[tex]e^{4x-5} -7 = 11, 243[/tex]

Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.

Answer:

372

Step-by-step explanation:

that's my answer hope it's help

Answer:

1000

Step-by-step explanation:

Answer:

There is a 47cm difference between the two....

So you just added 28cm to 19cm to get 47cm....

Because 19-(-28) is 19 + 28.

Hope this helps :D

Step-by-step explanation:

Answer:

7/8 pounds

Step-by-step explanation:

pounds collected in a day = number of pounds collected in 8 days / number of days

7/8

Answer:A

The mean is the average of all numbers, in this example it's to national averages which will have many numbers.

Answer:

16

Step-by-step explanation:

From the question given above, the following data were obtained:

Sum of N term (Sₙ) = 292

2nd term (T₂) = 8.5

5th term (T₅) = 13

Number of terms (N) =?

Next, we shall determine the first term (a) and the common difference (d) of the series. This can be obtained as follow:

T₂ = a + d

8.5 = a + d ........ 1

T₅ = a + 4d

13 = a + 4d ........ 2

Subtract equation 1 from equation 2 i.e

(2) – (1)

.. 13 = a + 4d

– 8.5 = a + d

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

4.5 = 3d

Divide both side by 3

d = 4.5 / 3

d = 1.5

Substitute the value of d into any of the equation to obtain the value of a. Here, we shall use equation 1.

8.5 = a + d

d = 1.5

8.5 = a + 1.5

Collect like terms

8.5 – 1.5 = a

a = 7

Finally, we shall determine the number of terms as follow:

Sum of N term (Sₙ) = 292

Common difference (d) = 1.5

First term (a) = 7

Number of terms (N) =?

Sₙ = n/2[2a + (n – 1)d]

292 × 2 = n[(2 × 7) + (n – 1)1.5]

584 = n[14 + 1.5n – 1.5]

584 = n[12.5 + 1.5n]

584 = 12.5n + 1.5n²

Rearrange

1.5n² + 12.5n – 584 = 0

Using formula method, the value of n can be obtained as follow:

a = 1.5

b = 12.5

c = –584

n = –b ± √(b² – 4ac) / 2a

n = –12.5 ± √(12.5² – 4 × 1.5 × –584) / 2 × 1.5

n = –12.5 ± √(156.25 + 3504) / 3

n = –12.5 ± √(3660.25) / 3

n = –12.5 ± 60.5 / 3

n = –12.5 + 60.5 / 3 or –12.5 – 60.5 / 3

n = 4 /3 or –73 / 3

n = 16 or –73 / 3

Since the number of terms can not be negative, therefore, the number of term is 16

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Now I can not be 100% sure since I can not see the chart, but I can go off of logic. So let´s get started

First we can eliminate answer B. Answer B does not make ANY sense. Why would the number 3 make a difference.

Now answer A and D. These answers are basically the same. So if one is true, the other is as well. For D, if it were the same number, just negative and positive, the sum would be 0.

So this makes A and D true

Answer C is backed up by answer D as well. They can only be the same distance if one is positive and the other is negative

Answer:

everything is in the picture

Answer:

42

Step-by-step explanation:

Area of parallelogram us 1/2 × bh

1/2 ×14×6

=42

Answer:

6 sides

Step-by-step explanation:

The interior angle and exterior angle sum to 180° , then

12x + 12 + 5x + 15 = 180

17x + 27 = 180 ( subtract 27 from both sides )

17x = 153 ( divide both sides by 17 )

x = 9

Then

exterior angle = 5x + 15 = 5(9) + 15 = 45 + 15 = 60°

The sum of the exterior angles of a polygon = 360° , thus number of sides n is

n = 360° ÷ 60° = 6

Answer:

2%

Step-by-step explanation:

Given  data

Sales = $8,900

Donated amount=  ​$178

Percentage of donated sales= Donated amount/ Sales*100

Percentage of donated sales= 178/ 8900*100

Percentage of donated sales=0.02*100

Percentage of donated sales=2%

Hence the percentage is 2%

Answer:

5 * 10^2 times greater

Step-by-step explanation:

Here , we want to know how many times bigger is a certain number relative to another

What we have to do here is to make a division

We will have to divide (3 * 10^7) by (6 * 10^4)

That is;

(3 * 10^7) / (6 * 10^4) = 0.5 * 10^7/10^4

= 0.5 * 10^3 = 5 * 10^2

he would have around 7 $ left hope this help

Answer:

116200

Step-by-step explanation:

10x10x10x8.3x14=116200

Sorry if wrong :(

Answer:

29°

Step-by-step explanation:

:)

Answer:

2(4a - 4b) + 4(3a + 2b) = 20a

Step-by-step explanation:

2(4a - 4b) + 4(3a + 2b)

8a - 8b + 12a + 8b

8a + 12b - 8b + 8b

20a+ 0 = 20a

Thus, 2(4a - 4b) + 4(3a + 2b) = 20a

-TheUnknownScientist

Answer:

CB : HF

CA : HG

CD : HE

DA : EG

DB : EF

AB : GF

If the Triangle BCD is similar to triangle FHE. The three equivalent ratios based on the diagram will be CB: HF, CA: HG, and CD: HE.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

The similarity law for triangles is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The equivalent ratios are based on the diagram will be,

CB: HF

CA: HG

CD: HE

DA: EG

DB: EF

AB: GF

Thus, if the Triangle BCD is similar to triangle FHE. The three equivalent ratios based on the diagram will be CB: HF, CA: HG, and CD: HE.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ2

Answer:

34.9%

Step-by-step explanation:

Z1=[tex]\frac{56-75}{8.6}[/tex] = -2.21

F(Z1) = 0.9861

Z2=[tex]\frac{72-75}{8.6}[/tex] = -0.35

F(Z2) = 0.6367

P(56<X<72)= 0.9862-0.6367= 0.349 = 34.9%

Answer:

$31.44

Step-by-step explanation:

According to the word problem, Peter has a coupon for 15% OFF.

This means the price will reduce by 15%.

To solve this, first, change the percentage (15%) to decimal form.

To do this, divide the percentage by 100.

15 / 100 = 0.15.

0.15 is the decimal form of 15%.

Next, multiply the decimal form of the percentage by the price.

36.99 x 0.15 = 5.5485

Lastly, subtract the product from the original price.

36.99 - 5.5485 = 31.4415

In this case, the product goes above the hundredths place.

So we must round 31.4415 to the hundredths place.

31.4415 ≈ 31.44

Therefore, the sneakers are $31.44 after the discount of 15%.

The roots are x = 4  and  2

I'm really sorry if this is wrong but basically 3x4 = 12 and 12x which they both could be mutiplied by 2 to get 24

Answer:

20 cubic inches

Step-by-step explanation:

Answer:

4a:3=8:2

so we multiply 4a to 2 equal to 8 times 3

4a×2=8×3

so a=3

Answer:

a = 3

Step-by-step explanation:

Express the ratios in fractional form , that is

[tex]\frac{4a}{3}[/tex] = [tex]\frac{8}{2}[/tex] ( cross- multiply )

8a = 24 ( divide both sides by 8 )

a = 3

Answer:

83/2x^2-50x-8

Step-by-step explanation:

multiplique los parentensis

42x^2+6x-56x-8-1/2x^2

calcula la diferencia

83/2x^2+6x-56x-8

agrupe los terminos semejantes

83/2x^2-50x-8

Answer:

B) 47.5%

Step-by-step explanation:

Refer to the normal distribution chart attached. If 130 is 2 standard deviations higher than the mean (ignore the numbers beneath the percentages), then by the empirical rule, this means that 34%+13.5%=47.5% of adults are between IQs of 100 and 130. Therefore, option B is correct.

done,

hope this helps

.......

Answer:

5/8

Step-by-step explanation:

Answer:

67.5

Step-by-step explanation:

Im pretty sure this is the answer. A triangle is 180º so you do 180-45 and divide it by 2.

Answer:

67.5°

Step-by-step explanation:

The given angle is 45°, so the remaining to angles must collectively make up the rest of the 180°. In this situation, the opposite sides are congruent, and therefore the angles are identical. So, from the remaining 135° that need to be accounted for, we would simply divide by 2, and get 67.5°.

Answer:

24 slices of pizza were available to be eaten

Step-by-step explanation:

Here, we want to get the number of slices of pizza available to be eaten

From the question;

a slice is 1/6 of a pizza

So the number of slices in a full pizza would be 1 divided by 1/6 = 1* 6/1 = 6 slices

In each of the pizzas, there were 6 slices;

So the number of slices in 4 pizzas would be 6 * 4 = 24 slices

So, 24 slices of pizza were available to be eaten by the girls

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

Answer:

C. his conclusion represent correlation and causation

Answer:

Its C

Step-by-step explanation: