Answer:
Easy
Step-by-step explanation:
Answer: 36,000 divided by 90 is 400
Answer:
400
Step-by-step explanation:
Let f(x)= - 4x - 1 and g(x)=x² - 5
Find (fog)(-2).
[tex]f(x) = -4x-1\\\\g(x) = x^2 -5 \\\\g(-2) = (-2)^2 -5 = 4 -5 =-1\\\\(f \circ g)(-2)\\\\=f(g(-2))\\\\=f(-1)\\\\=-4(-1) -1 = 4-1=3[/tex]
The hypotenuse of a 30°-60°-90º triangle is 8 units and one leg is 4 units. What is the length of the other leg?
Answer:
The length of the other leg is [tex]4\sqrt{3}[/tex]
Step-by-step explanation:
There are 2 ways to solve this.
1) Pythagorean theorem (the harder way)
A 30-60-90 triangle is a right triangle, and therefore you can use the pythagorean theorem to calculate the measure of 1 side given the 2 others.
[tex]a^2+b^2=c^2\\a^2+4^2=8^2\\a^2+16=64\\a^2=48\\a=\sqrt{48}\\a=6.9282...[/tex]
That's one solution, but its not a very nice number or the exact answer you probably want. Instead, you can simplify the root.
First, you need to factor 48:
[tex]2*24=48\\2*12=24\\2*6=12\\2*3=6[/tex]
The prime factors of 48 are:
[tex]2*2*2*2*3=48[/tex]
Then, you need to find perfect squares:
[tex](2*2)*(2*2)*3=48\\2^2*2^2*3=48[/tex]
And finally, you can remove those like this:
[tex]\sqrt{48} =\sqrt{2^2*2^2*3} \\\sqrt{48} =2\sqrt{2^2*3} \\\sqrt{48} =2*2\sqrt{3} \\\sqrt{48} =4\sqrt{3}[/tex]
The length of the other leg is [tex]4\sqrt{3}[/tex]
2) 30-60-90 triangle relationships (the easier way)
There are 4 simple rules here:
Short leg × 2 = hypotenuseShort leg × √3 = long legLong leg ÷ √3 = short legHypotenuse ÷ 2 = short legThey're actually pretty easy to remember. You can multiply the short leg by 2 or √3, and 2 is greater than √3 (check a calculator). The hypotenuse of course is also longer than the long leg, so you have to multiply by 2 to get it. Then for the long leg, the only option is to multiply by √3. The same works in reverse for both of those.
Here, we have the short leg. You can check that with the pythagorean theorem again to be sure:
[tex]a^2+4^2=8^2\\a^2+16=64[/tex]
Because 16 is less than half of 64, a has to be the longer leg. Using the rules above, multiply the short leg by √3 to get the answer:
[tex]4 * \sqrt{3} \\4\sqrt{3}[/tex]
Same answer as the previous method.
Find (- 18) + (-25) + 13.
-56
20
-30
-6
Answer: -30
Step-by-step explanation:
1.)Which of the following is a linear inequality in two variables?
a. 3x≤16
b. 3m-4m>5
c. 9q+4<12
d. 11+2t ≥ 3?
[tex] \large╚»★«╝ { \mathcal{Answer }}╚»★«╝[/tex]
The Correct option among them is B
[tex] \sf3m - 4n > 5[/tex]_____________________________________
The other options have one variable each, but according to the given question there should be two variables in the inequality.
The only choice satisfying the conditions is Option B
having two variables in it ( that is "m" and "n" )
[tex] ꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
URGENT WILL GIVE BRAINILY
Alex drives at a speed of 60 miles per hour. How long will it take to drive 330 miles?
Answer:
5.5 hours
Step-by-step explanation:
time = distance/speed
t = 330/60
t = 5.5 hours
solve this equation: x/5+3=2
[tex]\frac{x}{5} +3=2\\\frac{x}{5} =-1\\x=-5[/tex]
Let me know if you need any clarification, I just don't have much to say on a simple question like this
Change the following numbers to decimals and round to the nearest hundredth
5/9
Answer:
Answer: 5/9 as a decimal is 0.556.
5/9 ≈ 0.56 rounded to the nearest hundredth, good luck
Maria, Trey, and David sent a total of 65 text messages over their cell phones during the weekend. David sent 2 times as many messages as María, Maria sent 5
fewer messages than Trey. How many messages did they each send?
Answer:
David= 30
Maria= 15
Trey= 20
Step-by-step explanation:
If David sent 30 messages, then half as as many as that would be 15, the amount that Maria sent. 5 more than what Maria would be what Trey sent, 20.
find the derivative of (Cosx/1+sinx)^5
Use the Chain Rule:
[tex]\frac{d}{dx} [f(g(x))] = f'(g(x)) * g'(x)[/tex]
Given Information:
[tex]f(x) = x^5\\ g(x) = \frac{cos(x)}{1} +sin(x)\\ f(g(x)) = ( \frac{cos(x)}{1} +sin(x))^5\\ \\ f'(x)=5x^4\\ g'(x)=\frac{-sin(x)}{1} + cos(x)\\f'(g(x))*g'(x)=5(\frac{cosx)}{1} + sin(x))^4*(\frac{-sin(x)}{1} + cos(x))[/tex]
The answer is:
[tex]5(\frac{cosx)}{1} + sin(x))^4*(\frac{-sin(x)}{1} + cos(x))[/tex]
13. Perry drew a design for a number cube
and marked it with the given dimensions,
Find the surface area of the design.
