Step-by-step explanation:
1)
SOLUTION
5(x+5) = 6. (6 +9)
90 = 5x + 25
13 = x
2)
SOLUTION
x (3) = (4) (6)
3x = 24
x= 8
3)
SOLUTION
3 (3 + x + 2) = (x+1)(x + 1 + x – 1) Use Theorem
3x + 15=2x²+2x
0 = 2x² – x – 15
0 = (x – 3) (2x + 5) Solve for x
3 = x Use positivesolution
Which transformations, when performed together, would carry graph A onto graph B? Choose all that apply.
A. A reflection over the x-axis
B. A translation of 4 units up
C. A vertical compression with a scale factor of 1/2
D. A vertical stretch with a scale factor of 2
Answer:
a and b I know for sure, im not sure about the others sorry
how do I simplify the following to "a+bi" form: (1+2i)^3
Answer:
Expand it.
(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).
Multiply everything out (being sure to multiply every term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.
i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:
1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):
(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.
Simplify again, and the answer is: -11-2i
Step-by-step explanation:
I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.
-
If f(x) = x3 - 2, find f(3).
O 25
O 24
O 26
O 20
Answer:
Option A, [tex]25[/tex]
Step-by-step explanation:
Step 1: Plug in 3 for x and solve
[tex]f(x) = x^3 - 2[/tex]
[tex]f(3) = (3)^3 - 2[/tex]
[tex]f(3) = 27 - 2[/tex]
[tex]f(3) = 25[/tex]
Answer: Option A, [tex]25[/tex]
When specific frequencies of______are absorbed by a material, it forms an absorption spectrum.
A. mass
B. light
C. lightyears
D. weight
Answer:
B. light
Step-by-step explanation:
When specific frequencies of light are absorbed by a material, it forms an absorption spectrum.
A cube has edge length of 12 in. Find its volume.
Answer:
1728 units^3
Step-by-step explanation:
The volume of a cube is given by the formula: a^3, where a is edge length.
a^3
(12)^3
1728
Simplify: 4 - 5.2 + 6 + 7.9 - 8
3.9x+0.8y is the answer to your question.
For the following exercise, find the domain and range of the function below using interval notation.
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
Domain:
Incorrect no answer given
Range:
Incorrect
The domain of the linear equation y = -x will be a real number and the range of the linear equation y = -x will be a real number.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
For the following exercise.
Then the domain and range of the function below using interval notation.
The table is given below.
Then the linear equation that is passing through (1, -1) and (2, -2). Then we have
y + 1 = -x + 1
y = -x
Then the domain of the linear equation y = -x will be a real number and the range of the linear equation y = -x will be a real number.
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how long will #200.00 yield on interest of #40.00 at the rate of 15%
Step-by-step explanation:the formula for solving time is 100 * 40 naira / / 200 * 15
look at the image and answer it for me please
If you put $2,000 into an interest
bearing account, where interest is
compounded quarterly (4 times a year) at
6%, how long will it take for your money
to triple?
Use A = P(1+5)
Solve for t.
t = [?] years
Round your answer to the nearest tenth.
Answer:
18.4 years
Step-by-step explanation:
The compound interest formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
For this problem we have
[tex]P= 2000\\r= 0.06\\n= 4\\A= 2000(3)= 6000[/tex]
We plug our numbers...
[tex]6,000= 2,000(1+\frac{0.06}{4} )^{4t} \\[/tex]
Then divide
[tex]6,000/2,000=3[/tex]
[tex]3= (1.015)^{4t}[/tex]
Apply log both sides
[tex]3log=(1.015) 4tlog[/tex]
Solve for t
[tex]t= \frac{3log}{(4log(1.015))} =18.4 years[/tex]
help i need a answer asap
The number of times Jennifer rolls a number less than 3 in a number cube when she rolls it 60 times is 40.
How to find the probability of an event?The probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The probability of rolling a number less than 3 on a number cube is 2/6.
[tex]P( > 3)=\dfrac{2}{6}[/tex]
Here, the Jennifer rolls a number cube 60 times. Thus, the number of times she rolled the number less than 3 in this cube is,
[tex]n=\dfrac{2}{3}\times60\\n=40[/tex]
Thus, the number of times Jennifer rolls a number less than 3 in a number cube when she rolls it 60 times is 40.
