Answer: =−36x−54
Step-by-step explanation:
=(9)(−4x+−6)
=(9)(−4x)+(9)(−6)
Answer:
-36x - 54
Step-by-step explanation:
Distribute 9 to all terms within the parenthesis. Multiply:
9( -4x - 6) =
9(-4x) = -36x
9(-6) = -54
-36x - 54 is your answer.
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if Logan(3)=5, what is the value of a^5?
Answer:
[tex]a^5=3[/tex]
Step-by-step explanation:
When it comes to exponential expressions and logarithms, the following relationship applies:
[tex]\log_b{(x)}=a\ \leftrightarrow\ b^a=x[/tex]
Here, it means ...
[tex]\boxed{a^5=3}[/tex]
Answer:
[tex] \huge \purple { \boxed{{a}^{5} = 3}}[/tex]
Step-by-step explanation:
[tex] log_{a}(3) = 5 \\ 3 = {a}^{5} \\ \huge \red { \boxed{{a}^{5} = 3}}[/tex]
The angle 01 is located in Quadrant II, and sin(01) =
9/41
What is the value of cos(01)?
Express your answer exactly.
cos(01) =
Answer:
-40/41
Step-by-step explanation:
Since we know 'cos' involves the Adjacent and Hypoteneus sides, we will need to solve for the 'Adjacent' side of the triangle using the Hypoteneus Theorem.
41² = 9² + a²
a = 40.
However, this is in quadrant II, so when finding the 'cos' value, this side is -40.
Cosine is A/H, giving is:
cos(01) = -40/41
Drew is driving out of state to go to a theme park. The total distance he is driving is 500.34 miles. He has driven 0.45 of the
distance so far, Drew calculated that he has driven 250.17 miles.
Is Drew's calculation reasonable or not? Explain your answer. If his calculation is not reasonable, determine the number of miles
Drew has actually driven.
The calculation is not reasonable, because 0.45 is less tha 1/2 ( 0.50) and what he has for an answer is half the distance ( 250.17 is 1/2 of 500.34).
To find actual mileage, multiply by 0.45:
500.34 x 0.45 = 225.153 miles.
Round the answer as needed.
In ΔIJK, the measure of ∠K=90°, IK = 39, JI = 89, and KJ = 80. What ratio represents the sine of ∠I?
Answer: 80/89
Step-by-step explanation:
Answer:
80/89
Step-by-step explanation:
delta math told me
Which is the best estimate of the circumstances of this circles 2
Answer:
12 is the best estimate
Step-by-step explanation:
On circle OOO below, the measure of \stackrel{\LARGE{\frown}}{FJ} FJ ⌢ F, J, start superscript, \frown, end superscript is 84^\circ84 ∘ 84, degrees. The measure of \stackrel{\LARGE{\frown}}{GH} GH ⌢ G, H, start superscript, \frown, end superscript is 76^\circ76 ∘ 76, degrees. What is the measure of \angle HKJ∠HKJangle, H, K, J?
Answer:
100°
Step-by-step explanation:
The angle between chords is the average of the intersected arc angles.
∠FKJ = ½ (84° + 76°)
∠FKJ = 80°
∠HKJ is supplementary to ∠FKJ.
∠HKJ = 180° − 80°
∠HKJ = 100°
The average temperature of the atmosphere in the world is approximated as a function of altitude by the relation Tatm=288.15−6.5z where Tatm is the temperature of the atmosphere in K, and z is the altitude in km with z = 0 at sea level. Determine the average temperature of the atmosphere outside an airplane that is cruising at an altitude of 12600 m. The average temperature of the atmosphere outside an airplane is
Answer:
The average temperature of the atmosphere outside the airplane is [tex]206.25\,K[/tex].
Step-by-step explanation:
The average temperature of the atmosphere outside an airplane flying at an altitude of 12600 meters is computed by evaluating the linear function:
[tex]T (12.6\,km) = 288.15 - 6.5\cdot (12.6\,km)[/tex]
[tex]T (12.6\,km) = 206.25\,K[/tex]
The average temperature of the atmosphere outside the airplane is [tex]206.25\,K[/tex].
Find the value of x 6x-10 6x+10
Answer:
total there are 3 values of x as +5/3, -5/3 and 0
Step-by-step explanation:
the given equation is
x(6x-10) (6x+10)=0
this equation can be solved as following
=0 using the formula (a+b)*(a-b)= (a^2-b^2)
here a=6x and b=10
from here we can write either x=0 or 36x^2= 100
or x^2= 100/36 and x=0
or x= ±10/6 and x=0
therefore, total there are 3 values of x as +5/3, -5/3 and 0
Use the figure to find the measures of the numbered angles.
Answer:
Hope this helps pls mark brainliest
Answer FAST! This is a HARD question! Good luck
Answer:
6
Step-by-step explanation:
bruh is it that hard
at least means including 1/2
how many ticks does 1/2 and higher have?
