Answer:
I don't think you can solve this because they don't say the price per pound of fruit or nuts
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]
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
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]
simplify the expression 6y-2y(x+1)
Answer:
2. 4y-2xy
Step-by-step explanation:
6y-2y(x+1)=6y-2xy-2y
=4y-2xy
I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on
Hi there!
What we need to know:
The three main trigonometric ratios are sine, cosine and tangent:
[tex]\displaystyle sin\theta=\frac{opposite}{hypotenuse}[/tex] [tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex] [tex]\displaystyle tan\theta=\frac{opposite}{adjacent}[/tex]
"Opposite" refers to the side opposite the angle that is not the hypotenuse.
"Hypotenuse" refers to the side opposite the right angle of a right triangle.
"Adjacent" refers to the side next to the angle that is not the hypotenuse.
"θ" is read as "theta". It just represents the angle.
Keep in mind that these three ratios only apply to right triangles.
You can use the mnemonic "soh-cah-toa" to help you remember these ratios.
First question
For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.
Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:
[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Plug in the given information:
[tex]\displaystyle cos56=\frac{a}{13}[/tex]
Isolate a by multiplying both sides by 13:
[tex]13\displaystyle cos56=a[/tex]
Solve using a calculator:
[tex]a=7.3[/tex]
Therefore, a is equal to 7.3 when rounded to 1 decimal place.
Other information you will need to know:
In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:
[tex]\displaystyle sin\theta=\frac{5}{8}[/tex]
In this case, we will use the inverse sine ratio:
[tex]\displaystyle \theta=sin^-^1(\frac{5}{8})[/tex]
Solve using a calculator:
[tex]\displaystyle \theta=39[/tex]
Therefore, the angle would equal approximately 39 degrees.
I hope this helps!
What is the width of a rectangular prism with a length of 24 inches and height of 10 inches and a volume of 2880 cubic inches?
Answer:
12
Step-by-step explanation:
you reverse the operations, you multiply LxWxH to get the volume, so you can do V/L/H to get the width. 2880 divided by 24 equals 120, and 120 divided by 10 equals 12, so therefore the width is 12. Hope this helps!
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
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”
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
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
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]
Evaluate.
(2a−1/3)÷b/15 when a=−3/5 and b=−6.75
Enter your answer as a simplified mixed number in the box.
Answer:
[tex]3 \frac{11}{27} \\ [/tex]
Step-by-step explanation:
[tex](2a - \frac{1}{3} ) \div \frac{b}{15} \\ (2 \times - \frac{3}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6}{5} - \frac{1}{3} ) \div \frac{ - 6.75}{15} \\ ( - \frac{6 \times 3}{5 \times 3} - \frac{1 \times 5}{3 \times 5} ) \div \frac{ - 6.75}{15} \\ ( \frac{ - 18 - 5}{15} ) \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \div \frac{ - 6.75}{15} \\ - \frac{23}{15} \times - \frac{15}{6.75} \\ \frac{23}{6.75} \\ \frac{23 \times 100}{6.75 \times 100} \\ \frac{2300}{675} = 3 \frac{11}{27} \\ [/tex]
Answer:
Step-by-step explanation:
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
What is the value of the y-intercept of the graph of f(x) = e^1-x – 1?
Answer:
(0, e-1) or (0, 1.718) to the nearest thousandth.
Step-by-step explanation:
The y-intercept occurs when x = 0 so here we have:
y = e^(1 - 0) - 1
= e - 1
So the y-intercept is the point (0, e-1)
Factorise
8f^2 + 7f
plz help! answer will get brainliest!!!
Answer:
f(8f + 7)
Step-by-step explanation:
8f^2 + 7f
= f(8f + 7)
The factor of 8f² + 7f is f(8f + 7).
What is factorization?Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.
Given:
An expression,
8f² + 7f.
To find the factor:
8f² + 7f,
= f(8f + 7)
Therefore, f(8f + 7) is the factor.
To learn more about the factorization;
https://brainly.com/question/28187946
#SPJ2
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.
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
Can someone find the slope of a line parallel to 5x+2y=6
Answer:
-5/2
Step-by-step explanation:
5x+2y=6
First, put the equation in slope-intercept form
y = mx+b where m is the slope and b is the y intercept
Subtract 5x from each side
5x-5x+2y=-5x+6
2y = -5x+6
Divide each side by 2
2y/2 = -5/2x +6/2
y = -5/2 x +3
The slope is -5/2x
Lines that are parallel have the same slope
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 :)
find the difference -4 -5
Answer:
-9
Step-by-step explanation:
Think about the Keep and change rule, since this is negative, the more negative numbers there are the more it will go deeper. -4 - 5 is -9 because just create a number line and place -4 one it, then jump backwards 5 times.
What is the product of 64and 35?
Answer:
99
Step-by-step explanation:
64
+ 35
= 99
This figure has two intersecting lines and a ray.
What is the value of x?
Enter your answer in the box.
x =
Answer:
The correct answer is 24
Step-by-step explanation:
K12 test
figure has two intersecting lines and a ray.
From this figure, the value of x= 24
Given :
Two intersecting lines and a ray. one angle is 110 degrees.
opposite to 111 degrees are 87 and x degrees
From the two intersecting lines, we know that vertical opposite angles are equal .
111 degrees and 87+x are vertical opposite angles
So, they are equal .
Lets make them equal and solve for x
[tex]111=87+x[/tex]
Now we subtract 87 on both sides and solve for x
[tex]111-87=87-87+x\\\\x=24[/tex]
So the value of x is 24 degrees
Learn more : brainly.com/question/68367
45 is what percent of 80?
what percent of 38 = 36.1
Answer:
Solution for What is 38 percent of 95: 38 percent *95 = (38:100)*95 = (38*95):100 = 3610:100 = 36.1. Now we have: 38 percent of 95 = 36.1.
Step-by-step explanation:
Answer:
percent grade
89%, 70%, 60%
Step-by-step explanation:
2, 98.2, 2/8, 4/6
3[(5x + 1) - 2) = 2(4x - 3)
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Exact Form:
x=−3/7
Decimal Form:
x=−0.¯¯¯¯¯¯¯¯¯¯¯428571
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.
In a class of 30 children, 60% of the children are girls. How many of the girls are there in class? 18
You are correct!
20 Characters
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
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.