Answer:
answer is 6
Step-by-step explanation:
f(x) = x2 - 4x
f(-3)= -3*2-4*-3
=-6-(-12)
=6
To paint a wooden cube, Pinocchio used 4 gram of paint. When it is dry, he cut the cube into 8 equal cubes of smaller size. How much paint additional paint does Pinocchio need to paint the unpainted surfaces of smaller cubes?
Answer:
game1321.netlify.app
Step-by-step explanation:
This is a test sorry I'm trying to see if you can post links in comments
Look at points C and D on the graph:
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (1 point)
2.83 units
4.00 units
11.31 units
64.00 units
Answer:
11.31 units
Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step 1.
Plug in the points inside the formula where the first point = [tex](x_1,y_1)[/tex] and the second point = [tex](x_2-y_2)[/tex]
Let the first point be C and the second point be D
[tex](-4,-5)\\ (x_1,y_1)[/tex] [tex](4,3)\\ (x_2,y_2)[/tex]
Answer: [tex]d=\sqrt{(4--4)^2+(3--5)^2}[/tex]
Step 2. Simplify the parentheses "( )"
Answer: [tex]d=\sqrt{(8^2)+(8^2)}[/tex]
Step 3. Simplify the exponents "[tex]?^2[/tex]"
Answer: [tex]d=\sqrt{64 +64}[/tex]
Step 4. Add 64 and 64
Answer: [tex]d=\sqrt{128}[/tex]
Step 5. Simplify the square root
Answer: [tex]d=11.31[/tex]
Therefore, the distance between points C and D is 11.31 units
-----------------------------------------------------------------------------
doomdabomb: all brainliest and thanks are appreciated and would mean a lot to me, thanks!
Kelly answered 3 items on a test incorrectly. This was 6% of the items. How many items were on the test?
Answer:
50
Step-by-step explanation:
6/100=3/y
Let y be the total number of items on the test
[cross multiply]
6×y =3×100
6y = 300
divide both sides by 6
y = 50
if f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function
Answer:
please see the steps in the picture
Could someone plz help
Answer:
The Answer would be 166
Step-by-step explanation:
From 115 to 132 is + 17
From 132 to 149 is + 17
So 149 + 17 = 166
Therefor your answer is 166
Taehyung was sitting on the ground flying a kite. He had 22 feet of line let out to fly his kite, and the kite was 14 feet in front of him. How high was the kite?
30^∘ Another boy is standing on the roof of a 10 second string be x mIn Δ ABC sin 30^∘ = AC/AB 1/2 = AC/100 AC =
Answer: hope this helps ♡
The kite was 16.9 feet high.
Step-by-step explanation:
Pythagorean theorem
b = [tex]\sqrt{c^{2} - a^{2} }[/tex]
b = [tex]\sqrt{22^{2} - 14^{2} }[/tex]
b = [tex]\sqrt{484 - 196}[/tex]
b = [tex]\sqrt{288}[/tex]
b = 16.9
please help y'all I'd greatllyyy appreciate itt!!!!!!!!!!! (no links)
Are the two triangles similar? If so, state the reason and the similarity statement.
Question options:
A)
Impossible to determine.
B)
Yes; SAS; ΔVWX ∼ ΔYZX
C)
Yes; SSS; ΔVWX ∼ ΔYZX
D)
The triangles are not similar.
============================================================
Explanation:
We can immediately rule out choice C because we don't have info about all three pairs of sides. So that's why we can't use the SSS rule.
We may be able to use SAS however. This rule says that if we know a pair of sides are proportional, and if the angles between them are congruent, then we have similar triangles.
However, note the jump from XZ = 2 to XW = 8 is "times 4" while the jump from XY = 3 to XV = 9 is "times 3". The two multipliers don't match up. We would need them to be the same for the sides to be proportional.
Put another way, the equation
8/2 = 9/3
is a false equation
If we tried the equation
8/3 = 9/2
then that's also false. No matter what combos we try, the sides aren't proportional.
So ultimately, we can't use SAS either. This eliminates choice B.
Consequently, it means that we know the triangles aren't similar. If they were similar, then we'd be able to use SAS to prove them to be so.
Therefore, we do have enough information to conclude that the triangles are not similar.
This is why choice D is the final answer.
find X. please I need help asap
Answer:
5.5
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
11*2 = x*4
22 = 4x
Divide each side by 4
22/4 = 4x/4
11/2 =x
Express 250g as a ratio of 2 kilograms
Graph the line that passes through the points (-1,-6) and (-8,8) and determine the equation of the line.
Answer:
y = -2x-8 ------> the equation of the line
Step-by-step explanation:
y = mx + b
8 = -2(-8)+b
= 16 + b
-16 -16
-----------
-8 = b
y^2 - y^1 / x^2 - x^1
= 8-(-6) / -8-(-1)
= -14/7
= m = -2
Final answer: y = -2x-8
Answer: 2x - 7y - 40 = 0
Step by step explanation:
(-1,-6) (-8,-8)
Slope (m) = y-y/x-x
m = (-8- -6)/(-8 - -1)
m = 2/7
y-y=m(x-x). Use one of the points: (-1,-6)
y - - 6 = 2/7 (x - - 1)
y+6=2/7(x+1)
y+6=2/7x+2/7
Multiply both sides by 7
7y+42=2x+2
2x—7y-40=0
Standard form =
20° + 2pº
70°
p =
degrees
[tex]\\ \sf\longmapsto 20°+2p=70[/tex]
[tex]\\ \sf\longmapsto 2p=70-20[/tex]
[tex]\\ \sf\longmapsto 2p=50[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{50}{2}[/tex]
[tex]\\ \sf\longmapsto p=25[/tex]
7000 cm² is the same area as
.......... m².
Answer:
1000cm²=0.1m²
so 7000cm²=0.7m²
Step-by-step explanation:
please mark me as brainliest
Answer:
0.7
Step-by-step explanation:
Make ratio:
1 square centimeter = 0.0001 square meter
x square meters = 7000 square centimeters
Multiply:
0.0001 × 7000 = 0.7
Hope this helped.
Solve the system by substitution.
y = -3x + 17
2x + 3y = -5
Answer:
(8, -7)
Step-by-step explanation:
Hi there!
We are given this system:
y=-3x+17
2x+3y=5
And we want to solve the system
Let's solve it by substitution.
In the first equation, we are given y=-3x+17, which we can substitute -3x+17 as y into the second equation
2x+3(-3x+17)=5
Now do the distributive property
2x+-9x+51=-5
Combine like terms
-7x+51=-5
Subtract 51 from both sides
-7x=-56
Divide both sides by -7
x=8
Now substitute 8 as the value of x in y=-3x+17 to find the value of y
y=-3(8)+17
y=-24+17
y=-7
The answer is x=8, y=-7. If you need it as a point, it's (8, -7)
Hope this helps!
I have a/some question(s) for yall,
1. What's the ratio of 30 freshmen to 100 seniors ? as a fraction in simplest form
2.give two equivalent ratios to 1/4
3. Adam has 12 pennies and Selene has 60 pennies whats the ratio of selenes pennies to adams pennies in simplest form?
Answer:
1. 30:100 = 30/100=3/10
2. 2:8, 3:12
3. 60:12 = 5:1 or 5/1
Step-by-step explanation:
the product of a number and four, increased by one, is at least 7.
Answer:
4/6
Step-by-step explanation:
a number which means "x" or u can name any variable u want
so the product of a number and four means
X×4
the increased by one or plus one
X×4+1
is at least 7
X(4)+1=7
4x+1=7
4x=7-1
4x=6
x=4/6
i guess so
lemme know if I'm right
Answer:
x≥3/2
Step-by-step explanation:
since we know that there is an unknown number being multiply with four, we're going to represent it as x:
(x*4)
It then multiply it with one:
(x*4)+1
And we know that it has to be 7 or greater than that:
(x*4)+1≥7
Now, we're going to do the math:
4 multiply with x is 4x
(x*4)+1≥7= 4x+1≥7
then, we're going to toss one to another side and minus it with seven
4x+≥7-1 = 4x+≥6
afterward, we divide everything by four to find what x is:
(4x+≥6)/4 = x≥3/2
Answer ASAP Please!
cos(13°) correct to four decimal places is:
A:0.2311
B:0.2312
C:0.9734
D:0.9735
E:0.9744
Answer:
E:0.9744
Step-by-step explanation:
Answer: E) 0.9744
Explanation:
This is something you'll need a calculator for. As far as I know, there isn't a clean formula that will allow you to compute this by hand, and get something like sqrt(3)/2. There is a way to find the decimal value by hand, but it will require knowledge of Taylor polynomials and it will take a very long while to compute the value. So again, it's better to use a calculator. When using a calculator, make sure it's in degree mode. You can check by computing cos(60) and you should get 0.5
Which equation represents a line which is parallel to y = 0?