Answer:
150 cm square
Hope this helps!
Does anyone know the answer.With explanation plz.
Answer: He sold 1,800 merchandise
Step-by-step explanation: 426 - 300 = 126 ÷0.07 = 1,800
I dont know if im right though
if 50% of a number is 170 and 20% of the same number is 68, find 70% of that number.
Original price of an SUV $12,000.00 Tax:5.3%
the total whole numbers less than 1539 divisible by 12
Answer:
the ancwer is 1536
Step-by-step explanation:
i used a coculater
What did you notice about the sums of 7 + (–3) and –3 + 7?
Step-by-step explanation:
Sum of 7 + (-3) = 7 +.- 3 = 7 - 3 = 4
( As + × - = -)
Sum of -3+7 = 4
We observe that both are same .
Answer:
they both give the same answer
Step-by-step explanation:
7+(_3)=+4
_3+7=+4
7. Fill in the columns in the following table. What quantity should
a profit-maximizing firm produce? Verify your answer with
marginal reasoning.
Answer:
The rule for a profit-maximizing perfectly competitive firm is to produce the level of output where Price= MR = MC, so the raspberry farmer will produce a quantity of 90, which is labeled as e in Figure 4 (a). Remember that the area of a rectangle is equal to its base multiplied by its height.
Simple problem pls help
The figure below is a square with an area of 625 square centimeters. The length of a rectangle is 40% more than the length of the square. Find the length of the rectangle.
For a square:
A = s2, where s = side (the length and the width are the same)
625 = s2
±25 = s
length of rectangle = 1.4 · length of square
length of rectangle = 1.4(25)
length of rectangle = 35
- Kerry multiplied 143.64 X 10 and got 14.364. Is Kerry's answer correct?
If not, tell what Kerry might have done incorrectly.
Is the wrong answer, the correct answer is 1,436.4
What is the value of y in y = log_64 64?
Step-by-step explanation:
if I understand this correctly as logarithm of 64 to the base of 64, then the answer is clearly 1
64¹ = 64.
Please help! Grade 7 math
Answer:
[tex]-\frac{5}{8}\\-9.2%\\\\-0.001[/tex]
-3/4, -5/8, -9.2%, -0.001, 4.6%, 5%, 33%
Step-by-step explanation:
[tex]-\frac{3}{4}=-75[/tex]% 4.6%
Let's do the process of elimination to find our answers
[tex]-\frac{5}{8}=-62.5[/tex]% this would be in between because - 62.5% would be after -75%
[tex]\frac{5}{100}=5[/tex]% this fraction equals to a positive percentage which would be after 4 so not this one
[tex]-0.001 = -0.1[/tex]% this number would come after -75%, -62.5%, -9.2%and before 4.6% so this would be one
[tex]-0.75= -75[/tex]% we already have the percentage so not this one
33% this number would come after 4.6% so not this one
-9.2% this would be between them because its -9 and it will be after -75% and -62.5%
what is the measure of x?
Answer:
Hello!
After reviewing the problem you have provided I have come up with the correct solution:
x= 9
Step-by-step explanation:
To come up with this solution you have to first realize that the smaller triangle is a proportionally scaled down version of the entire larger triangle! (I will show what I mean in a linked picture)
So after we have realized that the smaller triangle is a scaled down version of the larger one, we can then create a formula or ratio to calculate the value of the missing side of the larger triangle (being x+6=??).
To create the formula/ratio I divided 10inches by 4inches. Thus the larger triangle is 2.5 times larger than the smaller one.
I then use this ratio to figure out the missing length of the larger triangle by doing:
6inches x 2.5 = 15inches.
I then inputed the 15inches into the formula of the missing side:
x+6=15
Subtracted 6 from both sides to simplify, and came up with the solution!
x=9
Let me know if this helps!
find the sum of all the odd numbers between 51 and 99 inclusive
Answer:
1875
Step-by-step explanation:
Solve it ( i'll select u as brainlist )
Answer:
b is ur answer
Step-by-step explanation
hope this helps :)
10% markdown of $543.20
Answer:
5.Math is a very different one that
Ok
Solving an Inequality
Quick
Check
15
To solve the inequality
m/-7<14, what should be done to both sides?
O Divide both sides by 14.
Divide both sides by -7.
O Multiply both sides by 14.
O Multiply both sides by - 7
Answer:
D. Multiply both sides by -7
Step-by-step explanation:
So solving would look like this
m/-7 < 14
m > -2
Remember when multiplying by a negative the sign flips, hope that helps :)
PLEASE HELP the information is below
Answer:
yellow: x=6
red: y=4
blue: y=-2
Step-by-step explanation:
6^3 multiplied by (1/2)^3
Step-by-step explanation:
6³×(½)³
=> 216÷8 = 27.
hope this helps you.
_8+5 I need helpplz
Answer:
8 plus five is 13..
Step-by-step explanation:
Translate the following word phrase into an algebraic expression: Nine times a number y.
Answer:
9×y
Step-by-step explanation:
the
answer
of
the
given
is 9y