Answer:
x = 3.58Step-by-step explanation:
[tex]e^{4x - 5}[/tex] - 7 = 11243[tex]e^{4x - 5}[/tex] = 11250ln [tex]e^{4x - 5}[/tex] = ln 112504x - 5 = ln 112504x - 5 = 9.33 (rounded)4x = 14.33x = 14.33 / 4x = 3.58 (rounded)Answer:
x = 3.58 (2 d.p.)
Step-by-step explanation:
Given equation:
[tex]e^{4x-5}-7=11243[/tex]
Add 7 to both sides:
[tex]\implies e^{4x-5}-7+7=11243+7[/tex]
[tex]\implies e^{4x-5}=11250[/tex]
Take natural logs of both sides:
[tex]\implies \ln e^{4x-5}=\ln 11250[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\implies (4x-5)\ln e=\ln 11250[/tex]
As ln(e) = 1:
[tex]\implies 4x-5=\ln 11250[/tex]
Add 5 to both sides:
[tex]\implies 4x-5+5=\ln(11250)+5[/tex]
[tex]\implies 4x=\ln(11250)+5[/tex]
Divide both sides by 4:
[tex]\implies \dfrac{4x}{4}=\dfrac{\ln(11250)+5}{4}[/tex]
[tex]\implies x=\dfrac{\ln(11250)+5}{4}[/tex]
Using a calculator:
[tex]\implies x=3.582030852...[/tex]
Therefore:
[tex]\implies x=3.58\:\: \sf (2 \: d.p.)[/tex]
Learn more about log laws here:
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2(4a - 4b) + 4(3a + 2b)
plz solve this!!!
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
How many times as great as 6 x 10^4 is 3 x 10^7? Enter the answer in the box.
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
SOMEBODY HELP ME I NEED THE ANSWER AND DONT GIVE ME A LINK DOES THE LINK IS FAKE !!!!
Answer:
c
Step-by-step explanation:
Answer:
A. C. and D.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
What are the answers? I’m very confused! Emergency!!
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
Express (6x-8)(7x+1)-1/2x^2 as a trinomial in standard form.
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
Lila and 11 of her team members were eating pizza after their volleyball game. There were 4 pizzas and each slice of pizza was 1/6 of a whole pizza. How many total slices of pizza were available for the girls to eat? i need help please
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
Finding all real answers i need help for both please and thank you
done,
hope this helps
.......
Bobby is 28cm shorter than Daniel. Roy is 19 cm taller than Daniel. Find the difference in height between Roy and Bobby.
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:
Billy spent 8 days collecting cans and he managed to collect 7 pounds. He collected ____ of a pound each day. In fractions
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
Daniela ha comprado una finca . Si cada metro cuadrado ñe ha costado 100$ , ¿ cuánto le ha costado la finca?
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C. his conclusion represent correlation and causation
Find the value of x- plz helppp mee
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°.
Triangle BCD is similar to triangle FHE. Write at least three equivalent
ratios based on the diagram.
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.
What is the triangle?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:
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Q.Given that 4a:3=8:2.Find a.
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
HELP MEHHHHHHHHH. thanks.
Answer:A
The mean is the average of all numbers, in this example it's to national averages which will have many numbers.
A numbered die has sides labeled 1 to 8. What is the probability of landing on a number greater than 3?
Answer:
5/8
Step-by-step explanation:
PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!
Answer:
20 cubic inches
Step-by-step explanation:
Tom earns $30 a week mowing lawns. he spends 1/6 of his earnings on lunch and 1/3 of his earnings on music . he saves the rest . How many dollars does Tom save?
he would have around 7 $ left hope this help
The scale of scores for an IQ test are approximately normal with mean 100 and standard deviation 15. The organization MENSA, which calls itself the “high IQ society”, requires a score of 130 or higher. What percent of adults are between IQ of 100 and 130 ?
A)68%
B)47.5%
C)95%
D)81.5%
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.
A pet store donated a percent of every sale to hospitals. The total sales were $8,900 so they store donated $178. What percent of $8,900 was donated to hospitals?
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%
A number has the same digit in its hundreds place and its hundredths place. How many times greater is the value of the digit in the hundreds place than the value of the digit in the hundredths place?
Answer:
372
Step-by-step explanation:
that's my answer hope it's help
Answer:
1000
Step-by-step explanation:
Find the Area of the Parallelogram!
Answer:
everything is in the picture
Answer:
42
Step-by-step explanation:
Area of parallelogram us 1/2 × bh
1/2 ×14×6
=42
A teacher's grades are normally distributed with a mean of 75 and a standard deviation
of 8.6. What is the probability that a student will score between 56 and 72?
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%
Help please will give you points
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
How do I solve this arithmetic sequence?
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
Peter has a coupon for 15% off the price of any item in a sporting good store he wants to buy a pair of sneakers that are priced at $36.99 about how much will it take sneakers cost after the discount
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%.
I need help finding the volume of this shape
Answer:
116200
Step-by-step explanation:
10x10x10x8.3x14=116200
Sorry if wrong :(
first to answer correclty gets braineleist ! i rlly need help pls.
Answer:
Its C
Step-by-step explanation:
Find ∠L using law of sines
Answer:
29°
Step-by-step explanation:
:)
Interior angle is (12x+12)°.
The exterior angle is (5x+15)°
how many sides does the polygon have?
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