Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4 from the product, she will find his age. She tells him that his age equals the expression 12 + 5 × 3 − 4 . Is Sophia correct? Choose the correct answers from the drop-down menus. Sophia is Choose... . Her uncle's actual age is Choose... .

Answer:

C.

Step-by-step explanation:

-5.3 rounds up to -5

7.9 rounds up to 8

sum is 3

2.4 rounds to 2, not 3

It's not reasonable

so, the answer is C.

Answer:

C. Since -5.3 rounds to -6 and 7.9 rounds to 8, the sum rounds to 2. Her answer of 2.4 is not equal to 3. So, it is not reasonable.

Step-by-step explanation:

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We know 4² = 16 , 4¹= 4

In this case we have :-

[tex] {4}^{x} = 14[/tex]

and we have to find the value of x

14 is less than 16 so x will be less than 2

14 is greater than 4 so x will be greater than 1

we can find the value of

[tex] {4}^{1.5} = {4}^{ \frac{3}{2} } \\ { (\sqrt{4}) }^{3} = {2}^{3} = 8[/tex]

so we can say 14 is much larger than 8 which means x will be much larger than 1.5

so according to above ideas we can say our answer is 2nd option which is 1.9037 is our answer

[tex]x \approx1.9037[/tex]

[tex]~~~~~~~4^x = 14 \\\\\implies \ln 4^x = \ln 14\\\\\implies x \ln 4 = \ln 14\\ \\\implies x = \dfrac{\ln 14}{ \ln 4}\\\\\implies x \approx 1.9037[/tex]

Answer:

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

that's the answer to the question

Answer:

Hope this helps. Credit to the other user.

Step-by-step explanation:

Answer: 375 bolts

Step-by-step explanation:

Just do 225*(40/24)

The graph of the given function f(x)=2arcsin (x-4)+1, looks like the curve.

We have given that the function

f(x)=2 arcsin (x-4)+1,

We have to determine the graph of f(x)

Therefore we gave

Graph

Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.

An ordered pair (x, y) represents a position of a point on a coordinate graph, where x is the number on the x-axis that the point lines up with and y is the number on the y-axis that the point lines up with.

The numbers x and y in the ordered pair (x, y) are called coordinates.

We find the coordinate of the given graphs and draw a graph of the given function.

x           f(x)

3          −π−1

7/2        −π/3−1

4            −1

9          2π/3−1

5            π−1

Therefore the graph of the given function is

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Answer:

Ricky had 1201 hits and

Pedro hade 1481 hits

Step-by-step explanation:

Let Ricky be 'y'.

Since, Pedro hit 280 mroe than Ricky.

Pedro is 'y+ 280'

Thus,

y + y+ 280 = 2682

2y = 2402

y = 1201

Ricky had 1201 hits and

Pedro hade 1201 + 280 = 1481 hits

Answer:

See below ~

Step-by-step explanation:

Let :

Solving :

Solution :

Answer:

volume= lxbxh= 10*8*2= 160 cm3

function g that represents the height above the ground (in feet) in terms of the time since the Ferris wheel began rotating if the Ferris wheel rotates at a speed of 2 radians per second is g(t) = 25cos(2t) feet+30

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

The height g(t) above the center after t minutes is given by

g(t) = 25cos(r(t))

g(t) = 25cos(2t) feet+30

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Step-by-step explanation:

6x+1≤4x−9

6x-4x≤-9-1

2x≤-10

inequality changes when divided or multiplied with negative

The theorem is used to find the side and angles of a triangle. The value of y from the given diagram is 0.64

The given diagram are right angled triangle

From the lower triangle

sin45 = a/2√2
1/√2 = a/2√2

1 = a/2
a = 2

Determine the value of y

tan 60 = opp/adj

tan 60 =y/2

y = 2 tan60

y = 0.64

Hence the value of y from the given diagram is 0.64

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Answer:

[tex]y=\frac{4}{3} x-9[/tex]

Step-by-step explanation:

Here this is in standard form. Hope this helps!

Answer:

y=4/3x-9

Step-by-step explanation:

equasion for linear function is y=mx+b where y is m is slope and b is y intercept. just plug in your variables

Answer:

total cost =$ 16 +$ 4.56=$ 20.56

change received = $25 - $ 20.56 = $4.44 .

Step-by-step explanation:

therefore your answer is 4,44 hope this helps

Answer:

D 36.6

Step-by-step explanation:

Here, there is a triangle inscribed inside of a semicircle where the triangle is unshaded and the remained of the semicircle is shaded and we want to find the area of that shaded untouched area of the semicircle.
To do so we must find the area of the two shapes individually and then subtract the area of the triangle from the area of the semi circle as the triangle is what is uncovering the semicircle.

Finding the area of the semicircle

Area of a semicircle = (πr²)/2 where r = radius

Here we are given the diameter of the semicircle which is 13cm. We can easily convert the diameter to radius by dividing it by 2 as the radius is equal to half the diameter

Radius = 1/2 diameter , so radius = 13 / 2 = 6.5cm

We have A = πr²/2

==> plug in radius or r = 6.5

A = π(6.5)²/2

==> simplify exponent

A = π(42.25)/2

==> multiply π and 42.25 ( note that π = 3.14 approximately

A = 132.665/2

==> divide 132.665 by 2

A = 66.366

So the area of the semicircle is 66.366cm²

Finding the area of the triangle

The area of a triangle can be calculated by dividing the product of the base length and height ( formula = bh / 2 where b = base length and h = height )

Here the base length appears to be 5cm and the height appears to be 12cm so b = 5 and h = 12

So we have A = bh/2

==> plug in b = 5 and h = 12

A = (12)(5)/2

==> multiply 12 and 5

A = 60 / 2

==> divide 60 by 2

A = 30

So the area of the triangle is 30cm²

Subtracting the area of the triangle from the area of the semicircle

Finally to find the area of the shaded region we subtract the area of the triangle from the area of the semicircle

We have area of triangle = 30cm² and area of semicircle = 66.366

So area of shaded region = 66.366 - 30 = 36.366

D , 36.6 is closest to our answer therefore the answer is D

Answer:

its the first one you listed

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Explanation:

We can think of the square in the middle of the four others as the floor

The surrounding four squares are the walls that fold upward.

The square at the very right side will then form the ceiling.

Side E and side L join at the top left edge.

See the diagram below.

Answer:

1122

If you do 18 (the first number in the sequence) plus 69 because you have to do 70 minus 1 equals 69. So 18 plus 69 then you times 16 (how many you have to get to the next number).

18+69×16=1122

Step-by-step explanation:

Answer:

A or B ( if it is multiple choice as B is the answer to A)

Answer:

C and E

Step-by-step explanation:

C and E are both equal to (2^3)^4

Answer:

42

Step-by-step explanation:

well , here we can find the unknown variable which is X

127 = 3X+2 ( vertically opposite angles are equal)

127 = 3X+2

3x+2= 127

collecting like terms

3x = 127-2

3x = 125

dividing bothsides by 3

3x/3 = 125/3

x = 41.66

x = 42 (approximately)

The Equation of parabola with focus (3,1) and directrix y = 3 is [tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.

Here, focus (3,1) and directrix y=3

Let the locus of parabola be (x, y)

We know that, in Parabola

Distance between locus to focus = Distance between locus to directrix line

[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex] = [tex]\frac{Ax_{1}+By_{1}+C }{\sqrt{A^2 + B^2 + C^2} }[/tex]

[tex]\sqrt{(x-3)^2+(y-1)^2} = \frac{0.x+1.y-3}{\sqrt{0^2+1^2+(-3)^2} }[/tex]

On squaring both sides, we get

[tex](x-3)^2 + (y-1)^2 = (\frac{y-3}{\sqrt{10} } )^2[/tex]

[tex]x^2 -6x + 9 + y^2 -2y + 1 = \frac{y^2 -6y +9}{10}[/tex]

[tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]

Thus, The Equation of parabola with focus (3,1) and directrix y = 3 is [tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]

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Answer:

Step-by-step explanation:

7x - 3x = 92 - 24

4x = 68

x = 68 / 4

x =17

Answer:

143

Step-by-step explanation:

These are corresponding angles meaning they are congruent. So we just have to set them equal to each other and solve for x. Then plug in x.

7x + 24 = 3x + 92

subtract 3x from both sides

4x + 24 = 92

subtract 24 from both sides

4x  = 68

divide both sides by 4

x = 17

Now plug in x to angle A, which is 7(17) + 24

119 + 24

then add

you get:

143

Answer:

The answer is D

Step-by-step explanation:

Draw the point at which your circle will be centered.

Use a compass to draw a perfect circle centered at point O.

Use a ruler to draw a vertical line straight through point O.

Draw the points at which the line intersects the circle.

Draw a second circle. This circle will be centered at Point W and the radius will extend to Point O.

Mark both places where the two circles intersect. Label the point on the left "Point Y" and the point on the right "Point Z".

Connect points X, Y, and Z using a ruler or straight edge.

Answer:

the length of the line is 7

Step-by-step explanation:

it is b. 7

Answer:

does anyone know

Step-by-step explanation:

That is hard