What is the solution to the inequality: 10x + 18 < -2?
Answers
Answer: x<−2
(just had a test)
hope this helps
Related Questions
Given the functions m(x) = 4x − 11 and n(x) = x − 10, solve m[n(x)] and select the correct answer below. (2 points)
Select one:
a. m[n(x)] = 4x − 51
b. m[n(x)] = 4x − 29
c. m[n(x)] = 4x^2 − 51
d. m[n(x)] = 4x^2 − 29
Answers
m (x) = 4x - 11
n (x) = x - 10
We have then:
m [n (x)] = 4 (x - 10) - 11
Rewriting the function:
m [n (x)] = 4x - 40 - 11
m [n (x)] = 4x - 51
Answer:
a. m [n (x)] = 4x - 51
Answer:
got it right and was option A thx
Step-by-step explanation:
Evaluate without the use of a calculator 10^-2
Answers
A carpenter's square is a tool that is used to draw right angles. suppose you are buildong a toy car and you have four small circles of wood that will serve as the wheels . you need to drill a hole in the center of each wheel for axle. explain how you can use the carpenter 's square to find the center of each wheel. answer
Answers
Final answer:
To find the center of a wooden wheel for a toy car, use a carpenter's square to draw two perpendicular diameters across the wheel; their intersection is the center where the axle hole should be drilled.
Explanation:
To find the center of a wooden wheel using a carpenter's square, which is used to draw right angles, follow these steps:
Place the wheel on a flat surface.Use the carpenter's square to draw two diameters across the wheel by aligning the square with the edge of the wheel and drawing a line from one side of the wheel to the opposite side.Turn the wheel or the square 90 degrees and draw another diameter that intersects the first one. The two lines should cross at the wheel's center, providing the exact location to drill a hole for the axle.This method effectively divides the wooden wheel into four equal quadrants, and the intersection point of the diameters marks the center, where the axle hole should be drilled.
Please help, picture included!
State the domain of the relation.
A) {-4, -3, -2, -1, 0, 2, 5, 8}
B) {-4, -3, -2, -1, 0}
C) {-4, -3, -2, -1}
D) {-4, -1, 2, 5, 8}
Answers
recall that the domain is the values for the x-coordinate, whilst the range is the values for the y-coordinate.
How many solutions does the equation have?
7x+3−x=3(1+2x)7x+3−x=3(1+2x)
0
1
infinitely many
Answers
0 = 0
many solutions
answer
infinitely many
Answer:
0
if you were confused to the one on top
which completely describes the polygon
Answers
Answer:
NONE OF THE ABOVE!!
Step-by-step explanation:
A regular polygon is equilateral and equiangular, and also, can be inscribed into a circle. The polygon shown doesn't meet any of these conditions.
Kaylie had $1250 in her savings account. She withdrew $82 each month for 8 months in order to pay for a summer vacation. How much did Kaylie have in her account at the end of the 8 months?
Answers
A circle has a diameter with endpoints (7, -7) and (5, -3). What is the equation of the circle?
Answers
both can be found by using distance formula between 2 points:
[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ = \sqrt{ {(5 - 7)}^{2} + {( - 3 - - 7)}^{2} } \\ = \sqrt{ {(2)}^{2} + {(4)}^{2} } = \sqrt{4 + 16} [/tex]
[tex]d = \sqrt{20} = \sqrt{4} \times \sqrt{5} = 2 \sqrt{5} [/tex]
So our diameter is 2sr5, therefore our radius is half that: r = d/2 = 2sr5/2 = sr5
Now to calculate the center, go halfway between the x's and between the y's:
((7-5)/2 + 5, (-7--3)/2 + -3)
= ((2)/2 + 5, (-7+3)/2 + -3) = (1 + 5, (-4)/2 + -3)
= (1 + 5, -2 + -3) = (6, -5)
So our center is at (6, -5), where (h, k) is center for the formula, so h = 6, k = -5
Equation of a circle:
[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ {(x - 6)}^{2} + {(y + 5)}^{2} = {( \sqrt{5}) }^{2} \\ {(x - 6)}^{2} + {(y + 5)}^{2} = 5 [/tex]
Final answer:
To find the circle's equation from its diameter's endpoints, calculate the circle's center using the midpoint formula, then determine the radius with the distance formula. Finally, use these values in the circle's standard equation.
Explanation:
To find the equation of the circle, we first need to determine its center and radius. The midpoint of the diameter will give us the center of the circle, and the distance from one of the endpoints to the midpoint will give us the radius.
Step 1: Find the Center of the Circle
The midpoint formula ((x1 + x2)/2, (y1 + y2)/2) gives us the center of the circle. Applying this to our points (7, -7) and (5, -3):
Center = ((7 + 5) / 2, (-7 - 3) / 2) = (6, -5)
Step 2: Calculate the Radius
We use the distance formula, √((x2 - x1)² + (y2 - y1)²), between one of the endpoints and the center:
Radius = √((7 - 6)² + (-7 + 5)²) = √(1 + 4) = √5
Step 3: Write the Equation
Using the standard equation, (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius:
Equation: (x - 6)² + (y + 5)² = 5
This equation gives the precise location and size of the circle based on its diameter's endpoints.
Which rule describes the translation?
PLEASE ANSWER
(x, y) → (x – 8, y – 3)
(x, y) → (x – 3, y + 8)
(x, y) → (x + 8, y – 3)
(x, y) → (x + 3, y + 8)
Answers
Justification:
1) From the figure you can tell that the original trapezoid ABCD was translated 8 units to the right and 3 units down to yield the trapezoid A'B'C'D'.
2) Translating 8 units to the right means: x → x + 8
3) Translating 3 units down means y → y - 3
4) Therefore, the pair (x,y) is transformed into the pair (x + 8, y - 3); that is the rule (x,y) → (x + 8, y - 3)
Answer:
its C
Step-by-step explanation:
(x, y) → (x + 8, y – 3)
A 60 cm rope is tied to the handle of a bucket which is then whirled in a vertical circle.
Answers
a) we know that
T - mg = mv^2/r
The net forces equal the mass times the centripetal acceleration
So
T=50 N
m=3 kg
r=0.60 m
v = sqrt((T-mg)r/m) = sqrt((50-(3*9.8))*(.60)/3) = 2.03 m/s
the answer part a) is 2.03 m/s
b) At the top the equation becomes T+mg=mv^2/r
but here the critical speed occurs when T = 0
so the critical speed is v = sqrt(rg) = sqrt (.60*9.80) = 2.42 m/s
the answer part b) is 2.42 m/s
The scenario described in the question involves using a rope to whirl a bucket in a vertical circle. This relates to the physics concepts of centripetal force, tension in the rope, and gravity. The tension in the rope provides the centripetal force needed for the curved path of the bucket, and the scenario implies a constant speed and a counterbalance between tension and gravity at the highest point of the circle.
Explanation:The question involves a principle of physics known as centripetal force, which is the force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body, towards the fixed point of the instantaneous center of curvature of the path.
In this case, the 60 cm rope tied to the bucket and whirled in a vertical circle becomes a system where the bucket, the force of gravity, and the tension in the rope all play a part. When the bucket is whirled, it experiences a centripetal force that keeps it moving in a circle. This force comes from the tension in the rope, which always pulls the bucket towards the center of the circle (the hand holding the rope). Hence, there are two key forces in this scenario - the force of gravity, pulling the bucket downward, and the tension in the rope providing the centripetal force.
Since the question does not state otherwise, we can reasonably assume that the movement is steady, implying the speed of the bucket is constant. In such a case, the swinging bucket will rise to a certain point, where the tension in the rope and the gravity cancel each other, causing the bucket to start falling back to the other side, therefore, forming the vertical circular path.
Learn more about Centripetal Force here:https://brainly.com/question/11324711
#SPJ11
At summer camp, 150 kids had the opportunity to choose their activities. of those kids selected archery for their morning activity. Of that group, also chose to study drama in the afternoons. How many kids chose both archery in the morning and drama in the afternoons?
