Answer:
D^2 = (x^2 + y^2) + z^2
and taking derivative of each term with respect to t or time, therefore:
2*D*dD/dt = 2*x*dx/dt + 2*y*dy/dt + 0 (since z is constant)
divide by 2 on both sides,
D*dD/dt = x*dx/dt + y*dy/dt
Need to solve for D at t =0, x (at t = 0) = 10 km, y (at t = 0) = 15 km
at t =0,
D^2 = c^2 + z^2 = (x^2 + y^2) + z^2 = 10^2 + 15^2 + 2^2 = 100 + 225 + 4 = 329
D = sqrt(329)
Therefore solving for dD/dt, which is the distance rate between the car and plane at t = 0
dD/dt = (x*dx/dt + y*dy/dt)/D = (10*190 + 15*60)/sqrt(329) = (1900 + 900)/sqrt(329)
= 2800/sqrt(329) = 154.4 km/hr
154.4 km/hr
Step-by-step explanation:
How many terms are in the polynomial 10x^2 + 5x - 11
Answer:
3 terms!
Step-by-step explanation:
You can tell by what is separated by addition or subtraction.
What is the first step to do when solving this equation for x:
3x−52/2 =5
options:
add 5 to each side of the equal sign
subtract 5 on each side of the equal sign
divide each side of the equal sign by 3
multiply each side of the equal sign by 2
Answer:
the equation has a fraction of -52/2 to get rid of that you need to Multiply both sides by 2
I need help please answer.
Answer:
that's easy It's Four
Step-by-step explanation:
6 plus four equals 10 and 10 plus four is 14
Answer:
4
Step-by-step explanation:
6 > 10 > 14
6 + _ = 10?, 10 + _ = 14?
6 + 4 = 10, 10 + 4 = 14
= 4
hope this helps! :D
Help meeeeeee plsssss
Answer:
A: dense and solid
E: located near a star
Step-by-step explanation:
got it right on the assignment
Term for 6+(4+x)=(6+4)+x
Answer:
Associative property of addition
Step-by-step explanation:
Answer:
Associative property of addition
Can anyone help me ASAP!
Answer:
17.3 in
Step-by-step explanation:
Answer: 17.3
Step-by-step explanation: If you divide 69 by 4 it gets you 17.25, so if you round that to the nearest tenth of an inch, it will get you 17.3.
PLEASE ANSWER QUICKLY I WILL GIVE BRAINLYEST
4. Consider the expression 9 + 3 x 2 exponent 2 - 1 x 4
(a) What is the value of the expression? Show your work.
(b) How does the value change when grouping symbols are placed around 22 – 1? Show your work.
Answer:
a) 17
b) 45
Step-by-step explanation:
a) [tex]9+3 x 2^{2} - 1 x 4[/tex]
use pemdas first,
[tex]2^{2}\\[/tex] = 4
3x4 = 12
1x4 = 4
now the equation is [tex]9+12 - 4[/tex]
9+12 = 21
that makes the equation 21-4
21-4 = 17
a) 17
now for b
b)
the equation would then be [tex]9+3 x (2^{2} - 1) x 4[/tex]
so youd use pemdas as always
start in the parenthases
[tex]2^{2}[/tex] = 4
4-1 = 3
the equation is now [tex]9+3 x 3 x 4[/tex]
now, multiply 3x3x4
3x3 = 9
9x4 = 36
now the equation is 9+36
9+36 is 45
b) 45
hope this helped!
Answer:
A) 17 B) 45
Step-by-step explanation:
Hope this helps.
Write the equation of the line that passes through the given points
(0,- 4) and (5,4)
Answer:
y=8/5x-4
Step-by-step explanation:
1:find the slope
[tex]\frac{4+4}{5-0} =\frac{8}{5}[/tex]
slope/m=8/5
2: solve for b using Y=mx+b
plug in the numbers to find b (the x and y get from one set of the points your given and the m is the slope)
Y=mx+b
y=4
m=8/5
x=5
4=8/5(5)+b
4=8+b
-4=b
than to put all the in y=mx+b form just plug in the b and m
What is the greatest common factor of 64xyz−36xy+24x?
Answer:
4x
Step-by-step explanation:
64xyz = 2⁶ * x * y* z
36xy = 2² * 3² * x * y
24x = 2³ * 3 * x
GCF = 2² *x = 4x
FAST NOW! HELP ASAP
GET RIGHT YOU GET BRAINIEST
Answer:
21 inches squared
Step-by-step explanation:
i think thats the answer???
Answer:3x7=21
Step-by-step explanation:
multiply 3x7 and its 21
ANSWER QUICK SHOW WORK!
1. 4(1-3x)+7x=9
2. 9-5x=12-(6x+7)
Answer:
1.) x = -1
2.) x = -4
Step-by-step explanation:
1.) 4(1 - 3x) + 7x = 9
=> Use distributive property:
4 - 12x + 7x = 9
=> Combine like terms:
4 - 5x = 9
=> Isolate 5x:
-5x = 5
=> Isolate x:
x = 5/-5
=> Simplify:
x = -1
2.) 9 - 5x = 12 - (6x + 7)
=> Use distributive property:
9 - 5x = 12 -6x - 7
=> Combine like terms:
9 - 5x = 5 - 6x
=> Isolate x to one side:
9 + x = 5
x = -4
Hope this helps!
Select the slope intercept form of an equation for a line with y-intercept =-5 and slope =2
Please show your work :)
Answer:
b: y=2x-5
Step-by-step explanation:
Y = MX + B
Slope = M
B = y-intercept
Factor x3 + x2 + x + 1 by grouping. What is the resulting expression?
(x2)(x + 1)
(x2 + 1)(x)
(x2 + 1)(x + 1)
(x3 + 1)(x + 1)
Answer:
(x²+1)(x+1)
Step-by-step explanation:
(x³+x²)+(x+1)
x²(x+1)+1(x+1)
(x²+1)(x+1)
Answer:
C- (x2 + 1)(x + 1)
Step-by-step explanation:
Which of the following describes the quotient of 5 and -35?
A. The quotient is an integer.
B. The quotient is undefined.
C. The quotient is an irrational number.
D. The quotient is a rational number. Reset
Answer:
A. is the answer
Step-by-step explanation:
1/2 divided by 3/4 = 1/a times b/c = d/e
Select the values that correctly complete the problem?
a= 1,2,3 or 4
b= 1,2,3 or 4
c= 1,2,3 or 4
d= 1,2,3 or 4
e= 1,2,3 or 4
Step-by-step explanation:
1/2 ÷ 3/4 = 1/2 × 4/3 = 4/6
a = 2
b = 4
c = 3
d = 4
e = 6
The population of a town after t years is represented by the function f(t)=7,248(0.983)t. What does the value 0.983 represent in this situation? The population of the town increases by 0.983 each year. The initial population of the town is 0.983. The population of the town decreases by 0.983 each year. The population of the town is 0.983 times the population of the town in the previous year.
Answer:
The population of the town is 0.983 times the population of the town in the previous
Step-by-step explanation:
THIS IS DUE IN 1 HOUR!!!! BRAINLIEST OPPORTUNITY!!!!!! PLEASE HELP!!!!! Write the radical below in simplest radical form. Decimals not allowed. SHOW YOUR WORK FOR BOTH OF THEM!!!!!!!! NO LINKS.
√150
√(7/2)
Answer:
Square root (V) of 150:
5 V6 (5*Square root of 6)
Square Root (V) of 7/2
V14/2 (square root of 14)/2
Points to the first 5 people to answer this question ·,
Answer:
Step-by-step explanation:
uh.
Answer:
Step-by-step explanation:
A bottle of milk has a volume of 850 ml. Last night Jim drank 100ml of milk. What percent of the milk did he drink? Round to the nearest tenth of a percent. Thank you!
Answer:
850 ml. Divde by 100ml = 8.5
Step-by-step explanation:
Practice #2a
Determine the value of n. Show you work below or on
the diagram.
T
Do not put the units with your answer just the value
Check answer
9cm
12cm
Answer:
answer of n is 15 by pythagoras theorem
Step-by-step explanation:
n is a hypotenuse
[tex] \sqrt{ {12}^{2} + {9}^{2} } = 15[/tex]
find the values for c and d that make the function differentiable:f(x) = 5x^2 + c if x = or < than 3dx^2 - 3 if x > 3
9514 1404 393
Answer:
c = -3; d = 5
Step-by-step explanation:
The function is differentiable if it is continuous and the derivative is continuous.
This function will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...
5(3^2) +c = 45 +c
From the right, the limit is ...
d(3^2) -3 = 9d -3
__
The derivative will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...
f'(x) = 10x
= 10(3) = 30
From the right, the limit is ...
f'(x) = 2dx
= 2d(3) = 6d
__
This gives us a pair of simultaneous equations in 'c' and 'd':
45 +c = 9d -3
6d = 30
The latter tells us d = 5. Then the former tells us ...
45 +c = 9(5) -3 ⇒ c = -3
The function is differentiable if c = -3 and d = 5.
_____
Additional comment
With these values, the function becomes ...
[tex]f(x)=\begin{cases}5x^2-3&\text{if }x\le 3\\5x^2-3&\text{if }x>3\end{cases}[/tex]
Linda works at the U-Pick Berry Farm selling strawberries and raspberries. Her first customer of the day bought 3 quarts of strawberries and 2 quarts of raspberries for $22.00. The second customer bought 5 quarts of strawberries and 4 quarts of raspberries for $39.00. Which system of equations can be used to find the costs of a quart of strawberries and a quart of raspberries? 3 x + 2 y = 39. 5 x + 4 y = 22. 2 x + 3 y = 39. 5 x + 4 y = 22. 3 x + 2 y = 22. 5 x + 4 y = 39. 2 x + 3 y = 22. 5 x + 4 y = 39.
Answer:
Sorry about the person above. The answer would be:
C. [tex]3x + 2y = 22[/tex] and [tex]5x + 2y = 39[/tex]
Explanation:
I just did the test.
Answer:
C
Step-by-step explanation:
HELP ASAP
Name the property used to make the conclusion:
3. If x + 7 = 23, then x = 16.
7. If x - 24 = 25, then x = 49.
a. addition property of equality
b. subtraction property of equality
c. multiplication property of equality
d. division property of equality
e. symmetric property of equality
f. substitution property of equality
Note: They said 3. is NOT A and 7 is NOT B
Answer:
3. B, 7. AStep-by-step explanation:
3. If x + 7 = 23, then x = 16
You need to subtract 7 from both sides.Correct choice is B7. If x - 24 = 25, then x = 49.
You need to add 24 to both sides.Correct choice is A43.11÷13=
451.613÷7=
213.935÷35=
394.352÷4=
Whit explication please
Step-by-step explanation:
a. 3.31615384615
b.64.5161428571
c. 6.11242857143
d. 98.588
What is the least common denominator of 1/8 and 2/3
Answer:
The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator
Your welcome
Find the area of the square.
Answer:
163.78
Step-by-step explanation: Trust me bro
Answer:
196.2801
Step-by-step explanation:
a triangle adds up to 180 degrees, so if you add 81.66 and 84.33 together, it adds up to 165.99. if you subtract 180 and 165.99, you will get 14.01. Finally, you multiply 14.01 and 14.01 to get 196.2801. Hoped this helped!
2 2/3 divided by 1 3/5?
Answer:
1.67 or 5/3
Hope this helps
Answer:
1 2/3
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
[tex]\frac{8}{3}[/tex] ÷ [tex]\frac{8}{5}[/tex]
Applying the fractions formula for division,
= [tex]\frac{8}{3} x \frac{5}{8}[/tex]
=[tex]\frac{40}{24}[/tex]
Simplifying 40/24, the answer is
1[tex]\frac{2}{3}[/tex]
Hope this helps!!! :)))
Please help haha imm failing math 5(x−2 2/5)=−5.2
Answer:
x= 1.36
Step-by-step explanation:
Answer:
Step-by-step explanation:
5(x−2 2/5) = −5.2
1. We need to use distibutaive property
5×x and 5×-2.4
5x - 12 = -5.2
2. We need to get x alone.
5x - 12 = -5.2
-12 -12
5x = 6.8
3. We need to divide
5x = 6.8
/5 /5
x = 1. 36
check:
5(1.36−2 2/5)=−5.2
6.8 - 12 = 5.2
find the domain, in interval notation.
Judging by the image the function graphed has an asymptote at x = 3 and extends forever to -infinity along the x axis.
so the answer would be - infinity not included (because infinity is a concept not a number) to +3 not included because the function infinitely approaches x = 3. this is (-∞,3) in interval notation.
Please help me solve this please
Answer:
x = 8
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to the exterior angle that's supplementary to the third interior angle:
7x + 6 + 22 = 9x + 12 add like terms
7x + 28 = 9x + 12 export like terms to the same side of the equation
28 - 12 = 9x - 7x
16 = 2x divide both sides by 2
8 = x
