Answer:
The rate at which the distance between the two cars is increasing is 30 mi/h
Step-by-step explanation:
Given;
speed of the first car, v₁ = 24 mi/h
speed of the second car, v₂ = 18 mi/h
Two hours later, the position of the cars is calculated as;
position of the first car, d₁ = 24 mi/h x 2 h = 48 mi
position of the second car, d₂ = 18 mi/h x 2 h = 36 mi
The displacement of the two car is calculated as;
displacement, d² = 48² + 36²
d² = 3600
d = √3600
d = 60 mi
The rate at which this displacement is changing = (60 mi) / (2h)
= 30 mi/h
A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up heads
105/2^9
Step-by-step explanation:
The probability of getting a head in a single toss
p=12
The probability of not getting a head in a single toss
q=1−12=12
Now, using Binomial theorem of probability,
The probability of getting exactly r=4 heads in total n=10 tosses
=10C4(1/2)4(1/2)10−4
=10×9×8×7/4! 1/2^4 1/2^6
=2^44⋅9⋅35/24(2^10)
=105/2^9
Answer:
P = 0.205 (20.5%)
Step-by-step explanation:
[tex]f(x)=(10nCr4)(.5)^{4} (.5)^{6} =(210)(0.0625)(0.015625)=0.205[/tex]
Hope this helps
In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life. Using the vase for a scale factor, how tall was the table? PLEASE ACTUALLY ANSWER AND DON'T JUST PUT I DON'T KNOW OKAY?
Answer:
5.67
Step-by-step explanation:
The scale factor of the height of the image is 7.89.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. The scale factor is the ratio of the actual size to the scaled size of the object.
Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
Given that In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life.
The scale factor will be calculated as,
Scale factor = ( 30 / 3.8)
Scale factor = 7.89
To know more about scale factors follow
https://brainly.com/question/25722260
#SPJ2
The inequality is -2x > 30. What is the solution of the inequality?
Answer:
x < -15
Step-by-step explanation:
Divide both sides by -2.
Next you will reverse the sign because you are dividing by a negative number.
help please thank you
Answer:
the second choice :)
Step-by-step explanation:
you can convert both denominators to 20 to enable you to add the two fractions, 4/5 times 4 is 16/20 and 2/4 times 5 is 10/20. 16/20+10/20=26/20
hope this helps!
Pls help I’ll failing ASAP this is due in 10 minutes I need help with 5 and 8
Answer:
5) 3/5
8) 2/-4 or -2/4
Step-by-step explanation:
5, based on your work, is 3/5 because we use rise (3) and run (5)
And 8, based on your work, is 2/-4 or -2/4 because you go up 2, and go to the left 4.
please help!!!!
check for understanding:
HELP ME OUT PLEASE
Which symbol makes the sentence true?
Answer:
A
Step-by-step explanation:
The square root of 50 is less than the square root of 78.
Good morning! May somebody help me as soon as possible? Like ASAP ASAP possible
Answer:
i hope you'll understand
Step-by-step explanation:
[tex] - x - 2y = 5 \\ 3x + 2y = 9 \\ - x - 2y - 5 = 3x + 2y - 9 \\ - 4x - 4y - 4 = 0( \div by \: - 1) \\solution 4x + 4y = 4[/tex]
help me pleas, I need the energy.
Answer:
negative
Step-by-step explanation:
Answer:
negative
Step-by-step explanation:
as it goes further right, it goes further down, so it is a negative slope
At Pizza Pi, 68% of the pizzas made last week had extra cheese. If 17 pizzas had extra cheese, how many pizzas in all were made last week?
Answer: 50
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
What is nx25=5x60 and how did you get the answer?
Hey there!
n * 25 = 5 * 60
25n = 5 * 60
25n = 300
DIVIDE 25 to BOTH SIDES
25n/25 = 300/25
CANCEL out: 25/25 because it gives you 1
KEEP: 300/25 because it helps solve for the n-value
NEW EQUATION: n = 300/25
SIMPLIFY IT!
n = 12
Therefore, your answer is: n = 12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A fabric store sells close-out fabrics for $2.14 a yard. A customer buys 8 yards of fabric. How much does the customer pay for the fabric? Show your work.
Answer:
$17.12
Step-by-step explanation:
2.14 · 8 = 17.12
PLEASE HURRY! WILL MARK BRAINLIEST IF CORRECT (Screenshot)
Most plumbing companies charge a fee to come to your house plus a charge per hour of work. The fees and charges for two plumbing companies are shown.
Company A Fee: $50 Charge per hour: $40 Company B Fee: $25 Charge per hour: $50
Write an equation for each company, where c = total cost (in dollars) and h = number of hours. Explain what the initial values and rates of change mean in this context.
Company A: Company B:
Answer:
Company A: [tex]y=40x+50[/tex]
Company B: [tex]y=50x+25[/tex]
Step-by-step explanation:
The initial fee is the y-intercept, as that is the cost at x = 0, or the cost before any time has passed. Afterwards, the rate the cost increases is the slope.
Linear equation in slope-intercept form:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Company A charges $50 up front and $40 per hour afterwards, so the equation would be:
[tex]y=40x+50[/tex]
Company B charges $25 up front and $50 per hour, so:
[tex]y=50x+25[/tex]
What is the constant in the expression below?
-6a2 + 4a - 3
A) -6
B) 2
C)4
D) -3
A cart is slowing down at a rate of 2t + 60 centimeters per second per
second (where t is the time in seconds).
By how many centimeters per second does does the cart slow
down between seconds 5 and 15?
The cart slows that at the rate of 20cm/s between 5 and 15secs
Given the rate function expressed as:
r(t) = 2t + 60
If the time is t = 5
r(5) = 2(5) + 60
r(5) = 70cm/s
If the time is t = 15
r(15) = 2(15) + 60
r(15) = 90cm/s
Taking the difference in rate;
Difference = 90cm.s - 70cm/s
Difference = 20cm/s
Hence the cart slows that at the rate of 20cm/s between 5 and 15secs
Learn more on rate of functions here:
https://brainly.com/question/13516577
Rewrite the expression without parentheses.
13m−(−9m−4)
Answer:
22m+4
Step-by-step explanation:
Let's break it down:
13m+-1(-9m-4)
13m+(9m+4)
22m+4
Answer:
22m+4
Step-by-step explanation:
Brainliest for right answer.
Answer:
441 millimeters of compound B
Step-by-step explanation:
4 + 7 = 11
693/11 = 63
7 · 63 = 441
Solve the equation for d. 0.2(d-6)=0.3d+5-3+0.1d
Answer:
Step-by-step explanation:
0.2(d - 6) = 0.3d + 5 - 3 + 0.1d
0.2d - 1.2 = 0.4d + 2
- 0.2d = 3.2
d = - 16
Answer:
d = -16
Step-by-step explanation:
[tex]0.2(d-6)=0.3d+5-3+0.1d\\\rule{150}{0.5}\\0.2d - 1.2 = 0.3d+5-3+0.1d\\\\0.2d - 1.2 = 0.3d+0.1d+ 5-3\\\\0.2d - 1.2=0.4d + 2\\\\0.2d- 0.2d - 1.2 = 0.4d -0.2d + 2\\\\-1.2 = 0.2d + 2\\\\-1.2 -2 = 0.2d + 2 - 2\\\\-3.2 = 0.2d\\\\\frac{-3.2 = 0.2d}{0.2}\\\\-16 = d\\\\\boxed{d = -16}[/tex]
evaluate 4/5 * for * =7
Answer:
16/5=7
Step-by-step explanation:
What is the value of 25
Answer:
5 po its my volt
Step-by-step explanation:
yan hooo
Evaluate. 5.8 – 3.63 = ________
Evaluate the integral:
Substitute x = √7 sin(t) and dx = √7 cos(t) dt. Then
∫ √(7 - x²) dx = ∫ √(7 - (√7 sin(t))²) • √7 cos(t) dt
… = √7 ∫ √(7 - 7 sin²(t)) cos(t) dt
… = 7 ∫ √(1 - sin²(t)) cos(t) dt
… = 7 ∫ √(cos²(t)) cos(t) dt
We require that -π/2 ≤ t ≤ π/2 in order for the substitution we made to be reversible. Over this domain, cos(t) ≥ 0, so
√(cos²(t)) = |cos(t)| = cos(t)
and the integral reduces to
… = 7 ∫ cos²(t) dt
Recall the half-angle identity for cosine:
cos²(t) = (1 + cos(2t))/2
Then the integral is
… = 7/2 ∫ (1 + cos(2t)) dt
… = 7/2 (t + 1/2 sin(2t)) + C
… = 7t/2 + 7/4 sin(2t) + C
Get the antiderivative back in terms of x. Recall the double angle identity for sine:
sin(2t) = 2 sin(t) cos(t)
We have t = arcsin(x/√7), which gives
sin(t) = sin(arcsin(x/√7)) = x/√7
cos(t) = cos(arcsin(x/√7)) = √(7 - x²)/√7
Then
∫ √(7 - x²) dx = 7/2 arcsin(x/√7) + 7/4 • 2 sin(arcsin(x/√7)) cos(arcsin(x/√7)) + C
… = 7/2 arcsin(x/√7) + x/2 √(7 - x²) + C
From 175 yards away, a marksman hit 14/50 of the targets last year.
An artist paints a mural containing different-sized triangles. The area of each triangle is
given by the function A(x) = 1/2x(x – 3), where x represents the base length of the
triangle, in inches.
What is the area of a triangle with a base length of 16 inches, represented by A(16), in
square inches?
Answer:
104
Step-by-step explanation:
A(16)=1/2(16)(16-3)
A=8(13)
Area is 104 inches squared
How to get to the answer
Answer:
isnt the answer just below the question?
Help help help math math math math
Answer:
x = 15
Explanation:
First, add both equations on one side, and set it equal to 180° because it's supplementary:
2x + 8 + 8x + 22 = 180
combine like terms:
10x + 30 = 180
subtract 30 on both sides of the equation and you end up with:
10x = 150
divide both sides by 10 and you get:
x = 15
Answer:
x=5
Step-by-step explanation:
Examine the system of equations.
y = –3x – 2,
y = 7
The value of x is ______.
The solution to this system of equations is _______.
Answer:
[tex]\boxed{\boxed{\sf x=-3}}[/tex]
Step-by-step explanation:
[tex]\sf y = -3x - 2[/tex]
[tex]\sf y=7[/tex]
We'll substitute y into the equation:
[tex]\sf 7 = -3x - 2[/tex]
Switch sides:
[tex]\sf -3x-2=7[/tex]
Add 2 to both sides
[tex]\sf -3x-2+2=7+2[/tex]
[tex]\sf -3x=9[/tex]
Divide both sides by -3:
[tex]\sf \cfrac{-3x}{-3}=\cfrac{9}{-3}[/tex]
[tex]\sf x=-3[/tex]
Therefore, the value of x/solution is -3
________________________________________
Answer:
The value of x is
✔ –3
The solution to this system of equations is
✔ (–3, 7)
Step-by-step explanation:
Paula's Pies is famous
for their apple pie. At
Thanksgiving, they receive
orders for 296 pies. If
Paula can prepare 8 pies
in 3 hours, then how many
hours will it take her
prepare the order?
(PLEASE MAKE THE WORK A RATIO TABLE!)
Sets of 8pies
296/8=37No if time for 8pies=3h
No of time for 37 sets of 8pies:-
3(37)=111hPHOTO ATTACHED PLEASEEEE HELPPPP!!!!!!!!!!
Answer:
15x^2-3x-1
Step-by-step explanation:
All we have to do is collect like terms and calculate! Hope this helps!
