Answer:
x< -3
Step-by-step explanation:
- 4x + 6 > 18
Subtract 6 from each side
- 4x + 6-6 > 18-6
- 4x > 12
Divide by -4, remembering to flip the inequality
-4x/-4 < 12/-4
x < -3
The area of a circle is 43.25cm2.
Find the length of the radius rounded to 2 DP.
Answer:
3.71 cm
Step-by-step explanation:
Hi there!
Area of a circle equation: [tex]A=\pi r^2[/tex] where r is the radius
Plug in the area 43.25 cm²
[tex]43.25=\pi r^2[/tex]
Divide both sides by π to isolate r²
[tex]\frac{43.25}{\pi} =\frac{\pi r^2}{\pi} \\\frac{43.25}{\pi}=r^2[/tex]
Take the square root of both sides to isolate r
[tex]\sqrt{\frac{43.25}{\pi}} =r\\3.71=r[/tex]
Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.
I hope this helps!
Solve the equation
(0)
36
(6)
O A * = 8
O B x=7
0 CX=512
0 D
3
Answer
A.x=8
1/3x-2/3x=2
x-2=6
x=6x2
x=8
Which expression can be used to calculate 15 1/2% of 3500?
Answer: 54250
Step-by-step explanation:
Given 15 1/2% of 3500 to find solve solution 31/2 x 3500 = 54250
>>RIGHT ANSWERS ONLY
A company car that has a seating capacity of six is to be used by six employees who have formed a car pool. If only four of these employees can drive, how many possible seating arrangements are there for the group?
Answer:
4
Step-by-step explanation:
3*5*4*3*2*1
3x-x+2=4
Put the following equation of a line into slope-intercept form, simplifying all fractions.
9x+12y=-84
Answer:
y = (-3/4)x + 7
Step-by-step explanation:
Answer:
y = -3/4x - 7
Step-by-step explanation:
Slope Intercept form: y=mx + b where m = slope and b = intercept.
Isolate y.
9x + 12y = -84
-9x -9x (subtract 9x from both sides)
12y = -9x - 84
(divide by 12)
y = -9/12x - 7
(simplify fraction)
y = -3/4x - 7
1⁄2 × 1⁄5 = ....whats this answer
Answer:
0.1
Step-by-step explanation:
Answer:
√2 = 1.41
√5 = 2.23
SO IF YOU MULTIPLY SEE
3.1622776601683793319988935444327
Step-by-step explanation:
4 lb. 8 oz. − 1 lb. 2 oz. =
Answer:
3 lb. 6 oz.
Step-by-step explanation:
4 - 1 = 3
8 - 2 = 6
3lb. 6oz.
What statement could be used to prove that m // n?
HELP
Answer:
4 th option
Step-by-step explanation:
∠ 2 and ∠ 7 are congruent since they are Alternate exterior angles
PLEASE HELP WITH THIS QUESTION
Answer:
3/5
Step-by-step explanation:
There are 12 window seats and 8 aisle seats giving us a total of 20 seats.
12/20 = 3/5
Therefore, the probably the next person will be assigned a window seat is 3/5.
im so bad at this. i really need help
Answer:
[D] [tex]\displaystyle \lim_{h \to 0} \frac{[5(x + h)^2 - 2(x + h)] - (5x^2 - 2x)}{h}[/tex]
General Formulas and Concepts:
Calculus
Limits
Derivatives
Definition of a Derivative: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle f(x) = 5x^2 - 2x[/tex]
Step 2: Differentiate
Substitute in function [Definition of a Derivative]: [tex]\displaystyle f'(x)= \lim_{h \to 0} \frac{[5(x + h)^2 - 2(x + h)] - (5x^2 - 2x)}{h}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
expanded notation for 209.36
Answer:
2.0936 * [tex]10^{2}[/tex]
Hope that this helps!
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 2 meters?
Answer:
79 inches
Step-by-step explanation:
2 m * 100cm/m * 1 in/2.54cm = 78.7401574803 in
rounded
79 inches
PLZZ HELPS
plz try...
At a track and field event, a thrower releases the hammer using one full rotation that takes 2.5 seconds. What is the angular velocity in units of radians per second?
Enter your answer as a value rounded to the nearest hundredth, like this: 0.35
Answer:
[tex]2.51\:\mathrm{rad/s}[/tex]
Step-by-step explanation:
Angular speed is given by [tex]\omega=\frac{\Delta \theta}{\Delta t}[/tex], where [tex]\Delta \theta[/tex] is angle change in radians and [tex]\Delta t[/tex] is elapsed time.
Since the hammer makes one full rotation in 2.5 seconds, it is travelling 360 degrees or [tex]2\pi[/tex] radians every 2.5 seconds.
