find the value of x
−9(10+x)=−243
Answer:
x = 17
I think this is the value for x
The length of a rectangle is 2/3 units. The width is 5/6 units. What is the area of the rectangle?
Answer: The length is 0
Step-by-step explanation:
Answer: 5/9
Decimal form: 0.555.......
Step-by-step explanation:
Area = length • width
Is someone’s opinion a statistical question???? Pls help
Answer:
NO
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.
Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h ( t ) = − 16 t 2 + 16 t + 480 h(t)=−16t 2 +16t+480, where t is the time in seconds and h is the height in feet. What is the maximum height that Jason reaches?
Answer:
484feet
Step-by-step explanation:
If the height as a function of time could be modeled by the function h(t)=−16t^2 +16t+480, where t is the time in seconds and h is the height in feet.
The maximum height of Jason occurs when dh/dt = 0 (velocity is zero)
dh/dt = -32t + 16
0 = -32t + 16
32t = 16
t = 16/32
t = 1/2
t = 0.5secs
Get the maximum height
Recall that h(t)=−16t^2 +16t+480
Substitute t = 0.5
h(0.5)=−16(0.5)^2 +16(0.5)+480
h(0.5) = -4 + 8 + 480
h(0.5) = 4 + 480
h(0.5) = 484
Hence the maximum height reached by Jason is 484feet
The maximum height that Jason reaches is h = 484 feet and it will be reached at t = 0.5 sec.
How to find the maximum of a polynomial function?Let the function be denoted by [tex]y = f(x)[/tex]
If it is twice differentiable, then, firstly, we differentiate it with respect to x and equate with 0 to find the critical values.
Let the obtained critical values be [tex]x_1, x_2, ... x_n[/tex]
The second derivative of that function is then evaluated on those critical values.
The [tex]i^{th}[/tex] critical value has got the maximum if [tex]f''(x_i) < 0[/tex]
That means, if at [tex]x = x_i[/tex] , we get
[tex]f'(x-i) = 0\\and\\f''(x_i) < 0[/tex]
Then that point is where function will have maximum.
If [tex]f''(x_i) > 0[/tex], then the point where the function will have minimum
If value of second rate at point [tex]x_i[/tex] is 0, then we go for third rate of function and check the same facts so on for upper rate(if they exist).
For the given case, we're given the height function as:
[tex]h(t) = - 16t^2 + 16t + 480[/tex]
The function is infinitely differentiable as its polynomial(by a theorem).
Its first and second rate with respect to 't', we get;
[tex]h(t) = - 16t^2 + 16t + 480\\h'(t) = -32t + 16\\h''(t) = -32 < 0[/tex]
Thus, all critical points will be maximum points.
The critical points are evaluated by [tex]h'(t) = 0[/tex]
They are calculated as:
[tex]h'(t) = 0\\-32t + 16 = 0\\t = 0.5 \: \rm sec[/tex]
The height at t = 0.5 s is evaluated as:
[tex]h(0.5) = - 16(0.5)^2 + 16(0.5) + 480 = 484 \: \rm feet[/tex]
Thus, at time 0.5, the height function will be at its maximum value(484 feet). That means, the height of Jason will be maximum when time will be 0.5 seconds from initial time.
Learn more about maximum and minimum values here:
https://brainly.com/question/13333267
Martin recorded the low temperatures at his house for one week. The temperatures are shown below -7, -3, four, one, -2, -8, seven approximately what was the average low temperature for the week?
an astronaut drops a rock off the edge of a cliff on the moon. the distance, d(t), in meters, the rock travels after t seconds can be modeled by the function d(t) = 0.8t^2. what is the average speed, in meters per second, of the rock between 5 & 10 seconds after it was dropped?
Answer:
The average speed between the times given is 12 m/s
Step-by-step explanation:
Here, we want to calculate rate of change between the times given
Mathematically , we can get the average rate of change using the formula
f(b)-f(a)/b-a
in this case, b = 10 s and a = 5 s
f(b) is d(10) = 0.8(10)^2 = 80
f(a) is d(5) = 0.8(5)^2 = 20
Rate of change is thus;
(80-20)/(10-5) = 60/5 = 12 m/s
The ratio of lime juice to soy sauce in a salad dressing is 5:4. The total of bath ingredients is 27 tablespoons. How many tablespoons of each ingredient are used?