6
A right triangle has one leg 3 meters long and a hypotenuse 5 meters long. What is the length of the other leg? A. 4 m B. 5 m C. 15 m D. 25 m
Answer:
A
Step-by-step explanation:
Using the Pythagorean Theorem, you can find that the length of the final leg is:
[tex]\sqrt{5^2-3^2}=\sqrt{25-9}=\sqrt{16}=4[/tex]
Therefore, the answer is A. Hope this helps!
Why is it important to have high
quality audio files
Answer:
TO HEAR BETTER
Because as quality increases the tone increases
sam can mow his yard in 5 hours. Lucy can mow the same yard in 3.5 hours. How long will it take them to mow the lawn together?
Answer:
Sam workrate 1/5
Lucy workrate 1/3.5 = reciprocal of 7/2 = 2/7
combined workrate: 1/5 + 2/7 = 17/35
they will mow the lawn in 35/17 = 2 and 1/17 hours
2 hours 3 1/2 mins
Step-by-step explanation:
Find the prime factorization of the integer -32
Answer:-32=-2 x -2 x -2 x -2 x -2
Step-by-step explanation:
-32=-2 x -2 x -2 x -2 x -2
If a sample mean is 37,which of the following is most likely the range of possible values that best describes an estimate for the population mean?
Answer:
(32, 42)
Step-by-step explanation:
Answer:
(32,42)
Step-by-step explanation:
4. Find the zeros for 0 = x2 + 6x + 9.
a. X= 3
b. x = -3
C. X = 3 and x = -3
d. x = 1 and x = 9
Answer:
b. x = -3
Step-by-step explanation:
0 = x^2 + 6x + 9
Factor
0 = (x+3) (x+3)
Using the zero product property
x+3 = 0 x+3 =0
x = -3
In the right triangle shown DF=EF=3. How long is DE?
Answer:
4.24
Step-by-step explanation:
To solve this, use the Pythagorean therom. A^2 + b^2 = C^2
in this case a = 3 and b = 3
so 9 + 9 = sqrt 18
4.24
Answer:3√(2)
Step-by-step explanation:
DF=3
EF=3
DE=√(3^2 + 3^2)
DE=√(3x3 + 3x3)
DE=√(9+9)
DE=√(18)
DE=√(2 x 9)
DE=√(2) x √(9)
DE=√(2) x 3
DE=3√(2)
The body mass index (BMI) of an individual is a measure used to judge whether or not an individual is overweight. A BMI between 20 and 25 indicated a normal weight. In a survey of 750 men and 750 women, the Gallup organization found that 203 men and 270 women were normal weight. Construct a 95% confidence interval for the difference in proportion of men and women who are normal weight.
Given Information:
Number of Men having normal weight = 203
Number of Women having normal weight = 270
Sample size of Men = 750
Sample size of Women = 750
Confidence level = 95%
Required Information:
Difference in the proportion of normal weighted Men and Women = ?
Answer:
We are 95% confident that the difference in the proportion of Men and Women who are normal weight is between (0.044, 0.136)
Step-by-step explanation:
The proportion of Men who are normal weight is given by
p₁ = 203/750
p₁ = 0.27
The proportion of Women who are normal weight is given by
p₂ = 270/750
p₂ = 0.36
The difference in the proportion of normal weighted Men and Women is given by
[tex](p_2- p_1) \pm z\cdot \sqrt{\frac{p_1(1-p_1)}{n_1} + \frac{p_2(1-p_2)}{n_2}}[/tex]
Where p₁ and p₂ are the proportion of Men and Women who are normal weighted.
n₁ and n₂ are the sample size of Men and Women.
z is the value of z-score corresponding to 95% confidence level and is given by
[tex]z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96[/tex]
So we have z-score of 1.96 corresponding to confidence level of 95%
So the above equation becomes
[tex](p_2- p_1) \pm z\cdot \sqrt{\frac{p_1(1-p_1)}{n_1} + \frac{p_2(1-p_2)}{n_2}}\\\\(0.36- 0.27) \pm 1.96\cdot \sqrt{\frac{0.27(1-0.27)}{750} + \frac{0.36(1-0.36)}{750}}\\\\0.09\pm 1.96\cdot (0.0238) \\\\0.09\pm 0.046 \\\\Lower \: limit = 0.09 - 0.046 = 0.044\\\\Upper \: limit = 0.09 + 0.046 = 0.136\\\\(0.044, \: 0.136)[/tex]
Therefore, we are 95% confident that the difference in the proportion of Men and Women who are normal weight is between (0.044, 0.136)
How to find the value of z-score?
In the z-table find the probability of 0.025 and note down the value of that row it would be 1.9 and the value of column would be 0.06, therefore, the z-score is 1.9+0.06 = 1.96
Find the supplement of an angle that measures 20 degrees.