Thus, we have:
[tex]\omega=\frac{2\pi}{2.5}\approx \boxed{2.51\:\mathrm{rad/s}}[/tex]
A sector of a circle has a central angle measuring 80 degrees. If the area
of the sector is 32 1 m2 what is the radius of the circle in meters?
Answer:
675in
Step-by-step explanation:
not it
Della bought a tree seedling that was 2 1/4 feet tall. During the first year, it grew 1 1/6 feet. After two years, it was 5 feet tall. How much did the seedling grow during the second year? plzz helpp asap
Answer:
1 7/12
Step-by-step explanation:
2 1/4 + 1 1/6 = 3 5/12 because 2 1/4 = 27/12 and 7/6 = 14/12
27/12 + 14/12 = 41/12 = 3 5/12
x + 3 5/12 = 5
x = 5 - 3 5/12; you can make 5 into 4 12/12
x = 1 7/12
3) In another game, there are 10 marbles in a box. 6 are red and 4 are blue. You
pull one marble from the box, don't put it back, and then pull another marble.
Calculate the following probabilities:
a) Pulling two reds.
b) Pulling two blues.
c) Pulling one of each.
Part (A)
We have 6 red and 4 blue marbles, so 6+4 = 10 total.
The probability of getting red is 6/10 since we have 6 red out of 10 total.
The probability of getting another red is 5/9 because we don't put the first marble back.
The probability of getting two reds in a row is (6/10)*(5/9) = 30/90 = 1/3
Answer: 1/3========================================================
Part (B)
4/10 represents the probability of getting blue on the first try
3/9 represents the probability of getting a blue marble on the second try
We don't put the marble back.
(4/10)*(3/9) = 12/90 = 4/30 is the probability of getting two blues in a row.
Answer: 4/30========================================================
Part (C)
Add up the results of parts (A) and (B)
1/3 + 4/30
10/30 + 4/30
(10+4)/30
14/30
7/15
The result 7/15 is the probability of either getting two reds OR getting two blues (pick one case only). This tells us that 7 out of 15 times we'll have this happen. This must mean the remaining 8 times will have two marbles of different colors.
So 8/15 is the probability of picking one marble of each color.
------
As an alternative, we could also consider it like this
(6/10)*(4/9) = 24/90 = 4/15
This represents the probability of picking red first, then blue next.
Similarly,
(4/10)*(6/9) = 24/90 = 4/15
represents the probability of picking blue first, then red next.
Therefore, 4/15+4/15 = 8/15 is the probability of getting one of each color.
-----
Answer: 8/15The table shows the time a patient spends at the dentist and the amount of the bill.
A 2-column table with 4 rows. The first column is labeled time spent at the dentist (in hours) with entries 1.4, 2.7, 0.75, 1.6. The second column is labeled bill amount (in dollars) with entries 235, 867, 156, 215.
What is the correlation coefficient for the data in the table?
–0.93
–0.27
0.27
0.93
Answer:
Correlation coefficient for the data in the table was found to be 0.93
Step-by-step explanation:
The correlation coefficient for the data in the table is 0.93.
What is the correlation coefficient?The correlation coefficient is used to measure the relationship that exists between two or more variables. If two variables have a positive correlation, as one of the variable increases, the other variable increases. If one of the variable decreases, the other variable decreases.
When calculated on a financial calculator, the correlation coefficient is 0.93.
To learn more about correlation, please check: https://brainly.com/question/27246345
#SPJ2
A line a slope of 4 and
includes the points (-5,7) and
(w-9). What is the value of
w?
Answer:
The value of w is -9.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-9-7)/(w-(-5))
m=-16/(w+5)
-16/(w+5)=4
w+5=-16/4
w+5=-4
w=-4-5
w=-9
Livia eats a chicken drumstick with 11 grams of protein.
She also eats x cheese sticks, each with 7 grams of
protein. The table shows y, the total number of grams of
protein that Livia will consume if she eats x cheese
sticks. Livia may eat only part of a cheese stick, sox
may not always be a whole number.
Answer:
11
Step-by-step explanation:
Drum stick = 11 grams of protein.
Cheese sticks (x) = 7grams.
Let Y represents the range of function.
y = 11 + 7x
Let the domain is x > = 0
range is y > = 11
Ms. Jones has downloaded some songs. She then downloads 18 more songs. She now has a total of 120 songs.
Create an equation to represent the total number of songs Ms. Jones has downloaded. Let s represent the number of songs Ms. Jones had before she downloaded 18 more songs. Enter your equation in the first response box.
