Find the A.P whose second term is 12 and 7th term exceeds the 4th by 15

Answer: A

Step-by-step explanation: The question states that the change wasn't a positive one, it was a negative one as it states that the temperature changed an average of -2.250 Fahrenheit per hour. So, we multiply that by 3 to get -6.75. This is why A is correct.

Answer:

4) 7a+20

5) 14+2b

6) 25c² - 15

Step-by-step explanation:

4) 9a+7-2a+13= 9a-2a+7+13 = 7a+20

5) 21-3b+5b-7= 21-7+5b-3b = 14+2b

6) (3c)² + (8c)² - 15 = 9c² + 16c² - 15 = 25c² - 15

Answer:

2.72 / 16 x 28 = $4.76

Step-by-step explanation:

Since they give you $2.72 for 16 ounces you put in:

2.72 / 16 x 28 = $___

Then you just solve it to get $4.76:

2.72 / 16 = 0.17

0.17 x 28 = 4.76

[tex]\boldsymbol{\sf{3(x-4) > 5x +2 }}[/tex]

Use the distributive property to multiply 3 by x−4.

[tex]\boldsymbol{\sf{3x-12 > 5x+2 }}[/tex]

Subtract 5x on both sides.

[tex]\boldsymbol{\sf{3x-12-5x > 2 } }[/tex]

Combine 3x and −5x to get −2x.

[tex]\boldsymbol{\sf{-2x-12 > 2 }}[/tex]

Add 12 to both sides.

[tex]\boldsymbol{\sf{-2x > 2+12 \ \longmapsto \ \ [Add \ 2 +12]}}[/tex]

[tex]\boldsymbol{\sf{-2x > 14}}[/tex]

Divide both sides by −2. Since −2 is < 0, the inequality direction is changed.

[tex]\boldsymbol{\sf{x < \dfrac{14}{-2} \ \ \longmapsto \ \ \ [Split]}}[/tex]

[tex]\boxed{\boldsymbol{\sf{x < -7 }}}[/tex]

So in the inequality 3(x-4)>5x +2, the value of x is -7.

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Answer:

The answer would be (7, 18)

Step-by-step explanation:

The answers simple,

in the equation y=|-3x+3|

x and y would be said like this (x,y). just like the answer choices

now in the first option, x is R, so i couldn't understand that. so I'm gonna skip that.

in the second one, (7,0) would no work as

0=|-3(7) + 3|

0=|-21+3|

0=|-18|

and since "|" is absolute value, meaning that instead of the number being negative or positive the number will just be translated into how much distance is from the number and 0, or just make the number positive.

lets continue,

0=18, so (7,0)

the second one, (7,-18)

-18=|-3(7)+3|

-18=|-18|

again, its absolute value so

-18=18, so it still doesn't work

the last one, (7,18)

18=|-3(7)+3|

18=|18|

18=18

so (7,18) would work.

Answer:309

Step-by-step explanation:

Answer:

129 1/3 is the answer

m1 x m2 = - 1

Rearrange 4x + 2y = 8.

4x + 2y = 8

-4x, then ÷ 2

y = - 4x + 8 / 2

y = - 2x + 4

m1 = - 2, find reciprocal of - 2, by placing 1 over the 2

So, - 2 will become - 1/2, but multiplying this gives us a positive 1. Thus, m2 = 1/2

m1 x m2 = - 1

-2 x 1/2 = - 1

That means slope perpendicular to the line

4x + 2y = 8 is y = 1/2x, where a half is the gradient/slope.

Ans: 1/2

Hope this helps!

Answer:

Step-by-step explanation:

400*60% can be rewriten as 400×0.6 which is 240, so a is false.

the same steps can be repeated for b and c

b) 200*0.6=120, therefore is false

c) 120*0.6=72, therefore is false

2)

[tex]60 percent * x=87\\0.6x=87\\x=\frac{87}{0.6} \\\\x=145[/tex]

Now we check the answer by using the same steps in problems a,b,c

[tex]145*0.6=87\\87=87[/tex]

3)

[tex]0.6c=43.2\\c=\frac{43.2}{0.6} \\c=72[/tex]

and finally

[tex]0.38e=190\\e=\frac{190}{0.38} \\e=500[/tex]

The feet of cloth that she should buy for the capes is 4 feet.

The mathematical operations that would be used to determine the answer are addition and multiplication.

Addition is the process of summing two or more numbers together. Multiplication is the process of determining the product of two or more numbers.

The first step is to convert yard to feet

According to the unit of conversion : 1 yard = 3 feet

1 x 3 = 3 feet

The second step is to add the feet needed for Akira's cape with the foot needed for the puppy's cape

Total feet needed = 3 + 1 = 4 feet

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Answer: 57

I'm pretty sure that's what it is

Step-by-step explanation:

The percentage reduction of the price of the video game from 60 to 45 was 25%.

The percentage reduction refers to the fractional reduction in the price of the video game.

This implies that a percentage is a fraction of a value.  Percentages are calculated over 100.

