Answer:
False
Step-by-step explanation:
Simplify 3x^(1/2)*5x^(2/5)
Answer:
= 15x^9/10
Step-by-step explanation:
Multiply the numbers: 3 . 5 = 15
= 15x^1/2x2/5
Apply exponent rule: a^b . A^c = a^b + c
= 15x^1/2+2/5
1/2 + 2/5 = 9/10
= 15x^9/10
1 Mrs. Thiel has 178 papers to grade.
She graded 49 papers this morning
and 56 paper this afternoon. How many
papers does Mrs. Thiel have to grade
this evening?
Answer:
73 Papers
Step-by-step explanation:
Let's start by finding out how many papers Mrs. Thiel has already graded.
56 + 49 = 105
Now, let's subtract how many papers she has already graded from how many she has to grade in total.
178 - 105 = 73
So, Mrs. Thiel has to grade 73 papers this evening.
What is the answer?
Answer:
x^2(x-5)
Step-by-step explanation:
f(x)=x-5
g(x)=x^2
g(f(x)=?
x^2(f(x)=?
x^2(x-5)
If this helps please mark as brainliest
9514 1404 393
Answer:
D. (x -5)²
Step-by-step explanation:
Replace the variable with the function argument.
G(F(x)) = G(x -5) = (x -5)² . . . . . matches choice D
Let a and b be real numbers were a≠ b ≠ 0. Which of the following functions could represent the graph below?
Answer:
A
Step-by-step explanation:
where the graph
WHERE THE GRAPH???
A common marketing strategy used by retailers to make products appear more attractive, while customers really pay the same price, is to list a
$200 item for (5 points)
a)$10 per month for 2 months
b)$10 per week for 200 weeks
c)$20 per week for 10 weeks
d)$20 per month for 1 month
Answer:
$20 per week for 10 weeks
Step-by-step explanation:
It's the only one that even mathematically makes sense, and this tactic is also used to make it look better than $200 upfront
In each of the following, find all real numbers x that satisfy the given equation. If none satisfy the equation, then state the answer as "None."
(25/4)^3x = 32/3125
Answer:
The solution is [tex]x = -\frac{5}{6}[/tex]
Step-by-step explanation:
We solve this question using exponential properties.
We have that:
[tex](\frac{25}{4})^{3x} = \frac{32}{3125}[/tex]
Simplifying:
[tex](\frac{5^2}{2^2})^{3x} = \frac{2^5}{5^5}[/tex]
[tex]([\frac{5}{2}]^{2})^{3x} = (\frac{2}{5})^{5}[/tex]
[tex](\frac{5}{2})^{6x} = (\frac{2}{5})^{5}[/tex]
Changing the numerator and denominator in the right side:
[tex](\frac{5}{2})^{6x} = (\frac{5}{2})^{-5}[/tex]
Since both bases are equal:
[tex]6x = -5[/tex]
[tex]x = -\frac{5}{6}[/tex]
The solution is [tex]x = -\frac{5}{6}[/tex]
PLEASE HELP!! Click the picture
Answer:
If y - 4 = 5 then:
y = 5 + 4
y = 9
Solve the value of p
Answer:
but where is que
Step-by-step explanation:
i don't see the question
Solve the equation
z³=27
Answer: z = 3, -1.5 + 1.5[tex]\sqrt{3}[/tex]i, -1.5 - 1.5[tex]\sqrt{3}[/tex]i
Step-by-step explanation:
A cubic equation will have three solutions. This equatoin will give us one real solution. We will also have two complex solutions. These are solutions that involve "imaginary numbers" and will utilize the value i. We will write the equation in standard form and factor it.
z³ - 27 = 0
(z - 3)(z² + 3z + 9) = 0
The first factor gives us z = 3, because 3 - 3 = 0. Now, we will look at when the second factor equals 0. Let us complete the square.
z² + 3z + 9 = 0
(z² + 3z + 2.25) + 9 - 1.5 = 0
(z² + 3z + 2.25) + 6.75 = 0
(z + 1.5)² + 6.75 = 0
Lastly, we can continue solving. We will subtract 7.5 from both sides of the equation and then take the square root of both sides. Then, we will subtract 1.5 from both sides of the equation and simplify the radical. [tex]i=\sqrt{-1}[/tex].
(z + 1.5)² = -6.75
z + 1.5 = ±[tex]\sqrt{6.75}[/tex]i
z = -1.5 ±1.5[tex]\sqrt{3}[/tex]i
Answer:
z = 3, -1.5+1.5√3i, -1.5-1.5√3i
Step-by-step explanation:
You want the solutions to the equation z³ = 27.
CubicA cubic equation has three solutions. This one has one positive real solution and two complex conjugate solutions.
We can rewrite the equation to standard form, then factor the difference of cubes.
z³ -27 = 0
(z -3)(z² +3z +9) = 0
The first factor will be zero when z = 3, so that is one solution.
The second factor will be zero when ...