Enter the number of songs represented by s in the situation. Separate your equation from your number with a comma.
need help
Answer:
s+18=120
s=102
Step-by-step explanation:
Basically, she had 120 after everything was done, so we know 120 is on the right side of the equal sign. We know she had an unknown number of songs and after she added 18 it was 120. That means the equation is s+18=120
Now to solve it is simple, just isolate s by subtracting 18 on both sides.
s+18=120
-18 -18
s=102
Answer:
This one is the method ^|^Second one is the answer^_^The path of a breaching ocra whale can be modeled by the function k(x) = x^2 - 2x - 8, where x is the time elapsed in seconds under water, and k(x) is the height in ft below the water.
Determine HOW LONG is the ocra (killer) whale underwater to the nearest second. MUST BE SOLVED ALGEBRAICALLY!
Answer:
The time duration of the ocra whale spends under water is 4 seconds
Step-by-step explanation:
The equation that model the path of the ocra whale is presented as follows;
k(x) = x² - 2·x - 8
Where;
x = The time elapsed in seconds under water
k(x) = The height in feet below water
Therefore, the point where the ocra whale enters the water, k(x) = 0
At the point of submerging below the water surface, we have;
k(x) = 0 = x² - 2·x - 8
Factorizing the quadratic equation gives;
0 = x² - 2·x - 8 = (x - 4)·(x + 2)
Therefore, when k(x) = 0, either;
(x - 4) = 0, which gives, x = 4
(x + 2) = 0, which gives, x = -2
Given that 'x' represent the time, the time elapsed while the whale is under water, x = 4 seconds
Two different cross sections are taken parallel to the base of a three-dimensional figure. The two cross sections are the same shape, but are not congruent.
Which could be the three-dimensional figure? Select three options.
cone
cylinder
triangular prism
triangular pyramid
square pyramid
A. cone
D. triangular pyramid
E. square pyramid
(Look at the photo at the bottom.)
Step-by-step explanation:First, know what a cross section is. A cross section is the exposed shape or surface when a straight cut is made through a 3D figure. For example, if I make a cross section, or cut, through a sphere, the cross section will be a circle. The newly exposed surface is in the shape of a circle.
We want to know which 3D figures can make 2 different cross sections, parallel to the base, that are congruent. Congruent means same shape but different size. Parallel to the base means the cut is completely horizontal.
A cone is one, because no matter where you horizontally cut this, the cross section will always be a circle, but different sizes.A triangular pyramid is another, because no matter where you horizontally cut this, the cross section will always be a triangle, but different sizes.A square pyramid is another, because no matter where you horizontally cut this, the cross section will always be a square, but different sizes.Here's a photo of Edge incase you're doubtful.
Answer: A, D, E
Step-by-step explanation:
Find missing angleeeeeeeeeeeeeeeeeeeeeeee
Answer:
C) 80
Step-by-step explanation:
triangles always add up to 180 degrees, so 80+20=100 the missing angle is 80 degrees
Find the mirror images of the following point using x-axis and y-axis as mirror
A(2,3)
Answer:
Step-by-step explanation:
x-axis:(2,-3)
y-axis:(-2,3)
1. 3.5 cm
2. 7 cm
3.21.98
4.38 cm
Answer:
3. 21.98
Step-by-step explanation:
What is the measure of angle 8?
Answer:
C. 107°
Step-by-step explanation:
Angles 4 and 8 measures the same since they're congruent.
A straight line measures 180°
180° - 73° = 107°
What is the area of the parallelogram ABCD
Answer:
16 square units
Step-by-step explanation:
hope that helps
I NEED HELP ON THIS PLSSS , ILL MARK BRAINLIEST!!
Answer:
134.0 in^3
Step-by-step explanation:
Volume = (radius^2 * pi * height)/3 = (4^2 * pi * 8)/3 = 134.0 in^3
Which statement is true about the ordered pair (3, 6)? OA. To plot the ordered pair (3,6), travel six units to the right on the x-axis and three units up on the y-axis, from the origin. OB. To plot the ordered pair (3,6), travel six units to the right on the y-axis and three units up on the x-axis, from the origin. OC. To plot the ordered pair (3,6), travel three units to the right on the x-axis and six units up on the y-axis, from the origin OD To plot the ordered pair (3,6), travel three units to the right on the y-axis and six units up on the x-axis, from the origin.
Answer:
If I read it right I believe it's C.
Step-by-step explanation:
work out the surface area of this cylinder with a diameter of 6cm and a height of 25 cm
Answer:
527.52cm^2
Step-by-step explanation:
First we need to find the eqauation of this which is:
2 pi*r^2 + 2 pi*r*h
The raduis is half of the diameter so 3
Now just plug in the values and solve
2*3.14*3^2 + 2*3.14*3*25
The answer is 527.52
If you were to round it you would get
527.5 or 528
hope this helps have a good day/night <3