A percentage is, therefore, a number or ratio expressed as a fraction of 100, often denoted using the "%" sign.

The old price of the video game = 60

The new price of the video game = 45

Reduction in price = 15 (60 - 45)

Percentage reduction = 25% (15/60 x 100)

Thus, the percentage reduction of the price of the video game from 60 to 45 was 25%.

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[tex](\frac{3}{2},\frac{5}{2})[/tex]

The first equation can be rearranged by subtracting y from both sides. This gives you x = 4 - y.

The second equation is x = y - 1

Therefore, as both equations are equal to x, you can say that they are equal to each other, so 4 - y = y - 1.

If you add 1 to each side, you get 5 - y = y

If you add y to each side, you get 5 = 2y

Divide both sides by 2 to get y = 5/2

Now you can substitute 5/2 for y. For example, the second equation becomes x = 5/2 - 1

x is therefore 3/2

This can  be written as [tex](\frac{3}{2},\frac{5}{2})[/tex], which is the final answer.

Answer:

  1/2

Step-by-step explanation:

The "Pythagorean relation" between trig functions can be used to find the sine.

The relation between sine and cosine is the identity ...

  sin(x)² +cos(x)² = 1

This can be solved for sin(x) in terms of cos(x):

  sin(x) = √(1 -cos(x)²)

For the present case, using the given cosine value, we find ...

  sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)

  sin(x) = 1/2

__

Additional comment

The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...

  sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)

A calculator can always be used to verify the result.

1  1 / 6  litres of water is needed to watering the entire garden at the given rate.

We need to find how many litres of water is needed to watering the entire garden at this rate.

Let the total garden be x  parts then,

Therefore,

2 / 7 x  = 1 / 3

cross multiply

2x × 3 = 7

6x = 7

divide both sides by 6

6x / 6 = 7 / 6

x = 1 1 / 6

Therefore, Thus,  1 1 / 6  litres of water is needed to watering the entire garden at the given rate.

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Using the fundamental theorem of calculas the derivative of function g(x)=[tex]xt^{3}+t^{5}[/tex] at x=0 is [tex]t^{3}[/tex].

Given a function g(x)=[tex]xt^{3}+t^{5}[/tex].

We are required to find the derivative of the function g(x) at x=0.

Function is relationship between two or more variables expressed in equal to form. The values entered in a function are part of domain and the values which we get from the function after entering of values are part of codomain of function. Differentiation is the sensitivity to change of the function value with respect to a change in its variables.

g(x)=[tex]xt^{3}+t^{5}[/tex]

Differentiating with respect to x.

d g(x)/dx=[tex]t^{3}[/tex]+0  [Differentiation of x is 1 and differentiation of constant is 0]

=[tex]t^{3}[/tex]

Hence using the fundamental theorem of calculas the derivative of function g(x)= [tex]xt^{3}+t^{5}[/tex] at x=0 is [tex]t^{3}[/tex].

The function given in the question is incomplete. The right function will be g(x)=[tex]xt^{3}+t^{5}[/tex].

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.

Answer:

15

Step-by-step explanation:

from the first then it is 0+7=7

and from the last it is 0+8=8

then the number of cars available in the station is 8+7=15

The radius of the orange circle is 1.5 unit and  the radius of the blue circle is 2.25 units

The figure that completes the question is added as an attachment

The orange circle

The radius of the green circle is given as:

r = 1

One and half green circle make up the radius of the orange circle.

So, the radius of the orange circle is

R = 1.5 * r

This gives

R = 1.5 * 1

R = 1.5

Hence, the radius of the orange circle is 1.5 unit

The blue circle

The radius of the orange circle is given as:

r = 1.5

One and half orange circle make up the radius of the blue circle.

So, the radius of the blue circle is

R = 1.5 * r

This gives

R = 1.5 * 1.5

R = 2.25

Hence, the radius of the blue circle is 2.25 units

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Answer:

10 is the right answer...

Step-by-step explanation:

thanks

mark me as brainlist....

The answer is 2c.

Applying the Law of Exponents,

Question 1

[tex]x^3 + x^2 - 4x-4=0\\\\x^2 (x+1)-4(x+1)=0\\\\(x^2 -4)(x+1)=0\\\\(x-2)(x+2)(x+1)=0\\\\x=-2, -1, 2[/tex]

Question 2

By inspection, we know that [tex]x=2[/tex] is a root.

[tex]\frac{2x^3 - 11x^2 + 17x-6}{x-2}=2x^2 - 7x+3[/tex].