Answer:
There would be 15 tablespoons of lime juice and 12 tablespoons of soy sauce.
Marco's family is renting a cabin by the lake. The cost is $40 per day plus a one-time cleaning fee of $60. How many whole days can the family stay, if they have budgeted a maximum of $275 for the cabin? What is the variable for this situation?
Answer:
Step-by-step explanation:
Cost per day = 40
Cleaning fee = 60
Budget = 275
Total cost for one day = 100
The family can stay two whole days
NEED HELP ASAP
NEED TO FIND THE MEAN
Answer:
mean=2.6
Step-by-step explanation:
1+3+4+4+1=13
13 divided by 5=2.6
Answer:mean= 2.6=13/5
Step-by-step explanation:
mean=sum of all values/number of values
so,
mean=(1+3+4+4+1)/5
mean=13/5=2.6
Determine the value of y for y=x-2
Answer:
y=7, -3, 3, -9, 1 (in the empty boxes from left to right)
Step-by-step explanation:
Since y=x-2, all you have to do is take an x value from the top box and subtract 2 from that number to find the value of y.
Give the diagram below find the value of x HELP PLEASEEEEEE IM BAD AT MATH
Answer:
44
Step-by-step explanation:
sum of two interior angle is equal to the exterior angle
: . 14 +30 = 44
Kyra is finding the area of the circle. She cuts the circle into equal sectors and arranges them into the shape of a parallelogram. A circle is cut into 8 equal sections. The sections are arranged into the shape of a parallelogram with a base of 9.42 inches and height of 3 inches. Which expression represents the approximate area of the circle in square inches? 9.42 times 3 9.42 times 3 squared 9.42 times 6 9.42 times 6 squared]
Answer:
The expression that represents the approximate area of the circle in square inches is;
9.42 times 3
Step-by-step explanation:
From the question, we have;
The shape of the figure which Kyra is finding the area for = A circle;
The number of equal pieces Kyra cuts the shape into = 8 equal sectors
The shape the sectors are arranged into = A parallelogram
The base of the parallelogram = 9.42 inches
The height of the parallelogram = 3 inches
Therefore, the area of the approximate parallelogram formed ≈ The area of the circle
The area of a parallelogram = The base × The height
∴ The area of the approximate parallelogram formed = 9.42 × 3 ≈ The area of the circle
The approximate area of the circle = 9.42 × 3 square inches.
Answer:
B
Step-by-step explanation:
Just to simplify the top answer :)
Lucy purchase a swimsuit and a towel. The towel represent 30% of the total cost. If she spent $15.00 on the towel, then what was her purchase total
Answer:
$50
Step-by-step explanation:
Given data
Let the total purchase be x
Hence 30% of x is $15
Let us find the value of x
30/100*x= 15
0.3*x=15
0.3x=15
x= 15/0.3
x= $50
Hence the purchase is $50
Answer:
$50 is the total
Step-by-step explanation:
30% over 100% = 15 over x
then you cross multiply and get:
30x = 1500
you then divide both sides by 30
30 and 30 cross out
1500 ÷ 30 = $50
what is the number of distinguishable permutations of the letters in the word, POTATO
Answer:
720
Step-by-step explanation:
Potato has 6 letters
6!/2!×2!
6×5×4×3×2/2×2
(TUTORS HELP ME I BEG YOU!! ILL GIVE BRAINLY AND ITS A MULTIPLE CHOICE, I WILL ALSO SEND PICS PLSSS)
Answer:
2)
Step-by-step explanation:
plug in a random number for x i used 2. So y=2^x+14x-3 which equals 29 and 1)=253 2)=29 3)=207 4)=35
A hiker begins at 2,000 feet above sea level and takes a break at 1,600feet above sea level. What is the hiker change in elevation?
