A digit that makes the number 6,197,34_ divisible by 6 is given as follows:
0.
(6 is another possible answer).
What is the rule for divisibility by six?A number is said to be divisible by six when it is:
Divisible by 2.Divisible by 3.A number is divisible by 2 when it is an even number, meaning that it finishes in either 0, 2, 4, 6 or 8.
A number is divisible by 3 when the sum of the digits is a multiple of 3.
The sum of the digits is given as follows:
6 + 1 + 9 + 7 + 3 + 4 + x = 30 + x.
Hence with a final digit of zero or six, the number is divisible by six.
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I need some help pretty please
Answer:
F(2)= 3
Step-by-step explanation:
The graph shows f(x). The absolute value function g(x) is described in the table.
The graph shows a v-shaped graph, labeled f of x, with a vertex at 0 comma negative 1, a point at negative 1 comma 0, and a point at 1 comma 0.
x g(x)
−4 6
−2 4
0 2
2 4
4 6
If g(x) = f(x) + k, what is the value of k?
k = −3
k = −2
k = 2
k = 3
The value of k, in the absolute function g(x) = f(x) + k is 3.
The correct option is k = 3.
The vertex of the graph of f(x) is at (0, -1).
This means that f(0) = -1.
To make g(x) = f(x) + k, we need to add k to every y-value of the graph of f(x).
Since f(0) = -1, we want g(0) = f(0) + k = -1 + k.
Looking at the table of values for g(x), we see that g(0) = 2.
Therefore, we have:
-1 + k = 2
Solving for k, we get:
k = 3
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a cylinder has a diameter of 10 cm. what might its volume be? give the radius, area of base, and height for 4 possible volumes. give me a step-by-step explanation so I know how to do it.
Step-by-step explanation: i dont have an explenation but i think its 2
find the length of the curve. r(t) = cos(7t) i + sin(7t) j + 7 ln(cos(t)) k, 0 ≤ t ≤ π/4
To find the length of the curve given by r(t) = cos(7t) i + sin(7t) j + 7 ln(cos(t)) k, 0 ≤ t ≤ π/4, we need to use the formula for arc length:
L = ∫[a,b] √[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 dt
In this case, we have:
dx/dt = -7 sin(7t)
dy/dt = 7 cos(7t)
dz/dt = -7 sin(t) / cos(t)
So,
[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 = 49 sin^2(7t) + 49 cos^2(7t) + 49 sin^2(t) / cos^2(t)
= 49 [sin^2(7t) + cos^2(7t) + sin^2(t) / cos^2(t)]
= 49 [1 + sin^2(t) / cos^2(t)]
Now, using the identity sin^2(t) + cos^2(t) = 1, we can rewrite this as:
[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 = 49 cos^2(t)
Therefore, the length of the curve is:
L = ∫[0,π/4] √[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 dt
= ∫[0,π/4] 7 cos(t) dt
= 7 [sin(t)]|[0,π/4]
= 7 sin(π/4) - 7 sin(0)
= 7 (√2/2)
= 7√2/2
So the length of the curve is 7√2/2.
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Brandon estimated that he would spend $35 on his ticket and snacks at a baseball game with his friends. Happily, he only spent $28. What is the percent error for Brandon's estimate?
Answer:
25%
Step-by-step explanation:
The percent error can be calculated using the formula:
(percent error) = [(|estimated value - actual value|) / actual value] x 100%
In this case, the estimated value is $35, and the actual value is $28. Therefore:
(percent error) = [(|35 - 28|) / 28] x 100%
(percent error) = (7 / 28) x 100%
(percent error) = 0.25 x 100%
(percent error) = 25%
Therefore, Brandon's estimate had a percent error of 25%.
every year a laptop is worth 1/3 of what it was worth for each year previous. if you have a $600 laptop, how much is it worth after 15 years?
The laptop will be worth $0.001286 after 15 years if its worth becomes 1/3 each year.
We can solve this problem by using the formula for geometric sequences,
an = a₁r^(n-1), here in this case, an is the worth of the laptop after n years, r is the rate at which the worth is changing that 1/3 in this case and a₁ is the value of the laptop currently. Substituting the given values, we get:
a₁₅ = 600(1/3)¹⁵⁻¹
a₁₅ = 600(1/3)¹⁴
a₁₅ = 600x0.0000021433
a₁₅ = 0.001286
Therefore, after 15 years, the laptop is worth approximately $0.001286.
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Look at the figure if tan x=6/g and sin x =6/h what is the value of cos x?
The value of cos x is determined as g/h.
What is the value of cos x?The value of cos x is calculated by applying trigonometry identity as follows;
in trig identity tan x = sin x / cos x
From the question, the value of tan x = 6/g, and
the value of sin x = 6/h
The value of cos x is calculated by applying the trig identity of tan x as follows;
tan x = sin x / cos x
cos x = sin x / tan x
cos x = (6 / h ) / (6/g)
cos x = 6/h x g/6
cos x = g/h
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Find the circumference of this circle
using 3 for TT.
C≈ [?]
15
C = 27T
Enter
The circumference of the circle is 26π.
We have,
Radius = 15
And,
The circumference of the circle.
= 2πr
Now,
Substituting r = 13.
The circumference of the circle.
= 2πr
= 2π x 13
= 26π
Thus,
The circumference of the circle is 26π.
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I need help please I really need to pass this lesson
The equation that matches the given statement can be identified using transposition-method.
a)2 + 2y = y ⇒ Subtract 2y on both sides.
b)5(y - 4 ) = 2y ⇒ Distribute 5
c)5y = 10 - 2y ⇒ Add 2y to both sides.
d)5 = 25y ⇒ Divide both sides by 25
What is transposition-method?
Using the Transposition Method, one variable linear equations can be solved. There are situations when an equation's two sides have both constants and variables. In these situations, we first simplify the two sides into their simplest forms before transposing phrases containing variable on the RHS to the LHS and constant terms on the LHS to the RHS.
Given equations are:
2 + 2y = y
5(y - 4 ) = 2y
5y = 10 - 2y
5 = 25y
a)2 + 2y = y
to solve the equation in least number of steps, we need to Subtract 2y on both sides.
2+2y-2y=y-2y
2=-y
b)5(y - 4 ) = 2y
to solve the equation in least number of steps, we need to Distribute 5
5y - 40 =2y
c)5y = 10 - 2y
to solve the equation in least number of steps, we need to Add 2y to both sides.
5y+2y=10-2y+2y
7y=10
d)5 = 25y
to solve the equation in least number of steps, we need to Divide both sides by 25
5÷25 = 25y ÷25
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a frog swims 8 miles downstream in 2 hours. she returns upstream in 14 hours. how fast does the frog swim in still water?
The frog's speed in still water is 2.2857 miles per hour.
Let's call the frog's speed in still water "s", and the speed of the current "c".
When the frog is swimming downstream, its effective speed is the sum of its speed in still water and the speed of the current. So the distance it covers in 2 hours is:
distance = speed x time
8 = (s + c) x 2
Simplifying this equation, we get:
s + c = 4
When the frog is swimming upstream, its effective speed is the difference between its speed in still water and the speed of the current. So the distance it covers in 14 hours is:
distance = speed x time
8 = (s - c) x 14
Simplifying this equation, we get:
s - c = 0.5714
Now we have two equations with two unknowns:
s + c = 4
s - c = 0.5714
We can solve for s (the frog's speed in still water) by adding these two equations:
2s = 4.5714
s = 2.2857
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Writing Equations of Parallel Lines On a coordinate plane, a line goes through (negative 6, 8) and (2, 6). A point is at (negative 2, negative 4). What is the slope of the line that is parallel to the given line and passes through the given point? What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point? What is the y-intercept of the line that is parallel to the given line and passes through the given point?
