Answer:
3
Step-by-step explanation:
(8y-3)+(-8y+6)=
8y + -8y = 0
-3 + 6 = 3
0 + 3 = 3
Consider the equation 4•e^2.7x = 33
Solve the equation for x. Express the solution as a logarithm in base-e.
x ≈
Approximate the value of x. Round your answer to the nearest thousandth.
x≈
Answer:
[tex] \huge x = ln( \frac{33}{4} ) \times \frac{ 10}{27} \\ \huge \: x \approx 0.782[/tex]
Step-by-step explanation:
to understand thisyou need to know about:logarithmPEMDASlet's solve:[tex]4 {e}^{2.7x} = 33 \\ {e}^{2.7x} = \frac{33}{4} \\ 2.7x = ln( \frac{33}{4} ) \\ x = ln( \frac{33}{4} ) \times \frac{ 10}{27} \\ x \approx 0.782[/tex]
An equation is formed of two equal expressions. The value of x is 0.7815.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation 4•e^2.7x = 33 can be solved for x as,
[tex]4\cdot e^{2.7x }= 33\\\\ e^{2.7x }= \dfrac{33}{4}\\\\\text{Taking anti-log}\\\\2.7x = ln\frac{33}{4}\\\\x = ln(\dfrac{33}{4}) \times \dfrac{1}{2.7}\\\\x=0.7815[/tex]
Hence, the value of x is 0.7815.
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Solve the equation.
1.5x + 6 = 18
The sum of two numbers is 30 and their difference is 4. Find the numbers
Answer:
17 and 13
Step-by-step explanation:
So you can set up an equation:
let x be the greater number
this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.
The sum is 30, so x + (x - 4) = 30
Then, solve:
x + (x - 4) = 30
x + x - 4 = 30
combine like terms
2x - 4 = 30
add 4 to both sides
2x = 34
divide both sides by 2
x= 17
Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.
The numbers are 17 and 13
Someone please help me with this
In a bag, there are red and green marbles in the ratio of 2:7. If there are 27 marbles in the bag, how many of them are green?
7
21
10
18
Answer:
21
Step-by-step explanation:
2 + 7 = 9
27/9 = 3
3 times 7 = 21
6 ft
3 ft
6 ft
15 ft
Find the area of the figure above.
Answer:
15ft
Step-by-step explanation:
if you mean the area that is blank
(Tell me if i'm wrong)
Answer:
the answer would be 90 because the big triangle is 72 and the rectangle is 18
Find f(g(3)) given:
*
f (x) = 2x2 – 1
g(x) = 3x
h(x) =
j(x) = x - 5
Answer:
161
Step-by-step explanation:
Given the functions
f (x) = 2x^2 – 1
g(x) = 3x
we are to find f(g(3))
First look for the composite function f(g(x))
f(g(x)) = f(3x)
f(3x) = 2(3x)² - 1
f(3x) = 2*9x² - 1
f(3x) = 18x² - 1
f(g(x)) = 18x² - 1
Substitute x = 3 into the result
f(g(3)) = 18(3)² - 1
f(g(3)) = 18*9- 1
f(g(3)) = 162-1
f(g(3)) = 161
Hence f(g(3)) is 161
10. A medium pizza at Danny's Pizza costs $13.60 plus $2.50 for each topping. At Nicki's Pizza, a medium pizza costs $14.60 plus $2 for each topping. Which statement is true regarding the price of a medium pizza at the two pizza restaurants?
Answer:
D
Step-by-step explanation:
The department store buys a suit for $72. They mark it up 110%, what is the
mark-up amount?
Answer:
$79.20
Step-by-step explanation:
to find markup just multiply 72 by 110%. Conver 110% to a decimal, which is 1.1 Then multiply 72 by 1.1 = 79.2
So the markup amount is $79.20
How do I find these equations using substitution y=-3x+5 and 5x-4y=-3 ?
Answer:
x=1
Step-by-step explanation:
you would change it to 5x-4(-3x+5)=-3, because you put the info for the first equation into the second equation.