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If a = (0,0) and b= (8,2) what is the length of ab
Step-by-step explanation:
on the coordinate grid you can imagine a right-angled triangle.
the direct distance between the 2 points is the Hypotenuse (the baseline opposite of the 90° angle).
and the x-coordinate difference and the y- coordinate difference of the 2 points are the 2 legs.
we can then use Pythagoras
c² = a² + b²
with c being the Hypotenuse, a and b being the legs.
so,
distance² = (8-0)² + (2-0)² = 64 + 4 = 68
distance (= length ab) = sqrt(68) = sqrt(4×17) = 2×sqrt(17) =
= 8.246211251...
As part of a school project, Juanita was asked to draw an accurate sketch of her bedroom. using the dimensions and scale shown, determine the actual area of her room: 2.2in by 4.3in 1 inch is + to 5ft
At the beach, Cody saw 4 times as many
seagulls as pelicans. If there were a total of 30
birds, how many birds were pelicans?
Answer:
6 pelicans
Step-by-step explanation:
Let x = number of pelicans
Cody saw 4 times as many seagulls as pelicans:
⇒ number of seagulls = 4x
Total of 30 birds:
⇒ seagulls + pelicans = 30
⇒ 4x + x = 30
⇒ 5x = 30
⇒ x = 6
Therefore, there were 6 pelicans (and 24 seagulls).
ATQ
y+4y=305y=30y=6Pellicans are 6
find the equation (in terms of x) of the line through the point (-3,-3) and (2,-2)
Answer:
y = (1/5)x - 12/5
Step-by-step explanation:
First, you need to find the slope (m). This can be done by using the given points and the following equation.
y₁ - y₂ = m(x₁ - x₂)
-3 - (-2) = m(-3 - 2)
-1 = -5m
1/5 = m
Next, you need to find the y-intercept (b). You can do this by using the slope and the values of a point in the following equation.
y = mx + b
-2 = (1/5)(2) + b
-2 = 2/5 + b
-2.4 = b
-12/5 = b
Putting the information together, you are left with your final equation.
y = (1/5)x - 12/5
* PLEASE HELP *
4
If f (x) = 3(x+5) +-, what is f(a+ 2)?
7
4
O A. 31a + 7) +
a +2
4
B. 347(a) + 5) +
f (a) + 2
C. 3(a + 2) + 2+2
-
a
Answer:
C is the only correct answer
Help me please? I don’t understand.
Answer:
90°
Step-by-step explanation:
This is important to remember, the three interior angles will always have a sun of 180.
knowing this it’s pretty basic math
a + b + c = 180
33 + 57 + c = 180
90 + c = 180
[subtract 90 from each side (90 cancels out)]
c = 90°
…
Check
- > 33 + 57 + 90 = 180
33 + 147 + = 180
180 = 180
Check!
Suppose the U.S. president wants to estimate the proportion of the population that supports his current policy toward revisions in the health care system. The president wants the margin of error to be 0.02. Assume a 90% level of confidence. The president’s political advisors found a similar survey from two years ago that reported that 61% of people supported health care revisions
The sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error is 0.05.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = X \times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We know:
[tex]\rm MOE =Z \times\sqrt{ \dfrac{pq}{n}}[/tex]
We have MOE = 0.05, p = 46% = 0.46,
q = 1-p = 1-0.46 = 0.54
Z at 0.02(because 98% level of confidence) = 2.33
Plug this value in the formula we get:
[tex]0.05=2.33\times \sqrt{\dfrac{0.46\times 0.54}{n}}[/tex]
After solving:
n = 539.41 ≈ 540
If no estimate is given:
p = 0.5 and q = 0.5
[tex]0.05=2.33\sqrt{\dfrac{0.5\times 0.5}{n}}[/tex]
n = 542.89 ≈ 543
Thus, the sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error is 0.05.
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URGENT BRIANLIEST WILL BE GIVEN
Whats the volume of the barn?
Answer:
7840 ft^3
Step-by-step explanation:
give brainliest please!
(10*14*40) + (14*40*8)1/2
Anyone know the answer to 4 1/6 + 3/4? The final result should be a mixed number.
Answer:
=59/12 or 4.92 or 4 11/12
Step-by-step explanation:
4 1/6 + 3/4
=25/6 + 3/4
=59/12 or 4.92 or 4 11/12
Please solve with explanation (high points)
Both ∠AKL and ∠AKC have a value of 45 degrees. The rationale is that the regular polygons BKLC (rectangle) and ABCD are bisected by lines AK and KC respectively. Since the sum of angles in a right angle is 90°, thus half of that is 45°.
What is a regular polygon?A regular polygon is a polygon that has two dimensions and can be made or drawn using at least three lines joined together.
Because, the sum of angles in a right angle is 90° and half of that is 45°, we can thus conclude that the values of ∠AKL and ∠AKC are both 45° each.
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MULTIPLE CHOICE
A sphere has the same radius as a cylinder. In the cylinder, the radius equals the height. If
the cylinder has a volume of 150 cubic units, what is the volume of the sphere?
A
450 cubic units
B
200 cubic units
С
112.5 cubic units
D
50 cubic units
Answer:
B
Step-by-step explanation:
150 = πr² * r
r = 3.62783
V = 4/3 (π * 3.62783³)
V = 199.99 cubic units or 200
the distance on the map between the treasures hidden in block A2 and block A3 is 35mm. if the scale on the map is 1:500 ratio, what is the actual distance between the two hidden treasures?
The actual distance is: 17500mm
What is a map scale?A map scale is used to show the relationship between the distance on the map and the distance on the earth.
Analysis:
The scale 1:500 is a reduction scale, it means every 1 mm on the map represents 500mm on the ground
So if 1mm on the map represents 500mm on the ground, then 35mm on the map would be 500 x 35 = 17500mm
In conclusion, the actual distance between the two hidden treasures is 17500mm.
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When I stand 20 feet away from my home, the angle of elevation from the ground to the top of my home is 46°. Approximately how tall is my home?
The height of the home is 20.71 feet and when stand 20 feet away from my home, the angle of elevation from the ground to the top of my home is 46°.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the house, hence:
tan(46) = h/20
h = 20.71 feet
The height of the home is 20.71 feet and when stand 20 feet away from my home, the angle of elevation from the ground to the top of my home is 46°.
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what is the parent function
Using translation concepts, it is found that the parent function graphed in this problem is [tex]y = \sqrt{x}[/tex].
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have only one graph, which has the format of the square root of x, hence the function is:
[tex]y = \sqrt{x}[/tex]
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Is the opposite of any number smaller than the original number?
Sometimes it is true and sometimes no.
in the case of 3 the opposite is -3
so yes
in the case of -3 the opposite is 3
so no.
If the problem were "The opposites are always less than the original number."
Then the answer would be "No, not true."
Step-by-step explanation:
Answer:
Opposite of a number can be sometimes greater than itself,may be less then it or even equal.
Step-by-step explanation:
An object has the mass of 900 g and a volume of 1,875 cm3.
Calculate its density.
g/cm3
Maths
If the mass of the object is 900 g and the volume is 1,875 cm³. Then the density of the object is 0.48 g/cm³.
What is density?Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
Density = mass / volume
An object has a mass of 900 g and a volume of 1,875 cm³.
Then the density will be
Density = 900/1875
Density = 0.48 g/cm³
Then the density of the object is 0.48 g/cm³.
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A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.98mm and a standard deviation of 0.35mm. Find the probability that a randomly selected tire will have a depth less than 0.50mm. Would this outcome warrant a refund (meaning that it would be unusual)?
The probability is that a randomly selected tire that has a depth less than 0.50 mm will be 0.085121.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.98mm and a standard deviation of 0.35mm.
Then the probability is that a randomly selected tire has a depth less than 0.50 mm will be
The value of the z-score will be
z = (0.50 - 0.98) / 0.35
z = -1.3714
Then the probability will be
P(x < 0.50) = P(z < -1.3714)
P(x < 0.50) = 0.085121
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Find (-18) + (-15) + 10. O 7 O-43 O-23 O-13
Answer:
O-23
Step-by-step explanation:
Yes yes yes yes yes yes yes yes yes
Comanche Ltd closed at $15.89, a $0.43 decrease from the closing price the day before. This is a 2.6% decrease. O A. True O B. False
Answer:
False
Step-by-step explanation:
I am honestly not a hundred percent sure but I´ll let you know after the test..