Find the value of c such that the line y = 9/4 x + 9 is tangent to the curve y = c x .
The value of c such that the line y = 9/4 x + 9 is tangent to the curve y = c x is 9/4. This is because a line is tangent to a curve when it touches the curve at exactly one point, hence the slope of the given line (9/4) will be equal to the value of c, which is the slope of the curve.
Explanation:The problem asks us to find the value of c such that the line y = 9/4 x + 9 is tangent to the curve y = c x. A line is tangent to a curve when it touches the curve at exactly one point. In this context, the slope of the given line (9/4) will be equal to the value of c since in the line equation y = c x, c is the slope. So the value of c is 9/4.
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what is the cost of painting the walls and ceiling of a room with walls 30 foot by 25 foot by 1st foot with paint that covers at $9.50 per square yard, allowing for 1275 square feet for doors, windows, and baseboards?
Chad has 6 fewer sandwiches than Sarah.chad had 7 sandwiches. how many sandwiches did Sarah made?
Sarah made total 13 sandwiches.
What is an algebraic expression?
An algebraic expression is consists of variables, numbers with various mathematical operations.
Given that,
The number of sandwiches chad have = 7
Also, Chad has 6 fewer sandwiches than Sarah,
Let the number of sandwiches Sarah have = x,
According to condition,
Sarah has 6 more sandwiches than Chad,
⇒x = 7 + 6
⇒x = 13
The number of sandwiches that Sarah made is 13.
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Find the standard matrix of the linear transformation t(x, y, z) = (x − 2y + z, y − 2z, x + 3z).
Debbie's city took a survey about a plan for a new park. The city surveyed 600 people. 60% of the people surveyed liked the plan for the park. How many people liked the plan?
solve this equation
h(t)= -16t+175t+500
the sum of 5 consecutive integers is 110. what is the fourth number in the sequence
which fraction correctly completes the equation
Justin is going on a 2000 kilometer road trip with two friends. The car consumes 6 liters of gas for every 100 kilometers and gas costs $1.20 per liter. If Justin and his two friends want to spilt it evenly, how much should each pay and how many liters of gas do they need
2000 / 100 = 20
20 * 6 = 120 liters total gas
120 * 1.20 = $144 total for gas
144 / 3 = $48 each
Round $8.0443 to the nearest cent
To round $8.0443 to the nearest cent, we leave the second decimal at 4, since the third decimal is also a 4, resulting in $8.04
To round $8.0443 to the nearest cent, you need to look at the third decimal place, which is a '4'. Since we are rounding to the nearest cent, we only keep two decimal places. If the third decimal place is 5 or more, we would round up the second decimal place. However, because it is 4, we do not round up. Therefore, $8.0443 rounded to the nearest cent is $8.04
complete the calculation how to find partial products
1 2 4
× 2
----------
F the height remains fixed and the side of the base is decreasing by 0.002 meter/yr, what rate is the volume decreasing when the height is 180 meters and the width is 200 meters?
The original volume equation looks like this: V = 1/3 * h * (x^2)
After the side is reduced by 0.002, the new volume would look like V1 = 1/3 * h
* (x-0.002) ^ 2
Then we have:
V-V1 = 1/3*h*(x^2) - 1/3*h*(x – 0.002) ^2
= 1/3 * h *(x^2 - (x – 0.002) ^2)
= 1/3 * h * (0.004x - 0.00004)
The rate of decreasing is computed by:
(V-V1)/V * 100% = [1/3 * h *(0.004x - 0.00004)] / [1/3 * h * (x ^ 2)] *
100% this would be equal to (0.004x - 0.00004) / (x^2) * 100%
So replace x by 200, you’ll get:
(0.004(200) - 0.00004) / (200^2) * 100%
= 0.001999% is the rate of decreasing.
I need to find all real solutions. In this problem, a>0, a is not equal to 1
Give the numerical value of n corresponding to 5d.
Final answer:
The numerical value of n for the 5d orbitals is 5, which indicates that the d subshell in question is located in the fifth principal energy level of an atom.
Explanation:
The numerical value of n corresponding to the 5d orbitals is 5. In the context of atomic and quantum physics, the principal quantum number, denoted as n, signifies the principal electronic shell of an atom. Since the question refers to 5d, it means we are discussing the d subshell in the fifth principal energy level (n=5).
