The integer values that make the statement true are x = -3, -2, -1, 1, 2, 3
We have,
We can start by multiplying both sides of the inequality by -3x to get rid of the denominators:
-3/x < -x/3
Multiplying by -3x on both sides.
-9 < -x²
Rearranging.
x² < 9
Taking the square root of both sides.
|x| < 3
This means that x can take any integer value between -3 and 3, excluding 0.
Thus,
The integer values are x = -3, -2, -1, 1, 2, 3
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Work out the area of this circle.
Take to be 3.142 and write down all the digits given by your calculator.
13 cm
Answer:132.7495cm^2
Step-by-step explanation:
The formula for the area of a circle is πr^2.
We then substitute into this formula using 3.142 as π.
This leaves us with 3.142x6.5(radius is half of diameter)^2
When you type it into your calculator it should give you
132.7495cm^2
100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!
Answer:
2,090. because Sarah has long distances and wanted to go home
solve for x and y (Hint: is this a right triangle?)
(30° angle and 5 on the opposite side if anyone couldn’t see)
Answer: c=10, b=5 root 3
Step-by-step explanation:
it is a 30-60-90 triangle (use sum of angles in a triangle theorem.)
5 is the leg oppoiste to the 30 degree, so it is half of the hypotenuse, which is c, so c=10
then just use pythagorean theorem and 100-25=75 so answer is root 75 simplified to 5 root 3
Keyboard A Keyboard B Keyboard C
Person
Person Totals (P) Overall
M = 1 M = 5 M = 6 A 6 N = 15
SS = 8 SS = 22 SS = 10 B 9 G = 60
C 18
D 12 k = 3
E 15
n = 5
Complete all calculations for the ANOVA Summary Table:
SS total, SS within, SS between treatments, SS between subjects, and SS error
df total, df within, df between treatments, df between subjects, and df error
MS between treatments and MS error
the F ratio
Then:
Find critical value for F based on df between treatments and df error, and decide if F ratio is significant or not.
Tukey's HSD is 2.0. Determine which keyboards are significantly different from one another in the number of errors people make and summarize the results.
Keyboards A and B are significantly different from one another
How to explain the informationThe F ratio has been found to be 4.30, equating to the MS between treatments divided by MS error resulting in a value of 2082/484. In order to seek out the critical value for F at an alpha level of 0.05 within degrees of freedom between treatments (2) and degrees of freedom error (3), we must consult the F-table, revealing it to be 5.14.
We reach the conclusion that rejecting the null hypothesis would not prove necessary as there appears to be no great significance when it comes down to the number of errors made with the three concerned keyboards.
Tukey's HSD signifies 2.0, indicating any distinction of means exceeding such scores is considered noteworthy. Calculating pairwise comparisons can enlighten us as to which keyboards are significant from one another:
Comparing Keyboard A versus Keyboard B: The difference was calculated using |25-6| / ✓(484/6*(1/6+1/6)) = 3.03, determining its significance surpassing Tukey's HSD (2.0).
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Solve for measure of angle a.
a
96°
140°
a = [?]°
If 2 secant lines intersect outside a circle:
Enter
2-b
The measure of angle a is solved to be 22 degrees
How to find angle aWhen two secant lines intersect outside a circle the formula for the vertex angle at a is
To find the vertex angle at point A where two secant lines intersect outside a circle, you can use the following formula:
angle A = 1/2 * (measure of arc 1 - measure of arc 2)
let arc 1 = 140 degrees
arc 2 = 96 degrees
plugging in the values
angle A = 1/2 * (140 - 96)
angle A = 1/2 * 44
angle A = 22 degrees
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for question 6 is wax and yau are verticle or not
In the given diagram, angle WAX and angle YAU are vertical angles
What are vertically opposite angles?From the question, we are to determine if angles WAX and YAU are vertical angles or not
Vertically opposite angles are pairs of angles that are opposite each other and formed by the intersection of two straight lines.
When two straight lines intersect, they form four angles at the point of intersection. Vertically opposite angles are the angles that are opposite each other, that is, they are located on opposite sides of the intersection point and are formed by the pair of opposite rays.
Vertically opposite angles are congruent, which means that they have the same angle measure. This property holds true for any pair of vertically opposite angles, regardless of the angle size or the orientation of the lines.
Hence, angle WAX and angle YAU are vertical angles
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1. Convert the following Mayan numbers to decimal (base 10).
b)
||:
:|| || ()
The given Mayan number which is: :|| :|| in decimal (base 10) is 42.
How to solveThe Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).
In order to obtain the decimal equivalent (base 10) of a Mayan numeral, it is imperative to comprehend the positional significance of each constituent symbol.
The numerical system employed here assigns a weight to each digit that corresponds to a certain power of 20. Specifically, the weight associated with the least significant digit is 20 raised to the exponent of 0, while the weight of the digit to its immediate left is 20 raised to the exponent of 1, and so forth.
The Mayan number given, : :|| :||, can be broken down as follows:
The leftmost position has no symbol, which represents a value of 0.
The second position from the left has two shell-like symbols (:), which represent a value of 2x20¹ = 40.
The third position from the left has two horizontal bars (||), which represent a value of 2x20⁰ = 2.
The given Mayan number in decimal (base 10) is 40 + 2 = 42.
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please help
What is the distance to the earth’s horizon from point P?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
x =
mi
The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.
How to find the distance to the earth horizon from a given point
In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:
x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]
x = 284.372 mi
The distance x is equal to 284.372 miles.
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Consider the bridge shown. Use the figure and the fact that AGC is congruent to EGC to complete parts (a) through (e). Round each answer to the nearest tenth
Therefore, the width of the bridge is approximately 5.9 feet. Therefore, the height of the bridge is approximately 8.4 feet. Therefore, the length of CH is approximately 36.9 feet. Therefore, the measure of angle BHC is approximately 189 degrees. Therefore, the answer to part (e) is no.
What is triangle?A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry, and is formed by connecting three non-collinear points. The sum of the interior angles of a triangle is always 180 degrees, and there are several types of triangles including equilateral, isosceles, and scalene.
Here,
To solve this problem, we will use the fact that AAGC is congruent to AEGC. This means that angle ACG is equal to angle AEC, and angle AGC is equal to angle AEG.
(a) To determine the width AE of the bridge, we can use the tangent function. We have:
tan(27°) = AE/12
Solving for AE, we get:
AE = 12 tan(27°) ≈ 5.9 ft
(b) To determine the height CG of the bridge, we can use the same approach. We have:
tan(36°) = CG/12
Solving for CG, we get:
CG = 12 tan(36°) ≈ 8.4 ft
(c) To determine the length of CH, we can use the Pythagorean theorem. We have:
CH² = CG² + GH²
Substituting the values we found earlier, we get:
CH² = (8.4 ft)² + (40 ft - 5.9 ft)²
CH² = 70.56 ft² + 1288.41 ft²
CH² = 1358.97 ft²
Taking the square root, we get:
CH ≈ 36.9 ft
(d) To determine the measure of angle BHC, we can use the fact that angles AGC and AEG are congruent. We have:
angle BHC = 180° - angle AHC - angle CHB
angle AHC = angle ACG - angle HCG = 27° - 36° = -9° (note that this is a negative angle because it is measured clockwise)
angle CHB = angle CGB - angle HCG = 36° - 36° = 0°
Substituting these values, we get:
angle BHC = 180° - (-9°) - 0°
angle BHC = 189°
(e) To determine whether CH bisects angle ZACG, we need to show that angle CAH is congruent to angle CAG. We have:
angle CAH = 180° - angle HCG - angle ACG
= 180° - 36° - 27°
= 117°
angle CAG = 180° - angle ACG - angle AGC
= 180° - 27° - 27°
= 126°
Since angle CAH is not congruent to angle CAG, we can conclude that CH does not bisect angle ZACG.
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1737x+642y=3 x and y are integers
Help me please I got an exam tomorrow
Answer:
Domain(-infinity,infinity) Range(-infinity,infinity) Zeros(0,0), (-4,0), (8,0) and (4,0) y-intercept at 0, even, y-axis, 2, -4
Step-by-step explanation:
qwtq4rg
What is 10500-8395______
Answer:
2105, plug it into calculator
Shirley returned from Canada with $23 445 and converted the dollars to kina at the Jacksons International Airport Calculate the amount in kina he received at rate of exchange of K1 (2 marks) CASO 4689 ?
Complete the following using compound future value. (Use the Table provided.)
Note: Do not round intermediate calculations. Round your final answers to the nearest cent.
Time
6 years
Principal
$ 15,300
Rate
8 %
Compounded
Quarterly
What is amount &
Interest?
The total is $24,947.06 plus $9,647.06 in compound interest.
Define compound interest?One way to earn or pay interest on interest is through compound interest. It denotes that interest will be charged on both the main amount and the accrued interest in the subsequent period. Savings or investments can expand over time with the aid of compound interest.
We can use the following formula to determine compound future value:
FV = P * (r/n + 1)(n*t)
where P is the principal, r is the yearly interest rate, n is the number of times interest is compounded annually, and t is the amount of time in years.
Your values have led us to:
FV = 15300 * (1 + 0.08/4)²⁴
FV = $24,947.06
The total is $24,947.06 plus $9,647.06 in interest.
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PLS HELP
The number of hours a student spent studying each week for 9 weeks is shown.
9, 4.5, 8, 6, 9.5, 5, 6.5, 14, 4
What is the value of the range for this set of data?
Solve for the missing side in each triangle
Answer:
6[tex]\sqrt{13}[/tex]
Step-by-step explanation:
a^2+b^2=c^2 c is hypotenuse, which is what we're looking for
12^2+18^2=c^2
144+324=c^2
c=[tex]\sqrt{468}[/tex]=[tex]\sqrt{36*13}[/tex]=6[tex]\sqrt{13}[/tex]
Statistics!
Express the original claim in symbolic form
When expressed in symbolic form, the original claim would then be H ₀: μ = 68. 9 bpm.
How to represent in symbolic form ?One common approach to express a hypothesis in symbolic form is through the application of logical symbols including "if-then" statements. This symbolized portrayal can be instrumental in directing the design of an experiment aimed at assessing its validity.
The null hypothesis is represented as H₀, with μ describing the mean pulse rate for male adults within the population. The underlying assertion suggests that on average adult males possess a pulse rate equivalent to 68.9 bpm.
H ₀: μ = 68. 9 bpm.
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Toby throws a coin 2 times.
The outcome of each throw is either Heads (H) or Tails (T).
List all the possible outcomes of the 2 throws.
Use the letters H and T in your listing (eg. HH, ...).
Answer:
HH
HT
TH
TT
Step-by-step explanation:
Answer:
TT, TH, HT, HH
Step-by-step explanation:
determine the values of the six trigonometric functions of (- pi / 2 )
with work shown please.
Answer:
[tex]\circ \quad sin\left(-\dfrac{\pi}{2}\right) = -1\\\\[/tex]
[tex]\circ \quad \cos \left(-\dfrac{\pi }{2}\right)= 0\\\\[/tex]
[tex]\circ \quad \tan \left(-\dfrac{\pi }{2}\right) = -\dfrac{1}{0}[/tex] is not defined
[tex]\circ \quad \csc\left(-\dfrac{\pi }{2}\right) =-1\\\\[/tex]
[tex]\circ \quad \sec\left(-\dfrac{\pi }{2}\right) = \dfrac {1}{0}\\[/tex] is not defined
[tex]\circ \quad \cot\left(-\dfrac{\pi}{2}\right) =\:0[/tex]
Step-by-step explanation:
[tex]\text{Values of trig functions for $-\dfrac{\pi}{2}$ are: }\\\\[/tex]
[tex]\circ \quad sin\left(-\dfrac{\pi}{2}\right) = - sin\left(\dfrac{\pi}{2}\right) = -1\\\\[/tex]
[tex]\circ \quad \cos \left(-\dfrac{\pi }{2}\right)=\cos \left(\dfrac{\pi }{2}\right) = 0\\\\[/tex]
[tex]\circ \quad \tan \left(-\dfrac{\pi }{2}\right) = \dfrac{sin\left(-\dfrac{\pi}{2}\right)}{cos\left(-\dfrac{\pi}{2}\right) } = \dfrac{-1}{0}[/tex]
This is undefined since division by zero is undefined
[tex]\circ \quad \csc\left(-\dfrac{\pi }{2}\right) = \dfrac{1}{sin\left(-\dfrac{\pi }{2}\right)} = \dfrac{1}{-1} =-1\\\\[/tex]
[tex]\circ \quad \sec\left(-\dfrac{\pi }{2}\right) = \dfrac{1}{\cos\left(-\dfrac{\pi }{2}\right)} = \dfrac {1}{0}[/tex]
This is undefined
[tex]\circ \quad \cot\left(-\dfrac{\pi}{2}\right) = \dfrac{cos\left(-\dfrac{\pi }{2}\right)}{sin\left(-\dfrac{\pi }{2}\right)}\:=\:\dfrac{0}{-1\:}=\:0[/tex]
El área del hexágono regular cuyo lado mide 1 cm es?
Answer:
Respuesta: 2,25 cm cuadrados
Explicación paso a paso:
PERIMETRO: 6
APOTEMA: 0,75
AREA DEL HEXAGONO REGULAR: 6 X 0,75 / 2 = 2,25 CM CUADRADOS
Step-by-step explanation:
difference of the place value of two sevens in 357476 is = to what
Step-by-step explanation:
Count numbers
There are six numbers that counted in
Thousands and tens
The number is 357476 which is three hundred and fifty seven thousands, four hundred and 76
To find the answer you cancel 35 and remains with 7 the other numbers 4 and 6 you turns them into zeros and remain with seven
Thousands and tens is the answer of placing a value of two sevens.
Mr. and Mrs. Tran hope to send their son to college in twelve years. How much money should they invest now at an interest rate of 8.5% per year, compounded continuously, in order to be able to contribute $9000 to his education?
$3988.71 should be invested by them to be able to contribute $9000 to his education.
We can use the continuous compound interest formula:
[tex]A = Pe^{(rt)[/tex]
where A is the future value, P is the present value, r is the interest rate, and t is the time in years.
We know that A = $9000, r = 0.085 (8.5% expressed as a decimal), and t = 12.
Solving for P, we get:
[tex]P = A / e^{(rt)}\\\\P = 9000 / e^{(0.085*12)}\\\\P = \$ \ 3988.71[/tex]
Therefore, Mr. and Mrs. Tran should invest approximately $3988.71 now in order to have $9000 in twelve years, assuming continuous compound interest at a rate of 8.5% per year.
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Each day for 47 days, Zara predicted whether or not it would snow.
The frequency tree below shows her predictions and whether it snowed or not.
On what fraction of the days when it snowed was Zara's prediction correct?
Give your answer in its simplest form.
Predicted weather
Snow
No snow
19
Actual weather
Snow 15
No snow
Snow
No snow
math
imaginelearning.com/lesson player/essons/1129/
Two wading pools are being filled at the same time.
The orange pool contains 4 gallons when it starts willing at a rate of 4 galtons a minute.
The blue pool fills at a rate of 5 gallons a minute.
How should the axis be labeled?
The z-axis should be labeled
How should the y-axis be labeled?
The yaxis should be labeled
What does the slope of each line represent?
The slope of each line represents the
What should the x axis be labeled
What is the y axis labeled
What does the slope line of each represent
What does the y intercept of each line represent
What does the slope line of each represent?
The slope line represents the constant change in value.
What does the y intercept of each line represent
The y-intercept indicates the y-value when the x-value is 0.
For f(x)=3x+4 and g(x)=x^2 find the following composite functions and state the domain of each.
The composite functions are:
a) f ∘ g = 3x² + 4, with domain of all real numbers.
b) g ∘ f = 9x² + 24x + 16, with domain of all real numbers.
c) f ∘ f = 9x + 16, with domain of all real numbers.
d) g ∘ g = x⁴, with domain of all real numbers.
To find the composite functions, we need to substitute the function g into the function f or vice versa, depending on the order of composition. The resulting composite function will have a domain that is restricted by the domains of the individual functions involved.
a) To find f ∘ g, we substitute g(x) = x² into f(x) = 3x + 4:
f(g(x)) = 3g(x) + 4 = 3x² + 4
The domain of f ∘ g is all real numbers because the domain of g(x) = x² is all real numbers.
b) To find g ∘ f, we substitute f(x) = 3x + 4 into g(x) = x²:
g(f(x)) = (3x + 4)² = 9x² + 24x + 16
The domain of g ∘ f is all real numbers because the domain of f(x) = 3x + 4 is all real numbers.
c) To find f ∘ f, we substitute f(x) = 3x + 4 into f(x) = 3x + 4:
f(f(x)) = 3f(x) + 4 = 3(3x + 4) + 4 = 9x + 16
The domain of f ∘ f is all real numbers because the domain of f(x) = 3x + 4 is all real numbers.
d) To find g ∘ g, we substitute g(x) = x² into g(x) = x²:
g(g(x)) = (x²)² = x⁴
The domain of g ∘ g is all real numbers because the domain of g(x) = x² is all real numbers.
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In ΔSTU, t = 260 cm, u = 850 cm and ∠S=166°. Find the area of ΔSTU, to the nearest square centimeter.
Answer:
1,110
Step-by-step explanation:
it's that because I added it all up in got thatv
After 2 hours, 36% of a certain element remains. If a sample has an initial amount of 100 grams, how many hours will it take until only 1 gram remains? Provide an answer supported by valid mathematical reasoning and/or calculations.
It will take approximately 12.85 hours until only 1 gram of the element remains.
If after 2 hours, 36% of the initial amount remains, then the remaining amount is 0.36 times 100 grams, which is 36 grams. Let's define the amount of the element remaining after time t in hours as R(t). Since the element is decaying exponentially, we can model it with the equation R(t) = 100[tex](0.36)^t[/tex].
We want to find how many hours it will take until only 1 gram remains. We can set R(t) equal to 1 gram and solve for t:
1 = 100[tex](0.36)^t[/tex]
Taking the logarithm of both sides, we get:
ln(1) = ln(100[tex](0.36)^t[/tex])
0 = ln(100) + t*ln(0.36)
t = -ln(100)/ln(0.36)
Using a calculator, we find that t ≈ 12.85 hours.
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Solve for x:
|x|+8 = -3
Answer:
No Solution
Step-by-step explanation:
Because this solution deals with absolute value equations.
Angela says she drew a square, and
the square shows 2/2of a whole. Draw to show how
the whole could look. Describe how you decided
how the whole could look.
To decide how the whole could look, I used the information given in the statement that Angela drew a square representing 2/2 of a whole. This tells me that Angela's square represents the entire whole.
What is the square about?If Angela drew a square that shows 2/2 of a whole, it means that the square represents the entire whole.
To show how the whole could look, we can draw a larger square around Angela's square. This larger square would represent the whole, and Angela's square would be a part of it.
Based on this information, I determined that the whole could be represented by a larger square that encompasses Angela's square. The size of the larger square would be such that the area of Angela's square is equal to 1 whole unit, since Angela's square represents 2/2 or 1 whole unit of the whole.
Therefore, I drew a larger square that has the same area as 1 unit and enclosed Angela's square within it. This larger square represents the entire whole, and Angela's square is a part of it. (Image attached)
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Solve for k and graph the solution. 0≥ k+14 3 > – 2
The graph of the solution set for the inequality -14 ≥ k > -20 is on the image at the end.
How to solve the inequality for k?To do this we just need to isolate the variable k in the middle.
We start with:
0 ≥ (k+14)/3 > – 2
We can multiply both sides by 3:
3*0 ≥ (k+14) > – 2*3
0 ≥ (k+14) > - 6
Now subtract 14 in both sides:
-14 ≥ k > -6 - 14
-14 ≥ k > -20
Then we need to draw an open circle at k = -20 and a closed circle at k = -14, and connect them with a line, like in the image below.
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