(z +1.5)² +6.75 = 0 . . . . . . . complete the square
(z +1.5) = ±√(-6.75) = ±√(-27/4) = ±(3/2)√(-3) . . . subtract 6.75; square root
z = -1.5 ±1.5√3i
The three solutions to the equation are ...
z = 3z = -1.5+1.5(√3)iz = -1.5-1.5(√3)i<95141404393>
"I think of a number, take away 1 and multiply the result by 3."
Answer:
I got 6.
Step-by-step explanation:
I picked my number to be 3. I took away 1 to make it 2. I then multiplied 2 by 3, to get 6.
One of the two answers is wrong please help guys
Answer:
The first answer is right (18). Second answer is 50= 3.9x+2.8, which is 12.1 so 13 would be the best answer to catch at least 50 fish.
Step-by-step explanation:
61 POINTES!!!!!! (I will give brainliest)
A landscape architect designs a small splash pad represented by ΔABC. Then she decides to make the splash pad larger as shown by ΔADE. How are the splash pad designs alike? How are they different?
I think it is -4 and positive 2
Translate (5. – 5) down 3 units.
Then reflect the result over the x-axis.
What are the coordinates of the final point?
Answer:
(5, 8)
Step-by-step explanation:
(5. – 5) down 3 units => (5, -8)
reflect x-axis => (5 , 8)
In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.
Answer:
[tex]f(x) = x^3 +5x^2-4x-20[/tex]
Step-by-step explanation:
Given
[tex]Zeros: -5,-2,2[/tex]
Required
The polynomial function
If a function has a, b and c as its zeros, the function is:
[tex]f(x) = (x - a)(x - b)(x - c)[/tex]
So, we have:
[tex]Zeros: -5,-2,2[/tex]
[tex]f(x) = (x - (-5))(x - (-2))(x - 2)[/tex]
Open the inner brackets
[tex]f(x) = (x +5)(x +2)(x - 2)[/tex]
Expand the difference of two squares
[tex]f(x) = (x +5)(x^2 - 4)[/tex]
Expand
[tex]f(x) = x^3 +5x^2-4x-20[/tex]
WILL
GIVE BRAINLIST FOR MATH
....
Need help urgently difficult but simple math equation if you get it right ill give you brainliest.
Answer:
No.
Step-by-step explanation:
Explanation below.
solve for y: -4y + 5 > -15
Step-by-step explanation:
-4y+5>-15
-4y>-15-5
-4y>-20
divide both (-)
4y>20
divide through by 4
y>20/4
y>5
Identify the parts of a sphere,
a is the
bis the
c is the center
d is the radius
diameter
great circle
HELP 50points
Answer:
Hello, it appears you did not provide an image that was supposed to be included in order to help answer your question, so I'm afraid I cannot assist you without seeing it. If you supply the necessary photo, I would be more than happy to help you.
Solve the inequality. Graph the solution
Answer: y>-2 (The symbol has a underline)
Step-by-step explanation:
Since you want to move -4 to the -6 spot, do the opposite of the negative which is positive. So add +4 to each side. And the -4 will disappear and you will be left with y>-6+4. Solve -6+4= -2 And so the answer is y>-2.
Hope this helps
F(x) =X+4
g(x) = 3x² -7
Find (f-g) (x)
Algebra 2 sem 1
Answer:
[tex]B. ~(f+g)(x)=6x^3+4x-2[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2+4x-5[/tex]
[tex]g(x)=6x^3-2x^2+3[/tex]
[tex]Find~(f+g)(x)[/tex]
[tex]=2x^2+4x-5+6x^3[/tex]
[tex]-2x^2+3[/tex]
[tex](f+g)(x)=6x^3+4x-2[/tex]
--------------------------------
hope it helps....
have a great day!!
A shipping box has the dimensions shown. What is the volume of the box in cuvic yards? ( two sides are 1/4 yards and one side is 1/2 yrads)
answers - 1/16 yards, 1/10yards, 1/32 yards, 1/8 yards
Answer:
[tex]C)[/tex] [tex]1/32 ~yd^3[/tex]
Step-by-step explanation:
[tex]l*b*h[/tex]
[tex]1/2*1/4*1/4=[/tex][tex]1/32 ~yd^3[/tex]--------------------
hope it helps...
have a great day!!
A recipe for oatmeal raisin cookies requires 2 eggs for every dozen cookies . Which equation shows the relationship between eggs ( e ) and dozen cookies ( c ) ?
Answer:
2e = c
Step-by-step explanation:
Let :
Egg = e
Cookies = c
2 eggs for every 1 dozen of cookies
This gives the Mathematical expression :
2 eggs = 1 c
2e = c
m and p are complementary angles m/M = 56, and m/P = 2x + 4. Write and solve an equation to find the value of x.
Find the measure of the indicated angle.
pls help !!
Answer:
5. m<A = 25.3°; m<B = 64.7°
6. m<A = 40.2°; m<B = 49.8°
Step-by-step explanation:
Recall: SOHCAHTOA
5. Reference angle = <A
Opposite = 9
Adjacent = 19
Apply TOA:
Tan A = Opp/Adj
Tan A = 9/19
A = Tan^{-1}(9/19)
A = 25.3461759° ≈ 25.3° (nearest tenth)
Reference angle = <B
Opposite = 19
Adjacent = 9
Apply TOA:
Tan B = Opp/Adj
Tan B = 19/9
B = Tan^{-1}(19/9)
B = 64.6538241° ≈ 64.7° (nearest tenth)
6. Reference angle = A
Opposite = 20
Hypotenuse = 31
Apply SOH:
Sin A = Opp/Hyp
Sin A = 20/31
A = sin^{-1}(20/31)
A = 40.2° (nearest tenth)
Reference angle = B
Adjacent = 20
Hypotenuse = 31
Apply CAH:
Cos B = Adj/Hyp
Cos B = 20/31
B = cos^{-1}(20/31)
B = 49.8° (nearest tenth)
The average credit card debt for a recent year was $8,776. Five years earlier the average credit card debt was $8,189. Assume sample sizes of 32 were used and the population standard deviations of both samples were $690. Is there evidence to cónclude that the average credit card debt has increased? Use a- 0.05
a. State the hypotheses
b. Find the critical value.
c. Compute the test statistic
d. Make the decision.
e. Summarize the results
Answer:
We reject H₀. We support that the new average credit card debt is bigger than the previous average
Step-by-step explanation:
Five years earlier
μ = 8189
σ = 690
Sample size n = 32
Recent year debt
x = 8776
Sample size n = 32
a) Hypothesis Test:
Null Hypothesis H₀ x = μ = 8189
Alternative Hypothesis Hₐ x > μ
b) z(c) Alternative Hypothesis establishes that the test is a one tail-test to the right.
z(c) for significance level α = 0.05 is from z-table z(c) = 1,64
c) z(s) = ( x - μ ) / σ /√n
z(s) = ( 8776 - 8189 ) / 690 /√32
z(s) = 587 *5,66/ 690
z(s) = 4,81
d) Comparing z(c) and z(s)
z(s) > z(c) Then z(c) is in the rejection region and we reject H₀
e) We have evidence that at 95 % of confidence the new value for the debt in credit card is now bigger than the average
Helpppp 8 &11/13 as an improper fraction
Answer:
115/13
Step-by-step explanation:
convert mixed number into improper fraction
8×13+11
multiply
104+11/13
add
104+11=115
115/13
Question 6
What is the missing value of the following synthetic division?
Answer:
Hello!
16
Step-by-step explanation:
Because
-5+16=11
What is the area of the regular trapezoid below?
- 6 cm
T
8 cm
10 cm
Answer:
Area = 64 cm²
Step-by-step explanation:
To find the area, we have to follow some steps:
=> Step 1: Make the bases similar:
Since we have 2 bases given 6 and 10 we have to come up with a third base by finding their average:
(6 + 10) / 2
(16) / 2
8
So now that we know our base,
=> Our second step is to multiply the base we found by the height of the trapezoid:
Area = common base * height
Area = 8 * 8
Area = 64 cm²
Hope this helps!
Rewrite 4 < n, so that the variable is on the left side
Answer:
n > 4 I think is the answer, I'm not 100% sure
Answer:
n<1/4
Step-by-step explanation:
4<n Sub n on both sides
4n<0 Divide by 4 on both sides
n<1/4
Two containers hold several balls. Once a second, one of the balls is chosen at random and switched to the other container. After a long time has passed, you record the number of balls in each container every second. In 10,000 s, you find 80 times when all the balls were in one container (either one) and the other container was empty.
Required:
a. How many balls are there?
b. What is the most likely number of balls to be found in one of the containers?
Answer:
(a) 8 balls
(b) 4 balls
Step-by-step explanation:
Let
[tex]N \to[/tex] Number of balls
For a box, the probability that there are N balls in it is:
[tex]Pr = 0.5^N[/tex]
For 2 boxes, it is:
[tex]Pr = 2 * 0.5^N[/tex]
From the question, we have:
[tex]\frac{80}{10000} \to[/tex] Favorable outcome
To solve for N, we have:
[tex]2 * 0.5^N = \frac{80}{10000}[/tex]
[tex]2 * 0.5^N = 0.008[/tex]
Divide both sides by 2
[tex]0.5^N = 0.004[/tex]
Take log of both sides
[tex]\log(0.5^N) = \log(0.004)[/tex]
Apply law of logarithm
[tex]N\log(0.5) = \log(0.004)[/tex]
Make N the subject
[tex]N = \frac{\log(0.004)}{\log(0.5)}[/tex]
[tex]N =7.966[/tex]
Approximate
[tex]N = 8[/tex]
Solving (b): Balls in one of the two boxes.
Here, we assume that each ball will have almost the same number of balls at a given instance;
Hence, we have:
[tex]Balls \approx \frac{N}{2}[/tex]
[tex]Balls \approx \frac{8}{2}[/tex]
[tex]Balls \approx 4[/tex]
4 balls in each box