Can someone help me out with this

Can Someone Help Me Out With This

Answers

Answer 1

Answer:

Step-by-step explanation:

a) 7² + a⁰ = 7*7 + 1 = 49 + 1 = 50

Anything raised to 0 is 1  {Eg: 15⁰ = 1 ,(-k)⁰ = 1}

b) 4³ - 3¹ = 4*4*4 - 3 = 64 - 3 = 61

c) 12x⁶ * 7x⁸ = (12*7)*x⁶⁺⁸ = 84x¹⁴

In exponent multiplication, If x is a rational number and a & b are two integers, then xᵃ * xᵇ = xᵃ⁺ᵇ

d) 49a¹³ ÷ 7a⁸ = (49 ÷ 7) * a¹³⁻⁸ = 7a⁵

In exponent division, If x is a rational number and a & b are two integers, then xᵃ ÷ xᵇ = xᵃ⁻ᵇ

e) (2y³)⁵ = 2⁵*(y³)⁵ = 32y³ˣ⁵ = 32y¹⁵


Related Questions

find the volume of the following solid figures. show your solution​

Answers

Answer:

37.68m^3

2143.57 m^3

Step-by-step explanation:

Volume of a cone 1/3(nr^2h)

n = 3.14

(1/3) x (3^2) x 4 x 3.14 = 37.68

Volume of a sphere = 4/3 x pi x r^3

4/3 x 8^3 x 3.14 =

Question 17 of 25
Imagine that you are given two linear equations in slope-intercept form. You
notice that both the slopes and the y-intercepts are the same. How many
solutions would you expect for this system of equations?
A. infinitely many
B. cannot be determined
C. O
D. 1

Answers

Answer:

A. infinitely many

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Solving systems of equations

Step-by-step explanation:

If 2 lines are parallel (same slope, different y-intercept), they would have no solution.

If 2 lines were the same (same slope, same y-intercept), they would have infinite amount of solutions.

Fill in the blanks using < or >. (a) -3 ...... -4 (b) 6 ....... -20 (c) -8 ...... -2 (d) 5 ...... -7

Answers

Fill in the blanks using < or >.

[tex]\sf \bf {\boxed {\mathbb {ANSWER:}}}[/tex]

(a) -3 [tex]\boxed{ > }[/tex] -4

(b) 6 [tex]\boxed{ >}[/tex] -20

(c) -8 [tex]\boxed{ < }[/tex] -2

(d) 5 [tex]\boxed{ > }[/tex] -7

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}[/tex]

Identify the 3 terms by name: 5x2 - 7x + 2

Answers

Answer:

5x2-7x-1

Step-by-step explanation:

STEP1:Equation at the end of step 1

((5x2 - 7x) - 3) + 2

STEP2:Trying to factor by splitting the middle term

 2.1     Factoring  5x2-7x-1 

The first term is,  5x2  its coefficient is  5 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  -1 

Step-1 : Multiply the coefficient of the first term by the constant   5 • -1 = -5 

Step-2 : Find two factors of  -5  whose sum equals the coefficient of the middle term, which is   -7 .

     -5   +   1   =   -4     -1   +   5   =   4

Can someone pls help me!

Answers

Answer: y =2x-5

Work:

2x-y=5

-y=-2x+5

-1y/-1 = -2x+5/-1

y =2x-5

The length of a rectangle is 5 less than
the width. Which polynomial describes
the area of the rectangle?

Answers

Answer:

Let length = x

Let width = x + 5

Let Area = A

A = x(x + 5)

A = x2 + 5x

if α and β are the zeroes of the polynomial 3x^2 - 8x − 3 then find the value of i) α^2 + β^2 ii) α^-1 + β^-1​

Answers

Step-by-step explanation:

the answer is in the above image

Rachel loaned Adam $8510 at an interest rate of 13 % for 2 years. How much will Adam pay Rachel at the end of 2 years? Round your answer to the nearest cent, if necessary.

Answers

Rachel will owe Adam 10,722.6 at the end of the 2 years.

Triangle NJK is similar to triangle LMK by​

Answers

Answer:

B

Step-by-step explanation:

SAS cuz ML~NJ and K is common angle

The midpoint of two points is (5,4). If one of the points is (3,5), find the other point.

Answers

the other point should be (7,3). 5-2 is 3 so 5+2 is 7 and 4+1 is 5 and 4-1 is 3
answer:
(4, 4.5)
explanation:
(5+3 / 2 , 4+5 / 2)

plz anser this nathanmalhotra (if your not them dont anserw) From midnight to 7:00 am, the temperature rose 3/10 °C each hour. If the temperature at midnight was −1°C, what was the temperature at 7:00 am?

Answers

Answer:

11/10°C

Step-by-step explanation:

7 x 3/10 = 21/10

Temperature at midnight = -1°C

Temperature at 7.00 am = 21/10°C -1°C = 11/10°C

Answer:

1.1°C

Step-by-step explanation:

Assuming we are starting at midnight, we know that at midnight it is -1°C. We want to find the temperature at 7:00 AM. Or 7 hours later than midnight. The question says that every hour the temperature rises by 3/10°C. In 7 hours, we need to multiply 3/10*7=21/10=2.1 °C. So, it rises by 2.1 °C. Next add that to the -1 from midnight. Do 2.1+-1=1.1 °C.

Hope this helps!

A right triangle has a height of 22 centimeters and a base of 11 centimeters What is the area of the triangle ?


SOMEONE HELP ASAP !!!​

Answers

Answer:

121 cm^2

Step-by-step explanation:

area of triangle = base*height/2

=11*22/2

=242/2

=121 cm^2

2 263 *?-90 oy + 2000 y2-5504z -30253 sutry-454)37200​

Answers

Answer:

hello

Step-by-step explanation:

I did not known your answer

the figure below is a square . Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

[tex]\sqrt{14}[/tex]

Step-by-step explanation:

In any square with side length [tex]s[/tex], the diagonal of the square is equal to [tex]s\sqrt{2}[/tex]. Since the side length of this square is [tex]\sqrt{7}[/tex], the diagonal is equal to [tex]\sqrt{7}\cdot \sqrt{2}=\boxed{\sqrt{14}}[/tex].

Alternatively, you can form two 45-45-90 triangles with the diagonal of the square. The diagonal acts as the hypotenuse for the both these triangles, and the legs of both triangles are equal to the side length of the square. To find the length of the diagonal, use the Pythagorean Theorem, which states [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle, and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.

In this question, both legs are equal to [tex]\sqrt{7}[/tex], and we're solving for the diagonal, which is the hypotenuse in this case:

[tex]\sqrt{7}^2+\sqrt{7}^2=c^2,\\c^2=14,\\c=\boxed{\sqrt{14}}[/tex]

pls tell me the correct option

Answers

Answer: I would go with C I hope i am right!!

Step-by-step explanation:

Answer:

b. [tex] \frac{1}{16} [/tex]

Step-by-step explanation:

A = {2, 3}

B = {4, 6}

C = set of all possible fractions where, the numerators are in set A and the denominators are found in Set B

The 4 possible fractions we can get for set C are as follows:

Set C: { [tex] \frac{2}{4} [/tex] , [tex] \frac{2}{6} [/tex] , [tex] \frac{3}{4} [/tex] , [tex] \frac{3}{6} [/tex] }

Multiply all to get the product of all elements in Set C:

[tex] \frac{2}{4}*\frac{2}{6}*\frac{3}{4}*\frac{3}{6} [/tex]

Simplify where necessary

[tex] \frac{1}{2}*\frac{1}{3}*\frac{3}{4}*\frac{1}{2} [/tex]

[tex] \frac{1*1*3*1}{2*3*4*2} [/tex]

[tex] \frac{3}{48} [/tex]

Simply further

[tex] \frac{1}{16} [/tex]

The Eastminster Widget Company has an old machine that can produce 36
widgets in 9 hours, and a newer machine that can produce 40 widgets in 8
hours. Working together, how long would it take to produce 100 widgets?