5x-4(-3x+5)=-3
5x+12x-20=-3
17x-20=-3
17x=17
x=1
Answer:
(1,2)
Step-by-step explanation:
1) To solve using substitution, first isolate one of the variables in one of the equations. However, the y in y = -3x + 5 has already been isolated, so we don't need this step. Instead, take that value of y and substitute it for the y in the other equation, 5x - 4y = -3. So, substitute -3x + 5 for the y in 5x - 4y = -3 and solve:
[tex]5x-4(-3x+5)= -3\\5x+12x-20=-3\\17x-20=-3\\17x = 17\\x = 1[/tex]
2) So, x = 1. Now, take that value of x and substitute back into any of the equations to find the y value. (I chose to substitute it into y = -3x + 5, but either choice is fine). So, substitute 1 for the x in y = -3x + 5 and solve:
[tex]y = -3(1)+5\\y = -3+5\\y = 2[/tex]
So, y = 2. Thus, by knowing both x and y values, the solution would be (1,2).
A quantity with an initial value of 380 decays exponentially at a rate of 1% every 4 hours. What is the value of the quantity after 174 minutes,
Answer:
377.24
Step-by-step explanation:
Identify the underlined portion of the sentence below:
Abel
Sylvia bought her mother a beautiful necklace on her birthday
a. Subject
с. Direct Object
b. Verb
d. Indirect Object
Answer:
subject subject subject
What benchmark would you round the following number to?*
3
4/6
Answer:
4 because it is 3.6666666
A scuba diver dove 40 feet below the surface. He swam up 12 feet to see a unique fish. He followed the fish down 8 feet. Then he followed the fish up 27 feet. How far below the surface is the diver now?
Answer: 9 feet below the surface.
Step-by-step explanation:
The scuba diver starts 40 ft below the surface. We can represent the position of the scuba diver as:
Position = -40ft
Where the negative sign is because it is below the surface of the water, so
"He swam up 12 feet to see a unique fish."
Now we need to add 12ft
Then his new position is:
Position = -40ft + 12 ft = -28ft
"He followed the fish down 8 feet.
Now we need to subtract 8ft
His new position is:
Position = -28ft - 8 ft = -36 ft
"Then he followed the fish up 27 feet."
Now we add another 27 ft.
The final position will be:
Position = -36ft + 27ft = -9ft
Then the final position of the scuba diver is -9ft, that means that he is 9 feet below the surface.
what is the area of this triangle enter your answer in the box
Answer:
72
Step-by-step explanation:
A triangle's area is base * height * 1/2.
Plug in the values they give.
18 * 8 * 1/2 = area
area = 72
A restaurant needs to build a wheelchair ramp for its customers. The angle 2 of elevation for a ramp is recommended to be 5 degrees. If the vertical distance from the sidewalk to the front door is two feet, what is the horizontal distance that the ramp will take up? Round your answers to the nearest hundredth. * O a) 22.9 ft O b) 26.4 ft O c) 22.8 ft O d) 22.2 ft
Answer:
Step-by-step explanation:
An escalator at a shopping center is 200.75 feet long and rises at an angle of 15⁰. What is the vertical rise of the escalator? Round to hundredths place
The horizontal distance that the ramp will take up is a) 22.9 ft.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, The vertical or opposite distance is 2 feet and it has an angle of 5°.
∴ The horizontal or adjacent distance can be obtained by tan(theta).
Assuming horizontal distance to be x feet.
∴ tan(5°) = 2/x feet.
x = 2/tan(5°).
x = 22.9 feet.
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(a-4) (6a²+ 10a-3) simplify.
Answer: 6a³-14a²-43a+12
Step-by-step explanation:
Explanation is in picture.
It is about 780 miles from George Washington's hometown of Mount Vernon.Virginia to Abaraham Lincoln's Hometown of Springfield, Illinois. If you were to drive without stopping at 30mph,from Springfield to Mount Vernon, How many minutes Would you take to get there ? Answer asap with a picture pls
Answer: 26
Step-by-step explanation: well I don't know the unit but miles is distance so we have to divide 780/30 which is 26 as my calculator says so the answer is 26 and if you think am wrong sorry you can just divide 780/30 and see the answer.
