Answer: B.x = -22
x + 13 < 9
⇔ x < 9 - 13
⇔ x < -4
=> x ∈ {-∞; -4}
=> x = -22
Step-by-step explanation:
Answer:
Step-by-step explanation:
x + 13 < 9
x < - 4
(B). - 22
State if the given functions are functions
A chef by 6 LBS of salmon for $51 how much will another 9 LBS cost
Answer:
$76.5
Step-by-step explanation:
51 divided by 6 is 8.5. So the salmon costs $8.50 per pound. And 8.5 times 9 is 76.5.
Can someone help me please?
Answer:
about 6000π
Step-by-step explanation:
If the radius of the earth is approximately 3960 miles, what is the linear speed of a point on the equator in miles per hour. Round your answer to the nearest mph.
A. 1681 mph
B. 2073 mph
C. 840 mph
D. 1037
Pls show work
Answer:Section 6.1
Solutions and Hints
by Brent M. Dingle
for the book:
Precalculus, Mathematics for Calculus 4
th Edition
by James Stewart, Lothar Redlin and Saleem Watson.
If you remember nothing else from this section remember:
arc length = radius * angle
s = r * q
where the angle, q, is measured in radians.
There are other formulas, but that one is pretty important.
48. A circular arc of length 3 feet subtends a central angle of 25.
Find the radius of the circle.
Start with s = r*q , s = 3 feet, q = 25 = 25*(p/180) = (5/36)p radians
3 = r * (5/36)p Å 3*(36/5) = r*p Å 21.6 = p*r Å r = 21.6/p feet
52. Memphis, Tennessee and New Orleans Louisiana lie approximately on
the same meridian. Memphis has latitude 35 N and New Orleans 30 N.
Find the distance between the cities, given the radius of the earth is
3960 miles.
Again start with s = r*q,
with r = 3960 miles and q = 35 – 30 = 5 = 5*(p/180) = (1/36)p.
and we need to find s = arc length = distance between the cities.
s = 3960*(1/36)p = 110p miles.
60. A sector of a circle of radius 24 miles has an area of 288 square miles.
Find the central angle of the sector.
For this you need a new formula.
The area of a sector of circle = A = ½*r
2
*q ,
where q is the central angle of the sector measured in radians
and r of course is the radius of the circle.
For this problem r = 24 miles, A = 288 sq. miles and we need to find q.
288 = (½)*24
2
*q Å 288 = 288*q Å 1 radian = q (or about 57.3)
62. Three circles with radii 1, 2 and 3 feet are externally tangent to one
another. Find the area of the sector of the circle of radius 1 that is
cut off by the line segments joining the center of that circle to the
centers of the other two circles.
So you start out with:
Notice you know the length of ALL the sides of the triangle, because you know
the radius of each circle. From this you might discern that: 5
2
= 3
2
+ 4
2
. Thus you
have the (length of the hypotenuse)
2
= (length of side A)
2
+ (length of side B)
2
.
And from that you may conclude the triangle is a right triangle, or rather the angle
we are interested in is 90. Thus we use the area formula given in the text:
The area of a sector of circle = A = ½*r
2
*q ,
For this problem r = 1 foot, q = 90 = p/2, and we need to find A
A = ½ * 1
2
* p/2 = p/4 square feet.
Step-by-step explanation:
The linear speed of a point on the equator in miles per hour is 1037 mph. Therefore, option D is the correct answer.
Given that, the radius of the earth is approximately 3960 miles.
What is the linear speed?Linear speed is the measure of the concrete distance travelled by a moving object. The speed with which an object moves in the linear path is termed linear speed. In easy words, it is the distance covered for a linear path in the given time. Linear Speed Formula is articulated as s=rθ/t.
Any point in the equator would complete a 360° or 2π, revolution in 24 hours. Therefore, the linear speed would be s=rθ/t.
where r is the radius of the Earth and θ is the angular distance (in rad) after time t
Hence, the linear speed would be
s= (3960×2π)/24
= (3960×2×3.14)/24
= 24868.8/24
= 1036.7
≈1037 mph
The linear speed of a point on the equator in miles per hour is 1037 mph. Therefore, option D is the correct answer.
Learn more about the linear speed here:
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Which of the following values are solutions to the inequality
PLS I NEED THIS! ASAP
Answer: the answer is -5/6 . 2-3/1
Step-by-step explanation:
I had one of these questions before in my exams. I'm pretty sure you
will get it right.
Jodie bought a music player on sale for 50% off the original price, for $60. What was the price of the music player before the sale?
Answer:
the answer is $120
Step-by-step explanation:
60+60 is 120
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
Answer:
102
400/4= 100 and 8/4 is 2 sooo 102
When you divide 408 by 4 You will get 102
408/4 =102
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Find the value of x that makes m ∥ n .
Answer:
60
Step-by-step explanation:
(2x+15)=135 They're corresponding angles so they equal/congruent
-15 -15 Subtract 15 on both sides since you're looking for x
2x = 120 Bring down the remains and subtract 135 from 15
2 2 Add 2 on both sides
x= 60 Divide.
Find the slope of the line that passes through the points 2,4,6 and 12
Answer:
The slope is 2.
Step-by-step explanation:
If you use the formula that is shown in the picture, you can calculate that 12-4/6-2 is the slope. If you simplify, you'll get that 8/4 is the slope which simplifies to 2.
Finding angles in measures using triangles
you can use this for help:
the interior angles of a triangle add up to 180°
So, Angle I + angle H + angle x =180°
60°+56°+x°=180°
116°+x°=180°
X=180-116
X=64°
The probability that Terry buys a sandwich is 0.4.
The probability that Terry gets the bus is 0.9.
Assuming the events are independent, what is the probability that Terry buys a sandwich and gets the bus?
Answer:
The probability that Terry buys a sandwich and gets the bus is 0.36
Step-by-step explanation:
When two events are called independent, it means that the happening of one event doesn't affect the happening of other event.
Let A be the event that Terry buys a sandwich
Let B be the event that Terry gets the bus
Then
[tex]P(A) = 0.4\\P(B) = 0.9[/tex]
When two events are independent, their probabilities are multiplied i.e.
[tex]P(A\ and\ B) = P(A) * P(B)\\= 0.4 * 0.9\\= 0.36[/tex]
Hence,
The probability that Terry buys a sandwich and gets the bus is 0.36
Kayla is 9 years younger than Jay. The sum of their ages is 73. How old is Kayla?
Kayle is 27 Jay is 46
Answer:
63
Step-by-step explanation:
Just subtract.
What’s the square root of 8 and 75 and 20 and 300 and 15
#not help asap
On her first 5 tests, Francine scored 78%, 82%, 89%, 83% and 84%. What was her mean score?
Answer:
83.2%
Step-by-step explanation:
Just add all the percentages together and divide it by the number of scores, which in this case is 5.
Answer:
83.2%
Step-by-step explanation: we know, mean = sum of data/ number of data
= 78+82+89+83+84
=416
now ,
416/5 = 83.2%
find the hcf of 27 36 and 45
Answer:
Greatest Common Factor of 27, 36, 45, 56
Greatest common factor (GCF) of 27, 36, 45, 56 is 1.
Answer:
9
Step-by-step explanation
you multiply by 9 and 27,36,and 45 are all in this
Transformation picture above!!
Answer:
Pretty sure it is C
Step-by-step explanation:
What are the stages of asthma? Which is worse?
Answer:
Mild Intermittent Asthma – No more than 2 Symptoms per week, no problems in between attacks which only last a few hours to at most a few days, less than 2 nighttime episodes per month.
Mild Persistent Asthma – Symptoms happen at least 2 a week but not more than once a day.
Moderate Persistent Asthma – There are symptoms every day and because of that you have to use rescue medication every day as well.
Severe Persistent Asthma – You can’t do that much physical activity and always have to carry around and often use a rescue device.
Step-by-step explanation:
Answer:
bop
Step-by-step explanation:
A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?
Answer: B. Medium
Step-by-step explanation:
A.P.E.X
Answer:
A Medium
Step-by-step explanation:
AP. EX
If 2/5 of the books in the library are fiction and 1/4 of the fiction books are science fiction, what fraction of the books in the library are science fiction? check all that apply.
A. 2/5
B. 1/4
C. 4/7
D. 3/7
None of the provided options match the correct fraction. The correct fraction is 1/10, which is not listed.
Let's calculate the fraction of science fiction books in the library based on the given information.
If 2/5 of the books in the library are fiction, then the fraction of fiction books in the library is 2/5.
Now, if 1/4 of the fiction books are science fiction, we can find the fraction of science fiction books in the library by multiplying the fraction of fiction books by 1/4:
Fraction of science fiction books = (2/5) * (1/4)
Fraction of science fiction books = 2/20
Simplifying the fraction, we get:
Fraction of science fiction books = 1/10
So, the fraction of books in the library that are science fiction is 1/10.
