Answer:
-5.3 meters
The dolphin's friend is 5.3 meters below the water surface
Step-by-step explanation:
Complete question below:
A dolphin is swimming with her friend. The dolphin jumps to a height of 4.54 meters above the surface of the water as her friend swims 9.8 meters directly below her. What is the position of the dolphin's friend relative to the surface of the water?
Solution
The dolphin jumps to a height of 4.5 meters above the surface of the water
Her friend swims directly 9.8 meters below her
The position of the dolphin's friend relative to the surface of the water= dolphins position above the surface of the water - her friend's position below her
=4.5 meters - 9.8 meters
= -5.3 meters
-5.3 meters means below the water surfaces
This means, the dolphin's friend is 5.3 meters below the water surface
Briefly explain how you would graph an equation such as y=7x-2
Answer:
put a mark at negative 2 on the graph then you would go up seven rigght one until you cant then you would go back to -2 and go down seven left one until you cant
Step-by-step explanation:
Evaluate. Write in standard form.
Answer:
-i
Step-by-step explanation:
(-i)^0 = 1
(-i)^1 = -i
(-i)^2 = -1
(-i)^3 = -i
(-i)^4 = 1
(-i)^5 = -i
etc.
From this pattern, you see that when the exponent is a multiple of 4, you get 1. When the exponent is a multiple of 4 plus 1, you get -i, etc.
213 = 4 * 53 + 1
213 is 1 more than a multiple of 4.
(-i)^213 = (-i)^1 = -i
Which number is in the 3rd position after ordering in
descending order. V220,-10, V100, 11.5
Answer:
√100
Step-by-step explanation:
Given the following numbers: √220, -10, √100, 11.5,
Let's arrange the numbers from the largest to the smallest (in descending order).
Note: √220 ≈ 14.8
√100 = 10
From the largest to the smallest number, we have: √220, 11.5, √100, -10
Therefore, the number in the third position is √100
How many solutions are there for the absolute value equation, |16 + t| = – 3
Answer:
no solutions
Step-by-step explanation:
|16 + t| = – 3
Absolute values are greater than or equal to zero
They cannot be negative so there are no solutions
Answer:
no solutions
Step-by-step explanation:
|16 + t| = – 3
Absolute values are greater than or equal to zero
They cannot be negative so there are no solutions
16. Expand (2x - 1)(x - 3).
A. 2x2 - 7X+3 B. 2x2 +7x+3
C. 2x2-7X-3 D. 2x2+7X-3 E. x2+7X-3
Answer:
Hey there!
[tex](2x-1)(x-3)[/tex]
[tex]2x^2-1x-6x+3[/tex]
[tex]2x^2-7x+3[/tex]
Hope this helps :)
Answer:
see below
Step-by-step explanation:
the simple answer is a if you need an explanation just comment
372 to the nearest 100
Answer: 400
Explanation: To round 372 to the nearest hundred, we first find the digit in the rounding place which in this case is the 3 in the hundreds place.
To decide whether to round up or down, we look
at the digit to the right of the 3, which is 7.
According to the rules of rounding, if the digit to the right of the
rounding place is greater than or equal to 5, we round up.
So in this problem, since 7 is greater than or equal to 5, we round up.
This means that we add 1 to the 3 in the rounding place
to get 4 and all digits to the right of 4 become 0.
So 372 rounded to the nearest hundred is 400.
According to the number line, which statement MUST be true? A) A > 1 B) B > 4 C) C < 4 D) D < 0
Answer:
C) C < 4
Step-bay-step explanation:
> means "greather than"
< means "less than"
The only statement that is true:
C) C< 4
What is the probability of the complement of rolling a number less than 5 by using a six sided dye
Answer:
2/3
Step-by-step explanation:
Less than 5 is 1,2,3,4 and 4 out of 6 is also equal to 2/3
hi, please help me :)
Answer:
D. Linear
The answer is negative linear, because when it incresing from 0 to 1 to 2 to 3 (year) it always deacreasing in the value($).
A farm yard contains some pigs and some chickens. Altogether there are 60 heads and 200 legs. How many pigs are there in the yard?
40 pigs.
Step-by-step explanation:p=pigs c=chickens.
4p=pigs have 4 legs.
2c=chickens have 2 legs.
4p+2c=200
p+c=60
Do the elimination method:4p+2c=200
(-4)p+c=60
4p+2c=200
-4p-4c=-240
-2c=-40
c=20
p+20=60
p=60-20
p=40
Hope this helps!
