Which interval for the graphed function has a local
minimum of 0?
O [-3, -2]
O (-2, 0]
O [1, 2]
O [2,4]

Answer:

1386 in³

Step-by-step explanation:

Volume of the composite cone = volume of a hemisphere + volume of a cone

=>Find the volume of cone

Volume of cone = ⅓πr²h

π = 3.142

r = 7 in

h = =√(15² - 7²) [using Pythagorean theorem to solve for height given the slant height and radius]

h = √(225 - 49)

h = √176 ≈ 13 in

Volume of cone = ⅓*3.142*7²*13

= ⅓*2001.454 ≈ 667 in³

=>Find volume of hemisphere.

Volume of hemisphere = ½*volume of sphere = ½*4/3πr³ = ⅔πr³

π = 3.142

r = 7 in

Volume = ⅔*3.142*7³ ≈ 719 in³

Volume of composite figure = 667+719 = 1386 in³

Answer:

d. 12

Step-by-step explanation:

if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.

If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.

Answer: its d, 12

Step-by-step explanation:

Answer:

try and let me know is it correct or not line A-4 lineB-8

Step-by-step explanation:

i also use mathswatch

Answer:

Step-by-step explanation:

surface area of two trapezoids=2[(12+8)/2×3]=2[30]=60 cm²

surface area of side rectangles=10×8+10×12=10(8+12)=200 cm²

surface area of top=10×5=50 cm²

surface area of bottom=10×3=30 cm²

Total surface area=60+200+50+30=340 cm²

Answer:

Step-by-step explanation:

to find the surface area , you need to find the area of each side(face)

top: 5*10=50

the bottom of the shape: 3*10=30

the front face:10*8=80

the sides are trapezoid shapes with:different dimensions:

side :8,12 and eight of 3 ( the shape has 3 faces the same)

area=((12+8)/2)*3= 30 (30*3 faces or sides)

add the numbers: 50+30+80+(30*3)=250 cm^2

I hope it is right and good luck

Answer:

The average height is 64.45 inches.

Step-by-step explanation:

Total number of children = 9 children

Heights in inches = 63,71,60,59,74,60,60,75,58.

The average height of grandchildren can be determined by adding all the given heights and then divide by the number of grandchildren.  

Now if we add all the given heights of 9 children = 63 + 71 + 60 + 59 + 74 + 60 + 60 + 75 + 58 = 580

The average heights  = 580 / 9 = 64.45 inches.

Answer:64.4

Step-by-step explanation:

Answer: D. 95%

Step-by-step explanation: If the difference of the scores given is 5 above and below the mean, that represents 2 standard deviations.

In normal distribution, 2 standard deviations above and below the mean represent 95% of all the inputs.

Answer:

3

Step-by-step explanation:

The Absolute value of -3 is 3 because it's the distance away from 0. Both have the same distance away from 0.

The opposite number of the integer number negative 3 will be 3.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The number that produces zero when multiplied by an is known as the additive inverse of a number, or a, in arithmetic. The opposite, a shift in the sign, and negation are other names for this number.

The number is given below.

⇒ - 3

The opposite of the number negative 3 will be given as,

⇒ - (-3)

⇒ 3

The opposite number of the integer number negative 3 will be 3.

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Answer:A

Step-by-step explanation:

It is a solid line and the area below is shaded so it has to be less than the slope, hope this helped!

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Answer:

Its A because you find the slope, -1/3 which is followed by x.  The x intercept is 1 so you do plus one.  Because the line is solid and negative, it makes it a less-than equal to sign.  Hope this helps at all!

Step-by-step explanation:

Answer:

(0,5)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

y=x^2 + 3x + 5

y=(0)^2 + 3(0) +5

y=0+0+5

y=5

Since there is no x coordinate for a y-intercept, the answer is (0,5)

Answer:

A. (0, -5) is the right answer on edge 2021

Answer:

The correct option is

x = 10

Step-by-step explanation:

in a circle Given that chord  [tex]\overline {OP}[/tex] is congruent to  [tex]\overline {QR}[/tex], we have;

Measured angle m∠RZQ is congruent to measured angle m∠PZO

Congruent chords are subtended by congruent angles at the center of the circle

Therefore we have;

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°.

Answer:

x=10

Step-by-step explanation:

4·x - 11 is equal to 2·x + 9

4·x - 2·x = 9 + 11

2·x = 20

x = 10

The value of the measured angles are;

4·x - 11 = 4×10 - 11 = 40 - 11 = 29°

The value of x is 10°

Answer:

  60 square units

Step-by-step explanation:

We can bound the trapezoid with a rectangle having opposite corners at (4, 6) and (16, 16). This rectangle will have an area of (16 -4)(16 -6) = 120 square units.

From this bounding rectangle we can subtract the areas of the corner triangles. Their x-y extents (CW from upper left) are ...

  (10×6), (2×6), (6×4), (6×4)

Their areas are half the product of these base×height dimensions, so the triangles have a total area of ...

  (1/2)(60 +12 +24 +24) = 60

Then the area of the trapezoid is the difference of the area of the bounding rectangle and the area of the corner triangles:

  trapezoid area = 120 -60 = 60 . . . . square units

Answer:

I think the answers are 1 to 1 ,9 to 8 , 10 to7

Answer:

1 - 8/9 + 4/9 = 9/9 -8/9 +4/9 = (9-8+4)/9 = 5/9

Step-by-step explanation:

Answer:

The answer is 5/9.

Step-by-step explanation:

First, you have to make all the denorminator of the fractions the same by multultiplying :

[tex]1 - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{1}{ 1} - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{1 \times 9}{1 \times 9} - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]

Next, you have to make it into 1 fraction and simplify :

[tex] \frac{9}{9} - \frac{8}{9} + \frac{4}{9} [/tex]

[tex] = \frac{9 - 8 + 4}{9} [/tex]

[tex] = \frac{5}{9} [/tex]

Answer:

I think its 8

Step-by-step explanation:

=======================================================

Explanation:

The upper boundary, or upper bound, is a fence of sorts.

Note how the following values all round to 34.9, when rounding to one decimal place

We can keep going with the pattern of 9s at the end and whatever value you form will still round to 34.9; so you can see that there is no largest value we can reach that will round to 34.9

All of those values are slowly approaching 34.95, which is the upper fence I mentioned. We can get closer and closer to this value, but we can't actually reach it. Otherwise, 34.95 will round to 35.0

Answer: 214

Step-by-step explanation:

The circumference of a circle measures 360 degrees, and since minor arc EF measures 146 degrees, this means arc EDF measures [tex]360-146=214^{\circ}[/tex]

arc EDF measures is 214°

The arc is a portion of the circumference of a circle

The circumference of a circle measures 360°,

Since minor arc EF measures 146°,

arc EDF measures = 360°-146° = 214°

Hence, arc EDF measures is 214°

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Answer:

The correct answer is:

[tex]+6x^{2}\\-9y^2[/tex]

Step-by-step explanation:

We are given the term:

[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6 = 9x^{2} -y^{2} +9[/tex]

We have to fill in to the empty spaces such that the above equation gets satisfied.

First of all, let us simplify the LHS (Left Hand Side):

[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6\\\Rightarrow 3x^{2} +5y^{2} +4y^{2} [\text{ \ }] [\text{ \ }] +6 +3\\\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9[/tex]

Now, let us equate the LHS and  RHS (Right Hand Side):

[tex]\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9 = 9x^{2} -y^{2} +9[/tex]

Equating the coefficients of [tex]x^{2}\ and\ y^{2}[/tex] in LHS and RHS:

One box will have value = [tex]9x^{2} -3x^{2} =+6x^{2}[/tex]

Other box will have value = [tex]-y^{2} -9y^{2} =-10y^{2}[/tex]

The correct answer is:

[tex]+6x^{2}\\-9y^2[/tex]

So, if we fill the boxes with above values, the expression will be simplified as given.

Answer:

The correct answer is B. Positive 6 x squared and Negative 10 y squared

Step-by-step explanation:

Answer:

Jane will run more than 30 miles this week, as thus far she ran 22.    

Step-by-step explanation:

X + 22>30

         X>8

She runs more than 8 miles.

Answer:

Well, it depends.

Step-by-step explanation:

In the problem, it doesn't specify if the miles she runs is a positive integer or not, but I will assume that it is.

There are  number of miles: 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, and 31.

So t = 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, and 31

Answer:

9

Step-by-step explanation:

8−2⋅3+7

PEMDAS

Multiply and divide first

8−6+7

Then add and subtract

2+7

9

Answer:

9

Step-by-step explanation:

Remember to follow the order of operations, PEMDAS.  Note that PEMDAS =

Parenthesis

Exponent (& Roots)

Multiplication

Division

Addition

Subtraction

First, multiply -2 with 3:

-2 * 3 = -6

Next, follow the left -> right rule. First subtract, then add:

8 - 6 = 2

2 + 7 = 9

9 is your answer.

~

Answer:

[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]

Step-by-step explanation:

The blue parabola is only a translated version of the red parabola. The standard form of a vertical parabola centered at (h,k), that is, a parabola whose axis of symmetry is parallel to y-axis, is of the form:

[tex]y - k = C\cdot (x-h)^{2}[/tex]

Where:

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex with respect to origin, dimensionless.

[tex]C[/tex] - Vertex constant, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, then vertex is an absolute maximum).

Since both parabolas have absolute minima and it is told that have the same shape, the vertex constant of the blue parabola is:

[tex]C = 1[/tex]

After a quick glance, the location of the vertex of the blue parabola with respect to the origin is:

[tex]V(x,y) = (-3,-2)[/tex]

The standard form of the blue parabola is [tex]y+2 = (x+3)^{2}[/tex]. Its expanded form is obtained after expanding the algebraic expression and clearing the independent variable (y):

[tex]y + 2 = x^{2} +6\cdot x + 9[/tex]

[tex]y = x^{2} + 6\cdot x + 7[/tex]

Then, the blue parabola is represented by the following equations:

[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]

Answer:

Option B

Step-by-step explanation:

The formula for geometric sequence is given by:

[tex]a_{n} = a_{1}r^{n-1}[/tex]

Where,

[tex]a_{n}[/tex] = nth term of sequence

[tex]a_{1}[/tex] = 1st term of the sequence

[tex]r[/tex] = common ratio (ration of the second term to the first term)

So,

Here:

[tex]a_{1}[/tex] = 12

[tex]r[/tex] = 6/12 = 1/2

Plugging in the values of [tex]a_{1}[/tex] and r in the above formula:

=> [tex]a_{n} = 12 * (\frac{1}{2}) ^ {n-1}[/tex]

Answer:

The three roots have a multiplicity of 2

Step-by-step explanation:

The zeros of the function refers to those points on the x-axis on which the curve passes through

These are the points -2,0 and 4

Now we want to determine which of these points has a multiplicity of 2?

The correct answer is that all have a multiplicity of 2 since 2 can be factored out

2(-1) , 2(0) and 2(2)

Answer:

the answer is A. none

Answer:

80cm^2

Step-by-step explanation:

Answer:

80 ft^2

Step-by-step explanation:

To find the area of a triangle, multiply 1/2*base*height. When you plug in the numbers, the formula looks like this: 1/2*10*16. This will give you 80 ft^2

Answer:

117.5

Step-by-step explanation:

The formula for the area A of a rhombus is

A = ½d₁d₂,

where d₁ and d₂ are the lengths of the diagonals.

A = ½ × 17 × 15 = 117.5

Answer: 127.5 sq. units

Step-by-step explanation:

Answer:

Tan(x) = 1/[tex]\sqrt{3}[/tex]

We know that Tan 30 = 1/[tex]\sqrt{3}[/tex]

Therefore, x = 30 degrees

Answer:

[tex]A=P+P\times S\%[/tex]

Step-by-step explanation:

For calculating the sales tax of a product, it is required to first multiply the original cost price of the product by the sales tax percentage.  

Once the sales tax has been computed add it to the original cost price in order to determine the total cost of the product.

The formula of final amount is:

[tex]A=P+P\times S\%[/tex]

Here,

A = final amount

P = original cost price

S = sales tax percentage

Answer:

1.$25.68

2.$51.36

3. 77.04

Step-by-step explanation:

I just took the test.

Answer:

Step-by-step explanation:

[tex]30g ----> 2.5g -fat\\566g ----> xg -fat\\30x = 1415\\\frac{30x}{30} =\frac{1415}{30} \\\\x = 47.1666\\\\x = 47.2g of Fat[/tex]

Answer:

F. cylinder

Step-by-step explanation:

A cylinder has a circle for its base, which has no vertices and is not a polygon. This, therefore, disqualifies a cylinder as a polyhedron.