u = 8
Step-by-step explanation:
log(10) u = log(10) 4^(3/2)
or
u = 4^(3/2)
= [sqrt(4)]^3
= (2)^3
= 8
9. Simplify 1/2 (4a + b) - 1/4 (4a + b)
А. a
B. a + 1/4 b
C. 2a + 1/4 b
D. 2a - b
B: a+ 1/4b Hope this helps!
B. [tex]a + \frac{1}{4} b[/tex] ✅
Step-by-step explanation:
[tex] \frac{1}{2} (4a + b) - \frac{1}{4} (4a + b) \\ = \frac{4a + b}{2} - \frac{4a + b}{4} \\ = \frac{2(4a + b)}{2 \times 2} - \frac{4a + b}{4} \\ = \frac{8a + 2b}{4} - \frac{4a + b}{4} \\ = \frac{8a + 2b - 4a - b}{4} \\ = \frac{4a + b}{4} \\ = \frac{4a}{4} + \frac{b}{4} \\ = a \: + \frac{1}{4} b[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
y = 3/5x + 5
y = -3/5x + 5
y = 3/5x - 5
y = -3/5x - 5
Answer:
y= 3/5x+5
Step-by-step explanation:
The y intercept is 5 and the graph is going upwards so it is a postive slope. If you look at at the graph from the y intercept point to point B you can see it goes up by 3 and right by 5 so the slope is 3/5. This makes the equation y=3/5x+5
Sasha is taking cooking class. The total cost in dollars of the classes can be found using the function d = 12.750 + 35, where c is the number of classes attended. Sasha will attend at least one class and no more than eight classes. What is the domain of the situation?
Answer:
[1,8] or 1 [tex]\leq \\[/tex] x [tex]\leq[/tex] 8
Step-by-step explanation:
The domain is number of classes she can/will take, therefore the domain is between 1 and 8.
given sin x= 7/25 abd cos x = 24/25. what is the ratio for tan x?
Answer:
Solution given:
[tex] sin x=\frac{7}{25}[/tex]
[tex]Cosx=\frac{24}{25}[/tex]
Tanx=[tex]\frac{sinx}{cosx}=\frac{\frac{7}{25}}{\frac{24}{25}}[/tex]
Tan x=[tex] \frac{7*25}{24*25}[/tex]
tan x=[tex] \frac{7}{24}[/tex]
is a required answer.
The question is below.
Answer:
3/14
Step-by-step explanation:
12/56 is equivalent to 3/14
Answer:
14
Step-by-step explanation:
We simplify the fraction 12/56 by dividing the top and bottom by 4 to get 3/14. Thus, it is clear that the question mark is 14.
write a trigonometric expression for the refracted angle and write the refracted angle in terms of distance d and material width w
Answer: The Diagram of the refracted angle is attached below
answer : ∅ = cos^-1 ( w/d )
Step-by-step explanation:
The trigonometric expression for the refracted angle
with respect to ; Distance ( d ) and width ( w )
Cos ∅ = Adjacent / Hypotenuse ----- ( 1 )
where; adjacent = W . Hypotenuse = d
back to equation 1
Cos ∅ = w / d
∴ ∅ = cos^-1 ( w/d )
Given the function h(x)=-x^2-5x+14 determine the average rate of change of the function over the interval -9
Answer:
The average rate of change of the function over the interval is of 6.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function h(x) over an interval [a,b] is given by:
[tex]A = \frac{h(b)-h(a)}{b-a}[/tex]
In this question:
Over the interval [-9,-2], so [tex]a = -9, b = -2, b - a = -2 -(-9) = 7[/tex]
The function is:
[tex]h(x) = -x^2 - 5x + 14[/tex]
[tex]h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22[/tex]
[tex]h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20[/tex]
Then
[tex]A = \frac{h(-2)-h(-9)}{7} = \frac{20-(-22)}{7} = \frac{42}{7} = 6[/tex]
The average rate of change of the function over the interval is of 6.
Use the given information to find the minimum sample size required to estimate an unknown population mean μ.
How many students must be randomly selected to estimate the mean weekly earnings of students at one college? We want 95% confidence that the sample mean is within $4 of the population mean, and the population standard deviation is known to be $25.
Answer:
151 students must be selected.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The population standard deviation is known to be $25.
This means that [tex]\sigma = 25[/tex]
How many students must be randomly selected to estimate the mean weekly earnings of students at one college? Sample mean within $4 of the population mean
This is n for which M = 4. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4 = 1.96\frac{25}{\sqrt{n}}[/tex]
[tex]4\sqrt{n} = 1.96*25[/tex]
[tex]\sqrt{n} = \frac{1.96*25}{4}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*25}{4})^2[/tex]
[tex]n = 150.1[/tex]
Rounding up:
151 students must be selected.
PLSSSS HELLPPPPP!!!
Answer: B, D, and F
Step-by-step explanation:
Hi, so for this question, the phone bill is in an equation. Before doing this problem, make sure to understand what the 2 and 56 mean. The problem says that c is the monthly charge, and m is the number of minutes. This means that 2 is the number of dollars required to pay when you use the phone for one minute. So 2 dollars per minute. The 56 is basically the fee that is just charged for using the phone bill. Meaning that even if you don't use the phone at all, you will still need to pay 56 dollars.
By understanding those info, it should be easier to answer.
For A, it is not correct. if you look, although 2*4 is 8 dollars, but you need to add 56 for the monthly bill. (I think when they say 'your bill' they mean the monthly bill).
For B, it is correct. Like I said before, the 56 dollars is there no matter how long you use the phone.
