834,692
If the number is less than 5, you keep the the 90 the same.
If the number is more than 5, the new number would be 834,700.
The answer is
834,690when erin got her puppy cuddles he weighed 788.52 grams. He now weighs 2,313.6 grams more than he did when Erin first brought him in. How much does cuddles weigh now?
Answer:
3102.12
Step-by-step explanation:
add the starting weight 788.52 plus the weight he gained 2.313.6
788.52 + 2.313.6 = 3102.12
Solve for z
Please help me, thank u!!!
-3.6
Step-by-step explanation:
z/(-2) + -5 = -3.2 → times -2
z + 10 = 6.4
z = 6.4 - 10
z = -3.6
The elevation of a submarine with respect to sea level is displayed as - 125 feet. Which statement is correct?
A. The submarine is 125 feet above sea level.
B. The submarine is 125 feet below sea level.
C. The submarine is -125 feet above sea level.
D. The submarine is -125 feet below sea level.
B. The submarine is 125 feet below sea level.
Step-by-step explanation:
-124 feet because - (negative) means the submarine is 124 meters below sea level (masl).
Answer:
The elevation of a submarine with respect to sea level is displayed as - 125 feet. Which statement is correct?
A. The submarine is 125 feet above sea level.
B. The submarine is 125 feet below sea level.
C. The submarine is -125 feet above sea level.
D. The submarine is -125 feet below sea level.
Step-by-step explanation:
The keyword is below so it means it is a negative integer. Therefore the answer is letter D.Y=arccos(1/x)
Please help me do them all! I don’t know derivatives :(
Answer:
[tex]f(x) = {sec}^{ - 1} x \\ let \: y = {sec}^{ - 1} x \rightarrow \: x = sec \: y\\ \frac{dx}{dx} = \frac{d(sec \: y)}{dx} \\ 1 = \frac{d(sec \: y)}{dx} \times \frac{dy}{dy} \\ 1 = \frac{d(sec \: y)}{dy} \times \frac{dy}{dx} \\1 = tan \: y.sec \: y. \frac{dy}{dx} \\ \frac{dy}{dx} = \frac{1}{tan \: y.sec \: y} \\ \frac{dy}{dx} = \frac{1}{ \sqrt{( {sec}^{2} \: y - 1}) .sec \: y} \\ \frac{dy}{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} } \\ \therefore \frac{d( {sec}^{ - 1}x) }{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} } \\ \frac{d( {sec}^{ - 1}5x) }{dx} = \frac{1}{ |5x | \sqrt{25 {x }^{2} - 1} }\\\\y=arccos(\frac{1}{x})\Rightarrow cosy=\frac{1}{x}\\x=secy\Rightarrow y=arcsecx\\\therefore \frac{d( {sec}^{ - 1}x) }{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} }[/tex]
Base BC of an equilateral triangle ABC is root2 x+y+2=0. If vertex A is the origin, then the area of triangle ABC is (in sq. units) A) 3 root3 B) 2/3 root3 C) 4/3 root3 D) 6 root3
Answer: Choice C
4/(3*sqrt(3))
which is the same as writing [tex]\frac{4}{3\sqrt{3}}[/tex]
==============================================================
Explanation:
We have the line [tex]\left(\sqrt{2}\right)x+y +2 = 0[/tex] in which points B and C are on this line. In other words, all of segment BC is on that line.
Point A is somewhere off that line as the diagram below indicates. We need to find the line through A that is perpendicular to the given line.
Recall that for any line of the standard form [tex]Px+Qy+R = 0\\\\[/tex], any perpendicular line will look like this: [tex]Qx-Py+S = 0\\\\[/tex]. Note the swap and sign change for the P,Q coefficients.
So anything perpendicular to [tex]\left(\sqrt{2}\right)x+y +2 = 0[/tex] will be of the form [tex]x-\left(\sqrt{2}\right)y+S = 0[/tex]. The sub-goal here is to find what S is equal to.
If you plugged in the origin point (x,y) = (0,0), then you should find that S = 0.
Therefore, the equation [tex]x-\left(\sqrt{2}\right)y = 0[/tex] is perpendicular to the given line and it passes through point A(0,0).
---------------------------
The reason why we computed that perpendicular line is to help determine the point D as shown in the diagram below. This point is at the intersection of the green perpendicular lines. This is at the base of the triangle such that BC is the base.
To find the location of point D, you need to solve this system of equations
[tex]\begin{cases}\left(\sqrt{2}\right)x+y +2 = 0\\\\x-\left(\sqrt{2}\right)y = 0\end{cases}[/tex]
Let's isolate x in the second equation
[tex]x-\left(\sqrt{2}\right)y = 0\\\\x=\left(\sqrt{2}\right)y\\\\[/tex]
Then substitute that into the other equation. Solve for y.
[tex]\left(\sqrt{2}\right)x+y +2 = 0\\\\\left(\sqrt{2}\right)*\left(\sqrt{2}\right)y+y +2 = 0\\\\2y+y +2 = 0\\\\3y +2 = 0\\\\3y = -2\\\\y = -2/3\\\\[/tex]
Now we can find x like so
[tex]x=\left(\sqrt{2}\right)y\\\\x=\left(\sqrt{2}\right)*(-2/3)\\\\x=\frac{-2\sqrt{2}}{3}\\\\[/tex]
The point D is located at the exact coordinates of
[tex]D=(x,y) = \left(\frac{-2\sqrt{2}}{3},\frac{-2}{3}\right)\\\\[/tex]
---------------------------
Next, we use the distance formula to compute the distance between point A and point D.
I'll use lowercase d to represent distance.
[tex]A = (x_1,y_1) = (0,0)\\\\D = (x_2,y_2) = \left(\frac{-2\sqrt{2}}{3},\frac{-2}{3}\right)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{\left(0-\left(\frac{-2\sqrt{2}}{3}\right)\right)^2 + \left(0-\left(\frac{-2}{3}\right)\right)^2}\\\\d = \sqrt{\left(\frac{2\sqrt{2}}{3}\right)^2 + \left(\frac{2}{3}\right)^2}\\\\d = \sqrt{\frac{8}{9} + \frac{4}{9}}\\\\d = \sqrt{\frac{12}{9}}\\\\d = \sqrt{\frac{4}{3}}\\\\d = \frac{\sqrt{4}}{\sqrt{3}}\\\\d = \frac{2}{\sqrt{3}}\\\\[/tex]
This represents the exact length of segment AD.
---------------------------
Since triangle ABC is equilateral, this means triangles ADB and ADC are identical mirrored copies of each other. Those two smaller triangles are equal in area and combine to form triangle ABC back again. Furthermore, they are right triangles. This last fact mentioned will allow us to use the pythagorean theorem like so
[tex]a^2+b^2 = c^2\\\\\left(\text{AD}\right)^2+\left(\text{DC}\right)^2=\left(\text{AC}\right)^2\\\\\left(\frac{2}{\sqrt{3}}\right)^2+\left(\frac{x}{2}\right)^2=\left(x\right)^2\\\\[/tex]
where x represents the lengths of AB, BC and AC.
After skipping a bit of steps, solving that said equation should lead to these two solutions
[tex]x = -\frac{4}{3}, \ x = \frac{4}{3}[/tex]
Because x is a side length, we ignore the negative solution.
---------------------------
We can now compute the area of triangle ABC
[tex]\text{area of triangle} = \frac{1}{2}*\text{base}*\text{height}\\\\\text{area of triangle ABC} = \frac{1}{2}*\text{BC}*\text{AD}\\\\\text{area of triangle ABC} = \frac{1}{2}*\frac{4}{3}*\frac{2}{\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{1*4*2}{2*3*\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{8}{6\sqrt{3}}\\\\\text{area of triangle ABC} = \frac{4}{3\sqrt{3}}\\\\[/tex]
which points us to choice C as the final answer.
When writing this on a keyboard, we would write "4/(3*sqrt(3))" without quotes. The use of parenthesis is needed to ensure we divide by all of 3*sqrt(3). Otherwise, the computer might mistake it for [tex]\frac{4}{3}\sqrt{3}[/tex] which is entirely different.
3r+(7+8)/(t-3)when r=4, s=3 and t=5
Answer:
19.5
Step-by-step explanation:
3r+(7+8)/(t-3)
3(4)+(15)/(5-3)
12+(15/2)
12+7.5
19.5
A volunteer at the zoo is responsible for feeding the animals in 15 exhibits in the reptile house. This represents 20% of the total exhibits in the reptile house. How many exhibits are in the reptile house?
Answer:
75
Step-by-step explanation:
15 is 20% of the total.
The total is x since it is unknown.
20% of the total = 15
20% of x = 15
0.2x = 15
Multiply both sides by 5.
x = 75
what new realization do you have about finding the nth term of the arithmetic sequence and finding the arithmetic means how would you use this in making decision
Step-by-step explanation:
Arithmetic Sequnce in our daily life
The knowledge of calculating the nth term of a sequence can be very helpful. Calculating loans, discounts, salary, savings are some of the use of arithmetic method. If I save P5 per day for 5 years, I can simply use arithmetic sequence to find how much I saved from day 1 to last. Salary increase can also be solved using arithmetic sequence. Below is an example.
Sample real life problem:
1. I earn P300 on the first day. After each succeeding day, I earn P2 more than the previous day. How much should I be able to earn after 30 days?
In this situation, I would use the arithmetic sequence formula which is:
an = a1 + (n - 1)d
an is the nth term
a1 is the first term
n is the term position
d is the common difference
Lets subsitute:
an = P300 + (30 - 1)P2
an = P358
I should earn P348 at the end of 30 days
Hello can some one please help me
Answer:
[tex]216[/tex]
Step-by-step explanation:
Remember that [tex]a^{b}=a*a*a*a*... b~~times[/tex].
So, [tex]6^3=6*6*6=(6*6)*6=36*6=\boxed{216}[/tex]
find equation of line a line that is parellel to the graph of 2x+3y=5 and contains the point (3,-1)
Answer:
[tex]y = - \frac{2}{3} x + 1[/tex]
Step-by-step explanation:
2x +3y= 5
3y= -2x +5
Divide both sides by 3:
[tex]y = - \frac{2}{3} x + \frac{5}{3} [/tex]
[tex]y = - \frac{2}{3} x + 1 \frac{2}{3} [/tex]
Now that the equation is in the slope-intercept form (y= mx +c), the slope of the given line is the coefficient of x.
[tex]slope = - \frac{2}{3} [/tex]
Parallel lines have the same slope.
Slope of unknown line= -⅔
y= -⅔ +c
To find the value of c, substitute a pair of coordinates into the equation.
When x= 3, y= -1,
[tex] - 1 = - \frac{2}{3} (3) + c[/tex]
-1= -2 +c
c= -1 +2
c= 1
Thus, the equation of the line is y= -⅔x +1.
45 is what percent of 80?
Solve the inequality 2x + 5 2 27
Answer:
[tex]2x + 5 \geqslant 27 \\ = 2x \geqslant 27 - 5 \\ = 2x \geqslant 22 \\ = x \geqslant 22 \div 2 \\ x \geqslant 11 \\ x[11 \: \infty ) \\ thank \: you[/tex]
Step-by-step explanation:
Hope this help you
If this help you then mark me as a brainliest
Solve 48-5i=-4x+10yi
Answer:
Step-by-step explanation:
Suppose we decide to solve for y first. y will then be in terms of x AND a real and an imaginary term:
48-5i=-4x+10yi
The goal here is to solve for y. Adding 4x to both sides yields
48 - 5i + 4x = 10yi
and then we divide both sides by 10i to isolate the variable y:
48 - 5i + 4x
----------------- = y This result is "y in terms of the constant 48, the
10i imaginary terms 5i and 10i, and the expression 4x.
We solve the original equation for x in a similar manner:
48-5i=-4x+10yi becomes 48 - 5i - 10yi = -4x, so that:
-(48 - 5i - 10yi)
x = ------------------------
4
Next time, please specify which variable (x or y) you're solving for. Thank you.
Multiply. Write your answer as a fraction in simplest form. 2/3 × 9/4
Answer:
1.5 or 1 1/2
Step-by-step explanation:
2*9 = 18
4*3 = 12
18/12 = 3/2
1.5 or 1 1/2
Robert types 152 words per minute. How long will it take Robert to type 2,508
words?
Answer:
16.5 minutes
Step-by-step explanation:
2508/152 = 16.5
Check: 152 x 16.5 = 2508
If f(x) = x3 – 7, show that f-1(x) = Vx+7.
Answer:
f(x)=4−(x−7)
3
Let y=f(x)
So, x=f
−1
(y) ---- ( 1 )
y=f(x)
⇒ y=4−(x−7)
3
⇒ (x−7)
3
=4−y
⇒ x−7=
3
4−y
⇒ x=7+
3
4−y
⇒ f
−1
(y)=7+
3
4−y
.................. [ From ( 1 ) ]
∴ f
−1
(x)=7+
3
4−x
Kim bought a $2,310.25 snow thrower on an installment plan. The installment agreement
included a 15% down payment and 24 monthly payments of $125 each. What is the total
finance charge?
O d) $1,036.29
O c) $346.54
O a) $3,346.54
Ob) $3,000
HELP PLEASE !!!!!!!!
Answer:
4 3 4 4 4 2 3 4 5 5 3.5 5
Just divide the number by 4
Sry if the list is kinda confusing
Identify the situation that involves opposite quantities adding up to zero Climbing up 6 feet and climbing down 4 feet Hiking 10 feet due north, then hiking 10 feet due south Ascending 2 feet and descending 3 feet Earning $5 and spending $3
9514 1404 393
Answer:
(b) Hiking 10 feet due north, then hiking 10 feet due south
Step-by-step explanation:
Any pair of numbers that totals zero will be a pair of opposites. The offered choices are ...
+6 -4 = 2 . . . not zero
+10 -10 = 0
+2 -3 = -1 . . . not zero
+5 -3 = 2 . . . not zero
Hiking 10 feet due north, then hiking 10 feet due south is a situation involving opposite numbers adding up to zero.
PLEASE HELP ME!! NO LINKS!!!! Part A
Answer:
1. y = 3x - 1
2. y = -3x
3. y = 2x + 4
4. y = 2.5x - 4
5. y = 4x
6. y = -3/4x -0.25
7. uhhh two lines since one definitlye doesn’t work
Step-by-step explanation: I couldn’t add more than 5 pics it’s the limit sadly.
simplify the expression 6y-2y(x+1)
Answer:
2. 4y-2xy
Step-by-step explanation:
6y-2y(x+1)=6y-2xy-2y
=4y-2xy
Explain step by step please!
Thirty copies of a textbook weigh a total of 75lb. What is the weight of each book?
Answer:
Each book weighs 2.5 pounds.
Step-by-step explanation:
75/2.5 is 30. Or you could also get the answer by 30* 2.5 which it would be 75. So, therefor, the answer is 2.5.
Answer:
2.5lb
Explanation:
In equation form the question is asking for x in
[tex]30(x) = 75[/tex]
Since multiplication is reversible (to be division), we can switch the equation up.
[tex]75[/tex] ÷ [tex]30 = x[/tex]
So the answer is
[tex]75[/tex] ÷ [tex]30 = 2.5[/tex]
What is the product of 64and 35?
Answer:
99
Step-by-step explanation:
64
+ 35
= 99
Can someone please explain how to do this problem? I'm struggling a bit.
Answer:
x=135/13
Step-by-step explanation:
9/13 × 15 = x
9 × 15/13 = x
135/13 = x
x = 135/13
I hope this helps :)
HELP! Which expression is equivalent to a^b/c
Answer:
[tex]{ \rm{ {a}^{ \frac{b}{c} } \: \dashrightarrow \: ( {a}^{b}) {}^{ \frac{1}{c} } }} \\ \\ { \boxed{ \rm{ \boxed{} \: \: \sqrt[c]{ {a}^{b} } }}} \\ [/tex]
Given f(x) = -x – 1, find f(5).
Please help! marking brainliest
Answer:
f(5) = -6
Step-by-step explanation:
[tex]f(5) = -x - 1[/tex] [tex]f(5) = -5-1[/tex] [tex]f(5) = -6[/tex]BRAINLIEST!! What’s 36.3 square root ?
Answer:
6.02
Step-by-step explanation:
why is this an impossible sequence to solve?
3x + 1 ?
thanks
Answer:
[tex]T(x)=\begin{cases}\frac{3x+1}{2} & x\text{ is odd} \\ \frac{x}{2} & x\text{ is even}\end{cases} \\ for \: instance \: start \: with \: 7 \: \\ which \: is \: an \: odd \: number \\ \frac{21 + 1}{2} = \frac{22}{2} = 11 \\ 11 \: is \: odd \\ \frac{11 + 1}{2} = 6\\ 6 \: is \: even \\ \frac{6}{2} = 3 \\ 3\: is \: odd \\ \frac{9 + 1}{2} = 5 \: \\ 5 \: is \: odd\\ \frac{15 + 1}{2} = 8 \\ 8 \: is \: even \\ \frac{8}{2} = 4 \\ 4 \: is \: even \\ \frac{4}{2} = 2 \: then \: 1 \\ [/tex]
Step-by-step explanation:
Can we connect to 1 for all numbers?
A general proof for a simple pattern seems almost impossible, probably a new branch of mathematics maybe needed to tackle this conjecture...
The Massachusetts Bay Colony set up a government known as?
Answer:
Next, in 1630, the Puritans used the royal charter establishing the Massachusetts Bay Company to create a government in which “freemen”—white males who owned property and paid taxes and thus could take on the responsibility of governing—elected a governor and a single legislative body called the Great and General Court ...
Answer:
Questions and answers about the Massachusetts Bay Colony. The Puritans established a theocratic government with the franchise limited to church members.
Questions and answers about the Massachusetts Bay Colony. The Puritans established a theocratic government with the franchise limited to church members.Related Places: United States British Empire Massachusetts American colonies
Questions and answers about the Massachusetts Bay Colony. The Puritans established a theocratic government with the franchise limited to church members.Related Places: United States British Empire Massachusetts American coloniesRelated Topics: Western colonialism Puritanism theocracy “Bay Psalm Book”
write the ratio in three ways 10 home runs for every 15 games
Answer:
................................
Answer:
10 to 15 (simplified: 2 to 3)
10/15 (simplified: 2/3)
10 : 15 (simplified: 2 to 3)