Answer:
80
Step-by-step explanation:
18^2 + 80^2 = 82
324 + 160 = c^2
Answer:
80 cm
Step-by-step explanation:
To solve this problem, you can use the pythagorean theorem which is a^2 + b^2 = c^2. We are given that a = 18, and c as the hypotenuse equals to 82. We can plug these numbers into the theorem:
18^2 + b^2 = 82^2
324 + b^2 = 6724
b^2 = 6400
b = 80 cm
What is the y-intercept of this equation?
5x + 4y = 8
Answer:
2
Step-by-step explanation:
5x + 4y = 8
5*0 + 4y = 8
y = 8/4
y=2
Which expression is equivalent to 1/3b - 7
Answer:
The answer Is 1/3(b-21)
Step-by-step explanation:
Please help me! It isn’t hard im just not sure how to do it .
Answer:
a. Semester 1: 86.8, Semester 2: 87
b. Semester 1: 5.7, Semester 2: 6.3
c. Semester 1 because the standard deviation of the first semester was lower than of the second. This shows that his scores were closer to the mean and therefore he was more consistent.
Step-by-step explanation: Find the mean by taking the sum of the values for each semester and divide that sum by the number of values to find the average. Do this for both semesters. Now, find the absolute value of the difference between the mean and each value of the corresponding data set. Square each if those differences and sum them up. Now divide that sum by the number of data values and take the square root. This number is your standard deviation. You will use the standard deviations to make the comparison for part c. I hope this makes sense and helps!!!!
The population of the world in 1987 was 5 billion and the growth rate was estimated at3 percent per year.the population size (in billions) can be modeled by the formula A = 5(1.03)t where t is the number of years after 1987. Find the projected world population in 1995 . Give your answer in terms of billions of people.
Answer:
6.3 billion people
Step-by-step explanation:
[tex]A=5(1.03)^t[/tex]
The "base year" is 1987 when there were 5 billion people. That year corresponds to t = 0 (t measures years after 1987)
That makes 1995 = 1995 - 1987 = 8, so t = 8.
Evaluate [tex]A=5(1.03)^8 \approx 6.3[/tex]
what is -9.25 as a faction
Answer:
-37 / 4
Step-by-step explanation:
What number do the blocks represent?
Write your answer as a decimal.
Please help me due today
Answer:
x = 88
Step-by-step explanation:
Becuase this is a quadrilateral, the opposite angles total 180 degrees. So, the opposite of x is 92. That would mean that x + 92 = 180. We subtract 92 from both non-variable sides to get the x by itself. 180 - 92 = 88. 92 - 92 = 0. this leaves us with X = 88
hope this helps
The question is in the photo, that answer is not correct. At least I do not know if it is.
Answer:
Step-by-step explanation:
To get the solution lying in the shaded region,
Justify the equation with the given options,
Option (1)
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
For (1, 1),
[tex]\frac{1^2}{16}+\frac{1^2}{4}\leq 1[/tex]
[tex]\frac{1}{16}+\frac{1}{4}\leq 1[/tex]
[tex]\frac{1+4}{16}\leq 1[/tex]
[tex]\frac{5}{16}\leq 1[/tex]
True.
Therefore, point (1, 1) justifies the equation.
Option (2)
For (4, 1),
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
[tex]\frac{4^2}{16}+\frac{1^2}{4}\leq 1[/tex]
[tex]1+\frac{1}{4}\leq 1[/tex]
[tex]1\frac{1}{4}\leq 1[/tex]
False.
Therefore, point (4, 1) doesn't justify the equation.
Option (3)
For (-1, 2),
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
[tex]\frac{(-1)^2}{16}+\frac{(2)^2}{4}\leq 1[/tex]
[tex]\frac{1}{16}+1\leq 1[/tex]
[tex]1\frac{1}{16}\leq 1[/tex]
False.
Therefore, point (-1, 2) doesn't justify the equation.
Option (4)
For (2, -2),
[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]
[tex]\frac{2^2}{16}+\frac{(-2)^2}{4}\leq 1[/tex]
[tex]\frac{1}{4}+1\leq 1[/tex]
[tex]1\frac{1}{4}\leq 1[/tex]
False.
Therefore, point (2, -2) doesn't justify the equation.
Option (1) will be the answer.
i am requesting help on this asap
Which number is an integer?
Answer:
0
Step-by-step explanation:
0 is an integer.
plz mark as brainliest
please help me. f(x) = In(x)^6 find f'(x)
Answer:
f'(x) = 6/x
Step-by-step explanation:
1. Use logarithm rules to move the power to the front so ln(x)^6 becomes 6 ln(x).
2. Differentiate ln(x) which is always 1/x
3. multiply 1/x by the 6
6/x
When is ur last day of school
Step-by-step explanation:
Supposed to be next Thursday but I get off this week since I finished half of my classes already.
Answer:
Next Friday so...May 28th
Step-by-step explanation:
-3x+15y=-30
-4x+5y=5
Answer:
(-5,-3)
Step-by-step explanation:
The answer is (-5,-3)
Pleaseeeeeeeeee helppppp
PLS PLS PLS HELP I WILL MARK BRAINLIEST :)))
Answer:
28.3
Step-by-step explanation:
the formula for area is πr²
where π is 3.14
r is 3
area= 3.14 x 3²
area= 3.14 x 9
area= 28.28 approximately 28.3
Given that A, O & B lie on a straight line segment, evaluate
x
.
Answer:
Step-by-step explanation:
It is the same way:
we know that
if A , O and B lie on a straight line segment
then
∡AOY+∡YOZ+∡ZOB=180°
so
3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°
the answer is
x=36°
please mark me as brainliest
Can anyone please help me
Answer:
-5
-8
49
Step-by-step explanation:
if a circle has a enter of (-5,-8) the first part looks like
(x+5)²+(y+8)²
to find the radius just plug in x=2 and y= -8
(2+5)²+(-8+8)²
7²+0=49
Which equation represents a line which is parallel to the y-axis?
a) x= 1/4y
b) x= -7
c) y= 2
d) y= x
Answer:
b) x = -7
Step-by-step explanation:
x = -7 is a vertical line
vertical lines are parallel to the y axis
9 weeks 2 days = ?
days?
Answer:
9weeks 2days = (9 × 7) + 2 = 63 +2=65 days
Step-by-step explanation:
Answer:
65 days
Step-by-step explanation: 7 days in a week so times that by 9 because its 9 weeks and that is 63 and add 2 more days
Which expressions are equivalent to 4d+6+2d?
Choose all answers that apply.
2(3d+3)
6(d+6)
(3d+3) + (3d+3)
i know number 3 is right
Answer:
(3d+3) + (3d+3)
Step-by-step explanation:
What is the volume of this triangular pyramid?
5 yd
3 yd
3 yd
Answer:
45
Step-by-step explanation:
volume=length x width x height
5x3x3=45
Use OZ with VWXY
What is XY ?
A 30
B. 35
C. 40
D. 50
Answer:
Step-by-step explanation:
Chords having equal measures are equidistant from the center of the circle.
Since, VW = XY
Therefore, ZP = ZR = 15 units
A perpendicular line drawn from the center of a circle to the chord is the bisector of the chord.
VR = WR = 20 units
By applying Pythagoras theorem in ΔZRV,
ZV² = ZR² + VR²
ZV² = (15)² + (20)²
ZV = √(225 + 400)
ZV = √625
ZV = 25 units
Therefore, measure of radius ZV = 25 units.
VW = XY [Given]
Therefore, XY = 2(20)
= 40 units
ASAP PLS HELP!!! Find the value of x
A)127
B)147
C)53
D)None of these answer
E)37
Answer:
should be C
Step-by-step explanation:
They are congruent
In the picture, the angle diagnoly across from the 4th angle is congruent (or equal to) the angle making 5 and that angle congruent.
cheryl wants to buy a bicycle that costs 160$. if she saves 12$ each week, what is the fewest number of weeks she must save in order to buy the bicycle?
please show the answer choices
Answer:
14 weeks.
Step-by-step explanation:
160/12= 13.8
13 weeks earns her $158
14 weeks earns her $160. So the fewest number of weeks she needs is 14.
what is the answer (x + 3)2 – 5 = 0
x= -1/2 is the answer to your question. Mark as brainliest!!!!
Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to
Spend exactly $80. How many miles can he drive?
Answer: 0
Step-by-step explanation:
Answer:
500 miles
Step-by-step explanation:
20 + .12m = 80
.12m = 60
m = 60/.12
m = 500
Researchers at a major car company have found a function that relates gasoline consumption to speed for a particular model of car. In particular, they have determined that the consumption, C, in liters per kilometer, at a given speed, s. is given by a function C = f(s), where s is the car's speed in kilometers per hour.
Required:
a. What are the units on f'(s)?
b. Data provided by the car company tells us that f(80) = 0.015, f(90) = 0.02, and f(100) = 0.027. Use this information to estimate the instantaneous rate of change of fuel consumption with respect to speed at s = 90
Answer:
(a) The units of f'(s) is kilometer per liter
(b) [tex]\triangle = 2.22 * 10^{-4}[/tex]
Step-by-step explanation:
Given
[tex]C = f(s)[/tex]
[tex]f(80) = 0.015, f(90) = 0.02, f(100) = 0.027[/tex]
Solving (a): Unit of f'(s)
From the question, we understand that:
[tex]C = f(s)[/tex]
and
[tex]C = Litre/km[/tex] --- units
f'(s) is the inverse of C.
Hence:
i.e.
[tex]f'(s) = C^{-1}[/tex] --- units
So, we have:
[tex]f'(s) = (Litre/km)^{-1}[/tex]
[tex]f'(s) = Km/Litre[/tex]
Solving (b): Instantaneous rate of change at:
[tex]s = 90[/tex]
We have:
[tex]C = f(s)[/tex]
The change is calculated as:
[tex]\triangle = \frac{f(s)}{s}[/tex]
Substitute 90 for s
[tex]\triangle = \frac{f(90)}{90}[/tex]
Given that: [tex]f(90) = 0.02[/tex]
[tex]\triangle = \frac{0.02}{90}[/tex]
[tex]\triangle = 0.000222[/tex]
[tex]\triangle = 2.22 * 10^{-4}[/tex]
Solve for x. Show your work.
OLEASE HELP
Which number produces a rational number when added to 1/2
A. 5.38516480...
Β. π
c. √ 10
D. 0.22
Answer:
i donot know appp lado app
A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters. What is the rabbit's average rate of change? A. 1/2 B. 2 C. 5 D. 20
Answer:
Average Rate of change = 2
Step-by-step explanation:
Given - A rabbit hops 8 meters in one second. After 7 seconds, the rabbit has hopped 20 meters.
To find - What is the rabbit's average rate of change?
Formula used -
Average rate of change of a function f(x) in an interval [a, b] is [tex]\frac{f(b) - f(a)}{b - a}[/tex]
Proof -
Given that,
In 1 second - Rabbit hoops 8 meters
In 7 seconds - Rabbit hoops 20 meters
So,
Average Rate of change = [tex]\frac{20 - 8}{7 - 1}[/tex]
= [tex]\frac{12}{6}[/tex]
= 2
⇒Average Rate of change = 2