%of the same number is 4. 6work out 16%of the number
Answer:
23
Step-by-step explanation:
what is the square centimeters of a figure with 9cm 6cm 6cm 8cm 3cm 14cm
What are the roots of the equation 9x2 – 36x +37
O in simplest a + bí form?
Answer:
x = 2+1/3i or 2-1/3i
Step-by-step explanation:
The equation of interest can be written in vertex form as ...
9(x -2)² +1 = 0
so its solutions can be found by subtracting 1, dividing by 9, taking the square root, then adding 2.
x = 2 ± √(-1/9)
In the desired form, the zeros of the given expression are ...
x = 2 +1/3i or 2 -1/3i
Please help me find the y-intercept and slope from these two-word problems. ANd tell me if they're proportional and negative or not.
Answer:
for the 1st one, m=10 and b=2 because from the word problem it says it starts at 10 which would be 10 on the y axis being where the line would pass through and spending 2 a week would be the slope because he is losing 2 per week its a negative slope so y=10x-2.
for the second one m=48 and b=44 its just like the last one but with different numbers but comment if you want me to explain it but the answer is y=48x-44.
For which values of c does the quadratic equation x^2-2x+c=0 Two roots of opposite signs
Answer:
-2
Step-by-step explanation:
The value of c is -4, therefore the additive inverse should be added to get the answer 0
The roots of the quadratic equation x² – 2x + c = 0 are a and –b. Then the value of c is a² – 2a.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
For which values of c does the quadratic equation
x² – 2x + c = 0 ...1
Two roots of opposite signs
Let the two roots of the opposite signs be a and –b
x = a, –b
Then we have factorized the equation,
(x + b)(x – a) = 0
On solving, we have
x² + (b – a)x – ab = 0 ...2
In comparing equation 2 with equation 1, we have
⇒ b – a = –2
⇒ b = –2 + a
and
⇒ c = a(a – 2) = a² – 2a
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
What is the answer to f(0)=(x-3)'2?
What is the value of x?
x=32 degrees
Step-by-step explanation:
Angles in equilateral triangles are equal, each angle is 60 degrees
2x-4 =60
+4
2x = 64
÷2
x = 32
Also, y will be 12 (12x5=60)
Hope this helps!
When simplifying expressions that involve many exponent properties, how do you decide what to do first?
first (...), after √ and squares from left to right then from left to right . and : and lastly + and -
The temperature inside my refrigerator is about 40 ◦Celsius. If I place a balloon in my fridge that initially has a temperature of 220 °C and a volume of 0.5 liters, what will be the volume of the balloon when it is fully cooled by my refrigerator? Using Charles' Law
Answer:
The volume of the balloon when it is fully cooled by my refrigerator is
2.75liters
Step-by-step explanation:
we are expected to apply Charles law in this problem and solve for the final volume V2
the expression for Charles law is give as
V1/T1=V2/T2
given data
V1, first volume = 0.5 liters
V2, second volume =?
T1, first temperature = 40 ◦Celsius.
T2, second temperature =220 °C
applying the formula we have
0.5/40=V2/220
V2=(0.5*220)*40
V2=110/40
V2=2.75liters
What is the additive inverse of the number 1.6?
A. -1.6
B. 0
C. 1
D. 6.1
Answer:
-1.6
Step-by-step explanation:
Because the additive inverse of any positive number is it's negative number
Three straight lines are shown in the diagram. Work out the sizes of angles a,b and c.
15 points to whoever gets this by the way.
Answer:
b = 100°
should be the answer
Question 1: Explain why x = 5 makes 2x_< 10 true but not 2x < 10?
Answer:
if the first example is using the less-than sign with a line under it for less than or equal too then it is true because 2*5 would EQUAL TO OR LESS THEN ten. The second example says that 2*5 would be LESS THEN ten
Step-by-step explanation:
Which linear inequality is represented by the graph?
y ≤ One-thirdx − 1
y ≥ One-thirdx − 1
y 3x − 1
Answer:
B
Step-by-step explanation:
Answer: B or y ≥ 1/3x − 1
Step-by-step explanation:
Got it right Edge 2020
Generalize the patterns you noticed in part D to create a rule or identity to describe those patterns. For example, if you notice that every time you multiply a negative number by another negative number the result is positive, we can generalize this by saying (-a)(-b) = c, where a, b, and c are all positive real numbers.
I know it is probably to late for your answer but if you are on Solving and Reasoning with Complex Numbers: Tutorial in Edmentum, then the answer for part D on the first lesson activity is this word for word.
This equation generalizes the patterns seen in part D, where a and b represent real numbers:
(a + bi)(a − bi) = a2 + b2.
Hope this helps good luck
what is two x squared minus five x equals zero
Answer:
4/5 = x
0.8 = x
Step-by-step explanation:
2^2 - 5x = 0
first, we must solve for exponents, as per PEMDAS.
4 - 5x = 0
4 = 5x
4/5 = x
or x = 0.8
Answer:
x = 0
x = -5/2
Step-by-step explanation:
2x squared + 5 = 0
x (2x + 5) = 0
therefore...
x = 0
and
2x + 5 = 0
2x = - 5
x = -5/2
what is the answer for thiss please helpp
3-2x<1
Answer:
x > 1
Step-by-step explanation:
3 - 2x < 1
- 2x < 1 - 3
- 2x < - 2
Divide - 2 on both sides,
- 2x / - 2 > - 2 / - 2
x > 1
Answer:
x>1
Step-by-step explanation:
3-2x<1-2x<1-3-2x<-2x>-2/-2[Sign alter because dividing by negative number]Hence, x>1
what is the answer???????????
Answer:
Step-by-step explanation:
First we make the denominators the same:
2/3 = 10/15
2/5 = 6/15
Ratio: 6/15 : 10/15
Have a great day!!
Please rate and mark brainliest!!
hii i need help with a geometry problem. i'll mark you brainliest!! please please help i really need to solve this.
Answer:
∠ ABC = 81° , ∠ FEC = 90°
Step-by-step explanation:
Since AB ≅ BC then Δ ABC is isosceles.
The median BE is therefore
The angle bisector of ∠ ABC and
BE bisects AC at right angles.
Thus
∠ ABE = ∠ CBE = 40° 30' , then
∠ ABC = 2 × 40° 30' = 81°
Since BE is perpendicular to AC then
∠ FEC = 90°
There are 300 light bulbs lined up in a row in a long
room. Each bulb has its own switch and is currently
switched off. Each bulb is numbered consecutively from
1 to 270. You first flip every switch. You then flip the
switch on every second bulb(turning off 2, 4,6. ). You
then flip the switch on every third bulb (3, 6,. ). This
continues until you have gone through the process 300
times.
And how many of the light bulbs are illuminated now?
Flipping the bulbs is an illustration of sequence and patterns
17 bulbs would remain on.
How to determine the number of bulbs that will be on?The sequence of turning the bulbs off and on, would change the state of the bulbs until the 300th process.
While changing the state of the bulbs, the bulb at the perfect square positions would remain on.
There are 17 perfect square numbers between 1 and 300 (inclusive)
Hence, 17 bulbs would remain on.
Read more about sequence and patterns at:
brainly.com/question/26698448
A middle school held a Career Exploration Day where students could choose to hear an adult talk about his or her career. 15 students went to hear the doctor speak, and 21 students went to other sessions.
What is the probability that a randomly selected student went to hear the doctor?
Answer:
5/12
Step-by-step explanation:
15 students went to hear the doctor speak and 21 students went to other sessions
How many students are there? 15 + 21 = 36 students
Therefore, the probability to randomly select a student that went to hear the doctor is [tex]\frac{15}{36}[/tex], then simplifying it by 3 is [tex]\frac{5}{12}[/tex].
If we want to express it in percentage it would be 41.6%
How many different ways could I order the books on my shelf?" I have enough room for 11 of my 31 books. How many different ways could I order 11 books on my bookshelf?
Answer:
31 divided by 11 in my smartest choice
Step-by-step explanation:
f(x)=1/3x-4 is it linear or exponential?
Answer:
Linear
Step-by-step explanation:
since the x value has no exponent to it, and is simply on its own, it is linear
If f(x) = 5x +5, which of the following is the inverse of f(x)?
=
=
(x)
3
(x+)
O A. F'(x) = 5*55
-(
O B. F'(x) = 36445)
f-
O c. f'(x) = 5(x+5)
-=
O D. +++(x) = 34,553
f-
5
3
(-)
Answer: D
Step-by-step explanation:
What are the solutions for x when y is equal to 0 in the quadratic function
y= x2 – 8x?
John sells frozen fruit bars at a stand in a park during the summer months. He records the average weekly temperature and number of frozen fruit bars sold for 6 weeks. A 2-column table with 6 rows. The first column is labeled temperature (degrees Fahrenheit) with entries 67, 71, 76, 76, 82, 87. The second column is labeled fruit bars sold with entries 50, 54, 63, 65, 65, 100. What type of correlation exists between the temperature and the number of fruit bars sold? What is the real-world meaning of the slope of the line of best fit for the given scenario? There are approximately more fruit bars sold for every degree(s) the temperature rises.
The correlation that exists between the temperature and the number of fruits sold is positive but is almost negligible.
What is the correlation coefficient?The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
1 indicates a strong positive relationship.-1 indicates a strong negative relationship.A result of zero indicates no relationship at all, therefore, independent variable.
We know that the correlation coefficient is given by the formula,
[tex]r =\dfrac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]
r = correlation coefficient
[tex]x_{i}[/tex] = values of the x-variable in a sample
[tex]\bar{x}[/tex] = mean of the values of the x-variable
[tex]y_{i}[/tex] = values of the y-variable in a sample
[tex]\bar{y}[/tex] = mean of the values of the y-variable
Calculate the value of [tex](x_i-\bar{x})(y_i-\bar{y}),\ (x_i-\bar{x})^2,{ \rm and}\ (y_i-\bar{y})^2[/tex] each separately, and then find the sum of them as shown below, therefore, the formula can be written as,
[tex]r =\dfrac{571.5}{261.5\times 1566.833333}= 0.0014[/tex]
Hence, the correlation that exists between the temperature and the number of fruits sold is positive but is almost negligible.
Learn more about Correlation Coefficients:
https://brainly.com/question/15353989
Answer:
1. positive
2. 2.2
3. 1
Step-by-step explanation:
How do you find the volume of a rectangular prism?
Answer:
V = w h l just multiply the length times width times height
Part D In the scale drawing, what will the length of the west side of the backyard be?
NEED HELP ASAP WILL GIVE BRAINIST TO BEST AWNSER
Answer: answer witten in the picture attached to this......
Which of the following describes the y-intercepts of the two functions?
Answer:
The y intercept of Function A is the same as the y intercept as function B
Step-by-step explanation:
they both have a y intercept of 2
y = mx + b
b is the y intercept
in the table all you have to look for is when x is 0