Answers
Answer: (C) 1
Step-by-step explanation:
The question is asking which y-value are not represented in the graph. IN other words, they are asking for which values are not included in the range.
You can do this by graphing the equations:
y = x + 2 for x ≥ 0 has a y-intercept of +2 with y-values increasing
Note: +2 is included so has an closed doty = x - 2 for x < 0 has a y-intercept of -2 with y-values decreasing
Note: -2 is not included so has an open dotTherefore, there are no y-values between +2 and -2 (including -2). The only option provided between these values is 1, which is option C.
Step-by-step explanation:
The given function is an increasing piecewise function with a jump at x=0 from
f(0-) = -2 to f(0)=+2.
Hence values of f(x) in the interval (-2,+2] cannot be achieved, since
for all x<0, f(x)<-2, and
for all x>=0, f(x)>= +2.
See attached graph for visual explanation.
Related Questions
Nikki spent $59.29 on clothing. She bought 3 shirts and a pair of pants. The pair of pants cost $21.79. If each shirt cost the same amount, how much did each shirt cost?
Answers
the you take $37.50 divide it by 3 and you get $12.50 so each shirt would cost $12.50
Point O is the center of the circle. What is the value of x?
a. 8
b. 9
c. 15
d. 17
Answers
a^2 + b^2 = c^2
c^2 - b^2 = a^2
17^2 - 8^2 = a^2
289 - 64 = a^2
a^2 = 225
a= sqrt(225)
a = 15
Which equation has no real roots? a. x2 – 6x + 12= 0 b. x2 – 25 = 0 c. x2 + 11x = 0 d. x2 + 12x + 11= 0
Answers
Answer:
A
Step-by-step explanation:
To find the number of real roots for a quadratic, we apply the discriminate. The discriminate is the inside portion of the square root from the quadratic formula.
[tex]b^2-4ac>0[/tex] yields 2 real roots[tex]b^2-4ac=0[/tex] yields 1 real root[tx]b^2-4ac<0[/tex] yields no real rootsa. [tex]x^2-6x+12=0[/tex] where a=1, b=-6, and c=12
[tex]b^2-4ac=(-6)^2-4(1)(12)=36-48=-12<0)[/tex] has no real roots
b. [tex]x^2-25=0[/tex] where a=1, b=0, and c=-25
[tex]b^2-4ac=(0)^2-4(1)(-25)=0+100=100>0)[/tex] has 2 real roots
c. [tex]x^2+11x=0[/tex] where a=1, b=11, and c=0
[tex]b^2-4ac=(11)^2-4(1)(0)=121-0=-121>0)[/tex] has 2 real roots
d. [tex]x^2+12x+11=0[/tex] where a=1, b=12, and c=11
[tex]b^2-4ac=(12)^2-4(1)(11)=144-44=100>0)[/tex] has 2 real roots
Celeste wants to have her hair cut and permed and also go to lunch she knows she will need $50 the perm cos twice as much as her haircut and she needs $5 for lunch how much does the permcost
Answers
50 = 5 + 2x + x
Combine like terms:
50 = 5 + 3x
Subtract 5 from both sides to isolate 3x
50 - 5 = 3x
45 = 3x
Divide all by 3 to isolate x
x = 45/3
x = 15
So the haircut is $15 and the perm is $30 (2*$15).
A geologist had to rocks on a scale that weighed 3.3 kg together the first rock was 0.3 of the total weight how much did each Rock weigh
Answers
Answer:
A geologist had to rocks on a scale that weighed 3.3 kg together the first rock was 0.3 of the total weight how much did each Rock weigh?
First thing you have to do is take 3.3 and multiply it by 0.3, that gives you 0.99. And just take the 0.99 and subtract 3.3 by 0.99. that gives you your ANSWER(2.31 kg) Hope that helps!
Step-by-step explanation:
To solve the problem, we first find the weight of the first rock by multiplying the total weight of the rocks by 0.3, then subtract the weight of the first rock from the total weight to find the weight of the second rock. The first rock weighs 0.99 kg and the second rock weighs 2.31 kg.
