Sum of two numbers is -32 what number is two less than the other
Answers
First no. = z
Second no. = z - 2
z + (z - 2) = -32
z + z - 2 = -32
2z - 2 = -32
2z = -32 + 2
2z = -30
z = -30/2
z = -15
First no. = -15
Second no. = -17
Related Questions
Determine the volume and the total surface area of the square pyramid.if its perpendicular height is 12cm and square length is 5cm
Answers
Answer:
Volume = 100 cm³
Surface area of the square pyramid = 145 cm²
Step-by-step explanation:
Given:
Perpendicular height = 12cm
Square length = 5cm
Find:
Volume
Surface area of the square pyramid
Computation:
Area of base = side²
Area of base = 5²
Area of base = 25 cm²
Volume = (1/3)(A)(h)
Volume = (1/3)(25)(12)
Volume = 100 cm³
Surface area of the square pyramid = A + 1/2(P)(h)
Perimeter square pyramid = 4(s)
Perimeter square pyramid = 4(5)
Perimeter square pyramid = 20 cm
Surface area of the square pyramid = 25 + 1/2(20)(12)
Surface area of the square pyramid = 145 cm²
What’s the Y and X Intercept
5x+10y=10
Answers
Answer:
X intercept =6
Y intercept =3
Step-by-step explanation:
hope this helps
The y- intercepts are (0,1)
What is the slope of the line that goes through the points (-4, 5) and (6, 2)?
Answers
-------------------------------------------------------------------------------------------------------------
Answer: \(\textsf{-3/10}\)
-------------------------------------------------------------------------------------------------------------
Given: \(\textsf{Points (-4, 5) and (6, 2)}\)
Find: \(\textsf{Slope of the line that goes between the points}\)
Solution: In order to determine the slope of a line we need to follow the slope formula to determine it. Just plug in the values and simplify.
Plug in the values
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)\(m = \frac{2 - 5}{6 - (-4)}\)Simplify the expression
\(m = \frac{-3}{6 + 4}\)\(m = -\frac{3}{10}\)Using those two points we were able to determine that the slope of the line that goes through the points is -3/10.
An airplane flies 104 miles in 1/2 hour how far can it fly in 1 1/4 hours at the same rate of speed
Answers
It can fly 206 miles In 1 1/4 hours at the same rate of speed.
( please mark brainliest)
Answer:
first one is right
Step-by-step explanation:
how to find the sale price of an item that has been discounted 25%
Answers
Answer:
Multiply the normal price of the item by .25 and then subtract that from the normal price.
Step-by-step explanation
\(x -(x*.25)\)
x is the item
Step-by-step explanation:
100%-25%= discounted price= 75%
You do the discounted price divided by 75 to find 1%
do that times 100 to find the pre-discounted price.
e.g
find the original price of a sweater when it was on sale of 25%. the sale price is £15.00.
£15.00 = 75%
15.00 divided by 75 = 1% =£0.20
£0.20 x 100 = pre-sale price = £20.00
The price of the sweater before the sale is £20.00.
You are welcome xx
QUESTION 1
Use the sine rule to find x. Rationalise and leave your answer in surd form; a+b√c
Use special angles where Sine 30 = and sine 45 = 2x-1 45 2x + 2 30
Answers
It can be seen that x = (3 ± √(9 + 32√3)) / 8, which can be expressed in surd form as (3 + √(9 + 32√3)) / 8 or (3 - √(9 + 32√3)) / 8.
How to solveTo find x using the sine rule, we need to solve the equation:
sine(45) / x = sine(30) / (2x + 2√3)
Simplifying this equation, we have:
(2x - 1) / x = 1 / (2x + 2√3)
Cross-multiplying and simplifying further, we get:
(2x - 1)(2x + 2√3) = x
Expanding the brackets, we have:
\(4x^2 + 4\sqrt3x - 2x - 2\sqrt3 = x\)
Rearranging the terms and simplifying, we get:
\(4x^2 - 3x - 2\sqrt3 = 0\)
Using the quadratic formula, we can solve for x:
x = (-(-3) ± √((-3)^2 - 4(4)(-2√3))) / (2(4))
x = (3 ± √(9 + 32√3)) / 8
Therefore, x = (3 ± √(9 + 32√3)) / 8, which can be expressed in surd form as (3 + √(9 + 32√3)) / 8 or (3 - √(9 + 32√3)) / 8.
