Answer:
ln(1.225)/0.1
Step-by-step explanation:
The credit all goes to @lucic , but the answer is expressed as a natural log
Determine which polynomial is a difference of two squares. a. X2 + 14 b. X2 ? 14 c. X2 + 49 d. X2 ? 49
Answer:
d. X^2 - 49
Step-by-step explanation:
I will assume that the question marks are minus signs.
Let's remember what does "difference of two squares" means:
The difference of two squares is a number multiplied by itself subtracted from another number multiplied by itself (the number multiplied by itself is called squared number).
In our options, the first number is always a squared number because it's X^2 = X * X.
We just have to analyze the second number.
First, let's notice that a. and c. can't be correct because we have a sum instead of a subtract.
We have left 14 and 49 to analyze:
14 = 7*2 (it's not a squared number)
49 = 7*7 (it's a squared number)
The answer is X*X - 7*7 = X^2 - 49
point A is locatee at (2,8) and point B is located at (8,5). what point partitions the directed line segment AB into a 1:3 ratio
Answer:
The point is (3.5 , 7.25)
Step-by-step explanation:
∵ A = (2 , 8) and B = (8 , 5)
∵ Let point P divides AB into a ratio 1:3
∵ [tex]x=\frac{m_{2}x_{1}+m_{1}x_{2}}{m_{1}+m_{2}}[/tex]
∵ [tex]y=\frac{m_{2}y_{1}+m_{1}y_{2}}{m_{1}+m_{2}}[/tex]
∴ x-coordinate of P = (2)(3) + (8)(1)/3 + 1 = (6 + 8)/4 = 3.5
∴ y-coordinate of P = (8)(3) + (5)(1)/1 + 3 = (24 + 5)/4 = 7.25
∴ P = (3.5 , 7.25)
The point that partitions the directed line segment AB into a 1:3 ratio is P(3.5, 7.25), calculated using the section formula.
To find the point that partitions the directed line segment AB into a 1:3 ratio, we use the section formula. The section formula for a point P(x, y) that divides the line segment connecting A(2, 8) to B(8, 5) in the ratio m:n is given by:
x = ([tex]m \times x2 + n \times x1[/tex]) / (m + n)
y = ([tex]m \times y2 + n \times y1[/tex]) / (m + n)
Given the ratio 1:3, the coordinates for point P can be calculated as follows:
x = ([tex]1 \times 8 + 3 \times 2[/tex]) / (1 + 3) = (8 + 6) / 4 = 14 / 4 = 3.5
y = ([tex]1 \times 5 + 3 \times 8[/tex]) / (1 + 3) = (5 + 24) / 4 = 29 / 4 = 7.25
Therefore, the point that divides the line segment AB in a 1:3 ratio is P(3.5, 7.25).
(Q3) Which of the following functions decreases, going downwards from left to right?
Answer: third option
Step-by-step explanation:
By definition, for the function [tex]y=b^x[/tex] if 0<b<1 then the function decreases from left to right
Therefore, it cannot be the options 1 or the option 2.
As the function given in the third option of problem has a negative coefficient (which is -2) and b=0.3 (0<b<1)
[tex]y=-2*0.3^x[/tex]
Then, each ouput value wil be negative.
Therefore, you can conclude that the function [tex]y=-2*0.3^x[/tex] decreases and going downwards from left to right.
Answer:
The answer is B.
Step-by-step explanation:
got it right on edge.
5p/7 - 18 = - 43 help me please!
Answer:
-35
Step-by-step explanation:
[tex]5p/7-18=-43[/tex] ⇒ [tex]5p/7=-43+18[/tex] ⇒
[tex]7(5p/7=- 25)7[/tex] ⇒ [tex]5p=-175[/tex] ⇒
[tex]5p/5 = -175/5[/tex] ⇒ [tex]p = -35[/tex]
Note: Figure not drawn to scale.
What is the value of a°?
A) 28°
B) 45°
C) 62°
D) 73°
Answer:
B. a° = 45°Step-by-step explanation:
Look at the pictute.
Angles 45° and a° are Alternate Interior Angles.
Alternate Interior Angles are congruent. Therefore the measures of Alternate Interior Angles are the same.
Answer:
c 62
Step-by-step explanation:
i did the usa test prep :)
(Q2) Decide if the function is an exponential function. If it is, state the initial value and the base. y=5^x
Answer:
B
Step-by-step explanation:
We can figure out the initial value and base of an exponential function if the function is written in the form [tex]y=a*b^x[/tex] where
a is the initial value, and
b is the base
Note: a ≠ 0 and b ≠ 1
Our equation given can be written in this form by writing it like [tex]y=5^x\\y=1*5^x[/tex]
Thus, this is an exponential function. The initial value is 1 and the base is 5.
The correct answer is B
Answer:
b
Step-by-step explanation:
Jackson buys a new Shirt. The shirt is 25% off the original price. Jackson pays a total of $11.34 for the shirt, which includes a sales tax of 8%. What is the original price, in dollars, of the shirt?
Answer:
$13.04 is the original price of the shirt
Step-by-step explanation:
As sales tax is 8% we will find the price of the shirt
11.34 * 8/100 = 0.91
11.34-0.91= 10.43
so, $10.43 is the price of the shirt after discount and excluding sales tax.
The original price of the shirt is:
10.43 * 25 /100 = 2.60
adding it to the price of shirt
10.43 + 2.61 = 13.04
Answer:
14 or 14.00
Step-by-step explanation:
If he is getting 25% off, that means that what he paid with 75% of the original cost. Don't forget that he also has to pay a percent tax so that is the same as multiplying by 1.08. (btw this is what it said the correct answer was after I get it wrong two times)
PLEASE HELP QUICK. I'M OFFERING 10PTS (Its only worth 2) AND BRAINLIEST ANSWER
The graph of f(x) = 7x is shifted 6 units to the right. What is the equation of the new graph?
A. g(x) = 7x + 6
B. g(x) = 7(x - 6)
C. g(x) = 7(x + 6)
D. g(x) = 7x - 6
the correct answer choice is B.
The equation of the graph for the function f(x) = 7x after being shifted 6 units to the right is g(x) = 7(x - 6), which is option B.
Explanation:When a graph of the form f(x) = mx is shifted horizontally, this is represented in the equation by manipulating the x variable within the function. A shift to the right by 6 units results in the input value being decreased by 6 before it is multiplied by the slope (in this case, 7). Therefore, the new equation reflecting a horizontal shift to the right is g(x) = 7(x - 6), which corresponds to option B.
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Evaluate the logarithm. ln=1/√e^3
Answer:
option b
-3/2
Step-by-step explanation:
Given in the question an expression
ln[tex]\frac{1}{\sqrt{e^3} }[/tex]
First apply logarithm divide rule
[tex]ln\frac{1}{\sqrt{e^3} }[/tex] = ln1 - ln√e³
ln(1) = 0
so
ln1 - ln√e³ = 0 - ln√e³
-ln√e³ = -ln(e³)^1/2
Apply logarithm power rule
- ln(e³)^1/2 = -lne[tex]^\frac{3}{2}[/tex]
-3/2ln(e)
As we know that
ln(e) = 1
so,
-3/2(1)
-3/2
Answer:
b. [tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
The given logarithm is
[tex]\ln(\frac{1}{\sqrt{e^3} } )[/tex]
Use the quotient rule of logarithm; [tex]\ln(\frac{a}{b})=\ln(a)-\ln(b)[/tex]
[tex]=\ln(1)-\ln(\sqrt{e^3})[/tex]
[tex]=\ln(1)-\ln(e^{\frac{3}{2}})[/tex]
Use the power rule; [tex]\ln(a^n)=n\ln(a)[/tex]
[tex]=\ln(1)-\frac{3}{2}\ln(e)[/tex]
Recall that logarithm of 1 is zero and also logarithm of the base is 1.
[tex]=0-\frac{3}{2}(1)[/tex]
[tex]=-\frac{3}{2}[/tex]
11 points each!!
Explain how to find the y-intercept of a graph.
Answer:
You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. The x coordinate will always be 0
Step-by-step explanation:
by seeing at which a point cuts y axis
Enlarge the shapes using the scale factor 1:2
Answer:
the picture is correct
Step-by-step explanation:
Each square on the original shape becomes 2 squares on the enlarged shape, just as you have drawn.
Enlarging shapes using a scale factor of 1:2 involves multiplying each side length by 2.
To enlarge a shape using a scale factor of 1:2, each side length of the shape needs to be multiplied by 2. For example, if a square has sides of length 4 cm, when enlarged with a scale factor of 1:2, each side will become 8 cm. This is because multiplying 4 by 2 gives us 8.
Similarly, if a triangle has side lengths of 6 cm, 8 cm, and 10 cm, when enlarged with a scale factor of 1:2, the new side lengths will be 12 cm, 16 cm, and 20 cm. Each side length is multiplied by 2
Remember, the scale factor tells you how many times larger the new shape will be compared to the original shape. In this case, every length of the shape is being doubled.
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Find the absolute value of the following integers:
a. 9
b. −14
c. 0
d. −135
e. +1,408
1) 9,-9
2) 14
3) 0
4)135
5)-1408, 1408
the absolute value of 9 is 9. the absolute value of -14 is 14. the absolute value of 0 is 0. the absolute value of -135 is 135. the absolute value of 1,408 is 1,408.
A rectangular field has side lengths that measure 5/6 mile and 1/3 mile. What is the area of the field?
Choose some numbers to compare to 55 use = and <,> WHAT NUMBERS COMPARE TO 55
There's literally unlimited answers but here are some simple ones.
5 x 11 = 55
55 = 55
55 > 54
1 < 55
3 x 2 < 55
To compare numbers to 55, choose numbers less than, greater than, or equal to 55 and use the appropriate comparison operator. Examples include 50 < 55 (less than), 55 = 55 (equal to), and 60 > 55 (greater than).
To compare numbers with 55 using the comparison operators >, <, and =, we must choose numbers that are either greater than, less than, or equal to 55. For example:
50 < 55 - Here, 50 is less than 55.55 = 55 - Here, 55 is equal to 55.60 > 55 - Here, 60 is greater than 55.When you are comparing numbers, always remember that a number is greater than another if it represents a larger quantity, and it is less than another if it represents a smaller quantity. The equal sign is used when the quantities are identical.
What does it mean for a number to be irrational?
And irrational number is a number than cannot be written as a simple fraction.
Two good examples of irrational numbers are PI and the square root of 2. These numbers have never-ending decimals, and their decimals never repeat.
Answer:
An irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.
Step-by-step explanation:
You are given the parametric equations x=2cos(θ),y=sin(2θ).x=2cos(θ),y=sin(2θ). (a) list all of the points (x,y)(x,y) where the tangent line is horizontal. in entering your answer, list the points starting with the smallest value of xx. if two or more points share the same value of xx, list those points starting with the smallest value of yy. if any blanks are unused, type an upper-case "n" in them.
The tangent line is horizontal whenever [tex]\dfrac{\mathrm dy}{\mathrm d\theta}=0[/tex].
[tex]\dfrac{\mathrm dy}{\mathrm d\theta}=2\cos2\theta=0\implies2\theta=\dfrac{(2n+1)\pi}2\implies\theta=\dfrac{(2n+1)\pi}4[/tex]
where [tex]n[/tex] is any integer.
I'm guessing you're only interested in one complete loop of the lemniscate. In that case, we're restricted to [tex]0\le\theta\le2\pi[/tex]. Then we get 4 points of interest for [tex]n=0,1,2,3[/tex]:
[tex]\theta=\dfrac\pi4,\dfrac{3\pi}4,\dfrac{5\pi}4,\dfrac{7\pi}4[/tex]
Use a composite figure to estimate the area of the figure. The grid has squares with side lengths of 1.5 cm.
Answer:
about [tex]49.1\ cm^{2}[/tex]
Step-by-step explanation:
The area of the composite figure is approximate to the area of the rectangle plus the area of the semicircle at the top of the rectangle plus the semicircle at the right of the rectangle
Find the area of the rectangle
[tex]A=(3*1.5)(4*1.5)=27\ cm^{2}[/tex]
Find the area of the semicircle at the top of the rectangle
[tex]A=\frac{1}{2}\pi (2*1.5)^{2}=4.5 \pi\ cm^{2}[/tex]
Find the area of the semicircle at the right of the rectangle
[tex]A=\frac{1}{2}\pi (1.5*1.5)^{2}=2.53 \pi\ cm^{2}[/tex]
The area of the composite figure is
[tex]27\ cm^{2}+4.5 \pi\ cm^{2}+2.53 \pi\ cm^{2}=(27+7.03 \pi)\ cm^{2}[/tex]
use [tex]\pi=3.14[/tex]
[tex](27+7.03(3.14))=49.1\ cm^{2}[/tex]
A manufacturer of flashlight batteries took a sample of 13 batteries from a day’s production and used them continuously until they failed to work. The life lengths of the batteries, in hours, until they failed were: 342, 426, 317, 545, 264, 451, 1049, 631, 512, 266, 492, 562, and 298. At the .05 level of significance, is there evidence to suggest that the mean life length of the batteries produced by this manufacturer is more than 400 hours? A. Yes, because the test value 1.257 is less than the critical value 1.782 B. No, because the test value 1.257 is greater than the critical value 1.115 C. No, because the p-value for this test is equal to .1164 D. Yes, because the test value 1.257 is less than the critical value 2.179 Reset Selection
Answer:
A:
Step-by-step explanation:
***I'm pretty sure A should read "NO, because the test value 1.257 is less than the critical value 1.782. Please check the wording of the problem***
H0 : μ ≤ 400
Ha : μ > 400 (claim)
Sample mean: 6,155/13
Sample standard deviation: √44422.4359
Critical test value: t > 1.782
t = (6,155/13 - 400)/[(√44422.4359)/√13] = 1.257
1.257 < 1.782 ; we fail to reject the null hypothesis
There is not enough evidence at the 5% level of significance to support the claim that the mean battery life is at least 400 hours.
How many times greater. Is the value of 8 in 18,272 than the value of 8 in 17,282
1,8272 --- 8,000
17,282 --- 80
8,000÷80=100 times greater
Final answer:
The value of 8 in the number 18,272 (8,000) is 100 times greater than its value in the number 17,282 (80).
Explanation:
The question is asking how many times the value of 8 in 18,272 is greater than the value of 8 in 17,282.
In the number 18,272, the 8 is in the thousands place, making it have a value of 8,000. In the number 17,282, the 8 is in the tens place, giving it a value of 80.
To determine how many times greater the value of 8 is in the first number compared to the second, divide the larger value by the smaller value: 8,000 ÷ 80 = 100.
Therefore, the value of 8 in 18,272 is 100 times greater than in 17,282.
Kate packs snow into 5 identical jars. Each jar represents a different depth of snow. Kate then lets the snow in each jar completely melt. The table shows the height of the liquid in each jar as it relates to the original depth of snow in the jar.
Which statements are true about the relationship between the depth of the snow and the height of water in the jar after the snow is melted? Check all that apply.
The points on a graph representing the relationship lie on a line.
There is 0.4 inch of water to every 1 inch of snow.
A line through the points will pass through (0, 0).
The function relating snow depth to water depth is quadratic.
The data can be represented by f(x) = 0.2x.
Answer:
A, C, E
Step-by-step explanation:
From the table you can see that the water depth cahnges
[tex]0.8-0.4=1.2-0.8=1.6-1.2=2.0-1.6=0.4\ in[/tex]
for every
[tex]4-2=6-4=8-6=10-8=2\ in[/tex] of snow (option B is false).
This means that the function modelling this situation is linear function (option A is true and option D is false). Let the equation of this function be [tex]y=ax+b.[/tex] Then
[tex]0.4=2a+b,\\ \\0.8=4a+b.[/tex]
Subtract these two equations:
[tex]2a=0.8-0.4,\\ \\2a=0.4,\\ \\a=0.2.[/tex]
Hence,
[tex]b=0.4-2\cdot 0.2=0.[/tex]
The equation of the straight line (the graph of linear function) is [tex]y=0.2x.[/tex] (option E is true) This line passes through the point (0,0), because its coordinates satisfy the equation (option C is true).
Answer:
A and C
Step-by-step explanation:
Ok listen here. The guy from the other thing said ACE however thats so wrong that I can't explain how wrong that is. how is it wrong you might ask. Well if you can READ the question you know that you should select 2 options
second of all f(x)=0.2^x is saying that if x equals 2 then y is 0.2*0.2 which is 0.04 which is not the result.
I hope this helps more than whatever answer the other answer was. If not then you gotta figure it out yourself
What is the solution to the equation 1 over 6 multiplied by n equals 2 ? (5 points) n = 3 n = 4 n = 12 n = 36
Answer:
C. [tex]n=12[/tex]
Step-by-step explanation:
We have been given an equation [tex]\frac{1}{6}n=2[/tex]. We are asked to solve our given equation.
To solve for n, we will multiply both sides of our equation by 6 as:
[tex]6\times \frac{1}{6}n=6\times2[/tex]
[tex]n=12[/tex]
Therefore, the solution for our given equation is [tex]n=12[/tex] and option C is the correct choice.
Answer:
C, n = 12
Step-by-step explanation:
I did the test and got it right, and if you doubt my memory I literally just did it and re=checked to make sure it was right. Good luck FLVS student
(Not to mention the other guy with his answer explains why)
Multiplication of fractions can be represented in two ways: _____________ and ____________
Answer:
Is it grouping and adding?
(This is probably wrong, sorry)
Answer:
We can multiply fractions using either a model or a paper and pencil
hopes this helps have a wonderful day
During ___________, reproductive organs start to become mature and secondary growth occurs in males and females due to the release of hormones. A) puberty B) adulthood C) late childhood D) early childhood Eli
During PUBERTY, reproductive organs start to become mature and secondary growth occurs in males and females due to the release of hormones.
Answer= A
During this period, both male and females experience rapid changes.
In males:
• Testes produce sperm and sex hormones (testosterone)
• Height increases rapidly
• Shoulders widen, body becomes more muscular and penis enlarges
• Facial hair grows on chest, in armpits and in pubic regions
• Voice deepens as voice box enlarges
In females:
• Ovaries release mature eggs and produce sex hormones (oestrogen and progesterone)
• Height increases rapidly
• Breasts grow larger, and hips become wider and rounder
• Hair grows in the armpits and pubic regions
• Menstruation starts
Round to the nearest tenth (picture provided)
Answer:
d. 6.3
Step-by-step explanation:
Given [tex]b=3,c=9[/tex] and [tex]A=21\degree[/tex], we can use the cosine rule to find [tex]a[/tex].
The cosine rule is given by;
[tex]a^2=b^2+c^2-2bc\cos(A)[/tex]
We substitute the values to obtain;
[tex]a^2=3^2+9^2-2(3)(9)\cos(21\degree)[/tex]
[tex]a^2=9+81-54\cos(21\degree)[/tex]
[tex]a^2=90-50.4133[/tex]
[tex]a^2=39.5867[/tex]
[tex]a=\sqrt{39.5867}[/tex]
[tex]a=6.2918[/tex]
To the nearest tenth, [tex]a=6.3[/tex]
The table shows Zack's daily pay with respect to the hours he works.What is the rate of change of pay,y, with respect to hours, x?
Answer:
B.
Step-by-step explanation:
63/4= 15.75
The rate of change of pay with respect to hours is $15.75 per hour.
How to find the rate of change of pay?The rate of the change by calculated by dividing the total pay by the corresponding number of hours.
We can find the rate of change of pay with respect to hours as follows:The amount of money he earns is $63 in 4 hours.
Rate of change of pay = $110.25 - $63/7 - 4 per hour
= $15.75 per hour
This is consistent with the other values in the given table.
Rate of change of pay = $141.75 - $110.25/9 - 7 per hour
= $15.75 per hour
Therefore, we have found the rate of change of pay, y, with respect to hours, x to be $15.75 per hour. The correct answer is option B.
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Plz help me
WILL GIVE BRAINLIEST
Answer:
D 2x(3x+4) + 1(3x+4)
Step-by-step explanation:
(2x+1) (3x+4)
We need to FOIL
First 2x*3x = 6x^2
Outer 2x*4 = 8x
Inner 1*3x =3x
Last 1*4 =4
Add them together
6x^2 +8x+3x+4
Combine like terms
6x^2 +11x+4
This process is simply taking 2x (3x+4) and adding 1 (3x+4)
2x(3x+4) + 1(3x+4)
The radius of the circle is ✓2. The distance from the center to the chord is 1. If the measure of AB is 90°, the area of the shaded region is
Answer:
c. (π/2 -1) square units
Step-by-step explanation:
A segment that subtends an arc of θ in a circle of radius r has an area given by ...
A = (1/2)(θ -sin(θ))r² . . . . . where θ is in radians
In your figure, the radius is r = √2 and the angle is 90°, so θ = π/2. Then the area is ...
A = (1/2)(π/2 -sin(π/2))·(√2 units)²
A = (π/2 -1) units²
Beatrice calculated the slope between two pairs of points.
She found that the slope between (-3, -2) and (1, 0) is 12.
She also found that the slope between (-2, -1) and (4, 2) is 12.
Beatrice concluded that all of these points are on the same line.
Use the drop-down menus to complete the statements about Beatrice's conclusion.
Beatrice is (correct/incorrect). All of these points (are/ are not) on the same line because the slope between (-2,-1) and (1,0) (is/ is not) equal to 1/2.
Answer:
Beatrice is incorrect. All of these points are not on the same line because the slope between (-2, -1) and (1, 0), which are coordinates from each of the pairs above, is not equivalent equal to 1/2
Step-by-step explanation:
The answer is: incorrect; are not; is not. Beatrice is incorrect. All of these points are not on the same line because the slopes between (-2,-1) and (1,0) is not equal to [tex]\frac{1}{2}[/tex].
Beatrice is incorrect. All of these points are not on the same line because the slope between (-2,-1) and (1,0) is not equal to 1/2.
Here’s a step-by-step explanation:
First, let’s verify Beatrice’s given slopes. The slope is calculated using the formula:[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex].
For points (-3,-2) and (1,0): [tex]y_2 = 0,\ y_1 =-2,\ x_2=1,\ x_1 = -3[/tex]. So:Since the slopes between these points vary, they do not lie on the same line. All three sets must have the same slope to be considered collinear.
What is the value of x? (Only type the numerical value. Do not type x= before your answer)
ANSWER
12
EXPLANATION
Two expressions for the angles in terms of x are given,
The first one is (10x-20)°
The second one is (6x+8)°
The two angles are angles on a straight line.
The sum of angles on a straight line is 180°.
This implies that,
[tex](10x - 20) \degree + (6x + 8) \degree = 180 \degree[/tex]
Group similar terms,
[tex]10x + 6x= 180 + 20 - 8[/tex]
Combine like terms:
[tex]16x=192[/tex]
[tex]x = \frac{192}{16} = 12[/tex]
Therefore the value of x is 12
The value of x is 12°
AngleAngle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Given
The angles are (10x - 20)° and (6x + 8)°.
To findThe value of x.
How to find the value of x?The angles are (10x - 20)° and (6x + 8)°.
We know that the sum of the angles of the line is 180°. then
(10x - 20)° + (6x + 8)° = 180°
Then simplify the equation, we have
10x - 20 + 6x + 8 = 180
16x - 12 = 180
16x = 180 + 12
16x = 192
x = 12°
Thus, the value of x is 12°.
More about the angles link is given below.
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