Please solve this question.​

Answer:

dx/dt  = - 18,79 mph

Step-by-step explanation:

The two cars with the intersection point and the straight-line distance between the cars make up a right triangle. In that right triangle, the legs are the distance between each car and the intersection point, and the distance between cars is the hypothenuse

If we call  x  and  y  distances between blue car and red car respectively  and L the hypothenuse by Pythagoras theorem we have:

L²  =  x²  + y²      (1)

Tacking derivatives on both sides of the equation

2*L*dL/dt  = 2*x*dx/dt + 2*y*dy/dt

And from equation (1)

L²  = (0,5)² + (0,5)²    ⇒  L = √(0,5)²  + (0,5)²   ⇒ L = 0,5*√2

By subtitution in equation (2)

2*(0,5*√2)*15 = 2*0,5*dx/dt + 2*0,5*40

(15*√2 - 40 ) / 1  = dx/dt  [mph]

dx/dt  = - 18,79 mph

Note the( - ) sign is equivalent to say that the car is driving away from the intersection point

Answer:

P = 36 units

Step-by-step explanation:

perimeter of the given diagram:  (see attached)

P = 8 + 8 + 10 + 10

P = 36 units

Answer:

Top graph

Step-by-step explanation:

It starts at x and continues right, so x > -3 in that graph

Answer:

Step-by-step explanation:

-6n + 2.9 = 11

subtract 2.9 from both sides

-6n = 8.1

divide both sides by -6

n = -1.35

2/3n - 3 = 8

add 3 to both sides

2/3n = 11

multiply both sides by 3

2n = 33

divide both sides by 2

n = 16.5

hope this helps <3

Answer:

left side:

-6n = 11 - 2.9

-6n = 8.1

n = - 8.1/6

n = - 1.35

right side:

2/3 n = 8 + 3

2/3 n = 11

n = 33/2

n = 16.5

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Ed 2020

Answer:

144

Step-by-step explanation:

Answer:

90 180 270

Step-by-step explanation:

Answer:

BC = 18.385

Step-by-step explanation:

You can look at ABC as a right triangle and use the Pythagorean theorem to solve for BC. 26 squared is 676, 676 divided by 2 is 338, and finally the square root of 338 is 18.385. This is the length of BC and AB as well. Hope that helped

Answer: aprox 18.38

Step-by-step explanation:

you have a AC=, which is the hypothenuse of the right triangle, and isosceles

ABC

AB=BC, sides of  a square

remember c^2=a^2+b^2 but and b are equal so we can say

c^2= 2a^2

c=a[tex]\sqrt{2}[/tex],  26/[tex]\sqrt{2}[/tex]=a

a=(26[tex]\sqrt{2}[/tex])2=18.38

Answer:

The first piece is 19 inches, the second is 52, and the third piece is 57.

Step-by-step explanation:

Solve for x using (x) + (x + 33) + (3x) = 128.

Answer:

x=3, y=13. (3, 13).

Step-by-step explanation:

7x-8=5x-2

7x-5x-8=-2

2x-8=-2

2x=-2+8

2x=6

x=6/2=3

y=5(3)-2=15-2=13

Answer:

given y=7x-8 i

y=5x-2 ii

Step-by-step explanation:

equating equation i and ii which is i=ii

7x-8=5x-2

7x-5x= -2+8

2x=6

x=6÷2

x=3

now

putting the value of xbin equation i

y=7x-8

y=7×3-8

y=21-8

y=13

hence the value of x and y is 3 and 13 respectively

y=3x - 5....(i)

6x+3y=15.....(ii)

Then,

Keeping value of y in (ii)equation;

or,6x+3(3x-5)=15

or,6x+9x-15=15

or,15x=15+15

or,x=30/15

:x=2

Now, Keeping value of x in (i) equation;

y= 3x-5

or, y= 3×2 - 5

or,y= 6-5

: y=1

Answer: The answer is 1,5

Step-by-step its talking about x

Answer:

c

Step-by-step explanation:

bc edge22

Answer:

the largest number of people she can sit at a table is 18.

Step-by-step explanation:

there would be 13 tables

The required possible tables is 13 and the largest number of people she can sit at a table is 18.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

A wedding planner she did the 234 guests at a reception so that each table have the same number of guest if each table could see no more than 20 people.

According to given question we have

Total number of guest=234

i.e  234/13=18 people

The largest number of people she can sit at a table is 18.

The possible tables can arrange to sit the guest is 13.

Therefore, the required possible tables is 13 and the largest number of people she can sit at a table is 18.

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Answer:

Step-by-step explanation:

Null hypothesis:

[tex]H_o : \mu = 0.50[/tex]

Alternative hypothesis:

[tex]H_a : \mu > 0.50[/tex]

The sample proportion [tex]\hat p = \dfrac{x}{n}[/tex]

[tex]\hat p = \dfrac{46}{58}[/tex]

[tex]\hat p = 0.7931[/tex]

The test statistics:

[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n} } }[/tex]

[tex]Z = \dfrac{0.7931 - 0.50}{\sqrt{\dfrac{0.5(1-0.5)}{58} } }[/tex]

[tex]Z = \dfrac{0.2931}{\sqrt{\dfrac{0.25}{58} } }[/tex]

[tex]Z = \dfrac{0.2931}{0.06565321643}[/tex]

Z = 4.46      (to two decimal places)

At 99% C.I

Level of significance is:

∝ = 1 - C.I

∝ = 1 - 0.99

∝ = 0.01

Thus, the lower confidence bound can be computed as:

[tex]= \hat p - Z_{\alpha} \sqrt{\dfrac{\hat p ( 1- \hat p )}{n} }[/tex]

Critical value of [tex]Z_{0.01/2} = 2.33[/tex]

[tex]= 0.7931 - 2.33 \sqrt{\dfrac{0.7931 (1-0.7931)}{58}}[/tex]

[tex]= 0.7931 - 2.33 (0.05319)[/tex]

= 0.7931 - 0.1239327

= 0.6691673

[tex]\simeq[/tex] 0.7    (to one decimal place)

(c)

Given:

[tex]P_o = 0.50[/tex]  and [tex]\hat p = 0.80[/tex]

Then:

[tex]\beta (0.8) = \phi \Big [ \dfrac{p_o-\hat p + Z_{\alpha} \sqrt{\dfrac{p_o(1-p_o)}{n}}}{\sqrt{\dfrac{\hat p(1-\hat p)}{n} } } \Big][/tex]

[tex]\beta (0.8) = \phi \Big [ \dfrac{0.5-0.8 + 2.33 \sqrt{\dfrac{0.5(1-0.5)}{58}}}{\sqrt{\dfrac{0.8(1-0.8)}{58} }}\Big][/tex]

[tex]= \phi \Big [ \dfrac{-0.3+ 2.33 (0.06565)}{\sqrt{0.0027586 }} \Big][/tex]

[tex]= \phi \Big [ \dfrac{-0.3+ 0.1529645}{0.052522} \Big][/tex]

[tex]= \phi \Big [ \dfrac{-0.1470355}{0.052522 } \Big][/tex]

[tex]= \phi \Big [-2.799\Big][/tex]

= 0.0026    ( to four decimal place).

Answer:

Kennedy will earn 21.7 dollars per hour.

Answer:

x = 12.7 or x ≈ 12

Step-by-step explanation:

1.75 + 0.65x = 10

0.65x = 10 - 1.75

0.65x = 8.25

x = 8.25 / 0.65

x = 12.7

x ≈ 12

note: we round it up to 12 and not 13, because Erica does not have enough money for 13 miles

Answer:

D

Step-by-step explanation:

The equations could be used to predict the value is

V(t) = 1000 (1+ 5/100[tex])^t[/tex]

A financial concept known as future value (FV) assigns a value to an asset based on anticipated factors like future interest rates or cashflows. Knowing how much their investment would be in five years, given a projected rate of return, may be valuable for an investor.

We have,

P= $1000

R= 5%

T= time in years

We know that amount

A(t) = P(1 + R/100[tex])^t[/tex]

So, V(t) = 1000 (1+ 5/100[tex])^t[/tex]

Thus, the required function is  V(t) = 1000 (1+ 0.05[tex])^t[/tex]

Learn more about Future Value here:

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Answer:

exponential decay

Step-by-step explanation:

anything less than 1 in the parenthesis is decay

Answer:

-1

Step-by-step explanation:

not sure if the equation is 3-4m or 3-4 but it's -1 if the equation is 3-4

Answer:

7 nickels

1 pennie

Step-by-step explanation:

Answer:

Connor has 7 nickles and 1 penny.

Step-by-step explanation:

7 * 5 = 35

5 is the value of a nickel.

1 * 1 = 1

35 + 1 = 36

Therefore, Connor has 7 nickels and 1 penny.

Answer:

S=H+2

Step-by-step explanation:

OK, so hailey is the variable H. And she is 2 years younger than her sister.

What is the age of her sister?

So we know it has to be, hailey's age + something? = age of her sister.

what is that +something? it's the number "2 years younger" so hailey's age; which is h, plus 2 is equal to her sister's age.

H+2=S

OK, why do we need to add 2? instead of minus two? Because hailey is 2 years younger than her sister, so you want hailey's age. If you were to minus 2, you'd be thinking that hailey is OLDER than her sister. Because if you want to her sister's age, you would have to SUBTRACT 2 because you are OLDER than her. So if you are younger than the sister, you would add to get your sister's age.

Answer:

S=H+2

Step-by-step explanation:

I got it right and that all that matters.

Answer:

Step-by-step explanation:

Given

Required inequality:

Solving for d:

Up to 5 days is the answer

Answer:

x = 27

Step-by-step explanation:

m<X + m<XWY + m<XYW = 180    (measures of <s of triangle add to 180)

m<X = 90

90 + m<XWY + m<XYW = 180

m<XWY + m<XYW = 90     Equation 1

m<XWY + m<VWY = 180      (linear pair)     Eq. 2

m<XYW + m<ZYW = 180      (linear pair)     Eq. 3

Add Eqs 2 & 3

m<XWY + m<VWY + m<XYW + m<ZYW = 360

m<XWY + m<VWY + m<XYW + m<ZYW = 360

According to Eq. 1, m<XWY + m<XYW = 90.

90 + m<XYW + m<ZYW = 360

Also, m<VWY = 6x & m<ZYW = 4x

90 + 6x + 4x = 360

10x = 270

x = 27

Answer:

It would be $ for 2 other planes of glass because if you take 7 divided by 7 to get 1 pane of glass you have to divide 16.45 by 7 to get how much it costs for 1 pane of glass. So for 1 pane of glass, it is $2.35 then lastly you can either add 2.35 and 2.35 to get $4.70 or take 2.35 times 2 to get your total. So it will cost $4.70 to get 2 panes of glass.

Step-by-step explanation:

The Question above is incomplete.

Complete Question

Marisa painted one-half of her bedroom in three-fourths of an hour. At this rate, how long would it take her to paint the entire room? three-eighths of an hour eight-thirds of an hour four-sixths of an hour six-fourths of an hour

Answer:

six-fourths of an hour

Step-by-step explanation:

Let her entire room be equal to 1

From the above question

1/2 of her bedroom = 3/4 of an hour

1(Entire bedroom) = x hour

Cross Multiply

1/2 × x = 3/4 × 1

x = 3/4 / 1/2

x = 3/4 ÷ 1/2

x = 3/4 × 2/1

x = 6/4 hour

Hence, it would take Marissa six-fourths(6/4) of an hour to clean her entire room.

Answer:

75%

Step-by-step explanation:

24/32 = .75 move decimal twice to the right to change to %

= 75%

Answer:

x=-9

y=-3

Step-by-step explanation:

Answer:

x=-3/7, y=99/7. (-3/7, 99/7).

Step-by-step explanation:

-2x+y=15

3x+2y=-33

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

-2(-2x+y)=-2(15)

3x+2y=-33

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

4x-2y=-30

3x+2y=-33

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

7x=-3

x=-3/7

-2(-3/7)+y=15

6/7+y=15

y=15-6/7=105/7-6/7=99/7