So, we can factor the equation as

[tex](x-2)(2x^2 - 7x+3)=0\\\\(x-2)(x-3)(2x-1)=0\\\\x=\frac{1}{2}, 2, 3[/tex]

The unit rate of the proportional relationship y = 3x is 3

The proportional relationship is given as:

y = 3x

Divide both sides by x

y/x = 3

For a proportional relationship y/x = k;

The unit rate is 3

This means that the unit rate of the proportional relationship y = 3x is 3

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Answer: Answer is B, Mark me brainliest please

Step-by-step explanation:

Answer:

3. 125

4. 115

5. m<1 = 70, m<2 = 55, m<3 = 55

6. m<2 = 50, m<3 = 50, m<4 = 80, m<6 = 130

Answer: (-1, 1)

Step-by-step explanation:

Since the graph is already given, we could directly refer to the intersecting point of the system of equations.

According to the graph, [ y = 2x + 3 ] and [ y = -x ] intersect at (-1, 1).

Therefore the solution is [tex]\Large\boxed{(-1,1)}[/tex]

Given equation

1) y = 2x + 3

2) y = -x

Substitute the y value in the 1) equation by the 2)

(-x) = 2x + 3

Add x on both sides

-x + x = 2x + 3 + x

0 = 3x + 3

Subtract 3 on both sides

0 - 3 = 3x + 3 - 3

-3 = 3x

Divide 3 on both sides

-3 / 3 = 3x / 3

x = -1

Substitute the x value into one of the equations to find the y value

y = -x

y = - (-1)

y = 1

Therefore, the solution is [tex]\Large\boxed{(-1,1)}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex]a = 1, \ - 3[/tex]

Explanation:

[tex](a-6)(a+8) = -45[/tex]

distribute

[tex]a^2 + 8a - 6a - 48 = -45[/tex]

collect terms

[tex]a^2 + 8a - 6a - 48 + 45=0[/tex]

simplify

[tex]a^2 + 2a - 3=0[/tex]

factor

[tex](a - 1)(a + 3)= 0[/tex]

set to zero

[tex]a = 1, \ - 3[/tex]

Answer:

a = 1,  -3

Step-by-step explanation:

Given equation:

[tex](a-6)(a+8)=-45[/tex]

Expand the brackets:

[tex]\implies a^2+8a-6a-48=-45[/tex]

[tex]\implies a^2+2a-48=-45[/tex]

Add 45 to both sides:

[tex]\implies a^2+2a-48+45=-45+45[/tex]

[tex]\implies a^2+2a-3=0[/tex]

To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].  

Two numbers that multiply to -3 and sum to 2 are: 3 and -1.  

Rewrite the middle term as the sum of these two numbers:

[tex]\implies a^2+3a-a-3=0[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies a(a+3)-1(a+3)=0[/tex]

Factor out the common term (a + 3):

[tex]\implies (a-1)(a+3)=0[/tex]

Apply the zero product property:

[tex]\implies (a-1)=0 \implies a=1[/tex]

[tex]\implies (a+3)=0 \implies a=-3[/tex]

Verify the solutions by inputting the found values of a into the original equation:

[tex]a=1 \implies (1-6)(1+8) & =-5 \cdot 9 = -45[/tex]

[tex]a=-3 \implies (-3-6)(-3+8) & =-9 \cdot 5 = -45[/tex]

Hence both found values of a are solutions of the given equation.

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By definition of perimeter, direct observation and Pythagorean theorem, the perimeter of kite OBDE is 38 units. (Correct choice: C)

In geometry, the perimeter is the sum of the lengths of the sides of a figure.  Herein we must determine the perimeter of a quadrilateral, the kite OBDE, that is, the sum of the lengths of its four sides:, which can be found both by direct observation or by the use of the Pythagorean theorem.

Please notice that the quadrilateral has an axis of symmetry passing through the points O and D, which implies that OB = OE and BD = DE. The length of sides BD and DE is 6 units and the length of the sides OB and DE are:

OB = DE = 0.5 · √(24² + 10²)

OB = DE = 13

Lastly, the perimeter of kite OBDE is p = 2 · 6 + 2 · 13 = 38 units.  

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Answer:  C. 38 units

Step-by-step explanation:  TRUST ME!!! Answer is correct on Edge!!!  :)

Just did it and got it correct!

Answer:

91.5[tex]cm^{2}[/tex]

Step-by-step explanation:

The area of the rectangle:

a = lw

a =(21)(3) = 63

The area of the square:

a = lw

a = (5)(5) = 25

The area of a half circle:

a=[tex]\frac{\pi r^{2} }{2}[/tex]

a= [tex]\frac{3.14(1.5^{2}) }{2}[/tex]

a = [tex]\frac{3.14(2.25)}{2}[/tex]

a = [tex]\frac{7.065}{2}[/tex]

a = 3.5 rounded to the nearest tenth

63 + 25 + 3.5 =91.5

Answer:

3

Step-by-step explanation:

The interquartile range is where the 2nd and 5th dots are, on the opposite ends of the square, from 15-18.

Answer:

3

Step-by-step explanation:

The interquartile range (IQR) is the difference between the upper quartile (Q₃) and the lower quartile (Q₁).

In a box plot:

From inspection of the given box plot:

Therefore:

IQR = Q₃ - Q₁

      = 18 - 15

      = 3

So the interquartile range of the given box plot is 3.