Oy=3
= -8
Submit Answer
Oy=1-1
a = 4y
PLS HELP ASAP
Answer:
y = 3
Step-by-step explanation:
Both y = 3 and y = 0 have zero slopes. Therefore, they are parallel.
Rewrite as a simplified fraction.
3.2 = ?
(Repeating)
Answer:
Step-by-step explanation:
29/9 or 3 2/9
PLEAE help with this
Answer:
x = 67°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180 for x , that is
x = 180° - (38 + 75)° = 180° - 113° = 67°
Solve each of the following exponential equations using common bases:
1.) 4^(3x+5)=8^(4x-3)
2.) 9^(2x+3)=〖(1/27)〗^(3x+1)
3.) 4^(x+6)∙8^(x-9)=64
Answer:
x=19/6, x=-9/13, x=33/4
Step-by-step explanation:
1) 2^(6x+10)=2^(12x-9), 6x+10=12x-9, x=19/6
2) 3^(4x+6)=3^(-9x-3), 4x+6=-9x-3, x=-9/13
3) 2^(x+6)*2^(3x-27)=2^(6), 4x-27=6, x=33/4
Quick help with answers please!!
Answer:
x=pi/8 and 7pi/8
Step-by-step explanation:
2cos(2x)=sqrt(2), cos(2x)=1/sqrt(2). 2x=pi/4 and 7pi/4, x=pi/8 and 7pi/8
Given that f(x) = | x | is the parent function and that g(x) is the parent function reflected over the y-axis and contains a horizontal shrink by a factor of 1/3. Which of the following functions represents g(x)?
In geometry, several transformations (such as dilation, rotation, reflection, etc.) can be applied to move a parent function to a new function. The function that represents g(x) is [tex]g(x) = 3|x|[/tex]
Given that:
[tex]f(x) = |x|[/tex]
First, we reflect over the y-axis.
The rule of this transformation is: [tex](x,y) \to (-x,y)[/tex]
So, the function becomes
[tex]f'(x) = |-x|[/tex]
[tex]f'(x) = |x|[/tex]
Next, shrink horizontally by 1/3
The rule of this transformation is: [tex](x,y) \to (\frac{x}{a},y)[/tex]
Where:
[tex]a = \frac{1}{3}[/tex]
So, we have:
[tex]g(x) = |\frac{x}{1/3}|[/tex]
[tex]g(x) = |3x|[/tex]
[tex]g(x) = 3|x|[/tex]
Hence, the function that represents g(x) is [tex]g(x) = 3|x|[/tex]
Read more about function transformations at:
https://brainly.com/question/12865301
Dave solved a quadratic equation. His work is shown below, with Step 111 missing. What could Dave have written as the result from Step 111? \begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned} 3 1 (x+4) 2 x+4 x=−16 =48 =±12 or x=8 Step 1 Step 2 Step 3 Dave solved a quadratic equation. His work is shown below, with Step 111 missing. What could Dave have written as the result from Step 111? \begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned} 3 1 (x+4) 2 x+4 x=−16 =48 =±12 or x=8 Step 1 Step 2 Step 3
From the calculation above, Dave may have jumped the expression
[tex](x+4)^2= 144[/tex]
Given the expression solved by Dave from step 1 as;
[tex]\dfrac{1}{3}(x+4)^2&=48[/tex]
In order to determine what Dave would have written, we will solve the expression above as shown
[tex]\dfrac{1}{3}(x+4)^2&=48\\(x+4)^2 = 3*48\\(x+4)^2 = 144 ..............eqn \ 2\\[/tex]
Take the square root of both sides
[tex]\sqrt{(x+4)^2} =\pm\sqrt{144}\\x+4=\pm12[/tex]
Hence from the calculation above, Dave may have jumped the expression in equation 2 as shown below;
[tex](x+4)^2= 144[/tex]
Learn more on radical equations here: https://brainly.com/question/20931859
Answer:
previous answer is correct
Step-by-step explanation:
f(x) = 2[tex]x^{2}[/tex]+ x − 4 for x ∈R, a ≤ x ≤ a+3. If the range of the function f is −2 ≤ f(x) ≤ 16, find the possible values of a.
Answer:
No answer is possible
Step-by-step explanation:
First, we can identify what the parabola looks like.
A parabola of form ax²+bx+c opens upward if a > 0 and downward if a < 0. The a is what the x² is multiplied by, and in this case, it is positive 2. Therefore, this parabola opens upward.