Explanation:The problem involves understanding proportions since the first rock weighs 0.3 of the total weight. First, let us find the weight of the first rock. Multiply the total weight of the rocks, which is 3.3 kg, by 0.3 to find the weight of the first rock. That is 3.3 kg * 0.3 = 0.99 kg.
Next, subtract the weight of the first rock from the total weight to find the weight of the second rock. That is 3.3 kg - 0.99 kg = 2.31 kg. So, the first rock weighs 0.99 kg while the second rock weighs 2.31 kg.
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Start at 39 and create a pattern with the rule subtract 5. What is the third number in the pattern,,?
Answers
Answer:
24
Step-by-step explanation:
39-5= 34, 34-5= 29, 29-5= 24
Answer:
3rd to last? 29
Step-by-step explanation:
Which measurement represents the largest volume?
A) 999mL
B) .99L
C) 998cm³
D) 1.02L
Answers
Answer:
B
Step-by-step explanation:
The measurement representing the largest volume among the options is D) 1.02 L, as it is larger than .99 L, 0.999 L and 0.998 L, which are the rest of the options converted into the same unit (liters).
Explanation:In order to determine which of these measurements represents the largest volume, we need to make sure we're comparing them using the same units of measure. So, we'll convert everything to liters (L), as this is the most common unit among the options.
First of all, A) 999 milliliters (mL) is equal to 0.999 Liters (L) because 1 L = 1000 mL. B) .99L is just .99L. For C) 998 cubic centimeters (cm³), we need to know that 1 cm³ is equal to 1 mL, so 998 cm³ equals 0.998 L. Finally, D) 1.02 L is already in liters.
Looking at these conversions, D) 1.02 L represents the largest volume among the given choices.
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You earned $34,000 and your total tax due was $6,200. What was your average tax rate? a) 8% b) 10% c) 18% d) 20%
Answers
Answer is C 18%
Step-by-step explanation:
for an experiment you need to dissolve 0.05 moles of NaCl in one liter of water. how much NaCl must you weigh out?
Answers
for an experiment you need to dissolve 0.05 moles of NaCl in one liter of water. how much NaCl must you weigh out?
2.9 i just took the test
To find the amount of NaCl required, multiply the number of moles by the molar mass of NaCl. Hence, you need approximately 2.922 g of NaCl to get 0.05 moles.
Explanation:To find out how much NaCl you would need to weigh out, we need to convert moles to grams using the molar mass of NaCl. Knowing that the molar mass of NaCl is 58.44 g/mol, we could get the mass by multiplying the number of moles by the molar mass.
So, it would be 0.05 moles * 58.44 g/mol = 2.922 g of NaCl. You would need to weigh out approximately 2.922 grams of NaCl (assuming precision up to three decimal places) to get the required 0.05 moles needed for the experiment.
This is a typical example of applying concepts of molality and molarity in chemical solutions, where you need to accurately determine the amount of solute to use to achieve a precise molar concentration.
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what is the value of x?
Answers
Angle G and Angle F are the same, which means that HF = GH
This means that x = 15
Answer:x=15
Step-by-step explanation:
NEED HELP someone,anyone, please help im sturggling
Answers
b.) there would be 0 obtuse angles.
c.) there would be 1 right angle.
In the diagram you can see a little black box in one of the corners of the triangles. That box means the angle is a right, 90 degree angle. Since an acute angle is an angle that is less than 90 degrees, and since all three angles would have to add up to 180 degrees, you know that the other two angles are acute angles.
Answer:
10. 1 right 2 acute 0 obtuse angles
11. x=6
Step-by-step explanation:
10. A triangle has 3 angles.
If it is a right triangle is has 1 right angle which is 90 degrees.
90 + x+y = 180 where x and y are the other 2 angles
Subtract 90 from both sides
x+y = 90
So the 2 angles that are left can only add to 90.
An obtuse angle is greater than 90 degrees, so we cannot have an obtuse angle. Acute angles are less than 90 degrees.
A right angle is 90 degrees. If one of the angles left is 90 degrees, the other one is zero, and that does not make a triangle.
So we must have 1 right angle and 2 acute angles (no obtuse angles)
11. Since the 2 sides are the same the triangle is isosceles. That means the two angles have the same measurements.
90 + y+y = 180
y+y=90
2y = 90
y = 45
Each angle must equal 45 degrees
7x+3 = 45 degrees
Subtract 3 from each side
7x+3-3 =45-3
7x =42
Divide each side by 7
7x/7 =42/7
x =6
The angle of depression from the top of a lighthouse to a boat in the water is 30°. If the lighthouse is 89 feet tall how far is the boat from the lighthouse to the nearest foot?
A) 45 feet
B) 51 feet
C) 63 feet
D) 154 feet
Answers
Answer:
D) 154 feet
Step-by-step explanation:
The angle is less than 45°, so you know the distance will be more than 89 feet. There is only one choice in that range.
_____
The mnemonic SOH CAH TOA reminds you ...
... Tan = Opposite/Adjacent
so ...
... tan(30°) = (89 ft)/(distance to boat)
Then ...
... distance to boat = (89 ft)/tan(30°) ≈ 154 ft
If the square ABCD is dilated by a scale factor of 2 to form A'B'C'D', what is the ratio of the area of A'B'C'D' to the area of ABCD
Answers
Answer:
4:1
Step-by-step explanation:
If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².
Answer:
1:4 C
Step-by-step explanation:
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
the length is 3 yd, the base is 7 yd, and the width is 6 yd
Answers
Answer:
The surface area is 162 yards
Step-by-step explanation:
A = 2(w l + h l + h w)
A = 2(7 (3) + 6 (3) + 6 (7))
7 x 3 = 21
6 x 3 = 18
6 x 7 = 42
21 + 18 +42 = 81
81 x 2 = 162
A printer prints 75 pages in 5 minutes. At the same rate, how many pages does the printer print in 7 minutes? Solve and show your work. • Explain how you solved using the words "first," "next," and "last."
Answers
Answer:
105
Step-by-step explanation:
first, the printer print 15 (75/5) pages per minutes,
next, 7×15=105
m x 5 = 30
m = ?
A) 3
B) 4
C) 5
D) 6 what the answer
Answers
M = ?
penyelesaian.
30 : 5 = 6.
the answered is (D) 6.
Answer: The correct option is D.
Step-by-step explanation: We are given a linear equation:
[tex]m\times 5=30[/tex]
To calculate the value of , we need to separate m from the constant '5' which is done when 5 goes to the other side of the equation and gets divided there:
[tex]m=\frac{30}{5}\\\\m=6[/tex]
Conclusion: Hence, the value of m is 6 for the given equation.
A farmer plants apple, pear, and cherry trees in an orchard. The number of apple trees is 8 more than twice the number of pear trees. The number of cherry and pear trees combined is 11 more than the number of apple trees. The farmer plants 143 trees total. How many of each type of tree did the farmer plant in the orchard?
Answers
Answer:
Let x represents the number of apple tree and y represents the number of pear tree and z represents the number of cherry tree in an orchard.
From the given statement: The number of apple trees is 8 more than twice the number of pear trees.
⇒ [tex]x = 2y + 8[/tex] .....[1]
Also, It is given that the number of cherry and pear trees combined is 11 more than the number of apple trees.
⇒[tex]y + z = x + 11[/tex] ......[2]
The farmer plants 143 trees total.
⇒[tex]x +y +z =143[/tex] .....[3]
Substitute equation [2] into [3] we get;
[tex]x + x + 11 = 143[/tex]
Combine like terms;
[tex]2x +11 = 143[/tex]
Subtract 11 on both sides we get;
2x + 11 -11 =143 -11
Simplify:
2x = 132
Divide both sides by 2 we get;
x = 66
Substitute the value of x in equation [1];
66 = 2y + 8
Subtract 8 on both sides we get;
[tex]66 -8 =2y + 8 -8[/tex]
Simplify:
58 = 2y
Divide by 2 on both sides we get;
y = 29
Substitute the value of x and y in equation [3];
we have;
29 + 66 + z = 143
95 + z =143
Subtract 95 on both sides, we get;
95+ z -95 = 143- 95
Simplify:
z = 48
The framer plant in the orchard = 66 apple trees , 29 pear trees and 48 cherry trees
Can someone please explain how to do these?
