The "HOPE PROBE " launched by Abu Dhabi weighed 1350 Kg along with the fuel it carried . If it uses 576 Kg of fuel during its journey, can you find its present weight ?

Answer:

a.20%

Step-by-step explanation:

because of the book is 100$ and the thereby sold it and gained 20$ equals to 20%

Answer:

a) (-4, 5)

b) (4, -5)

Step-by-step explanation:

Just reverse the signs or use desmos as a better example.

Answer:(4,-5) and (-4,5)

Step-by-step explanation: anything reflected from the x or y axis is the postive version which is  -4 has an absolute value of 4

Answer:

It won't carry it safely

Step-by-step explanation:

truck capacity ? load value

5000 gallons ? 600 bushels

5000 gallons < 5585 gallons

600 bushels ie 5585 gallons is larger than 5000 gallons, which is the truck's capacity

Answer:

96 is the 6th term of the geometric sequence

Step-by-step explanation:

The sequence is just adding the number twice to get the nect sequence.

So,

3+3 = 6

6+6 = 12

12+12 = 24

24+24 = 48

48+48 = 96   this is the 6th term

Hope this is helpful

Slope = Y2-Y1/X2-X1 = 7-(-3)/3-(-2)= 10/5 = 2

Answer:

B. 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (-2, -3)

Point (3, 7)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

diameter will be 26ft that's D

Answer:

We are dividing a slab of wood into equal pieces, so the obvious function would be to divide. And how long are the pieces going to be? 1/4 of a foot. so that gives us:

6 ÷ ¼.

Now, when we divide by a fraction, we flip the numerator and denominator and multiply, so the equation will look like:

6 * 4

Solve that, and you'll have your answer.

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answers:

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Explanation:

Point A is at (-3, 4). If we apply the translation rule of "shift 9 units to the right and 6 units down", then we apply this transformation

[tex](x,y) \to (x+9,y-6)[/tex]

We add 9 to the x coordinate and subtract 6 from the y coordinate.

So (-3,4) becomes (-3+9, 4-6) = (6, -2) which is where point A' is located in the diagram. You should find that points B,C,D all map to B', C', D' following this same translation rule.

Therefore, statement 1 is true.

Statement 3 is the same idea, but the order has been swapped. The order doesn't matter in this case. So that makes statement 3 true as well.

-----------------------------------------------

Statement 2 on the other hand is false

Why? Because a reflection reverses the orientation of a figure. Note how both squares ABCD and A'B'C'D' all go clockwise when we go through the alphabet (ie A to B to C to D).

If a reflection happened, then A'B'C'D' would go counterclockwise and show that the orientation has been swapped. I recommend drawing an analogue clock and going up to a mirror to see that the orientation has swapped.

To swap the orientation back, you need a second reflection. This shows that two reflections either lead to a translation or a rotation (depending if the mirror lines are parallel or not).

If you wanted, you could track to see where point B ends up if you follow statement 2. Point B is at (-1, 4). Reflect over the y axis to get to (1, 4). Then shift 6 units down to arrive at (1, -2) which is not the correct location of B'. The diagram shows B' is actually at (8, -2). So this is an alternative way to see how statement 2 is false.

Answer:

True

False

True

Step-by-step explanation:

Answer:

21/18 which simplifies to 7/6

Step-by-step explanation:

Answer:

x = −14 or x = −4

Step-by-step explanation:

Answer:

wait

Step-by-step explanation:

 =  1 4

 =  −  4

The equation in the problem solves the speed as 48.99 miles per hour. At this speed the car takes 100 feet to stop ( also shown in the equation as they replaced d with 100).

This means any speed below 48.99 miles per hour would stop before hitting the tree.

The fastest the car can go would be 48.98 miles per hour.

Justify by replacing s in the equation with 48.98 and solve for d:

48.98 ^2 = (sqrt( 30(0.8)d)

2399.04 = 24d

D = 2399.04/24

D = 99.96 feet

This is less than 100 feet so the car will not hit the tree.

Answer:

[tex]{ \tt{ \frac{3.6 \times {10}^{8} }{1.2 \times {10}^{3} } }} \\ = { \tt{ \frac{3.6}{1.2} \times \frac{ {10}^{8} }{ {10}^{3} } }} \\ = 3 \times {10}^{5 } \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

Given:

Selling price (S.P.)= $4,600

Cost price (C.P.)= $4,000

To find:

The profit percentage.

Solution:

Formula used:

[tex]\text{Profit}\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

Using this formula, we get

[tex]\text{Profit}\%=\dfrac{4600-4000}{4000}\times 100[/tex]

[tex]\text{Profit}\%=\dfrac{600}{40}[/tex]

[tex]\text{Profit}\%=15[/tex]

Therefore, the profit percentage is 15%.

