Roberta is studying the temperatures of the arctic over a period of time. the first day, the temperature was -1.5
degrees celsius. the next day, the temperature was 0.25 of that. what was the temperature roberta recorded on
the second day?
a.0.375°c
b. -0.375°c
c. -1.25°c
d. -1.75°c

Answer:

P(6) = 5

Step-by-step explanation:

The dice is cast 30 times (k = 30)

So if the big numbers apply, then you would expect the outcome to be evenly distributed, meaning

5 x 1

5 x 2

5 x 3

5 x 4

5 x 5

5 x 6

____ +

30 casts in total (evenly distributed over all numbers of the dice)

P(6) = 1/6 * 30

P(6) = 5

Let [tex]x[/tex] be the smallest of the consecutive integers summing to 2020. Then the largest integer in the sum is [tex]x+4039,[/tex] so our answer is [tex]\boxed{4039}.[/tex]

For completeness, though, let's solve for the value of [tex]x[/tex] that satisfies the conditions of the problem. Recall that the sum of an arithmetic series with first term [tex]a_1,[/tex] last term [tex]a_n,[/tex] and [tex]n[/tex] terms, is [tex]\frac{n(a_1+a_n)}{2}.[/tex] Plugging in our known values gives us the equation [tex]\frac{4040(2x+4039)}{2}=2020,[/tex] which simplifies to [tex]2x+4039=1.[/tex] Thus, [tex]x=-2019,[/tex] so the 4040 consecutive integers are [tex]-2019,-2018,\dots,-1,0,1,\dots,2018,2019,2020.[/tex] Notice how everything except the [tex]2020[/tex] cancels out!

Answer:

49

Step-by-step explanation:

Area for a trapezoid is A=(a+b/2)h

A = ((4 + 10)/2)

A = (7)*h

A = 7*7

A = 49

Answer:

96

Step-by-step explanation:

3 x 4= 12

3 x 7=21

21

x 4

___

84

+12

___

96

Answer:

The dot product is -2

The required dot product of (3,-1) and (1,5) is -2.

Evaluate the dot product of (3,-1) and (1,5).

It is a principle to combine two vectors. It tells about how much two vectors approaching in the same direction.

Now converts the coordinates to vector form.
a = 3i -1j
b = 1i + 5j
Dot product of two vectors a and b,
a.b = 3x1 - 1x5
a.b = 3-5
a.b = 2

Thus, the required dot product of (3,-1) and (1,5) is -2.  

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Answer:

1

Step-by-step explanation:

Total number of portions = 10

unshaded portion= 5

number of even numbers =

probability of unshaded portion = 5/10 = 1/2

probability of even number = 5/10 = 1/2

Probability of landing on unshaded or even portion= probability of landing on unshaded portion + probability of landing on even number = 1/2 + 1/2 = 1

Answer: The right angle is at angle C

Step-by-step explanation:

Yes, the angle is a right angle at C (Edge option D)

Answer:    40 45 50 55 60 65 70 75 80 40 45 50 55 60 65 70 75 80 H J G 40 45 50 55 60 65 70

Step-by-step explanation: Keeps repeating

Answer:

Please see attached image of a box plot.

Answer: 4

Step-by-step explanation:

Using pythagoras theorem =>

b=[tex]\sqrt{c^2-a^2[/tex]

b=[tex]\sqrt{5^2-3^2}[/tex]

b=[tex]\sqrt{25-9}[/tex]

b=[tex]\sqrt{16}[/tex]

b=4

Answer:

4

Step-by-step explanation:

Use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

The measure of the hypotenuse is 5. The measure of the given leg is 3.

[tex]3^2+b^2=5^2\\\rightarrow 3^2 = 9; 5^2=25\\9+b^2=25\\9-9+b^2=25-9 \leftarrow \text {Subtraction Property of Equality} \\b^2=16\\\sqrt{b^2}=\sqrt{16} \leftarrow \text {Square Root Property of Equality}\\\boxed {b=4}[/tex]

The unknown side of the triangle should be four units.

Answer:

n = -12

Step-by-step explanation:

plug -12 in for n and its -2 x -12 which equals 24

Answer:

n = -12

Step-by-step explanation:

hope it helps!!

Answer:

your answer is D (6.72)

Step-by-step explanation:

substitute x by 4

y = 2.76(4) - 4.4

y = 11.12 - 4.4

y = 6.72

Therefore the option D (6.72) is the correct answer

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Answer:

b

Step-by-step explanation:

I remember doing this is school, a is wrong, c is wrong. d is wrong

Answer:

Answer:

b

Step-by-step explanation:

I remember doing this is school, a is wrong, c is wrong. d is wrong

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the answer should be D

Answer:

5/32

Step-by-step explanation:

You would change 1/2 to 2/4 so you can subract 1/2 from 3/4 .You do 3/4-2/4 and you get 1/4.Then you would multiply the height and width so you multiply 1/4 and 1 1/4 and 1/2.

Find Volume of water.

V=lwh

V= 1/2 x 1/2 x 5/4

V=5/16.

Find Volume of The whole shape.

V=lwh

V= 1/2 x 5/4 x 3/4

V=15/32.

Subtract : 15/32-5/16=5/32

VOLUME OF MISSING PART = 5/32 meters cubed

Answer:

He can make 4 groups as for the 5th group he left with 4 cookies.

So your answer would be 4 groups and 4 cookies.

hope it helps!

Answer:

The two circles centered at point A are concentric and similar

Step-by-step explanation:

plato

Answer:

52.374 cm*3

Step-by-step explanation:

the upper triangle is equal to the bottom triangle

Btw fyi the formula of calculating the value of a prism is:

area of the base × height

Answer:

A.) 1/8 Inches

Step-by-step explanation:

Answer:

[tex]y=1-e^{c_{2}}}*e^{-x} *e^{x^2}[/tex]

Step-by-step explanation:

We begin with the differential equation [tex]\frac{dy}{dx} =(1-x)(1-y)[/tex]

Firstly, we need to get the [tex]y[/tex] and [tex]dy[/tex] as well as the [tex]x[/tex] and [tex]dx[/tex] on the same sides as each other

To do this, we can multiply each side by [tex]dx[/tex] and divide each side by [tex](1-y)[/tex]

Doing this will give us the following differential

[tex]\frac{1}{1-y} dy=(1-x)dx[/tex]

Now, we can integrate each side

[tex]\int\limits\frac{1}{1-y} \, dy =\int (1-x) \, dx\\\\-ln(1-y)=x-x^2+c_{1}[/tex]

Now, we need to solve for y

[tex]-ln(1-y)=x-x^2+c_{1}\\\\ln(1-y)=x^2-x+c_{2} \\\\1-y=e^{x^2-x+c_{2}} \\\\y=1-e^{x^2-x+c_{2}}\\\\y=1-e^{c_{2}}}*e^{-x} *e^{x^2}[/tex]

Answer:

After 6 seconds, the ball will hit the ground.

Step-by-step explanation:

f(x)=-x^2 + 4x + 12

Since we want to see when it touches the ground, the height must be equal to 0, so f(x) has to equal 0.

0=-x^2 + 4x + 12

If you factor this equation, you'd get:

(-x + 6)(x + 2) = 0

We get the 2 and the 6 from the factors of 12. The two factors of 12 have to be able to add or subtract into 4, and in this case, 6-2 is 4. (If you multiply this equation out, you'd get the same one you started with)

Since we need it to equal 0, the way to multiple to 0 is to have a zero itself. This means that either (-x+6) is equal to 0 or (x+2) is equal to 0. The only x values that satisfy this is 6 and -2. You can't have -2 seconds after, so it has to be 6.

Hope that helps.

Answer:

||u|| = sqrt((0 + 3)^2 + (4 + 2)^2) = 6.71

||v|| = sqrt((3 + 0)^2 + (3 + 2)^2) = 5.83

slope of u = 4/2 = 2

slope of v = 5/3

=> Option D is correct

Hope this helps!

:)

Answer: B. 117 in

Step-by-step explanation:Took the test Trust

Hope this helps -----

The surface area that will be frosted with icing is 205in²

It will be equal to the sum between the top surface, which measures:

S = 13in*9in = 117 in²

And the four lateral sides, two of them measure:

s' = 2in*9in = 18in²

The other two measures:

s'' = 13in*2in = 26in²

Then the total surface area that must be frosted is:

SA = 117 in² + 2*( 18in²) + 2*(26in²) = 205 in²

So we conclude that the correct option is C.

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Answer:

1) 4/5

2) 12/5

3) 2

4) 3/2

5) 24/25

6) 0.6 Repeated.

7) 3/2

8) 9/20

9) 24/5

10) 12/5

Hope this helped! ;)

Answer:

1) 10 1/2

2) 15 2/5

3) 9 1/3

4) 14 5/8

5) 8 4/25

6) 6

7) 14 7/8

8) 10 17/20

9) 20 9/10

10) 9 1/5

Step-by-step explanation:

I'm not sure how to give a step by step explanation for these. You just have to convert them all to improper fractions, multiply them, then convert them back to a mixed number. That's the extent of my knowledge.

Answer:

The area of the original piece is (2)(5/4)

A cut along the diagonal makes to equal pieces.

Answer:

C. [tex]f(x)=1/2x^{4}+x^{3}+x[/tex]

Step-by-step explanation:

I graphed the equation on the graph below and it looks very similar to the graph you gave.

If this answer is correct, please make me Brainliest!

The required function that are in the graph is  F(x)=1/2x^4+x^3+x.

Graph has been given, function to be determine.

Functions is the relationship between sets of values. e g y=f(x).

From the graph, function gives y = 0 twice when x =0 and x= -2.3
The only  function that gives y = 0 for x =0 and x= -2.3 is F(x)=1/2x^4+x^3+x.

Thus, The required function that are in the graph is  F(x)=1/2x^4+x^3+x.

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Answer:

y = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre ad r is the radius

Given

x² + y² - 10y + 18x = 2 ( Rearrange collecting x and y terms together )

x² + 18x + y² - 10y = 2

Using the method of completing the square

add ( half the coefficient of the x/ y term )² to both sides

x² + 2(9)x + 81 + y² + 2(- 5)y +25 = 2 + 81 + 25

(x + 9)² + (y - 5)² = 108 ← in standard form

with centre = (- 9, 5 )

The y- coordinate of the centre is therefore y = 5

Answer:

The Answer is A.

Step-by-step explanation:

Please mark me brainliest.

Answer:

Step-by-step explanation:

1X+17=121X+17=12

1X=12−171X=12−17

1X=72×7−27×21X=72×7−27×2

1X=7−2141X=7−214

1X=5141X=514

Taking inverse on both sides

X=145=2.8 hoursX=145=2.8 hours

The time taken by Sam is 2.8 hours.2.8 hours.

Answer:

C = 48.9

Step-by-step explanation:

C= 5F-160 /9

C= (5F -160)/ 9

Put F =120

C = (5(120) - 160)/9

C= (600 - 160)/9

C = 440/9

C = 48.89≈ 48.9

Answer:

To find y intercept x should be 0.

And in this.

Y=4x.3x

Y=4*0*3*0

Y=0 answer.