BRAINLIEST would help me a lot:)
What is 100,000+4,000+800+5 in standard form
Answer: 104,805
Step-by-step explanation:
just add
Answer:
104,805
Step-by-step explanation:
add it in each placement form
Can someone pls help and explain it
Answer:
(7,-4) ; 12
Step-by-step explanation:
Basically, three corners of a rectangle are already on the graph. If you put a dot at (7,-4), that is the last corner(vertex) that finishes the rectangle
Then to find base of the rectangle, you find the length of the longer side, (the distance between the x coordinates). So you would subtract -5 from 7 and get 12, and 12 is the length of your base.
D( Geese fly in V formation. The V forms a right angle that has 16 geese on 1 side and 12 geese on the other side. How many gesse would fill in the gap between the ends of each sides of the V formation?
Answer:
20 gesse will fill the gap
Explanation:
We were told that the V forms a right angle which means the angle is at 90 degrees.
From trigonometry, for a right angle triangle we have the opposite, hypotenose and adjacent, then here the 12 side is the opposite and 16 sides is the adjacent, then the hypotenose will be the gap we are looking for using below expression
a²+ b²= c²
So,
12²+ 16²= c²
144 + 256 = c²
c=√(144 + 256)
c = √400
c=20
Therefore, 20 gesse will fly in the missing gap of the V formation.
CHECK THE ATTACHMENT FOR THE TRIANGLE
BEST OF LUCK
If you vertically compress the linear perent function, F(x) = x, by multiplying by 1\2
what is the equation of the new function?
Answer: [tex]y=\dfrac12 x[/tex] .
Step-by-step explanation:
We know that [tex]a f (x)[/tex] compresses f(x) vertically such that
if 0 < a < 1 (a fraction), the graph is compressed vertically by a factor of a units.if a > 1, the graph is stretched vertically by a factor of a units.If we vertically compress the linear parent function, F(x) = x, by multiplying by [tex]\dfrac12[/tex].
Then, the equation of the new function is [tex]y=\dfrac12 F(x)=\dfrac12 x[/tex] .
i.e. [tex]y=\dfrac12 x[/tex] .
You check 20 batteries.Fourteen of the batteries do not have a charge. What is the experimental probability that the next battery you check does not have a charge?
Answer:
[tex]\dfrac{7}{10}[/tex]
Step-by-step explanation:
Given that
Number of batteries that do not have a charge = 14
Total number of batteries = 20
To find:
Experimental probability that the next battery checked does not have a charge = ?
Solution:
First of all, let us learn about the definition of experimental probability.
Probability is the chances of happening of an event.
Formula for probability of happening of an event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here we have to find the probability of checking a battery that has no charge.
So, number of favorable cases = Number of batteries that do not have a charge = 14
AND
Total Number of cases = Total number of batteries to be checked = 20
So, the required probability is:
[tex]\dfrac{14}{20} = \bold{\dfrac{7}{10}}[/tex]
The graph below represents which of the following functions?
Answer:
Option (B).
Step-by-step explanation:
From the figure attached,
There are two pieces of the function defined by the graph.
1). Curve with the domain (-∞, 2)
2). Straight line with domain (2, ∞)
1). Function that defines the curve for x < 2,
f(x) = |4 - x²|
2). Linear function which defines the graph for x ≥ 2 [Points (2, 2), (4, 4), (6, 6) lying on the graph]
f(x) = x
Therefore, Option (B) will be the answer.
11,9,7,5,3,1,
B) Common Difference:
Recursive Function:
D) Explicit
Function:
Answer:
The terms 11, 9, 7, 5, 3, 1 have a common difference of -2 therefore, the correct option defining the relationship between the terms is
B) Common difference
Step-by-step explanation:
The common difference between a series of numbers is found by subtracting a number from the next number following and a common difference exists when the difference between successive adjacent number pairs is the same
A sequence that has a common difference is an arithmetic sequence or arithmetic projection.
The given sequence, 11, 9, 7, 5, 3, 1, is an arithmetic sequence.
please help!!! which of these illustrates the associative property of multiplication?
Answer:
B
Step-by-step explanation:
The association property of multiplication states that if we have three numbers such as:
[tex]a\cdot b\cdot c[/tex]
Then the order of parentheses will not matter. In other words:
[tex](a\cdot b)\cdot c=a\cdot (b\cdot c)[/tex]
For instance:
[tex](3\cdot4)\cdot5=3\cdot(4\cdot5)[/tex]
For the choices, it must have at least three terms. Thus, eliminate A.
It must also have parentheses. Eliminate D.
Choice C represents the distributive property, where you distribute a factor into the expression.
Thus, the correct answer is choice B.
And as previously mentioned, the order of the parentheses does not make the product any different.
[tex]6*(9*1)=6*(9)=54\\(6*9)*1=(54)*1=54[/tex]
Answer:
The correct answer choice is B.
