Calcule as expressões:
a) (-1/2)² + 2/5 =
b) (-1/2)³ + 1 =
c) (2/5)² x (-1/2)³ =
d) 2 x (-1/3)² - (1/2) =
e) 1 + (+2/5) – ( ½)² =

Answers

Answer 1

Step-by-step explanation:

a, 1/4+2/5=13/20

b,-1/8+1=7/8

c, 4/25×-1/8=-1/50

d, 2×1/9-1/2=2/9-1/2=-5/18

e, 1+2/5-1/4=7/5-1/4=23/20


Related Questions

Which statement is true for the numbers 2.5 and -2.5?
A.
On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point.
B.
On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero.
C.
On the horizontal number line, 2.5 and -2.5 are both located to the right of zero.
D.
On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.

Answers

Answer:

B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero

ANSWER

B.

Hope this helps <33!

If EF = 117 , FG = 100, EG = 94, IJ = 40 , and HJ = 37.6 , find the perimeter of HIJ. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.

Answers

Answer:

124.4

Step-by-step explanation:

Perimeter of ∆HIJ = IJ + HJ + HI

IJ = 40

HJ = 37.6

HI = ?

Let's find HI

∆HIJ and ∆EFG are similar. Since they have equal corresponding angles. Therefore, the ratio of their corresponding sides would be equal.

Thus:

EF/HI = FG/IJ

EF = 117 (given)

HI = ?

FG = 100 (given)

IJ = 40 (given)

Plug in the values

117/HI = 100/40

117/HI = 2.5

117 = HI*2.5

117/2.5 = HI

HI = 46.8

✔️Perimeter of ∆HIJ = IJ + HJ + HI

= 40 + 37.6 + 46.8

= 124.4

Will give brainliest!!!
2.6(5.5p – 12.4) = 127.92
p=

Answers

Answer:

[tex]p=11.2[/tex]

Step-by-step explanation:

Given [tex]2.6(5.5p-12.4)=127.92[/tex], distribute to remove the parentheses:

[tex]2.6\cdot 5.5p-2.6\cdot 12.4=127.92[/tex]

Simplify:

[tex]14.3p-32.24=127.92[/tex]

Add 32.24 to both sides:

[tex]14.3p=160.16[/tex]

Divide both sides by 14.3:

[tex]p=\frac{160.16}{14.3}=\boxed{11.2}[/tex]

Differentiate
[tex]y = 3x {}^{3} + 8x - 7[/tex]



Answers

Answer:

y=9x^2 + 8

Step-by-step explanation:

using the power rule, we will differentiate each term separately

d/dx of 3x^3 = (3)(3)x^(3-1) = 9x^2

d/dx of 8x = 8x^(1-1) = 8

d/dx of -7 = 0

combining them we get the derivative which is y = 9x^2 + 8

Answer:

9x² + 8

Step-by-step explanation:

The given function to us is ,

[tex]\implies y = 3x {}^{3} + 8x - 7[/tex]

And we need to differentiate the given function with respect to x . Taking the given function and differenciating wrt x , we have

[tex]\implies y = 3x^3 + 8x - 7 [/tex]

Recall that , the derivative of constant is 0 . Therefore ,

[tex]\implies \dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3 + 8x - 7) \\\\\implies\dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3)+\dfrac{d}{dx}(8x) + 0 \\\\\implies\dfrac{dy }{dx}= 3\times 3 . x^{3-1} + 8\times 1 . x^{1-1} \\\\\implies\underline{\underline{\dfrac{dy }{dx}= 9x^2+8}} [/tex]

Hence the derivative of given function is 9x² + 8 .

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If a function is continuous at a point, then it is differentiable at that point.

Answers

Answer:

See Explanation

Step-by-step explanation:

If a Function is differentiable at a point c, it is also continuous at that point.

but be careful, to not assume that the inverse statement is true if a fuction is Continuous it doest not mean it is necessarily differentiable, it must satisfy the two conditions.

the function must have one and only one tangent at x=cthe fore mentioned tangent cannot be a vertical line.

                                          And

If function is differentiable at a point x, then function must also be continuous at x. but The converse does not hold, a continuous function need not be differentiable.

For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.

