Question 8(Multiple Choice Worth 5 points)
(01.03 MC)
Which expression is equivalent to 32.3-52
0
3³
Answer:
1/3^3
Step-by-step explanation:
The answer is 1/3^3 or 1/27 because 3^2 is 9 and 3^-5 is 1/243. This results in the equation 9 x 1/243. When simplified you get 1/3^3 or 1/27.
Can someone answer this question pls- 40 points? plus brainliest if you explain.
1. A light bulb is one-hundredth of an inch thick, with an allowable error of 2%. What is the least allowable thickness of the filament?
A. 0.00098
B. 0.0002
C. 0.0098
D.0.0102
Answer:
Answer:
0.00998 Inches
Step-by-step explanation:
Thickness of the light bulb filament = 0.01 Inch
Allowable error = 2%.
2% of 0.01 = 0.02 X 0.01 =0.0002 Inch
Therefore, the allowable thickness of the bulb filament
We can then calculate the least allowable thickness of the filament as:
The least allowable thickness of the filament is 0.00998 Inches.
Answer:
C. 0.0098
Explanation:
one-hundredth of an inch: 1/100 ≈ 0.01 (inch)
Upper-bound (maximum error):
= 0.01 × (100% + 2%)
= 0.01 × 102%
= 0.0102 inches
Lower-bound (minimum error):
= 0.01 × (100% - 2%)
= 0.01 × 98%
= 0.0098 inches
Hence, the greatest allowable thickness of filament is 0.0102 inches and mostly the least allowable thickness is 0.0098 inches, which is the answer.
What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inches?
Answer:
1105.8 in³
Step-by-step explanation:
The surface area is the circumference of the base times the height:
A = 2πrh, which, in this problem, works out to:
A = 2π(4 in)²(11 in) ≈ 1105.8 in³
Answer:
The answer will be 1105.8 in³sq inches.
Step-by-step explanation:
You multiply 4x11 which is the diameter of 44. The the radius with it will be 22. To get the surface, you multiply it= 1105.8 in³
Please mark me brainliest!
A music shop sold twenty five $50.00 radios at a profit of 8% and six $30.00 radios at a loss of 15%. How much was the profit or loss on the combined transaction?
Answer:
Step-by-step explanation:
the original price would be $80.00
50.00*0.08 = 4 50.00-4 = 46.00
46.00 for 25 radios with 4 cash back
30.00*0.15= 4.5 30.00- 4.5 = 25.50
total is 71.50
Which expression is equivalent to 56x-28y + 42?
a.) 8(7x - 3y + 6). b.) 7(8x + 4y +6z)
c.) 7(8x - 4y + 6)
Answer:
Letter c
Step-by-step explanation:
You are distributing the 7 to each term in the parentheses.
7(8x) is 56 x
Here is the tricky part. You can think of it a couple of ways:
7(-4y) = -28y a positive times a negative is a negative.
or 7(4y) = 28 , but then remember that you are subtracting so it will become -28
7(6) = 56
56x - 28y +42
Answer:
c.) 7(8x - 4y + 6)
Step-by-step explanation:
if we solve 7(8x-4y+6), we get;
56x-28y+42
The coordinates of the points A and Bare (2,5) and (-1,5) respectively. Find
the equation of the line AB
Answer:
slope:
5 - 5 / 2 - (-1) = 0
Thus, the equation of the line is y = 5
Pls help I still don’t understand this topic
Find the interest PLEASE: $194 at 7% each year for 13 years
Answer:
Step-by-step explanation:
the answer is
$194 (start) / 100 (100%) = $1.94 (1%)
$1.94 * 7 = $13.58 (7%)
$13.58 * 13 (13 years) = $176.54
$194 (start) + $176.54 (interest) = $370.54
the interest on $194 at 7% interest rate for 13 years is approximately $176.54.
