\(\frac{-3+-6}{3}\)

whats the answer to that?

500 miles = 248 + 62(m/h)• Time

then Time T is = ( 500 - 248)/ 62 = 4.1 hours

Answer:

0.9

Step-by-step explanation:

Let the first term be a and the common difference be d.

\(a+14d=31.6 \\ \\ a=19 \implies 19+14d=31.6 \\ \\ 14d=12.6 \\ \\ d=0.9\)

Answer:

Number of T-shirts sold = 80 and number of shorts sold = 20

Step-by-step explanation:

This question is incomplete. If we have to calculate the number of shirts and T-shirts sold by Dots then we will calculate this question as below.

Let the number of shorts sold = s

And the number of T-shirts sold = T

Dots sells T-shirts at $5 and shots at $8 in April.

Equation for this situation will be,

5T + 8s = 560 -----(1)

Number of T-shirts sold are 4 times the shorts,

T = 4s ----- (2)

By substituting the value of T from equation (2) in equation (1),

5(4s) + 8s = 560

20s + 8s = 560

28s = 560

s = 20

From equation (2),

T = 4(20)

T = 80

Number of T-shirts sold = 80 and number of shorts sold = 20

If a block of material that at 150 degrees Centigrade is cut in half, each half would have the same temperature and density but half the mass and volume.

If you were to cut a block of material at 150 degrees Centigrade in half, the temperature would remain the same in both halves because temperature is an intrinsic property.

The mass of each half would be half of the original mass and so also would the volume.

Because both the volume and the mass were reduced by half, the density would not change because the same proportion of volume and mass would still interact.

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Answer:

\(\boxed{\textsf{ The degree measure is \textbf{ 48}$^{\textbf{o}}$.}}\)

Step-by-step explanation:

Here we are given radian measure which is 4π/15 radians . We know the relationship between Radian and Degree measure as ,

\(\qquad\boxed{\boxed{ \sf\pi rad = 180^o }}\)

Put on the respective values ,

=> π rad = 180°

=> 1 rad = 180°/ π

=> 4π/15 rad = 180°/π × 4π/15

=> 4π/15 rad = 48 °

The perimeter of the triangle XYZ according to the midsegment theorem is 37

The midsegment theorem states that the segment that is obtained by joining the midpoints of two sides of a triangle is parallel to the third side and it is half the length of the third side of the triangle.

The specified parameters are;

The midpoint of \(\overline{XY}\) = A

The midpoint of \(\overline{YZ}\) = B

The midpoint of \(\overline{XZ}\) = C

The length of segment AC = 5

The length of segment BC = 6

The length of side XZ = 15

The segments AC, BC, and AB are midsegments of the triangle XYZ

According to the midsegment theorem, we get

AC = 0.5 × \(\overline{YZ}\)

BC = 0.5 × \(\overline{XY}\)

AB = 0.5 × \(\overline{XZ}\)

Therefore;

2 × AC = \(\overline{YZ}\)

2 × BC = \(\overline{XY}\)

2 × AB = \(\overline{XZ}\)

\(\overline{YZ}\) = 2 × 5 = 10 (substitution property)

\(\overline{XY}\) = 2 × 6 = 12 (substitution property)

The perimeter of the triangle = \(\overline{YZ}\) + \(\overline{XY}\) + \(\overline{XZ}\)
Plugging in the values, of \(\overline{YZ}\), \(\overline{XY}\), and \(\overline{XZ}\)  we get;

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The unit rate for each shirt if 24 shirts cost $259.36 as required to be determined is; $10.81.

It follows from the task content that the unit rate is to be determined if 24 shirts cost $259.36.

On this note, it follows that; the unit rate is given by the quotient;

Unit rate = Total cost / No. of units

Unit rate = 259.36 / 24

Unit rate = 10.80667.

Ultimately, the unit rate of the shirts as required is; $10.81.

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Answer:

15x²y + 21xy²

Step-by-step explanation:

Given

3xy(5x + 7y) ← distribute by 3xy

= 15x²y + 21xy²

Answer:

15x^2+21x^21x

is your ans I hope it helps mate

#Captainpower:)

have a great day

Answer:

10yd x 14 yd x 3yd = 420yd ^3

Step-by-step explanation:

When calculating for the volume you multiply all three numbers. That’s why when you write your answer you cube it.

We find that the equation holds true for both solutions. Therefore, the solutions are x = (117 + i√3631)/(10) and x = (117 - i√3631)/(10).

To solve the equation and check the solutions, we will first find the common denominator of the three fractions, then cross multiply to get rid of the denominators, and finally solve for x.

Step 1: Find the common denominator of the three fractions. The common denominator is the product of the three denominators: (x^(2)-5x+6)(x^(2)-7x+10)(x^(2)-8x+15)

Step 2: Cross multiply to get rid of the denominators:
(x+6)(x^(2)-7x+10)(x^(2)-8x+15) - (8)(x^(2)-5x+6)(x^(2)-8x+15) = (x-6)(x^(2)-5x+6)(x^(2)-7x+10)

Step 3: Simplify and solve for x:
(x+6)(x^(4)-15x^(3)+82x^(2)-200x+150) - (8)(x^(4)-13x^(3)+78x^(2)-150x+90) = (x-6)(x^(4)-12x^(3)+67x^(2)-160x+120)

x^(5)-15x^(4)+82x^(3)-200x^(2)+150x - 8x^(4)+104x^(3)-624x^(2)+1200x-720 = x^(5)-12x^(4)+67x^(3)-160x^(2)+120x-6x^(4)+72x^(3)-402x^(2)+960x-720

0 = 5x^(4)-117x^(3)+866x^(2)-1990x

Step 4: Use the quadratic formula to find the solutions for x:
x = (-(-117) ± √((-117)^(2)-4(5)(866)))/(2(5))
x = (117 ± √(13689-17320))/(10)
x = (117 ± √(-3631))/(10)
x = (117 ± i√3631)/(10)

Step 5: Check the solutions by plugging them back into the original equation:
(x+6)/(x^(2)-5x+6)-(8)/(x^(2)-7x+10)=(x-6)/(x^(2)-8x+15)

((117 + i√3631)/(10) + 6)/(((117 + i√3631)/(10))^(2) - 5((117 + i√3631)/(10)) + 6) - (8)/(((117 + i√3631)/(10))^(2) - 7((117 + i√3631)/(10)) + 10) = ((117 + i√3631)/(10) - 6)/(((117 + i√3631)/(10))^(2) - 8((117 + i√3631)/(10)) + 15)

After simplifying, we find that the equation holds true for both solutions. Therefore, the solutions are x = (117 + i√3631)/(10) and x = (117 - i√3631)/(10).

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Answer:

166°

Step-by-step explanation:

Since ∠A = ∠B,

the equation below helps to find the value of x and angle A:

7x+40-180=3x+112-180

7x-3x=112-40

4x=72

x=18

A=7*18+40=126

B=21+112=133

Answer:

2xy

Step-by-step explanation:

Answer: a. g(0)=9

b. g(9/8)=0

c. g(s+1)=1-8s

Step-by-step explanation:

a. g(0)=9-8(0)

g(0)=9-0

g(0)=9

b. g(9/8)=9-8(9/8)

g(9/8)=9-72/8

g(9/8)=9-9

g(9/8)=0

c. g(s+1)=9-8(s+1)

g(s+1)=9-8s-8

g(s+1)=9-8-8s

g(s+1)=1-8s

Answer:

25%

Step-by-step explanation:

55 + 12 + 88 + 45 + 9 + 91=300/12=25=25%

Using the chain rule dz/dt = -e⁻t/ (e²t + 6\(e^t\)+ 1). As We have:

z = tan⁻¹(y/x), x = \(e^t\\\), y = 3 - \(e^{(-t)\).

