Answer:
0.50, 4/10, 1/4, 0.06
Step-by-step explanation:
1/4 = 0.25
4/10 = 0.40
Answer:
OoP NVmM SoRrY- XD
Step-by-step explanation:
^^ Hopefully this works, I'm rooting for you!
Henry rolls 2 number cubes numbered 1 through 6 while playing his favorite board game. He will get a second turn if he rolls a sum that is an even number less than 10. What are Henry's chances of getting a second turn when he rolls the number cubes? (2 points) 7 over 18 11 over 18 5 over 36 17 over 36
Henry's chances of getting a second turn when he rolls the number cubes are 1/9 or approximately 11/18.
To find Henry's chances of getting a second turn when he rolls the number cubes, we need to find the probability of rolling an even number less than 10.
First, let's find the total number of possible outcomes when rolling two number cubes. Each cube has 6 possible outcomes (1, 2, 3, 4, 5, or 6), so the total number of possible outcomes is 6 x 6 = 36.
Next, let's find the number of outcomes that meet the criteria for a second turn (even number less than 10). We can list out all the possible outcomes that meet these criteria:
2 (1+1)
4 (1+3 or 2+2)
6 (1+5 or 2+4 or 3+3)
8 (2+6 or 3+5 or 4+4)
So, there are 4 outcomes that meet the criteria for a second turn.
To find the probability, we divide the number of favourable outcomes (4) by the total number of possible outcomes (36).
4/36 = 1/9
So Henry's chances of getting a second turn when he rolls the number of cubes are 1/9 or approximately 11/18.
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Question 3
1 pts
Tim has 74 socks, all in pairs. He has 1 more pair of white socks than black socks. How many individual socks of
each color does he have?
Answer:
36 individual white socks
38 individual black socks
Step-by-step explanation:
Pairs of socks = 74
He has 1 more pair of white socks than black socks.
Take the colors of the socks to be white and black
Let
Black pairs of socks = x
White pairs of socks = x + 1
Individual socks of each color
A pair of white socks = 2 Individual white socks
= 2white
A pair of black socks = 2 individual black socks
= 2black
Total pairs of socks = black pairs of socks + white pairs of socks
74 = 2white + 2black
74 = 2(x) + 2(x +1)
74 = 2x + 2x + 2
74 = 4x + 2
Subtract 2 from both sides
74 - 2 = 4x
72 = 4x
Divide both sides by 4
x = 72/4
= 18
x = 18
Pairs of white socks = x = 18
A pair of white socks = 2whites
= 2(18)
= 36 individual white socks
Pairs of black socks = x + 1
= 18 + 1
= 19 pairs
A pair of black socks = 2black
= 2(19)
= 38 individual black socks
Thomas has 1 1/4 cans of paint. He has 3 walls to paint. How much paint can he use on each wall?
Answer:
5/12
Step-by-step explanation:
Evaluate each expression 9+2(4)
Answer:
your answer is 17
EXTRA CREDIT: Regular hexagon ABEFGH and regular quadrilateral BCDE meet at
vertices B and E and share common edge BE.
What is the measure DEF?
120
150
210
130
WILL GIVE BRAINLIST
Answer:
B.150°
Step-by-step explanation:
A regular hexagon has six sides.
The measure of the interior angle is 120°
At the point where vertices B and E share a common edge, angle BED is 90°
The sum of angle measures at point of intersection of edge BE ,ED and FE is equal to 360°
To get measure of angle DEF will be ;
=360° - {90°+120°}
=360°- {210°}
=150°
what 3x4x5x6+7=
single numbers
Answer:
367
Step-by-step explanation:
because of PEMDAS, 3, 4, 5, and 6 have to be multiplied together, then 7 can be added later.
