Answer: 484
===============================================
Work Shown:
First let's compute f(2). We replace every x with 2 and then use PEMDAS to simplify
f(x) = -x^4 + 5x - 4x^2
f(2) = -(2)^4 + 5(2) - 4(2)^2
f(2) = -16 + 5(2) - 4(4)
f(2) = -16 + 10 - 16
f(2) = -6 - 16
f(2) = -22
Then we square this result to find the value of [tex][ f(2) ]^2[/tex]
[tex]f(2) = -22\\\\\left[ f(2) \right]^2 = [ -22 ]^2\\\\\left[ f(2) \right]^2 = 484[/tex]
how do i know this is a rhombus
Answer: It's not a rhombus
It would be a rhombus if all four sides were the same length, but we don't have that. Side DE is longer than EF, because the opposite angles are larger. We have 75 > 72, so that's why DE > EF.
Can you help me please
Answer:
x = - 11Step-by-step explanation:
[tex] \frac{4}{x + 2} = \frac{12}{2x - 5} [/tex]Cross multiply
That's
4( 2x - 5) = 12( x + 2)
Expand the terms in the bracket
That's
8x - 20 = 12x + 24
Group like terms
8x - 12x = 24 + 20
- 4x = 44
Divide both sides by - 4
We have the final answer as
x = - 11Hope this helps you
Answer: x = -11
Step-by-step explanation:
First Cross product to reduce it
4(2x-5) = 12(x+2) Now apply the distributive property on each sides and solve for x.
8x - 20 = 12x + 24 Add 20 to both sides
+20 +20
8x = 12x +44 subtract 12x from both sides
-12x -12x
-4x = 44 Divide both sides by -4
x = -11
-x/3 >5 the sign is supposed to be greater than or equal to but I don’t have that option
Answer:
x ≤ -15
Step-by-step explanation:
-x / 3 ≥ 5
multiply by 3
-x ≥ 15
add x to both sides and subtract 15 from both sides
-15 ≥ x or x ≤ -15
In a jar there are red jelly beans and green jelly beans. In how many ways can you pick red jelly beans and the same number of green jelly beans?
Complete Question:
In a jar there are 19 red jelly beans and 10 green jelly beans. In how many ways can you pick 4 red jelly beans and the same number of green jelly beans?
Answer:
[tex]Both = 813960[/tex]
Step-by-step explanation:
Given
Red Jelly Beans = 19
Green = 10
Required
Select 4 out of 19 red jelly beans and 4 out of 10 green jelly beans
The keyword in the question is pick and this implies combination;
4 from 19 red jelly beans is calculated as follows
[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]
Where n = 19 and r = 4
[tex]^{19}C_4 = \frac{19!}{(19-4)!4!}[/tex]
[tex]^{19}C_4 = \frac{19!}{15!4!}[/tex]
[tex]^{19}C_4 = \frac{19 * 18 * 17 * 16 * 15!}{15! * 4 * 3 * 2 * 1}[/tex]
[tex]^{19}C_4 = \frac{19 * 18 * 17 * 16}{4 * 3 * 2 * 1}[/tex]
[tex]^{19}C_4 = \frac{93024}{24}[/tex]
[tex]^{19}C_4 = 3876[/tex]
Similarly;
4 from 10 green jelly beans is calculated as follows
[tex]^{10}C_4 = \frac{10!}{(10-4)!4!}[/tex]
[tex]^{10}C_4 = \frac{10!}{6!4!}[/tex]
[tex]^{10}C_4 = \frac{10 * 9 * 8 * 7 * 6!}{6! * 4 * 3 * 2 * 1}[/tex]
[tex]^{10}C_4 = \frac{10 * 9 * 8 * 7 }{4 * 3 * 2 * 1}[/tex]
[tex]^{10}C_4 = \frac{5040}{24}[/tex]
[tex]^{10}C_4 = 210[/tex]
Ways of selecting both is calculated as follows
[tex]Both = 3876 * 210[/tex]
[tex]Both = 813960[/tex]
p=x2-y2÷x2+xy
p equals to x square minus y Square divided by x square + X Y
Answer:
x2-y2?x2+xy=x-y/x
Step-by-step explanation:
as we know , x2-y2=(x+y)(x-y)
and in case of the denominator take x as a common one then we will get
(x+y)(x-y)/x(x+y)
=x-y/x its the answer
thank u
f(x)=15+x ; x=7 evaluating functions
Answer:
22
Step-by-step explanation:
[tex]f(x)15+x\\\\f(7)15+7\\\\\boxed{f(7)=22}[/tex]
Hope this helps.