Simplify the expression
(3x4 + 9x3 – 7x + 15) + (-6X4 – 8x2 + 5x – 3)
Answer:
If the numbers next to the "x" are "carroted" ( ^ ) then the answer is
-3x^4 + 9x^3 -8x^2 -2x +12
Step-by-step explanation:
Basically, you just add the like terms together.
hehehdhdhdhdhdhshshshhs
bghvfdddddcvbnmjkliuytrftfgvvvvv nbv nbv hjgfdc
Step-by-step explanation:
hgfdcvbnmkloiuytredfxghgcfxchgjnjngjggjjjjjttttttttttttttttrrrrrtkkkkkkkkkkddddddddddddddddddddddddddddddddddujhhhhhhhhgfnmmmmmmmmmhhurtghbfnvbmgjkuttdggggggggggggggggggggggggggggggggggggggggggggggggggggf
In a bag, there are 16 marbles: 4 green, 2 yellow, 9 orange, and 1 blue. What is the probability of randomly choosing a green marble?
Answer: 4/16 or 1/4 (simplified)
Answer:
1/4
Step-by-step explanation:
put # of green over total # of marbles in bag
4/16 and simplify by dividing both by 4
1/4
which of the following lengths cannot be the lengths of a triangle? 4,6,9 a.) 3,4,2 b.) 2,2,3 c.) 1,1,2 d.)
Answer:
D. 1, 1, 2
Step-by-step explanation:
A triangles sides have to have the two smallest side's sum add up to be greater than the largest number. In D, 1+1 = 2, and 2 is the largest number, since 2 is not greater than 2, It cannot be a triangle.
The Garcia family drives 3/4 of the distance to their. grandparents house in 3/4 hour. How many hours will it take to drive to their grandparents house at the same rate? A-9/16 B-1. C- 1 7/9
Answer:
B
Step-by-step explanation:
Which statement about the quadratic equation below is true?
2x2 - 15x + 18 = 0
Answer:
x=3/2 or x=6
Step-by-step explanation:
2x2−15x+18=0
Step 1: Factor left side of equation.
2x^2-12x-3x+18=0
taking common factors
2x(x-6)-3(x-6)=0
(2x−3)(x−6)=0
Step 2: Set factors equal to 0.
2x−3=0 or x−6=0
x=3/2 or x=6
Ileana buys a large circular pizza that is divided into eight equal slices. She measures along the outer edge of the crust from one piece and finds it to be 512 inches. What is the diameter of the pizza to the nearest inch? A.4 in. B.7 in. C.8 in. D.14 in.
Answer:
14 inches
Step-by-step explanation:
She measures along the outer edge of the crust from one piece and finds it to be 5.5 inches.
We need to find the diameter of the pizza. A pizza is divided into 8 equal parts.
The circumference of one part = [tex]\dfrac{2\pi r}{8}=\dfrac{\pi r}{4}[/tex]
So,
[tex]\dfrac{\pi r}{4}=5.5\\\\2r=D=14\ inch[/tex]
So, the diameter of the pizza is 14 inches.
Help solve this I’m not sure if my answer was right. Pythagorean theorem.
Answer:
C. since 8, 15, 17 are pythagorean triples
Eric's cell phone service costs $40.00 a month for unlimited calls. He also pays $0.02 for each text message he sends Which equation represents the total costin dollars, for a month when Eric sends text messages?
Answer:
the answer is d
Please someone help me
2x^2 + 14x + 12 = 0
x^2 + 7x + 6 = 0
( x + 1 )( x + 6 ) = 0 ==》 x = - 1 Or x = - 6
please help with this one. i will give brainliest
70.. not pretty sure tho
Answer:
B: 170
Step-by-step explanation:
Anyone know how to answer this mathematics question?
Answer:
B: (-2,-8)
Step-by-step explanation:
(-2,-8) works because (-2-5)^2 + (-8+11)^2 = 49 + 9 = 58
Graph this function: Y = x + 11 (you can just tell me the coordinates)
solve for x. does anyone know how to do these so i could do them myself