To find the interest on $194 at an annual interest rate of 7% for 13 years, we can use the formula for simple interest:
Interest = Principal * Rate * Time
Where:
Principal = $194 (initial amount)
Rate = 7% (convert to decimal: 7% = 0.07)
Time = 13 years
Now, plug in the values:
Interest = $194 * 0.07 * 13
Calculate the interest:
Interest = $194 * 0.91
Interest ≈ $176.54
So, the interest on $194 at 7% interest rate for 13 years is approximately $176.54.
Learn more about interest here
https://brainly.com/question/29335425
#SPJ2
Which measure is equivalent to 350 centimeters?
3.5 m
35 m
350 m
3500 m
Answer:
The answer to your question is 3.5 m
Step-by-step explanation:
1 m= 100 cms
so 350 cms = 3.5 m
I hope this helps and have a good day!
What is scale factor of the dilation?
Can scale factors be rationals numbers?
Please explain in the most detailed way you can.
SALES TAX Apply your knowledge of percentages to solve the problems below. Round answers to the nearest hundredth. 1. How much sales tax will be charged on a good priced at $32.507 2. How much sales tax will be charged on a good priced at $56.00? 3. If a good is priced at $17.00, how much will you pay after tax? 4. If a good is priced at $132.99, how much will you pay after tax? 1
what is the simple intrest on a loan of $3,500 at 3.5% over 5 years?
PLEASE HELPPPPPP!!!!!!!!
Jane read 1/4 of a 400-page book. How many pages are left to read?
Answer: 300 pages are left to read.
Step-by-step explanation: There are 300 pages left to read, as 1/4 of 400 is 100. So far, Jane has read 100 pages.
I hope this helps!!
Answer: 300 pages
Step-by-step explanation: 1/4 of 400 is 100. 400-100=300. Thus, we arrive at our answer.
There are x students in Mrs. Schwartz's third-grade class. One fewer than half the students have brown eyes. Six fewer children have blue eyes than have brown eyes. The rest of the students have green eyes. How many students have green eyes?
F. 8
E. 7
G. x/2-7
H. x - 8
ASAP:
On a electricity bill of $14.80, mrs.miller pays only $38.76 because she pays a certain date. what percent discount is mrs.miller allowed?
Answer:
I assumed that you made a mostake and meant:
On a electricity bill of $38.76, mrs.miller pays only $14.80 because she pays a certain date. what percent discount is mrs.miller allowed?
62% approx
Step-by-step explanation:
$38.76 - $14.80 = $23.96
23.96/38.76 = 61.8%
Mrs. Miller is allowed a discount of approximately 5% on her electricity bill.
To calculate the percent discount that Mrs. Miller is allowed on her electricity bill, we can use the following formula:
Percent discount = (Discount amount / Original amount) * 100
In this case, the original amount of the bill is $40.80, and Mrs. Miller pays only $38.76, which means she receives a discount of $40.80 - $38.76 = $2.04.
Now, let's calculate the percent discount:
Percent discount = ($2.04 / $40.80) * 100 ≈ 5%
The discount is given as a percentage of the original bill amount and represents the amount saved by Mrs. Miller due to paying on a certain date or any other special offer provided by the electricity company. By paying $38.76 instead of $40.80, she saves $2.04, which is 5% of the original bill.
To learn more about discount click on,
https://brainly.com/question/28184203
#SPJ2
PLEASE HELP: What is the sales tax for each item?
Textbook: $20.00
Sales tax: 4%
Answer:
0.8
Step-by-step explanation:
The tax is calculated as the total price of the object multiplied by the amount of sales tax.
The area of the garden was 2¾yd². If the length is 1 ½ yd, find
the width.
Answer:
11/6 or 1 5/6yards
Step-by-step explanation:
Area = Length x Width
2 3/4 = 1 1/2 w
11/4 = 3/2w to change 2 3/4 into an improper fraction see this as 2 wholes plus 3/4. Another name for 2 wholes is 8/4 then add the 3/4. 8/4 + 3/4 is 11/4.
Do the same for 1 1/2 which is 1 + 1/2 change 1 into 2/2 and add it to 1/2 which would be 3/2.
