Answer:
https://www.teachoo.com/3815/705/Example-35---Find-dy-dx--if-x--at2--y--2at---Class-12-CBSE-/category/Examples/
-3/7(21x+7)=-7x+11
A.) x=-7/8
B.) x=-7
C.) x=7
D.) x=-7/8
Answer:
B
Step-by-step explanation:
-3/7 (21x + 7) = -7x + 11
Let's simplify the left side real quick
Distribute the -3/7
(-3/7)21x + 7(-3/7)
-63x/7 + -21/7
-9x - 3 = -7x + 11
Move like terms to one side
Let's move the variables to the left side by adding both sides by 7x
-9x - 3 = -7x + 11
+7x +7x
-2x - 3 = 11
Add both sides by 3
-2x - 3 = 11
+3 +3
-2x = 14
Divide both sides by the coefficient, -2, to isolate the variable, x
-2x/-2 = 14/-2
x = -7
What is the volume of the following
rectangular prism?
2 units
units
7 1/3
Answer:
44/3 units cubed
Step-by-step explanation:
The volume of the given rectangular prism will be 14.67 cubic units.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,
V = L x W x H
The area of one face is 7 ¹/₃ square units. And height is 2 units.
First, convert the mixed fraction number into a decimal number.
L x W = 7¹/₃
L x W = 7 + 1/3
L x W = 7 + 0.33
L x W = 7.33
Then the volume of the prism is calculated as,
V = L x W x H
V = 7.33 x 2
V = 14.67 cubic units
The volume of the given rectangular prism will be 14.67 cubic units.
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A water park uses 18,000 gallons
of water per day. A golf course
uses 854 gallons of water per day.
A car wash uses 3,360 gallons of
water per day. How many more
gallons of water does the water
park use each day than the golf
course and car wash combined?
u.mmm is a prime number of the queen of the pants down the street and is not
Write expression as a sine or cosine of an angle.
cos 94° cos 18° + sin 94° sin 18°
=========================================================
Explanation:
The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:
cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
cos(A)cos(B) + sin(A)sin(B) = cos(A - B)
cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)
cos(94)cos(18) + sin(94)sin(18) = cos(76)
----------
We can verify this by use of a calculator. Make sure your calculator is in degree mode.
cos(94)cos(18) + sin(94)sin(18) = 0.24192cos(76) = 0.24192Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.
Help math homework sucks
One is given the following information:
Triangle (ABC) is an isosceles triangle (meaning two of its sides are congruentSide (AB = AC)One property of an isosceles triangle is the base angles theorem. This states that in an isosceles triangle, the two angles that are opposite the congruent sides are also congruent. Applying this theorem here, one can state the following:
[tex]AB = AC\\\\m<C = m<B[/tex]
The sum of angle measures in a triangle is (180) degrees. One can apply this here by stating the following:
[tex]m<A+m<B+m<C=180[/tex]
Substitute in the proved information: express angle (<C) in terms of angle (<B).
[tex]m<A+m<B+m<C=180[/tex]
[tex]m<A+m<B+m<B=180[/tex]
Simplify, combine like terms.
[tex]m<A+m<B+m<B=180[/tex]
[tex]m<A+2(m<B)=180[/tex]
Inverse operations: solve for angle (<B)
[tex]m<A+2(m<B)=180[/tex]
[tex]2(m<B)=180-(m<A)[/tex]
[tex]m<B=\frac{180-(m<A)}{2}[/tex]
Simplify,
[tex]m<B=\frac{180-(m<A)}{2}[/tex]
[tex]m<B=90-\frac{(m<A)}{2}[/tex]
Thus, one has proven that the statement ([tex]m<B=90-\frac{(m<A)}{2}[/tex]) is true.
Please note, this proof can be typed in a statement-reason format, where the bolded part of the written words above the statement is the reason.
93. Let f(x) = 3x - 1 and g(x) = x + 5. Evaluate the following limits. (a) lim x→3 f(g(x)] (b) lim x→3 g[f(x)]
Answer:
a) 26. b) 13
Step-by-step explanation:
steps are in picture.
Note:If you have any question about it you can ask.
sides of a square is 20cm What is its area??
Answer:
[tex]area = {a}^{2} \\ = {20}^{2} \\ = 400 {cm}^{2} \\ thank \: you[/tex]
Answer:
[tex]\huge\boxed{\sf A = 400\ cm\²}[/tex]
Step-by-step explanation:
Side length of square = L = 20 cm
Formula:
Area of the square (A) = L² = L × L
Solution:
A = 20 cm × 20 cm
A = 400 cm²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!3= −4g −5
what is g?
