Answer:
B) m = -11/4
Step-by-step explanation:
What is the solution to the equation 1/sqrt(8) = 4^(m+2)
1 over the square root of 8 = 4^(m + 2)?
A) m = − 15 / 4
B) m = − 11 / 4
C) m = 5 / 4
D) m = 9 / 4
1/sqrt(8) = 4^(m+2) apply law of exponents
1/2^(3/2) = (2^2)^(2m+4)
2^(-3/2) = (2)^(2m+4)
-3/2 = 2m+4
2m = -11/2
m = -11/4
ASAPPPPPP
What are the zeros of this function?
A. X4 and x 6
B. X-6 and x = 5
C. X-6 and xs-4
D. X 0 and x 4
You can buy 5 stickers for $3. Write a proportion that gives the
cost c if you buy 12 stickers.
Answer:
$7.5
Step-by-step explanation:
Let
Quantity of stickers=x
Price of stickers=y
5 stickers cost $3
12 stickers cost $y
x/y = x/y
5/3 = 12/y
Cross product
5y=12*3
5y=36
Divide both sides by 5
5y/5 = 36/5
y=7.5
12 stickers= $7.5
Therefore, the price of 12 stickers= $7.5
Verify the identity. cot(x - pi/2) = -tan(x)
Answer:
See below.
Step-by-step explanation:
[tex]\cot(x-\frac{\pi}{2})=-\tan(x)[/tex]
Convert the cotangent to cosine over sine:
[tex]\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)[/tex]
Use the cofunction identities. The cofunction identities are:
[tex]\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)[/tex]
To convert this, factor out a negative one from the cosine and sine.
[tex]\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)[/tex]
Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:
[tex]\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)[/tex]
Simplify the expression: 3⋅6−2+2
Hi there! Hopefully this helps!
-----------------------------------------------------------------------------------------------------
Answer: 18.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~|
|3 × 6 - 2 + 2.
|
|Multiply 3 and 6 to get 18
\/
18 - 2 + 2 = 18
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Subtract 2 from 18 to get 16.
16 + 2 = 18.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Then, add 16 and 2 to get, you guessed it, 18!Find the angle between the Crocodile River and the road. Show your work, and round your answer to the nearest tenth of a degree. Need help ASAP.
Answer:
63.4°
Step-by-step explanation:
Use the right triangle with vertices (0, 4), (6, 4), and (6, 7).
We are looking for the measure of the interior angle of the triangle at vertex (6, 7).
Call that angle, <A.
tan A = opp/adj
tan A = 6/3
A = 63.4°
The angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The equation of the straight line that goes through the points (0, 4) and (6, 7),
First, let's calculate the slope:
m = (7 - 4) / (6 - 0) = 3/6 = 1/2
Now we can use the point-slope formula with the point (0, 4) and slope m = 1/2:
(y - 4) = (1/2)(x - 0)
y = (1/2)x + 4
Next, we need to find where this line intersects the Crocodile River, which is represented by the x-axis.
Setting y = 0 in the equation above, we get:
0 = (1/2)x + 4
x = -8
So, the Serengeti Stream flows into the Crocodile River at the point (-8, 0).
The slope of the Serengeti Stream at (6, 7) is:
m = (7 - 4) / (6 - 0) = 1/2
The slope of the line perpendicular to the Serengeti Stream at (6, 7) is the negative reciprocal of the slope of the Serengeti Stream:
m_perpendicular = -1/m = -1/(1/2) = -2
So the equation of the line perpendicular to the Serengeti Stream at (6, 7) is:
(y - 7) = (-2)(x - 6)
y = -2x + 19
The arctangent of the slope:
angle = arctan(-2)
angle ≈ -63.4° (CCW)
Therefore, the angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.
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-10 + (-15) =
+
what do i do first
Answer:
-15 then -10 = -25 we can only take one sign that accompanies the -10 and put in front of the brackets.
Step-by-step explanation:
-10 + (-15) = -25
just like (-15) -10 = 25
This is because ( ) is order of parenthesis Brackets first.
Answer:
-10 + (-15) is -25 and you do subtraction first.
Step-by-step explanation:
Since negative + negative is negative, you ignore the plus sign and continue with the equation. So -10 minus -15 is -25.
the adult human brain represents 2% of total body weight. write this percentage as a decimal.
Answer:
2% = 0.02Step-by-step explanation:
[tex]2\%=2\cdot\frac1{100}=\frac2{100}=0.02[/tex]
Answer:
2% as a decimal is 0.02
Step-by-step explanation:
simplify 3^2/3 x 3^4/5
Answer: [tex]243/5[/tex]
[tex]3^2/3(3^4)/5\\=9/3(3^4)/5\\=3(3^4)/5\\=(3)(81)/5\\=243/5[/tex]
If an arrow is shot upward on Mars with a speed of 62 m/s, its height in meters t seconds later is given by y = 62t − 1.86t². (Round your answers to two decimal places.) Estimate the speed when t = 1. Can you please show me the steps to solve this?
Answer:
Approximately [tex]58.28\; \rm m \cdot s^{-1}[/tex].
Step-by-step explanation:
The velocity of an object is the rate at which its position changes. In other words, the velocity of an object is equal to the first derivative of its position, with respect to time.
Note that the arrow here is launched upwards. (Assume that the effect of wind on Mars is negligible.) There would be motion in the horizontal direction. The horizontal position of this arrow will stays the same. On the other hand, the vertical position of this arrow is the same as its height: [tex]y = 62\, t - 1.86\, t^2[/tex].
Apply the power rule to find the first derivative of this [tex]y[/tex] with respect to time [tex]t[/tex].
By the power rule:
the first derivative of [tex]t[/tex] (same as the first derivative of [tex]t^2[/tex] (same as [tex]t[/tex] to the second power) with respect toTherefore:
[tex]\begin{aligned}\frac{dy}{d t} &= \frac{d}{d t}\left[62 \, t - 1.86\, t^2\right] \\ &= 62\,\left(\frac{d}{d t}\left[t\right]\right) - 1.86\, \left(\frac{d}{d t}\left[t^2\right]\right) \\ &= 62 \times 1 - 1.86\times\left(2\, t) = 62 - 3.72\, t\end{aligned}[/tex].
In other words, the (vertical) velocity of this arrow at time [tex]t[/tex] would be [tex](62 - 3.72\, t)[/tex] meters per second.
Evaluate this expression for [tex]t = 1[/tex] to find the (vertical) velocity of this arrow at that moment: [tex]62 - 3.72 \times 1 =58.28[/tex].
Answer:
58.28 m/s
Step-by-step explanation:
y = 62t - 1.86t²
Speed, S = dy/dt = 62 - 2(1.86)t
S = 62 - 3.72t
When t = 1
S = 62 - 3.72 = 58.28 m/s
A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school collected during the two days. {12x + 4y = 15232x + 12y = 420 In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch. Which is the cost of the vegetarian lunch?
Answer:
11
Step-by-step explanation:
The two equations appear to be ...
12x +4y = 15232x +12y = 420These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
_____
Comment on Cramer's Rule
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.
Answer:
11
Step-by-step explanation:
quick mafs
How do the number line graphs of the solutions sets of Negative 23 greater-than x and x greater-than-or-equal-to negative 23 differ?
Answer:
For "Negative 23 greater-than x" , highlight the left half of the number line starting at -23 and use a parenthesis ) on -23.
For "x greater-than-or-equal-to negative 23", highlight the right half of the number line starting at -23, and use a square bracket [ on -23.
Step-by-step explanation:
Start by locating the number -23 on the number line. Please see attached image to accompany the explanation.
In the first case: "Negative 23 greater-than x" , which is expressed mathematically as:
[tex]-23 >x[/tex]
notice that "x" has to be strictly smaller than the number -23, therefore those sought x values must reside to the left of the number -23, so we have to highlight that half of the number line. Apart from that, we need to include a symbol on top of the number -23, that indicates that -23 itself shouldn't be considered as part of the set, that symbol is by convention a parenthesis ).
In the second case: "x greater-than-or-equal-to negative 23", which is expressed mathematically as:
[tex]x\geq -23[/tex]
notice that "x" has to be greater than or equal to the number -23, therefore those sought x values must reside to the right of the number -23, so we have to highlight that half of the number line. Apart from that, we need to include a symbol on top of the number -23, that indicates that -23 itself should be considered as part of the set, that symbol is by convention a square bracket [.
Answer:
the answer is A
Step-by-step explanation:
HELP! SUPER URGENT!
A water sports store hires out wetsuits and diving equipment. The cost to hire a wetsuit is one-third of the cost to hire diving equipment.
Dave hired both a wetsuit and diving equipment for the same length of time and paid a total of $144.
How much did he pay for the hire of the wetsuit in dollars?
Answer:
Let the cost of hiring diving equipment be X
Given,
cost of hiring diving equipment=X
cost of hiring wet suit =1/3 of X
Total cost of both =$144
Now,
X+1/3X=$144
or, (3X+X)/3=$144 ( taking l.c.m.)
or, 4X/3=$144
or, 4X=$144*3
or, X=$432/4
or, X=$108
Therefore, he paid $36 which is 1/3 of x to hire wetsuit.
Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that costs \$2.75$2.75dollar sign, 2, point, 75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \$11.50$11.50dollar sign, 11, point, 50.
Answer:
2.75+11.50S[tex]\leq[/tex]55
4
Step-by-step explanation:
The Total amount of money Alonso went to the market with is: = $55
Items to be bought includes:
eggssugarAlonso knows that:
A pack of 12 eggs costs = $2.75 Now, he wants to use the remaining amount to purchase as much sugar as possibleRequirement for his taste for sugar:
a box of sugar he likes = $11.50From this information, the objective would be to determine the number of sugar he can purchase with the money left after he has already bought the eggs.
To start with, the amount of money left after buying the eggs is:
= $55 - $2.75
= $52.25
Now, if a box of sugar he likes cost = $11.50
Then he will be able to purchase (x( bost of sugar with = $52.50
Now, to determine the number of boxes of sugar he can purchase, we have:
1 box of sugar = $11.50
x(box) of sugar = $52.25
∴
[tex]\mathbf{x (box) of sugar = \dfrac{\$52.25 \times 1 box of sugar }{\$11.50}}[/tex]
x = 4.5 box of sugar
Therefore, after buying a pack of 12 eggs for = $2.75, Alonso will be able to buy [tex]\mathbf{ 4\dfrac{1}{2}}[/tex] or 4.5 boxes of sugar.
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Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U
Answer:
m∠U = 103° and m∠TRS = 6°
Step-by-step explanation:
In the given circle O,
Since, RS║VU, and VR is a transverse,
Therefor, m∠V + m∠R = 180° [Consecutive interior angles]
m∠R + 103° = 180° [m∠R = 103° given]
m∠R = 180° - 103°
m∠R = 77°
Since m∠R = m∠VRT + m∠TRS
77° = 71° + m∠TRS
m∠TRS = 77° - 71° = 6°
Quadrilateral RTUV is a cyclic quadrilateral.
Therefore, m∠U + m∠R = 180°
m∠U + 77° = 180°
m∠U = 180° - 77° = 103°
help w−3/4=8 a) 5 b) 35 c) 29 d) -1
Answer:
w = 35/4
im not exactly sure why the options are whole numbers.
Step-by-step explanation:
8 = w-3/4
-w + 8 = -3/4
-w = -3/4 - 8
-w = -3/4 - 32/4
-w = -35/4
w = 35/4
How to solve this Pythagoras’
Answer:
Step-by-step explanation:
Hypotenuse = Length of ladder = 10m
Distance between wall and end of the ladder at ground = leg ² = 2 m
Height of wall = x m
Use Pythagorean theorem
leg² +x² = 10²
2² + x² = 100
4 +x² = 100
x² = 100 -4
x² = 96
x = √96
x = 9.7979
x = 9.798 m
3a + 7 b = 2
2a + 9 b = 15
solve this linear equations using elimination method
please show your working ✨✨ THANK YOU
Answer:
a = -87/13
b = 41/13
Step-by-step explanation:
3a + 7b = 2
2a + 9b = 15
You need to have one of the coefficients have the same number but the opposite sign in both equations. Multiply the first equation by -2 and the second equation by 3. You will then be able to cancel out a and solve for b.
-2(3a + 7b) = -2(2)
-6a - 14b = -4
3(2a + 9b) = 3(15)
6a + 27b = 45
-6a - 14b = -4
6a + 27b = 45
0a + 13b = 41
13b = 41
b = 41/13
Plug in the b-value into one of the given equations and solve for a.
3a + 7b = 2
3a + 7(41/13) = 2
3a + 287/13 = 2
3a = -261/13
a = -87/13
Are these proportional? 10 books for $4.50; 15 books for $6.00
Answer:
no
Step-by-step explanation:
5 books are $2.50, mean that 10 books should only be $4.00 not $4.50. Also making the 15 for $6.00 only $5.50. All because 5 books would be $2.50.
Help me again please
Answer:
answer C (0,-9)
Step-by-step explanation:
the line passes through (0,-9)
if the mean of 3 2 x 11 13 14 is 8 find the value of x
Answer:
x=5
Step-by-step explanation:
To find the mean, add up all the numbers and then divide by the number of numbers
(3+ 2+x+ 11+ 13+14)/6 = 8
Multiply each side by 6
(3+ 2+x+ 11+ 13+14) = 48
Combine like terms
43+x = 48
Subtract 43 from each side
x =5
Answer:
[tex]\huge \boxed{{x=5}}[/tex]
Step-by-step explanation:
The mean is the average value of a data set.
[tex]\displaystyle \sf mean = \frac{sum \ of \ terms}{number \ of \ terms}[/tex]
The mean is given solve for x.
[tex]\displaystyle 8 = \frac{3+2+x+11+13+14}{6}[/tex]
Multiply both sides by 6.
[tex]\displaystyle 8(6) = \frac{3+2+x+11+13+14}{6} \times (6)[/tex]
[tex]48=3+2+x+11+13+14[/tex]
Combine the numbers on the right side of the equation.
[tex]48=x+43[/tex]
Subtract 43 from both sides.
[tex]48-43=x+43-43[/tex]
[tex]5=x[/tex]
Which is a factor pair of 72? 1. 12, 6 2. 14, 5 3. 23, 4. 24, 2
Answer:
1. 12, 6
Step-by-step explanation:
Your answer is 1. because you need to multiply them together to get the answer. In this case all you do is 12 × 6 = 72
Hope this helps!
If sin Θ = 5 over 6, what are the values of cos Θ and tan Θ?
Answer:
Check explanation
Step-by-step explanation:
Sin∅=5/6
Opp=5. Hyp=6
Adj= (√6²+5²)
= √11
Cos∅=(√11)/6
Tan∅=5/(√11)
Which value is equivalent to
(7•5•2)^2 X ( 5^0 ) X 2-^9?
( 7•3 ) ( 2-^3)
Answer:
[tex]\frac{25}{144}[/tex]
Step-by-step explanation:
[tex](\frac{7 * 5 * 2}{7 * 3} )^2 * (\frac{5^0}{2^-3})^3 * 2^{-9}[/tex]
Simplified becomes;
[tex](\frac{10}{3})^2 * 2^3 * \frac{1}{2^9}[/tex]
Simplifying further gives; [tex]\frac{25}{144}[/tex]
how many squares would be in the 7th pattern?
Answer: I believe in would be 28.
Explanation:
Answer:
I would say that there would be 28 squares in the 7th pattern.
Step-by-step explanation:
If you look at how the pattern is gradually increasing every time you add the number located at the bottom to the previous pattern. So if that is the rule then you would add 7 more squares to the 21 squares in the 6th pattern. Then you add
21 + 7 and you get 28.
Ex: In the first pattern there is 1 square and then in the 2nd pattern you see that there is an additional 2 squares which is the number at the bottom of the actual pattern.
*Idk if this is the actual rule to the pattern so please do not come for me if I am wrong but this is the way my brain sees the patterns in the picture. I also went ahead and tried my theory for all the patterns in the picture and it works :)
I really hope that this helps you understand the question a bit more! :)
A result of a number, what decreased by 15% equal 161. Find that number.
Answer: 189.41
Step-by-step explanation: Let’s take the number as n and if nx(100-15)/100=161 then 85n/100=161 and therefore n= 181.4117
I don’t know why the answer is in decimal as mostly it won’t be. Maybe you have made a mistake with the question so pls do check the question too!
Use the drawing tool(s) to form the correct answer on the provided graph. The function f(x) is shown on the provided graph. Graph the result of the following transformation on f(x). f(x) + 6
Answer:
[tex]f(x)=x+6 \\[/tex]
Step-by-step explanation:
The transformation is a translation 6 units up.
[tex]f(x)=x+6 \\[/tex]
We can use the parent function f(x)=x, which is a linear function to graph this function.
Then just translate the function 6 units up.
Answer:
on the x-axis to the left -1 and on the y-axis up 4
Step-by-step explanation:
Start from the -2 on the y-axis and go up on the y-axis 6 times and you should be at 4 on the y-axis. But to finish the problem you have to figure out the first line.
To do that start from the -2 on the y-axis then count up till its on a corner in the graph (rise 4 up on the y-axis then to the right once) so the fraction is 4/1
so rise 6 on the y-axis, you should be at 4 then use the formula rise/run 4/1
step 1 go up 6 times y-axis
step 2 use 4/1 rise from the 4 on the y-axis the run 1 to the right
It was 100% when I did it
Henry gathered data about the types of nuts in five handfuls of mixed nuts. The data he gathered is shown in the table. Select the points that represent this data.
Answer:
Look below.
Step-by-step explanation:
The location of the coordinate plane will be shown in the graph.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space.
Henry gathered data about the types of nuts in five handfuls of mixed nuts.
The data he gathered is shown in the table.
Handful Number of peanuts Number of other nuts
A 9 7
B 6 5
C 8 9
D 5 7
E 7 4
The graph is shown below.
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guy i need help with this question also i got lik 20 more questions coming yall way
Answer:
A
Step-by-step explanation:
A linear function is a straight line
b,c,d all have curves so they are not linear functions
Which of these functions could have the graph shown below?
O A. f(x) = e^30x
O B. f(x) = 30^30x
O C. f(x) = 30^x
O D. f(x) = 30e^x
The functions could have the graph shown below will be y = 30eˣ. Then the correct option is D.
What is an exponent?Let a be the initial value and x be the power of the exponent function and e be the increasing factor.
The exponent is given as
y = a(e)ˣ
From the graph, the value of the exponent function at x = 0, will be 30.
Then the function will be
30 = a(e)⁰
30 = a
Then the exponent function is given as,
y = 30eˣ
Thus, the functions could have the graph shown below will be y = 30eˣ.
Then the correct option is D.
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The number of dollars in Teo's bank
account on Tuesday was 3 times as
much as the amount on Friday. How
many dollars were in the account on
Friday?
Answer:
y = $ x/3
Step-by-step explanation:
Let the amount of dollars in Teo's bank on Tuesday be $x and the amount in his bank on Friday be $y.
If the number of dollars in Teo's bank account on Tuesday was 3 times as
much as the amount on Friday, this can be represented mathematically as;
x = 3y where y is the amount in his bank on Friday.
The amount of dollars in his account on friday will be gotten by dividing both sides of the equation by 3
3y = x
3y/3 = x/3
y = x/3
Hence the amount of dollars in his account on Friday is y = $ x/3