There are 123,456 children living in a town. Out of which 64,456 are girls. Approximately, what is the total number of boys in the town?
Answer:
59,000
Step-by-step explanation:
123,456-64,456=59,000
2. Three more than four times a number is 15.
Answer:
The number is 3
Step-by-step explanation:
Let the number be x
Four times a number = 4 *x = 4x
Three more than four times a number = 4x + 3
4x +3 = 15
Subtract 3 from both sides
4x + 3 - 3 = 15 -3
4x = 12
Divide both sides by 4
4x/4x = 12/4
x = 3
-11=r+(-2) I need to solve this problem
Answer: -8=r
Step-by-step explanation:
Answer:
r= -9
Step-by-step explanation:
We are given the equation:
-11 = r+ (-2)
If we want to solve for r, we must isolate r on one side of the equation.
Let's simplify the right side. A + - can just be written as -
-11= r-2
2 is being subtracted from r. The inverse of subtraction is addition. Add 2 to both sides of the equation.
-11 + 2= r-2+2
-11+2=r
-9=r
r=-9
Let's check our solution. Plug -9 in for r and solve.
-11= -9 + (-2)
-11= -11
This checks out, so we know our solution is correct.
The solution to the equation -11=r+(-2) is r=-9
What's the expression with addition for -7-(-10)?
Answer:
3 is your answer
Step-by-step explanation:
-7-(-10)= 3
Answer:
[tex]\Huge \boxed{3}[/tex]
Step-by-step explanation:
-7-(-10)
Distribute the negative sign.
-7+10
Add the numbers.
3
If a sample is selected from a population, the sample mean is essentially guaranteed to be different from the population mean. In general, the naturally occurring difference between a sample statistic and the corresponding population parameter is called ____.
Answer:
Sampling Error
Step-by-step explanation:
We are told that the phenomenon is the naturally occurring difference between a sample statistic and the corresponding population parameter.
Now, it's sampling error because sampling error is simply defined as a deviation or difference in a sampled value as against the true population value due to the fact the sample is not a true representative of the population.
This is also similar to the definition given in the question.
Thus, it's sampling error!
Elena plans to ride her bicycle 5 miles to a park and then ride several times around a loop in a the park that is 3 miles long. Then she'll take the same way home. she wants to ride a total of 22 miles. The inequality 3t + 10 ≥ 22 models this situation, where t is the number of times Elena went around the loop. Solve the inequality. How many times does Elena need to go around the loop?
Answer:
Solution : 4 or more times
Step-by-step explanation:
As the inequality is given to us, it makes this a bit simpler.
3t + 10 ≥ 22 ( Subtract 10 on either side )
3t ≥ 12 ( Divide 3 on either side )
t ≥ 12 / 3 ≥ 4
And hence we have a solution of t ≥ 4. Elena will ride around the loop 4 or more times.
10. Working in the laboratory, a student finds the density of a piece of pure aluminum to be 2.850 g/cm3. The accepted value for the density of aluminum is 2.699 g/cm3. What is the student's percent error?
Answer: 5.6%
Step-by-step explanation:
Actual Value observed=2.850 g/cm3
Expected value=2.699 g/cm3
Error =Actual value - expected value
= 2.850-2.699
Error = 0.151
Error percent = [tex]\frac{Error}{Expected Value} 100%[/tex]%
=[tex]\frac{0.151}{2.699} *100\\0.056*100\\5.6[/tex]
The student's percent error is 5.6%
Whats the common difference?
Answer: The common difference is 8
Step-by-step explanation:
First Use the formula for the second to generate the first two numbers.
[tex]u_{n}[/tex] = 2^3n-2
Put in 1 for the first term and you will get 2 and the second term is 16 and to get from 2 to 16 you will multiply by 8.
If f(x) = 4x + 1, find f(3).
Replace x with 3. Then simplify
f(x) = 4x+1
f(3) = 4(3)+1
f(3) = 12+1
f(3) = 13
Answer:13
Step-by-step explanation:
You place 3 in place of x then multiply 4 and 3. You would get 12. Then you add 1. Which is 13.