A) 50 degrees
B) 70 degrees
C) 90 degrees
D) 160 degrees
Answer:
160 degrees
Step-by-step explanation:
Answer:I think it is D
Step-by-step explanation:
How do I GRAPH the SOLUTION to the inequalities AFTER solving them?
-138> -6(6b-7) Any help is appreciated greatly.
answer is b > 5
Step-by-step explanation:
asap BRAINLIEST to anyone who get this correct. Factor the expression below.
4x^2 - 20x + 25
A. (4x + 5)(x + 5)
B. (4x - 5)(x - 5)
C. (2x + 5)(2x+5
D. (2x - 5)(2x - 5)
Answer:
D. (2x - 5)(2x - 5)
Step-by-step explanation:
4 is a perfect square, with its two identical factors being 2. The number 25 is also a perfect square, with its two identical factors being 5. This leaves us with the answer choices:
C. (2x + 5)(2x + 5)
OR
D. (2x - 5)(2x - 5)
However, when you solve answer "C," the result is:
[tex]4x^2+20x +25[/tex]
But we need the middle term to be -20x, so answer "D," is correct since it has -5 instead of positive 5.
I have f(x)=x^2+x+5. Then (f(x)-f(a))/(x-a).
Answer:
(f(x) -f(a))/(x -a) = x +a +1
Step-by-step explanation:
(f(x) -f(a))/(x -a) = ((x^2 +x +5) -(a^2 +a +5))/(x -a) = (x^2 -a^2 +x -a)/(x -a)
= ((x -a)(x +a) +(x -a))/(x -a) = x +a +1
(f(x) -f(a))/(x -a) = x +a +1
The circumference of a circle can be found using the formula c=2pie r. which is an equation solve for r?
Answer:Half of the diameter so d/2 or distance from the midpoint to the circle border
Step-by-step explanation:c=2pie•r^2
(3sqr3cis(pi/8))*(3sqr5cis(2pi/3))
Answer:
9√15·cis(19π/24)
Step-by-step explanation:
The magnitudes multiply and the angles add:
= ((3√3)(3√5))·cis(π/8 +2π/3)
= 9√15·cis(π(1/8 +2/3)) = 9√15·cis(π(3/24 +16/24))
= 9√15·cis(19π/24)
A bag contains 5 quarters 2 dimes and 4 pennies what is probability Of picking a dime
Answer: 5/11
Step-by-step explanation:
The probability of picking a dime is [tex]\frac{2}{11}[/tex].
What is probability?The measure of happening or non-happening of the outcomes of a random experiment is called probability.
Probability formulaP(E) = Number of favorable outcomes/ total number of outcomes
Where,
P(E) is the probability of an event.
According to the given question.
Total number of quarters coins = 5
Total number of dimes coins = 2
Total number of pennies coins = 4
Therefore,
The total number of coins in a bag = 5 + 4 + 2 = 11
⇒ Total number of outcomes = 11
So, the probability of picking a dime coin is given by
P(E) = total number of dime coins/ total number of coins in a bag
⇒[tex]P(E) = \frac{2}{11}[/tex]
Hence, the probability of picking a dime is [tex]\frac{2}{11}[/tex].
Find out more information about probability here:
https://brainly.com/question/11234923
#SPJ3
ABC is a right-angled triangle. Calculate the length of AB. Give your answer correct to 2 decimal places.
Diagram is there too as I couldn't fit the question in.
Answer:
10.83
Step-by-step explanation:
The length of AB to 3 decimal places is 10.83 cm
The given figure is a right triangle
From the triangle, we are given the following parameters
AC = 18cm
m<C = 38 degrees
we need to get the length of AB
Using the SOH CAH TOA identity
[tex]sin \theta = \frac{opposite}{hypotenuse} \\sin 37 = \frac{AB}{18}\\AB = 18 sin37\\AB =18(0.6018)\\AB =10.832cm[/tex]
Hence the length of AB to 3 decimal places is 10.83 cm
Learn more here: https://brainly.com/question/19286106
The diameter of a circular placement is 42 centimeters what is the approximate area of the circular placement
What is the approximate area of a circle with diameter 6?
Answer: 28.27
Step-by-step explanation:
First, you can turn the diameter into a radius, giving you 3. Since the equation of an area in a circle is A=πr^2, you must square 3, giving you 9. Now you must multiply 9 with Pi, which is 3.14159265358, but just 3.14 for short. With that, you get about 28.27 as area.
(-3x + 15) + (-3x + 2)
Answer:
If you are looking for a simplified equation, then the answer is -6x + 17
Step-by-step explanation:
(-3x + 15) + (-3x + 2)
Because you are only adding and subtracting here, you can take out the parentheses.
-3x + 15 -3x + 2
= -6x + 17
se x vale 3 quanto vale 2x
Answer:
6
Step-by-step explanation:
x=3
2x = 2(3) = 6
