Answer:28
Step-by-step explanation:
3^x=5
3^2x+3
(3^x)^2 + 3
Substitute 3^x=5 in (3^x)^2 + 3
5^2 + 3
5x5+3=28
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
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!
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:
The diameter of a circular placement is 42 centimeters what is the approximate area of the circular placement
Why is it important to have high
quality audio files
Answer:
TO HEAR BETTER
Because as quality increases the tone increases
Daniel believes that people perform better in the barbell curl, on average, if they are encouraged by a coach. He recruited 29 subjects to participate in an experiment and randomly assigned them into two groups. Daniel gave one group verbal encouragement during the exercise and was quiet during the exercise for the other group. He recorded the total number of barbell curls each subject was able to complete before setting the bar down.
Explain the purpose of random assignment in this experiment.
Answer:
Define two roughly identical sets.
Reduce the chance of bias.
Step-by-step explanation:
In this experiment, Daniel performs a random assignment in order to stablish two separate groups with roughly equivalent ability to do barbell curls. Two different treatments (verbal encouragement and silence) are then applied in order to verify for a cause and effect relationship. If the groups were not randomly assigned, then the experiment could be biased.
(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)
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:
Which best describes a fraction?
» A fraction is the denominator divided by the numerator.
» A fraction is the numerator divided by the denominator.
1.) A fraction is the numerator multiplied by the denominator.
()) A fraction is the denominator multiplied by the numerator.
A fraction is the numerator divided by the denominator best describes a fraction.
Given,
- A fraction is the denominator divided by the numerator.
- A fraction is the numerator divided by the denominator.
- A fraction is the numerator multiplied by the denominator.
- A fraction is the denominator multiplied by the numerator.
We need to find which option best describes a fraction.
What is a fraction?A fraction has two parts: Numerator and Denominator.
It is in the form of Numerator / Denominator.
We have,
- A fraction is the denominator divided by the numerator.
It is written as denominator / Numerator.
- A fraction is the numerator divided by the denominator.
It is written as Numerator / Denominator
- A fraction is the numerator multiplied by the denominator.
It is written as Numerator x Denominator.
- A fraction is the denominator multiplied by the numerator.
It can be written as Denominator x Numerator.
We see that the option "a fraction is a numerator divided by the denominator" is the correct answer.
Thus A fraction is the numerator divided by the denominator best describes a fraction.
Learn more about fractions here:
https://brainly.com/question/10354322
#SPJ2
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
Which is the best estimate of the circumstances of this circles 2
Answer:
12 is the best estimate
Step-by-step explanation:
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 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
Use the figure to find the measures of the numbered angles.
Answer:
Hope this helps pls mark brainliest
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].
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)
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.
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.
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
Kali has a 666 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 222 meters away from the base of the tree.
How high into the tree will the ladder reach?
Round your answer to the nearest tenth of a meter.
I think it is 123 meters Answer:
Step-by-step explanation:
!!!!!!WILL MARK BRAINLIEST I need answer quickly!!!!!!!!
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 5. Using empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7 of males
Answer:
Average systolic blood pressure = x = 130
Standard deviation = s = 6
Step-by-step explanation:
We are to find interval that represents the systolic blood pressure of middle 99.7% of the males.
According to the empirical rule:
a) 68% values lie within 1 standard deviation of the mean
b) 95% values lie within 2 standard deviation of the mean
c) 99.7% values lie within 3 standard deviation of the mean
So, 99.7% value will lie within 3 standard deviations from the mean.
We can express this range as:
( x - 3s, x + 3s)
= (130 - 3(6), 130 +3(6))
= ( 130 - 18, 130 + 18)
= ( 112, 148 )
Thus the interval from 112 to 148 contains the systolic blood pressure of middle 99.7% of the males in the certain town
Hope this helps!!!
The interval of systolic blood pressures that represent the middle 99.7 of males is (90, 120).
What is Empirical Rule?Empirical rule is a rule for normally distributed data which defines that almost all the data observed ranges between three standard deviations from the mean.
Given that,
For males in a certain town, the systolic blood pressure is normally distributed.
Mean, μ = 105
Standard deviation, σ = 5
Using empirical rule, we can say that 99.7% of males having the systolic blood pressures observed following a normal distribution lies within 3 standard deviations of the mean.
So the interval is (μ ± 3σ).
That is, (105 - 3×5, 105 + 3×5) = (90, 120)
Hence the required interval is (90, 120).
Learn more about Empirical Rule here :
https://brainly.com/question/30700783
#SPJ3
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
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
What’s the correct answer for this?
Answer:
D.
Step-by-step explanation:
Angle-Angle-Side Postulate since two angles and one side is congruent to eachother.
Answer:
D. Angle-Angle-Side.
Step-by-step explanation:
The 2 sets of triangles have 2 angles and 1 side congruent so the reason is AAS.
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
Abeline is creating a box design for a company. The front, back, and sides will be painted, but the top and bottom will not be painted. A prism has a length of 10 feet, height of 8 feet, and width of 12 feet. Which net could be used to find the surface area of the sides that will be painted? A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The top 3 rectangles and the middle bottom rectangle are shaded. A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The first and third rectangle of the top 3 rectangles are shaded. A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The first and third rectangle of the top 3 rectangles are shaded, and the first and third rectangle of the bottom 3 rectangles are shaded. A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The middle 4 rectangles are shaded.
Answer:
it is the first one
Step-by-step explanation:
Answer:
A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The top 3 rectangles and the middle bottom rectangle are shaded.
Step-by-step explanation:
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.
What is the image of (1,0) after a counterclockwise rotation of 60 degrees?
Answer:
[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]
Step-by-step explanation:
The coordinate has the following polar form:
[tex]\vec r = (1, 0^{\circ})[/tex]
The image of the coordinate rotated counterclockwise 60° is:
[tex]\vec s = (1, 60^{\circ})[/tex]
Its equivalent form in rectangular coordinates is:
[tex]\vec s = (1\cdot \cos 60^{\circ}, 1 \cdot \sin 60^{\circ})[/tex]
[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]
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:
A garden is in the shape of a rectangle 85m by 50m
Flowers are grown in 32% of the garden.
The rest of the garden is grass.
Work out the area of the garden that is grass.
Answer:
2890 sq. meters
Step-by-step explanation:
The area of the whole garden is 85 x 50 = 4250 sq. meters. Since the flowers take up 32%, that means the grass must take up 100-32, or 68% of the garden. 68% of 4250 is 2890 sq. meters.
Hope this helped! :)
Answer:
The Area of the Garden that is Grass: 2890 square meters
Step-by-step explanation:
Let us plan out the problem before us. We could first calculate the area of the garden thorugh multiplication it's length by width. After that, compute the area occupied by flowers through 32% of the area of the garden. That would mean the area of the garden that is grass is the area of the garden - the area of the garden that is flowers.
1. Area of Garden = 85 * 50 = 4250 square meters
2. Area of Flowers in the Garden = 32/100 * 4250 = 136000/100 = 1360 square meters
3. Area of Grass in the Garden = 4250 - 1360 = 2890 square meters
The Area of the Garden that is Grass: 2890 square meters