3.26d+9.75d−2.65 help plzzzzzzz
Answer: Add 3.26 d and 9.75 d . 13.01 d − 2.65
Step-by-step explanation:
Answer:
13.01d-2.65
Step-by-step explanation:
Since you have to simplify it you have to get rid of them so just add 3.26d+9.75 and you get 13.01d and the minus 2.65
what is the greatest common fact of 9 and 22
Answer:
1
Step-by-step explanation:
the greatest common factor of 9 and 22 is 1.
[tex]if \: y = x {e}^{ {x}^{2} } [/tex]
[tex]prove \: that \: \frac{ {d}^{2} y}{ {dx}^{2} } - 2x \frac{dy}{dx} - 4y = 0[/tex]
Good Luck for 50 points!
Answer:
Hope it helps!
please mark me brainliest
Which of the following best defines an angle?
O A corner of a figure like a triangle or square
O Any object that has a vertex,
OTwo rays that share a common endpoint
O The point where two line segments intersect
Answer:
Third option
Step-by-step explanation:
The first definition is not as broad as it should be, therefore, while an angle does meet that criteria, it's not a general definition, hence, it is incorrect. The second one is incorrect as well because a parabola has a vertex, and it is certainly not an angle. This definition is not specific enough, so it will be eliminated. The last one is again, too specific. The third one is the best answer because it is broad enough while still being specific.
Write the equation of the line in slope-intercept form and identify the slope.
−5x + 10y = 20
Answer:
Slope = 1/2Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation is
- 5x + 10y = 20
To find the slope we must first write the equation in the form above
- 5x + 10y = 20
Move - 5x to the right side of the equation
10y = 5x + 20
Divide both sides by 10
We have
[tex]y = \frac{5}{10} x + \frac{20}{10} [/tex]
[tex]y = \frac{1}{2} x + 10[/tex]
Comparing with the general form of equation above
Slope / m = 1/2
Hope this helps you
-21+7u=28 solve for u
Answer:
u = 7
Step-by-step explanation:
-21 + 7u = 28
add 28 to both sides
7u = 49
divide by 7
u = 7
Answer:U=7
Step-by-step explanation:
One book has 84 pages. Another book has 210 pages. Which is the greatest common
factor of the number of pages in the two books?
Answer: 12 is the greatest common factor.
Step-by-step explanation:
Answer:
The answer is 14
Step-by-step explanation:
For what value or values of b is it true that |b| = -b
Answer:
b =0
Step-by-step explanation:
The only value where |b| = -b is when b=0
|0| = -0
0 = 0
Absolute value means non- negative
non-negative = negative
This is only true when we equal zero
Answer: b = 0 or anything negative (like b = -2)
So any value of b such that [tex]b \le 0[/tex]
==================================================
Explanation:
|b| is the distance from b on the number line to 0
The distance is never negative as negative distance does not make sense.
If b was some positive number, then |b| = b. For instance, |7| = 7. This shows 7 is seven units away from 0 on the number line.
----------
If b is negative or zero, then |b| = -b. Why? Because the result of |b| is the opposite of whatever negative b value you put in. For example, b = -2 leads to
|b| = |-2| = 2
while
-b = -(b) = -(-2) = 2
The two negatives cancel each other out to get a positive result.
This shows, |-2| = -(-2) = 2
Meaning that the location -2 is two units away from 0 on the number line.
In a football game, Jim's team gained 7 yards on the first play, lost 2 yards on the second play, and lost 10 yards on the third play. How many total yards did Jim's team gain or lose after three plays?
Answer:
team loss after three games is 5.
Step-by-step explanation:
we will use positive sign for gain and negative sign for loss.
Given
Jim's team gained 7 yards on the first play
gain of yards = +7
lost 2 yards on the second play
loss of yards = -2
lost 10 yards on the third play
loss of yards = -10
Total yards gain or lost by Jim's team = +7 + (- 2) + ( - 10)
Total yards gain or lost by Jim's team = +7 -2 -10 = -5
sine sign is negative, it means there is loss and the net loss is 7 yards.
Thus, team loss after three games is 5.
Ella is going to drive from her house to City A without stopping. Ella's house is 100 miles from City A and after driving for 3 hours, she will be 25 miles away from City A. Write an equation for D, in terms of t, representing Ella's distance from City A tt hours after leaving her house.
Answer:
[tex]d = 100-25t[/tex]
Step-by-step explanation:
Let's use basic logic here.
