Step-by-step explanation:
1) k(x)= -3x²-3
k (-2)= -3×(-2)²-3
= -12-3
= -15
3)k(a)=a+4
k(0)= 0+4=4
hope it helps.
A triangle has base 4 x and height x. Find it's area in terms of x.
Answer:
4
Step-by-step explanation:
base x height
4 times X
X = 1
4 x 1 = 4
The probability that a person in the US has B blood is 8%. Three unrelated people in the US are selected at random. a) Find the probability that all three have type B blood b) Find the probability that none have type B blood c) Find the probability that at least one of them hae type B blood
a) The probability that all three people have type B blood is 0.000512 or 0.0512%.
b) The probability that none of the three people have type B blood is 0.999488 or 99.9488%.
c) The probability that at least one of the three people has type B blood is 0.000512 or 0.0512%.
a) To find the probability that all three people have type B blood, we multiply the individual probabilities together since the events are independent.
P(all three have type B blood) = P(B) * P(B) * P(B) = (0.08) * (0.08) * (0.08) = 0.000512
So, the probability that all three people have type B blood is 0.000512 or 0.0512%.
b) To find the probability that none of the three people have type B blood, we subtract the probability of at least one person having type B blood from 1.
P(none have type B blood) = 1 - P(at least one has type B blood)
Since the complement rule states that P(A') = 1 - P(A), we can rewrite the probability as:
P(none have type B blood) = 1 - P(B) * P(B) * P(B) = 1 - 0.000512 = 0.999488
So, the probability that none of the three people have type B blood is 0.999488 or 99.9488%.
c) To find the probability that at least one of the three people has type B blood, we can subtract the probability of none of them having type B blood from 1.
P(at least one has type B blood) = 1 - P(none have type B blood) = 1 - 0.999488 = 0.000512
So, the probability that at least one of the three people has type B blood is 0.000512 or 0.0512%.
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Jay discovers that if he multiplies his age by 3, reverses the number and them divides the answer by 3, the answer equals his older brother's age. Jay's mother points out that another way to find the brother's age is to simply reverse Jay's age. How old is Jay?
Answer:
Jay's age = 13, 12, or 23
Step-by-step explanation:
Let x and y represent the tens and units of Jay's age
We are given that his older brother's age = yx where;
xy + xy + xy = 3x3y is a 2 digit number of tens 3x and units 3y
Therefore, 3x < 10, and 3y < 10, which gives, x and y are each less than 3
Where, x < y given that Jay is the younger of the two brothers
We can have;
x = 1, 2, and y = 3, or 2, y = 3
Therefore, Jays age can be 13, 12, or 23, his brothers age can then be 31, 21, or 32
Pls help!!!!!!!!!!!!
Use the distributive property to expand each expression on 3(u-6). show work pls
3(u-6) = 3u-18
Step-by-step explanation:
The question is 3(u-6).
We simply multiply 3*u=3u and 3*6=18, so we will get
3(u-6) = 3u-18
CAN SOMEONE PLS HELP MEE
Two triangles are graphed in the xy-coordinate plane.
Which sequence of transformations will carry △QRS
onto △Q′R′S′?
A. a translation left 3 units and down 6 units
B. a translation left 3 units and up 6 units
C. a translation right 3 units and down 6 units
D. a translation right 3 units and up 6 units
Answer:
the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.
Step-by-step explanation:
evaluate the integral by interpreting it in terms of areas. part 1 of 3 we are concerned with the segment of the line y = 3 2 x − 6 that begins at (0, −6) and that ends at 5, 3/2 3/2
Therefore, The integral would be ∫[0,5] (3/2)x - 6 dx. Integrating this equation would give us the area of the region under the curve.
Explanation: To evaluate the integral by interpreting it in terms of areas, we need to find the area of the region under the curve. For part 1 of 3, we are given a segment of the line y = (3/2)x - 6 that begins at (0, -6) and ends at (5, 3/2).