For a d subshell, which is represented by the azimuthal quantum number (l) having a value of 2, the first principal shell where a d subshell appears is when n=3. Therefore, the 5d subshell is present in the fifth principal energy level. As for the ml values of the d orbitals, which represent the magnetic quantum number, they can be -2, -1, 0, +1, or +2 for any d subshell.
write $80 for 16 tickets as a unite rate
it is 2 kilometers from Yoko's house to the nearest mailbox. How far is it in meters?
can someone help with my homework
Is the given answer a reasonable solution to the problem 7.92•10.21=88.8632
write 60,000+9,000+400+90+8 in standard form
help please #mathhelp
What is the distributative answer to 85 divided by 5 answer
85 divided by 5 equals 17.
To find the answer to 85 divided by 5 using the distributive property, we break 85 into simpler numbers that are easier to divide by 5. For example:
Step 1: Write 85 as a sum of numbers that can easily be divided by 5:
85 = 50 + 35
Step 2: Divide each part by 5:
50 ÷ 5 = 10
35 ÷ 5 = 7
Step 3: Add the results:
10 + 7 = 17
Therefore, 85 divided by 5 equals 17.
A seamstress has one-fourth of a foot of thread. Then she uses one-fifth of a foot of thread to sew a hole. How much of the thread is left?
Which of the following statements describes the process for solving 4 x ≥ -24?
Divide both sides of the inequality by -24 and flip the symbol.
Divide both sides of the inequality by -24 but don't flip the symbol.
Divide both sides of the inequality by 4 and flip the symbol.
Divide both sides of the inequality by 4 but don't flip the symbol.
solve this system of linear equations. separate the x- and y- values with a coma. -x=29-14y
-9x=-19+14y
We are given the two equations:
(1) -x=29-14y
(2) -9x=-19+14y
Multiply (1) by 9:
-9x = 261 – 126y
Subtract the two equations:
-9x = 261 – 126y
-
-9x=-19 + 14y
0 = 280 – 140y
140y = 280
y = 2
From (1):
-x = 29 – 14 (2)
x = -1
Answers:
x = -1
y = 2
The perimeter of a college athletic field is 104104 meters and the length is 1414 m more than the width. find the length and width.
if f(x)= -6x+6 then f^-1(x)=
To find the inverse of f(x) = -6x + 6, swap the variables and solve for y, yielding the inverse function f^-1(x) = 1 - (x/6).
To find the inverse function, f-1(x), of the given function f(x) = -6x + 6, you need to follow a series of steps. First, swap the 'x' and 'y', so it becomes x = -6y + 6. Next, solve this equation for 'y' to find the inverse function. Add 6x to both sides to get x + 6y = 6, then subtract x from both sides to have 6y = 6 - x. Dividing both sides by 6 results in y = 1 - (x/6). Therefore, the inverse function is f-1(x) = 1 - (x/6).
A dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month. Floss is sold 79 to a box, how many items does the dentist order each month
complete question:
A dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month. Floss is sold 70 to a box and toothbrushes are sold 50 to a box . how many items does the dentist order each month.
Answer:
The dentist orders 1050 number of floss and 1000 number of toothbrushes. The items are 2 different items namely floss and toothbrushes.
Step-by-step explanation:
The dentist orders 15 boxes of floss and 20 boxes of toothbrushes each month.
The floss is sold 70 to a box, this means about 70 numbers of floss occupies each box of floss. To get the total number of floss items in the 15 boxes of floss, we have to multiply the number of boxes of floss by the number of floss present in each box. Mathematically,
70 × 15 = 1050 items of floss
The boxes of toothbrushes is 20 . For each box the number of toothbrushes is 50 . To get the total number of tooth brushes we multiply the number of boxes by the total number of toothbrushes in each box.
50 × 20 = 1000 items of toothbrushes.
The dentist orders 1050 number of floss and 1000 number of toothbrushes. The items are 2 different items namely floss and toothbrushes.
Mikayla withdraws $20 on 4 different days during a week. Find the total change in her account balance after the withdrawals.
20 times 4 = 80
so the change in her account would be negative 80 dollars
The change in her account after 4 withdrawals of $20 the change in her account will be $(D - 80)
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given that Mikayla withdraws $20 on 4 different days during a week.
Assuming she had $D before she had made any withdrawals.
∴ The situation can be represented numerically as,
(D - 20 - 20 - 20 - 20) dollars.
= (D - 80) dollars.
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What is a 6% increase to $62,900
6% = 0.06
multiply:
62900*0.06 = 3,774 ( Would be the amount of increase)
add:
62900 + 3774 = 66,674 (would be the new total)
could someone help me? Don’t understand what to do