What's greater -5/7 or -2/7
I think -2/7.
-2/7 is closer to 0 which is neither positive nor negative.
-5/7 is closer to a whole negative number.
How many oz. of a metal containing 40%
gold must be combined with 7 oz. of a
metal containing 90% gold to form an
alloy containing 75% gold?
Answer:
3 oz
Step-by-step explanation:
Let x represent the number of oz. of the medal with 40% gold:
Set up an equation and solve for x:
0.4x + 7(0.9) = 0.75(x + 7)
0.4x + 6.3 = 0.75x + 5.25
6.3 = 0.35x + 5.25
1.05 = 0.35x
3 = x
So, you will need 3 oz. of the metal with 40% gold
Ray EF is the bisector of angle AET. Find the measure of angle FEA.* 70° E A Your answer
Answer:
<FEA is 70 degrees. It is already given.
geometry is experienced that in the early childhood setting through
playing with blocks??
Solve each system of equations algebraically x-y=6 y=-1
Answer:
x-(-1)=6
-x=6
-x/-1 6/-1
x=-6
Answer:
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
Step-by-step explanation:
Given the system of equations
[tex]x-y=6;\:y=-1[/tex]
solving
[tex]\begin{bmatrix}x-y=6\\ y=-1\end{bmatrix}[/tex]
[tex]\mathrm{Subsititute\:}y=-1[/tex]
[tex]\begin{bmatrix}x-\left(-1\right)=6\end{bmatrix}[/tex]
[tex]\begin{bmatrix}x+1=6\end{bmatrix}[/tex]
Isolate x for [tex]x+1=6[/tex]
[tex]x+1=6[/tex]
[tex]x=5[/tex]
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
8.9 x 7 can u solve it with work shown
Answer:
62.3
Step-by-step explanation:
6
8.9
*7
____
62. 3
I tried to show how to do it but carry the 6 at the top
Answer:
64 (I rounded btw)
Step-by-step explanation:
8.9 × 7 = ??
1. Round 8.9
2. 8.9 can be rounded to 9
3. change equation
4. 9×7= 63
Thus, your answer is 63
(If your supposed to do the math differently tell me and I'll correct it)
D. Evaluate each of the following. (5 points)
Let f(x) =x+1/x
1. f(1)
2. (f •f)(1)
3. (f•f•f)(1)
4. (f•f•f•f)(1)
5. (f•f•f•f•f)(1)
Problem 1
f(x) = x + 1/x
f(1) = 1 + 1/1
f(1) = 1 + 1
f(1) = 2
Answer: 2
============================================
Problem 2
(f o f)(1) = f( f(1) )
(f o f)(1) = f( 2 )
(f o f)(1) = 2 + 1/2
(f o f)(1) = 4/2 + 1/2
(f o f)(1) = 5/2
Answer: 5/2
============================================
Problem 3
(f o f o f)(1) = f( f(f(1)) )
(f o f o f)(1) = f( (f o f)(1) )
(f o f o f)(1) = f( 5/2 )
(f o f o f)(1) = 5/2 + 1/(5/2)
(f o f o f)(1) = 5/2 + 2/5
(f o f o f)(1) = 25/10 + 4/10
(f o f o f)(1) = 29/10
Answer: 29/10
============================================
Problem 4
(f o f o f o f)(1) = f( f(f(f(1)) )
(f o f o f o f)(1) = f( (f o f o f)(1) )
(f o f o f o f)(1) = f( 29/10 )
(f o f o f o f)(1) = 29/10 + 1/(29/10)
(f o f o f o f)(1) = 29/10 + 10/29
(f o f o f o f)(1) = 841/290 + 100/290
(f o f o f o f)(1) = 941/290
Answer: 941/290
============================================
Problem 5
(f o f o f o f o f)(1) = f( f(f(f(f(1)))) )
(f o f o f o f o f)(1) = f( (f o f o f o f)(1) )
(f o f o f o f o f)(1) = f( 941/290 )
(f o f o f o f o f)(1) = 941/290 + 1/(941/290)
(f o f o f o f o f)(1) = 941/290 + 290/941
(f o f o f o f o f)(1) = 885481/272890 + 84100/272890
(f o f o f o f o f)(1) = 969581/272890
Answer: 969581/272890
A function assigns the values. The value of (f•f•f•f•f)(1) is 969581/272890.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
1.)
The value of f(1) for the given function f(x) =x+1/x can be calculated as shown below,
f(x) = x + 1/x
f(1) = 1 + 1/1
= 1 + 1
= 2
2.)
(f · f)(1) = f( f(1) )
Since the value of f(1)=2, therefore, it can be rewritten as,
(f · f)(1) = f(2)
= 2 + 1/2
= 4/2 + 1/2
= 5/2
3.)
(f · f · f)(1) = f( f(f(1)) )
Since the value of f(f(1))=5/2, therefore, it can be rewritten as,
(f · f · f)(1) = f( (f·f)(1) )
= f( 5/2 )
= 5/2 + 1/(5/2)
= 5/2 + 2/5
= 25/10 + 4/10
= 29/10
4.)
(f · f · f · f)(1) = f( f(f(f(1)) )
Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,
(f · f · f · f)(1) = f( (f·f·f)(1) )
= f( 29/10 )
= 29/10 + 1/(29/10)
= 29/10 + 10/29
= 841/290 + 100/290
= 941/290
5.)
(f · f · f · f · f)(1) = f( f(f(f(f(1)))) )
Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,
(f o f o f o f o f)(1) = f( (f·f·f·f)(1) )
= f( 941/290 )
= 941/290 + 1/(941/290)
= 941/290 + 290/941
= 885481/272890 + 84100/272890
= 969581/272890
Hence, the value of (f•f•f•f•f)(1) is 969581/272890.
Learn more about Function here:
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Function f is defined by the equation f(x)=x2
What is f(3)
What is the value of the expression shown below?
Please use the photo for whole question, it shows the answers.
Answer:
It should be
Step-by-step explanation:
B.23 1/42) f(x) = 27x^6+ 1524x^3+125
Answer:
Step-by-step explanation:
Let x^3 = y
f(x) = 27(x^3)^2 + 1524(x^3) + 125
f(x) = 27 y^2 + 1524y + 125
You can now put this into the quadratic formula. When you do, you get
(y + 0.0821)(y+56.3623) = 0
So now you substitute x^3 into this
(x^3 + 0.0821)(x^3 + 56.3623)
x^3 + 0.0821 = 0
x^3 = - 0.0821
cuberoot x^3 = cube root 0.0821
x = - 0.4346
x^3 = - 56.3623
x = - 3.8341
You can spend no more than $100 on a party you are hosting the cost per guest is eight dollars what is the number of the guests
Answer:
its.12.5
Step-by-step explanation:
but if you round it up it can be either 13 or 12 but i would stick with 12 cause you cant round it up for guests since you know real life and if you stay at 12 they hey stay at 12
Answer:
12
Step-by-step explanation:
100÷8=12.5
can't have half of a person
6th grade math I mark as brainliest
Answer:
false
Step-by-step explanation:
Exponents is basically that number multiplied by itself however many times the number on top is , so lemme just give a quick example, [tex]7^4[/tex] would be 7*7*7*7=2401
so
[tex]16^1[/tex] would just be sixteen because any number to the power of 1 is that number
[tex]8^2[/tex] is 8*8 which gives us 64,
16 does not equal 64, so its
False
If you have 3 cups of pineapple juice, how many total cups of lunch can you make?
Find the value of X. Geometry!!!
Answer:
D. 19
Step-by-step explanation:
x+5 has to equal half of the base(3x-9)
I tried everything else. Those answers didn't work. 3*19-9=48 and 19+5=24
48/2=24 Therefore, the answer is D, 19
What is the value of a for the following circle in general form?
X^2+y^2+ax+by+c=0
Answer:
ANSWER: 8 A_P_E_X
Step-by-step explanation:
Plug the radius and the center point into the equation, and convert it to general form to get your answer.
The value of a is 4.
What is the standard equation of a circle?The standard equation of a circle is given by
(x -h)² + (y-k)² = r²
The equation given is
x² + y² +ax +by +c = 0
a = -h * 1
(h,k) represents the coordinate for the center of the circle
h = -4 , k =2
a = -(-4) *1 = 4
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If a snail travels at a rate of of a mile every of an hour,
what is the unit rate in miles per hour?
Answer:
1mph or 1 mile per hour
Step-by-step explanation:
simple
What is the solution to the inequality 7<=-3x-4
Answer:
The nearest option is -3 (negative 3)
So, Option B is correct.
Step-by-step explanation:
We need to solve the inequality [tex]7 \leq -3x-4[/tex]
Solving:
Step 1: Switching sides of inequality and reversing the inequality
[tex]-3x-4\geq 7[/tex]
Step 2: Adding 4 on both sides
[tex]-3x-4+4\geq 7+4\\-3x\geq 11[/tex]
Step 3: Dividing both sides by -3 and reversing the inequality
[tex]\frac{-3x}{-3}\leq \frac{11}{-3} \\x\leq -3.6\\[/tex]
The nearest option is -3 (negative 3)
So, Option B is correct.
The perimeter of a rectangle is 44 inches, and its area is 112 square inches. Find the length and width of the rectangle.
Answer:
14, 8
Step-by-step explanation:
Using the formulas
A= Length * Width (lw)
P=2(l+w)
l+w)
There are 2 solutions forl
l=P
4+1
4P2﹣16A=44
4+1
4·442﹣16·112=14in
l=P
4﹣1
4P2﹣16A=44
4﹣1
4·442﹣16·112=8in
Jane has 34 candles leftover from the last craft show and Brianna
has 2 candles. They are making more candles for the next show.
Jane makes 24 candles per hour and Brianna makes 32 candles per
hour. They are also going to use the candles left over from the last
show and want to have the same number of candles at their stalls for
this show. Let h represent the number of hours they need to work
for this.
Answer:
4 hours
Step-by-step explanation:
Given that the number of leftover candles for Jane = 34
and the number of leftover candles for Brianna = 2
Rate of candle making for Jane = 24 candles/ hour
Rate of candle making for Jane = 32 candles/ hour
As they work for h hours to make candles.
So, in h hours, the number of new candles made by Jane = 24h candles
For Jane, the total number of candles after h houres, including the leftover candles [tex]= 24h+34 \cdots(i)[/tex]
Similarly, in h hours, the number of new candles made by Brianna = 32h candles
For Brianna, the total number of candles after h houres, including the leftover candles [tex]= 32h+2 \cdots(ii).[/tex]
As they want to have the same number of candles at their stalls, so equating the numbers of candles from equations (i) and (ii), we have
[tex]24h+34=32h+2 \\\\\Rightarrow 32h-24h=34-2 \\\\\Rightarrow 8h=32\\\\[/tex]
[tex]\Rightarrow h=32/8=4[/tex] hours.
Hence, both need to work for 4 hours to have the same number of candles.
Pls help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pls
Help meeeeeee! If it’s correct you will get a something good!
Answer:
24/4=6
Step-by-step explanation:
In the model, there are 4 rows of 6 blocks. 24 total blocks divided by the 4 rows gives you six objects in each row.
HTH :)
Solve 2x^2 - 3x = 12 using the quadratic formula.
A) x = 3/4+√105/4i, x = 3/4-√105/4i
B) x = 3/4+√87/4i, x = 3/4-√87/4i
C) x = 3/4 + √87/4, x = 3/4-√87/4
D) x = 3/4 + √105/4, x = 3/4-√105/4
Answer:
[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]
Step-by-step explanation:
2x² - 3x - 12 = 0
Using the quadratic formula which is
[tex]x = \frac{ - b \pm\sqrt{ {b}^{2} - 4ac} }{2a} \\ [/tex]
From the question
a = 2 , b = - 3 , c = - 12
So we have
[tex]x = \frac{ - - 3\pm \sqrt{ ({ - 3})^{2} - 4(2)( - 12)} }{2(2)} \\ = \frac{3\pm \sqrt{9 + 96} }{4} \\ = \frac{3\pm \sqrt{105} }{4} \: \: \: \: \: \: [/tex]
Separate the solutions
We have the final answer as
[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]
Hope this helps you
5. Which of the following statements is true?
(a) Two acute angles can be complementary to each other
(b) Two obtuse angles can be complementary to each other
(c) Two right angles can be complementary to each other
(d) One obtuse angle and one acute angle can be complementary to each other
What is the x-intercept of the graph of - x = 5?
Answer:
x=-5
Step-by-step explanation:
The x-intercept is x=-5
Answer:-5
Step-by-step explanation:If you draw out the graph, it would be a vertical line at the point -5. Since you are asking for the x intercept, it would be -5
The completely factored form of z^5 + 4z^4 - 12z^3
Answer:
−108z 5−64z 3+3z 2−24z−384/6
Step-by-step explanation:i just looked it up.
pls help :( plssss plsss pls
Answer:
you can alwayd use desmos for graphing
Marie has a recipe that calls for 2 cups of flour for 3 dozen cookies. How much flour would she
need to make 60 cookies?
A 4 cups
B 3 3/4 cups
C 3 1/4 cups
D 3 1/3 cups
Find the value of x. Then, find the measure of each labelled angle.
x=_
(7x+10)°=_
(15x+16)°=_
Answer:
x = 7deg
Step-by-step explanation:
7x + 10 + 15x + 16 = 180 (angles adjacent to each other in a //polygon are supplementary)
22x = 154
x = 7deg
This is a question on polygons and angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Let f be a function such that f(2) ≤ f(x) for all values of x in the interval (0, 3). Does f(2) represent a relative minimum or a relative maximum?
Answer: f(2) is a relative minimum
This is because f(2) is the lowest y output for any given y = f(x) output on the interval [tex]0 < x < 3[/tex] which is what the interval notation (0,3) indicates.
Draw out a "parabolic" like shape where the lowest point occurs at (2, f(2)), where f(2) is unknown, but we at least know that x = 2. I put "parabolic" in quotes because it may not be a true parabola, but it looks like one. This lowest point only applies for the neighbor hood [tex]0 < x < 3[/tex].
Pi times 2444.57 divided by 344.5=?
Answer:
I think 22.2814177
Step-by-step explanation:
I used 3.14 that's what my teachers tell me to use sorry if it's wrong
Answer: 22.2927232313
Step-by-step explanation: *Pi = 3.14159265359
*3.14159265359 x 2444.57 = 7,679.84315319
*7,679.84315319 ÷ 344.5 = 22.2927232313
Hence, 22.2927232313 = 3.14159265359 x 2444.57 ÷ (344.5)