Next, the vertex of a parabola is equal to -b/(2a). Here, b (what x is multiplied by) is 1 and a =2, so -b/(2a) = -1/4 = -0.25.
This means that the parabola opens upward, and is going down until it reaches the vertex of x=-0.25 and up after that point. Graphing the function confirms this.
Given these, we can then solve for when the endpoints of the interval are reached and go from there.
The first endpoint in -2 ≤ f(x) ≤ 16 is f(x) = 2. Therefore, we can solve for f(x)=-2 by saying
2x²+x-4 = -2
add 2 to both sides to put everything on one side into a quadratic formula
2x²+x-2 = 0
To factor this, we first can identify, in ax²+bx+c, that a=2, b=1, and c=-2. We must find two values that add up to b=1 and multiply to c*a = -2 * 2 = -4. As (2,-2), (4,-1), and (-1,4) are the only integer values that multiply to -4, this will not work. We must apply the quadratic formula, so
x= (-b ± √(b²-4ac))/(2a)
x = (-1 ± √(1-(-4*2*2)))/(2*2)
= (-1 ± √(1+16))/4
= (-1 ± √17) / 4
when f(x) = -2
Next, we can solve for when f(x) = 16
2x²+x-4 = 16
subtract 16 from both sides to make this a quadratic equation
2x²+x-20 = 0
To factor, we must find two values that multiply to -40 and add up to 1. Nothing seems to work here in terms of whole numbers, so we can apply the quadratic formula, so
x = (-1 ± √(1-(-20*2*4)))/(2*2)
= (-1 ± √(1+160))/4
= (-1 ± √161)/4
Our two values of f(x) = -2 are (-1 ± √17) / 4 and our two values of f(x) = 16 are (-1 ± √161)/4 . Our vertex is at x=-0.25, so all values less than that are going down and all values greater than that are going up. We can notice that
(-1 - √17)/4 ≈ -1.3 and (-1-√161)/4 ≈ -3.4 are less than that value, while (-1+√17)/4 ≈ 0.8 and (-1+√161)/4 ≈ 2.9 are greater than that value. This means that when −2 ≤ f(x) ≤ 16 , we have two ranges -- from -3.4 to -1.3 and from 0.8 to 2.9 . Between -1.3 and 0.8, the function goes down then up, with all values less than f(x)=-2. Below -3.4 and above 2.9, all values are greater than f(x) = 16. One thing we can notice is that both ranges have a difference of approximately 2.1 between its high and low x values. The question asks for a value of a where a ≤ x ≤ a+3. As the difference between the high and low values are only 2.1, it would be impossible to have a range of greater than that.
What is the solution for z?
24=z/0.6?
Answer:
[tex]z=14.4[/tex]
Step-by-step explanation:
One is given the following equation:
[tex]24=\frac{z}{0.6}[/tex]
Use inverse operations to solve this equation. Multiply both sides of the equation by (0.6) to undo the division of (0.6).
[tex]24=\frac{z}{0.6}[/tex]
[tex](0.6)(24)=z[/tex]
Simplify,
[tex](0.6)(24)=z[/tex]
[tex]z=14.4[/tex]
A boat travels 12 km upstream and 40 km downstream in 8 hours. It can go 16 km upstream and 32 km downstream in the same time. Find the speed of the boat in still water and the speed of the stream.
the speed of the boat is 5.418 km/h and the speed of the stream is 2.167 km/h
Let's define the variables:
B = speed of the boat in still water.
S = speed of the stream.
When the boat travels downstream, the total speed of the boat will be equal to the sum of the speed of the stream and the speed of the boat in still water:
speed = B + S
When the boat goes downstream, the speed will be:
speed = B - S
Now, also remember the relation:
speed*time = distance.
The given information is:
In 8 hours the boat can:
go 12 km upstream and 40km downstream.
We now need to define another variable, T, as the time that the boat travels upstream.
Then we can write this as:
12km = (B - S)*T
If the boat travels T hours upstream, and travels for a total of 8 hours, then the amount of time that travels downstream is 8h - T, then we can write:
40km = (S + B)*(8h - T)
Similarly, when we have:
"it can go 16 km upstream and 32 km downstream in the same time."
we can define a new variable T', and write:
16km = (B - S)*T'
32km = (S + B)*(8h - T')
Then we have a system of 4 equations:
16km = (B - S)*T'
32km = (S + B)*(8h - T')
40km = (S + B)*(8h - T)
12km = (B - S)*T
And we need to solve this for S and B.
