By how many degree -2°C
colder than 7°C​

Equation/Question:

Solve for b. 3(b + -2)-8=-5 what is the answer?​

Answer/Steps to answer:

1.Simplify  b+-2 to b−2.

3(b−2)−8=−5

2. Add 8 to both sides.

3(b-2)=-5+8

3. Simplify  -5+8  to  3.

3(b-2)=3

4. Divide both sides by 3.

b-2=1

5. Add 2 to both sides.

b=1+2

6. Simplify  1+2 to 3.

b=3

Done by NeighborhoodDealer

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in right triangle ABC

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

AB² + AC² = BC² , substitute values

5² + AC² = 13²

25 + AC² = 169 ( subtract 25 from both sides )

AC² = 144 ( take the square root of both sides )

AC = [tex]\sqrt{144}[/tex] = 12

Since the triangles are congruent then corresponding sides are congruent, then

DE = AC = 12 inches → B

Answer:

= 0.2 pound per day

Step-by-step explanation:

This is a fraction equal to

1 pound ÷ 5 days

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 5

1 pound ÷ 5

5 days ÷ 5

=  

0.2 pound

1 day

=  

0.2 pound

day

= 0.2 pound per day

Answer:

every other term is negative, so it would be -64

Step-by-step explanation:

hope it helps!

Answer:

2/3

Step-by-step explanation:

You first multiply 4x1/3 which equals 4/3. Now you do -2/3+4/3=2/3. Hope this helps!

Answer:

2/3

Step-by-step explanation:

[tex]\frac{-2}{3}+4*\frac{1}{3}=\frac{-2}{3}+\frac{4}{3}\\\\=\frac{(-2) + 4}{3}\\\\\\= \frac{2}{3}[/tex]

Answer:

x = [tex]\frac{b-7}{a-2}[/tex]

Step-by-step explanation:

Given

ax + 7 = 2x + b ( subtract 2x from both sides )

ax - 2x + 7 = b ( subtract 7 from both sides )

ax - 2x = b - 7 ← factor out x from each term on the left side

x(a - 2) = b - 7 ← divide both sides by (a - 2)

x = [tex]\frac{b-7}{a-2}[/tex]

Answer:

y=3/2x+5

Step-by-step explanation:

Answer:

- 1

Step-by-step explanation:

[tex]\frac{1}{\cot ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cos \left(x\right)}=\sec \left(x\right),\\\frac{1}{\cot ^2\left(x\right)}-\sec ^2\left(x\right)\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cot \left(x\right)}=\tan \left(x\right),\\\tan ^2\left(x\right)-\sec ^2\left(x\right)\\\\=> \frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\[/tex]

[tex]=> \frac{\sin ^2\left(x\right)-1}{\cos ^2\left(x\right)}\\\\=> -\frac{\cos ^2\left(x\right)}{\cos ^2\left(x\right)}\\=> - 1[/tex]

Hope  that  helps!

By using trigonometric identities,  [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1

"Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain."

Given expression

[tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]

We know the trigonometric identity

[tex]{cot^{2}(x) } =( \frac{sinx}{cosx})^{2}[/tex]

= [tex]\frac{1}{(\frac{cosx}{sinx} )^{2} } -\frac{1}{cos^{2}(x) }[/tex]                    

= [tex]\frac{sin^{2} (x)}{cos^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]

= [tex]\frac{sin^{2}(x)-1}{cos^{2}x }[/tex]

= [tex]\frac{-(1- sin^{2}(x))}{cos^{2}x }[/tex]

We know the trigonometric identity

[tex]sin^{2}(x) +cos^{2}(x) = 1[/tex]

= [tex]\frac{-(cos^{2}x)}{cos^{2}x }[/tex]

= -1

Hence, [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1

Learn more about trigonometric identities here

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Answer:

=177

Step-by-step explanation:

The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.

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

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (10³⁶ + 26/18)

The sum of the digits in the expansion is given as,

⇒ 1 + 0 + 2 + 6 + 1 + 8

⇒ 18

The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.

More about the Algebra link is given below.

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Answer:

Step-by-step explanation:

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Answer:

Total surface area of the prism = 920 cm²

Step-by-step explanation:

Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.

Area of one triangular side = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

Area of 2 similar sides = Base × Height

                                     = 8 × 15

                                     = 120 cm²

Area of rectangular side with dimensions 17cm × 20cm

Area of the side = 17 × 20 = 340 cm²

Area of the second rectangular side with dimensions 8cm × 20cm

Area of the side = 8 × 20 = 160 cm²

Area of third rectangular side with dimensions 20cm × 15cm

Area of the side = 20 × 15 = 300 cm²

Total surface area of the given triangular prism = 120 + 340 + 160 + 300

                                                                               = 920 cm²

Answer:

The answer is C

Step-by-step explanation:

Answer:

C. 10/17

Step-by-step explanation:

10/17 is less than the correct answer 1.7 so it is C.

