The blue dot is at what value on the number line?
I'm really desperate, please help me. I'll give the person who has the correct answer brainliest.

Answer:

Step-by-step explanation:

GIVEN:    dx / dt=5 in./min.  and  dy/ dt=−6 in./min.

FIND:    dz/ dt when x=12 in. and y=9 in.

Use the Pythagorean Theorem to get the equation

x2+y2=z2

Now differentiate this equation with repect to time t getting

D{x2+y2}=D{z2}   ⟶

2xdxdt+2ydydt=2zdzdt   ⟶  

(Multiply both sides of the equation by 1/2.)

x dx/ dt+y dy/ dt= z dz/ dt              (DE)

Now let x=12 and y=9 and solve for z using the Pythagorean Theorem.

tex2html_wrap_inline125

122+92=z2   ⟶   z2=225   ⟶   z=15

Plug in all given rates and values to the equation (DE) getting

(12)(5)+(9)(−6)=(15)dz/ dt   ⟶

6=15dzdt   ⟶

dz/ dt=615=25 in/min.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

HL

Step-by-step explanation:

The two larger triangles shown in the diagram above each has a corresponding leg that is congruent to each other (BC = BC).

Also, we are given that the hypotenuse AC of one is congruent to the hypotenuse DB of the other.

This satisfy the Hypotenuse-Leg Congruence Theorem. Thus, the two larger triangles are congruent based on the HL Congruence Criterion which says two triangles are congruent if the leg and hypotenuse of one is congruent to the corresponding leg and hypotenuse of the other.

Answer:

a) 12/24 * 11/24*10/24

b) 1 - 12/24 * 11/24*10/24

c) 12/24 * 11/24 *12/24

Step-by-step explanation:

Total number of bottles = 12 + 5+7 = 24

a. The probability that all (exactly three) bottles are strawberry flavored is: 212

12/24 * 11/24*10/24

b. The probability that at least one of the three bottles are strawberry flavored is:  

1 - P (no strawberry bottle)

1 -  (12/24*11/24*10/24)

c. The probability that exactly 2

12/24 * 11/24 *12/24

Answer:

The answer is "16, 43, and 96".

Step-by-step explanation:

Given:

[tex]\sigma = 0.20\\\\c = 95\% = 0.95\\\\\therefore \alpha = 1- c = 1- 0.95 = 0.05\\\\\therefore \frac{\alpha}{2} = 0.025\\\\[/tex]

Using Z table:

[tex]\therefore Z_{\frac{\alpha}{2}} = 1.96\\\\[/tex]

For point a:

[tex]E = 0.10\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2[/tex]

    [tex]= (\frac{(1.96\times 0.20)}{0.10})^2\\\\= 15.3664 \approx 16[/tex]

so, The Sample size (n) = 16

For point b:

[tex]E = 0.06\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2[/tex]

   [tex]= (\frac{(1.96\times 0.20)}{0.06})^2\\\\= 42.6844444444\approx 43[/tex]

For point c:

[tex]E = 0.04\\\\n=(\frac{Z_{\frac{\alpha}{2} \times \sigma}}{E})^2[/tex]

    [tex]= (\frac{(1.96\times 0.20)}{0.04})^2\\\\= 96.04\approx 96[/tex]

Answer:

m = 0.25

Step-by-step explanation:

1.2m − 0.8 = −2.0m

Both side +2.0m

1.2m+2.0m-0.8=-2.0m+2.0m

Both side +0.8

3.2m=0.8

Both side divided by 3.2m

[tex]\frac{3.2}{3.2}[/tex]m=[tex]\frac{0.8}{3.2}[/tex]

1×m=[tex]\frac{0.8}{3.2}[/tex]

m = 0.25

The answer is 0.25

Answer:

75

Step-by-step explanation:

Answer:

Area of Figure = 75 sq. units

Step-by-step explanation:

Top Half-Portion: 30 sq. units

Dimensions: 6x5

6 x 5 = 30

Botton Half-Portion: 45 sq. units

Dimensions: 9x5

9 x 5= 45

45 + 30 = 75

Answer:

tdxutdxfhdxfhx hd tudbtd tudbytd

Step-by-step explanation:

fc fcgbtufnyufnutfiygniygmyufniygnyigfntudb rsdut rd utddutestur dutrd uttu uhgugfutfuy8. f utfuy. dutugvu v gigv. uvv gihg ihg igg gv ugv vug ugf ugv ugv v igiugigougojgohgiohgk h. i gigiy gygiygiytiy

Answer:

62 degrees since there are supplementary angles

Step-by-step explanation:

∠PQO= 180 degrees - 118 degrees

∠PQO= 62 degrees is the answer.

∠PQO= 180°-∠RQO -------(Supplementary Angles)

∠PQO= 180° - 118°

∠PQO= 62° answer.

Answer:

70

Step-by-step explanation:

y^3 +6

Let y=4

4^3 +6

64+6

70

Answer:

length of one side = 18.75cm

Step-by-step explanation:

Perimeter of a square = 4 x side

                             75 = 4 x side

[tex]side = \frac{75}{4} = 18.75cm[/tex]                            

Answer:

3. x=50, y=80, 4. x=6.5, y=5

Step-by-step explanation:

I think, not entirely sure.

Answer:

D

Step-by-step explanation:

Equilateral acute because all sides are equal

Answer:

(x + 4)² + (y - 7)² = 20²

Step-by-step explanation:

Graphing form

(x - h)² + (y - k)² = r²

(h, k) is the center = (-4, 7)

r is the radius = 20

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

Plug in the givens

(x + 4)² + (y - 7)² = 20²

Answer:

[tex] \frac{s}{s + 3} [/tex]

Answer:

S/S+3

Step-by-step explanation:

Hope this helps...

Answers:

=====================================================

The given info is:

From that, we can use the pythagorean trig identity to find that cos(theta) = -5/13. Keep in mind that cosine is negative in quadrant II.

Now use the trig identity below to compute cos(2theta)

[tex]\cos(2\theta) = \cos^2(\theta)-\sin^2(\theta)\\\\\cos(2\theta) = \left(\frac{-5}{13}\right)^2-\left(\frac{12}{13}\right)^2\\\\\cos(2\theta) = \frac{25}{169}-\frac{144}{169}\\\\\cos(2\theta) = \frac{25-144}{169}\\\\\cos(2\theta) = -\frac{119}{169}\\\\[/tex]

Other options you could use are these identities

[tex]\cos(2\theta) = 2\cos^2(\theta)-1\\\\[/tex]

or

[tex]\cos(2\theta) = 1-2\sin^2(\theta)\\\\[/tex]

Answer:

10 and 64 and is a then not answer

Answer:

Step-by-step explanation:

    2  64,   94

         32,   47

LCM=2*32*47=3008

while doing LCM u should take all the numbers (common numbers and remaining numbers)

But in HCF only common numbers are take for eg .here,HCf is 2because 2 is the only number that divides both the number.

Answer:

134.04

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+62=90 degree (being perpendicular)

x=90-62

x=28 degree

x+25=90 (being perpendicular)

x=90-25

x=65 degree

Answer:

1)X+62 =90

x+62-62=90-62

x =28

2) X+25+90+180 =360

x +295=360

x =360-295

x =65

Answer:

$3.72

hope this helps

have a good day :)

Step-by-step explanation:

Because 1 orange cost 0.93 so you multiply it by 4 to get 3.72

Answer:

$3.72

Step-by-step explanation:

ok so we need to divide 2.79÷3 so we can know how much each orange coast.

2.79÷3 = 0.93

now add 0.93 to 2.79

2.79+0.93 = 3.72

Answer:

12.56

Step-by-step explanation:

A = 3.14*2^2 = 12.56

Answer:

9 yards

Step-by-step explanation:

3 yards make 2 skirts

2x3=6

3x3=9

9 yards make 6 skirts

Answer:

p = 4x

Step-by-step explanation:

The perimeter p of a square is 4 times the length of a side x

p = 4x

Answer:

c. Assuming that the mean weights of wolves in the populations are different, the probability of obtaining a test statistic that is greater than 2.771 or less than −2.771 is 0.01.

Step-by-step explanation:

Test if the sample means were different:

This means that we have a two-tailed test.

t=2.771 and a p-value of 0.01.

0.01 is the p-value of t = 2.771 multiplied by 2, as we have a two-tailed test(counting both more than 2.771 and less than -2.771). This represents the probabiility of obtaining a test statistic that is greater than 2.771 or less than −2.771 is 0.01, and the correct answer is given by option c.

Answer:

5164

Step-by-step explanation:

Answer: 576

Step-by-step explanation:

4x4x4x4 = 256

10+ 256 +22

288 divided by 4/8

576

Answer: 8x -3x = 16+4

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Expected number = probability x 96 (the number of rolls)

Outcome    Probability    Expected Value

1                   1/3                  (1/3)(96) = 32

2                  1/12                 8

3                  1/12                 8

4                  1/12                  8

5                  1/12                  8

6                  1/3                    32