None of the provided options match the correct fraction. The correct fraction is 1/10, which is not listed.
To know more about Fractions:
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Savvas Realize
In Allentown, Pennsylvania, there are two hamburger shops, Jenny's Burgers and the Burger Hut. Jenny's Burgers sells a record 36 burgers in 5 hours. The next day, Burger Hut broke the record for 108 burgers in 5 hours. How many times more is the record of Burger Hut then Jenny's Burgers?
How do you know?
Answer: the record is 3 times higher
Step-by-step explanation:
The record Jenny's Burgers sold was:
36 burgers in 5 hours
The record Burger Hut sold was:
108 burgers in 5 hours
We have to divide the record of Burger Hut by Jenny's Burgers.
108 divided by 3 is 36.
So, the record is 3 times higher. Hope this helps!
Answer:
3 times the quantity
Step-by-step explanation:
108 divided by 36 equals 3 times the quantity
!!!!!!
The pair of points lies on the same line with the given slope. Find x.
(5,8). (x,14); slope = 2
Find x.
(Type an integer or a simplified fraction.)
Answer:
required Value of x is x=8
Step-by-step explanation:
We are given two points: (5,8) and (x,14) and slope =2 . We need to find value of x.
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given slope =2 , x₁=5, y₁=8, x₂=x, y₂=14
So, we actually need to find value of x₂. Putting values in formula and find value of x
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\2=\frac{14-8}{x-5}\\Solving:\\2(x-5)=6\\2x-10=6\\2x=6+10\\2x=16\\x=\frac{16}{2}\\x=8[/tex]
So, required value of x=8
Find the distance between the two points G(-1,-5) and H(3,-8)
Answer:
5.099
Step by step explanations:
Input Data :
Point 1(xA,yA)(xA,yA) = (4, 3)
Point 2(xB,yB)(xB,yB) = (3, -2)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(3−4)2+(−2−3)2(3-4)2+(-2-3)2
= √(−1)2+(−5)2(-1)2+(-5)2
= √1+251+25
= √2626 = 5.099
Distance between points (4, 3) and (3, -2) is 5.099
2. Solve the inequality 2(−3)≤−8.
Answer:
-6 less than or equal to -8
Step-by-step explanation:
The left side
6
is greater than the right side
8
, which means that the given statement is false.
Will give brainliest: Hugh made a recipe that yields 5 and 1 over 4 cups. If each serving is 1 over 2 cup, which expression will help Hugh determine the number of servings his recipe will yield?
5 1/4 x 1/2
5 1/4 + 1/2
5 1/4 / 1/2
5 1/4 - 1/2
Answer:
5 1/4 / 1/2
Step-by-step explanation:
Thay will equal the amount of halves u need if u solve it.
Answer:
5 1/4 divided by 1/2
Step-by-step explanation:
Which two integers is –85 between?
Answer:
-84 and -86
Step-by-step explanation:
solve (2x + 3) - (9x - 3)
Answer:
-7x + 6
Step-by-step explanation:
In a ten pin bowling the highest possible score in a single game is 300. At one point in the season, John had an average score of 177. In his next game he obtained a score of 199 which caused his average to increase to 178. After one more game John would like his average to be 183. is it possible for him to accomplish this. If so what score does he need to make his next game if not explain why not.
Answer:
John need to get 293 in his next game to bring his average up to 183.
Step-by-step explanation:
John starts with N games played and averaging 177 points per game.
In game N+1, John scored 199 points.
[tex]\frac{177N + 199}{N+1}=178\\177N+199=178N+178\\N=21\\[/tex]
So, John has now played (N+1) = 22 games.
We need to know what score John needs in game 23 to bring his average to 183.
[tex]\frac{177*21 + 199+Y}{23}=183\\3916+Y=4209\\Y=293\\[/tex]
Need help ASAP ........
Answer:
3/4 or 3 quarters or 3 4ths
Can I get brainliest?
~Hope this helps!! Stay safe!~
Answer: I got 3/4? I hope it's correct T v T
Step-by-step explanation:
Help me solve this, plz!! WILL MARK BRAINLIEST!! Show how to solve, plz and thank you!!
Answer:
6<x<9Step-by-step explanation:
from the graph above the non linear paths are the curves on the Cartesian plain
on the y-axis, you'll get to see the curve there for the the values for x and y intervals are at their maximum, which in range is 6<x<9
