Answer:
10.5 unitsStep-by-step explanation:
Given
Perimeter P = 34 unitsWidth w = 6.5 unitsLength l = ?Equation, in terms of l:
2(l + 6.5) = 34l + 6.5 = 17l = 17 - 6.5l = 10.5Answer:
Equation:6.5 + 6.5 + L +L =34
Answer: 10.5
Step-by-step explanation:
To find perimeter you need L+W+L+W. You have a width of 6.5. When you plug that into the equation you get 6.5 + 6.5+ L+L=34. Combine like terms (6.5 +6.5). That leaves you with 13 + 2L = 34. Now, you want to subtract 13 from both sides to isolate the L. You now have 2L = 21. Now you should divide everything by 2. 21/2 = 10.5
Find the equation of the line passing through the points (-3,8) and (3,-4). Write the
equation in slope-intercept form.
Answer:
y = -2x + 2
Step-by-step explanation:
(-4-8)/(3-(-3)) = -12/6 = -2
-4 = -2(3) + b
-4 = -6 + b
b = 2
Write the equation of the line in slope intercept form.
Help!!!!!!!
(-8,10); m=1/2
Answer:
y=1/2x+14
Step-by-step explanation:
If you mark (-8,10) in a graph and go up 1, over 2, then you will eventually get to (0,14).
You can also use the slope formula in reverse. 1/2=b-10/0-(-8)
1/2=b-10/8, then multiply both side by 8
4=b-10, add 10 to both sides
14=b
How many solutions does the equation have?
Answer:
Infinitely many
Step-by-step explanation:
They both equal the same equation
Answer:
All real numbers are solutions.
Step-by-step explanation:
4(z−5)+2=4z−18
Step 1: Simplify both sides of the equation.
4(z−5)+2=4z−18
(4)(z)+(4)(−5)+2=4z+−18(Distribute)
4z+−20+2=4z+−18
(4z)+(−20+2)=4z−18(Combine Like Terms)
4z+−18=4z−18
4z−18=4z−18
Step 2: Subtract 4z from both sides.
4z−18−4z=4z−18−4z
−18=−18
Step 3: Add 18 to both sides.
−18+18=−18+18
0=0
Write this ratio as a fraction in lowest terms.
70 minutes to 60 minutes
10 MINUTES
EXPLANATION:BECAUSE IF YOU SUBTRACT 70 AND 60 THE ANSWER WILL BE 10.
70–60=10
HOPE IT HELPS YOU
2(3w-6)=5w+8
asap plz
Answer:
w = 20
Step-by-step explanation:
2 (3w - 6) = 5w + 8
distribute the 2
6w - 12 = 5w + 8
subtract 5w from both sides
w - 12 = 8
add 12 to both sides
w = 20
Answer:
The value of w is 20.
Step-by-step explanation:
Solution :
[tex]{\longmapsto{\tt{2(3w - 6)=5w + 8}}}[/tex]
[tex]{\longmapsto{\tt{(3w \times 2 )- (6 \times 2)=5w + 8}}}[/tex]
[tex]{\longmapsto{\tt{(6w)- (12)=5w + 8}}}[/tex]
[tex]{\longmapsto{\tt{6w - 12=5w + 8}}}[/tex]
[tex]{\longmapsto{\tt{6w - 5w = 8 + 12}}}[/tex]
[tex]{\longmapsto{\tt{w = 20}}}[/tex]
Hence, the value of w is 20.
[tex]\rule{300}{2.5}[/tex]
Please help! I neeeeeeeeeeeeddddddddd HELP!
Answer:
probably 400 its closest to what i got
Step-by-step explanation:
∠A and \angle B∠B are complementary angles. If m\angle A=(7x+23)^{\circ}∠A=(7x+23)
∘
and m\angle B=(5x+19)^{\circ}∠B=(5x+19)
∘
, then find the measure of \angle B∠B.
Since there are complementary angles, the value of angle B is 39°.
Angle A = 7x + 23°
Angle B = 5x + 19°
It should be noted that the total angles in a complementary angle are equal to 90°.
Therefore, we need to add angle A and B together and then equate them to 90°. This will be:
7x + 23° + 5x + 19° = 90°
Collect like terms
12x + 42° = 90°
12x = 90° - 42°
12x = 48°
x = 48°/12
x = 4°
Angle A = 7x + 23° = 7(4) + 23° = 28° + 23° = 51°
Angle B = 5x + 19° = 5(4) + 19° = 20° + 19° = 39°
The value of angle B is 39°.
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Gerard collects coins. he has 103 pages of quarters in his coin collection books. each page contains 16 quarters. How many quarters does Gerard have altogether?
please help!
7x + 3x - 18 = 6(x + 3)
Answer:
x=9, therefore 72=72
Step-by-step explanation:
I just distributed.
Answer:
x = 9
Step-by-step explanation:
7x + 3x - 18 = 6(x + 3) ← distribute parenthesis by 6
10x - 18 = 6x + 18 ( subtract 6x from both sides )
4x - 18 = 18 ( add 18 to both sides )
4x = 36 ( divide both sides by 4 )
x = 9
Given f(x)=-x+2f(x)=−x+2, find f(-1)f(−1)
Answer:
f(-1) = 3
Step-by-step explanation:
Plug -1 into the equation
-(-1)+2
The monthly utility bills in a city have a mean of $70 and a standard deviation of $8. Find the s-scores that correspond to utility bills of $60, $71 and $9. What can you conclude
Z-Score for:
$60:
$71:
$92:
92 because I'm really good at math
The z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.
What is Z-score?A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
As it is given that the standard deviation of the monthly utility bills is $8, while the mean is $70. Therefore, the z-score can be written as,
A.) X= 60
[tex]Z = \dfrac{X- \mu}{\sigma}=\dfrac{60- 70}{8} = -1.25[/tex]
B.) X = 71
[tex]Z = \dfrac{X- \mu}{\sigma} = \dfrac{71- 70}{8}=0.125[/tex]
C.) X = 92
[tex]Z = \dfrac{X- \mu}{\sigma}= \dfrac{92- 70}{8}=2.25[/tex]
Hence, the z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.
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Determine whether each expression is a monomial. Write yes or no. Explain your reasoning. 1. 21/27 2. 32/
Answer:
1. Yes and for 2. I don't know
Step-by-step explanation:
1. is a monomial because 21/27 is one group
Instructions-Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary.
-
f(x) = 5x + 25 - 1
8(x) - - 2x-3
Answer:
f(x)=5x+25-1
8(x)- -2x-3
=30-1
=8x+6x
=29+14x
43x
The point of intersection of the two functions is (3, 27).
The system of equations is:
f(x) = 5x + 25 - 1 = 5x + 24
g(x) = 2x - 3
To solve this system, we can use the elimination method. We can eliminate the x-term by adding the two equations together.
f(x) + g(x) = 5x + 24 + 2x - 3 = 7x + 21
Solving for x, we get:
x = 21/7 = 3
Now that we know the value of x, we can plug it back into either equation to find the value of y. Let's use the equation for f(x).
f(x) = 5x + 24
f(3) = 5(3) + 24 = 27
Therefore, the point of intersection of the two functions is (3, 27).
To the nearest tenth, the point of intersection is (3.0, 27.0).
The point of intersection of the two functions is (3, 27).
The system of equations is:
f(x) = 5x + 25 - 1 = 5x + 24
g(x) = 2x - 3
To solve this system, we can use the elimination method. We can eliminate the x-term by adding the two equations together.
f(x) + g(x) = 5x + 24 + 2x - 3 = 7x + 21
Solving for x, we get:
x = 21/7 = 3
Now that we know the value of x, we can plug it back into either equation to find the value of y. Let's use the equation for f(x).
f(x) = 5x + 24
f(3) = 5(3) + 24 = 27
Therefore, the point of intersection of the two functions is (3, 27).
To the nearest tenth, the point of intersection is (3.0, 27.0)
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Which of the following statements is not true?
Creo que es la A
prueba a traducirla i luego buscalo cual es la repuesta
Name the asymptote for the graphed function.
x = 2
x = 4
y = 2
y = 4
y=2
There is one horizontal asymptote present
See the line of graphed function is approaching to 2 but not crossing y=2 .Instead it is trying to be parallel with x axis.Hence the horizontal asymptote is at y=2Option C
A rectangular garden has an area of 46 1/2 square feet. If the garden is 7 1/2 feet long, how many feet wide is it?
Answer:
The answer is 6 1/5 feet in width.
Step-by-step explanation:
Since the formula for area is wl or width x length, we can utilize our reversive property to find our width by dividing the Area we are given by our length, giving us the missing width in return. Dividing 46.5 square feet by 7.5 feet gives us 6.2 feet, or 6 1/5 feet.
Hope this helps!
11=-5x-2 plzzzzzzzzzz help...
Answer:
-5x-2=11
+2
-5x=9
÷-5
x=1.8
Step-by-step explanation:
Answer:
x = -2.6
or x=-2 and 3/5
Step-by-step explanation:
Simplifying
11 = -5x + -2
Reorder the terms:
11 = -2 + -5x
Solving
11 = -2 + -5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5x' to each side of the equation.
11 + 5x = -2 + -5x + 5x
Combine like terms: -5x + 5x = 0
11 + 5x = -2 + 0
11 + 5x = -2
Add '-11' to each side of the equation.
11 + -11 + 5x = -2 + -11
Combine like terms: 11 + -11 = 0
0 + 5x = -2 + -11
5x = -2 + -11
Combine like terms: -2 + -11 = -13
5x = -13
Divide each side by '5'.
x = -2.6
Simplifying
x = -2.6
34500002650 in standard form 2 significant figures
Answer:
35000000000
Step-by-step explanation:
i used a calculator hope this helps
HELP ME PLEASE
7. When Mrs. Santo lived in China, temperature was measured in Celsius. She constantly had to convertir
Celsius to Fahrenheit until she started learning Celsius temperatures and how warm they are.
The formula to convert from Celsius to Fahrenheit is F = = C) + 32
The mean temperature for one month was 34°C and the standard deviation was 2.27.C. Applying what
know about multiplying by a constant and adding a constant, what was the mean and standard deviation
Fahrenheit? Be sure to show your work for both the mean and the standard deviation.
Answer:
Mean: [tex]93.2\; \rm ^{\circ} F[/tex].
Standard deviation: [tex]4.086\; \rm ^{\circ} F[/tex].
Step-by-step explanation:
Consider a random variable [tex]X[/tex] with mean [tex]\overline{X}[/tex] and variance [tex]{\rm Var}(X)[/tex].
If a random variable [tex]Y[/tex] is obtained by linearly transforming [tex]X[/tex] for some constants [tex]m \ne 0[/tex] and [tex]b[/tex], then the mean of [tex]Y\![/tex] would be:
[tex]\overline{Y} = m\, \overline{X} + b[/tex].
[tex]\mathrm{Var}(Y) = m^{2} \, \mathrm{Var}(X)[/tex].
The standard deviation of a random variable is the square root of its variance. Therefore, the standard deviation of [tex]Y[/tex] would be:
[tex]\begin{aligned}\mathrm{SD}(Y) &= \sqrt{\mathrm{Var}(Y)} \\ &= \sqrt{m^{2}\, \mathrm{Var}(X)} \\ &= m\, \sqrt{\mathrm{Var}(X)} \\ &= m\, \mathrm{SD}(X)\end{aligned}[/tex].
In this question, the random variable [tex]F[/tex] is obtained by linearly transforming [tex]C[/tex] using the constants [tex]m = (9/5)[/tex] and [tex]b = 32[/tex]. That is:
[tex]F = (9/5)\, C + 32[/tex].
It is given that mean [tex]\overline{C} = 34[/tex] while standard deviation [tex]\mathrm{SD}(X) = 2.27[/tex]. The mean and standard deviation of [tex]F[/tex] obtained from the linear transformation would be:
[tex]\begin{aligned}\overline{F} &= m\, \overline{C} + b \\ &= (9/5) \times 34 + 32\\ &= 93.2\end{aligned}[/tex].
[tex]\begin{aligned}\mathrm{SD}(F) &= m\, \mathrm{SD}(C) \\ &= (9/5) \times 2.27 = 4.086\end{aligned}[/tex].
Thus, when measured in degrees Fahrenheit, the corresponding mean would be [tex]93.2\; \rm ^{\circ} F[/tex] and and standard deviation would be [tex]4.086\; \rm ^{\circ} F[/tex].
Which one of the following values of k makes the trinomial 9x^2 + kx + 64 a perfect square
a 24
b 48
c 16
d 42
Answer:
it is C 16
Step-by-step explanation:
x² - kx + 64
Since we are looking for a perfect square, then we need to take the square root of 64 to find the factors: √64 = 8
So, the factors are: (x - 8)(x - 8)
Foil (or distribute) to get: x² - 16x + 64 The k-value is 16
f(x)=
–
3x+10
f(5t)=
Answer:
[tex]15t+10[/tex]
Step-by-step explanation:
We can plug in for [tex]5t[/tex] into [tex]f(x)[/tex]!
[tex]f(5t)=3(5t)+10=\boxed{15t+10}[/tex]
f(x) = sqrt(2x); g(x) = sqrt(8x) Find (fg)(x) Assume x >= 0
The functions f(x) and g(x) combine to form a composite functions
The value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]
How to determine the function (fg)(x)The functions are given as:
[tex]f(x) = \sqrt{2x[/tex]
[tex]g(x) = \sqrt{8x[/tex]
To calculate (fg)(x), we have:
[tex]f(x) = \sqrt{2x[/tex]
This gives
[tex]f(g(x)) = \sqrt{2g(x))[/tex]
Substitute [tex]g(x) = \sqrt{8x[/tex]
[tex]f(g(x)) = \sqrt{2*\sqrt{8x}[/tex]
Simplify
[tex]f(g(x)) = \sqrt{4\sqrt{2x}[/tex]
Hence, the value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]
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Answer:
f.g x = 4x
Step-by-step explanation:
help help help please
Answer:
28
Step-by-step explanation:
first substract 49-21 which will give u 28.
then use this 28 for the other trapezium
add up 24 and 28 together which give 52. then substract 52 from 24 which will give u the answer 28. so therefore 28 is the answer.
hope u understood
please help me with this please
Answer:
21
Step-by-step explanation
3 Units x 7 Units = 21 Square Units
ASAPPPPPO due at 11:59pm
Answer:
Part 1 : 22
Part 2 : 34
Step-by-step explanation:
Nicole can run 4
laps in 2/5 hour.
How long will it
Hake her to run 5
laps?
Answer:
15 minutos or
⁵/¹⁰ hour......
Step-by-step explanation:
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Answer:
1/2 hour
2/5=4
x=5
Then cross-multiply
4x=2
x=1/2
I need help pls and thx
Answer: the answer is 21√10
Step-by-step explanation:
Step-by-step explanation:
ini bahasa apa goblaok
What two consecutive intergers dose the value below lie?
-√156
Answer: First we need to create an equation
x+x+2+x+4=156
3x+6=156
3x=156–6
3x=150
x=50
The answer is 50,52, and 54.
Check
50+(50+2)+(50+4)=156
50+52+54=156
Step-by-step explanation:
Your welcome :)
BY which rule are these triangles congruent?
Step-by-step explanation:
The [tex]\huge{\triangle}[/tex]JGH and [tex]\huge{\huge{\triangle}}[/tex]MNK are congruent by the rule of Area-area-side (AAS)
32 cubic cenimters it takes 8 cenimeters cube
Answer:
4
Step-by-step explanation:
32 divided by 8