Answer:
x1= 100 x2=99.999
Step-by-step explanation:
[tex]x^{0.5\log _{10}\left(x\right)}=0.01x^2[/tex]
[tex]0.5\log _{10}\left(x\right)\log _{10}\left(x\right)=\log _{10}\left(0.01\right)+2\log _{10}\left(x\right)[/tex]
u=log(x)
[tex]0.5uu=\log _{10}\left(0.01\right)+2u[/tex]
[tex]u=2+\sqrt{1.0E-15},\:u=2-\sqrt{1.0E-15}[/tex]
[tex]x=10^{2+\sqrt{1.0E-15}},\:x=10^{2-\sqrt{1.0E-15}}[/tex]
The standard configuration for a Colorado license plate is 3 letters followed by 3 digits. How many different license plates are possible if letters and digits can be repeated?
Answer:
17,576,000 different combinations possible.
Step-by-step explanation:
pls help due soon i’ll mark brainliest
I can't see anything dude, you on something?
A dress originally priced at 8080 dollars was put on sale for 25\%% off. If 10\% tax was added to the sale price, then the total selling price (in dollars) of the dress was
Answer: If the dress orginially priced at 8080 dollars and put for 25 percent, that means that you have to move the decimal point to the left twice which will result as 0.25 and 10 percent tax ends up as 0.10. Multiply the two and the product, you have to add to the 8080!
Step-by-step explanation:
Simplify the expression 4(-y+2) -3y
Answer:
−7y+8
Step-by-step explanation:
1. Simplify each term.
−4y+8−3y
2. Subtract 3y from −4y.
−7y+8
Hope this helps :D
please help,I WILL GIVE BRAINLIEST.
Ben participated in a race. During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours. During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. What equation could you write to solve for the number of hours Ben ran during each half of the race? Let y represent the number of miles in half the race. Write two equations, one for the first half of the race and one for the second half. How could you transform these two equations to be the same as the original equation you wrote to solve for x? What do you think this means about solving for the variables in a situation represented by two equations?
Answer:
During the first half of the race, he walked 3 miles and ran at a rate of 5 miles per hour for x hours.y = 5x + 3
During the second half of the race, he walked for 2 miles and ran at a rate of 5.5 miles per hour for x hours. y = 5.5x + 2
Then using both equations will be:
y = 5x + 3
y = 5.5x + 2
Subtract the equations
0.5x = 1
x = 1/0.5 = 2
Therefore, the value of y will be:
y = 5x + 3 = 5(2) + 3 = 13
Kashira has 3/9 of a pizza and Laila gave her 1/3 of a pizza. How much pizza does Kashira have now? Please provide your answer in simplest form. (NVM FIGURED IT OUT)
Answer:4/9 pizzas
Step-by-step explanation:
Shawna wanted to boat across the river, but did not know how wide it was. She walked along the shore for 90 feet and sighted across the water to the point she wanted to go. The angle that the sight line made with the shoreline was 65°. What was the distance across the river?
The distance across the river, given the angle of the line of sight and the
distance along the shoreline is found using trigonometric ratios.
The distance across the river is approximately 193 feet.Reasons:
The distance along the the shore Shawna walked before sighting across the river = 90 feet
The angle made by the line of sight and the shoreline, θ = 65°
Required:
The distance across the river.
Solution:
Taking the initial location of Shawna to be the closest place to point she wanted to go across the river, we have;
The shortest distance across the river = A perpendicular line
Therefore, the following sides, form a right triangle;
The line of sight.The distance along the shoreline Shawna walked, andThe closest distance across the river.Where:
The line of sight = The hypotenuse side
The distance she walked = The adjacent side to angle 65° angle
The closest distance across the river = The opposite side to the 65° angle
By trigonometric ratio, we have;
[tex]\displaystyle tan(\theta) = \frac{Opposite \, side \, to\ angle}{Adjacent\, side \, to\, angle} = \mathbf{\frac{Distance \ across \ the \ river}{Distance \ along \ the \ shoreline}}[/tex]Which gives;
Opposite side to angle = tan(θ) × Adjacent side to angle
Therefore;
Distance across the river = tan(65°) × 90 feet ≈ 193.0 feet
The distance across the river is approximately 193 feetLearn more about trigonometric ratios here:
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(03.02) If g(x) = x2 + 2, find g(3). (2 points) Group of answer choices 9 8 11 6
this answers is 8 am I right
Examples:
3x (coefficient is 3)
4t (coefficient is 4)
Review
Directions: Name the coefficient (s) in the following expressions:
1. 9s + 4t
2. 46rs + 10x
3. 18q + 14x
4. 10x + 14y
5. 17rs + 32x
6. 5x + 7y - 5z
7. 3ab + 70m
8. 3r + 20a + 10m
9. 7k + 16m
10. 7r + 5s
11. 9j + 120m
12. 12k + m
13. 6c + 15h + w
14. 2c - 19d + 12f
15. 3t + 14r - 31j
Answer:
1. 9 + 4
2. 46 + 10
3. 18 + 14
4. 10x+ 14
5. 17 + 32
6. 5 + 7- 5
7. 3 + 70
8. 3 + 20 + 10
9. 7 + 16
10. 7 + 5
11. 9 + 120
12. 12
13. 6 + 15 +
14. 2 - 19+ 12
15. 3 + 14 - 31
Step-by-step explanation:
A ball is thrown upward from a height of 15 feet with an initial upward velocity of 5 feet per second. Use the formula b(t)= -16t^2 + 5t + 15 to find the time it takes for the ball to reach the maximum height of the ball. Round to the nearest tenth
A. 0.2 seconds
B. 0.1 seconds
C. 0.3 seconds
D. 0.9 seconds
Answer:
0.2 seconds
Step-by-step explanation:
The graph of b(t) = -16t^2 + 5t + 15 is a parabola opening downward. The maximum value of b(t) occurs at the vertex. The t-coordinate of the vertex is t = -5 / (2(-16)) = 5/32 = 0.15625 sec ≈ 0.2 sec.
Answer:
A) 0.2 seconds
Step-by-step explanation:
[tex]b(t)=-16t^2+5t+15[/tex]
[tex]v(t)=-32t+5[/tex] <-- Take the derivative
[tex]0=-32t+5[/tex] <-- Set equal to 0
[tex]-5=-32t[/tex]
[tex]\frac{5}{32}=t[/tex]
[tex]t=\frac{5}{32}[/tex]
[tex]t\approx0.2[/tex]
Therefore, it will take the ball about 0.2 seconds to reach its maximum height (which happens to be about 15.4 feet BTW).
Alternatively, another non-calculus approach is the fact that the parabola opens downward, and as such, the maximum of [tex]b(t)[/tex] occurs at the vertex where [tex]t=-\frac{b}{2a}[/tex], therefore [tex]t=-\frac{5}{2(-16)}=\frac{-5}{-32}=\frac{5}{32}\approx0.2[/tex]
A T-shirt company charges $4 per T-shirt, plus a
flat shipping fee of $5. Terry bought some
T-shirts. How can you write an algebraic
expression to represent the total cost of Terry's
order including shipping?
Plz help plz
Answer:
y = 4x + 5
Step-by-step explanation:
4 times the number of shirts, which is unknown, +$5 no matter how many.
Answer:
4x + 5
Step-by-step explanation:
Four multiplied by the number of shirts purchased (x) plus five dollars for shipping.
I hope this helps!!
HELP GIVING BRAINLIEST!
Answer:
C
Step-by-step explanation:
Answer:
y = 1/4x
Step-by-step explanation:
The ratio of three number is 5:6:7. If the sum of the numbers is 54. What
are the numbers?
[tex]5x + 6x + 7x = 54 \\ = > 18x = 54 \\ = > x = 3[/tex]
So, the numbers are (5 × 3) i.e., 15, (6 × 3), i.e., 18, (7 × 3), that is 21.Answer:
The numbers are 15, 18 and 21.
Hope you could get an idea from here.
Doubt clarification - use comment section.
I need this answer
ASAP!
Remainder of 52,259 divided by 215
Answer:
14
Step-by-step explanation:
52,259 divided by 215 is 243.065116279
so we know that the nearest whole number is 243.
243x215 is 52,245
subtract 52,245 from 52,259 which gives you the remainder of 14
Determine the intercepts of the line.
Answer:
y-intercept: (0,5)
x-intercept: (5/2,0)
Step-by-step explanation:
[tex]-4x+7=2y-3[/tex]
[tex]-4(0)+7=2y-3[/tex]
[tex]0+7=2y-3[/tex]
[tex]7=2y-3[/tex]
[tex]10=2y[/tex]
[tex]5=y[/tex] <-- y-intercept: (0,5)
[tex]-4x+7=2y-3[/tex]
[tex]-4x+7=2(0)-3[/tex]
[tex]-4x+7=-3[/tex]
[tex]-4x=-10[/tex]
[tex]x=\frac{5}{2}[/tex] <-- x-intercept: (5/2,0)
Graph the linear equation 3x - 4y = 12
y = 2x + 7
3x - 4y = -13
Unit Rate
Madison can eat 12 eggs in 20 minutes. How many
eggs can she eat in 35 minutes?
Answer:
37
Step-by-step explanation:
38 + u actually thought lol
Please answer both please please I’ll give brainly
Answer:
4. 9
5. 5x
Step-by-step explanation:
its an isocoles
If 12g of a radioactive substance are present initially and 8yr later only 6g remain, how much if the substance will be present after 13 years?
The weight of substance remaining after 13 years is 2.25 g.
Given:
Present weight of substance = 12 g
After 8 years weight remains = 6 gm
Now, weight loss in 8 year will be,
12-6=6 gm
So, weight loss in 1 year will be,
[tex]\dfrac{6}{8} =\dfrac{3}{4}[/tex]
Total weight loss in 13 year will be,
[tex]\dfrac{3}{4}\times13=9.75[/tex]
The weight of substance remaining after 13 years will be,
[tex]12- 9.75 = 2.25 \;\rm g[/tex]
Therefore, the weight of substance remaining after 13 years is 2.25 g.
To know more about radioactive decay, refer to the link:
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Brian has DVDs and CDs. The number of CDs he has can be modelled with the formula C = 2D + 11, where C represents the number of CDs and D represents the number DVDs. If he has 41 CDs, how many DVDs does he have?
Answer: 15 DVDs
Step-by-step explanation:
C = 2D + 11
41 = 2D + 11
2D = 30
D = 15 DVDs
What is the coefficient of the term x°ys in the
expansion of the binomial expression
(2x - y)8?
Answer:
if it is (2x-y)8
then it is 16x - 8y
[tex]x^0[/tex]y = 1.y = y
so the co efficient of y is -8
Step-by-step explanation:
a perfect score in bowling is 300 points. you get a perfect score if you knock down 120 pins in 10 frames. what are the decimal value and percent of the number of pins knocked down in a relation to a perfect score?
Answer:
number of pins to perfect score
120/300=40/100
percent means parts out of 100
40/100=40%
answer is 40% or 0.40
NOTE: To find the percentage we will multiply decimal value of number of know down pins to a perfect score by 100
Number of know down pins to a perfect score= 0.4 x 100
Number of know down pins to a perfect score=40%
If correct please give brainliest
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Jim has 44 nickels and dimes totaling $2.95. How many nickels does he have?
29 Nickels
15 Dimes
Hope this is helpful!
9 13 / 16 + 10 3 / 8 =
Need Help....
I can't understand the question so please help me.....
[tex]for \: x \: such \: that \: 0 < x < \frac{\pi}{2}[/tex]
It is the expression
[tex] \frac{ \sqrt{1 - {cos}^{2}x } }{sin \: x} \:- \frac{ \sqrt{1 - {sin}^{2}x } }{cos \: x} \\ \\ is \: equivalent \: to:[/tex]
[tex]f.0 \\ g.1 \\ h.2 \\j. - tan \: x \\ k. \: sin \: 2x[/tex]
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If 0 < x < π/2, then both sin(x) and cos(x) are positive.
From the Pythagorean identity, we then have
cos²(x) + sin²(x) = 1
⇒ cos(x) = + √(1 - sin²(x)) and sin(x) = + √(1 - cos²(x))
Then
√(1 - cos²(x))/sin(x) = sin(x)/sin(x) = 1
and
√(1 - sin²(x))/cos(x) = cos(x)/cos(x) = 1
so that the overall expression reduces to
1 - 1 = 0
Can someone please help me with 54? It’s the last one and it’s due in 1 hour Tysm if you do!!
Answer:
The awnser should be 4. (3x4 = 12, 12 x 4 = 48, 48 x 12 = 192, 192 x 4 = 768. )
Step-by-step explanation:
(Hope this helps, Happy holidays!!)
A salesperson's commission rate is 4% what is the commission from the scale of 39,000 worth of furnaces?
Suppose sales would double. What would be true about the commission?
Answer:
3,120
Step-by-step explanation:
hope it will help you
Find the area.
2 cm
2 cm
4 cm
Answer:
6 cm^2
Step-by-step explanation:
The area of the trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters
Answer:
6 cm^2
Step-by-step explanation:
The area of the trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(4 cm +2 cm)(2 cm) = 6 square centimeters
Chang made $156 for 13 hours of work at the same rate, how many hours would he have to work to make $108?
Answer:
9 hours
Step-by-step explanation:
"At the same rate" means time and wages are proportional.
time/wages = t/$108 = (13 h)/$156
t = 108(13 h)/156 . . . . . . . . . . . . . . . units of dollars cancel
t = 9 h
Chang would have to work 9 hours to make $108.