Answer:
The expression [tex](x+1)^2[/tex] represents the radius of the soap dispenser.
The expression [tex]4x+1[/tex] represents the height of the soap dispenser.
Step-by-step explanation:
The question says that the soap dispenser is in the form of a cylinder.
Now, we find the volume of the cylinder by using the given formula:
[tex]V= \pi r^2 h[/tex], where V represents the volume, 'r' represents the radius, and 'h' represents the height of the cylinder.
Now, the volume is the product of radius squared and the height, if they both are functions of [tex]x[/tex], then the function to represent the volume must have cubic exponents.
Since, the radius is squared in the formula and it is a function of [tex]x[/tex] that implies that the function of radius must have square as the exponent of [tex]x[/tex], therefore, the expression [tex](x+1)^2[/tex] will represent the radius of the soap dispenser and the expression [tex](4x+1)[/tex] represents the height of the soap dispenser.
Answer:
D
Step-by-step explanation:
5sq.km 95ha 8994sq.m + 11sq.km. 11ha 9010sq.m. =
Final answer:
The total area when the two given areas are added together, after converting them into the same unit (square meters), is 17,078,004 m².
Explanation:
The student is asking to perform an addition of two figures that represent areas in different units (square kilometers, hectares, and square meters). To solve this, we need to convert all the areas to the same unit, for instance, square meters (m²), and then add them together. Here's the conversion and addition step-by-step:
Convert 5 square kilometers (sq.km) to square meters: 5 sq.km = 5 × (1,000²) = 5,000,000 m².
Convert 95 hectares (ha) to square meters: 95 ha = 95 × 10,000 = 950,000 m².
Add the square meters: 5,000,000 m² + 950,000 m² + 8,994 m² = 5,958,994 m².
For the second area, convert 11 sq.km to m²: 11 sq.km = 11 × (1,000²) = 11,000,000 m².
Convert 11 ha to m²: 11 ha = 11 × 10,000 = 110,000 m².
Add the square meters: 11,000,000 m² + 110,000 m² + 9,010 m² = 11,119,010 m².
Finally, add the two total areas in m²: 5,958,994 m² + 11,119,010 m² = 17,078,004 m².
Tamar wants to select an integer that is closer to zero on the number line than -3 is. How many possible choices other than zero does she have?
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The number are 1, 2, -1, -2. Thus, the number of possible choices Tamar have is 4.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
Tamar wants to select an integer that is closer to zero on the number line than -3 is. Since the distance between 0 and -3 is 3 units, therefore, we need to find the integers that are either 1unit or 2 units away from zero. Hence, the number are 1, 2, -1, -2. Thus, the number of possible choices Tamar have is 4.
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How long does it take a train traveling at constant rate of 70 miles per hour to travel 350 miles
A 280 hours
B 20 hours
C 5 hours
D 245 hours
The answer is C) 5 hours
The square of a number x is 92. The number x is between what two consecutive whole number
Answer:
i think 9 and 11 i might be wrong sry\
Step-by-step explanation:
(Will give brainliest to first correct answer) What is the product of −2 1/4 and 2 1/2? (Fractions with whole numbers)
Enter your answer as a mixed number, in simplified form, in the box.
Can someone help me to answer this PLEASE!!!!!
Convert 6.039 x 10^6 to decimal notation
show solution.
Move the decimal point 6 places to the right to get the answer. the answer would be
6039000.000
in decimal notation, it should be 6/1 x 1000000/1000000 + 0/1 x 100000/10000 + 3/1 x 10000/10000 + 9/1 x 1000 + 0/1 x 100/100 + 0/1 x 10/10 + 0/1 x 1/1
Becky has 4 quarters. Becky's mom gives her 3 more. Becky spends 2 of them on candy. How many quarters does Becky have left?
4+3= 7
7-2=5
She has 5 quarters.
Hope I helped!
Good Luck!
Becky has 5 quarters left.
Becky starts with 4 quarters and then receives an additional 3 quarters from her mom, giving her a total of 7 quarters. After spending 2 quarters on candy, she subtracts those from her total, leaving her with 5 quarters remaining.
To solve the chocolate problem, we need to work backward from the information given.
Lisa ends up with 6 chocolates, which means before Lisa received her half, there must have been 12 chocolates remaining (since 6 is half of 12).
Jenny ate 2 chocolates before that, so she originally had 14 chocolates.
Therefore, the correct answer is C. 14.
what is 30 feet = yrds
it would be 10 yards
It’s ten yards, 1 foot = 0.333 yard
Will give the brainiest to whoever answers first
4.What are the coordinates of the vertex of y = –x2 – 12x – 32?
5.What's the y-intercept of y = –x2 – 12x – 32?
6.Find any zeros of y = –x2 – 12x – 32.
Question 1:
For this case we have:
The value of the x coordinate of the vertex is with the equation given by:
[tex]x = -\frac{b}{2a} \\[/tex]
Where b = -12 and a = -1
therefore,
[tex]x =- \frac{-12}{2(-1)} \\\\x = -6\\[/tex]
To find the coordinate and substitute in the equation:
[tex]y = - (- 6) ^ 2-12 (-6) -32\\\\y = 4\\[/tex]
Answer:
The coordinates of the vertex are (-6.4)
Question 2:
For this case we have the following equation:
[tex]y = -x ^ 2 - 12x - 32\\[/tex]
By definition, to find the intercept point with the y axis, we make x = 0 and substitute as shown below:
[tex]y = - (0) ^ 2-12 (0) -32\\\\y = -32\\[/tex]
Thus, the intercept point with the y axis is given by (0, -32)
Answer:
the y-intercept is (0, -32)
Question 3:
For this case we have the following equation:
[tex]y = -x ^ 2 - 12x - 32\\[/tex]
The zeros of the function are given by the cut points with the x axis, so, equaling the equation to zero and clearing x we have:
[tex]0 = -x ^ 2 - 12x - 32\\[/tex]
Rewriting the equation we have:
[tex]0 = x ^ 2 + 12x +32\\[/tex]
Factoring has the following:
[tex](x + 4) (x + 8) = 0\\[/tex]
Thus, the solutions are given by:
[tex]x = -4 \\\\x = -8\\[/tex]
Therefore, the zeros of the equation are (-4.0) and (-8.0)
Answer:
(-4.0) and (-8.0)
What is the difference between 76.82 and 2.761
74.059 is the answer.
Hope this helps...
The difference usually means to subtract so I am going to subtract 76.82 - 2.761 to get an answer of 74.059.
Bi-weekly mortgage is $576. Monthly phone charges are $44.95. The electric bill last month was $105.88. Groceries cost about $98/week. What is a good estimate of your monthly expenses?
Final answer:
To estimate the monthly expenses, we calculate each monthly cost including the bi-weekly mortgage paid twice a month, phone charges, electric bill, and groceries multiplied by the average number of weeks per month for a total of $1,728.64.
Explanation:
To estimate the monthly expenses based on the provided costs, we need to calculate the monthly totals of each category. Here's the breakdown:
Bi-weekly mortgage: Since a month roughly consists of 4 weeks, a bi-weekly amount would be paid twice. Therefore, $576 × 2 = $1,152 for the mortgage per month.
Monthly phone charges: This cost is already on a monthly basis, so it's $44.95 for the phone.
Electric bill: The electric bill from last month was $105.88 and we'll use this as an estimate for the current month as well.
Groceries: Groceries cost about $98/week. As there are roughly 4.345 weeks in a month (52 weeks in a year divided by 12 months), we'll multiply the weekly cost by this factor: $98 × 4.345 ≈ $425.81 for groceries.
Adding these expenses, the total estimated monthly expenses would be $1,152 (mortgage) + $44.95 (phone) + $105.88 (electric) + $425.81 (groceries) = $1,728.64.
Polygon ABCD is translated to create polygon A’B’C’D’. Point A is located at (1,5) and point A’ is located at (-2,3). Which expression defines the transformation of any point (x,y) to (x’,y’) on the polygons?
Answer:
The translation is 3 units left and 2 units down
Step-by-step explanation:
we know that
Point A is located at (1,5) and point A’ is located at (-2,3)
so
The rule of the translation is
(x,y) -----> (x+a,y+b)
(1,5) ----> (-2,3)
Find the values of a and b
1+a=-2 ----> a=-2-1 ----> a=-3
5+b=3 ----> b=3-5 ----> b=-2
so
The rule of the translation is
(x,y) -----> (x-3,y-2)
That means -----> The translation is 3 units left and 2 units down
Answer:
x’ = x - 3
y’ = y - 2
Step-by-step explanation:
Timothy began the week with $35.He bought lunch at school,paying $2.25 for each meal. Let x be the number of meals he bought at school and y be the amount of money he had left for the end of the week. Which equation can represent the relationship in the sitiountaion?
Hello 156339
Since we know the amount of money is always decreasing, then we should know to subtract by 35. Because 2.25 is the cost per meal and x is the number of meals, the total cost should be 2.25x, which is correct because y is the amount of money left over.
Our final equation would be:
y = 35 - 2.25x
:)
The relationship between Timothy's beginning funds, cost of meals, and money left can be represented as y = 35 - 2.25x, where x is the number of meals bought and y is the remaining money.
Explanation:The relationship between the amount of money Timothy started with, the cost of meals he bought, and the money he had left at the end of the week can be represented with a simple linear equation. The key detail provided in your question is that Timothy started with $35 and his meals cost $2.25 each (we can represent the number of meals as x). We can also denote the amount of money he has left at the end of the week as y. We can then write the equation as: y = 35 - 2.25x. With each meal Timothy buys, his remaining money (y) is reduced by $2.25.
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Help!!!!!!! Plz and thank yu
a) 0/8 = 0
b) -1/1 = -1
c) 4.5 / -1 = -4.5
Rochelle made three $25 withdrawals and then wrote a check for $100. If she started with $200 in her account, find the total amount she has left in her account in dollars.
$25. 25 x 3 is 75. Plus the 100 is 175. 200 - 175 is $25
Katrina has 12 more car payments that are each $178. About how much money does she have left to pay? $200
We are given
total number of cars =12
cost of each car = $178
now, we have to find total cost
so, we can use formula
total cost = (total number of cars)* ( cost of each car)
so, we can plug values
and we get
[tex]TC=12\times 178[/tex]
[tex]TC=2136[/tex]
So, the cost of 12 cars is $2136.........Answer
Answer:
2136
Step-by-step explanation:
multiply 12 and 178
what is ( 2 ^8 x 5^-5 x 19^0) ^-2 x ( 5^-2 / 2^3 ) ^4 x 2^28
(2^8x5^-5x19^0)^-2 x (5^-2/2^3)^4 x 2^28
(256x0.00032x1)^-2 x (0.04/8)^4 x 2^28
0.08192^-2 x 0.005^4 x 268,435,456
149.0116119384766 x 0.000000000625 x 268,435,456
0.000000093132257 x 268,435,456
= 25
Ricardo earns a base salary of $500 a week plus a weekly commission he has earned a commission of $325, $460, $280, $400, $380, and $250 each week for the last six weeks.
Find the mean, median, mode, and range for the commision Ricardo earned during these six weeks. Round answers to the nearest tenth.
What commission must Ricardo earn during the seventh week to raise his mean weekly commision to $370.70?
What commission must Ricardo earn during the seventh week to raise his mean weekly earnings to $850?
Answers:
1)
Mean = $349.2
Median = $352.5
Range = $210
2)
$499.90
3)
$355
I have attached a photo of the work written for this question:
The price of a used car is reduced by 25% to $6,000. What was the original price of the car in dollars? Round your answer to the nearest dollar.
The original price of the used car, before the 25% reduction, was approximately $8,000. This was calculated by considering that $6,000 represents 75% of the original price.
Explanation:The question is related to percentage and price, which falls under the realm of Mathematics. To find the original price of the car, you must consider that the price after the 25% discount was $6,000. This 25% reduction means that $6,000 represents 75% of the original price because 100% - 25% equals 75%. To find the original price (which is 100%), you can set up a simple equation and solve for the original price using cross multiplication. The equation will look like this:
75/100 = 6000/x
When you cross multiply and solve for x, the result is $8,000. So, the original price of the car was approximately $8,000.
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The formula for the surface area S of a rectangular prism is S=2hl+2hw+2lw, where l is the length,w is the width, and h is the height. Solve the formula for height h.
Hey there!!
Equation given :
S = 2hl + 2hw + 2lw
... S = 2 ( hl + hw + lw )
S / 2 = hl + hw + lw
S / 2 = h ( l + w ) + lw
S / 2 - lw = h ( l + w )
S - 2lw / 2 = h ( l + w )
( S - 2lw / 2 ) / ( l + w ) = h
( S - 2lw / 2l + 2w ) = h
[tex]\frac{S-2lw}{2l+2w} = h[/tex]
Hope my answer helps!!
To solve the formula S=2hl+2hw+2lw for h, rearrange the formula using basic algebra. The final formula for h is h = (S - 2lw) / (2l + 2w).
Explanation:The formula for the surface area S of a rectangular prism is S=2hl+2hw+2lw, where l is the length,w is the width, and h is the height. To solve this formula for height h, the formula needs to be rearranged with basic algebra.
Start by subtracting 2lw from both sides of the equation, which leaves us with S - 2lw = 2hl + 2hw. Then, factor out the h from the right side of the equation, you get S - 2lw = h(2l + 2w).
Finally, to solve for h, divide both sides of the equation by (2l + 2w). The final formula to solve for height h would be h = (S - 2lw) / (2l + 2w).
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#7 pleasebdbdbdbx??????????
What is the square root of 25
The square root of 25 is 5.
Your just trying to find what number you can multiply with its self to make that number. So 5x5 = 25
Another example is lets say 64, the square root of 64 is 8 because 8x8 = 64.
Hope this makes sense!!
Hope this Helps!!
What is the square root of 25?
5 * 5 = 25
√25 = 5
your answer is 5
(3x)^2 write in expanded form use parentheses to indicate multiplication
Expand (3x)^2
When you see ^2, it means that the term(s) inside the parenthesis should be copied once, and multiplied.
(3x)^2 = (3x)(3x)
(3x)(3x) is your expanded form
~Rise Above the Ordinary
Insert the brackets to make each statement true.
40 ÷ 2 +3 x 2^2 -3 =23
Ari has 10 boards that are 7.8ft long. What is the total length of all the boards Ari has
"10 boards that are 7.8ft long" can be interpreted as 10 * 7.8
When multiplying a number by 10, just move the decimal one point over.
7.8 * 10 = 78
Ari has 78 feet worth of boards.
(Will give brainliest to first correct answer) Multiply.
5⋅2/3 (fraction)
Enter your answer as an improper fraction, in simplified form, in the box.
Answer:
10/3
Step-by-step explanation:
put 5 over 1 and multiply across and you get 10/3
Forty tickets were Sold for a lottery. If Lin bought two tickets, what are the chances he will win?
Lin has a 2/40 chance of winning,
or in percentage, a 2.5% chance.
the Martin family's truck gets an average of 25 miles per gallon predict how many miles can they drive using 7 gallons of gas
They will go 175 Miles, all you have to do is 25 x 7 Hope this Helps :D
If the truck gets 25 MPG [Miles Per Gallon] And They use 7 Gallons Of gas you do 25*7.
Making it 175 Miles. Martin's Family Can Drive 175 On 7 gallons of Gas.
what is 2/3x+4=4/5x-2
Hey there!
Apply fraction cross multiply: if a/b = c/d , then a *d = b*c
2 ( 5x - 2 ) = ( 2x + 4 ) * 4
expand : 2 (5x-2 ) => 2*5x - 2*2 => 10x - 4
expand : ( 2x +4 ) * 4 => 2x * 4 + 4*4 => 8x + 16
10x - 4 = 8x+16
add 4 to both sides:
10x-4+4 = 8x+16+4
simplify :
10x = 8x + 20
subtract 8x from both sides:
10x -8x = 8x+20-8x
simplify:
2x = 20
Therefore:
x = 20 / 2
x = 10
Hope that helps!
Step 1. Simplify 2/3x to 2x/3
2x/3 + 4 = 4/5x - 2
Step 2. Simplify 4/5x to 4x/5
2x/3 + 4 = 4x/5 - 2
Step 3. Multiply both sides by 15 (the LCM of 3,5)
10x + 60 = 12x - 30
Step 4. Subtract 10x from both sides
60 = 12x - 30 - 10x
Step 5. Simplify 12x - 30 - 10x to 2x - 30
60 =2x - 30
Step 6. Add 30 to both sides
60 + 30 =2x
Step 7. Simplify 60 + 30 to 90
90 = 2x
Step 8. Divide both sides by 2
90/2 = x
Step 9. Simplify 90/2 to 45
45 = x
Step 10. Switch sides
x = 45
what is a transformation that shrinks or stretches a figure
A dilation is a transformation that shrinks or stretches a figure by multiplying or dividing each point by a scale factor.
Explanation:A transformation that shrinks or stretches a figure is called a dilation. A dilation is a transformation that changes the size of the figure without changing its shape. It can either shrink the figure, making it smaller, or stretch it, making it larger.
During a dilation, each point of the figure is multiplied or divided by a scale factor. If the scale factor is greater than 1, the figure is stretched. If the scale factor is between 0 and 1, the figure is shrunk.
For example, if we have a triangle and apply a dilation with a scale factor of 2, each side of the triangle will be multiplied by 2, resulting in a larger triangle.
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