Now solve for x
(2/3) (11/4) = (3/2) (2/3) w when I multiply 3/2 by its reciprocal of 2/3, I get the number 1 and 1 times w is just w.
22/12 =w. I just multiplies the tops with the bottoms. Now, divide the top and the bottom by 2 and you end up with 11/6. If I divide 11 by 6, it will go into 11 one time with 5 left over. The denominator remains 6.
Answer:
Step-by-step explanation:
The area A of a rectangle of length L and width W is A = L*W. Solving this for W, we get A/L.
Substituting 2 3/4 yd^2 for A and 1 1/2 yd for L, we get:
W = (2 3/4 yd)^2 / (1 1/2 yd)
This is equivalent to (11/4 yd^2 divided by (6/4 yd), or 11/6 yd.
The width of this garden is 11/6 yard, or 1 5/6 yard.
VERY IMPORTANT: Mr.Rodriguez bought a jacket at $69.50, a tie at $15.50 and a raincoat at $75.35. If he received a discount of 12 1/2% on each of these items then what was his bill?
Answer:
12 1/2% DISCOUNT:
Step-by-step explanation:
Jacket: $60.81
Tie: $13.56
Raincoat: $65.93
100 POINTS+BRAINLIEST 8TH GRADE MATH PT 5: WRITE THE EQUATION OF A LINE- this one was strange because the slope is supposed to be a negative fraction but that never appeared in the answer choices so please explain why I got it wrong thanks!!
Answer:
[tex]\textsf{b.} \quad 3x+5y=2[/tex]
Step-by-step explanation:
Define the given points:
[tex]\textsf{let}\:(x_1,y_1)=(4,-2)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(-1,1)[/tex]
Use the slope formula to determine the slope of the line:
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-(-2)}{-1-4}=\dfrac{1+2}{-1-4}=-\dfrac{3}{5}[/tex]
Use the point-slope formula to determine the equation of the line.
[tex]\implies y-y_1=m(x-x_1)[/tex]
Substitute the found slope and point (4, -2):
[tex]\implies y-(-2)=-\dfrac{3}{5}(x-4)[/tex]
[tex]\implies y+2=-\dfrac{3}{5}(x-4)[/tex]
Multiply both sides by 5:
[tex]\implies 5(y+2)=-3(x-4)[/tex]
Expand the brackets:
[tex]\implies 5y+10=-3x+12[/tex]
Add 3x to both sides:
[tex]\implies 5y+10+3x=-3x+12+3x[/tex]
[tex]\implies 3x+5y+10=12[/tex]
Subtract 10 from both sides:
[tex]\implies 3x+5y+10-10=12-10[/tex]
[tex]\implies 3x+5y=2[/tex]
Here is a tree diagram showing the sample space for two independent events. What is the probability of getting a total of 13 or more?
Using it's concept, there is a 0.6667 = 66.67% probability of getting a total of 13 or more.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
From the tree diagram, there are 9 outcomes, of which 6 result in a total(first node + second node) of 13 or more, hence the probability is:
p = 6/9 = 0.6667.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
Please use statemnet reasoning!
Answer:
lineHO parallel lineEN - Given
lineHW = lineNW - Given
angle HWO congruent angle EWN Vertical Angles
angle OHW congruent angle ENW Alternate interior angles
Thus triangle HOW congruent triangle NEW
[wouldn't let me use symbols sorry]
PLEASE: Find The Ending Balence
1. $939 at 8% for 6 years
2. $823 at 3% for 9 years
3. $269 at 1# for 3 years
Using exponential functions, the ending balances are given as follows:
1. $1,490.07.
2. $1,073.83.
3. $358.04.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.Item a:
The parameters are:
A(0) = 939, r = 0.08, t = 6.
Hence the balance is:
[tex]A(6) = 939(1.08)^6 = 1490.07[/tex]
Item b:
The parameters are:
A(0) = 823, r = 0.03, t = 9.
Hence the balance is:
[tex]A(9) = 823(1.03)^9 = 1073.83[/tex]
Item c:
The parameters are:
A(0) = 269, r = 0.1, t = 3.