Answers

Answer:

22 hours

Step-by-step explanation:

Old machine produces 36 widgets in 9 hours. The number of widgets produced in an hour can be determined as;

In 1 hour = [tex]\frac{36}{9}[/tex]

              = 4 widgets

New machine can produce 40 widgets in 8 hours. The umber of widgets produced in an hour can be determined as;

In 1 hour = [tex]\frac{40}{5}[/tex]

              = 5 widgets

Thus, let the time required by old machine be represented by s, and that of new machine by y. Working together we have;

4x + 5y = 100

(4 * 10) + (5 * 12) = 100

Thus the old machine would work for 10 hours, while the new machine would work for 12 hours to produce 100 widgets.

Working together, it would take both machines 22 hours.

deepak wrote out the steps to his solution of the equation 5/2-3x-5+4x=-7/4

Answers

Answer:

x = 3/4

Step-by-step explanation:

5/2-3x-5+4x=-7/4

Combine  like terms

-10/2 + 5/2 +x = -7/4

-5/2+ x = -7/4

Add 5/2 to each side

-5/2+5/2 +x = -7/4 + 5/2

x = -7/4+5/2

Get a common denominator

x = -7/4 + 10/4

x = 3/4

what is the gradient of line Y =-3×+5​

Answers

Gadient: -3
The form: y=ax+b
a: gadient
b: intercept

chung minh phan so sau toi gian : 21n+4/14n+3

Answers

Step-by-step explanation:

Cog, KY tj, kyzkysiyso6doydi6wkyx co70 kysu5, 5i

i can't do this question can someone help me

Answers

Answer:

A=-3

Step-by-step explanation:

To begin, a parabola of form a(x-h)² +k opens upward when a is positive. Similarly, when a is negative, the parabola opens downward. Therefore, a must be negative here, as our expression for the parabola is a(x-0)²+0 = ax², with (0,0) being (h,k) and the vertex.

To determine whether a should be -3 or -0.6, we can think about the values on the graph that correspond to these values. A narrower graph would have a steeper slope. A narrower graph would have a large change in y with little change in x. Therefore, as ax² = y is our equation, and when a=-3, y changes more rapidly relative to when a = -0.6, A=-3 is our answer

Divisibility rules for 2, 5, and 10


Which numbers are divisible by 5?

A)222

B)185

C)847

or none of these

Answers

Answer:

185 is divisible by 5.

Step-by-step explanation:

Anything that ends in a 0 or 5 can be divisible by 5.

Answer:

Hello There!!

Step-by-step explanation:

The answer is B)185 because a number divisible by 5 ends in 0 or 5.

hope this helps,have a great day!!

~Pinky~

question is worth 4 marks The ble below show the food the number of calories per serving and the number of servis hained Open strict diet where he can only have a total of 1800 calories per day notion in the table have create a balanced meal of 3 items, one serving each he bave for Number of Se 15 2​

Answers

Answer:

തത് httht bytbtybbybbtybbybyybyv6vyvyvtv5ct

Which is greater than 4?(show work)
(a) 5,

(b) -5,

(c) -1/2,

(d) -25.

Answers

Answer:

Letter A) 5

Step-by-step explanation:

all the other answers are negative so they are less than 4.

5 comes after 4 so 5 is greater than 4.

Hope this is helpful

which statement about 0 is true ?

Answers

Answer:

❍ C. tan θ = 8 / 15

Step-by-step explanation:

Using trigonometry functions

sin θ = opposite side / hypotenuse

= 8 / 17

tan θ = opposite side / adjacent side

= 8 / 15

Hence, tan θ = 8 / 15 which is option C. is the correct statement.

pls tell the answer by step by step

Answers

The point lies in 2nd quadrant.

Answer:

second quadrant

Step-by-step explanation:

here , -2 is x component and y component is 5

since x component is negative and y component is positive it lies on the second quadrant.

Note: if both x and y component are positive then the point lies on first quadrant.

id x component is negative and y component is positive then the point lies on second quadrant.

if x both x and y component are negative then the point lies on third quadrant.

if x component is positive and y component then the point lies on fourth quadrant.

find the surface area of the composite figure. 6cm 5 cm 20cm 4cm 12cm 6cm​

Answers

Answer:

644 cm²

Step-by-step explanation:

Surface area of the composite figure = surface area of the large rectangular prism + surface area of the small rectangular prism - 2(area of the surface of the small rectangular prism that joins the larger prism)

✔️Surface area of the large rectangular prism = 2(LW + LH + WH)

L = 6 cm

W = 5 cm

H = 20 cm

Surface area = 2(6*5 + 6*20 + 5*20)

= 500 cm²

✔️Surface area of the small rectangular prism = 2(LW + LH + WH)

L = 6 cm

W = 4 cm

H = 12 cm

Surface area = 2(6*4 + 6*12 + 4*12)

= 288 cm²

✔️area of the surface of the small rectangular prism that joins the larger prism = L*W

L = 12 cm

W = 6 cm

Area = 12*6

= 72 cm²

✅Surface area of the composite figure = 500 + 288 - 2(72)

= 644 cm²

Laura bought the apples, bananas, and strawberries shown below to use in a fruit salad. What percent of the fruit is apple?​

Answers

Answer:

4/12

Step-by-step explanation:

i am not good at this but i will try☺

Answer:

30%

Step-by-step explanation:

To find the percentage of something we decide the amount of things we want to find the percentage off by the total amount of things and then multiply the product by one hundred.

Apple: 4

Total fruit: 12

So,

4/12 = 0.3

The percentage of apples:

30%

1) Mrs Tan is 43 years old and her daughter is 17 years old. How many years ago was Mrs Tan 3 times as old as her daughter?

2)Amy is 9 years old younger then her younger sister. if her younger sister is now 1 year old, how many years later will Amy be 4 times as old as her younger sister?​

Answers

Answer:

No 1

Here,

Let X be age of daughter

and 3X be age of father

Now,x+17+3 = 20 age

and 3x+43-20 = 7point9x

Step-by-step explanation:

So,

20÷7point9 = 2point8 years ago

Hence,

age of father = 48÷2point8 = 21point5 years

age of daughter = 20÷2point8 = 10 years

so, before 2point8 years ago father was as old as his daughter

A fishing trawler sails from port P in the direction 024o for 30 km, and then in the direction 114o for 20 km. Calculate: a) the distance and bearing of the trawler from P b) the direction in which the trawler must sail in order to return to P
Please use diagrams to explain.

Answers

Answer:

write these time in words 3:45

7 th term and 14 th term of an Arithmetic sequence are 36 and 64 respectively , find the common difference and ,25th term

Answers

Answer:

(a) The common difference is 4

(b) The 25th term is 108

Step-by-step explanation:

Given

[tex]T_7 = 36[/tex]

[tex]T_{14} = 64[/tex]

Solving (a): The common difference

The nth term of an AP is:

[tex]T_n = a + (n -1)d[/tex]

For the 7th term, we have:

[tex]36 = a + (7 -1)d[/tex]

[tex]36 = a + 6d[/tex]

For the 14th term, we have:

[tex]64 =a + (14 -1)d[/tex]

[tex]64 =a + 13d[/tex]

Subtract both equations

[tex]64 - 36 = a - a +13d-6d[/tex]

[tex]28 = 7d[/tex]

Divide by 7

[tex]d = 4[/tex]

Solving (b): The 25th term

First, we calculate the first term (a)

The 7th term of the progression is:

[tex]36 = a + 6d[/tex]

Substitute [tex]d = 4[/tex]

[tex]36 = a + 6 * 4[/tex]

[tex]36 = a + 24[/tex]

Subtract 24

[tex]a = 36 -24[/tex]

[tex]a = 12[/tex]

The 25th term is:

[tex]T_{25} = a + (25 - 1)d[/tex]

[tex]T_{25} = 12 + (25 - 1)*4[/tex]

[tex]T_{25} = 12 + 24*4[/tex]

[tex]T_{25} = 108[/tex]

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