The slope of the line that is parallel to the given line is -1/4, the equation of the line in point slope form is equal to y-4=-1/4(x+2) and y intercept is -4.5
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The slope of line passing through (-6, 8) and (2, 6)
slope = 6-8/2+6
=-2/8 = -1/4
If two lines are parallel, then their slopes are equal
so The slope of the line that is parallel to the given line is also -1/4
The equation of the line in point slope form is equal to
y-y₁=m(x-x₁)
(-2, 4) is the point and m is -1/4
y-4=-1/4(x+2)
y-4=-1/4(0+2)
y=-4.5
Hence, the slope of the line that is parallel to the given line is -1/4, the equation of the line in point slope form is equal to y-4=-1/4(x+2) and y intercept is -4.5
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Find the area of the shaded segment of the circle
The area of the shaded sector of the circle is 3π ft².
What is the area of the shaded sector of the circle?A sector of a circle is simply a region bounded by two radii of the circle and an arc of the circle.
The area of a sector can be found using the formula:
A = (θ/360) × πr²
Where A is the area of the sector, θ is the central angle in degrees, r is the radius of the circle, and π is pi.
From the image:
Central angle θ = 360° - 90° = 270°
Radius r = 2ft
Plug the given values into the above formula and solve for area.
A = (θ/360) × πr²
A = (270/360) × π × (2ft)²
A = (270/360) × π × 4ft²
A = 3/4 × π × 4ft²
A = 3π ft²
Therefore, the area is 3π ft².
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Name the SI Units for length, mass, time, current, amount of substance, temperature and luminous intensity. Also give their symbols. Also, what are angstroms?
The SI units for the quantities you mentioned are:
1. Length: The SI unit for length is the meter (m).
2. Mass: The SI unit for mass is the kilogram (kg).
3. Time: The SI unit for time is the second (s).
4. Electric current: The SI unit for electric current is the ampere (A).
5. Amount of substance: The SI unit for the amount of substance is the mole (mol).
6. Temperature: The SI unit for temperature is the kelvin (K).
7. Luminous intensity: The SI unit for luminous intensity is the candela (cd). An angstrom (symbol: Å) is a unit of length equal to 10^(-10) meters or 0.1 nanometers. It is often used to express the sizes of atoms and molecules.
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On the grid draw the line with the equation x=-3
The guidance department has reported that of the senior class, 2.3 % are members of Key Club, K, 8.6 % are enrolled in AP Physics, P, and 1.9 % are in both. What is the probability of P given K?
The probability of being enrolled in AP Physics given of Key Club is equal to 0.826, or 82.6%.
Probability of member of key club 'K'= 2.3%
Probability of enrolled in AP Physics, P = 2.3%
Probability of both = 1.9%
Use the formula for conditional probability to find the probability of P given K,
P(P|K) = P(P ∩ K) / P(K)
where P(P ∩ K) represents the probability of being in both P and K,
and P(K) represents the probability of being in K.
Here,
since 2.3% of the senior class are members of Key Club
⇒ P(K) = 0.023
Since 1.9% of the senior class are in both P and K.
⇒ P(P ∩ K) = 0.019
Substituting these values into the formula for conditional probability, we get,
P(P|K) = P(P ∩ K) / P(K)
= 0.019 / 0.023
≈ 0.826
Therefore, the probability of being enrolled in AP Physics given that a senior is a member of Key Club is approximately 0.826, or 82.6%.
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A) 500 people are asked to name their favorite color. The results of this survey are shown in the pie chart below:
Each sector of the pie chart makes an angle at the center. For example, the yellow sector makes an 18 degree angle, since an 18 degree angle is 5% of 360 degrees.
Which sector makes an angle closest to 40 degrees? (Your answer should be a color word.)
B) How many people surveyed did not choose a rainbow color (red, orange, yellow, green, blue, or purple) as their favorite?
C) If we consider only the people who named a rainbow color (red, orange, yellow, green, blue, or purple), what percentage of those people preferred red?
Purple is the color with an angle closest to the 40 degrees; 175 people did not choose a rainbow color; the percentage of people that prefer red is 20%.
Which sector makes an angle closest to 40 degrees?By considering a circle is 360°, let's analyze the percentage 40 degrees would represent.
40/360 x 100% =11.1%
This percentage is closer to the purple color.
How many people surveyed did not choose a rainbow color?People surveyed:: 500
The percentage that did not choose a rainbow color: 35%
500 x 0.35 =175 people
What percentage of people choosing a rainbow color preferred red?Percentage of people who chose a rainbow color:64%
Percentage that chose red: 13%
13 x 100/ 64 = 20.3%
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A large business took in 7 million dollars in insurance premiums and paid out 5.9 million in medical claims. Did this business meet the minimum MLR?
Answer:
Step-by-step explanation:
A bathtub is in the shape of a rectangular prism. The volume of the bathtub is 72 cubic feet. The area of the base of the bathtub is 24 square feet.
What is the height of the bathtub in feet?
A. 3ft
B. 4ft
C. 9ft
D. 6ft
Answer:
3ft or option A.
Step-by-step explanation:
The formula for the volume of a rectangular prism is V = lwh, where l, w, and h represent the length, width, and height, respectively.
In this problem, we are given that the volume of the bathtub is 72 cubic feet and the area of the base is 24 square feet. We can use the formula for the volume to solve for the height.
V = lwh
72 = 24h
Simplifying the equation, we get:
3 = h
Select the equivalent expression.
4-3 =?
Choose 1 answer:
A
B
1
43
-4³
4
Answer:
Number A.
Step-by-step explanation:
Law of indices.....
For Exercises 1-4, in OA, m/BAD = 90, MEG = 90,
and BC= FE.
B
1. Find mLEAG. 90°
E
A 90
F
G
D
1. The value of angle EAG is 90⁰.
2. The value of arc BD is 90⁰.
3. The angle that is congruent to angle BAC is ∠ EAF
4. The segment that is congruent to line BD is | EG |.
What is the value of angle EAG?
The value of angle EAG is calculated as follows;
m∠EAG = m∠BAD ( congruent triangles )
m∠EAG = 90⁰
The value of arc BD is calculated as follows;
arc BD = m∠BAD (intersecting chord theorem)
arc BD = 90⁰
The angle that is congruent to angle BAC is determined as follows;
∠BAC ≅ ∠ EAF
The segment that is congruent to line BD is determined as;
| BD | ≅ | EG |
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If the cos 36° = three fourths, then the sin 54° = _____. one half, because the angles are complementary 4 over 3, because the angles are supplementary three fourths, because the angles are complementary 1, because the angles are complementary
the answer is 4/3, because the angles are complementary".
What is Trigonometric Functions?
Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.
To find the value of sin 54°, we can use the identity: sin 54° = cos (90° - 54°).
Since the angles are complementary, we know that cos 36° = sin (90° - 36°) = sin 54°.
We are given that cos 36° = three fourths, so we can substitute this value in the above equation to get:
sin 54° = cos (90° - 36°) = cos 54° = three fourths / sin 36°
We know that sin²x + cos²x = 1, so we can solve for sin 36°:
sin²36° + (3/4)² = 1
sin²36° = 1 - (3/4)² = 7/16
sin 36° = √(7/16)
Now we can substitute the value of sin 36° in the equation for sin 54°:
sin 54° = (3/4) / √(7/16) = 4/3
Therefore, the answer is "four thirds, because the angles are complementary".
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Rachel's Auto Wash had revenues of $10 from 2 customers. In all, how many customers does Rachel's Auto Wash need to serve in order to have a total of $25 in revenue? Solve using unit rates
Answer:
5
Step-by-step explanation:
if two equals 10 then 5 makes 25
Carlos plots a circular planter's wall on a computer. He determines that the circle that defines the part of the planter wall that gets watered by the sprinkler is (x−10)2+(y+12)2=36.
What is the diameter, in meters, of the circular area that gets watered by the sprinkler?
a. 36 m b. 12 m c. 6 m d. 3 m
The diameter of the circle is 12 m. (b) is the correct option.
Comparing with the general form of the circle's equation.
Since r² = 36, the preceding equation describes a circle with a radius of 6 units and a center at (10, -12). The circle's diameter is equal to twice its radius, or:
2 × 6 = 12
Thus, the circle that the sprinkler waters has a 12-metre diameter.
Option (b) 12 m is the correct response, therefore.
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Answer:12m
Step-by-step explanation:
I took the test lolz
Find the minimum value of c=x+y subject to the following constraints 2x+y>=20, 2x+3y>=0, x>=0, y>=0
Answer:
10
Step-by-step explanation:
You want the minimum value of c = x +y, subject to the constraints {2x +y ≥ 20, 2x +3y ≥ 0, x ≥ 0, y ≥ 0}.
GraphThe attached graph shows the relevant vertices of the feasible region are (0, 20) and (10, 0). The value of c is minimized when (x, y) = (10, 0). At that point, c = 10 + 0 = 10.
The minimum value of c is 10.
2² - 10z 11 = 0
Determine which equation has the same solutions as the given equation.
A.
(25)2 = 36
B.
(z 10)² = 21
O c.
(5)2 = 21
O D. (10)² = 36
The equation that has the same solution as x² - 10x - 11 = 0 is (x - 5)² = 36
Determining which equation has the same solutionsFrom the question, we have the following parameters that can be used in our computation:
x² - 10x - 11 = 0
Rewrite as
x² - 10x = 11
Add to both sides the square of half the coefficient of x
So, we have
x² - 10x + (-10/2)² = 11 + (-10/2)²
Evaluate
x² - 10x + 25 = 36
So, we have
(x - 5)² = 36
Hence, the equation is (x - 5)² = 36
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Find the solution to the given system of linear equations using substitution.
x + 3y = -16
-4x - 3y = 10
Solution:
Answer:
(2,-6)
Step-by-step explanation:
x=2 y=-6
Sickle cell anemia is known to run in a family. A pedigree chart for this family is shown below.
The parents are shown at the top and from left to right appear as a half-shaded circle next to a half-shaded square. The two are connected by a straight line. Below the parent pair is a vertical straight line connecting to the next row of circles and squares which are the offspring. Starting from left an unshaded square, half-shaded circle, another half-shaded circle, and a completely shaded square are shown. All of these are also connected by a horizontal straight line.
What percentage of the offspring have sickle cell anemia?
0%
25%
50%
100%
Determine the magnitude.
Answer: 13.5, 44.3
Step-by-step explanation:
You need to break up in to x and y parts of vector, then put back together.
uy=8sin50 =6.13
ux=8cos50=5.14
vy=6sin40=3.86
vx=6cos40=4.60
add x and y's
||u+v||=<9.99, 9.74> = 13.5
tan∅=9.74/9.99
∅=44.3
7 yards and 11 feet = how many feet?
Answer:
32 feet.
Step-by-step explanation:
We can convert 7 yards to feet and add it to 11 feet to get the total distance in feet.
1 yard is equal to 3 feet, so 7 yards is equal to:
7 yards * 3 feet/yard = 21 feet
Adding 11 feet to this, we get:
21 feet + 11 feet = 32 feet
Therefore, 7 yards and 11 feet is equal to 32 feet.
Answer:
There are 32 feet in 7 yards and 11 feet.
Step-by-step explanation:
To find the answer, we need to convert yards to feet and then add them to the given feet. We can use the following conversion factor: 1 yard = 3 feet. Multiplying both sides by 7, we get: 7 yards = 21 feet. Adding 11 feet to both sides, we get: 7 yards + 11 feet = 21 feet + 11 feet. Simplifying, we get: 7 yards + 11 feet = 32 feet.
Which of the following graphs shows a line with an undefined slope
Answer:
D
Step-by-step explanation:
