The graph of a quadratic function has y-intercept 10 and one of its x-intercepts is 1

Answer:

b

Step-by-step explanation:

Answer: Box and whisker plots are plots on number lines with a box and two lines off the edges, called whiskers. The box has a line at the upper quartile(1), one at the lower quartile(2), and one in the center of the box at the median(3). The two lines go to the ends of the data, one at the minimum(4) and one at the maximum(5).

  4     2     3       1             5

   |-----[___|____]-----------|

₀__₁__₂__₃__₄__₅__₆__₇__₈

I hope this helps.

Answer:

D.

Step-by-step explanation:

the dot is right in between zero and one, which makes it 0.50

Answer:

D. 0.50

Between 0 and 1 is 0.50 or 0.5 or \(\frac{1}{2}\)

7.5cm2

5x3cm=15cm2 because of base x height/2 you would do

15cm2 divided by 2 since it is a triangle (a half of a square) which is 7.5cm2

Answer:

D.

Step-by-step explanation:

Area of a triangle is bh/2

So your base is 5 and your height is 3.

So you do 5*3 which is 15.

And lastly you do 15/2, which is 7.5. 7*2 is 14, and 8*2 is 16

So 7.5 times 2 is 15

Answer: -8

Step-by-step explanation:

The curve can be sketched by plotting points obtained from the parametric equations, and the Cartesian equation of the curve is y = √(x + 2) + 1.

(a) To sketch the curve defined by the parametric equations x = t²  - 2 and y = t + 1, we can plug in various values of t within the given range (-3 ≤ t ≤ 3) to obtain corresponding points (x, y) on the curve.

As t increases, we trace the curve in the direction indicated by the arrow. By plotting multiple points and connecting them smoothly, we can visualize the shape of the curve.

(b) To eliminate the parameter t and find a Cartesian equation of the curve, we can solve the first equation x = t² - 2 for t² and rewrite it as t² = x + 2.

Then substitute this expression for t² into the second equation y = t + 1. We have y = √(x + 2) + 1 for the positive square root, and y = -√(x + 2) + 1 for the negative square root.

Simplifying these equations provides the Cartesian equation of the curve: y = ±√(x + 2) + 1. By restricting the range of y to -2 ≤ y ≤ 4, we can consider only the positive square root and obtain the Cartesian equation y = √(x + 2) + 1.

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Answer: The formula to calculate the volume of a rectangular prism is:

Volume = length x width x height

Where:

"length" is the distance along the longest side of the prism.

"width" is the distance along the side of the prism perpendicular to the length.

"height" is the distance perpendicular to both the length and width.

So, to calculate the volume of a rectangular prism, you need to know the length, width, and height, then plug those values into the formula and perform the calculation.

For example, let's say you have a rectangular prism with a length of 10 cm, a width of 5 cm, and a height of 2 cm. The calculation would be:

Volume = length x width x height = 10 x 5 x 2 = 100 cm^3

So, the volume of the rectangular prism is 100 cubic centimeters.

Step-by-step explanation:

The conjectures which you can make about a point on the perpendicular bisectors of a segment and a point of a bisector of an angle include the following below:

Th line that divides something into two equal parts and it is usually applied to the line segments and angles.

The following relationships between them is that if there is a point which lies on the perpendicular bisector of a segment, then it is most likely to be equidistant from the endpoints of the segment when scrutinized thereby making it the correct choice.

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Answer:

Step-by-step explanation:

The burger was 3 dollars and 50 cents . The two order of fries were 3 dollars

Answer:

$3.50

Step-by-step explanation:

first you take the amounts you do know, which is the total amount and the cost of one order of fries.

you know he got 2 fries, so thats 1.50 times 2.

1.50 x 2 = 3.00

then you subtract that from the total

6.50 - 3.00 and you're left with 3.50

Each solid plastic cylinder with a radius of 2.51 cm and length of 5.64 cm has a charge of approximately 282.46 Coulombs.

To find the charge of each cylinder, we need to use the formula for the charge of a uniformly charged solid cylinder, which is given by Q = λ * V, where Q is the charge, λ is the charge density, and V is the volume of the cylinder.

First, we need to calculate the volume of each cylinder. The formula for the volume of a cylinder is V = π * r^2 * h, where r is the radius and h is the height or length of the cylinder.

Using the given values, we have r = 2.51 cm and h = 5.64 cm. Converting these values to meters, we get r = 0.0251 m and h = 0.0564 m.

Calculating the volume of each cylinder:

V = π * (0.0251 m)^2 * (0.0564 m) = 7.0925e-5 m^3

Now, we need to find the charge density λ. The charge density for each cylinder is given by λ = Q / V, where Q is the charge and V is the volume.

Since the radius and length are the same for all four cylinders, the charge density will also be the same. Therefore, we can calculate the charge density using one of the cylinders.

Assuming the charge density is λ, we can rearrange the formula to solve for λ:

λ = Q / V

Given that λ = 2.0 μC/m^3 (microCoulombs per cubic meter), we have:

2.0e-6 C/m^3 = Q / (7.0925e-5 m^3)

Solving for Q:

Q = (2.0e-6 C/m^3) * (7.0925e-5 m^3)

Q = 1.4185e-10 C

Therefore, the charge of each cylinder is 1.4185e-10 C, which is approximately equal to 282.46 Coulombs.

Each solid plastic cylinder with a radius of 2.51 cm and length of 5.64 cm has a charge of approximately 282.46 Coulombs. This calculation is based on the given charge density of 2.0 μC/m^3 and the formula for the charge of a uniformly charged solid cylinder.

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Answer:

Brainliest this first then I will help you

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:shheshh

Answer:

\(\sqrt{b^2+(c- a)^2}\)

Step-by-step explanation:

Replace values in the distance formula

x2= b

x1= 0

y2= c

y1= a

<x = 0 + 2t, y = 15 - 3t, z = -6 + 7t> is the vector parametric equation of the line parallel to the given one and that passes through the point (0, 15, −6).

According to the statement

we have to find that the vector equation with the help of the given line equation and the points.

So, For this purpose, we know that the

A vector equation is an equation involving a linear combination of vectors with possibly unknown coefficients.

And the given points is (0, 15, −6) and the lines

x = −1 + 2t,

y = 6 − 3t,

z = 3 + 7t

From these equation of lines:

Let a = -1 and b = 6 and c = 3

Then

Now, if we want this line to pass through the point (0, 15, -6), then we can replace the correspondent values in the constant term for each equation:

So, Put it in the given equations then

x = 0 + 2t and y = 15 - 3t and z = -6 + 7t

and the vector equation become

<x = 0 + 2t, y = 15 - 3t, z = -6 + 7t>

So, <x = 0 + 2t, y = 15 - 3t, z = -6 + 7t> is the vector parametric equation of the line parallel to the given one and that passes through the point (0, 15, −6).

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Answer:

Derive the formula for the depressed cubic  x3+3px=2q

Step-by-step explanation:

It's hard, so good luck to your math teacher

Laplace transforms of given functions are given below:

a)  f(t) = cosh ωtLaplace Transform of f(t) is L[f(t)] = 1 / (s - ω) + 1 / (s + ω)

Explanation:  Using the definition of Laplace transform, we have L[f(t)] = ∫[0,∞] e^(-st) cosh ωt dt =  1/2 ∫[0,∞] e^(-st) (e^(ωt) + e^(-ωt)) dt

Taking Laplace Transform L[f(t)] = 1/2 ∫[0,∞] e^(-st) e^(ωt) dt + 1/2 ∫[0,∞] e^(-st) e^(-ωt) dt

Now we can see that both integrals are of the same form as shown below,

∫[0,∞] e^(-(s-ω)t) dt = 1 / (s - ω)∫[0,∞] e^(-(s+ω)t) dt = 1 / (s + ω)

Therefore, we have L[f(t)] = 1 / (s - ω) + 1 / (s + ω)

b) f(t) = 2 sin3t + cos3t Laplace Transform of f(t) is L[f(t)] = (2s) / (s² + 9) + (s) / (s² + 9)

Explanation: Using the definition of Laplace transform, we have L[f(t)] = ∫[0,∞] e^(-st) (2 sin3t + cos3t) dt

Taking Laplace Transform L[f(t)] = 2∫[0,∞] e^(-st) sin3t dt + ∫[0,∞] e^(-st) cos3t dt

Using Laplace Transform of sin3t and cos3t, we get L[f(t)] = 2(3 / (s² + 9)) + (s / (s² + 9))

Therefore, L[f(t)] = (2s) / (s² + 9) + (s) / (s² + 9)

c) f(t) = (t² – 3)² Laplace Transform of f(t) is L[f(t)] = (s⁶ - 6s⁴ + 9s²) / s⁹

Explanation: Using the definition of Laplace transform, we have L[f(t)] = ∫[0,∞] e^(-st) (t² – 3)² dt

Taking Laplace Transform L[f(t)] = ∫[0,∞] e^(-st) (t⁴ - 6t² + 9) dt

Using Laplace Transform of t⁴, t² and 1, we get L[f(t)] = (4! / s⁵) - (6! / s⁷) + (9 / s³)

Therefore, L[f(t)] = (s⁶ - 6s⁴ + 9s²) / s⁹

d)  2e³ᵗ (4sin3t - 5cos3t) Laplace Transform of f(t) is L[f(t)] = 2(5s - 12) / ((s - 3)² + 9)

Explanation: Using the definition of Laplace transform, we have L[f(t)] = ∫[0,∞] e^(-st) 2e³ᵗ (4sin3t - 5cos3t) dt Taking Laplace Transform L[f(t)] = 2∫[0,∞] e^(-(s-3)t) (4sin3t - 5cos3t) dt Using Laplace Transform of sin3t and cos3t, we get L[f(t)] = 2(4(3) / ((s-3)² + 9) - 5((s-3) / ((s-3)² + 9)))

Therefore, L[f(t)] = 2(5s - 12) / ((s - 3)² + 9)

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Note that the angle indicated by the question mark is 75°. See the explanation below.

Given that the angle at the vertex that they (the equilateral triangle and the square share) is a right angle or 90 degrees.

This means that the middle angle of the equilateral triangle is 60° this is because an "equilateral" triangle has 3 equivalent sides and, therefore, 3 equivalent angles.

Since the sum of the 3 angles of ANY triangle is 180°, then 180/3 = 60° for each angle.

Because the angle at the vertex is "splitting" a right angle, or 90 degrees which belongs to the square, then that leaves 2 smaller angles on each side of the 60° angle,

or 90 - 60

=30/2

=15° each.

That is the top angle of the triangle you are trying to solve.

Therefore, since that small triangle is a right triangle, then: 180 - 90 - 15 =75°, which is the angle with a question mark (?)

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Full Question:

An equilateral triangle and a square are inscribed in a circle as shown.  ABCis isosceles. The triangle and square share a common vertex. What is the number of degrees in the measure of the angle indicated by the question mark? (See attached)

The quadrilateral is a parallelogram.

Properties of parallelogram,

a>The opposite sides of the parallelogram are equal and parallel.

b>parallel lines have an equal slope.

Let now find the length of the opposite side of the parallelogram

To find the length we have ,

            \(\sqrt{(x_{2} ^{2} -x_{1} ^{2} ) +(y_{2} ^{2}-y_{1} ^{2} )}\)

(-2, 3) , (-2, 6)

Slope = 6-3/ -2+2 = infinity

Length L1 = \(\sqrt{(-2 + 2)^{2} + (6 - 3)^{2} }\)

                = 9

(-6, -1), (-6, 2)

Slope = 2+1/ -6 + 6 = infinity

Length L2 = \(\sqrt{(-6 + 6)^{2} + ( 2 + 1)^{2} }\)

                = 9

Therefore the given vertices are of a parallelogram, as the  length and slope are equal.

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Answer:

Step-by-step explanation:

To find the x intercepts, substitute in 0 for y and solve for x

So,

2x^2+2x-4 = 0

2(x^2+x-4) = 0

2/2(x^2+x-4) = 0/2

x^2+x-4 = 0

(x-1) (x+2) = 0

now,

x-1 = 0

x = 1

or

x+2 = 0

x = -2

The x intercepts for the parabola (1,0), (-2,0)

The missing probability from the line in the diagram attached is 0.5.

The number line is a graduated straight line system showing the value of each real number from (-∞, +∞).

The probability of a number line in the diagram below is halfway (middle) between the impossible event and a certain event.

Thus,

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The option that describes dependent events is "removing a vowel, not replacing it, and then removing another vowel".

This is because dependent events are events in which the outcome of one event affects the outcome of another event, i.e., there is a dependency between events. In this case, removing a vowel from the bag without replacing it affects the probability of removing another vowel from the bag. The other options do not describe dependent events because the outcome of one event does not affect the outcome of another event.

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Answer: 26 and 30

Step-by-step explanation: The pattern is adding 4, so 10 + 4 is 14, 14 + 4 is 18, and 18 + 4 is 22.

So you add 4.

22 + 4 is 26.

26 + 4 is 30.

Answer:

26, 30 are the next two terms

Step-by-step explanation:

The coordinates of E' is (-5, -1)

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Given that, a point E (-5, 1) on the coordinate plane, is being reflected over the x-axis to create point E', we need to find the coordinates of E',

The rule of reflection over the x-axis is:

(x, y) → (x, -y)

That mean,

The x coordinates remains same and the sign of y coordinates gets changed,

Therefore,

(-5, 1) → (-5, -1)

Hence, the coordinates of E' is (-5, -1)

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Answer:

A.   4.5 ft

B.    4 ft

C.    1 ft

Step-by-step explanation:

If you pretend that h is replacing y and d is replacing x and you would graph the equation, then you would get a parabola that opens down.

You would need to find the vertex of the parabola.  The ordered pairs would be (d, h) instead  of the normal (x, y).  

A.  The maximum height will be the h value of the vertex

B.   Let h = 0 and solve the equation for d.  That will give you distance from the stump that the frog landed.

C.  The distance from the log at the maximum height is the d value of the vertex

So, that is what is needed to be done.

Without me going thru all the work, the vertex is (1, 4.5) and the solutions to the equation when h = 0 are 4, -2  (discard -2 since a distance cannot be negative)

So the answer to A is 4.5 ft.

The answer to B is 4ft.

The answer to C is 1 ft.

Now, can you find the vertex on your own and can you solve the equation when h = 0?  I hope so.  OK?

A function assigns the values. The maximum height will be when the horizontal distance is 1feet from the log.

A function assigns the value of each element of one set to the other specific element of another set.

A.) The maximum height of the frog,

h = -0.5d²+d+4

dh/dd = -0.5(2d)+1

dh/dd = -d+1

0=-d+1

d = 1

The maximum height will be when the horizontal distance is 1feet from the log.

h = -0.5(1)² + 1 + 4

h = -0.5 + 1 + 4

h = 4.5

Hence, the maximum height of the frog will be 4.5 feet.

B.) The Distance between the frog and the stump when the frog land can be found,by putting h=0.

0 = -0.5(d)²+ d + 4

d²-2d-8=0

d²-4d+2d-8=0

d(d-4)+2(d-4)=0

d = 4, -2

Since the distance can not be negative, the frog is 4 feet away from the stump when the frog land.

C.) The maximum height will be when the horizontal distance is 1feet from the log.