Answers
The correct answer is [tex]D = 23[/tex]
To solve this problem , let's define the given information:
Let [tex]T[/tex] be the total number of kids at the summer camp:
[tex]T = 150[/tex]
Let [tex]A[/tex] be the number of kids who chose archery for their morning activity:
[tex]\frac{A}{T} = \frac{3}{5}[/tex]
Let [tex]D[/tex] be the number of kids from the archery group who also chose drama in the afternoons:
[tex]\frac{D}{A} = \frac{1}{4}[/tex]
We want to find the value of [tex]D[/tex], which represents the number of kids who chose both archery in the morning and drama in the afternoons.
We can set up the following equations:
[tex]\frac{A}{T} &= \frac{3}{5}[/tex]
[tex]A &= \frac{3}{5}T[/tex]
[tex]A &= \frac{3}{5}(150)[/tex]
[tex]A &= 90[/tex]
[tex]\frac{D}{A} &= \frac{1}{4}[/tex]
[tex]D &= \frac{1}{4}A[/tex]
[tex]D &= \frac{1}{4}(90)[/tex]
[tex]D &= 22.5[/tex]
Therefore, the number of kids who chose both archery in the morning and drama in the afternoons is [tex]22.5 or 23[/tex] (since we cannot have a fractional number of kids).
[tex]D = 23[/tex]
A(n) _ shows you the schedule of payments on a loan and the total interest and payments at the end of the loan.
A. payoff table
B. amortization table
C. payment table
D. interest table
Secured debts must have _.
A. collateral
B. real property
C. low interest rates
D. certified lenders
You are purchasing a car for $12,985.00 with the help of your parents. How much interest is saved in the first month by you using their good credit rating compared to your fair credit rating?
A. $14.61
B. $54.15
C. $15.15
D. $69.25
(Secured APR for good credit is 5.00%, and for the unsecured APR it is 5.90%. Secured APR for fair credit is 6.40%, and for unsecured APR it is 7.25%.)
Answers
A. collateral
C. $15.15
(12985) * (0.014) * 1/12 = 15.14916666 = $15.15
Answer: 3.A
Step-by-step explanation: At the exallent rating
QRS~TUV. What is the measure of V?
What’s the answer?
Answers
Therefore, QS=TV
3v+2 = 7v-6
4v = 8
v = 2
Therefore; QS= 3(2)+2
= 8 units
TV = 7(2)-6
= 8 units
∠V is calculated to be 70°.
When two triangles are similar (QRS ~ TUV), their corresponding angles are equal. This means:
∠Q corresponds to ∠T∠R corresponds to ∠U∠S corresponds to ∠VGiven ∠R = 47° and ∠Q = 63°, we know that ∠T = 63° and ∠U = 47°.
Since the sum of the angles in any triangle is 180°:
∠Q + ∠R + ∠S = 180°
Substituting the known values:
63° + 47° + ∠S = 180°
Solving for ∠S:
∠S = 180° - 63° - 47° = 70°
Therefore, ∠V = 70° because ∠S corresponds to ∠V in the similar triangles.
Complete question: Triangle QRS is similar to triangle TUV. ∠R=47°, ∠Q=63°. What is the measure of angle V?
"how many distinct ways can the letters in tallahassee be arranged"
Answers
[tex] \frac{n!}{ n_{1}! n_{2}! n_{3}! ... n_{k}! } [/tex]
where: n is the number of elements in the set
n1 is the number of identical element (object 1)
n2 is the number of identical element (object 2)
n3 is the number of identical element (object 3)
So first let's see how many identical objects there are and the number of each.
A = 3 L= 2 S = 2 E= 2
How many elements in the set? 11
Now input your given:
[tex] \frac{11!}{3! 2! 2! 2!} [/tex]
[tex] \frac{39,916,800}{48} [/tex]
= 831,600 arrangements
The number of distinct ways the letters in TALLAHASSEE can be arranged is calculated using permutations with repetitions. It involves taking the factorial of the total number of letters and dividing by the factorial of the number of times each letter repeats.
To determine the number of distinct ways the letters in TALLAHASSEE can be arranged, we must consider it as a permutation problem with repeating elements. We need to calculate the factorial of the total number of letters and then divide by the factorial of the number of times each individual letter repeats.