Answer:

25,300

Step-by-step explanation:

Its already rounded.

Answer:

I dont know

Step-by-step explanation:

Answer:

12 minutes

Step-by-step explanation:

Since he ran 2/3 of a mile in 8 minutes, by dividing both sides by two we can see that he ran 1/3 in 4 minutes. 1/3 x 3 = 1 mile. 4 x 3 = 12 minutes

Answer:

1 mile in 12 minutes

Step-by-step explanation:

2/3 mile in 8 minutes

divide by 2

1/3 mile = 4 minutes

multiply by 3

1 mile in 12 minutes

Answer

9 4 -7 -4

Step-by-step explanation:

Answer:

The operation is commutative

Step-by-step explanation:

Operations

The * operation is defined on the set of real numbers R by

[tex]a * b=a^3+b^3-3ab[/tex]

For the operation to be commutative a*b should be equal to b*a.

Computing b*a:

[tex]b * a=b^3+a^3-3ba[/tex]

Rearranging:

[tex]b * a=a^3+b^3-3ab[/tex]

It's apparent that a*b=b*a, thus the operation is commutative

Answer:

D

Step-by-step explanation:

Sin(x)=25/35=5/7

=> x = 45.6

Answer:

a

Step-by-step explanation:

On the number line, negative numbers are less than zero. positive numbers are larger than zero.

Answer:

See attached.

Step-by-step explanation:

The table is as shown

White paints {cups}   Red paints{cups}

4                                       3

2                                       1

1                                       0

5                                      4

5                                      4

The white paint mixes with the red paint is the ratio of 4 is to 3 in that every 4 cups of white paints is mixed with 3 cups of red paints.

Answer:

1/3, 2/6, 3/9, 4/12..are equivalent fractions. Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get.

Step-by-step explanation:

The equivalent fractions of  the given fraction [tex]\dfrac{2}{6}[/tex] are [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex] .

The fractions which have the same value but can  have different numerators or denominators when either multiplying , dividing or converting it into the lowest form is called equivalent fractions

The upper part of a fraction or part of a whole is called numerator and the lower part of a fraction or the whole is called denominator.

Equivalent fraction can be obtained by multiplying  numerator and denominator with the same number .

Example : equivalent fraction of  [tex]\dfrac{5}{8}[/tex] is

[tex]\dfrac{5}{8} = \dfrac{5 \times 1 }{8 \times 1} =\dfrac{5\times2}{8\times2} ........=\dfrac{5}{8}[/tex]

According to the data provided in the problem

[tex]\dfrac{2}{6} = \dfrac{2 \times 1 }{6 \times 1} =\dfrac{2\times2}{6\times2} ........=\dfrac{2}{6}[/tex]

Thus the equivalent fractions of [tex]\dfrac{2}{6}[/tex] are  [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex]

Learn more about equivalent fractions here:

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Answer:

Hi! Your answer is m = 19

Step-by-step explanation:

~use the slope formula to find the average rate of change~

Answer: first term = 6

Common difference = 2

Step-by-step explanation:

Eight term =a +(n-1)d = a +(8-1)d = a + 7d

Third term = a+(n-1)d = a + (3-1)d =a + 2d

a + 7d = 2(a + 2d)

a + 7d = 2a + 4d

7d - 4d = 2a - a

a = 3d

The fifth term is equal to 14. This is:

a + 4d = 14

Put the value of a into the equation here

3d + 4d = 14

7d = 14

d = 14/7

d = 2

Recall that a + 4d = 14

a + 4(2) = 14

a + 8 = 14

a = 14 - 8

a = 6

Answer:

40/140 ≈ 0,2857 corresponds 28,57%.

Given:

The two points on a coordinate plane are C(-5,-1) and D(0,3).

To find:

The distance between C and D.

Solution:

Distance formula:

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

Using the distance formula, the distance between C(-5,-1) and D(0,3) is

[tex]CD=\sqrt{(0-(-5))^2+(3-(-1))^2}[/tex]

[tex]CD=\sqrt{(0+5)^2+(3+1)^2}[/tex]

[tex]CD=\sqrt{(5)^2+(4)^2}[/tex]

[tex]CD=\sqrt{25+16}[/tex]

On further simplification, we get

[tex]CD=\sqrt{41}[/tex]

[tex]CD=6.40312424[/tex]

[tex]CD\approx 6.40[/tex]

Therefore, the distance between C and D is 6.40 units.

Answer:

100000 olacak iyi dersler