Hence the balance is:
[tex]A(9) = 269(1.1)^3 = 358.04[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
In a regular 52 deck of cards, what is the probability of picking a random spade, a 4 of any suit and then a random diamond with replacement?
[tex]sample \: space = 52 \: cards \\ spades = 13 \: cards \\ number \: 4s = 4 \: cards \\ diamonds = 13 \: cards \\ note \: that = \\ there \: is \: replacement \\ order \: does \: matter[/tex]
[tex]P( \gamma ) = \frac{13}{52} \times \frac{4}{52} \times \frac{13}{52} = \frac{1}{208} [/tex]
I REALLY REALLY NEED HELP!!!!!! THIS IS DUE IN 5 MIN!!!
Answer:
b
Step-by-step explanation:
We have proven that ΔACO ≅ ΔBDO using the SAS (Side-angle-side) theorem
Congruent trianglesFrom the question, we are to prove that ΔACO ≅ ΔBDO
From one of the congruent triangles theorem, we have that
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
This is the SAS (Side-angle-side) theorem.
From the given information,
AB and CD intersect at point O
Thus, AO = BO
Also,
∠ACO ≅ ∠BDO
In the diagram, we can as well observe that CO ≅ DO
Thus, we can conclude that AC ≅ BD
Since sides AC, CO and the included angle ACO are congruent to sides BD, DO and the included angle BDO, we can conclude that ΔACO ≅ ΔBDO using the SAS theorem.
Hence, we have proven that ΔACO ≅ ΔBDO
Learn more on Congruent triangles here: https://brainly.com/question/2938476
#SPJ1
Ummm, Is this right
Mary brought 500ml of water to school, she drank 400ml herself,and shared the remaining am9unt of wayer equally among 4 friends. What amount of water did each friend drink?
Answer:
[tex]\huge\boxed{\sf 25\ ml}[/tex]
Step-by-step explanation:
Total amount of water = 500 ml
Mary drank = 400 ml
Left:
= 500 ml - 400 ml
= 100 ml
This was divided equally among 4 friends.
So,
Each friend got:
= 100 ml/4
= 25 ml
[tex]\rule[225]{225}{2}[/tex]
Write the number in expanded form for the significant digits
117.000
20.018
13.265
3.4000
0.8100
Q.3 - The table and the graph each show a different relationship between the same two variables, x and y:
How much more would the value of y be in the table than its value on the graph when x = 11?
Because y=20x in this table, the value of y is worth 20 times as much as the value of 11.
How can I tell which graph represents the function's graph?A feature's graph In a plane of the form (x, f(x)), all factors have the form f. As a side note, the graph of f may also be thought of as the graph of y = f. (x). Because of this, a feature's graph is a particular case in the graph of an equation.
When it comes to graphing, what exactly is the axis?To explain the graph's meaning and the measuring devices, an axis is a line drawn to the graph's aspect or backside. It is possible to provide information about what the graph shows by labeling the x-axis, the horizontal line at its lowest point.
To learn more about graphs visit
brainly.com/question/4025726
#SPJ1
I NEED HELP ASAP!!! PLEASE HELP ME!!!
Answer:
As the shape forms a rectangle and line segment AB and line segment CD are parallel, you can tell that length of both line segments/sides are equal.
Step-by-step explanation:
Since the answer itself requires an explanation, I added the explanation in the answer area.
Hope that helps! Have a great day!
Please help me.
i need to finish
HELP NEEDED ASAP PLEASE !!!!!!!!!!
Divide 17.9 by 2.38. Round your answer to the nearest tenth.
0.7
7.5
0.8
7.6
Answer:
7.5
Step-by-step explanation:
You divide 17.9 by 2.38. That would give you 7.521008403361345.
Rounding to the nearest tenth would mean to round till you have a number right after the decimal point. When you round, you would get 7.5 since 2 isn’t enough to change the five to a six.
Hope that helps!! Have an amazing day!!