Read more about sine rule here:
https://brainly.com/question/20839703
#SPJ1
You start at (0,-4). You move left 1 unit and right 4 units. where do you end?
Answers
If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)
Calculating the endpoint of the pointFrom the question, we have the following parameters that can be used in our computation:
Start = (0, -4)
Also, we have
You move left 1 unit and right 4 units
Mathematically, this can be expressed as
(x, y) = (x - 1 + 4, y)
Substitute the known values in the above equation, so, we have the following representation
Endpoint = (0 - 1 + 4, -4)
Evaluate the expression
Endpoint = (3, -4)
Hence, the endpoint is (3, -4)
Read more about transformation at
https://brainly.com/question/27224272
#SPJ1
Is 6 inches in 10 seconds proportional to 12 inches in 60 seconds?
Answers
Answer: No
Step-by-step explanation:
to be proportional, both numbers have to increase by the same number
because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in
2. Given the situations below, Identify if it is a linear or exponential model or neither.
Explain your reasoning.
a. A savings account that starts with $5000 and receives a deposit of $825 per month.
Answers
Step-by-step explanation:
The situation described can be modeled using a linear equation, where the balance of the savings account increases by a fixed amount every month. Specifically, the equation that represents this situation is:
balance = $5000 + $825 * months
where "months" represents the number of months that have passed since the account was opened. The slope of this line is constant at $825, indicating that the balance is increasing by the same amount every month.
Therefore, the model for this situation is linear.
Which statements about the reflection are true? Check all that apply.
Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.
Clayton could negate both the x and y values in the points to find the points of the image.
C’ will remain in the same location as C because it is on the line of reflection.
C’ will move because all points move in a reflection.
The image and the pre-image will be congruent triangles.
The image and pre-image will not have the same orientation because reflections flip figures.
Answers
The statements that are true are:
Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.
Clayton could negate both the x and y values in the points to find the points of the image.
C’ will move because all points move in a reflection.
The image and the pre-image will be congruent triangles.
The image and pre-image will not have the same orientation because reflections flip figures.
Options A, B, D, E, and F.
What is a reflection?There are two ways of reflection.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
Clayton could use the relationship (x, y) → (y, x) to find the points of the image.
This is the y = x reflection rule.
This is true.
Clayton could negate both the x and y values in the points to find the points of the image.
Reflection of (x, y) along the x-axis and y-axis consecutively will give us
(-x, -y).
This is true.
C’ will remain in the same location as C because it is on the line of reflection.
This is not true.
C’ will move because all points move in a reflection.
This is true.
The image and the pre-image will be congruent triangles.
This is true.
The image and pre-image will not have the same orientation because reflections flip figures.
This is true.
Thus,
All statements are true except the statement:
C’ will remain in the same location as C because it is on the line of reflection.
Learn more about reflections here:
https://brainly.com/question/12463306
#SPJ1
•Taylorann Johnson 3/6/23 3td pero For each parabola, label all parts on the curve. Circle if it is a max or a min. Fill in the points or lines. 1 Name 1. y = x² Opens up or down? Positive Vertex (0.0) Max/Min Axis of Symmetry: x=__ y-intercept (,0) x-intercept(s) or the zeros ( ) [ Parabola Review Domain: (0₁2) Range: (1,8)
Answers
For the given parabola, the parts on the curve should be labeled as follows;
The parabola with the equation y = x² opens up.The vertex of the parabola are (0, 0).The max/min value are equal to (0, 0).The axis of symmetry is x = 0.The y-intercept is equal to (0, 0).The x-intercept or the zeros is (0, 0).The domain is equal to (-∞, ∞).The range is equal to (0, ∞).How to calculate the vertex and axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using the following mathematical expression:
Axis of symmetry, Xmax = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function f(x) = y = x², we have the following:
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(0)/2(1)
Axis of symmetry, Xmax = 0/1 = 0.
Vertex (h, k) = (0, 0).
In conclusion, the domain of this quadratic function f(x) = y = x² are all the x-values that are located on the x-axis of the graph, which include {-∞, ∞} or all real numbers.
Read more on quadratic function here: brainly.com/question/13159926
#SPJ1
A train car is in the shape of a rign 4 41 feet 12 feet 09
Answers
Input data
w = 4.5 ft
l = 12
h = ?
V = 540 ft3
Procedure
\(\begin{gathered} V=w\cdot l\cdot h \\ h=\frac{V}{l\cdot w} \\ h=\frac{540}{4.5\cdot12} \\ h=10 \end{gathered}\)
The answer would be h = 10 feet
Help ASAP please! JKL is a right triangle. JL = 10, KL = 8,
and JK = 6. What is cos L?
Answers
Answer:
Answer B is correct
Step-by-step explanation:
Hey there,
\(cos \; L \;\;= \frac{adjecent}{hypotenuse}\)
\(cos\; L = \frac{8}{10}\)
The answer is,
\(\frac{8}{10}\)
Hope this helps you.
Let me know if you have any other questions :-)
Which expression is modeled by this arrangement of tiles?
Answers
Answer16.2
Step-by-step explanation:
What is the clrcumference of a circle with a diameter of 9 Inches?
28 2/7 in
24 4/7 in
30 in
27 in
Answers
explanation:
use the formula C=2pi(r)
d=2r
if diameter is 9 inches, we know the radius is 9/2 so r is 4.5
plug in 4.5
C=2(pi)(4.5)
C= 28.27 or 28 2/7 in
Cycing The equation y= 1/8x represents the distance y, in kilometers, that Patrick traveled in x minutes while training for the cycling portion of a triathlon. The table shows the distance y Jennifer traveled in x minutes in her training. Who has the faster training rate? 40 64 80 96 Time (min) Distance (km) 5 8 10 12 Click to add text
Answers
The training rate is basically the slope, we can compare the slopes of Patrick and Jennifer to determine whose training rate is faster.
Patrick's slope:
\(y=\frac{1}{9}x\)From the equation, we see that the slope is 1/9 (the coefficient of the variable x is slope)
Jennifer's slope:
We can find the slope for Jennifer by using the given table.
The slope is given by
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where y is the distance (km) and x is the time (mins)
You can select any two x, y pairs from the given table.
Let us select the first two x,y pairs so
\(\begin{gathered} (x_1,y_1)=(40,5) \\ (x_2,y_2)=(64,8) \end{gathered}\)Substitute these points into the above slope formula.
\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{8-5}{64-40}=\frac{3}{24}=\frac{1}{8}\)So, the slope for Jennifer's training is 1/8
Comparison:
\(\begin{gathered} \frac{1}{8}>\frac{1}{9} \\ 0.125>0.111 \end{gathered}\)Since the slope of Jennifer is greater than the slope of Patrick
Therefore, Jennifer has a faster training rate.
Type the correct answer in each box.
Day Amount
1
$26
2
$23
3
$31
4
$26
5
534
The table shows the amount Bill spent on 5 days last week.
The mean of the amount he spent is $
The mean absolute deviation is $
Reset
Next
Answers
The mean absolute deviation is $106.6.
Given the table shows the amount Bill spent on 5 days last week.
DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.
Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,
the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:
Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406
The sum of all absolute deviations is:
10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.
For more question deviation
https://brainly.com/question/475676
#SPJ8
Two trains leave stations 396 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels
at 100 miles per hour. How long will it take for the two trains to meet?
Answers
Answer:
It will take 2.2 hours for the trains to meet.
Step-by-step explanation:
Given,
Distance between two trains = 396 miles
Speed of one train = 95 mph
Speed of other train = 85 mph
Combined speed of trains = 95+85 = 180 mph
Distance = Speed * Time
Time =
Time =
Time = 2.2 hours
It will take 2.2 hours for the trains to meet.
Keywords: speed, distance
Learn more about distance at:
brainly.com/question/13219835
brainly.com/question/1836777
#LearnwithBrainly
Step-by-step explanation:
40 - [(8 x 7) - (5 x 6)] need the work also
Answers
\(\bold{Hello!}\\\bold{Your~Answer~Is~Below!}\)
______________________________
\(\bold{Solution~Steps:}\)
\(1.)~Multiply~the~parenthesis:\)
\(\bold{8}\) × \(\bold{7=56}\)\(\bold{5}\) × \(\bold{6=30}\)\(2.)~Subtract~the~parenthesis:\)
\(\bold{[56-30]=26}\)\(\bold{When~there~are~2~sets~of~parentheis~you~have~to~solve~according~to~order.}\)\(3.)~Subtract~on~the~side~without~an~equal:\)
\(\bold{40-26=14}\)\(\bold{14=14}\)______________________________
\(\bold{Answer:}\)
\(\bold{The~exact~form~of~this~expression~is~\boxed{14=14}}\)______________________________
\(\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~~-TotallyNotTrillex}\)
The following are the annual incomes (in thousands of dollars) for 8 randomly chosen, U.S. adults employed full-time.
44, 44, 54, 54, 65, 39, 54, 44
Send data to calculator
(a) What is the mean of this data set? If your answer is not an
integer, round your answer to one decimal place.
(b) What is the median of this data set? If your answer is not
an integer, round your answer to one decimal place.
(c) How many modes does the data set have, and what are
their values? Indicate the number of modes by clicking in the
appropriate dircle, and then indicate the value(s) of the
mode(s), if applicable.
0
Zero modes
one mode:
Two modes:
Answers
Answer:
(a) To find the mean of the data set, sum up all the values and divide by the total number of values.
44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398
Mean = 398 / 8 = 49.75
Rounded to one decimal place, the mean of this data set is 49.8.
(b) To find the median of the data set, i need to arrange the values in ascending order first:
39, 44, 44, 44, 54, 54, 54, 65
The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:
(44 + 54) / 2 = 98 / 2 = 49
Rounded to one decimal place, the median of this data set is 49.0.
(c) To determine the modes of the data set, identify the values that appear most frequently.
In this case, the mode refers to the value(s) that occur(s) with the highest frequency.
From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.
Find the sum of the complex numbers (3+3i)+(8+7i)
Answers
Answer:
11 + 10i
Step-by-step explanation:
Just treat i like any other variable, and combine like terms. Hope that helps!
A training field is formed by joining a rectangular and two semicircles. The rectangle is 95 m long and 74m wide. Find the area
Answers
If you are finding the area you do L x W (Length x width) so 95m x 74m = 7020m2
Answer:
7030
Step-by-step explanation:
The area is calculated by multiplying the lengths of two adjacent sides of a rectangle.
To find the area of a rectangle, multiply the length by the width.
Formula: A = L * W where A is the area, L is the length, W is the width, and * means multiply.
Since the length is 74 and width is 95.
Multiply 74 with 95, you get 7030.
So the answer is 7030, this can be also written as "A = 74 * 95".
The rate of auto thefts doubles every 5 months.
(a) Determine, to two decimal places, the base b for an exponential model y = Abt of the rate of auto thefts as a function of time in
months.
(b) Find the tripling time to the nearest tenth of a month.
months
Answers
I think first one is the answer
mark me as branlist and follow me
decrease of 65% is the same as multiplying by what
percent?
Answers
Answer:
35%
Step-by-step explanation:
A decrease of 65% would be the same as multiplying the value by 35%.
100% - 65% = 35%
Let's use an example.
You have $150 dollars in stock and it decreases by 65%
150 - (.65*150) =
150 - 97.5 = $52.50
Now let's just multiply $150 by .35 (which is 35%)
150 * .35 = $52.50
It's the same!
find x on this special right triangle, 45 is not an option!!!!
Answers
let the line between 2 tria be y
sin 60/8√2 = sin 90/y
y=13.06
sin 45/13.06 = sin 90/x
x=18.46
Answer:
First, find the hypotenuse of the right triangle with the 60° & 30°.
Hypotenuse = hsin(x) = opposite side/hypotenuse\(sin(60) = \frac{8\sqrt{2}}{h} \\\\sin(60)h=8\sqrt{2}\\\\\frac{\sqrt{3}}{2} h=8\sqrt{2}\\\\h=\frac{8\sqrt{2}}{\frac{\sqrt{3}}{2}}=8\sqrt{2}*\frac{2}{\sqrt{3}} =\frac{16\sqrt{2} }{\sqrt{3}} =\frac{16\sqrt{2}(\sqrt{3}) }{\sqrt{3}(\sqrt{3})} =\frac{16\sqrt{6} }{3}\)
Use that side length to find x.
sin(x) = opposite side/hypotenuse\(sin(45)=\frac{\frac{16\sqrt{6}}{3}}{x}\\\\sin(45)x=\frac{16\sqrt{6}}{3} \\\\\frac{\sqrt{2}}{2}x=\frac{16\sqrt{6}}{3} \\\\x=\frac{\frac{16\sqrt{6}}{3}}{\frac{\sqrt{2}}{2}}=\frac{16\sqrt{6}}{3}*\frac{2}{\sqrt{2}}=\frac{16\sqrt{2}\sqrt{3}(2)}{3\sqrt{2} }=\frac{32\sqrt{3} }{3}\)
Simplify 14 divide by 2+5 x 4
Answers
Answer:
27
Step-by-step explanation:
14/2+5 x 4
7+20
27
Answer:
27
Step-by-step explanation:
14 divided by 2 + 5 x 4
5 x 4 first (pemdas)
5 x 4 is 20
14 / 2 = 7
7 + 20 = 27
if you don’t know pemdas it’s:
p arenthases
e xponents
m ultiply
d ivide
a dd
s ubtract
Bianca can walk 5/6 of miles 1/3 of an hour. What is her walking speed,in miles per hours?
Answers
Answer:
Step-by-step explanation:
To find Bianca's walking speed, we need to divide the distance she walks by the time it takes her to walk that distance. We can do this by converting both the distance and time to the same unit of measure.
Since 1 hour is equal to 60 minutes, 1/3 of an hour is equal to 1/3 * 60 minutes = 20 minutes. Now that we have the distance in miles and the time in minutes, we can divide the distance by the time to find Bianca's walking speed.
5/6 of a mile is equal to 5/6 * 1 mile = 0.83 miles. So, Bianca's walking speed is 0.83 miles / 20 minutes = 0.0415 miles per minute. To convert this to miles per hour, we can multiply by the conversion factor of 60 minutes per hour. This gives us a walking speed of 0.0415 miles/minute * 60 minutes/hour = 2.49 miles per hour. So, Bianca's walking speed is 2.49 miles per hour.
The time it takes to charge the battery of a cell phone is directly proportional to the charge of the battery.
The equation, y = 0.21x, is used to approximate the time it takes to charge the battery of a cell phone.
Cell Phone Battery Charge
100
70
60
Bettery Charge (%)
SON
40
BO
20
NON
Time (AM)
Approximate how long it will take the battery to charge to 100%.
4 hours
7 hours
6 hours
5 hours
Please help me
Answers
Answer:
4 i believe
Step-by-step explanation:
Im so sorry if this is wrong and for being late
The time taken by the cell phone battery to charge 100% is 5 hours.
What is a linear equation?A linear equation is defined as a equation that has either one or two variables without exponents. A linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
For the given situation,
The equation is y = 0.21x.
The time taken by the cell phone battery to charge to 100%,
⇒ \(100\% = 0.21x\)
⇒ \(100\%=1\)
Thus, \(1=0.21x\)
⇒ \(x=\frac{1}{0.21}\)
⇒ \(x=4.76\) ≈ \(5\)
Hence we can conclude that the time taken by the cell phone battery to charge 100% is 5 hours.
Learn more about linear equations here
https://brainly.com/question/10439298
#SPJ2
Determine all pairs of real numbers a and b so that the following function, f(x),
is differentiable at all real values, x.
f(x) =
x- x^2, if x ≤ 1
x^2 - 5x + 4/ square root ax, if 1
sin(x-4)/x+b, if x > 4
1.Using the Chain Rule, show that the following statements are always true:
(a) If f(x) is an odd function then f'(x) is an even function.
(b) If f(x) is an even function then f’(x) is an odd function.
Answers
If f(x) is an odd function then f'(x) is an even function, a=7 and b=5.
What are functions?A relation is any subset of a Cartesian product.
As an illustration, a subset of is referred to as a "binary connection from A to B," and more specifically, a "relation on A."
A binary relation from A to B is made up of these ordered pairs (a,b), where the first component is from A and the second component is from B.
Every item in a set X is connected to one item in a different set Y through a connection known as a function (possibly the same set).
A function is only represented by a graph, which is a collection of all ordered pairs (x, f (x)).
Every function, as you can see from these definitions, is a relation from X.
According to our question-
dy/dx = f'(x) = limΔx→0f(x+Δx)−f(x)Δx lim Δ x → 0
Hence, If f(x) is an odd function then f'(x) is an even function, a=7 and b=5.
Learn more about function here:
brainly.com/question/2253924
#SPJ1
I need the answers for the table below.
Answers
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
Learn more on functions : https://brainly.com/question/12634120
#SPJ1