The word TALLAHASSEE contains 11 letters in total:
'T' occurs once.'A' occurs twice.'L' occurs twice.'H' occurs once.'S' occurs twice.'E' occurs twice.The permutation formula considering repetitions is:
Number of arrangements = Total letters factorial / (Product of each letter's factorial)
Therefore:
Number of arrangements = 11! / (2! * 2! * 2! * 2!)
This would give us the total number of distinct arrangements of the letters in TALLAHASSEE.
Use Distributive Property to write 4m + 4p
Answers
4(m + p) <==
Factor out the common numbers/variables from the terms given
4 is a common number
4m + 4p
4(m + p) is your answer
hope this helps
does y vary directly as x in this function? y= -3x+4
Answers
- y varies inversely as x in this function
For y varies directly as x
For y varies inversely as x
for example:
when x = 10, y will = -24
y = -3(10) + 4
y = -30 + 4
y = -24
when x = -10, y will = 34
y = -3(-10) + 4
y = 30 + 4
y = 34
hope this helps
Kia has 10 coins in a bag. T here are three $1 coins and seven 50 pence coins. Kia takes at random 3 coins from the bag. workout the probability she takes out exactly $2.50
Answers
Answer:
7/40
Step-by-step explanation:
once again not bothered
The probability she takes out exactly $2.50 is 7/40.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Number of coins in Kia bag = 10 coins
Number of $1 coins = 3
Number of 50 pence coins = 7
Kia takes at random 3 coins from the bag and the number of ways are
[tex]10C_{3} =\frac{(10)(9)(8)}{(1)(2)(3)}[/tex]
⇒ [tex]10C_{3} =\frac{720}{6}[/tex]
⇒ 120
Kia takes out exactly $2.50
So the combination could be two $1 coins and one 50 pence coins,
⇒ [tex](3C_{2}) (7C_{1} )[/tex]
⇒ [tex](\frac{(3)(2)}{(1)(2)} )(7)[/tex]
⇒ 21
Thus the probability she takes out exactly $2.50 is P(E) = [tex]\frac{21}{120}[/tex]
⇒ 7/40
Hence we can conclude that the probability she takes out exactly $2.50 is 7/40.
Learn more about probability here
https://brainly.com/question/14944451
#SPJ2
What is the 30th term of the arithmetic series 4, 7, 10, …? 88 89?
Answers
d = a2 - a1 -> d = 7 - 4 = 3
an = a1 + (n-1) d -> an = 4 + (n-1) * 3 = 4 + 3n - 3n + 1
[an = 3n + 1]
a30 = 3 * 30 + 1 = 90 + 1 = 91
Answer: a30 = 91
In how many ways can you choose 3 kinds of ice cream and 2 kinds of toppings from a dessert buffet with 10 differnt kinds of ice cream and 6 kinds of toppings
Answers
To choose 3 kinds of ice cream and 2 kinds of toppings from the dessert buffet with 10 different kinds of ice cream and 6 kinds of toppings, you can use the concept of combinations. The total number of ways to choose is 1800.
Explanation:To determine the number of ways to choose 3 kinds of ice cream and 2 kinds of toppings from the dessert buffet, we can use the concept of combinations. We have 10 different kinds of ice cream to choose from, and we want to choose 3 of them. The number of combinations can be calculated using the formula:
C(n, r) = n! / (r!(n-r)!)
where n is the total number of objects (10 ice cream flavors) and r is the number of objects to be chosen (3 ice cream flavors), and ! denotes factorial.
In this case, the number of combinations of ice cream flavors is:
C(10, 3) = 10! / (3!(10-3)!) = 120
Similarly, we have 6 different kinds of toppings to choose from, and we want to choose 2 of them. The number of combinations of toppings is:
C(6, 2) = 6! / (2!(6-2)!) = 15
Therefore, the total number of ways to choose 3 kinds of ice cream and 2 kinds of toppings is the product of the number of combinations of ice cream flavors and toppings:
Total number of ways = 120 * 15 = 1800
A) –72
B) 72
C) –36
D) 36
Answers
[tex] \frac{(-9)(-8)}{(-2)} [/tex]
[tex](-9)(-8) = 72 [/tex]
Problem becomes: [tex] \frac{72}{-2} = ? [/tex]
Answer: [tex]-36[/tex]
Remember
-,- = +
+, + = +
-,+ = -
+,- = -
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
What is 1/10 of an income of $97.50?