Answers
Answer:
First question answer: The limit is 69
Second question answer: The limit is 5
Step-by-step explanation:
For the first limit, plug in [tex]x=8[/tex] in the expression [tex](9x-3)[/tex], that's the answer for linear equations and limits.
So we have:
[tex]9x-3\\9(8)-3\\72-3\\69[/tex]
The answer is 69
For the second limit, if we do same thing as the first, we will get division by 0. Also indeterminate form, 0 divided by 0. Thus we would think that the limit does not exist. But if we do some algebra, we can easily simplify it and thus plug in the value [tex]x=1[/tex] into the simplified expression to get the correct answer. Shown below:
[tex]\frac{x^2+8x-9}{x^2-1}\\\frac{(x+9)(x-1)}{(x-1)(x+1)}\\\frac{x+9}{x+1}[/tex]
Now putting 1 in [tex]x[/tex] gives us the limit:
[tex]\frac{x+9}{x+1}\\\frac{1+9}{1+1}=\frac{10}{2}=5[/tex]
So the answer is 5
If lisa has 2,134 buttons that needed to be sorted equally into 12 jars.How many buttons will be in each jar.
Answers
Answer:
Either 177 or 188 buttons
Step-by-step explanation:
2134/12=177.83
Lisa can place 177 buttons into each jar when she distributes 2,134 buttons equally among 12 jars.
Explanation:To determine the number of buttons Lisa can distribute into each jar, we perform a simple division: dividing her total button count, 2,134, by the number of jars, which is 12. This calculation results in approximately 177.83 buttons per jar. However, since you can't have a fraction of a button, we must round down to the nearest whole number, which is 177. Consequently, each jar will be filled with exactly 177 buttons. This fair distribution ensures that all 12 jars are equally supplied, making it practical and straightforward for Lisa to organize her collection.
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Two trains leave the station at the same time, one heading west and the other east. The westbound train travels 18 miles per hour faster than the eastbound train. If the two trains are 800 miles apart after 4 hours, what is the rate of the westbound train?
Do not do any rounding.
This has to be right, the first time because it will force me to start over
Answers
Answer:
The combined speeds of the trains equals 800 miles per 4 hours or
200 miles per hour.
This averages out to 100 miles per hour for each train.
Westbound train is 18 mph faster so
109 mph = Westbound
91 mph = Eastbound
That seems to be right except trains speeds of 91 mph and 109 mph seem to be VERY fast.
Step-by-step explanation:
Select all that apply. Solve for x, 0 < x < 2 pie. 2 sin x - sqrt 3 = 0
< is actually less than or equal to sign.
sqrt means square root.
answer choices (select all that apply)
pie/3
2pie/3
4pie/3
5pie/3
Answers
Answer: A and B
pi/3 and 2pi/3
=========================================
Work Shown:
2*sin(x) - sqrt(3) = 0
2sin(x) = sqrt(3)
sin(x) = sqrt(3)/2
Using the unit circle, we see that sin(theta) is equal to sqrt(3)/2 when theta is theta = pi/3 in quadrant I, and when theta = 2pi/3 in quadrant II.
So sin(pi/3) = sqrt(3)/2 and sin(2pi/3) = sqrt(3)/2
--------------------
You can check these answers by replacing x with the value in question and seeing if you get zero. Make sure your calculator is in radian mode
Plug in x = pi/3
2*sin(x) - sqrt(3) = 0
2*sin(pi/3) - sqrt(3) = 0
0 = 0 .................... this is a true equation, x = pi/3 is confirmed as a solution
Plug in x = 2pi/3
2*sin(x) - sqrt(3) = 0
2*sin(2pi/3) - sqrt(3) = 0
0 = 0 .................... true equation, x = 2pi/3 is confirmed as a solution
Plug in x = 4pi/3
2*sin(x) - sqrt(3) = 0
2*sin(4pi/3) - sqrt(3) = 0
-3.4641016 = 0 ............ false equation, x = 4pi/3 is a nonsolution
Plug in x = 5pi/3
2*sin(x) - sqrt(3) = 0
2*sin(5pi/3) - sqrt(3) = 0
-3.4641016 = 0 ............ false equation, x = 5pi/3 is a nonsolution
Final answer:
To solve the trigonometric equation 2 sin x - √(3) = 0 within the interval 0 ≤ x < 2π, we find that sin x = √(3)/2 at x = π/3 and 2π/3, which are the correct answer choices.
Explanation:
To solve for x in the given trigonometric equation 2 sin x - √(3) = 0, we first isolate the sine function by adding √3 to both sides and then divide by 2, giving us sin x = √(3)/2. Now, we seek the angles x within the interval 0 ≤ x < 2π (where π is pi) that satisfy this equation. We know that sin x is √(3)/2 at the angles π/3 and 2π/3 in the first and second quadrants, respectively. These are the two angles where the sine function takes the value of √(3)/2 between 0 and 2π. Therefore, the correct answer choices are π/3 and 2π/3.
It is important to consider that the sine function is positive in the first and second quadrants, and given the range for x, we don't need to consider the third or fourth quadrants where sine is negative. Additionally, the angles 4π/3 and 5π/3 correspond to a negative value of the sine function, thus they do not satisfy the equation.
Roxanne bought a 40-inch television that measures 24 inches in height. What is the width of the television?
Answers
Answer:
The width is 32 inches
Step-by-step explanation:
What is the 20th term of the arithmetic sequence?
Answers
a(20) = -5 +(20-1)3
Simplify: a(20) = -5 + (60-3)
Simplify: a(20) = -5 + 57
Result: a(20) = 52
So, 52 is the 20th term of the arithmetic sequence.
[tex]a(n) = - 5 + (n - 1)3[/tex]
Let n=20 and evaluate it as:
[tex]a(20) = - 5 + (20 - 1)3 \\ \\ a(20) = - 5 + (19)3 \\ \\ a(20) = - 5 + 57 \\ \\ a(20) = 52[/tex]
Factor 18 out of 18x−498 ( THIS IS 7th GRADE MATH BTWWWW <3)
Answers
The factored form of the expression 18x - 498 when 18 is factored out is 'x - 27.67'
Explanation:To factor out 18 from 18x-498, you divide each term in the expression by 18. That would look like this: 18x / 18 - 498 / 18. This simplifies to x - 27.67.
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To factor 18 out of 18x - 498, divide each term by 18. The factored form is 18(x - 27.67).
Explanation:Factoring in mathematics involves breaking down an algebraic expression into its constituent factors. Factoring is crucial for solving equations, simplifying expressions, and understanding the underlying structure of mathematical relationships.
To factor 18 out of 18x - 498, divide each term by 18:
18x / 18 = x
498 / 18 = 27.67
So, the factored form is: 18(x - 27.67)
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Millicent filled out an order for $179.10 worth of items. If the sales tax is 3 1/2% and the shipping is listed below, what was the total amount of her order?
Shipping and Handling Charges
Up to $25 $4.50
$25.01 to $75 $6.95
$75.01 to $125 $8.95
$125.01 and above $10.95
Question 6 options:
$194.52
$195.62
$196.32
$197.42
Answers
Answer:
(179.10 * 0.035) =6.2685 185.3685 = $196.32
Step-by-step explanation:
First we add 3.5% to the total.
Second we see that the total is over $125.01 thus we add another 10.95 and get 196.3185, rounded to 196.32
Answer:
Option C., $196.32 is the answer.
Step-by-step explanation:
Millicent filled out an order, worth of items = $179.10
The sales tax on that item = [tex]3\frac{1}{2}[/tex]% = 3.5%
total price of the item = 179.10 + ( 3.5% of 179.10)
179.10 + (0.035 × 179.10)
179.10 + 6.2685 = $185.3685 ≈ $185.37
Shipping and handling charges up to $125.01 and above is $10.95
Total price + shipping = 185.37 + 10.95 = $196.32
The total amount of her order is $196.32
WXYZ is a kite. If the measure of angle WXY is 120°, the measure of angle WZY is 4x° and the measure of angle ZWX is 10x°, find the measure of angle ZYX.