Answers:

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Explanations:

24) IN A PARALLELOGRAM OPPOSITE ANGLES ARE EQUAL

3y + 2 = 62

3y = 62 - 2

3y = 60

y = 60/3

y = 20°

ALSO IN A PARALLELOGRAM ADJACENT SIDES SUM IS 180°

62 + 5x + 3 = 180°

5x + 65 = 180

5x = 180 - 65

5x = 115

x = 115/5

x = 23°

so option c is correct

.

.

.

25) IN A PARALLELOGRAM THE SIDES OF SAME DIAGONAL ARE EQUAL

5x - 4 = 10x - 24

5x - 10x = -24 + 4

-5x = -20

x = 20/5

x = 4

4x + 14 = 3y + 9

4(4) + 14 = 3y + 9

16 + 14 = 3y + 9

30 = 3y + 9

3y = 30 - 9

3y = 21

y = 21/3

y = 7

.

.

.

so option b is correct

I KNEW ONLY THESE BOTH QUESTIONS

Answer:

-3, -13, -23, -33, -43

Step-by-step explanation:

An atithmetic sequence has a common difference between each term

in -3, -13, -23, -33, -43

the difference between terms is a constant -10

Answer:

XY = 4.75 cm

Step-by-step explanation:

Δ VXY and Δ VWZ are similar so the ratios of corresponding sides are equal, that is

[tex]\frac{XY}{WZ}[/tex] = [tex]\frac{VX}{VW}[/tex] , substitute values

[tex]\frac{XY}{2.5}[/tex] = [tex]\frac{4.5+5}{5}[/tex] = [tex]\frac{9.5}{5}[/tex] ( cross- multiply )

5 XY = 23.75 ( divide both sides by 5 )

XY = 4.75 cm

Answer:

[tex]x = \frac{1 + \sqrt{41} }{10} \: \: or \: \: x = \frac{1 - \sqrt{41} }{10} [/tex]

Step-by-step explanation:

Ensure that the equation is in the form of ax² +bx +c= 0.

5x² -x +1= 3

5x² -x +1 -3= 0 (-3 on both sides)

5x² -x -2=0

Here, a= 5, b= -1, c= -2.

Use the quadratic formula below to solve for x.

[tex]\boxed{x = \frac{ - b± \sqrt{b^{2} - 4ac } }{2a} }[/tex]

[tex]x = \frac{ - ( - 1)± \sqrt{( -1 )^{2} - 4(5)( - 2)} }{2(5)} [/tex]

[tex]x = \frac{1± \sqrt{1 + 40} }{10} [/tex]

[tex]x = \frac{1± \sqrt{41} }{10} [/tex]

[tex]∴x = \frac{1 + \sqrt{41} }{10} \: \: or \: \: x = \frac{1 - \sqrt{41} }{10} [/tex]

Step-by-step explanation:

First, lets understand the question. When it says to find all the "real" solutions, that means you should not give any solutions containing an imaginary number.  An imaginary number is basically where we accept that there exists an i  (imaginary number) that is equal to [tex]\sqrt{-1\\}[/tex]  (square root of negative 1). So we are not considering this concept in this question.

Let's start solving then. Can you think of an equation that may help you solve this problem? The biggest clue is that x is squared.  If you said the quadratic formula, then you are perfectly correct!

Remember in order to use the quadratic formula, you must get your equation into the form:

[tex]ax^{2} +bx +c=0[/tex]

Let's do it! Right now we have:

[tex]5x^{2} - x +1=3[/tex]

Get rid of the 3 by subtracting it from both sides:

[tex]5x^{2} -x+1 -3 = 3 - 3\\5x^{2} -x-2=0[/tex]

Okay! it looks like our quadratic form now! By comparing it we can figure out what a, b, and c are in this case:

[tex]a = 5,{ }\\ b = -1, { }\\c = -2[/tex]

Let's get out our quadratic formula now:

[tex]\frac{ -b\frac{+}{} \sqrt{b^{2} -4ac} }{2a}[/tex]

All that's left to do is insert values and solve! (Be really careful when dealing with the negatives):

[tex]\frac{ -1\frac{+}{} \sqrt{(-1)^{2} -4(5)(-2)} }{2(5)}[/tex]

[tex]=\frac{ -1\frac{+}{} \sqrt{41} }{10}[/tex]

Removing the plus/minus we get two answers:

[tex]=\frac{ -1+ \sqrt{41} }{10}\\\\or\\\\=\frac{ -1-\sqrt{41} }{10}[/tex]

These are the most simplified forms!  It turns out we didn't even have to worry about imaginary solutions because we didn't end up with a negative sign under the square root. Hope this helps, and good luck!

Answer:

[tex]m=7\frac{5}{16}[/tex]

Step-by-step explanation:

[tex]\frac{1}{9}(2m - 16)=\frac{1}{3}(2m + 4)[/tex]

[tex]\frac{2}{9}m - 1\frac{7}{9} =\frac{2}{3}m+ 1\frac{1}{3}[/tex]

[tex]\frac{2}{9}m - 1\frac{7}{9} -1\frac{1}{3} =\frac{2}{3}m+ 1\frac{1}{3}-1\frac{1}{3}[/tex]

[tex]\frac{2}{9}m - 3\frac{1}{9} =\frac{2}{3}m[/tex]

[tex]\frac{2}{3}m-\frac{2}{9}m= \frac{2}{9}m -\frac{2}{9}m - 3\frac{1}{9}[/tex]

[tex]\frac{4}{9}m= - 3\frac{1}{9}[/tex]

[tex]\frac{4}{9}m/\frac{4}{9} = - 3\frac{1}{9}/\frac{4}{9}[/tex]

[tex]m=7\frac{5}{16}[/tex]

Arithmetic

Bring all numbers in the parentheses to the third power.

[tex]( { - 5}^{3} \times {4}^{3} )[/tex]

It is easier to not simplify the numbers.

[tex] { - 5}^{3} \times {4}^{3} = { - 20}^{3} [/tex]

Don't add the exponents, and multiply the numbers.

The expression (–5 × 4)³ is equivalent to the expression –8000.

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ (–5 × 4)³

Simplify the expression, we have

⇒ (–5 × 4)³

⇒ (–20)³

⇒ –20³

⇒ –8000

More about the equivalent link is given below.

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Answer:

150%

Step-by-step explanation:

Answer:

100 percent is the answer

Answer:

x = 14

4x = 56

3x - 8 = 34

Step-by-step explanation:

(4x) + (3x -8) = 90

7x + (-8) = 90

7x - 8 = 90

7x (- 8 + 8) = 90 + 8

7x = 98

7x/7 = 98/7

x = 14

4 x 14 = 56

3 x 14 = 42 - 8 = 34

56 + 34 = 90

Answer:

75 grams

Step-by-step explanation:

We need to write a ratio to solve

12 grams pro              9 grams pro

-----------------          =   -------------------

100 grams cereal          x grams cereal

Using cross products

12x = 100 *9

12x = 900

Divide by 12

12x/12 = 900/12

x =75

Answer:

75 grams of cereal will give 9 grams protein.

Step-by-step explanation:

Given :-

To Find :-

Solution :-

Let grams of will give you 9 grams of protein = x

To solve it, we need to write it in ratios

12 grams protein = 100 grams cereal

9 grams protein = x grams cereal

Using cross multiplication method

12 × x =9 × 100

12 x = 900

Divide each side by 12

12 x / 12 = 900/12

x = 75

Answer:

C, D and F are true

Step-by-step explanation:

The DCB triangle is isosceles, so it means the angles D and B are the same and as the angle C is 90°, B and C need to be 45° (because the sum of the internal angles of a triangle is always 180°). The sin(B) = sin(C) = sqrt2/2 and the tan(B) = tan(C) = 1

Answer:

221

Step-by-step explanation:

13 x 17 = 221

Answer:

cos C= 15/39

Step-by-step explanation:

The value of cos C rounded to the nearest hundredth is 0.38.

In a right angle triangle the cosine of an angle is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.

Pythagoras' theorem states that for all right-angled triangles, "The square on the hypotenuse is equal to the sum of the squares on the other two sides".

According to the given question

We have a right angled triangle ABC, in which right angle is at B.

Also,

BC = 15

AB = 36

[tex]AC = \sqrt{AB^{2}+BC^{2} }[/tex]              (By Pythagoras theorem)

⇒[tex]AC = \sqrt{15^{2} +36^{2} }[/tex]

⇒[tex]AC = \sqrt{1521}[/tex]

⇒AC = 39

⇒ Hypotenuse of triangle ABC is 39.

Now, the adjacent side w.r.t ∠C is BC

Therefore, the cosine of an angle C is given by

[tex]cosC=\frac{BC}{AC}[/tex]

⇒[tex]CosC= \frac{15}{39} =\frac{5}{13}[/tex]

⇒[tex]cosC =0.38[/tex]

Hence, the value of cos C rounded to the nearest hundredth is 0.38.

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Answer:

7x-1+2x-1=7

9x-2=7

9x=7+2

9x=9

÷9

x=1

Answer:

7 cm and 2 cm

Step-by-step explanatio