Please help me with number 1 and 2 please

Answer:

5.46 pounds

Step-by-step explanation:

0.78 x 7 = 5.46

a) The initial number of infections refers to the time t = 0, not 1. At the start, there are

[tex]P(0) = \dfrac{700}{1 + 49e^{-0}} = \dfrac{700}2 = \boxed{350}[/tex]

infected students.

b) Here you look for the time t such that P(t) = 600. We have

[tex]\dfrac{700}{1+49e^{-0.3t}} = 600[/tex]

[tex]\dfrac{700}{600} = 1+49e^{-0.3t}[/tex]

[tex]\dfrac76 = 1+49e^{-0.3t}[/tex]

[tex]\dfrac16 = 49e^{-0.3t}[/tex]

[tex]\dfrac1{294} = e^{-0.3t}[/tex]

[tex]\ln\left(\dfrac1{294}\right) = \ln\left(e^{-0.3t}\right)[/tex]

[tex]-\ln(294) = -0.3t \ln(e)[/tex]

[tex]\ln(294) = \dfrac3{10}t[/tex]

[tex]t = \dfrac{10}3 \ln(294) \approx 18.945[/tex]

Rounding up, the school will close after around 19 days.

Distribute

-6(8p+3)

-48p-18

Solution

-48p-18

Statement:-

The sum of all the interior angles of a triangle is 180°. This is known ad the angle sum property of a triangle.

Proof :-

Consider a

Answer:

Because its an internationally accepted method.

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

4 + 12.5 > 11x - 3.5 - 2x

16.5 = 5.5x

16.5/5.5 = x

Answer:

$15,000

Step-by-step explanation:

Let P represent Aiden's current pay.

If they receive a pay rise of 15%, that means they receive their original pay plus 15% of that original pay.

P + 0.15P = 17250

1.15P = 17250

P = 17250/1.15 = 15000

His salary before the increase was $15,000.

Answer:

$14662.5

Step-by-step explanation:

Aiden receives a pay rise of 15%

increases their pay to $17,250

15% of $17,250 is $2587.5 therefore $17,250 - $2587.5 is his salary before the increase which is 14662.5 so aiden had $14662.5 before his salary increase

Answer:

[tex] - \frac{1}{2} ( {b}^{6} - 7 {b}^{2} - 3)[/tex]

Answer:

(2x+1+x^2+2x-1)*2=2x^2+8x

Step-by-step explanation:

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

- 36 + (-74)

- 36 - 74

- 110

<3

Answer:

1800.

Step-by-step explanation:

If N is the first letter the next 2 letters will be the number of permutations of 2 from 25 =  25!/ (25-2)!

= 600.

If the first number is M or P the number is the same so that makes 1800 possibilities.

∆HFE is similar to ∆HFG and ∆ HEG (they all are right triangles and have the same, shape.)

The given triangle ΔHFE is similar to triangle GFH and triangle GHE.

Similar triangles are two triangles that have the same shape but may differ in size. They have corresponding angles that are congruent and corresponding sides that are proportional.

Here,

Since triangle HFE is similar to triangle GFH,
∠HEF = ∠GHF,
∠FHE = ∠HGF, and ∠HFE = ∠HFG

Similarly

ΔHFE is similar to triangle ΔGHE.

Similar triangles are useful in many areas of mathematics and in the real world, such as in architecture, engineering, and cartography, where they are used to make scale models of buildings and other structures.

Thus, the given triangle ΔHFE is similar to triangle GFH and triangle GHE.

Learn more about similar triangles here:

https://brainly.com/question/12101336
#SPJ2

Answer:

I would guess $21.29, Not completely sure though lol

Step-by-step explanation:

Hope this helps!! lol

Answer:

22

Step-by-step explanation:

if you don't understand it just tell me I'll re-do it. bye.

Step-by-step explanation:

25% of 1.60

25 ÷ 100 × 1.60

= 0.4

Cost of sweets this year : 1.60 + 0.4

= 2

Answer:

174 m^2

Step-by-step explanation:

9 * 5 = 45

9 * 5 = 45

9 * 3 = 27

9 * 3 = 27

5 * 3 = 15

5 * 3 =15

45+45+27+27+15+15 = 174 m^2

Hope this is helpful.

Answer:

174 m²

Step-by-step explanation:

9 * 5 = 45 (that's the bottom and top areas)

9 * 3 = 27 (that's both the bigger sides areas)

5 * 3 = 15 (that's both the smaller sides areas)

Now  you have to double:

45 * 2 = 90

27 * 2 = 54

15 * 2 = 30

Now sum:

90 + 30 + 54 = 174

Answer:

-14.2

Step-by-step explanation:

Answer:

1. 20 km

2. 0.5 hours

3. 40 km

4. 1.5 hours

5. A, 40 km/hr

6. 80 km/hr, 40 km/hr

Step-by-step explanation:

2. The lines of Car A and Car B at 0.5 hours, meaning the cars have been traveling for 0.5 hours before they met.

1. From 0 hours to 0.5 hours, Car A traveled from 20 km to 40 km. The distance traveled before Car A met Car B was 40 km - 20 km = 20 km.

3. Cars A and B travel at the same speed starting at the 0.5 hour, 40 km point. They are traveling at the same speed from 0.5 hours to 1.5 hours since they share the same line and therefore the same slope. From the point at which Cars A and B met, they traveled from 40 km to 80 km. They traveled at the same speed for 80 km - 40 km = 40 km.

4. Both cars reached point C at the same time of 1.5 hours.

5. Car A had constant speed sicne the lines "Car A" and "Cars A and B" had the same slope. The speed is equal to the slope of the line: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-20}{1.5-0} = 40 km/hr[/tex]

6.

First speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{40-0}{0.5-0} = 80 km/hr[/tex]

Second speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-40}{1.5-0.5} = 40 km/hr[/tex]

Answer:

tenth- 49.1

Hundredth- 49.08

thousandsths- 49.076

ten-thousandths- 49.0758

Answer:

8 Hours

Step-by-step explanation:

If she drove 189 miles in 7 hours, that means she was driving 27 miles an hour, we find this number by dividing 189 by 7.

To find how long it would take to travel 216 miles, we divide 216 by 27, which gives us 8. Meaning it would take 8 hours to drive 216 miles assuming she goes at the same rate

Answer:

It would take her 8 hours.

Step-by-step explanation:

1. 189 ÷ 7, to determine miles per hour. This equals 27, which means that she drives 27 miles every 1 hour.

2. 216 ÷ 27, to determine how long it would take to travel 216 miles. This equals 8, which means that it takes her 8 hours to drive 216 miles.

hope this helps!

Answer:

Their both the same answers which is 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\dfrac{x^{m}}{x^{n}}=x^{m-n}\\\\\\a)\dfrac{a^{5}}{a^{3}}=a^{5-3}=a^{2}\\\\\\b)\dfrac{c^{4}}{c^{3}}=c^{4-3}= c^{1} =c[/tex]

Answer:

A) a^2

B) c

Step-by-step explanation: hope this helps

Answer:

1,000ML = 1 L

4,500MG = 4.5G

25CM = 250MM

Answer:

147

Step-by-step explanation:

ADD IT

The interest rate of Jill's account as described is; 0.51%

The amount invested by Jill is $7,972.

According to compound interest;

In which case;

Therefore;

[tex]1 + r = \sqrt[15]{2.117} [/tex]

The interest rate is therefore; 0.51%

Read . more:

https://brainly.com/question/18187284

Answer:

VUX and WXU

Step-by-step explanation:

Hope this helps!

Answer:

The first option.

Step-by-step explanation:

Alternate interior angles are the angles sandwiched together between the parallel lines and are on opposite sides of the line going through the parallel lines.

hope it's correct answer.....and it helps

Answer:

7

Step-by-step explanation:

We take the information in the problem and translate it into a linear equation of the form 3x-8=13. Combining like terms we get 3x=21. next divide both sides by 3 for a final answer of x=7