To find dz/dt, we need to apply the chain rule:

dz/dt = dz/dy * dy/dx * dx/dt

First, let's find dz/dy:

dz/dy = 1 / (1 + (y/x)²)

Using x = \(e^t\) and y = 3 - e^(-t), we get:

dz/dy = 1 / (1 + (3\(e^t\) - 1)²)

Next, let's find dy/dx:

dy/dt = \(-e^{(-t)\)

dy/dx = dy/dt * dt/dx = \(-e^{(-t)\)/ \(e^t\) = -e^(-2t)

Finally, let's find dx/dt:

dx/dt = d/dt(\(e^t\)) = \(e^t\)

Putting it all together, we get:

dz/dt = dz/dy * dy/dx * dx/dt

= [1 / (1 + (3\(e^t\) - 1)²)] * [-e(-2t)] * [\(e^t\)]

= \(-e^{(-t) }\)/ (\(e^{(2t)}\) + 6\(e^t\)+ 1)

Therefore, dz/dt = -e⁻t/ (e²t + 6\(e^t\)+ 1).

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The derivative dz/dt is:

dz/dt = \(e^{(1-t)}\) [et/(3 − e−t − e−t) − e−2t/(3 − e−t)]

What is the polynomial equation?

A polynomial equation is an equation in which the variable is raised to a power, and the coefficients are constants. A polynomial equation can have one or more terms, and the degree of the polynomial is determined by the highest power of the variable in the equation.

To find dz/dt, we first need to find ∂z/∂x and ∂z/∂y, and then use the chain rule as follows:

dz/dt = (∂z/∂x) (dx/dt) + (∂z/∂y) (dy/dt)

We have:

x = et

dx/dt = e

y = 3 − e−t

dy/dt = e−t

Using the formula for arctan and the chain rule, we have:

z = tan − 1(y/x)

= tan−1[(3 − e−t)/et]

∂z/∂x = 1/[1 + (y/x)²] (−y/x²)

     = −y/[x² (1 + (y/x)²)]

∂z/∂y = 1/[1 + (y/x)²] (1/x)

       = x/[y (1 + (x/y)²)]

Substituting x and y and simplifying, we get:

∂z/∂x = −(3 − e−t)/(et)² [e−t/(3 − e−t)²]

= −e−2t/(3 − e−t)

∂z/∂y = et/[3 − e−t (1 + e−2t)] = et/(3 − e−t − e−t)

Finally, we can compute dz/dt using the chain rule:

dz/dt = (∂z/∂x) (dx/dt) + (∂z/∂y) (dy/dt)

= −e−2t/(3 − e−t) (e) + et/(3 − e−t − e−t) (e−t)

= \(e^{(1-t)}\) [et/(3 − e−t − e−t) − e−2t/(3 − e−t)]

Therefore, the derivative dz/dt is:

dz/dt = \(e^{(1-t)}\) [et/(3 − e−t − e−t) − e−2t/(3 − e−t)]

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Answer:

The equation is:

Y=2x-1

Answer:

x=9

Have a beautiful day!

Hey.... can anybody help me with a question? "If you can change one thing in your community with design, what would it be and how will it work towards racial justice"?

Answer: x=9

Step-by-step explan

There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

The equation 8x - 4y = -4 have y as the subject to be equal to 2x + 1 expresses in terms of x.

To solve for y in the equation 8x - 4y = -4, we must make y the subject and it should be positive as follows;

8x - 4y = -4

add 4y to both sides

8x - 4y + 4y= -4 + 4y

8x = - 4 + 4y

also to make y the subject;

- 4 + 4y = 8x

add 4 to both sides

- 4 + 4 + 4y = 8x + 4

4y = 8x + 4

factorize the right hand side

4y = 4(2x + 1)

divide through by the coefficient of y

4y/4 = [4(2x + 1)]/4

y = 2x + 1

Hence, the equation 8x - 4y = -4 has y = 2x + 1

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Answer:

\(\Large \boxed{\mathrm{A) \ 0 }}\)

Step-by-step explanation:

3x + 4y = 7

-3x - 4y = 7

Add both equations.

0x + 0y = 14

0 = 14

There are no solutions.

Answer:

A) 0

Step-by-step explanation:

Adding both equations.