Step-by-step explanation:
The digits should still be in order, so A is incorrect. 6 * 91 does not even equal 69 * 1!
B shows that be can multiply 6 * 9 * 1 in any order. This means we can place a pair of parentheses around any of these numbers and the answer will still be the same.
C is incorrect. We want an equation that helps give us a better understanding of MULTIPLICATION, not ADDITION. The equation is also false.
Finally, D illustrates the commutative property of multiplication- you can multiply your numbers in any order and it will still have the same value. Put simply, it's incorrect.
Let me know if you need more elaboration!
A line passes through the point (4,8) and has a slope of -3/2
Write an equation in Ax+By=C
Answer:
The answer is
3x + 2y = 28Step-by-step explanation:
To find an equation of the line using a point and the slope we use the formula
y - y1 = m(x - x1)
where
m is the slope
(x1 , y1) is the point
From the question
slope = -3/2
Point = (4,8)
So the equation of the line is
[tex]y - 8 = - \frac{3}{2} (x - 4)[/tex]
Multiply through by 2
2y - 16 = -3( x - 4)
2y - 16 = - 3x + 12
3x + 2y = 16 + 12
We have the final answer as
3x + 2y = 28Hope this helps you
need help with my hw make H the subject of the formula x = 5h + 8
Answer:
h = (x - 8)/5
Step-by-step explanation:
Step 1: Write out expression
x = 5h + 8
Step 2: Isolate variable h (Subtract 8 on both sides)
x - 8 = 5h
Step 3: Isolate h (Divide both sides by 5)
(x - 8)/5 = h
Step 4: Rewrite
h = (x - 8)/5
In the Rhombus, m<3=80. Find m<2
160
80
50
40
==============================================
Explanation:
The diagonal cuts the rhombus into two congruent isosceles triangles. We know they are isosceles because the non-diagonal sides are equal in length (since all four sides of a rhombus are the same length).
Let x be the measure of angle 1. This is one base angle. The other base angle is also x as well. The third angle of the bottom triangle is angle 3, which is given to us at 80 degrees. For any triangle the three angles always add to 180.
x+x+80 = 180
2x+80 = 180
2x = 180-80
2x = 100
x = 100/2
x = 50
Angle 1 is therefore 50 degrees.
Angle 2 is also 50 degrees because angles 1 and 2 are congruent alternate interior angles. Any rhombus is a parallelogram (but not the other way around) so the top and bottom lines of the rhombus are parallel, allowing the alternate interior angles to be congruent.
Answer:
m<2 = m<1 = 50°
Step-by-step explanation:
In a Rhombus, Diagonals intersect at 90° as well bisect angles.
Therefore, in a triangle formed by <1, 90° at the diagonal intersection and angle bisection of <3 = 40°.
m<1 = m<2 = 50°
Lilianna uses \dfrac{3}{4} 4 3 start fraction, 3, divided by, 4, end fraction calories per minute just by sitting. She uses 111 more calorie per minute by walking. Lilianna uses a total of 12\dfrac{1}{4}12 4 1 12, start fraction, 1, divided by, 4, end fraction calories walking to the park. Lilianna uses the equation, d\left(\dfrac{3}{4}+1\right)=12\dfrac{1}{4}d( 4 3 +1)=12 4 1 d, left parenthesis, start fraction, 3, divided by, 4, end fraction, plus, 1, right parenthesis, equals, 12, start fraction, 1, divided by, 4, end fraction to represent the situation. What does the variable ddd represent in the equation? Choose 1 answer: Choose 1 answer: (Choice A) A Calories per minute Lilianna uses walking (Choice B) B Number of calories Lilianna would have used sitting (Choice C) C Number of minutes Lilianna walked
The Variable d in the equation represents the time per minute Lilianna spends walking to the park
VariableCalories used by sitting = 3/4Calories used by walking = 1Total calories used walking to the park = 12 1/4The equation:
d(3/4 + 1) = 12 1/4
d(3+4/4) = 12 1/4
d(7/4) = 49/4
d = 49/4 ÷ 7/4
= 49/4 × 4/7
= 49/7
d = 7
Complete question:
Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. What does the variable d represent in the equation?