A boy who is 1.4m tall, sighted the top of a flag pole at an angle of elevation of 36°. if the boy is 9.5m away from the flag pole, calculate the height of the flag pole​

Answers

Answer:

The height of flag pole=8.3m

Step-by-step explanation:

We are given that

Height of boy=1.4 m

[tex]\theta=36^{\circ}[/tex]

Distance of boy from the flag pole=9.5 m

We have to find  the height of the flag pole​.

BCDE is a rectangle

BC=ED=1.4 m

CD=BE=9.5 m

In triangle ABE

[tex]\frac{AB}{BE}=tan36^{\circ}[/tex]

Using the formula

[tex]tan\theta=\frac{Perpendicular\;side}{base}[/tex]

[tex]\frac{AB}{9.5}=tan 36^{\circ}[/tex]

[tex]AB=9.5tan36^{\circ}[/tex]

AB=6.90 m

Height of flag pole=AB+BC=6.90+1.4

Height of flag pole=8.3m


Two
1 1 sides of trapezium are bound 60 cm & 77cm
outer sides are 25cm. & 26cm Find the
area of trapezium

Answers

Answer:

area ABEC

[tex]s =\frac{25 + 26 + 17}{2} = 34[/tex]

area ∆ BEC

[tex] = \sqrt{34 \times 9 \times 8 \times 17} [/tex]

[tex]17 \times 3 \times 2 \times 2 = 204cm ^{2} [/tex]

area ∆ BEC

[tex] = \frac{1}{2} \times 17 \times h = 204[/tex]

[tex]h = \: \frac{204 \times 2}{17} = 24[/tex]

[tex]area \: trap \: \: abcd \\ = \frac{1}{2}(60 + 77) \times 24 \\ = 137 \times 12 = 1644cm ^{2} [/tex]

Step-by-step explanation:

❣️Jess bragoli❣️

#keep learning!!

What value of c makes the equation true?
(PLEASE HELP, and look at the picture)

Answers

Answer:

[tex]\displaystyle c = 8[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \frac{3}{6} = \frac{4}{c}[/tex]

Step 2: Solve for c

Simplify [Reduce]:                                                                                             [tex]\displaystyle \frac{1}{2} = \frac{4}{c}[/tex][Multiplication Property of Equality] Cross-multiply:                                      [tex]\displaystyle c = 8[/tex]

Answer:

c = 8

Step-by-step explanation:

[tex] \small \sf \frac{3}{6} = \frac{4}{c } \\ [/tex]

Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6c, the least common multiple of 6,c.

c × 3 = 6 × 4

multiply 6 and 4 to get 24

3c = 24

divide both side by 3

[tex]\small \sf \frac{3c }{3} = \frac{ 24} {3} \\ [/tex]

[tex]\small \sf \frac{ \cancel{3}c }{ \cancel{3}} = \frac{ \cancel{24}} {\cancel{3}} \\ [/tex]

Divide 24 by 3 to get 8.

c = 8

Mrs.Carlyle bought a bag of peanuts for her children. When Phillip, Joy, Brent, abd Preston came home from school, they each took some peanuts from the bag.

Answers

Whats the question?

What is –70 divided by 700


PLZ HELP ME!!!

Answers

Answer: -0.1

Step-by-step explanation: Calculator

Hello!

-70 : 700 = -0,1 answer

Good luck! :)

Select the correct answer.
What is the value of this expression when x=-6 and y=-2?
4(x + 3) - 2y

Answers

Answer:

-8

Step-by-step explanation:

Plug in the values of each variable:

4(-6 + 3) - 2(-2)

Use PEMDAS:

4(-3) - 2(-2)

-12 + 4

-8

Answer:

-8

Step-by-step explanation:

* means multiply

just plug in the values

4 ( -6 + 3 ) - (2 * -2)

use pemdas

so parenthesis first

4 * -3 - (-4)

then multiply

-12 - (-4)

-12 + 4

-8

Kyle built a tree house 4 ft. by 6 ft. What was the area of the tree house?

Answers

24 squarefeet; 4*6=24

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

15.4 (rounded to 1dp)

Step-by-step explanation:

Regan earns $1380 per month out of which he saves $1140 per month. What is the ratio (in the lowest form) of Regan's income to his savings? $$

Answers

Answer:

23:19

Step-by-step explanation:

This questions is looking for this ratio:

income:savings

Regan's income is $1,380 per month.

Regan's savings is $1,140 per month.

Substitue those numbers in our original ratio, and you'll get this:

1380:1140

However, this question wants the lowest form of the ratio.

To do that, you can find the GCF (greatest common factor) and divide both number's by it, or you can just randomly divide them by small numbers you know both of them are divisible by.

I'm going to use the 2nd method because it's usually quicker for big numbers like these:

1380/10 = 138

1140/10 = 114

138/2 = 69

114/2 = 57

69/3 = 29

57/3 = 19

29 and 19 are prime numbers, so you can't divide them anymore. This is how we know we've reached the lowest terms of these numbers.

So the answer is 29:19

Hope this helps (●'◡'●)

Answer: 23:19

Step-by-step explanation: 1380 and 1140 LCM is 60. 1380/6 = 23 and 1140/6= 19

Therefore, the answer is 23:19

This year, Carlos planted 6 more than one-third of the cucumber plants he planted last year. How many cucumber
plants did he plant this year if last year he planted 12 plants?
6
9
10
12? PLEASE HELP SMB

Answers

Answer:

10 plants

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

He planted 10 this year because last year he planted 12, and 1/3 of that is 4. He planted 6 more than that this year, so 4+6=10.

Help Help Help Help Help Help Help Help Help Prove the divisibility of the following numbers: 10^9+10^8+10^7 by 555

Answers

10⁹ + 10⁸ + 10⁷ = 10⁷ (10² + 10¹ + 10⁰)

… = 10⁷ (100 + 10 + 1)

… = 10⁷ × 111

… = (2 × 5)⁷ × 111

… = 2⁷ × 5⁷ × 111

… = 2⁷ × 5⁶ × 555

Help pls. I give all points i have​

Answers

Answer:

100 cm so .............qsuw

Five students are lined up in a row. How
many arrangements could be made if
the position of the last boy remains
unchanged?
(WAEC)​

Answers

Step-by-step explanation:

16 arrangement can be done

The 24 arrangements could be made if the position of the last boy remains unchanged.

Arrangement

Arrangement is a plans or preparations for a future event.

How to solve this problem?

The steps are as follow:

Given, Five students are lined up in a rowWe have make the arrangment such that last boy should remain unchangedTo find how many arrangements are possible in a set of objects, use the formula below, where x is the number of objects.

x! , where,! is factorial

x! is equal to x*(x-1)*(x-2)*(x-3)*…(x-(x-1))

In this case we have to take x equal to 4 because last boy to remain unchanged

∴ 4*3*2*1 = 24 arrangments

Therefore total 24 arrangements could be made if the position of the last boy remains unchanged.

Learn more about arrangment here:

https://brainly.com/question/251701

#SPJ2

PLZ ANSWER ILL GIVE BRAINLIEST FIRST CORRECT ANSWER

Answers

Answer:

B) Y=-2x+1

Step-by-step explanation:

(-2,5)(2,-3)

M= -8/4 = -2

y = -2x + b

5 = -2(-2)+ b

B= 1

Y=-2x+1

help me solve pleassee​

Answers

Answer:

122.5 cm²

Step-by-step explanation:

the area of shaded region =

(14×10) - (7 × 2.5)

= 140 - 17.5

= 122.5 cm²

what is the length of KM ? no links . HELP

Answers

Answer:

40 units

Step-by-step explanation:

9x-5=7x+7

9x-7x=7+5

2x=12

x=6

6x+4

6(6)+4

36+4

40

If A and B are independent events, P(A and B) =

Answers

Answer:

If A and B are independent events, then the events A and B' are also independent. Proof: The events A and B are independent, so, P(A ∩ B) = P(A) P(B). From the Venn diagram, we see that the events A ∩ B and A ∩ B' are mutually exclusive and together they form the event A.

Answer:

Step-by-step explanation:

Given A and B are independent events, P(A and B) = P(A)*P(B)

Which graph shows the solution to the system of linear inequalities?

x – 4y < 4

y < x + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

Answers

Answer:

its the 2nd

Step-by-step explanation:

The graph showing common region to both inequalities represents the solution coordinates that satisfy both inequalities.

What is inequality in mathematics?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given are the following inequalities -

x – 4y < 4

y < x + 1

We have the following inequalities -

x – 4y < 4

y < x + 1

Inequality [1]

x - 4y < 4

x - 4 < 4y

4y > x - 4

y > x/4 - 1

Inequality [2]

y < x + 1

Refer to the graph attached. The common region to both inequalities represents the solution.

Therefore, the graph showing common region to both inequalities represents the solution coordinates that satisfy both inequalities.

To solve more questions on inequalities, visit the link below-

brainly.com/question/26434651

#SPJ2

in the figure above, x =

Answers

It should be 110 degrees
110 degrees Hope that’s good

can I get this answers please ​

Answers

Answer: use g--gle or maths genie

Step-by-step explanation:

Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7

Answers

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

[tex]y=\dfrac{1}{4p}(x-h)^2+k[/tex]                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

[tex](h,k+p)=(6,-4)[/tex]

On comparing both sides, we get

[tex]h=6[/tex]

[tex]k+p=-4[/tex]                            ...(ii)

Directrix at y=-7. So,

[tex]k-p=-7[/tex]                            ...(iii)

Adding (ii) and (iii), we get

[tex]2k=-11[/tex]

[tex]k=\dfrac{-11}{2}[/tex]

[tex]k=-5.5[/tex]

Putting [tex]k=-5.5[/tex] in (ii), we get

[tex]-5.5+p=-4[/tex]

[tex]p=-4+5.5[/tex]

[tex]p=1.5[/tex]

Putting [tex]h=6, k=-5.5,p=1.5[/tex] in (i), we get

[tex]y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)[/tex]

[tex]y=\dfrac{1}{6}(x-6)^2-5.5[/tex]

Therefore, the equation of the parabola is [tex]y=\dfrac{1}{6}(x-6)^2-5.5[/tex].

7. Define a variable and write an expression for the phrase.
8 minus a number

Answers

A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables.


So basically for your expression:

8-x
Hope that helped
8-x ccccccccccccccccccccc

What is the equation of the following line?

Answers

Answer:

last one

y = [tex]\frac{1}{5}[/tex]x

Step-by-step explanation:

slope = [tex]\frac{3-0}{15-0}[/tex] = [tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]

y- intercept is 0

A is the correct answer since x=15

Factor completely x2 + 16

Answers

Answer:

not a factorable number i think

Step-by-step explanation:

Answer is : 2(x + 8)

What is the equation of the line graphed below?
5
-5
5
(1, -3)
-5
O A. y = 3x
B. y=-3x
c. y=-5
D. y =
-X

Answers

Answer:

C: y=-3x

Step-by-step explanation:

Rise over run: in this case you go down so -3/1=-3

Other Questions
how are the words refuge and refugee related? not how they are DIFFERENT. how they are RELATED. how are they similar? please give a clear explanation. 25 points The first mention of slavery in the statutes of the English colonies of North America does not occur until after 1660-some forty years after the importation of the first Black people. Lest we think that slavery existed in fact before it did in law, Oscar and Mary Handlin assure us that the status of Black people down to the 1660's was that of servants. A critique of the Handlins' interpretation of why legal slavery did not appear until the 1660's suggests that assumptions about the relation between slavery and racial prejudice should be reexamined and that explanations for the different treatment of Black slaves in North and South America should be expanded.The Handlins explain the appearance of legal slavery by arguing that, during the 1660's, the position of White servants was improving relative to that of Black servants. Thus, the Handlins contend, Black and White servants heretofore treated alike, each attained a different status. There are, however, important objections to this argument. First, the Handlins cannot adequate!y demonstrate that the White servant's position was improving during and after the 1660's; several acts of the Maryland and Virginia legislatures indicate otherwise. Another flaw in the Handlins' interpretation is their assumption that prior to the establishment of legal slavery there was no discrimination against Black people. It is true that before the 1660's Black people were rarely called slaves. But this should not overshadow evidence from the 1630's on that points to racial discrimination without using the term slavery. Such discrimination sometimes stopped short of lifetime servitude or inherited status-the two attributes of true slavery-yet in other cases it included both. The Handlins' argument excludes the real possibility that Black people in the English colonies were never treated as the equals of White people.This possibility has important ramifications. If from the outset Black people were discriminated against, then legal slavery should be viewed as a reflection and an extension of racial prejudice rather than, as many hIstorians including the Handlins have argued, the cause of prejudice. In addition, the existence of discrimination before the advent of legal slavery offers a further explanation for the harsher treatment of Black slaves in North than in South America. Freyre and Tannenbaum have rightly argued that the lack of certain traditions in North America-such as a Roman conception of slavery and a Roman Catholic emphasis on equality-explains why the treatment of Black slaves was more severe there than in the Spanish and Portuguese colonies of South America. 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