$9.75
$0.98
$975.00
$9,750.00
Answers
Please help me. Thank you very much.
Answers
so part 1 = D
part 2 = (-2,9) answer is C
ryan invests a sum of money in a saving account with a fixed annual interest rate of 4.31% compounded monthly. After 10 years, the balance reaches $12,835.94. What was the amount of the initial investment?
Answers
We calculate P to be approximately $7,759.58, which is the amount Ryan invested initially.
To determine the initial investment that Ryan made, which grew to $12,835.94 after 10 years with an annual interest rate of 4.31% compounded monthly, we will use the formula for compound interest:
[tex]A = P(1 + r/n)^{nt}[/tex]
Where:
A is the amount of money accumulated after n years, including interest.
P is the principal amount (the initial amount of money).
r is the annual interest rate (decimal).
n is the number of times that interest is compounded per year.
t is the time the money is invested for, in years.
We know that:
A = $12,835.94
r = 4.31/100 = 0.0431
n = 12
t = 10
We need to solve for P:
P = A /[tex](1 + r/n)^{nt}[/tex]
Substituting the known values, we get:
P =[tex]$12,835.94 / (1 + 0.0431/12)^{12*10}[/tex]
P = $12,835.94 / [tex](1 + 0.0035925)^{120}[/tex]
P = $12,835.94 / ([tex]1.0035925)^{120}[/tex]
Calculating the value inside the parenthesis first:
[tex](1.0035925)^{120}[/tex] = 1.654297553
Now, we divide the final amount by this compound factor:
P = $12,835.94 / 1.654297553
P ≈ $7,759.58
Therefore, Ryan's initial investment was approximately $7,759.58.
if 2 inches equals 25 miles. how many miles would 0.25in (1/4 inch) equal?
Answers
Hope this helps!
The purple shape is a dilation of the black shape. What is the scale factor of the dilation?
Answers
Answer:
Scale factor = [tex] \frac{1}{2} [/tex]
Explanation:
The purple shape is a dilation of the black shape.
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
Now findd the scale factor.
If given two shapes and need to find the scale factor, We must know which one was the original and which one is the image or the new shape. Then we need to know the length of corresponding sides and set them up in a ratio like so:
Scale Factor = [tex] \frac{purple}{black} [/tex]
Scale factor = [tex] \frac{10}{20} = \frac{1}{2} [/tex]
The Wilsons drove 324 miles in 6 hours if they drilled the same number of miles each hour how many miles did they drive in 1 hour
Answers
324/6=54
The graph of the function f(x) = (x + 2)(x + 6) is shown below. Which statement about the function is true?
a.The function is positive for all real values of x where x > –4.
b.The function is negative for all real values of x where –6 < x < –2.
c.The function is positive for all real values of x where x < –6 or x > –3.
d.The function is negative for all real values of x where x < –2.
Answers
So that's why the answer is choice B.
What is the value of z in the equation z − 3 = 22? 7.33 19 25 66
Answers
Think about it, switch 25 with z
Answer 25 - 3 = 22
Correct
Answer:
The answer is 25
Step-by-step explanation:
In this fulcrum, the weights are perfectly balanced. How far must the fulcrum be located from the 40 lb. weight if the bar is 11 feet long? x (to the nearest tenth) =
Answers
we know that
if the weights are perfectly balanced
40*(x)=50*(11-x)
40x=550-50x------------> 50x+40x=550--------------> x=6.11
x=6.1 ft
the answer is 6.1 ft
Answer:
[tex]x=6.11 feet[/tex]
Step-by-step explanation:
Given that in a fulcrum weights are perfectly balanced.
One side 40 lb weight is there and another side 50 lb weight is given
Let x be the length of 40 lb weight from fulcrum. Then 50 lbs is at a distance of 11-x.
Then we have since weights are perfectly balanced
[tex]40x = 50(11-x)\\90x=550\\x=6.111[/tex]
Thus we get [tex]x=6.11[/tex]feet
How far does a bus travel in 2.5 hours at 65mph?
Answers
162.5 miles