If we are 100 miles away from a place, and we've got 25 miles to go, we've already travelled 75 miles.
Since we've travelled 75 miles in 3 hours, then we travel at a rate of [tex]75\div3=25[/tex] miles per hour.
The distance to City A will be represented as 100 - miles already travelled. We can find how many miles have been travelled by multiplying 25 by [tex]t[/tex], the amount of hours we've spent driving.
This creates the equation [tex]d = 100 - 25t[/tex]
Hope this helped!
What is the measure of angle VYZ
Answer:
[tex] \boxed{\sf C. \ 161 ^{ \circ}} [/tex]
Step-by-step explanation:
Opposite angles are also congruent angles, meaning they are equal or have the same measurement.
[tex] \sf \implies \angle VYZ = \angle WYT \\ \\ \sf \implies(8x + 1) ^{ \circ} = (9x - 19)^{ \circ} \\ \\ \sf \implies 8x^{ \circ} + 1^{ \circ} = 9x^{ \circ} - 19^{ \circ} \\ \\ \sf \implies 8x^{ \circ} - 9x^{ \circ} + 1^{ \circ} = - 19^{ \circ} \\ \\ \sf \implies - x^{ \circ} = - 19^{ \circ} - 1^{ \circ} \\ \\ \sf \implies \cancel{ -} x^{ \circ} = \cancel{- }20^{ \circ} \\ \\ \sf \implies x^{ \circ} = 20^{ \circ} [/tex]
[tex] \therefore[/tex]
[tex] \sf \implies \angle VYZ =(8x + 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =(8 \times 20 + 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =( 160+ 1) ^{ \circ} \\ \\ \sf \implies \angle VYZ =161 ^{ \circ} [/tex]
write an expression
the quantity of 7+x, squared
Answer:
[tex]\huge \boxed{(x+7)^2 }[/tex]
Step-by-step explanation:
The quantity x + 7 is squared.
[tex](x+7)^2[/tex]
Expand the brackets and simplify the expression.
[tex](x+7)(x+7)[/tex]
[tex]x(x+7)+7(x+7)[/tex]
[tex]x^2 +7x+7x+49[/tex]
[tex]x^2 +14x+49[/tex]
We can leave the expression in factored form.
Answer:
( X+7 ) ^ 2
Step-by-step explanation:
=X ^ 2+ 2 x 7 x X + 7 ^ 2
= X^2 +14X +49
Use dimensional analysis to convert the measurements. A dwarf sea horse swims at a rate of 49.68 feet per hour. Convert this speed to inches per minute. The speed is inches per minute.
Answer:
9.936in/minStep-by-step explanation:
Given the rate at which a dwarf sea horse swims expressed as 49.68 feet per hour, to convert the speed to inches per minutes, the following conversion factors must be used.
1 foot = 12inches and 1 hour = 60 minutes
49.68 feet per hour can also be written as [tex]\dfrac{49.68* 1 ft}{1 hour}[/tex]
On conversion:
[tex]= \dfrac{49.68* 1 ft}{1 hour} * \dfrac{1 hour * 12 in}{1 ft * 60min} \\\\= \dfrac{49.68* 12in}{60 min} \\\\= \dfrac{596.16in}{60 min}\\\\= 9.936 in/min[/tex]
Hence the speed expressed in inches per minute is 9.936in/min
Asphere has a diameter of 10 in. What is the volume of the sphere?
Answer:[tex]\frac{500}{3}[/tex]π [tex]in^{3}[/tex]
Step-by-step explanation: diameter=10 in
radius=[tex]\frac{diameter}{2}[/tex]=[tex]\frac{10}{2}[/tex]=5 in
volume=[tex]\frac{4}{3}[/tex][tex]r^{3}[/tex]
=[tex]\frac{4}{3} X 5^{3}[/tex] x π =[tex]\frac{500}{3}[/tex]π [tex]in^{3}[/tex]
7n + 8 + 1= -19
How do you solve this
Answer:
-4
Step-by-step explanation:
firt you add a minus one on both sides:
7n + 8 + 1 + (- 1) = -19 + (- 1) => 7n + 8 = -20
then add a minus eight on both sides:
7n + 8 + (- 8) = -20 + (- 8) => 7n = -28
finally in order to find (n) , devide both sides by seven:
7n ÷ 7 = (- 28) ÷ 7 => [ n = -4 ]