Which number sentence is NOT true?
A. |-6.7| = 6.7
B. |0| < |-45|
C. |45| > 0
D. |6.7| > |-45|

Answer:

[tex]\frac{6\left(x+4\right)\left(x+3\right)}{24\left(x-3\right)\left(x+4\right)}=\frac{x+3}{4\left(x-3\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:6\\=\frac{\left(x+4\right)\left(x+3\right)}{4\left(x-3\right)\left(x+4\right)}\\\mathrm{Cancel\:the\:common\:factor:}\:x+4[/tex]

Hope this helps!!!

[tex]Sofia[/tex]

hmmm was going to do a quick mockup, but it might be too wide, so let's nevermind that piece.

so let's see, the center of this ellipse is at (3,1), and a focus point is at (8,1), notice, the y-coordinate is the same, meaning the distance between those two points is "c", which is 5, so c = 5.

We also know that the directrix is x = 36.8, well, that's a vertical line, if the line is vertical, that means the ellipse is running perpendicular to that, namely it has a major axis over the x-axis, so is horizontal.

[tex]\bf \textit{ellipse, horizontal major axis} \\\\ \cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2- b ^2}\\ eccentricity\quad e=\cfrac{c}{a}\\\\ directrix=h\pm \cfrac{a^2}{c} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \stackrel{\textit{its directrix}}{x=h\pm\cfrac{a^2}{c}}\implies \stackrel{\textit{using one directrix}}{36.8=h+\cfrac{a^2}{c}}\qquad \begin{cases} h=3\\ k=1\\ c=5 \end{cases}\implies 36.8=3+\cfrac{a^2}{5} \\\\\\ 33.8=\cfrac{a^2}{5}\implies \boxed{169=a^2}\implies 13=a \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{\textit{recall that }}{c=\sqrt{a^2-b^2}}\implies 5=\sqrt{169-b^2}\implies 5^2=169-b^2\implies 5^2+b^2=169 \\\\\\ b^2=169-5^2\implies \boxed{b^2=144}\implies b=12 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \cfrac{(x-3)^2}{169}+\cfrac{(y-1)^2}{144}=1~\hfill[/tex]

Answer:

a  on edgn btw

Step-by-step explanation:

Solution:

Given Expression is 1/40* x = 1/8

Step : Define x in the Equation:

Step : Divide the Equation by 8

Step : Do cross multiplication

Step : Arrange it in particular form

____________________________

☞ 1/40x = 1/8

☞ x/40 = 1/8

☞ x = ⅛ × 40

☞ x = 5

.

Therefore, Answer is 5.

x = 5

1/40 of x is the same x divided by 40, so let’s put that into the equation to get x/40 = 1/8.

Now, multiply both sides of the equation by 40 to cancel out the division by 40.

x = 1/8 * 40

x = 40/8

Now, just simplify.

x = 5

Answer:

700,000

Step-by-step explanation:

2 = million

7 = hundred thousands

4 = ten thousands

1 = thousands

2 = hundreds

0 = tens

3 = ones

I hope I helped!

Let me know if you need anything else!

~ Zoe

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

There are 60 minutes in 1 hour

To express as a fraction

[tex]\frac{45}{60}[/tex]

Divide numerator/denominator by 15

[tex]\frac{45}{60}[/tex] = [tex]\frac{3}{4}[/tex]

yes B is the correct answer, the perimeter would be 16

Answer:

B and 16

Step-by-step explanation:

It's B because all the other answers would make a rectangular shape. You can find the plots on the lie by figuring out what coordinate each number is. For example, (3,1) the 3 is the x coordinate and 1 is the y coordinate. To find the perimeter you count the the boxes between the dots. 1 side is 4 and since it's the other sides are 4 you add it up to get 16 units squared.

Step-by-step explanation:

[tex]area = \frac{1}{2} (x + 3)(x + 5) = 24 \\ [/tex]

then

[tex](x + 3)(x + 5) = 48[/tex]

[tex] {x}^{2} + 8x + 15 = 48 [/tex]

[tex] {x}^{2} + 8x + 15 - 48 = 0 \\ {x}^{2} + 8x - 33 = 0[/tex]

[tex] {x}^{2} - 3x + 11x - 33 = 0 \\ x(x - 3) + 11(x - 3) = 0 \\ (x - 3)(x + 11) = 0[/tex]

so

[tex]x = 3 \: or \: x = - 11(reject \: because \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x > 0)[/tex]

hence,

[tex]x = 3[/tex]

Thus, one leg is 8 and other leg is 6.

Since it is a right triangle then we have

[tex]hypotenuse = \sqrt{ {8}^{2} + {6}^{2} } = \sqrt{100} = 10[/tex]

Finally,

[tex]perimeter = 8 + 6 + 10 = 24(ft)[/tex]

The surface area of the triangular prism is 1950 square inches, computed by summing the areas of its constituent triangles and rectangles.

Surface area refers to the measure of the total area that the surface of an object occupies. It is a crucial geometric concept that varies for different shapes and dimensions in geometry, encompassing diverse forms like spheres, cubes, cuboids, cones, and cylinders. Each geometric shape possesses unique formulas for calculating its surface area.

Considering the provided net for a triangular prism with side lengths a, b, and c, and altitude d, the surface area is computed by summing the areas of its constituent shapes – two triangles and three rectangles. The formula for the total surface area is given as:

Total Surface Area = Surface Area of Triangle + Surface Area of Rectangle

Detailed calculations involve substituting the given values for side lengths and altitude into the formulas for the surface area of a triangle and a rectangle. For the triangular prism described, the total surface area is determined as:

Total Surface Area = d * a + b * a + 2 * c * b

Substituting the given values (d = 20, a = 44, b = 14, and c = 30), the calculation yields:

Total Surface Area = (22 * 45) + (12 * 45) + 2 * (30 * 14) = 1950

Therefore, the surface area of the given figure is 1950 square inches.

Final answer:

The surface area of the triangular prism is calculated by adding the areas of the two triangular faces and three rectangular faces. Upon calculation, the areas of two triangles are 600 square inches, and the rectangles are 900 and 280 square inches for sides a and b, respectively. However, none of the provided answer choices match the calculated surface area of 1780 square inches.

Explanation:

To find the surface area of a triangular prism, we need to find the area of all its faces. We have two triangular faces and three rectangular faces. The area of each triangular face is calculated using the formula A = bh/2, where b is the base and h is the height. Since side c is 30 inches and the altitude d is 20 inches, the area of one triangular face is:

A triangle = (c x d) / 2

= (30 inches x 20 inches) / 2

= 600 / 2

= 300 square inches

Since there are two triangular faces, we double this to get 600 square inches for both.

The rectangular faces consist of the sides a, b, and c. Their areas are a x d, b x d and c x d, respectively. So we calculate:

Side a: 45 inches x 20 inches = 900 square inches

Side b: 14 inches x 20 inches = 280 square inches

Side c (already computed as part of triangular faces)

Sum the areas of all these faces to get the total surface area:

Total surface area = (Area of triangles) + (Area of rectangles)

= 600 square inches (triangles) + 900 square inches (side a) + 280 square inches (side b)

= 1780 square inches

The correct answer must include the area of both triangular faces and all three rectangular faces. Since none of the given options match the computed total surface area, it's possible there may have been an error in the provided options or in the dimensions given for the prism.

Lowest number is 15,147 the highest number is 19,835 simple subtract the lowest from the highest you get 4688

Answer:

The answer is 4,688

Hope this helped : )

Step-by-step explanation:

the range is the difference between the largest and smallest numbers in a set of data.

So, for this set of data. To find the range you subtract 19,835 - 15,147 = 4,688

Answer:

2.3%

Step-by-step explanation:

The formula to convert x into z distribution is

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where z is the test statistic

x is what we are looking for (in this case 37)

[tex]\mu[/tex] is the mean (in this case, it is 25)

[tex]\sigma[/tex] is the standard deviation (we have 6)

Plugging these into the formula, we get:

[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{37-25}{6}\\z=2[/tex]

Thus we can say we want [tex]P(z\geq 2)[/tex]

Note: [tex]P(z\geq a)=1-P(z\leq a)[/tex]

The table given is for any  z where [tex]P(z\leq a)[/tex]

Thus, now we have:

[tex]P(z\geq 2)\\=1-P(z\leq 2)\\=1-0.9772\\=0.0228\\[/tex]

0.0228 into percentage is 0.0228 * 100 = 2.28%

Rounded, we get 2.3%

Third answer choice is right.

Answer:

C fosho

Step-by-step explanation:

GL on tests/exams

Answer:

the answer is c not sure if right

Answer:

1. 21

2. -4

3. 20

4. 1

5. 4

6. -6

Step-by-step explanation:

Answer:

1840

Step-by-step explanation:

345+23=368*5

Answer: 1840

Step-by-step explanation:

you add 345 + 23 and multiply by 5

Answer:

A.

Step-by-step explanation:

when you plot the vertices;

Side AB is perpendicular to side BC

Side AB is parallel to side DC

Side AC is perpendicular to AB

Side AC is perpendicular to DC

Side AC is parallel to side BC

The conclusion made is that ABCD is a rectangle

Answer:

what are on the tabs

Step-by-step explanation:

The ordered pair given in the first row of the table can be written using Function notation as (x, f(x)), which is (3, -2).

f(3) is -2.

f(x) = -5 when x is 4.

Now, let's complete the statements:

f(3) is -2.

This statement tells us that when the input value (x) is 3, the function f(x) evaluates to -2. In the table, you can see that when x = 3, f(x) is indeed -2.

f(x) = -5 when x is 4.

This statement indicates that when the input value (x) is 4, the function f(x) takes on the value of -5. In the table, you can see that when x = 4, f(x) is -5.

In summary, these statements highlight specific values of the function f(x) for particular input values (x) based on the table of values provided. The function notation f(3) = -2 indicates that when x = 3, the function returns -2, and the statement f(x) = -5 when x is 4 tells us that when x = 4, the function evaluates to -5, as observed in the table.

For more such questions on Function notation

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Answer:

43

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

using pemdas you would first do exponent

so 6*6 is 36

so you have 36-1*3+4/2+8

then you would do mutiplication

so -1 * 3 is -3

then divide 4/2 which is 2

then add and subtract

36-3+2+8

46-3

43

Answer:

Third option

m = 2.25

Step-by-step explanation:

The slope of the function is equal to its rate of change between two points.

For example, for a couple of points [tex](x_1, y_1),\ (x_2, y_2)[/tex]

The slope is:

[tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]

In this problem we have the following points

1.(2, 8.50) , 2. (5, 15.25), 3. (8, 22.00) , 4. (12, 31.00)

We calculate the slope between the first two points

[tex]m =\frac{15.25-8.50}{5-2}=2.25[/tex]

We calculate the slope between the points 3 and 4

[tex]m =\frac{31-22}{8-4}=2.25[/tex]

We calculate the slope between the points 2 and 3

[tex]m =\frac{22-15.25}{8-5}=2.25[/tex]

The slope is always the same. Therefore m is constant and the fution is a line of slope m = 2.25

Answer:it’s C 2.25

Step-by-step explanation:

It will cost $1040 in the two rooms

For this case we have that the total cost will be given by:

[tex]C {t} = C {b} + C_ {f}[/tex]

Where:

[tex]C_ {b}:[/tex] Cost of installing carpet in the basement

[tex]C_ {f}:[/tex] Cost of installing carpet in the family room

So:

[tex]C_ {b} = 62 \ yard ^ 2 * 13 \frac {dollars} {yard ^ 2}\\C_ {b} = 806 \ dollars[/tex]

Also:

[tex]C_ {f} = 18 \ yard ^ 2 * 13 \frac {dollars} {yard ^ 2}\\C_ {f} = 234 \ dollars[/tex]

Thus, the total cost will be:

[tex]C_ {t} = 806 + 234\\C_ {t} = 1040[/tex]

ANswer:

The total cost will be 1040 dollars

Answer:

D

Step-by-step explanation:

The augmented matrix for the system of three equaitons is

[tex]\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\5&2&-2&|&11\\5&-4&4&|&-7\end{array}\right)[/tex]

Multiply the first row by 5, the second row by -3 and add these two rows:

[tex]\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\5&-4&4&|&-7\end{array}\right)[/tex]

Subtract the third row from the second:

[tex]\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&6&-6&|&18\end{array}\right)[/tex]

Divide the third row by 6:

[tex]\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&1&-1&|&3\end{array}\right)[/tex]

Now multiply  the third equation by 26 and add it to the second row:

[tex]\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&0&-45&|&-90\end{array}\right)[/tex]

You get the system of three equations:

[tex]\left\{\begin{array}{r}3x-4y-5z=-27\\-26y-19z=-168\\-45z=-90\end{array}\right.[/tex]

From the third equation

[tex]z=\dfrac{90}{45}=2.[/tex]

Substitute z=2 into the second equation:

[tex]-26y-19\cdot 2=-168\\ \\-26y-38=-168\\ \\-26y=-168+38=-130\\ \\y=\dfrac{130}{26}=5.[/tex]

Now substitute z=2 and y=5 into the first equation:

[tex]3x-4\cdot 5-5\cdot 2=-27\\ \\3x-20-10=-27\\ \\3x-30=-27\\ \\3x=-27+30=3\\ \\x=1.[/tex]

The solution is (1,5,2)

The correct answer is option d (1, 5, 2).

To solve the system of equations, let's write the augmented matrix and perform row operations to get it into reduced row-echelon form (RREF). The system of equations is as follows:

3x−4y+5z (1)

5x+2y−2z  (2)

5x−4y+4z  (3)

The augmented matrix for this system is:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\5&2&-2&|11\\5&-4&4&|7\end{array}\right][/tex]

Now, let's perform row operations to get the reduced row-echelon form:

Subtract 5 times the first row from the second row:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&22&-27&|-134\\5&-4&4&|7\end{array}\right][/tex]

Subtract 5 times the first row from the third row:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&22&-27&|-134\\0&16&-21&|-118\end{array}\right][/tex]

Multiply the second row by 8/11:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&1&-8/11&|-67/11\\0&16&-21&|-118\end{array}\right][/tex]

Subtract 16 times the second row from the third row:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&1&-8/11&|-67/11\\0&0&5/11&|10/11\end{array}\right][/tex]

Multiply the third row by 11/5:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&1&-8/11&|-67/11\\0&0&1&|2\end{array}\right][/tex]

Add 4/11 ​times the third row to the second row:

[tex]\left[\begin{array}{ccc}3&-4&5&|27\\0&1&0&|1\\0&0&1&|2\end{array}\right][/tex]

Add 4 times the third row to the first row:

[tex]\left[\begin{array}{ccc}3&-4&0&|35\\0&1&0&|1\\0&0&1&|2\end{array}\right][/tex]

Add 4 times the second row to the first row:

[tex]\left[\begin{array}{ccc}3&0&0&|39\\0&1&0&|1\\0&0&1&|2\end{array}\right][/tex]

Now, we can read off the solutions:

3x=39⇒x=13

y=1

z=2

So, the correct answer is (d) (1,5,2).

Answer:

40

Step-by-step explanation:

      10

x       4

    =40

Answer:

4*10 = C. 40

Step-by-step explanation:

Add 10 4 times and get 40!!

SIMPLE HOPE IT HEPLS PLEASE MARK BRAINLIST!!

Answer:

Graph A.

Step-by-step explanation:

We will try to understand the graph plotted for the change in temperature for whole day.

In the morning, temperature starts out around 50°F. As the day goes on, the temperature rises first slowly- Slope of the first line will be less.

Then temperature rises more quickly - Slope of the second line will be more than first line.

It stays constant for an hour- third line will be parallel to the x-axis for one hour gap.

Then the temperature dropped down slowly - Last line of the graph will go down.

By the understanding we made for the graph we find graph A is the answer.

Answer:

the top left graph

The correct answer is:

D=Trapezoidal Prism

Yep! You're right!

It is trapezoidal prism.

Answer:

s = ∛( 1953.125 cm³ ) = 12.5 cm

Step-by-step explanation:

The volume of a cube is V = s³, where s represents the length of one edge.

Here, V = s³ = 1953.125 cm³, and we need to solve for s.  Do this by taking the cube root of both sides:

s = ∛( 1953.125 cm³ ) = 12.5 cm

y=-2x+3 in slope-intercept form

3 is the y-intercept and -2 is the slope

Answer:

2x - y + 3 = 0

Step-by-step explanation:

The formula used to find the equation is:

[tex]y-y_1= \frac{(y_2-y_1)}{(x_2-x_1)} (x-x_1)[/tex]

Here, (x₁, y₁) = (0, 3)

and (x₂, y₂) = (1, 1)

Putting all values in above formula,

[tex]y-3= \frac{(1-3}{(1-0)} (x-0)[/tex]

⇒  [tex]y - 3 =\frac{-2}{1}x[/tex]

⇒ y - 3 = 2x

⇒ 2x - y + 3 = 0

which is the requires equation.

Answer:

The answer is B.

Step-by-step explanation:

the angle is not even 90 degrees so anything bigger is an automatic no and it's pretty obvious that the answer is not 0. Lol

The approximate measure of an angle can be estimated using nearby or known angles as reference points or by using a protractor.

The approximate measure of an angle can be determined using various methods, including estimation or using a protractor. If you are estimating the measure of an angle, you can use nearby angles or known angles as reference points. For example, if you have a right angle measuring 90 degrees, and the given angle appears to be slightly less than a right angle, you can estimate it to be around 85-88 degrees.

Alternatively, you can use a protractor which is a tool specifically designed to measure angles. Place the center of the protractor on the vertex of the angle and line up one of the lines on the protractor with one of the sides of the angle. Read the measurement indicated on the protractor scale to determine the approximate measure of the angle.

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Answer:

[tex]\large\boxed{\{x|x\in\mathbb{R},\ x<-7\}}[/tex]

Step-by-step explanation:

[tex]x+2<-5\qquad\text{subtract 2 from both sides}\\\\x+2-2<-5-2\\\\x<-7\to\{x|x\in\mathbb{R},\ x<-7\}[/tex]

Answer:

x < -7; the answer is the first choice.

Step-by-step explanation:

x + 2 < -5

Subtract 2 from both sides.

x < -7

The answer is the first choice.

Answer:

Step-by-step explanation:

1. We aren't worried about the area of the base, so the area is the area of the 4 triangles.  Each triangle has an area of half the base times the height.

A = 4 (½ bh)

A = 2 bh

Given b = 6 and h (the height of the triangle, not the pyramid) = 5:

A = 2 (6) (5)

A = 60 ft²

2. This time, we want to include the area of the rectangular base, so:

A = b₁b₂ + 2 (½ b₁h₁) + 2 (½ b₂h₂)

A = b₁b₂ + b₁h₁ + b₂h₂

Given b₁ = 78 m, b₂ = 50 m, h₁ = 52 m, and h₂ = 60 m:

A = (78) (50) + (78) (52) + (50) (60)

A = 10,956 m²

The approximate surface area of a cylinder with a height of 12 meters and a base radius of 2 meters is 175.84 square meters, using 3.14 for pi.

The question asks for the approximate surface area of a cylinder with specific dimensions, using 3.14 for π. The surface area of a cylinder can be calculated through the formula for surface area which includes the areas of the two bases and the side surface. The area of one base is πr², which is the area of a circle. For our cylinder, with a base radius (r) of 2 meters, the area of one base is 3.14 × (2 m)² = 12.56 m². Since the cylinder has two bases, you double this area. The side surface is a rectangle when rolled out, and its area is the perimeter of the base circle (circumference) times the height (h) of the cylinder. The circumference (C) of the base is 2πr, so for our cylinder C = 2 × 3.14 × 2 m = 12.56 m. The side surface area is therefore C × h = 12.56 m × 12 m = 150.72 m². Add the areas of the two bases and the side surface to find the total surface area: 2 × base area + side surface area = 2 × 12.56 m² + 150.72 m² = 175.84 m².

Answer:

x = -4

Step-by-step explanation:

a vertical line is the x-coordinate in an ordered pair, while a horizontal line is the y-coordinate in an ordered pair

a useful mnemonic is VUX/HOY which stands for:

VUX:

Vertical line

Undefined slope

X: x coordinate

HOY:

Horizontal line

0 is the slope

Y: y coordinate

Of the boys surveyed, more prefer cats. Of the girls survey, more prefer dogs. The does appear to be an association between gender and animal preference.

In this problem, we have that boys and girls have different preferences regarding animals, that is, from the table:

Hence there does appear to be an association between gender and animal preference.

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