To do it, we need to isolate one of the variables in one of the equations.
Let's isolate T in the last equation:
T = 12km/(B - S)
now we can replace that in the third equation to get:
40km = (S + B)*(8h - 12km/(B - S))
So now we have 3 equations:
16km = (B - S)*T'
32km = (S + B)*(8h - T')
40km = (S + B)*(8h - 12km/(S - B))
Now we need to do the same thing, this time let's isolate T' in the first equation and replace it in the second one:
T' = 16km/(B - S)
Replacing it in the second equation we get:
32km = (S + B)*(8h - T')
32km = (S + B)*(8h - 16km/(B - S))
So now we have two equations:
40km = (S + B)*(8h - 12km/(B - S))
32km = (S + B)*(8h - 16km/(B - S))
Let's simplify these:
40km = 8h*(S + B) - 12km*(S + B)/(B - S)
32km = 8h*(S + B) - 16km*(S+ B)/(B - S)
Now we can multiply both equations by (B - S) to get:
40km*(S - B) = 8h*(S + B)*(B - S) - 12km*(S + B)
32km*(S - B) = 8h*(S + B)*(B - S) - 16km*(S+ B)
Let's keep simplifying this:
40km*(B - S) + 12km*(S + B) = 8h*(S + B)*(B - S)
32km*(B - S) + 16km*(S+ B) = 8h*(S + B)*(B - S)
Now we get:
52km*B - 28km*S = 8h*(S^2 + B^2)
48km*B - 16km*S = 8h*(S^2 + B^2)
Notice that the right side of these equations is the same thing, then we can write:
52km*B - 28km*S = 48km*B - 16km*S
(52km - 48km)*B = (28km - 18km)*S
4km*B = 10km*S
B = (10/4)*S
B = (5/2)*S
Now we can replace this in one of our two equations, let's use the first one:
48km*B - 16km*S = 8h*(S^2 + B^2)
48km*(5/2)*S - 16km*S = 8h*( S^2 + ( (5/2)*S)^2)
Now we can solve this for S
104km*S = 8h*( S^2 + 25/4*S^2)
104km*S = 8h*(29/4*S^2) = 48h*S^2
104km*S = 48h*S^2
dividing at both sides by S we get:
104km = 48h*S
104km/48h = S = 2.167 km/h
And using B = (5/2)*S
We can find the speed of the boat:
B = (5/2)*2.167 km/h = 5.418 km/h
Then:
the speed of the boat is 5.418 km/h and the speed of the stream is 2.167 km/h
If you want to learn more about this topic, you can read:
https://brainly.com/question/17300107
if a = 4 - √15, find a^4 +1\a^4
Hey! Please answer this question with steps. I will mark you brainliest.
Random answers like 'sdfgh' or wrong answers will be reported
Answer:
[tex](\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]
Step-by-step explanation:
[tex]a=4-\sqrt{15}[/tex]
[tex]a^{4} +\frac{1}{a^{4} }\\=a^{2^{2} } +\frac{1}{a^{2^{2} } }\\\\=(x^{2} +\frac{1}{a^{2} } )^{2} -2a^{2} \frac{1}{a^{2} } \\=(a +\frac{1}{a } )^{2} -2a \frac{1}{a}-2\\=(4-\sqrt{15} +\frac{1}{4-\sqrt{15} }) ^{2} -4\\\=(\frac{16-15-4+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\=(\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]
please answer the below question. it would be wonderful if you could solve it as soon as possible
Step-by-step explanation:
think that the answer is 10° degrees
If x/y = 2/3 what is the value of 6x/y
If x/y = 2/3, then all we have to do is multiply x/y by 6. Another way to look at this (the same thing) would be to see 6 as 6/1, so 6 is multiplied by x, and y is multiplied by 1.
But, all the same, you multiply 6 by x/y and you get (2·6)/3 = 12/3 = 4
help me please answer all of them
Answer:
Below
Step-by-step explanation:
Front = 3 x 4 = 12 cm^2
Back = 3 x 4 = 12 cm^2
Right = 3 x 4 = 12 cm^2
Left = 3 x 4 = 12 cm^2
top = 3 x 3 = 9 cm^2
Add em all up : 57 cm^2
Hope this helped!
Answer: 57 cm^2
Step-by-step explanation:
4(3)(4)+(3)(3) = 57