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The simplified expression for (f ∘ g)(x) is 2 + x (option d).

To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.

Given:

f(x) = log₃(9x)

g(x) = \(3^x\)

Substituting g(x) into f(x):

(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)

Now, we simplify the expression:

log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)

Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:

log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x

Using the property logₓ\((x^a)\) = a * logₓ(x), we get:

log₃\((3^2)\) + x = 2 * log₃(3) + x

Since logₓ\((x^a)\) = a, where x is the base, we have:

2 * log₃(3) + x = 2 + x

Therefore, (f ∘ g)(x) simplifies to:

(f ∘ g)(x) = 2 + x

So, the correct answer is (d) 2 + x.

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Complete Question:

Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)

(a) 2x

(b) x

(c) \(27^x\)

(d) 2+x

(e) None of these.

multiples of 8 are all the numbers which are divisible by 8, for eg: 8,16,24,32,40,48...

P card has all multiples of 8

hope it helps...!!!

Answer:

\(-7^\circ C\)

Step-by-step explanation:

Let

x -----> the height in meters

y ----> the temperature in Celsius degree

we know that

The linear equation in slope intercept form is equal to

\(y+mx+b\)

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

The slope or unit rate is equal to

\(m=-\dfrac{1}{100} \dfrac{^\circ C}{m}\) ---> is negative because is a decreasing function

The y-intercept or initial value is equal to

\(b=4^\circ C\) ----> value of y when the value of x is equal to zero (sea level)

substitute

\(y=-\dfrac{1}{100} x+4\)

For x=1,100 m

substitute in the linear equation and solve for y

\(y=-\dfrac{1}{100} (1,100)+4\)

\(x=-7^\circ C\)

Answer:

64°

Step-by-step explanation:

Both triangles represent a right angle by the small box in the angle.

Right angles = 90°

Since the triangles are congruent, then they would have the same measurements in their angles an sides. All triangles also have a sum of 180°. So, we can just subtract (26 + 90) from 180 to get the third angle.

180 - (26 + 90)

180 - 116

64

So, the m∠KLM is 64°.

Given :

\(\begin{lgathered}\bullet\:\:\textsf{Perimeter of reactangle = \textbf{32 cm}}\\\bullet\:\:\textsf{Width = \textbf{7 cm}}\end{lgathered}\)

\(\rule{130}1\)

Solution :

\(:\implies\sf Perimeter\:of\: rectangle = 2 (Length + Breadth) \\\\\\:\implies\sf 32 = 2 (l + 7)\\\\\\:\implies\sf 32 = 2l + 14\\\\\\:\implies\sf 32 - 14 = 2l\\\\\\:\implies\sf 2l = 18\\\\\\:\implies\underline{\boxed{\sf Length = 9\:cm}} \)

\(\rule{170}2\)

\(\dashrightarrow\sf\:\:Area\:of\: rectangle = Length \times Breadth\\\\\\\dashrightarrow\sf\:\: Area\:of\: rectangle = 7\:cm \times 9\:cm\\\\\\\dashrightarrow\:\:\underline{\boxed{\sf Area\:of\: rectangle = 63\:cm^2}}\)

⠀

\(\therefore\:\underline{\textsf{The area of reactangle is \textbf{63}}\:\sf{cm^2}}.\)

Answer:

Area of the rectangle is 63 cm².

Step-by-step explanation:

Given :-

To find :-

Solution :-

Consider,

width = 7 cm

Formula used :-

\({\boxed{\sf{Perimeter of rectangle=2(Length+breadth)}}}\)

According to the question ,

2(x+7) = 32

→ x+7 = 32/2

→ x +7 = 16

→ x = 16-7

→ x = 9

★ Length = 9 cm

Area of the rectangle ,

= length × Breadth

= 9 × 7 cm²

= 63 cm²

Therefore, the area of the rectangle is 63 cm².

Answer:i can't see it post a better one

Step-by-step explanation: