Natalie lives 1/6 mile from school. Peter lives 3/10 mile from school. How many miles further does Peter live from the school than Natalie?

Answer:

Rotated about an axis

Step-by-step explanation:

APEX

Reflectional symmetry is the quality a design has if it maintains all characteristics when it is (blank) lying in its plane Option: A) rotated about an axis.

Consider a plane. Consider a design or shape on that plane. Now consider an axis.

If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, then that shape is called to have a reflectional symmetry.

Instead of that mirror intuition, we can also think that we sort of rotated that image about that considered axis, and after half rotation, the figure is again onto its plane. If that rotated figure looks alike to the initial figure, then that figure has rotational symmetry.

Thus, reflectional symmetry is the quality a design has if it maintains all characteristics when it is (blank) lying in its plane Option: A) rotated about an axis.

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Answer:

Production of  2800  juice boxes is the break even point.

Step-by-step explanation:

Break-even point is the point where profit is zero and number of manufactured goods are all sold

Let number of juice boxes be y

charges of local store for 1 juice box= $0.65

charges of local store for y juice box=$0.65y

Factory cost of y juices boxes= $1400 + $0.15y

Assuming all juice boxes manufactured can be sold, to find the break-even point

charges of local store for y juice box= Factory cost of y juices boxes

$0.65y=$1400 + $0.15y

$0.65y-$0.15y= $1400

$0.50y=$1400

y= 1400/0.5

y=2800

hence production of  2800  juice boxes is the break even point!

To solve this problem, you would have to apply the Pythagorean Theorem: a^2+b^2=c^2

X is the hypotenuse; therefore:

24^2+7^2=x^2

576+49=x^2

625=x^2

To solve this you would have to figure out what the square root of 625 is.

Answer: 25

Step-by-step explanation:

Pythagoreans theory

a2 + b2 = c2

24(square) + 7(square) =c(square)

576 + 49= c square

625=c square

c=√625

c=25

Answer:

A. 26°

Step-by-step explanation:

If ON =OL, then the two triangles are are similar.

The base angles must be equal.

[tex](9x-8)\degree=(7x+8)\degree[/tex]

We group the similar terms to obtain:

[tex]9x-7x=8+8[/tex]

[tex]2x=16[/tex]

Divide through by 2 to get:

x=8

[tex]m\angle OML=90-(7x+8)[/tex]

Substitute x=8

[tex]m\angle OML=90-(7(8)+8)[/tex]

[tex]m\angle OML=90-(56+8)[/tex]

[tex]m\angle OML=26\degree[/tex]

Answer:

The correct answer is option A. 26°

Step-by-step explanation:

From the figure we can see that,

ON = OL

OM ⊥ NL

Therefore m<N = m<L

To find the value of x

m<N = m<L

7x  + 8 = 9x -8

9x - 7x = 8 + 8

2x = 16

x = 8

To find the value of m<OML

x = 8

m<L = 9x - 8

= 9*8 - 8 = 72 - 8 = 64

m<OML = 180 - (<L + <O)

 = 180 - ( 64 + 90)

 = 26°

Therefore the correct answer is option A. 26°

Answer:

The volume of the shape is 343 cm

Step-by-step explanation:

Because the formula is length x width x height

Answer:

343 cm³

Step-by-step explanation:

V = lwh

V = 7·7·7, since the sides are all 7

V = 49·7 because 7·7 = 49

V = 343 cm³

What question do you need answered?

Answer:

Option A.

Step-by-step explanation:

Anastasia worked for = 7 hours per day

Number of weeks she worked = 52 weeks

Number of hours she worked = 7×52

= 364 hours

Per hour earning of Anastasia = $20

Total earning of Anastasia = 364×20

= $7280

Let the monthly expenses of Anastasia = $x

Then total expenses = $12x

At the end of the year total saving = Total earning - Total expenses

= $7280 - 12x

Since she saved $2000 in a year therefore, expression that represents the savings will be

2000 = 7280 - 12x

12x = 7280 - 2000

12x = 5280

x = [tex]\frac{5280}{12}[/tex]

x = $440

Option A will be the answer.

Answer:

The correct option is 2. The length of JG is 5 units.

Step-by-step explanation:

Given information: ∠EDH ≅ ∠EDG, EH=9, EJ=4.

Corresponding sides of two triangles are congruent.

[tex]EH=EG[/tex]                         (CPCTC)

[tex]9=EG[/tex]              .... (1)

From the given figure it is clear that

[tex]EG=EJ+JG[/tex]

[tex]EG=4+JG[/tex]        ... (2)

Using (1) and (2), we get

[tex]9=4+JG[/tex]

Subtract 4 from both the sides.

[tex]9-4=JG[/tex]

[tex]5=JG[/tex]

The measure of JG is 5 units, therefore the correct option is 2.

Answer:

Step-by-step explanation:

OPTION 2 OR B!!!

Check the picture below.

make sure your calculator is in Degree mode.

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

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

[tex]y=-x^{2}+7[/tex] ----> equation A

This is the equation of a vertical parabola open downward

The vertex is the point (0,7)

[tex]x^{2} +y^{2}=49[/tex]

[tex]x^{2} +y^{2}=7^{2}[/tex] ----> equation B

This is the equation of a circle with center at (0,0) and radius equal to 7 units

The y-intercepts of the circle are the points (0,7) and (0,-7)

therefore

The graph in the attached figure

Answer:

B

Step-by-step explanation:

Answer:

ddddddd

Step-by-step explanation:

Answer:

The correct answer is C on edge 2020

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]1.\\\bold{YES}\\A.\ (x+5)^2=49\iff x+5=\pm\sqrt{49}\\\\x+5=\pm7\qquad\text{subtract 5 from both sides}\\\\x=-13\in\mathbb{Q}\ or\ x=2\in\mathbb{Q}\\\\C.\ x^2=81\iff x=\pm\sqrt{81}\\\\x=\pm9\in\mathbb{Q}\\\\\bold{NOT}\\B.\ x^2=12\to x=\pm\sqrt{12}\notin\mathbb{Q}\\D.\ (x-1)^2=20\to x-1=\pm\sqrt{20}\notin\mathbb{Q}[/tex]

[tex]\bold{YES}\\C.\\x^2+12x+36=0\\\\x^2+2(x)(6)+6^2=0\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+6)^2=0\iff x+6=0\qquad\text{subtract 6 from both sides}\\\\x=-6\\\\\bold{NOT}\\A.\\3x^2+x-2=0\\3x^2+3x-2x-2=0\\3x(x+1)-2(x+1)=0\\(x+1)(3x-2)=0\iff x+1=0\ \vee\ 3x-2=0\\\text{two different solutions}\\B.\\x^2-15x+36=0\\x^2-12x-3x+36=0\\x(x-12)-3(x-12)=0\\(x-12)(x-3)=0\iff x-12=0\ \vee\ x-3=0\\\text{two different solutions}[/tex]

Answer:

Choice B is correct

Step-by-step explanation:

The Interquartile Range (IQR) for Florida, 11, is greater than the IQR for Australia, 4.

The spread of a data set is a measure of the dispersion or variability of the data set. The spread can be measured by various statistical quantities depending on the nature of the data (skewed or symmetric);

The IQR

Variance

Standard Deviation

Range

A box plot is a graphical representation of the five number summary;

The minimum, first quartile, median, third quartile, and the maximum value in that order.

The IQR is defined as;

third quartile - first quartile

With this definition, the Interquartile Range (IQR) for Florida is;

28 - 17 = 11

while the Interquartile Range (IQR) for Australia is;

14 - 10 = 4

Therefore, the Interquartile Range (IQR) for Florida, 11, is greater than the IQR for Australia, 4.

Answer:

-x(x^2+2x+3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

-x is common to all three terms.  Thus, -x^3-2x^2-3x = -x(x^2 + 2x + 3).

Use the quadratic formula to find the roots (and thus the factors) of

x^2 + 2x + 3:  a = 1; b = 2; c = 3.

Thus, the discriminant is b^2-4ac, or 4 - 4(1)(3), or -8.

Because this discriminant is negative, x^2 + 2x + 3 has two complex, unequal roots.  They are:

      -2 ± i√8                  

x = --------------  or  -1 ± i*2*√2

Thus, the three factors of the given polynomial are:

-x, (x + 1 + 2i√2), and (x + 1 - 2i√2)

            2

Please Show a picture or either a text so that I can help you

Answer:

for x = 1 , y = 40(1) -5 ⇒ y = 35

for x = 1 , y = 40(2) -5 ⇒ y = 75

for x = 1 , y = 40(3) -5 ⇒ y = 115

for x = 1 , y = 40(4) -5 ⇒ y = 155

for x = 1 , y = 40(5) -5 ⇒ y = 195

For this case we have the following expression:

[tex]\frac {10p-5} {5 + 3 (p-1)}[/tex]

We must find the value of the expression when c[tex]p = 2[/tex].

Substituting the value of "p" we have:

[tex]\frac {10 (2) -5} {5 + 3 ((2) -1)} =\\\frac {20-5} {5 + 3 (1)} =\\\frac {20-5} {5 + 3} =\\\frac {15} {8}[/tex]

Thus, the value of the expression when [tex]p = 2, is\ \frac {15} {8}[/tex]

ANswer:

[tex]\frac {15} {8}[/tex]

Answer:

Since is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. Then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

Answer:

The answer is -9,9 Its funny cuz I just did this problem on Khan academy

Step-by-step explanation:

Can I get brainliest

-9,9 should be the answer

56 cause u need 12 divide by 0.08 12 times

Answer:

Total charge for wooden pedestal will be $1136

Step-by-step explanation:

Volume of the pedestal will be = volume of cube + volume of the cone

= (Side)³ + [tex]\frac{1}{3}(\pi r^{2}h)[/tex]

= 10³ + [tex]\frac{1}{3}[\pi (\frac{10}{2})^{2}(7)][/tex]

= 1000 + [tex]\frac{1}{3}[\pi 5^{2}(7)][/tex]

= 1000 + [tex]\frac{1}{3}[\pi (25)(7)][/tex]

= 1000 + [tex]\frac{1}{3}[(3.14)(25)(7)][/tex]

= 1000 + 183.17

= 1183.17 cubic inch

Total volume of 12 wooden pedestals = 12 × 1183.17 = 14198 cubic inch

Since charges of the wood is $0.08 per cubic inch

So total charges for pedestal will be = 0.08 × 14198 = $1135.84 ≈ $1136

[tex]-0.7+\frac{2}{8} =[/tex]

[minus, 0, point, 7, plus, 2, divided by, 8, equals]

You can make the denominators the same to combine them, so you can multiply -0.7 by [tex]\frac{8}{8}[/tex]

[tex]-0.7(\frac{8}{8})+\frac{2}{8}[/tex]

[tex]-\frac{5.6}{8}+\frac{2}{8}=-\frac{3.6}{8}= - 0.45[/tex]

Final answer:

The sum of −0.7 and ⅔ is −0.45 when the fraction is simplified to 0.25 and then added to −0.7.

Explanation:

Fractions are used extensively in mathematics, particularly in arithmetic, algebra, geometry, and calculus, as well as in everyday situations such as cooking, measurements, and financial calculations. They provide a convenient way to express quantities that are not whole numbers and to perform operations such as addition, subtraction, multiplication, and division.

The student is asking for the sum of -0.7 and the fraction 2/8. To find the answer, first simplify the fraction 2/8, which can be reduced to 1/4. Now, convert 1/4 into decimal form, which is 0.25. Next, add this decimal to -0.7 to find the sum:

-0.7 + 0.25 = -0.45.

Therefore, the exact decimal for the expression −0.7 + ⅔ is -0.45.

daniel sits closer to mia

Answer:

∠4 and ∠5

Step-by-step explanation:

we know that

If a is parallel to b

then

∠5=∠1 -----> by corresponding angles

∠4=∠1 -----> by alternate interior angles

2.5 x 32.50 = 81.25 a week

Answer:

32.50× 2 = 65

32.50 ÷ 2 = 16.25

65+16.25 = 81.25(this is the answer)

The area of the triangle is 16. 

You can find this by plotting each of the points and drawing the triangle. You can then use the distance formula to determine each side length. The rectangle will be 2 on one side and 4 on the other. When multiplied together, it will give you the above answer

The coordinates of the midpoints for each side are (2.5, 5.5) , (4.5, 2.5), (1.5, 4.5), and (- 0.5, 7.5).

And, yes, the midpoints are the vertices of a rectangle, as its opposite sides are the same in length.

Use the formula for the midpoint of two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are,

[tex][\dfrac{(x_1 + x_2)}{2} , \dfrac{(y_1 + y_2)}{2} ][/tex]

Given that,

Vertices of the rectangle are (0, 8), (5, 3), (4, 2), and (- 1, 7).

Hence, the coordinates of the midpoints for each side are calculated by using the above formula,

The midpoint of two points (0, 8) and (5, 3) are,

[tex](\dfrac{(0 + 5)}{2} , \dfrac{(8 + 3)}{2} )[/tex]

[tex](2.5, 5.5)[/tex]

The midpoint of two points (5, 3) and (4, 2) are,

[tex](\dfrac{(5 + 4)}{2} , \dfrac{(3 + 2)}{2} )[/tex]

[tex](4.5, 2.5)[/tex]

The midpoint of two points (4, 2) and (-1, 7) are,

[tex](\dfrac{(4 - 1)}{2} , \dfrac{(2 + 7)}{2} )[/tex]

[tex](1.5, 4.5)[/tex]

The midpoint of two points (-1, 7) and (0, 8) are,

[tex](\dfrac{(-1 + 0)}{2} , \dfrac{(8 + 7)}{2} )[/tex]

[tex](-0.5, 7.5)[/tex]

Therefore, the coordinates of the midpoints for each side are (2.5, 5.5) , (4.5, 2.5), (1.5, 4.5), and (- 0.5, 7.5).

When the coordinates of vertices are rectangular then opposite sides are equal to each other.

So, we can check the length of each side of the coordinates of the midpoints (2.5, 5.5), (4.5, 2.5), (1.5, 4.5), and (- 0.5, 7.5).

Used the distance formula,

The distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is,

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

So, The distance between the two points [tex](2.5, 5.5)[/tex] and [tex](4.5, 2.5)[/tex],

[tex]d = \sqrt{(4.5- 2.5)^2 + (2.5 - 5.5)^2}[/tex]

[tex]d = \sqrt{4 + 9}[/tex]

[tex]d = \sqrt{13}[/tex]

The distance between the two points [tex](4.5, 2.5)[/tex] and [tex](1.5, 4.5)[/tex],

[tex]d = \sqrt{(4.5- 1.5)^2 + (2.5 - 4.5)^2}[/tex]

[tex]d = \sqrt{9 + 4}[/tex]

[tex]d = \sqrt{13}[/tex]

The distance between the two points [tex](1.5, 4.5)[/tex] and [tex](-0.5, 7.5)[/tex]

[tex]d = \sqrt{(1.5+ 0.5)^2 + (7.5 - 4.5)^2}[/tex]

[tex]d = \sqrt{4 + 9}[/tex]

[tex]d = \sqrt{13}[/tex]

The distance between the two points[tex](-0.5, 7.5)[/tex] and [tex](2.5, 5.5)[/tex]

[tex]d = \sqrt{(2.5+ 0.5)^2 + (7.5 - 5.5)^2}[/tex]

[tex]d = \sqrt{9 + 4}[/tex]

[tex]d = \sqrt{13}[/tex]

Clearly, All the lengths of each side of the coordinates of the midpoints (2.5, 5.5), (4.5, 2.5), (1.5, 4.5), and (- 0.5, 7.5) are the same.

Hence, it forms a rectangle, as its opposite sides are also the same in length.

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ANSWER

The missing term is 42.

EXPLANATION.

We want to find the missing term of the equivalent ratio. 90:15=_____:7

Let y be the missing term, then

90:15=y:7

We rewrite as fractions to get;

[tex] \frac{90}{15} = \frac{y}{7} [/tex]

Simplify the left ratio:

[tex] \frac{6}{1} = \frac{y}{7} [/tex]

Cross multiply:

[tex]6 \times 7 = 1 \times y[/tex]

[tex]42 = y[/tex]

Therefore the missing term is 42.

To determine (f(a+h) - f(a)) for f(x) = x² + 5x, we substitute a+h and a into the function, expand, and subtract to ultimately simplify to 2ah + h² + 5h.

To determine (f(a+h) - f(a)) for f(x) = x² + 5x and simplify, we need to substitute x with a+h and a into the function separately and then find the difference. Here are the steps:

Substitute a+h into f(x) to get f(a+h) = (a+h)² + 5(a+h).

Expand the equation: f(a+h) = a² + 2ah + h² + 5a + 5h.

Substitute a into f(x) to get f(a) = a² + 5a.

Find the difference: (f(a+h) - f(a)) = (a² + 2ah + h² + 5a + 5h) - (a² + 5a).

Simplify the expression: (f(a+h) - f(a)) = 2ah + h² + 5h.

Answer: the answer is m∠ABD = m∠ABC

The answer is, m∠ABD = m∠ABC.

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1400 answer choice B

Answer:

[tex]\frac{\cos\left(2x\right)+\cos\left(4x\right)}{\sin\left(2x\right)-\sin\left(4x\right)}=-\cot\left(x\right)[/tex]

Step-by-step explanation:

[tex]\frac{\cos\left(2x\right)+\cos\left(4x\right)}{\sin\left(2x\right)-\sin\left(4x\right)}[/tex]

Apply formula:

[tex]\cos\left(A\right)+\cos\left(B\right)=2\cdot\cos\left(\frac{A+B}{2}\right)\cdot\cos\left(\frac{A-B}{2}\right)[/tex] and

[tex]\sin\left(A\right)-\sin\left(B\right)=2\cdot\cos\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)[/tex]

We get:

[tex]=\frac{2\cdot\cos\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}{2\cdot\cos\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}[/tex]

[tex]=\frac{\cos\left(\frac{2x-4x}{2}\right)}{\sin\left(\frac{2x-4x}{2}\right)}[/tex]

[tex]=\frac{\cos\left(\frac{-2x}{2}\right)}{\sin\left(-\frac{2x}{2}\right)}[/tex]

[tex]=\frac{\cos\left(-x\right)}{\sin\left(-x\right)}[/tex]

[tex]=\frac{\cos\left(x\right)}{-\sin\left(x\right)}[/tex]

[tex]=-\cot\left(x\right)[/tex]

Hence final answer is

[tex]\frac{\cos\left(2x\right)+\cos\left(4x\right)}{\sin\left(2x\right)-\sin\left(4x\right)}=-\cot\left(x\right)[/tex]

Answer:

4.4 miles is the height

Step-by-step explanation:

Area = base x height

22= 5 x 4.4

Answer:22=5*4.4

Step-by-step explanation:

the base is 5 miles so you do 22 / 5 and it gives you 4.4 for the height

Answer:

None of these

Step-by-step explanation:

the answer can't have anything to do with perpendicular because you don't know if any of the angles are 90 degrees (and honestly none of them look right anyways... pun intended) and the only answer that isn't perpendicular is wrong because the lines are intersececting.