For C, it is not correct. This isn't hard to understand since if B is correct, C is probably not, and vise versa. And the 56 dollars is missing.
For D, it is correct. As I said before, the 2 represents the amount of dollars for one minute.
For E, it is not correct. (Contradicts the previous answer and each minute costs 2 dollars).
For F, it is correct. When you use 2 minutes, the equation is 2*2+56 which is 60 dollars.
Hopefully this helps!
Richard drove to the east at 2 kilometers, then 1 kilometer south, and 1 kilometer west to reach home.
Answer:
answer 4 kilometer
Step-by-step explanation:
2 + 1 + 1 = 4
Suppose that the function y = f(x) is decreasing on the interval ( 5, 7). What can be said about the graph of y= -f(x)
The graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
Suppose that the function y = f(x) is decreasing on the interval ( 5, 7).
The function:
y = -f(x)
Let f(x) be:
f(x) = -aˣ
Here 'a' is the real number a > 0
f(x) is decreasing on the interval ( 5, 7).
Applying transformation:
y = -f(x)
y = aˣ
Function y is increasing on the interval ( 5, 7).
Thus, the graph of y = -f(x) is increasing on the interval ( 5, 7) if the function y = f(x) is decreasing on the interval ( 5, 7).
Learn more about the function here:
brainly.com/question/5245372
#SPJ2
What is 10° equivalent to?
Answer: [tex]\frac{\pi}{18}[/tex]
Step-by-step explanation:
To convert from degree to radians, multiply by [tex]\frac{\pi}{180}[/tex], the conversion ratio.
Thus, 10 x [tex]\frac{\pi}{180}[/tex] = [tex]\frac{\pi}{18}[/tex]
Find a polynomial f(x) of degree 3 that has the following zeros. -1 (multiplicity 2), 8 Leave your answer in factored form
Answer:
Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargo del gobierno estás a cargo
Step-by-step explanation:
Ganancia neta de la ciencia y dibujos de los gobernante en la vida de las ciudadanos y ciudadanas que ah implementado la Municipalidad de tu distrito para enfrentar la pandemia de mi corazón del gobierno estás a cargoAlice invests $5,000 at age 28 from the signing bonus of her new job. She hopes the investments will be worth $20,000 when she turns 40. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal?
Answer:4000 per year
Step-by-step explanation:
Please look at the image
Step-by-step explanation:
m∠A = 70°
m∠B = 30°
m∠C = 80°
Sum of all three angles = 70° + 30° + 80° = 180°
Hope it helps....!
Describe how to use a conversion factor to convert units. PLEASE HELP DUE TONIGHT
Answer:
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.
Step-by-step explanation:
A light bulb consumes 3600 watts-hours per day. How many watts-hours does it consume in 3 days and 6 hours?
Answer:
3 DAYS IS 10800 WATTS.
Step-by-step explanation:
3600 WATTS × 3 DAYS =10800 WATTS.
Find the area of the shape.
Answer:
78.5 un²
Step-by-step explanation:
A = π · r²
π · 10²
314 un²
314 un² ÷ 4
78.5 un²
Please help!!!!!!!!!!!
Answer: 4 X's on 2 1/2, 3 X's on 3, 2 X's on 3 1/2, 1 X on 4
Step-by-step explanation:
what is the volume measured in cubic centimeters, of the box below? do not include units in your answer
Answer:
60
Step-by-step explanation:
V = lwh
V= 4x3x5
V=60
Answer:
Solution given:
l=4cm
b=3cm
h=5cm
volume=l*b*h=4*3*5=60cm³
For i^2 =-1, (3-i)^2 = ?
A. 8
B. 10
C. 8-6i
D. 8 + 6i
E. 10-6i
How many books could you read in 114 days if you read 2 books every 3 days?
Answer:
76 books
Step-by-step explanation:
2/3 × 114 = 76
__________
WILL GIVE BRAINLIEST!!!!
Plot the image of quadrilateral ABCD under a reflection across line L.
Answer:
See image
Step-by-step explanation:
I clicked submit and it was right
Also dude I remember doing this and struggling before
A local dog shelter has 12 dogs and 8 cats up for adoption. What fraction of the pets are dogs, what percent are cats?
If anyone can figure this out tysm
could someone help please ??
Answer:
i think it's 0.66666666666 or 1.5
Answer:
The quotient is 1.5.
Step-by-step explanation:
What is the domain of y= tan(x)?
Answer:
Step-by-step explanation:
The domain of the function y=tan(x) ) is all real numbers except the values where cos(x) is equal to 0 , that is, the values π2+πn for all integers n . The range of the tangent function is all real numbers.
What is the function graphed below?
9514 1404 393
Answer:
B. y = x + 0.5
Step-by-step explanation:
The y-intercept of 0.5 eliminates choices A and C.
When x increases by 1, y increases by 1, eliminating choice D.
The equation of choice B is graphed.
y = x + 0.5
Please anybody help I need to finish this today!!
Answer:
well Liam is right that is the same statement
I need this please ya
GE = 26
Step-by-step explanation:
OP = 16 + 9 = 25
PE - OG = 7
Using Pythagorean theorem,
(GE)^2 = (OP)^2 + (PE - OG)^2
=(25)^2 + (7)^2
= 625 + 49
= 674
or
GE = √674 = 25.96 or 26
The total length of a beach is 14.4 kilometers. If lifeguards are stationed every 0.06 kilometers, including one at the end of the beach, how many lifeguards will there be on the beach?
Answer:
240
Step-by-step explanation:
Divide 14.4 by 0.06, as the total distance is 14.4 kilometers and lifeguards are stationed every 0.06 kilometers.