Learn more about variable:
https://brainly.com/question/11885867
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Verify the identity. cos quanity x plus pi divided by two = -sin x
Answer:
see below
Step-by-step explanation:
cos ( x+pi/2) = -sinx
We know that
cos(A + B) = cos A cos B - sin A sin B
Let x = A and pi/2 = B
cos x cos pi/2 - sin x sin pi/2 = -sin x
We know cos pi/2 = 0 and sin pi/2 = 1
cos x * 0 - sin x *1 = -sin x
- sin x = - sin x
0.58333333333 as a whole number
7/12
Step-by-step explanation:
let x=0.583333..
multiply by powers of 10 to get repeated 3's only on the rights for two different multiples of x
1000x= 583.33
100x=58.33
50x= 525/900
=25x21/25x36
=21/36
=7/12
What is a21 of the arithmetic sequence for which a7=−19 and a10=−28? A. -35 B. 35 C. -58 D. -61
Answer:
a21 = -61
Step-by-step explanation:
[tex]a_{n}=a_{1}+(n-1)d[/tex]
[tex]-19=a_{1}+(7-1)d[/tex]
[tex]-28=a_{1}+(10-1)d[/tex] (subtract to eliminate a₁)
9 = -3d
d = -3
-19 = a₁ + (6)(-3)
-1 = a
a21 = -1 + (21 - 1)(-3)
= -61
Answer:
-61 (Answer D)
Step-by-step explanation:
The general formula for an arithmetic sequence with common difference d and first term a(1) is
a(n) = a(1) + d(n - 1)
Therefore, a(7) = -19 = a(1) + d(7 - 1), or a(7) = a(1) + d(6) = -19
and a(10) = a(1) + d(10 - 1) = -28, or a(1) + d(10 - 1) = -28
Solving the first equation a(1) + d(6) = -19 for a(1) yields a(1) = -19 - 6d. We substitute this result for a(1) in the second equation:
-19 - 6d + 9d = -28. Grouping like terms together, we get:
3d = -9, and so d = -3.
Going back to an earlier result: a(1) = -19 - 6d.
Here, a(1) = -19 - 6(-3), or a(1) = -1.
Then the formula specifically for this case is a(n) = -1 - 3(n - 1)
and so a(21) = -1 - 3(20) = -61 (Answer D)
If you invest $600 at 5% interest compounded cptinuously, how much would you make after 6 years?
Answer:
180
Step-by-step explanation:
1) 600 % 100 = 6 (to get 1% of 600)
2) 6 x 5 = 30 (to get 5% pf 600)
3) 30 x 6 =180 (to get the amount of profit per the 6 years)
please give brainliest if this helps
Add this matrix to find the answer.
Answer:
[tex]\huge\boxed{Option \ 2:\left[\begin{array}{ccc}6&1\\1&5\end{array}\right]}[/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}1&0\\-1&3\end{array}\right] +\left[\begin{array}{ccc}5&1\\2&2\end{array}\right][/tex]
Adding both the corresponding elements
[tex]\left[\begin{array}{ccc}1+5&0+1\\-1+2&3+2\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}6&1\\1&5\end{array}\right][/tex]
In the second raffle, winning tickets are prime numbers. Click on the winning tickets. 11 71 66 18 22 15 19 49 60 9 75 1 45 88 67 72 30 16 99 43
Answer:
11, 71, 19, 67, 43.
Step-by-step explanation:
Ahmad has some files.
زرا
He gave
of the files and had 14 files left.
5
How many files did he have at first?
Step-by-step explanation:
why did u add the 5 in the question?.
Quadrilateral ABCD has coordinates A (3, 1), B (4, 4), C (7, 5), D (6, 2). Quadrilateral ABCD is a (4 points)
Answer:
Quadrilateral ABCD is a SQUARE
Step-by-step explanation:
When we are given coordinates (x1, x2) and (y1 , y2) for a Quadrilateral, we solve for the sides using this formula.
√(x2 - x1)² + (y2 - y1)²
A (3, 1), B (4, 4), C (7, 5), D (6, 2)
Side AB = A (3, 1), B (4, 4)
√(x2 - x1)² + (y2 - y1)²
= √(4 - 3)² + (4 - 1)²
= √1² + 3²
= √1 + 9
= √10
Side BC = B (4, 4), C (7, 5)
√(x2 - x1)² + (y2 - y1)²
= √(7 - 4)² + (5 - 4)²
= √3² + 1²
= √9 + 1
= √10
Side CD = C (7, 5), D (6, 2)
√(x2 - x1)² + (y2 - y1)²
= √(6 - 7)² + (2 - 5)²
= √(-1) ² + (-3)²
= √1 + 9
= √10
Side AD = A (3, 1), D (6, 2)
√(x2 - x1)² + (y2 - y1)²
= √(6 - 3)² + (2 - 1)²
= √3² + 1²
= √9 + 1
= √10
From the above calculation,
Side AB = √10
Side BC = √10
Side CD = √10
Side AD = √10
Hence, AB = BC = CD = AD
When all the side of a Quadrilateral are the same or equal to each other, it means the Quadrilateral is a square.
Therefore, Quadrilateral ABCD is a SQUARE