1)
W
K
V
A) 20.8
C) 11
22.2
?
11
U
J
T
B) 16.6
D) 18

Answer:

1390 cm^3

Step-by-step explanation:

9 x 7 x 10 = 630 cm^3 for the rectang prism top

area * 10 for the bottom

8 x ( 12 + 7)/2   * 10 = 760 cm^3  for the trap base

total = 1390 cm^3

Answer:

[tex]f(x)=x^2+2x-3[/tex]

Step-by-step explanation:

[tex]\textsf{General form of a quadratic function}:f(x)=ax^2+bx+c[/tex]

Equation 1

[tex]\begin{aligned}f(1) &=0\\ \implies a(1)^2+b(1)+c &=0\\ a+b+c &=0 \end{aligned}[/tex]

Equation 2

[tex]\begin{aligned}f(-1) &=-4\\ \implies a(-1)^2+b(-1)+c &=-4\\ a-b+c &=-4 \end{aligned}[/tex]

Equation 3

[tex]\begin{aligned}f(2) &=5\\ \implies a(2)^2+b(2)+c &=5\\ 4a+2b+c &=5 \end{aligned}[/tex]

Add Equation 1 and Equation 2:

[tex]\begin{array}{r l}a+b+c & =0 \\+\quad a-b+c & =-4 \\\cline{1-2} 2a+2c & =-4 \end{array}[/tex]

[tex]\implies a+c=-2[/tex]

Substitute [tex]a+c=-2[/tex] into Equation 1 and solve for b:

[tex]\begin{aligned}\implies a+b+c &=0\\ b-2 &=0\\ b &=2\end{aligned}[/tex]

Substitute [tex]a=-2-c[/tex]  and  [tex]b=2[/tex]  into Equation 3 and solve for c:

[tex]\begin{aligned} \implies 4a+2b+c&=5\\ 4(-2-c)+2(2)+c &=5\\-8-4c+4+c &=5\\ -3c &=9\\ c &=-3\end{aligned}[/tex]

Substitute found value of c into [tex]a=-2-c[/tex] and solve for a:

[tex]\implies a=-2-(-3)=1[/tex]

Therefore, a = 1, b = 2 and c = -3

Substitute the found values into the general form of a quadratic function to form the final equation:

[tex]f(x)=x^2+2x-3[/tex]

Answer:

takes him 8.4 hrs

Step-by-step explanation:

if 1/4=18inch then 3 1/2=7/2 so 7/2 divide by 1/4=14 then 18 x 14=252

so distance is 252 miles

speed is 30mph so 252/30=8.4h

the answer might need the 0.4 in hrs too

Answer:

D

Step-by-step explanation:

Characteristics of scientific models

Out of the given options, only D is an incorrect statement.

Answer:

D

Step-by-step explanation:

Just took the test

By looking at the graph, we can see that:

For a function:

y = f(x)

We define the domain as the set of the possible inputs x, and the range as the set of the possible outputs y.

Here, to find the domain, we need to see the range of "horizontal values" that the graph takes. We can see that it goes from -7 to 6, then the domain is:

-7 ≤ x ≤ 6

The range goes from -4 to 5, so the range is: -4 ≤ y ≤ 5.

Then the correct option is the first one.

If you want to learn more about domain and range, you can read:

https://brainly.com/question/1770447

The volume of the solid that results when the region enclosed by the given curves y = e⁻²ˣ, y = 0, x = 0, and x = 1 is revolved around the x-axis and the y-axis is 0.77 and 0.7135.

Revolving the region bordered by y = f(x) and the x-axis on the interval [a, b] around the x-axis generates the volume (V) of a solid.

The volume is given as

[tex]\rm Volume = \int _a^b \pi y^2 \ dx[/tex]

The volume of the solid that results when the region enclosed by the given curves y = e⁻²ˣ, y = 0, x = 0, and x = 1 is revolved around the x-axis.

[tex]\rm Volume = \int _0^1 \pi (e^{-2x})^2 \ dx\\\\\\Volume = \int _0^1 \pi (e^{-4x}) dx\\\\\\Volume = \pi [\dfrac{e^{-4x}}{-4}]_0^1\\\\\\Volume = - \dfrac{\pi}{4} [e^{-4} - e^0]\\\\\\Volume = -\dfrac{\pi}{4} [-0.98168]\\\\\\Volume = 0.77[/tex]

The volume of the solid that results when the region enclosed by the given curves y = e⁻²ˣ, y = 0, x = 0, and x = 1 is revolved around the y-axis.

[tex]\rm Volume = \pi \left [\int_{0}^{0.135} dy + \int_{0.135}^{1}\left ( \dfrac{\ln x}{-2} \right )^{2}dy \right ]\\\\Volume =0.71375[/tex]

More about the revolution of the curve link is given below.

https://brainly.com/question/14640419

#SPJ1

charlotte buys a rectangular rug with an area of 27/4 square meters.

The width of the rug is 3/2 meters. So the length of the rectangular rug is 9/2 meters.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

charlotte buys a rectangular rug with an area of 27/4 square meters.

The width of the rug is 3/2 meters.

Area of the rectangular rug = 27/4 square meters

Let us assume the length of the rug = x meters

Then,

Area of the rug =  length × Width

[tex]27/4 = (3/2) \times x\\\\x = (27/4) \times (2/3) \\x = 9/2[/tex]

So the length of the rectangular rug is 9/2 meters.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ1

Answer:

See below

Step-by-step explanation:

Ina right traingle   tan (angle) = (opposite side) / (adjacent side)

So  tan A  = sqrt (161)/8       exactly

[tex]\qquad\qquad\displaystyle \huge Answer[/tex]

Let's check if (3 , 6) is the point of intersection of the given lines ~

[tex] \qquad \displaystyle \: y = 4x - 2[/tex]

and

[tex] \qquad \displaystyle \: y = \frac{1}{2} x + 5[/tex]

If the point is the point of intersection of these two lines, then it should satisfy both the equations ~

let's try each of them, using x coordinate of point.

[tex] \qquad \displaystyle \: y = 4(3) - 2[/tex]

[tex] \qquad \displaystyle \: y = 12 - 2[/tex]

[tex] \qquad \displaystyle \: y = 10[/tex]

So, the point didn't actually satisfy one of the equation. hence we can infer that the given statement is wrong.

Answer:

Step-by-step explanation:

12y-19= 6y+1

12y-6y = 1 +19

6y = 20

y = 20/6

y= 10/3 or 3.33..

Answer:

so whats the question now?

Step-by-step explanation:

Answer:

be specific

Step-by-step explanation:

which shaded eing

The equation that correctly uses the law of cosines to solve for the missing side length of trianglepqr is 8^2 = 7^2 +11^2 - 2(7)(11) cos <P

For us to use the cosine formula, an angle must be situated between two sides of the triangle.

According to the rule;

c^2 = a^2 + b^2 - 2ab cos C

From the given diagram, if cos<P is the reference angle, then;

a = 11

b = 7

c = 8

Substiute

8^2 = 7^2 +11^2 - 2(7)(11) cos <P

Hence the equation that correctly uses the law of cosines to solve for the missing side length of trianglepqr is 8^2 = 7^2 +11^2 - 2(7)(11) cos <P

Learn more on law of cosine here: https://brainly.com/question/8288607

Answer:

Step-by-step explanation:

No this is not the right answer. 2+9 equals 11.

Answer:

8,13,48

Step-by-step explanation:

Third = A(3) = -2 + (3-1)(5) = -2 + 10 = 8

Fourth = A(4) = -2 +(4-1)(5) = -2 + 15 = 13

Eleventh = A(11) = -2 + (11-1)(5) = -2 + 50 = 48

Answer: 10

Step-by-step explanation:

Given that a circle has the center at

(6.0) and the circle passes through the point (2,−3).So the distance between these two points will give us the measure of the radius.So(x1,y1)=(6

So by using the distance formula the radius of the given circle is-r=√(x2−x1)2+(y2−y1)2r=√(2−6)2+(−3−0)2r=√16+9r=√25=5 unitsSo the diameter of the given circle is=2rd==2(5)d=10units

Let's see

Find distance between these points and radius

Answer:

Yes, if you know the coordinates of a point PP in your original figure as (x,y)(x,y), you can figure out the coordinates of PP following rotation and given by (x′,y′)(x′,y′) as

x′=−yx′=−y

y′=xy′=x

[tex]2(x - 9) = 9 \div ( - \frac{1}{3} ) \\ [/tex]

[tex]2(x - 9) = 9 \times ( - 3)[/tex]

[tex]2(x - 9) = - 27[/tex]

[tex] \frac{2(x - 9)}{2} = \frac{ - 27}{2} \\ [/tex]

[tex]x - 9 = - 13.5[/tex]

[tex]x - 9 + 9 = - 13.5 + 9[/tex]

[tex]x = - 4.5[/tex]

Thus option B is the correct answer.

Answer:A, commutative

Step-by-step explanation: The commutative property of multiplication states that

the order in which we multiply numbers does not change the product.

Answer:

A. Commutative

Step-by-step explanation:

I believe it's a because you didn't use +/- so I assumed it was multiplication in which case, the commutative property of multiplication, which states that the order we multiply in does not affect the product.

Answer:

Determine the solutions of the equation. What solution makes sense for the situation?

x = 8

width = 8inches

length = 13

Answer:

In exponential form given function is equal to [tex]N = b^{r}[/tex]

Step-by-step explanation:

We are given with function,

[tex]log_{b} ^[/tex] [tex]^{N} = r[/tex]

We have to express it in exponential form.

Consider,

[tex]log_{b}^[/tex] [tex]^ {N} = r[/tex]

exponential both side to the power of b as base of given log function is b.

we get

[tex]b ^{logb}[/tex] [tex]^ {N} = b^{r}[/tex]

[tex]N = b^{r}[/tex]

Therefore In exponential form given function is equal to [tex]N = b^ {r}[/tex]

Answer:

9 weeks :)

Step-by-step explanation:

First we subtract :)

2145 - 952.50 = 1192.50

Now we divide :)

265/2 = 132.5

Now we divide 1 more time :)

1192.50/132.50 = 9

It will take 9 weeks :)

Have an amzing day!!

Please rate and mark brainliest!!

Let's see

#a

Take 28

#2

Take 9,10

Answer:

Two-digit number greater than 25:   32

Rewrite 32 as the difference of 2 numbers: 40 - 8

Therefore, x = 40  and  y = 8

[tex]\begin{aligned}\implies (40-8)^2 & =40^2-2(40)(8)+8^2\\ & = (4 \cdot 10)^2-(80)(8)+64\\ & = 4^2 \cdot 10^2-640+64\\ & = 16 \cdot 100-640+64\\ & = 1600-640+64\\ & = 960+64\\ & = 1024\end{aligned}[/tex]

Let a = 10

Let b = 11

[tex]\begin{aligned}\implies 10^3+11^3 & =(10+11)(10^2-10 \cdot 11+11^2)\\& = 21(100-110+121)\\ & = 21(-10+121)\\ & = 21(111)\\& = 21 (100 + 10 + 1)\\ & = (21 \cdot 100)+(21 \cdot 10)+(21 \cdot 1)\\ & = 2100 +210+21\\ & = 2310 + 21\\ & = 2331\end{aligned}[/tex]

Answer:

The answer would be 48 cm^2

Step-by-step explanation:

You have to do 9x4 and then add 6x2 to that.
9x4 is 36 and 6x2 is 12.
36+12 is 48. Hope this helps! :)

Answer:

The answer would be 48 cm^2