Answer:
3 ounces of water
Step-by-step explanation:
Ratios are equivalent:
6:4 is equivalent to 3:2
Alex deposits $4,000 in a savings account that pays 5% interest, compounded semiannually. What is his balance after one year?
Answer:
$4400
Step-by-step explanation:
I just looked up on google what was 4000 + 10%
Hope this helps!
Gina Wilson unit 4 homework 10 parallel and perpendicular lines PLEASE HELP
Answer/Step-by-step Explanation:
To determine if segment AB and CD are parallel, perpendicular, or neither, calculate the slope of each.
✍️If the slope of AB and CD are the same value, then they are parallel.✅
✍️If the slope of one is the negative reciprocal of the other, then they are perpendicular.☑️
✍️If their slopes are different, or the slope of one is not the negative reciprocal of the other, then they are neither.❌
1. AB formed by (-2, 13) and (0, 3)
CD formed by (-5, 0) and (10, 3)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 13}{0 -(-2)} = \frac{-10}{2} = -5 [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{10 -(-5)} = \frac{3}{15} = \frac{1}{5} [/tex].
☑️-5 is the negative reciprocal of ⅕, therefore segments AB and CD are perpendicular
2. AB formed by (3, 7) and (-6, 1)
CD formed by (-6, -5) and (0, -1)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{-6 - 3} = \frac{-6}{-9} = \frac{2}{3} [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 -(-5)}{0 -(-6)} = \frac{4}{6} = \frac{2}{3} [/tex].
✅Segment AB and CD have the same slope value of ⅔. Therefore, they are parallel.
3. AB formed by (-6, 2) and (-2, 4)
CD formed by (-1, 11) and (5, -7)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 2}{-2 -(-6)} = \frac{2}{4} = \frac{1}{2} [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-7 - 11}{5 -(-1)} = \frac{-18}{6} = -3 [/tex].
❌The slopes of Segments AB and CD are not the same (½ and -3). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
4. AB formed by (-3, 8) and (2, 3)
CD formed by (-4, 6) and (-8, 2)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 8}{2 -(-3)} = \frac{-5}{5} = -1 [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 6}{-8 -(-4)} = \frac{-4}{-4} = 1 [/tex].
❌The slopes of Segments AB and CD are not the same (1 and -1). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
5. AB formed by (-8, -1) and (-4, 2)
CD formed by (0, -3) and (12, 6)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 -(-1)}{-4 -(-8)} = \frac{3}{4} [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 -(-3)}{12 - 0} = \frac{9}{12} = \frac{3}{4} [/tex].
✅Segment AB and CD have the same slope value of ¾. Therefore, they are parallel.
6. AB formed by (6, 5) and (3, -1)
CD formed by (2, -5) and (-4, 7)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - 5}{3 - 6} = \frac{-6}{-3} = 2 [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 -(-5)}{-4 - 2} = \frac{12}{-6} = -2 [/tex].
❌The slopes of Segments AB and CD are not the same (2 and -2). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
To determine if the given equations are parallel, perpendicular, or neither, ensure both equations are in the slope-intercept form, y = mx + b, where m is the slope.
7. 3x + 2y = 6 and y = -³/2x + 5
Rewrite the first equation in slope-intercept form
3x + 2y = 6
2y = -3x + 6
y = -3x/2 + 6/2
y = -³/2x + 3
The slope of the first equation is -³/2.
The slope of the second equation is -³/2.
✅Both equations have the same slope value of -³/2. Therefore, they are parallel.
8. 3y = 4x + 15 and 9x + 12y = 12
Rewrite both equations in slope-intercept form.
3y = 4x + 15
y = 4x/3 + 15/3
y = ⁴/3x + 5
And
9x + 12y = 12
12y = -9x + 12
y = -9x/12 + 12/12
y = -¾x + 1
The slope of the first equation is ⁴/3.
The slope of the second equation is -¾..
☑️-¾ is the negative reciprocal of ⁴/3. Therefore both AB equations are perpendicular.
9. 8x - 2y = 4 and x + 4y = -12
Rewrite both equations in slope-intercept form.
8x - 2y = 4
-2y = -8x + 4
y = -8x/-2 + 4/-2
y = 4x - 2
And
x + 4y = -12
4y = -x - 12
y = -x/4 - 12/4
y = -¼x - 3
The slope of the first equation is 4.
The slope of the second equation is -¼..
☑️-¼ is the negative reciprocal of 4. Therefore both AB equations are perpendicular.
10. 3x + 2y = 10 and 2x + 3y = -3
Rewrite both equations in slope-intercept form.
3x + 2y = 10
2y = -3x + 10
y = -3x/2 + 10/2
y = -³/2x + 5
And
2x + 3y = -3
3y = -2x - 3
y = -⅔x - 1
The slope of the first equation is -³/2.
The slope of the second equation is -⅔.
❌The slopes of the first equation and second equation are not the same (-³/2 and -⅔). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
11. -4y = -2x + 8 and 3x - 6y = 6
Rewrite both equations in slope-intercept form.
-4y = -2x + 8
y = -2x/-4 + 8/-4
y = ½x - 2
And
3x - 6y = 6
-6y = -3x + 6
y = -3x/-6 + 6/-6
y = ½x - 1
The slope of the first equation is ½.
The slope of the second equation is ½.
✅Both equations have the same slope value of ½. Therefore, they are parallel.
12. y = 8 and x = -1
The first equation is a horizontal line. The slope of am horizontal line is always zero.
The second equation is a vertical line. The slope of a vertical line is undefined.
❌Therefore, they are neither parallel nor perpendicular.
Given a function described as equation y = 3x + 4, what is y when x is 1,2, and 3
Answer:
when x=1 y=7, when x=2 y=10, when x=3 y=13
Step-by-step explanation:
M=3 (-4,-7) PLease include steps!!( I will give brainliest)
Answer:
65
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
Alyssa performed an experiment to measure the acceleration of a falling ball. She ran the experiment many times. Her results were distributed normally, with a mean of 9.75 meters per second and a standard deviation of 0.08 meters per second. Alyssa can be 95% sure that her next measurement will fall between the values of and meters per second.
Answer:
Alyssa can be 95% sure that her next measurement will fall between the values of 9.59 and 9.91 meters per second.
Step-by-step explanation:
I just took the test and got it right
The 95% measurement will fall between 9.59 m/s and 9.91 m/s
Given;
the mean of the normal distribution, m = 9.75 m/s
standard deviation from the mean, d = 0.08 m/s
To find:
the range of Alyssa's 95% data
let this range = X
The 95% of the data will fall within 2 standard deviation below and the above the mean.
2 standard deviation below the mean = m - 2d
2 standard deviations above the mean = m + 2d
From the given values, m - 2d = 9.75 - 2(0.08) = 9.59 m/s
m + 2d = 9.75 + 2(0.08) = 9.91 m/s
Thus, the range of the 95% data = 9.59 m/s < X < 9.91 m/s
To learn more about standard deviation, please visit: https://brainly.com/question/22826298
What is -7.9? I really need help ASAP
Answer:
Negative 7.9
Step-by-step explanation:
-7.9 is just negative 7.9.
Do you need this as fraction? If you do, I can help ^^
round 8.193 to the nearest hundredth
Answer:
i looked it up and nothing is showing
Step-by-step explanation:
Ronda graphs a point B in Quadrant | on the coordinate plane, so that the point B is 1 1/2 units away from point A. What are the coordinates of point B?
Answer:
It's (1/2 , 1/2)
Step-by-step explanation:
The required coordinate of point B is given as (x + 1 1/2) and (y + 1 1/2).
Given that,
Ronda graphs point B in Quadrant | on the coordinate plane so that point B is 1 1/2 units away from point A.
Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
Here,
Let the coordinate of the point A be (x, y)
According to the given condition,
Coordinate of the B is given as,
B = [x + 1 1/2] , [y + 1 1 /2]
Thus, the required coordinate of point B is given as (x + 1 1/2) and (y + 1 1/2).
Learn more about coordinate here:
brainly.com/question/13498438
#SPJ5
4d + 3 - d + c Simplified Answer-Type Answer Here,
What is the slope of the line shown below?
Answer: The slope of the line can be determined from the gradient equation, rise (y axis)/ run (x-axis)
Hence let (-1, 8) be A and (2, -4) be B. The slope from A to B is (-4-8)/(2-(-1))= (-12)/3= -4
Hence the gradient/ slope of the line is -4.
Step-by-step explanation:
7 4/10 greater than 7.421
Answer:
False
Step-by-step explanation:
7 4/10= 7.4
7.4<7.421
Use the function to solve the question. What is f(-3) ?
Answer:
-3 f
ithink
Step-by-step explanation:
We are told that x is -3. Based on the side conditions of this piecewise function, we evaluate the top portion only.
f(-3) = -1/2(-3) + 4
Take it from here.
giving 30 points &’ brainliest to whoever can help w there two questions!!
Answer:
binomial and not a polynomial
If 1 and 2/3 cups of something fills 3/4 of a container, how many cups fill the container
Answer:
64
Step-by-step explanation:
....................
Answer:
10.7%
Step-by-step explanation:
Hope this helps :)
Which expression is equivalent to 7 (x + 4)?
Answer:
7 times 5x
Step-by-step explanation:
4 plus x and x has value
Answer:
one could be (7*x) (7*4)
Step-by-step explanation:
{ consonants in the word MATHS}
Answer:
M, t, h, and s are the consonants in the word maths.
Answer:
If you are asking for a definition, a constant is the letter in aan algebraic expression that never changes.
For Example: 5x + y
y is the constant.
Which expression is equivalent to -4 - 9?
A. 4 + 9
B. 4 - 9
C. -4 + (-9)
D. -4 + 9
Answer:
C
Step-by-step explanation:
-4-9= -13
-4 + (-9) = -13
Solve for e 0.75(8+e)=2-1.25e
WHAT ARE THE X AND Y INTERCEPTS FOR THIS??
PLEASE ANSWERRRRR
Answer:
Y-intercept = 0.4
X-intercept = 0.3
Step-by-step explanation:
how many degrees matches to the radian measure of π/2
Answer:
π/2 = 90°
Step-by-step explanation:
Given that,
Radian measure = π/2
The formula used to convert radian measure to degree measure is given by :
[tex]\text{Degrees}=\dfrac{180^{\circ}}{\pi}\times \text{radians}\\\\=\dfrac{180^{\circ}}{\pi}\times \dfrac{\pi}{2}\\\\=90^{\circ}[/tex]
So, the degree matches for π/2 is 90°.
Please help
What is 1. answer abc
What is 2. abcd
What is E and F
Also what is x
Help
Answer:
Step-by-step explanation:
1 × a = a
a² = a*a ; a³ = a*a*a .....
[tex](\frac{a}{b}) ^{n} = \frac{a^{n} }{b^{n} }[/tex]
(1).
(a). [tex]7^{5}[/tex]
(b). [tex](\frac{1}{7}) ^{6}[/tex] = [tex]\frac{1}{7^{6} }[/tex]
(c). [tex](9.3)^{9}[/tex]
(2).
(e). [tex](\frac{1}{2} )^{4} =\frac{1}{2^{4} }[/tex] = [tex]\frac{1}{2*2*2*2}[/tex] = [tex]\frac{1}{16}[/tex]
(f). [tex](\frac{1}{3} )^{2}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{1}{9}[/tex]
(3).
x² = 30² + 16² = 900 + 256 = 1156 = 34² ⇒ x = 34 units
Choose the equation that is true.
345 – 15 = 15 - 345
18 + 0 = 0 + 18
3 + 8 = 7 + 5
5 + 4 + 2 = 6 + 3 + 1
Complete the proof.
Given:
CM I AB
23 = 24
Prove:
AAMC ABMC
C
34
12
M
А
B
Ich
find the value of x
help
Answer:
6.7
Step-by-step explanation:
This is trigonometry. We will have to find the opposite leg and the hypotenuse is given to us as 10. So we will have to use sin.
Soh in Soh cah toa
So sin(42)=x/10
10 times sin(42)=x
Evaluate using a calculator=6.69130606 and so on
Rounded to the nearest tenth is 6.7
So the answer is 6.7
what is 2/3 divdided by 1/6
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Please help 30 points plus brainlyist who does first
Determine which expressions can be simplified further, and which cannot. Sort the expressions into the correct
category
2x + 3y
Can Be Simplified
Cannot Be Simplified
x + x
4r +
7y + 1
4y + 4x
y + 2y
Answer:
Step-by-step explanation:
expresion can be simplified is they have like terms such as
x+x=2x
y+2y=3y
expresions can NOT be simplified if they have difrerent variables or just one number suchh as
2x+3y
7y+1
4y+4x
I do not know what is 4r+
Answer:
can - y +2y
9x+6x
4x+x
can't 4y+4x
7y+1
2x+3y
Find the slope of the line.
HELP!!! this is due in 5mins...will give brainliest-
The width and length of a rectangle (in feet) are consecutive odd integers. If the length is increased by 9 feet, the area of the resulting rectangle is 80 square feet. What is the area of the original rectangle?
55
35
25
Answer:
66
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
No explanation bc due in 5 mins
Raju bought a book for Rs.35.65. He gave Rs.50 to the shopkeeper. How much money did he get back from the shopkeeper?
I Hope this helps u out