The height odf a regtangular pyramid is 4 inches. The base of the pyramid measures 9 inches by 9 inches. What is the volume of the rectagular pyramid in cubic inches?
Answer:
[tex]V=108\ \text{inches}^3[/tex]
Step-by-step explanation:
Given that,
The height of a rectangular pyramid is 4 inches
The base of the pyramid measures 9 inches by 9 inches.
We need to find the volume of the rectangular pyramid. The formula for the volume of the rectangular pyramid is given by :
[tex]V=\dfrac{lbh}{3}[/tex]
Substitute all the values,
[tex]V=\dfrac{4\times 9\times 9}{3}\\\\V=108\ \text{inches}^3[/tex]
So, the volume of the rectangular pyramid is [tex]108\ \text{inches}^3[/tex].
pls, help im in middle school not high school please answer these two questions.
200+200,000=200,200
Step-by-step explanation:
1/10 of 2000 is 200 pounds. 200 Pounds of cheese
100 times more lettuce than beef. 200,000 Pounds
Answer:
Lettuce:20 lbs, Cheese:200 lbs
Step-by-step explanation:
Divide. If 1 tenth of the beef is cheese, divide by 10.If 1 hundredth of the beef is lettuce,divide by 100. 2000/10 Is 200, 2000/100 is 20.
Brady had a balance of $23 before a $25 fee was charged to his account. what is his new balance?
Answer:
$48
Step-by-step explanation:
23+25=48
Help please and show work
what is 16y - u + 34x when x = 2 u = 14 and y = 3
Answer:
102
Step-by-step explanation:
48-14+68
15 POINTS & BRINILY IF RIght!
Solve for r.
r + 12 / 5 = 5
R =?
Find the value of x to the nearest tenth 26.2 32.4 39.8 40
Answer: 39.8
Step-by-step explanation:
I just did it on edge 2021.
a right rectangular prism has a square base with a side length of 3 inches. the height of the prism is 81/4 inches. what is the volume of the prism
Answer:60 3/4
Step-by-step explanation:you multiply 81/4 times 3 and get 243/4 so you divide 243 divided by 4 and the answer is 60 3/4
Will give random brainliest if 10 users comment or answer and put #brainliest
Answer:
#brainliest
Step-by-step explanation:
tghfue7hbjdj I o
Answer:
HEY
#brainliest
Step-by-step explanation:
Can someone help me with this?
9514 1404 393
Answer:
x = 10y = 7.5Step-by-step explanation:
The ratio of the larger to the smaller corresponding sides is ...
12.5/5 = 2.5
That means ...
x = 2.5 × 4 = 10
y = 2.5 × 3 = 7.5
please explain for me how to do this
if the measure of arc WZX is 262 what is the measure of angle XWY?
Answer:
Hey we go to the same schoola and have the same class so thats cool. Also i think it might be the reverse of what we did on question five where we divide the measure of the arc by two instead of multiplying the angle by two to get the arc. If this is true then our answer will be 49*
Step-by-step explanation:
What is the equation in slope-intercept form of the line that passes through (2, 3) and is parallel to the line through (-2, 1) and (7, 1)?
9514 1404 393
Answer:
y = 3
Step-by-step explanation:
The slope formula can be used to find the slope of the parallel line.
m = (y2 -y1)/(x2 -x1)
m = (1 -1)/(7-(-2)) = 0
The line is a horizontal line, so the y-intercept must be chosen to match the y-value of the given point.
y = 3
_____
If you want to see the slope of zero in the slope-intercept form equation, you can write the equation as ...
y = 0x +3
It is pretty unusual to keep 0 terms in an equation. Usually, they are eliminated when the equation is simplified.
classify point C
A. centroid
B. circumcenter
C. orthocenter
D. incenter
PLS HELP PLS