\((3*4*5*6)=360\\\\360+7=367\)
\(\huge\text{Hey there!}\)
\(\large\boxed{\mathsf{3\times4\times5\times6+7}}\\\\\large\boxed{\mathsf{\rightarrow 12 \times 5\times6 + 7}}\\\\\large\boxed{\mathsf{\rightarrow 60\times6+7}}\\\\\large\boxed{\mathsf{\rightarrow 360 + 7}}\\\\\large\boxed{\mathsf{\rightarrow 367}}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{367}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\\\\\\\huge\boxed{\frak{Amphitrite1040}}\)
Given that log ₃(y)=11.03, log ₃(z)=7.74, and log₃(t)=5.44, find the following:
12 log ₃ ( z⁷ / y⁵t²
Round your answer to 2 decimal places as needed.
The value of the logarithm 12 log ₃ ( z⁷ / y⁵t²) is 4. 08
What is logarithm?Logarithm can simply be defined as the power or exponent to which a base must have to be raised to yield a particular number.
It is also described as the inverse function of exponentiation.
From the information given, we have;
log ₃(y) = 11.03log ₃(z) = 7.74log₃(t) = 5.44To determine the fraction 12 log ₃ ( z⁷ / y⁵t²), we need to substitute the values into the formula;
z⁷ = (7.44)^7 = 1, 664, 127. 987
y⁵ = (11.03)^5 = 163, 259. 162
t² = (5.44)^2 = 29. 594
( z⁷ / y⁵t²) = 1, 664, 127. 987/ (163, 259. 162)(29. 594)
Multiply the values
( z⁷ / y⁵t²) = 1, 664, 127. 987/ 4, 831, 491.640
Divide the values
( z⁷ / y⁵t²) = 0.34
Now,
12( z⁷ / y⁵t²)
12(0.34)
4. 08
Note: The values for the logarithms were multiplied with their exponents and then substituted into the expression as shown above.
Hence, the value is 4.08
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A piece of lumber 2.8 meters long weighs 24.5 kilograms. A piece 0.8 meter long is cut from
the 2.8-meter length. Determine the weight of the 0.8-meter piece.
The weight of the 0.8-meter piece is 19.6 kilograms.
We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.
Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:
W₁/2.8m = 24.5kg/1m
Solving for W₁, we get:
W₁ = (24.5kg/1m) x 2.8m = 68.6kg
Now we can use the same ratio to find W₂:
W₂/0.8m = 24.5kg/1m
Solving for W₂, we get:
W₂ = (24.5kg/1m) x 0.8m = 19.6kg
Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.
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TREE CLIMBING Keara climbs a tree and looks down at her friend through a pair of range finders. According to the range finders, the distance from Keara to her friend is 55 feet. If the angle of depression from Keara to her friend is 40°, how high has Keara climbed in the tree? Round to the nearest tenth of a foot. feet
Keara has climbed up to 41 feet in the tree.
How to round off a value to the nearest tenth?Rounding off a value to the nearest tenth means finding the closest multiple of 0.1 to the given value. To do this, you need to look at the digit in the hundredths place. If the digit is 5 or greater, you round the tenths place up by 1. If the digit is less than 5, you leave the tenths place unchanged. For example, to round the value 3.874 to the nearest tenth, you would look at the digit in the hundredths place, which is 7. Since 7 is greater than 5, you round up the tenths place to 8, and the rounded value is 3.9. Rounding to the nearest tenth is often used when working with measurements or values that require a certain level of precision.
According to the range finders, the distance from Keara to her friend is 55 feet and the angle of depression from Keara to her friend is 40°.
From this the following diagram can be drawn.
Now, we need to find the length of AB which will denote how high Keara climbed.
We can use the trigonometric sine function to find the length of AB,
Sin 40° = opposite side / hypotenuse = AB/ BC = AB/ 55
Hence AB = 55 × Sin 40° ≈ 40.981
That is she would have climbed approximately 41 feet.
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Find the vertical asymptote(s) of f(x)=\frac{\left(x^{2}+3x+6\right)}{x^{2}-4}
x = −1, 2
x = −2, 2
x = 1, −2
x = −1, 1
Answer:
x = −2, 2
Step-by-step explanation:
\(f(x)=\frac{\left(x^{2}+3x+6\right)}{x^{2}-4}\)
Find the horizontal asymptotes by comparing the degrees of the numerator and denominator.
Vertical Asymptotes:
x=−2,2Horizontal Asymptotes:
y=1
No Oblique Asymptotes
Full Explanation
The line x=L is a vertical asymptote of the function \( y=\frac{x^{2} + 3 x + 6}{x^{2} - 4}\) if the limit of the function (one-sided) at this point is infinite.
In other words, it means that possible points are points where the denominator equals 0 or doesn't exist.
So, find the points where the denominator equals 0 and check them.
x=−2, check: \( \lim_{x \to -2^+}\left(\frac{x^{2} + 3 x + 6}{x^{2} - 4}\right)=-\infty \)
Since the limit is infinite, then x=−2 is a vertical asymptote.
x=2, check: \(\lim_{x \to 2^+}\left(\frac{x^{2} + 3 x + 6}{x^{2} - 4}\right)=\infty\)
Since the limit is infinite, then x=2 is a vertical asymptote.
Vertical asymptotes: x=−2; x=2
How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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Please answer these 4 math questions for me! Pretty easy! need then ASAP!!!!! I have to get them right or my life is doomed! (cause my mom will kill me)
Answer:
Last one is 90 and -65, 3rd one is 120 feet i think, and i am 99% sure 2nd one is 129
Step-by-step explanation:
Answer:(16)b
(17)d
(18)a
(19)c
Step-by-step explanation:
toooo easyyyyy
1. The possible missing terms to make x²_____+100 a perfect square trinomial are
a. 4x and 25x.
b. -10x and 10x.
c. -20x and 20x.
d. -4x and -25x.
Answer:
c. -20x and 20x
Step-by-step explanation:
x² is the square of x.
100 is the square of 10 and of -10.
The middle term of (a + b)² is 2ab.
For b = 10:
2ab = 20x
for b = -10:
2ab = -20x
Answer: c. -20x and 20x
Points A, B, and C are collinear and point B lies in between points A and C. If AB = 3x + 1, BC = 15, and AC = 7x + 1, find AC. Show work please
Answer:
AC = AB + BC + AC
AC= 3×+1+15+7×+1
AC= 3x+7×+1+15+1
AC=10×+17
Find the derivative using the Power Rule and the Product Rule.Y=(-2x^4-3)(-2x^2+1)
Given the function:
\(y=(-2x^4-3)(-2x^2+1)\)\(\begin{gathered} \text{let u=-2x}^4-3 \\ \frac{du}{dx}=-8x^3-0=-8x^3 \\ \\ \text{let v=-2x}^2+1 \\ \frac{dv}{dx}=-4x+0=-4x \end{gathered}\)By applying the product rule, we have:
\(y^{^{\prime}}=V\frac{du}{dx}+U\frac{dv}{dx}\)Thus, we have:
\(\begin{gathered} y^{^{\prime}}=(-2x^2+1)(-8x^3)+(-2x^4-3)(-4x) \\ y^{^{\prime}}=16x^5-8x^3+8x^5+12x \\ y^{^{\prime}}=16x^5+8x^5-8x^3+12x \\ y^{^{\prime}}=24x^5-8x^3+12x \end{gathered}\)If the measure of angle JKP is 3r + 12 and the measure of angle PKN is 4r - 2, what is the measure of angle JKN
stephine puts 30 cubes in a box.the cubes are 1/2 inch on each side.the box holds 2 layers with 15 cubes in each layer.what is the volume of the box
The Volume of the box is 3.75in³
Volume of a cubeThe volume of the box is dependent on the volume of the cube in it.
To obtain the volume of a cube, we use the relation, V = s³
s = side of the cube
For each cubeVolume = 0.5³ = 0.125 in³
Number of cubes in box = 30
Volume of the boxVolume of each cube × Number of cubes
0.125 × 30 = 3.75 in³
Hence, the volume of the box is 3.75in³
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A triangle has an angle that measures 125°. The other two angles are in a ratio of 3:8. What are the measures of those two angles?
Answer
one angle is 15 and 40
Step-by-step explanation:
first of all, substract 125 from 180 = 55
we do ratio 3 : 8 | 11
? : ? | 55
divide 55 by 11 which gives us 5
next we have to multiply 3 and 8 by 5 which gives us 15 and 40
two numbers have these properties both numbers are greater than 8 their highest common factor is 8 their lowest common multiple is 80 find the two numbers
Answer: 8 and 80
Step-by-step explanation:
8 * 5 = 40
8 * 10 = 80
8 must be the hcf of two separate numbers. So, one of them must be 8, and the other must be greater than 8.
Multiples of 8:
8
16
24
32
40
48
56
64
72
80
The numbers on that list that multiply evenly to 80:
8, 16, 40, 80
16 is the lowest common multiple of 16 and 8
40 is the lowest common multiple of 40 and 8
80 is the lowest common multiple of 80 and 8
So the two numbers are 8 and 80; the highest common factor (HCF) is indeed 8.
The required two numbers that are greater than 8 are 10 and 16.
What is HCF?The Highest Common Factor (HCF) is the greatest number among all common factors of two or more numbers. For example, the HCF of 14 and 8 is 2.
What is LCM?The Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers in a group. For example, the LCM of 14 and 8 is 56.
Formula:Let x and y be two numbers. Then we can write
HCF of x and y × LCM of x and y = x×y
How to solve this problem?Given that HCF and LCM of the required numbers are 8 and 80 respectively. We have to find two numbers that are greater than 8. Let us assume that a and b be the required numbers.
Using above formula,
a×b = 8×80
i.e. ab = 8×2×40 = 16×40
Clearly, the HCF and LCM of 16 and 40 are 8 and 80 respectively. They are also greater than 8.
So, the required two numbers that are greater than 8 are 10 and 16.
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BRAINIEST TO WHOEVER CAN ANSWER THIS QUESTION!
Answer:B
Step-by-step explanation:
Step-by-step explanation:
This is a circle with center, h,k = 3,2 and radius = 2
circle equation is ( x-h)^2 + (y-k)^2 = r^2
so:
(x-3)^2 + (y-2)^2 = 4
Austin takes1 minute and 45 seconds to run three-quarters of a circular track. His rate of motion is
/
radians per second.
Austin's rate of motion is (1/70)π Radians per second.
To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:
ω = Δθ / Δt
Where:
ω = angular velocity (in radians per second)
Δθ = change in angular displacement (in radians)
Δt = change in time (in seconds)
We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:
s = (3/4) * 2πr
s = (3/2)πr
We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).
So, Δt = 105 seconds
Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:
Δθ = (3/4) * 2π
Δθ = (3/2)π
Therefore, Austin's rate of motion (ω) in radians per second is:
ω = Δθ / Δt
ω = [(3/2)π] / 105
ω = (3/210)π
ω = (1/70)π radians per second
So, Austin's rate of motion is (1/70)π radians per second.
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find the product in lowest terms 24/18x2/17x34/3
Answer:
Step-by-step explanation:
To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:
(24/18) * (2/17) * (34/3)
First, we can simplify the fractions by reducing any common factors in the numerators and denominators:
24/18 = (212)/(29) = 12/9 = 4/3
2/17 = 2/17
34/3 = (2*17)/3 = 34/3
Now we can multiply the simplified fractions:
(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153
The product of the given fractions in lowest terms is 272/153.
I drove 495 miles in 10
hours. What is my unit
rate?
Answer:
49.5 miles per hour
Step-by-step explanation:
495÷10=49.5miles per hour
I need help with this geometry math problem, I don’t quite understand ehe
Answer:
TRIANGLE!
Step-by-step explanation:
indeed that is a triangle
Answer:
A. 75
B. Explained below
Step-by-step explanation:
The symbol ~ means the two triangles are similar
Similar triangles have same angles and the sides are in proportion
so the ratio of each side of triangle 1 to the corresponding side of triangle 2 is the same
In ΔRST we see that it is a right triangle with hypotenuse 13 and base 5
So the height (RS) = √(13² - 5²) by the Pythagorean theorem
13² - 5² = 169 - 25 = 144
√144 = 12
So side RS = 12
Since the triangles are similar it follows that
\(\dfrac{AB}{RS} = \dfrac{BC}{ST} = \dfrac{AC}{RT}\\\\\\ \dfrac{BC}{ST} = \dfrac{12.5}{5} = 2.5\\\\\\\)
So it follows that
\(\dfrac{AB}{RS} = 2.5\\\\AB = RS \times 2.5\\\\AB = 12 \times 2.5\\\\AB = 30\\\\\)
Also
\(\dfrac{AC}{RT} = 2.5\\\\AC = RT \times 2.5 \\\\AC = 13 \times 2.5 \\\\AC = 32.5\\\\\)
So the three sides of ΔABC are AB = 30, BC = 12.5 and AC = 32.5
The perimeter = 30 + 12.5 + 32.5
= 75
B. If we were given the three sides of ΔABC (as we found in Part A), then all we have to do is find the third side of ΔRST
We know the ratio
\(\dfrac{AB}{RS} = \dfrac{BC}{5} = \dfrac{12.5}{5} = 2.5\\\\So\\\\\\\\dfrac{AB}{RS} = 2.5\\\\\)
Multiplying both sides by RS gives
\(AB = 2.5 \times RS\\\\\\\\== > 30 = 2.5 \times RS \\\\\) (we found AB = 30 from part A)
Dividing both sides of the equation by 2.5 and switching sides gives
\(RS = \dfrac{30}{2.5} \\\\RS = 12\\\\\)
So that gives the third side of ΔRST = 12 and we can find the perimeter if we wanted to by adding 12, 5 and 13 to get 30
If log10 x=2, what is the value of X
Answer:
x=100
Step-by-step explanation:
log10 x=2
10^2=x
100=x
Answer:
C
Step-by-step explanation:
\(\log_{10}x=2\\10^2=x\\x=100\)
|2x-19| = 4x + 1 helppp
Answer:
x = 9
Step-by-step explanation:
Well to find x we need to use the commutative property which is the moving of numbers and variables to either side of the equation,
|2x - 19| = 4x + 1
-2x to both sides
|-19| = 2x + 1
Absolute value of -19 is 19
19 = 2x + 1
-1 to both sides
18 = 2x
Divide 2 to both sides
x = 9
Thus,
x is 9.
Hope this helps :)
The value of x is -10 when the equation is |2x-19| = 4x + 1
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is |2x-19| = 4x + 1
Mod of two times of x minus nineteen equal to four times of x plus one.
|2x-19| = 4x + 1
2x-19=4x+1
Now add 19 on both sides
2x=4x+20
Subtract 4x on both sides
-2x=20
Divide both sides by 2
x=-10
Hence, the value of x is -10 when the equation is |2x-19| = 4x + 1
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By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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Could someone help me, 1-14 just need 1-14 answers.
The following is a conversion table for millimeters and centimeters. Which numbers belong in the millimeters column?
Cm...
1
3
5
Mm.
A. 1, 2, 3
B. 11, 12, 13
C. 10, 20, 30
B. 100, 200, 300
The required converted units of 1, 2 and 3 centimeter to milimeter is 10, 20, 30. Option C is correct.
Given that,
The table has shown the data of unit conversion,
Centimeters = 1 2 3
Millimeter = data to be identified.
In mathematics it deals with numbers of operations according to the statements.
What is unit conversion?Transformation of one unit to another unit of measure for the same entity using accumulation and divide by transformation factors is called as unit conversion. The units are represented using standard inscription and altered into numerical values as per the entities.
Since 1 cm = 10 mm
multiply by 2 gives
2 cm = 20 mm
multiply by 3 gives
3 cm = 30 mm
Thus, the required converted units of 1, 2 and 3 centimeter to milimeter is 10, 20, and 30. Option C is correct.
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which decimal is less than 0.8 and greater than 0.02
Answer:
0.02<x<0.80
0.4
Step-by-step explanation:
0.02 is equal to 2/100 and 0.8 is equal to 80/100
so you could really choose any number between 0.03 and 0.79
Answer:
Less than 0.8 and greater than 0.02
0.8 > a > 0,02
There are many decimals:
0.7
0.67
0.6
0.5
0.4
0.3
0.2
0.1
0.023
0.021
and many others