Answer:
3 = - 4g - 5
3 + 5 = - 4g
8 = - 4g
8/-4 = g
-2 = g
* g = -2
The value of g in the equation 3= −4g −5 is -2.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 3=-4g-5
Three equal to minus four times of g minus five.
The g in the equation is a variable.
The operator in the given equation is Subtraction which is minus.
We need to find the value of variable g.
By addition property add 5 on both sides
3+5= −4g −5+5
The plus five and minus five will be cancelled in the right side.
3+5=-4g
Add 3 and 5 in left side.
8=-4g
By division property divide both sides by 4
g=-2
Hence, the value of g in the equation 3= −4g −5 is -2.
To learn more on Equation:
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-what is the sum of -15+18
Step-by-step explanation:
the sum of - 15 + 18 is 3
please mark the brainliest thank you
Answer:
Step-by-step explanation:
-15+18 = 3
5. Resolve into factors. a) 2x + 5x + 3
please do this
Hi there!
[tex]\large\boxed{(2x + 3)(x + 1)}[/tex]
We can split into factors using the "guess and check" method.
Factors are in the format of:
(ax + b)(cx + d), where in this instance:
a · c = 2
bc + da = 5
b · d = 3
Thus, we get:
(2x + 3)(x + 1)
Answer:
2x^2 +5x +3 3*2 =6 and 3+2 = 5
2x2 +2x +3x +3
2x(x +1) + 3(x+1)
(x+1)(2x+3)
Step-by-step explanation:
(4) ^ (1/3) * (3 ^ (1/3) * 3 ^ (1/2)) ^ 7 / (9 ^ (3/4))
Answer:
[tex] \sqrt[3]{4} \times {3}^{ \frac{35 \sqrt{3} }{54} } [/tex]
Step-by-step explanation:
attached
the square root of 24025
Answer:
155
Step-by-step explanation:
✓24025=155
..,......,.................
I need help and ty for helping
which of the following to variables would you expect to have no correlation?
A-total of a ice cream sales in amount of births in a city
b-total amount of ice cream sales in amount of ice cream cones used
c-total amount of ice cream sales in temperature outside
d-total amount of ice cream sales in amount of precipitation outside
Step-by-step explanation:
A because the amount of ice cream sales doesn't relate to the number of births in a city.
B works because amount of ice cream sales can relate to money. Both C and D work because temperature could affect when people want to buy ice cream. (people most likely won't buy ice cream in the winter but most likely will in the summer)
NEED ANSWER ASAP The perimeter of a rectangle is 60m^2 and the length is twice as long as the width. Find the length, width, and area.
Answer:
please perimeter is a summation .
so how can the perimeter be 60^2?
4x squared minus 7x =3
Step-by-step explanation:
4x^2-7x=3
4x^2-7x-3=3-3
4x^2-7x-3=0
X1,2= -(-7)±√(-7)^2-4*4(-3)/2*4
x1,2= -(-7)±√97/2*4
X=7+√97 /8,X=7-√97 /8
Vertical Stretch of 7, up 8, reflect over the x axis???
Answer:
f(x) = -(7x) + 8
Step-by-step explanation:
The negative on the outside reflects over the x-axis.
The 7 on the inside stretches the function vertically.
The +8 on the outside moves the function up 8.
f(x)=1/x; Find f(1/2)
Answer:
2
Step-by-step explanation:
f(x) = 1 / x
f(1/2) = 1 / (1/2)
Reciprocal of 1/2 is 2, since you flip numerator and denominator:
f(1/2) = 2
Light travels at a speed of 3.00 x 10^10 cm/sec. What is the speed of light in km/hr?
Answer:
100 centimeter = 1 meter
1000 meter is 1 kilometer.
so speed is 300000 kilometer/second.
Step-by-step explanation:
There are 3600 seconds in one hour, multiply with 3600=
1080 000 000 kilometer/hour.
Answer:
1.08^9km/hr
Step-by-step explanation:
3 x 10^10cm/ 1s
(3 x 10^10 ÷100÷1000)km / 1÷60÷60
=1.08^9km/hr
Determine whether each situation is an example of inductive reasoning or deductive reasoning and explain why.
A. The last few times I’ve driven past the beach on a sunny day, the parking lot was nearly full. Therefore, on sunny days, the beach parking lot will be nearly full.
B. On Thursdays, the trash gets picked up at the curb of the driveway. Today is Thursday. Therefore, the trash will get picked up at the curb of the driveway today.
Select the correct answer from each drop-down menu.
Statement A is an example of (A. Deducting reasoning B.inducting reasoning)The statement (A. applies and established truth to a specific example B. Uses previous examples to make a conjecture)
Statement B is an example of (A. Deducting reasoning B.inducting reasoning)The statement (A. applies and established truth to a specific example B. Uses previous examples to make a conjecture)
Answer: here it is
Step-by-step explanation:
Statement A is an example of inductive statement, whereas, statement B is a example of deductive statement.
What is inductive reasoning?Inductive reasoning is a method of reasoning in which a body of observations is considered to derive a general principle. It consists of making broad generalizations based on specific observations.
For example,
The last few times I’ve driven past the beach on a sunny day, the parking lot was nearly full. Therefore, on sunny days, the beach parking lot will be nearly full.
What is deductive reasoning?Deductive reasoning is the mental process of drawing deductive inferences. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if it is impossible for the premises to be true and the conclusion to be false.
For example,
On Thursdays, the trash gets picked up at the curb of the driveway. Today is Thursday. Therefore, the trash will get picked up at the curb of the driveway today.
Learn more about inductive and deductive reasoning here
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Solve the proportion below.
90/x=3/4
x =
O A. 91
B. 120
C. 150
O D. 99
Answer:
B) 120
Step-by-step explanation:
Initial problem: 90/x = 3/4
Cross multiply to get:
90*4 = 3x
360 = 3x
x = 120
Check (optional):
90/120 = 3/4
(simplify):
3/4 = 3/4 so it is correct
If you're confused about any of these steps, just let me know and I'll try to help!
The value of x would be B. 120
To solve the proportion 90/x = 3/4, we can use cross-multiplication. Cross-multiplication involves multiplying the numerator of the first fraction (90) with the denominator of the second fraction (4), and multiplying the numerator of the second fraction (3) with the denominator of the first fraction (x).
So, the equation becomes:
90 * 4 = 3 * x
Simplifying:
360 = 3x
Now we divide both sides of the equation by 3:
360/3 = 3x/3
120 = x
Therefore, x = 120.
The correct answer is option B. 120.
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Can someone help me with problem 6 and 7? Please explain I am confused
Michael is working two jobs. He gets paid $15 per hour for his job. He earns $12 per hour at his second job. Michael worked the same amount of time at each job. Michael earned a total of $405 for the week. How many hours did he spend working at each job? How many hours did Michael work in the week total?
Answer:
15 hours and 30 hours
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Angle sum theorem. What does y=?
Answer:
90 degrees
Step-by-step explanation:
As you move to the right of this place value chart you are multiplying by what value
Answer: 1/10 or 0.1
For example, going from 700 to 70 is
700*(1/10) = 700*0.1 = 70
which is us going from the hundreds place value to the tens place value.
If we move to the left instead of right, we would multiply each item by 10.
If the formula c=2xr c stands for [blank]
[tex]\huge\mathsf\green{Answer} - [/tex]
f the formula c=2xr c stands for circumference of a circle
hope it helps youWhat is the common difference in the arithmetic sequence -2, -5, -8, -11, -14, ... ?
A. 3
B. -2
C. 2.5
D. -3
Answer:
D. -3
Step-by-step explanation:
d = t2 - t1
d = -5 - (-2)
d = -3
A number rounded to the nearest hundred thousand is 400,000 the same number rounded to the nearest ten thousand is 350,000 what is the number
Answer:
347,000
Step-by-step explanation:
Does anyone know how to do this
Answer:
Step-by-step explanation:
1. Thousands. Grater number 1,799,347
2. Millions. 3,555,782
3. Hundred thousands. 97,245,375
4. Hundred millions. 670,256,112
5. Hundreds. 34,910,295
6. Tens. 83,945,290
7. Ones. 823,579,044
8. Ten millions. 759,566,000
9. Ten thousands. 56,230,448
10. Tens. 967,442,021
11. Hundred thousands. 326,738,902
12. Tens. 5,266,993
Does anyone know how to solve this?
A triangle has angles described as follows: The measure of the first angle is two more than nine times a number, the measure of the second angle is five less than the first, and the measure of the third angle is 19 times the number more than the second angle. What is the measure of each angle in degrees?
Answer:
x = measure of the first angle
2x -5 = measure of the second angle
3x - 19 = measure of the third angle
the sum of the measures of a triangle is 180 degrees
x + (2x-5) + (3x-19) = 180
6x - 18 = 180
x = 33 (first angle)
2x - 5 = 2 (33) -5 = 61 (second angle)
3x - 19 = 3 (33) - 19 = 86 (third angle)