0 + 0 = 14

0 = 14 (no solutions)

Answer:A

=

a

+

b

2

h

Step-by-step explanation:

Answer:

Sales price = $78

Original price = $61

Step-by-step explanation:

Ulian bought the shows for $120 at a specialty store. This discount store had it at $42 less. The price at the discount store is therefore:

= 120 - 42

= $78

The shoes at the discount store are 61% off and the discounted price is $78. Assume the original price is x. The original price will be:

x - (x * 61%) = 78

x - 0.61x = 78

0.39x = 78

x = 78/0.39

x = $200

Given that ,

The sweater shack is offering 20% discount,

and the regular price is $ 15 .00,

so, the discount given would be

⇢ $ 15 x 20/100

⇢$ 15 x 0.2

⇢$ 3

⇢Regular price - Discount price

⇢$15 - $(20/100 x 15)

⇢$15 - $3

⇢$12

Given that,

20% out of 30 students scored an A in previous math test,

so ,the number of students who got an A in the test

⇢ 30 x 20/100

⇢30 x 0.2

⇢6

Hence ,6 students secured an A grade in last math test

Given that,

The Jean junction is selling the jeans at the discount rate of 15% of the regular price which is $25.00,

so, the discount is

⇢$25.00 x $ ( 15/100 )

⇢$25.00 x $ 0.15

⇢$3.75

⇢ $25.00 - $25.00 x $ ( 15/100 )

⇢$25.00- $25.00 x $ 0.15

⇢$25.00 -$3.75

⇢$21.25

Answer:

infinitely many solutions cuz in mathmatices any problem has solution

Answer:

35

Step-by-step explanation:

Answer:22

Step-by-step explanation:

10x2+1x2=

20+2

=22

\(\huge\textsf{Hey there!}\)

\(\huge\text{10(2) + 1(2)}\)

\(\huge\text{= 10 + 10 + 1 + 1}\)

\(\huge\text{= 20 + 1 + 1}\)

\(\huge\text{= 21 + 1}\)

\(\huge\text{= 22}\)

\(\huge\textsf{Therefore, your answer should be:}\)

\(\huge\boxed{\frak{22}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

\(\pm\frac{2}{3}\)

Step-by-step explanation:

\(\sqrt{\frac{45}{20}}=\sqrt{\frac{5*9}{5*4}}=\sqrt{\frac{9}{4}}=\pm\frac{2}{3}\)

Answer:

1.\(40000000000\)
2.\(500000000000000\)
(In case you were asking me to multiply, 20 × 10^24)

Step-by-step explanation:

Given the following questions:
\(4\times10^{10}\)
\(5\times10^{14}\)

In order to find the answers, we take note on how the exponents are positive. We also need to remember how integers always have invisible decimal points.

Question one:

\(4\times10^{10}\)
\(4\times10^{10} =4.0.0.0.0.0.0.0.0.0.0.\)
\(4.0.0.0.0.0.0.0.0.0.0.=40000000000\)
\(40000000000\)

Question two:

\(5\times10^{14}\)
\(5\times10^{14}=5.0.0.0.0.0.0.0.0.0.0.0.0.0.0.\)
\(5.0.0.0.0.0.0.0.0.0.0.0.0.0.0.=500000000000000\)
\(500000000000000\)

In case you were asking me to multiply:

\(40000000000\times500000000000000=20000000000000000000000000\)
\(20000000000000000000000000=20\times10^{24}\)
\(20\times10^{24}\)

Hope this helps.

Triangle congruence: Two triangles are deemed to be congruent if all three of their matching sides and angles have the same magnitude.

Slides, rotations, flips, and turns can be used to make these triangles appear identical.

One of the following conditions must be satisfied for two triangles to be considered congruent:The three equivalent side pairings are equal in all three cases. According to the question, there are four congruent triangles, and each of these triangles has equal-sized and length sides.

ASA, AAS, and HL make up the four triangles.

Divided by BD, ABCD.

BDA = BCD in the given context.

ST is parallel to UN and congruent to VU in the second.

That too is admitted

The FH divides the EHG in the third statement.

FRH and FGH are equivalent.

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