To find the area of this region, we need to integrate the equation from x = 0 to x = 5. The integral would be:
∫[0,5] (3/2)x - 6 dx
Integrating this equation would give us the area of the region under the curve.
To evaluate the integral by interpreting it in terms of areas, we need to find the area of the region under the curve. For part 1 of 3, we are given a segment of the line y = (3/2)x - 6 that begins at (0, -6) and ends at (5, 3/2). To find the area of this region, we need to integrate the equation from x = 0 to x = 5.
Therefore, The integral would be ∫[0,5] (3/2)x - 6 dx. Integrating this equation would give us the area of the region under the curve.
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Find the product.
(−6)(−7)=
Answer:
The answer to your question is 42
the answer is 42 because the parentheses around the -6 and the -7 mean to multiply them and that two negatives make a positive so -6 * -7 equals 42
Hope this helps!
Write two numbers that multiply to the value on the top and add to the value on bottom
Answer:
Step-by-step explanation:
-10 and 9
-10×9=-90
-10+9=-1
Ana drew the parent graph of y=x?. How should she transform that graph to produce the graph of y=2(×+ 7)square
For the parent function of y = x as sketched by Ana the transformation to get the equation y = 2(x + 7 ) is
translate to the left 7 units
vertical stretch by a factor of 2
What is transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.
Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
The type of transformation involved here is translation and vertical stretch
form the parent function, y = x
translation of seven unites to the left results to y = x + 7
vertical stretch of 2 units results to y = 2(x + 7)
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Which two ratios form a proportion? a) 4 20 and 1 5 b) 4 20 and 2 5 c) 20 4 and 1 5 d) 20 4 and 2 5
A is proportional.
Lets simplify the problem,
← divide numerator/ denominator by 4
= 4/20= 1/5
Thus A form a proportion
≠ 1/5
Thus B is not a proportion
← divide numerator/ denominator by 4
= 2/5 ≠ 1/5
Thus C is not a proportion
5/1 ≠ 1/5
Thus D is not a proportion
A is proportional.
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15. Two liquids A and B are of densities 3.5 g/cm³ and 2.4 g/cm³ respectively. x cm³ of liquid A are mixed with 50 cm³ of liquid B. Given tha density of the resulting mixture is 2.7 g/cm³, determine the value of x.
Answer: Let's use the formula for the density of a mixture to solve this problem:
ρ_mix = (m_A + m_B) / (V_A + V_B)
where ρ_mix is the density of the mixture, m_A and m_B are the masses of liquids A and B, and V_A and V_B are the volumes of liquids A and B.
Since we know the densities of liquids A and B, we can use them to calculate the masses of the liquids:
m_A = ρ_A * V_A
m_B = ρ_B * V_B
where ρ_A and ρ_B are the densities of liquids A and B.
We are given that the volume of liquid B is 50 cm³, so we can write:
V_B = 50 cm³
To solve for x, we need to find the value of V_A. Let's use the fact that x cm³ of liquid A are mixed with 50 cm³ of liquid B to write:
V_A + V_B = x + 50 cm³
Substituting the expressions for V_B and m_B into the formula for the density of the mixture, we get:
ρ_mix = (m_A + ρ_B * V_B) / (V_A + V_B)
Substituting the expressions for m_A and m_B, we get:
ρ_mix = (ρ_A * V_A + ρ_B * V_B) / (V_A + V_B)
We are given that the density of the resulting mixture is 2.7 g/cm³, so we can write:
ρ_mix = 2.7 g/cm³
Substituting all these values into the formula for the density of the mixture, we get:
2.7 g/cm³ = (ρ_A * V_A + 2.4 g/cm³ * 50 cm³) / (x + 50 cm³)
Simplifying this expression, we get:
2.7 g/cm³ = (ρ_A * V_A + 120 g) / (x + 50 cm³)
Multiplying both sides by (x + 50 cm³), we get:
2.7 g/cm³ * (x + 50 cm³) = ρ_A * V_A + 120 g
Expanding the left side, we get:
2.7 g/cm³ * x + 2.7 g/cm³ * 50 cm³ = ρ_A * V_A + 120 g
Simplifying this expression, we get:
ρ_A * V_A = 2.7 g/cm³ * x - 2.7 g/cm³ * 50 cm³ + 120 g
ρ_A * V_A = 2.7 g/cm³ * (x - 50 cm³) + 120 g
Now we can substitute the density of liquid A into this expression and solve for x:
ρ_A = 3.5 g/cm³
ρ_A * V_A = 2.7 g/cm³ * (x - 50 cm³) + 120 g
3.5 g/cm³ * V_A = 2.7 g/cm³ * (x - 50 cm³) + 120 g
3.5 g/cm³ * V_A = 2.7 g/cm³ * x - 2.7 g/cm³ * 50 cm³ + 120 g
3.5 g/cm³ * V_A = 2.7 g/cm³ * x - 54 g + 120 g
3.5 g/cm³ * V_A = 2.7 g/cm³ * x + 66 g
V_A = (2.7 g/cm³ *x + 66 g) / 3.5 g/cm³
V_A = (0.7714 x + 77.14) cm³/g
Now we can substitute this expression for V_A into the earlier equation we obtained for the density of the mixture, and solve for x:
2.7 g/cm³ = (ρ_A * V_A + 2.4 g/cm³ * 50 cm³) / (x + 50 cm³)
2.7 g/cm³ = (3.5 g/cm³ * (0.7714 x + 77.14) cm³/g + 2.4 g/cm³ * 50 cm³) / (x + 50 cm³)
2.7 g/cm³ = (2.6999 x + 227.6) / (x + 50 cm³)
Multiplying both sides by (x + 50 cm³), we get:
2.7 g/cm³ * (x + 50 cm³) = 2.6999 x + 227.6
Expanding the left side, we get:
2.7 g/cm³ * x + 2.7 g/cm³ * 50 cm³ = 2.6999 x + 227.6
Simplifying this expression, we get:
0.0001 x = 1.4
x = 14,000 cm³
Therefore, 14,000 cm³ of liquid A should be mixed with 50 cm³ of liquid B to obtain a mixture with density 2.7 g/cm³.
solve kx-3=5 for x
a
b
c
or
d
Answer:
x = 8/k
Step-by-step explanation:
kx - 3 = 5
Add 3 to each side
kx -3+3= 5+3
kx = 8
Divide by k
kx/k = 8/k
x = 8/k
Answer:
x = 8 / k
Step-by-step explanation:
Let's solve for x.
kx − 3 = 5
Step 1: Add 3 to both sides.
kx −3 +3 = 5 + 3
kx = 8
Step 2: Divide both sides by k.
kx / k = 8k
x = 8 / k
First to answer and is correct gets brainliest
Answer:
Step-by-step explanation:
g (x) = 5x - 5 complete the function table
Answer:
x=1
Step-by-step explanation:
help me with my homework
Answer:
\( m\angle 6 = 107\degree \)
\( m\angle 7 = 73\degree\)
Step-by-step explanation:
\( m\angle 6 = m\angle 4 \)
(Exterior alternate angles)
\( \because m\angle 4 = 107\degree... (given) \)
\(\huge \therefore m\angle 6 = 107\degree \)
\( \because m\angle 6+ m\angle 7= 180\degree\)
(linear pair angles)
\( \therefore 107\degree+ m\angle 7= 180\degree\)
\( \therefore m\angle 7= 180\degree-107\degree\)
\( \huge \therefore m\angle 7 = 73\degree\)
A city has an elevation of -752 feet. Which statement describes the city's elevation?
O-752 above sea level
O-752 below sea level
O 752 above sea level
O 752 below sea level
Answer:
The answer is C my good sir
Step-by-step explanation:
PLEASE HELP!! (Look at photo)
Answer:
C
10 x (p+2) = 30
10 x 2 = 20 30 - 20 = 10 10 ÷ 10 = 1
P = 1
10 x (1 + 2) = 30
(Geometry Module 4 DBA review)
When a figure is dilated from the origin, each ordered pair of the image, maybe found according to the rule (x,y)->(kx, ky)
Yes, that's correct. When a figure is dilated from the origin, each ordered pair of the figure is transformed according to the rule
What is dilation in maths ?
A dilation is a function f from a metric space M into itself that fulfils the identity d=rd for all locations x, y in M, where d is the distance between x and y and r is some positive real number.
Yes, that's correct!
When a figure is dilated from the origin, each ordered pair of the figure is transformed according to the rule (x, y) → (kx, ky), where k is the scale factor. The scale factor determines the size of the dilation; if k > 1, the dilation increases the size of the figure, while if 0 < k < 1, the dilation decreases the size of the figure. If k = 1, the figure remains unchanged.
It's important to note that dilations preserve the orientation of the figure and can be thought of as a non-uniform scaling of the figure.
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Students hypothesized that by running an electric current through the wire of the apparatus shown here, they could cause a non-magnetic nail to exhibit magnetic properties. What would be a reasonable way to test this?.
The reasonable way to test this one is to identify the validity of the hypothesis can be tested.
The hypothesis suggests that when an electric current passes through a wire, it generates a magnetic field. If this magnetic field is strong enough, it could magnetize a non-magnetic nail that is placed nearby. To test this hypothesis, an experiment can be conducted as follows:
A non-magnetic nail, a battery, a wire, and a switch.
Connect the wire to the battery and switch in series. The other end of the wire should be wrapped around the nail multiple times. Once the apparatus is set up, turn on the switch to pass an electric current through the wire.
Before running the current through the wire, test the nail for its magnetic properties by holding it close to some iron filings or other small magnetic objects. If it does not attract any of these objects, then it is non-magnetic.
Turn on the switch and run the electric current through the wire wrapped around the nail for a few minutes.
After running the current through the wire, test the nail again for its magnetic properties. Hold it close to the iron filings or other small magnetic objects and observe if it attracts them.
Compare the results obtained before and after running the current through the wire. If the nail exhibits magnetic properties after running the current, then the hypothesis that passing an electric current through a wire can magnetize a non-magnetic nail can be considered valid.
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Can someone solve this for me please.
Answer:
y= .5x+2
Step-by-step explanation:
Slope= 2/4 (rise over run) = .5
B/ y intercept = 2
y=.5x+2
A bucket of green paint 6 teaspoons of blue in it and 8 teaspoons of yellow paint to make a shade of green paint using 18 teaspoons of blue paint how many teaspoons of yellow
Answer:
24 teaspoons of yellow
Step-by-step explanation:
The ratio of blue to yellow is 6 to 8.
\( \frac{6}{8} = \frac{18}{y} \)
We see that y = 24 since 18 = 3 × 6 and
24 = 3 × 8.
The long jump pit was recently rebuilt to make it level with the runway. Volunteers provided pieces of wood to frame the pit. Each piece of wood provided measures 6 feet, which is approximately 1.8287 meters. 2.75 meters 9.54 meters.
Determine the amount of wood, in meters, needed to rebuild the frame.
The long jump pit was recently rebuilt to make it level with the runway. the amount of wood, in meters, is 12.29 meters.
What is the amount of wood, in meters, needed to rebuild the frame.?Generally, To determine the amount of wood needed in meters, you will need to convert the length of each piece of wood from feet to meters. You can use the conversion factor that 1 foot is equal to approximately 0.3048 meters.
To convert the length of the wood from feet to meters, you can use the formula:
length in meters = length in feet * 0.3048
Using this formula, you can calculate that 2.75 meters is equal to approximately 9 feet, and 9.54 meters is equal to approximately 31.25 feet.
Therefore, the total amount of wood needed in meters is 2.75 meters + 9.54 meters = 12.29 meters.
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NEED HELP! ASAP PLEASE!
Answer:
(0,-41)
Step-by-step explanation:
You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!
Please help, need a diagram and correct calculations!!!
Buy the land !all angles will be greater than 30 °
How many piece of land he buy ?Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circular functions) that make up trigonometry.
A branch of mathematics called trigonometry examines connections between triangles' sides and angles. Due to the fact that every straight-sided shape can be decomposed into a group of triangles, trigonometry can be found throughout all of geometry.
cos x = 500²+800²-900²/-2(800)(900)
x = \(cos^{-1}\)(+1200000/+1440000)
=336°
Buy the land !all angles will be greater than 30 °
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Which sequence of transformations will map figure Konto figure Kí?109876432Х10-9-8--5-4-3-2-11 +2 3 4 5 6 7 8 9 1010Reflection across X = 4, 180° rotation about the origin, and a translation of (x + 8, y)Reflection across X = 4, 180° rotation about the origin, and a translation of (x - 8, y)Reflection across y = 4, 180° rotation about the origin, and a translation of (x + 8, y)Reflection across y = 4, 180° rotation about the origin, and a translation of (x - 8, y)
Answer:
A
Explanation:
To determine which sequence of transformation will map figure K onto figure K', we test each of the options using the point (6,5) in Figure K.
Option A
Reflection across x=4, 180° rotation about the origin, and a translation of (x+8,y)
\(\left(6,5\right)\rightarrow(2,5)\rightarrow\left(-2,-5\right)\rightarrow(6,-5)\)Option B
Reflection across x=4, 180° rotation about the origin, and a translation of (x-8, y)
\(\left(6,5\right)\rightarrow(2,5)\rightarrow\left(-2,-5\right)\rightarrow(-10,-5)\)Option C
Reflection across y=4, 180° rotation about the origin, and a translation of (x+8,y)
\(\left(6,5\right)\rightarrow(6,3)\rightarrow\left(-6,-3\right)\rightarrow(2,-3)\)Option D
Reflection across y=4, 180° rotation about the origin, and a translation of (x-8,y)
\(\left(6,5\right)\rightarrow(6,3)\rightarrow\left(-6,-3\right)\rightarrow(-14,-3)\)We can see that Option A is the one which maps point (6,5) to (6,-5).
Therefore, it is the sequence of transformations will map figure K onto figure K'.
Two cars travel at the same speed to different destinations. Car A reaches its destination in 12 minutes. Car B reaches its destination in 18 minutes. Car B travels 4 miles farther than Car A. How fast do the cars travel? Write your answer as a fraction in simplest form.
Answer:
chatGPT
Step-by-step explanation:
Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:
d = v * (12/60) (since Car A reaches its destination in 12 minutes)
d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)
Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:
12v = 60d
18v = 60d + 240
Subtracting the first equation from the second, we get:
6v = 240
Therefore:
v = 240/6 = 40
So the cars travel at a speed of 40 miles per hour.
what is the slope of (2,3) (10,15)
Answer:
1.5
Step-by-step explanation:
Answer:
m=3/2
Step-by-step explanation:
A bag contains 6 red marbles , 6 purple marbles, and 6 yellow marbles. What is the probability of randomly selecting a yellow marble from the bag?
Answer:
1/3
Step-by-step explanation:
each color takes up 1/3 of the bag
Answer:1/3
Step-by-step explanation:6x6x6=18 divided by 6=3
The radius, R, of a sphere, is 6.3cm. Calculate the sphere's volume, V.
Use the value 3.14 for, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answer:
V = 1046.9
Step-by-step explanation:
The equation for volume is (4/3)pi r^3
substitute 3.14 in for pi and 6.3 in for r so (4/3)*3.14*6.3^3