Answer: See explanation
Step-by-step explanation:
From the question, we are informed that a new carpet is to be put in the bedroom and that the dimensions of the room are 8.74 ft and 10.3 ft.
The area of the room will be the multiplication of the dimensions given. This will be:
= 8.74 × 10.3
= 90.022
= 90ft²
The difference between 3 times a number x and 2 is 19. What is the value of x?
ILL MARK AS BRAINLYEST
Answer:
the value of x is 7.
Step-by-step explanation:
2+19=21
21÷3=7
Check:
3×7=21
21-2=19
Therefore, 7 is the answer.
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AADCH ADEP
Check all that apply
A. LA
B. MAS
C. HL
D. HA
E. SAS
F. LL
D. HA
1234567890oplkjhgrewsertyuiopoiuytr
Answer:
Step-by-step explanation:
Its
D and E
the ratio of boys to girls in the park was 4 to 5 .if 270 children were in the park.How many girl?
Answer:
150 are girls.
Step-by-step explanation:
There is an important difference between the way counts are viewed in ratio to that in fractions.
The ratio of boys : girls
4:5
so you have 4 boys and 5 girls making the whole count in its simplest form.
4+5=9
So to change the ratio proportion into fraction proportion we have:
Boys: 4/9
Girls: 5/9
It is given that the whole is 270 therefore the count of girls is:
5/9 x 270 = 150
Y varies directly with x. If y = 150 when x = 3, what is x when y = 600
Answer:
Step-by-step explanation:
Y varies directly with x:
y=kx
for some non-zero constant k
substitute y=150 and x=3:
150=3k
k=50
When y=600:
600=(50)x
x=12
map of field: 12 in × 15 in
scale of map: 1 in = 3 ft
What are the dimensions
of the actual field?
What is (7-2)^2+3/ 1/6
( / ) this means divide and (^) that means to the power
Answer:
ewannnnnnnnnnnnnn
Step-by-step explanation:
d q den alam d pa namin pinagaaralan yan, xenxia na godbless
Pls help me ASAP thank you
The answer to your question was..:
24.5
It is 100% correct, and I hope you get it right! :D
(Love your username! >:3)
Kimmy needs to big 48 cookies for cookie exchange party she will be 28 chocolate chip cookies and the rest will be gingerbread cookies G represent how many gingerbread cookies Kimmy needs to bake which equation models the problem? G-28=48 or 28+g=48
Answer:
28+ 20 = 48 because 48 take away 28 equals 20. so g is 20
Find the area of the shape below
A spherical tank is 3 m tall and therefore has a capacity of about 14000 L (NOTE that 3m is its diameter, and one cubic meter is 1000 L). You have been asked to put level lines on the tank showing the depths where the tank contains 1000, 5000, and 10000 L of liquid. (a) Use calculus to determine the height of each line (to the nearest cm). (b) Plot the circular cross-section of the tank and the level lines (NOTE the lines do not have to stay within the circle).
Answer:
(a) 1) When V = 1000 L, the height of the liquid in the tank is approximately 62 cm
2) When V = 5,000 L, the height of the liquid in the tank is approximately 106 cm
3) When V = 10,000 L, the height of the liquid in the tank is approximately 202 cm
b) The drawing of the spherical tank showing the height of the liquid level for each volume created with Microsoft Excel is attached
Step-by-step explanation:
(a) The height of the spherical tank = 3 m
The diameter of the spherical tank, d = 3 m
The capacity of the spherical tank = 14,000 L
The volume of a sphere, V = (4/3) × π × r³ =
Where, r = d/2
∴ r = 3 m/2 = 1.5 m
V = (4/3) × π × (1.5)³ ≈ 14.1371669412 m³
Using calculus, we have;
[tex]V = 2 \times \pi \times \int\limits^r_{0} {(r^2 - y^2)} \, dx = 2 \times \pi \times \left[r^2 \cdot y - \dfrac{y^3}{3} \right]^y_0[/tex]
For the two halves, we have;
[tex]V = \pi \times \left[r^2 \cdot y - \dfrac{y^3}{3} \right]^{\dfrac{y}{2}} _0 + \pi \times \left[r^2 \cdot y - \dfrac{y^3}{3} \right]^y_{\dfrac{y}{2}}[/tex]
[tex]V = 2 \times \pi \times \left[y^3- \dfrac{y^3}{3} \right]^y_0 = \dfrac{4 \cdot \pi \cdot y^3}{3}[/tex]
1) For V = 1000 L, we have;
[tex]1000 \ L = \dfrac{4 \cdot \pi \cdot y^3}{3}[/tex]
1000 L =
When V = 1000 L, we have;
[tex]y = \sqrt[3]{\dfrac{3 \times 1 \, m^3}{4 \times \pi } } \approx 0.62 \ m[/tex]
The liquid level, y ≈ 0.62 m = 62 cm
2) When V = 5,000 L, we have;
[tex]y = \sqrt[3]{\dfrac{3 \times 5 \, m^3}{4 \times \pi } } \approx 1.06 \ m[/tex]
The liquid level, y ≈ 1.06 m = 106 cm
3) When V = 10,000 L, we use the height of the unfilled volume at the top which is the volume of the sphere less the 10,000 L as follows;
For the volume of the sphere of 14,000 L, we have;
Volume at the top = 14,000 L - 10,000 L = 4,000 L = 4 m³
Therefore
[tex]y_{top} = \sqrt[3]{\dfrac{3 \times 4 \, m^3}{4 \times \pi } } \approx 0.985 \ m[/tex]
The height of the liquid in the tank, y = d - [tex]y_{top}[/tex]
∴ y = 3 m - 0.985 m = 2.015 m
The liquid level, y ≈ 2.015 m = 201.5 cm ≈ 202 cm
b) Please find attached the drawing of the spherical tank created with Microsoft Excel
a) (i) The level line for 1000 liters is set at a height of 0.486 meters.
(ii) The level line for 5000 liters is set at a height of 1.203 meters.
(iii) The level line for 10000 liters is set at a height of 1.926 meters.
b) The sphere is represented by the equation [tex]x^2+(y-1.5)^{2} = 2.25[/tex] and the level lines are represented by the linear functions [tex]y = 0.486[/tex], [tex]y = 1.203[/tex] and [tex]y = 1.926[/tex]. Please see the second image attached.
How to determine and plot the heights of a spherical tanka) First, we derive an expression for the volume of a spherical section ([tex]V[/tex]), in cubic meters, in terms of tank radius ([tex]R[/tex]), in meters, and liquid height ([tex]h[/tex]), in meters. The volume can be found by using the slicing method integral equation:
[tex]V = \int\limits^{H}_{0} {A(h)} \, dh[/tex] (1)
Where:
[tex]A(h)[/tex] - Area of the infinitesimal circular cross section, in square meters. [tex]H[/tex] - Required height of the liquid, in meters.If we know that [tex]A = \pi\cdot [R^{2}-(R-h)^{2}][/tex], then the volume formula is:
[tex]V = \pi\int\limits^H_0 {h\cdot (2\cdot R-h)} \, dh[/tex]
[tex]V = 2\pi\cdot R\int\limits^{H}_{0} {h} \, dh - \pi \int\limits^{H}_{0} {h^{2}} \, dh[/tex]
[tex]V = \pi\cdot R\cdot H^{2}-\frac{\pi\cdot H^{3}}{3}[/tex]
Then we obtain the following third order polynomial:
[tex]\frac{\pi\cdot H^{3}}{3}-\pi\cdot R\cdot H^{2}+V = 0[/tex] (2)
Now we proceed to solve numerically for each case:
Case 1 - [tex]R = 1.5\,m[/tex], [tex]V = 1\,m^{3}[/tex][tex]H = 0.486\,m[/tex]
The level line for 1000 liters is set at a height of 0.486 meters. [tex]\blacksquare[/tex]
Case 2 - [tex]R = 1.5\,m[/tex], [tex]V = 5\,m^{3}[/tex][tex]H = 1.203\,m[/tex]
The level line for 5000 liters is set at a height of 1.203 meters. [tex]\blacksquare[/tex]
Case 3 - [tex]R = 1.5\,m[/tex], [tex]V = 10\,m^{3}[/tex][tex]H = 1.926\,m[/tex]
The level line for 10000 liters is set at a height of 1.926 meters. [tex]\blacksquare[/tex]
b) The sphere is represented by the equation [tex]x^2+(y-1.5)^{2} = 2.25[/tex]level lines are represented by the linear functions [tex]y = 0.486[/tex], [tex]y = 1.203[/tex] and [tex]y = 1.926[/tex]. By a graphing tool we have the following result. [tex]\blacksquare[/tex]
To learn more on volumes, we kindly invite to check this verified question: https://brainly.com/question/1578538
1 and 3/16 - 7/8????
Answer:
0.3125
Step-by-step explanation:
Answer:
5/16 or 0.3125
Step-by-step explanation:
What is the area of the real object that the scale drawing models?
Answer:
90 cm²
Step-by-step explanation:
since the ratio is 1:6 for every one little box the bigger box increases 6 times.
so 15·6= 90 cm²
Answer:
D. 90 square cm
Solve for x: 3 < x + 3 < 6
6 < x < 9
6 > x > 9
0 < x < 3
0 > x > 3
Answer:
Subtract - 3 in each term
3 - 3 < x+3 - 3 < 6- 3
0 < x < 3
5) Un pedazo de pizza cuesta $30, un jugo cuesta $15. ¿Cuánto de deben sobrar de
$500 al comprar 5 pedazos de pizza y 5 jugos?
Answer:
I think it is 275 if you are subtracting
Use the graph to solve the equation x2 - 2x - 8 = 0.
Answer:
Graph.
y = x^ 2 − 2 x − 8
y = 0
if 7y + 42 <14 then which among the following is true
Answer:
[tex]y<-4[/tex]
Step-by-step explanation:
Given
[tex]7y + 42 <14[/tex]
Required
Determine the true statement
Options are not given; but, the question can still be attempted.
[tex]7y + 42 <14[/tex]
Collect Like Terms
[tex]7y < 14 -42[/tex]
[tex]7y < -28[/tex]
Divide through by 7
[tex]\frac{7y}{7} < -\frac{28}{7}[/tex]
[tex]y<-4[/tex] -- This is true
Let C represent the cost in dollars and R represent the revenue in dollars. What is the break-even point? Use a table to help if necessary. C=15x+150 And R=45x
Answer:
[tex]x = 5[/tex]
[tex]R = C = 225[/tex]
Step-by-step explanation:
Given
[tex]C = 15x + 150[/tex]
[tex]R = 45x[/tex]
Required
The break even point
To do this, we make use of:
[tex]R =C[/tex]
[tex]45x=15x + 150[/tex]
Collect Like Terms
[tex]45x-15x = 150[/tex]
[tex]30x = 150[/tex]
[tex]x = 5[/tex]
Substitute 5 for x in [tex]R = 45x[/tex]
[tex]R = 45 * 5[/tex]
[tex]R = 225[/tex]
Hence, the break even point is:
[tex]x = 5[/tex]
[tex]R = C = 225[/tex]
1. You have three standard decks of cards in front of you. What is the probability of drawing a heart card from all three decks?
2.12%
9.38%
1.56%
17.31%
Answer:
1.56%
Step-by-step explanation:
A standard deck of cards has 52 cards, and 13 of these are hearts, as there are 4 suits, and 52/4=13. This means the probability of choosing a heart card from a deck of cards is 1/4, or 25%. Now to find the probability of doing this from 3 decks in a row, we simply cube 1/4 to get 1/64, and in percentage this is ~1.56%.
Answer: 1.56%
Step-by-step explanation: there's really nothing to explain here.
Quiz From Buzz (Acceleration Education)
Hope it helps you!
Find the total of a
1560 meal with 15%
tip and 8% tax.
Coaching companies claim that their courses can raise the SAT scores of high school students. Of course, students who retake the SAT without paying for coaching generally raise their scores. A random sample of students who took the SAT twice found 427 who were coached and 2733 who were uncoached. Starting with their verbal scores on the first and second tries, we have these summary statistics:
Try 1 Try 2 Gain
x s x s x s
Coached 500 92 529 97 29 59
Uncoached 506 101 527 101 21 52
Let's first ask if students who are coached significantly increased their scores.
You could use the information given to carry out either a two-sample t test comparing Try 1 with Try 2 for coached students or a matched pairs t test using Gain. Which is the correct test? Why?
A. Two-sample test, because we are given data for the two samples which is more accurate than the data only on the gain.
B. Matched pairs test, because we are not interested in the difference in mean between the two groups, but the gain that each student has achieved.
C. Two-sample test, because matched pairs test can be performed only if we have information on every individual.
D. Matched pairs test, because we are interested in the difference in mean between the two groups - not the gain that each student has achieved.
Answer:
Matched pairs test, because we are interested in the difference in mean between the two groups - not the gain that each student has achieved.
Step-by-step explanation:
Due to the correlation which exists between the two Given samples, we need to examine the difference between the pair of each point in the dataset ; coach and uncoached point. Hence, in other to analyze the underlying pattern between each data point in the two categories, the matched pair test will be more appropriate due to the underlying relationship between the reported groups.
To make meatloaf. mix 2 pounds of beef and 0.5 of a cup of breadcrumbs. How many pounds of beef
would you mix with 4.5 cups of breadcrumbs
Answer:
18 pounds of beef.
Step-by-step explanation:
For every 0.5 cups of breadcrumbs there's 2 pounds of beef.
0.5 x 9 = 4.5
9 x 2 = 18 or 2 x 9 = 18
multiples of two: 2 4 6 8 10 12 14 16 18
This shows that when we multiply 2 nine times we get 18!
Jack knows that one-third of his total trip is 640 miles. How far is Jack's total trip?
Presented below are the financial statements for the Amphlett Corporation, as of year-end 2012 and 2013.
AMPHLETT CORPORATION
Consolidated Balance Sheets
As of Year-End ($ thousands) 2013 2012
Assets
Current
Cash $18,000 $108,000
Marketable securities 240,000 -
Accounts receivable (net) 708,000 528,000
Inventory 720,000 738,000
Total current assets 1,686,000 1,374,000
Noncurrent
Long-term investments 372,000 468,000
Property & equipment 2,160,000 1,320,000
Less: Accumulated depreciation (600,000) (600,000)
Property & equipment (net) 1,560,000 720,000
Intangibles (net) 114,000 126,000
Total noncurrent assets 2,046,000 1,314,000
Total assets $3,732,000 $2,688,000
Liabilities & Shareholders' Equity
Accounts payable $1,080,000 $1,020,000
Short-term bank debt 228,000 -
Total liabilities 1,308,000 1,020,000
Shareholders' equity
Common stock, $10 par value 930,000 810,000
Additional paid-in-capital 456,000 360,000
Retained earnings 1,038,000 498,000
Total shareholders' equity 2,424,000 1,668,000
Total liabilities & shareholders' equity $3,732,000 $2,688,000
AMPHLETT CORPORATION
Consolidated Income Statement
For Year Ended ($ thousands)
2013
2012
Revenues
$1,716,000
$1,440,000
Less: Cost of goods sold
600,000
504,000
Gross margin
1,116,000
936,000
Less: Selling, general & administrative expenses
180,000
144,000
Operating income
936,000
792,000
Gain on sale of investments
84,000
-
Net income before taxes
1,020,000
792,000
Less: Income taxes
60,000
13,200
Net income after taxes
$960,000
$778,800
The footnotes to the Amphlett Corporation's financial statements revealed the following additional information:
Property and equipment costing $540 million was sold for its book value of $240 million.
Long-term investments were sold for $180 million, which included a gain of $84 million.
Required
Using the above financial data for the Amphlett Corporation, prepare the firm's statement of cash flow for 2013 using the indirect method.
Use a negative sign with answers to indicate a decrease in cash.
Amphlett Corporation
Statement of Cash Flows
For Year Ended 2013
(in thousands)
Cash flow From Operations BLANK
Net Income $Answer
Add:
Depression Expense Answer
Amortization expense Answer
Less:
Gain on Sale of Investments Answer
Accounts receivable (net) Answer
Inventory Answer
Accountable Payable Answer
Cash Flow From Operations Answer
Cash Flow for Investing BLANK
Marketable securities Answer
Long-term investments Answer
Purchase of property and equipment Answer
Sale of Property and Equipment Answer
Cash Flow for Investing Answer
Cash From Financing BLANK
Short-term bank debt Answer
Common stock + additional paid in capital Answer
Dividends Paid Answer
Cash From Financing Answer
Decrease in Cash Answer
Cash, beginning of year Answer
Cash, end of year $Answer
Answer:
For Year Ended 2013
(in thousands)
Cash flow From Operations BLANK
Net Income 792,000
Add:
Depression Expense 300,000
Amortization expense 12,000
Less:
Gain on Sale of Investments
Accounts receivable (net) -180,000
Inventory 18,000
Accountable Payable Answer 60,000
Cash Flow From Operations 1,002,000
Cash Flow for Investing
Marketable securities -240,000
Long-term investments 96,000
Purchase of property and equipment -1,380,000
Sale of Property and Equipment 280,000
Cash Flow for Investing -1,244,000
Cash From Financing
Short-term bank debt 228,000
Common stock + additional paid in capital 96,000
Dividends Paid 8,000
Cash From Financing 332,000
Decrease in Cash 90,000
Cash, beginning of year 18,000
Cash, end of year 108,000
108,000
0
Step-by-step explanation:
Assets
Current
Cash $18,000 $108,000
Marketable securities 240,000
Accounts receivable (net) 708,000 528,000
Inventory 720,000 738,000
Total current assets 1,686,000 1,374,000
Noncurrent
Long-term investments 372,000 468,000
Property & equipment 2,160,000 1,320,000
Less: Accumulated depreciation -600,000 -600,000
Property & equipment (net) 1,560,000 720,000
Intangibles (net) 114,000 126,000
Total noncurrent assets 2,046,000 1,314,000
Total assets $3,732,000 $2,688,000
Liabilities & Shareholders' Equity
Accounts payable $1,080,000 $1,020,000
Short-term bank debt 228,000
Total liabilities 1,308,000 1,020,000
Shareholders' equity
Common stock, $10 par value 930,000 810,000
Additional paid-in-capital 456,000 360,000
Retained earnings 1,038,000 498,000
Total shareholders' equity 2,424,000 1,668,000
Total liabilities & shareholders' equity $3,732,000 $2,688,000
AMPHLETT CORPORATION
Consolidated Income Statement
For Year Ended ($ thousands) 2013 2012
Revenues $1,716,000 $1,440,000
Less: Cost of goods sold 600,000 504,000
Gross margin 1,116,000 936,000
Less: Selling, general & administrative expenses 180,000 144,000
Operating income 936,000 792,000
Gain on sale of investments 84,000
Net income before taxes 852,000 792,000
Less: Income taxes 60,000 13,200
Net income after taxes $792,000 $778,800
For Year Ended 2013
(in thousands)
Cash flow From Operations BLANK
Net Income 792,000
Add:
Depression Expense 300,000
Amortization expense 12,000
Less:
Gain on Sale of Investments
Accounts receivable (net) -180,000
Inventory 18,000
Accountable Payable Answer 60,000
Cash Flow From Operations 1,002,000
Cash Flow for Investing
Marketable securities -240,000
Long-term investments 96,000
Purchase of property and equipment -1,380,000
Sale of Property and Equipment 280,000
Cash Flow for Investing -1,244,000
Cash From Financing
Short-term bank debt 228,000
Common stock + additional paid in capital 96,000
Dividends Paid 8,000
Cash From Financing 332,000
Decrease in Cash 90,000
Cash, beginning of year 18,000
Cash, end of year 108,000
108,000
0
Determine the 12th term of the following Arithmetic sequence, 5 ; 12; 19;... (2)
Answer:
26-33-40-47-54-61-68-75-82-89-96
determine the value of n 25+2-15÷3=n
What is the common factor in 14xy – 25yz?
1. z
2. x
3. xyz
4. y
Answer:
it would be y since both are common there
What is the y-intercept of a line that passes through the points (1-7) and (5-25)?
Given:
A line passes through the points (1,-7) and (5,-25).
To find:
The y-intercept of the line.
Solution:
The line passes through the points (1-7) and (5-25). So, the equation of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-7)=\dfrac{-25-(-7)}{5-1}(x-1)[/tex]
[tex]y+7=\dfrac{-25+7}{4}(x-1)[/tex]
[tex]y+7=\dfrac{-18}{4}(x-1)[/tex]
[tex]y+7=-4.5(x-1)[/tex]
Subtracting 7 from both sides, we get
[tex]y=-4.5x+4.5-7[/tex]
[tex]y=-4.5x-2.5[/tex]
Putting x=0, we get
[tex]y=-4.5(0)-2.5[/tex]
[tex]y=0-2.5[/tex]
[tex]y=-2.5[/tex]
Therefore, the y-intercept of the given line is -2.5 and the vertex form of (0,-2.5).
can anyone help me please?
Answer:
line n
Step-by-step explanation:
Estimate 307‾‾‾‾√ between two consecutive whole numbers. Enter the numbers in the boxes below.
Answer:
17, 18
Step-by-step explanation:
closest perfect square that is lower than 307 is 289
closest perfect square that is greater than 307 is 324
[tex]\sqrt{289} < \sqrt{307} < \sqrt{324}[/tex]
[tex]17<\sqrt{307} <18[/tex]
HELP ME !!!!?? Brainliest if right