Answers
Answer:
100 degrees
Step-by-step explanation:
Remark
The endpoints of the smaller diagonal of a kite, intersect the vertexes of 2 equal angles. Put in simpler language, if x is at the top of the kite and x is the vertex of the larger angle between the top and bottom angles, then the other two angles (left and right) are equal.
In still simpler language. <W = <Y
Equation
<X + <W + <Z + <Y = 360 All quadrilaterals have 360 degrees for their interior angles.
Givens
<X = 120<W = 10x<Z = 4x <Y = 10xSolution
120 + 10x + 10x + 4x = 360 Gather like terms on the left120 + 24x = 360 Subtract 120 from both sides120- 120 + 24x = 360 - 120 consolidate 24x = 240x = 10Answer
Since <ZYX = 10x<ZYX = 10*10 = 100 degrees.Answer:
100
Step-by-step explanation:
Angle ZWX and angle ZYX are congruent.
360 = 120 + 4x + 10x + 10x
360 = 120 + 24x
240 = 24x
10 = x
The measure of angle ZYX is equal to 10(10) = 100°
Julie and Eric row their boat (at a constant speed) downstream for 40 miles in 4 hours, helped by the current. Rowing at the same rate the trip back, against the current, takes 10 hours. Find the rate of the current.
Answers
Final answer:
The rate of the boat is 7 mph and the rate of the current is 3 mph.
Explanation:
To find the rate of the current in this problem, we can use the equation:
Rate of downstream trip = Rate of boat + Rate of current
Rate of upstream trip = Rate of boat - Rate of current
Let's assign variables to the rate of the boat and the rate of the current. Let B represent the rate of the boat and C represent the rate of the current.
From the information given, we know that:
40 miles = (B + C) x 4 hours
40 miles = (B - C) x 10 hours
Now we can solve these equations to find B and C. Let's start by simplifying the equations:
40 = 4B + 4C
40 = 10B - 10C
Divide both sides of the equations by 4 and 10 respectively:
10 = B + C
4 = B - C
Add the two equations together:
10 + 4 = 2B
14 = 2B
Divide both sides by 2:
7 = B
Substitute the value of B back into one of the equations to solve for C:
10 = 7 + C
Subtract 7 from both sides:
3 = C
Therefore, the rate of the boat is 7 mph and the rate of the current is 3 mph.
Iva deposits $2,000 into an interest-bearing savings account that is compounded continuously at an interest rate of 5%. She decides not to deposit or withdraw any money after the initial deposit. We can represent the account balance of the savings account after t years by an exponential function:
A(t) = $2,000 ∙ e^0.05t.
Approximately how many years will it take for the initial deposit to double?
Answers
Answer:
13.863 years
Step-by-step explanation:
Initial deposit is $2,000.
The rate of interest is 5% compounded continuously.
The account balance of the savings account after t years by an exponential function:
A(t) = $2,000 ∙ e^0.05t.
It says to find out the time when it takes for the initial deposit to double, i.e. A(t) = $4,000
Mathematically, we can set them equal and solve for t as follows:-
A(t) = $2,000 ∙ e^0.05t = $4,000.
e^(0.05t) = 4000/2000 = 2
0.05t Ln(e) = Ln(2)
t/20 = Ln(2)
t = 20 * Ln(2) = 13.86294361
So, it takes 13.863 years for the initial deposit to double.
Answer:
hope it hepls
Step-by-step explanation:
True or False ? A remainder of 1 or more in the process of doing synthetic division tells you that you have found a root of the polynomial function and a factor of the polynomial.
Answers
Answer:
False
Step-by-step explanation:
If the value is a root of the polynomial, then the remainder will be 0. This means that the root as a factor will multiply to make the polynomial.
30 points help!!!! Plz
Answers
B) 3.1 × 10^(6)
C) 5.3 × 10^(-6)
D) 4.2 × 10^(-1)
Answer:
i took a long time figuring it out lol but here it is let me know if you got them all correct
Step-by-step explanation:
A) 3.6 × 10^(-1) B) 3.1 × 10^(6) C) 5.3 × 10^(-6) D) 4.2 × 10^(-1)