Answer:
8 Feet below the surface
Step-by-step explanation:
If the salmon were initially 5 feet below the surface, and then travelled down an additional 3 feet from the initial 5, then the new position would be 8 feet down relative to the surface.
You can write this as -5 + -3 = -8, assuming that 0 represents surface level.
Cheers.
The distance of salmon from the surface of the water is 8 feet.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
Given that,
The distance of school of salmon for the surface of the river = 5 feet.
Since, to escape a hungry bear, the school of salmon went down to 3 feet.
The position of the salmon to the surface = 5 + 3 = 8 feet.
The required distance of school of salmon from the surface of water is 8 feet.
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CAN SOMEONE PLEASE HELP ME
Answer:
Option 3
Step-by-step explanation:
AX and XB are congruent because we know that CD is a perpendicular bisector of AB.
The word "bisector" indicates that AB is cut into two equal parts, which allows us to make that claim.
<AXC≅<BXC because they are both equal to 90 degrees. This is because perpendicular means that the two lines are meeting at a 90-degree angle. Since both of them are 90 degrees, they are congruent.
Lastly, we know that XC ≅ XC since they are the same side.
With that in mind, we are able to prove that triangle AXC and BXC are congruent by SAS or side angle side. (The angle is between the two sides)
The correct choice would be option 3.
A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4,500. Write and solve an absolute value inequality to determine the range of salaries at this company.
|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000
1. F(x) = (x-1)2 + 5
What is Transformation for this function
Answer: f(x)= 2x+3
Step-by-step explanation: f(x)=(x-1)2+5
2x-2+5
F(x)=2x+3
the lowest temperature ever recorded on Earth is -94.7 this was recorded in August 2010 in Antarctica. Before this date, the previous record was at -89.2 What is the difference between these two extreme temperatures?
Answer:
5.5
Step-by-step explanation:
The lowest temperature ever recorded on Earth is =-94.7
Before this date, the previous record was at= -89.2
the difference between these two extreme temperatures=-89.2-(-94.7)
=-89.2+94.7
=5.5
The difference between these two extreme temperatures is 5.5
If f(x)=x^4+4 and g(x)=x-8 then what is f of
g(x)
Answer:
x⁴-32x³+384x²-2048x+4100
Step-by-step explanation:
f(g(x))= g(x)⁴+4
and simplify it
Find an angle between 0° and 360° that is coterminal with –150°.
Answer:
210 degrees
Step-by-step explanation:
-150 + 360 = 210
The angle between 0° and 360° is 210°
What is angle?In plane geometry a figure is formed by "two ray or lines and that shares same point is called an angle".
What is co terminal angle?Co terminal are angles in "standard position (angles with initial side along the positive x-axis) they have common terminal side".
According to the question,
The co terminal angle is 150°. The plane is formed by angle between 0° and 360°. In order to find angle is 150° + 360° = 210°.
Hence, the angle between 0° and 360° is 210°.
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Kalila Winston worked for a software company for 26 years. She became permanently disabled and could no longer keep her job. She was 52 years old and had planned to work until she was 62. Her final salary was $43,000. Her rate of benefits was 2%. What is Kalila's monthly disability benefit?
Answer:
The monthly disability benefit is $2580
Step-by-step explanation:
Given
[tex]Final\ Salary\ (P) = \$43000[/tex]
[tex]Age = 52[/tex]
[tex]Benefit\ Rate (R) = 2\%[/tex]
Worked = 26 years
Expected = 62 years
Required
Determine the monthly disability benefit
First, we need to determine the years (T) left for her to work;
[tex]T = Expected - Worked[/tex]
[tex]T = 62 - 26[/tex]
[tex]T = 36[/tex]
Next, is to calculate the yearly disability benefit as follows;
[tex]Benefit = PRT[/tex]
Substitute 36 for T, 2% for R and 43,000 for P
[tex]Benefit = 43000 * 2\% * 36[/tex]
Convert percentage to decimal
[tex]Benefit = 43000 * 0.02 * 36[/tex]
[tex]Benefit = 30960[/tex]
There are 12 months in a year;
So; Monthly Benefit is as follows;
[tex]Monthly = \frac{30960}{12}[/tex]
[tex]Monthly = \$2580[/tex]
Hence, the monthly disability benefit is $2580
If y represents a number, write an expression that represents the sum of y and a number one greater than y
Answer:
2y+1=0
Step-by-step explanation:
a number one greater than y is y+1
so sum of y and y+1= 2y+1
Answer:
2y+1=0
Step-by-step explanation:
a number one greater than y is y+1
so sum of y and y+1=2y+1
hope its helpful
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3X -5 equals negative 2X +10
Answer:
[tex]5x= 15[/tex]
Step-by-step explanation:
Given
[tex]3x - 5 = -2x +10[/tex]
Required
Write the variables and constants on different sides
[tex]3x - 5 = -2x +10[/tex]
Add 2x to both sides
[tex]2x + 3x - 5 =2x -2x +10[/tex]
[tex]5x - 5 =10[/tex]
Add 5 to both sides
[tex]5x - 5 + 5 = 10 + 5[/tex]
[tex]5x= 10 + 5[/tex]
[tex]5x= 15[/tex]
Hence, the equation is
[tex]5x= 15[/tex]
Solving further [divide both sides by 5]
[tex]x = 3[/tex]
I think it is -5=x
Step-by-step explanation:
pam opened a bank account with a $200 deposit the acount had a simple intrest rate of 4.6% her most recent bank statement showed a balence of $328.80 if she made no deposits or withdrawels how long ago was the bank acount opened
Plz explain
Answer:
14 years
Step-by-step explanation:
To find the answer you have to use the formula to calculate time:
t=(1/r)(A/P-1), where:
t=time
r=rate of interest=4.6%
A=accrued amount=$328.80
P=principal amount=$200
t=(1/0.046)*(328.80/200-1)
t=21.74*(0.644)
t=14
According to this, the answer is that she opened the bank account 14 years ago.
−10x + 6(x − 5) = 12x − 62
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
So we have:
[tex]-10x+6(x-5)=12x-62[/tex]
Distribute:
[tex]-10x+6x-30=12x-62[/tex]
Combine like terms:
[tex]-4x-30=12x-62[/tex]
Subtract 12x from both sides:
[tex]-16x-30=-62[/tex]
Add 30 to both sides:
[tex]-16x=-32[/tex]
Divide both sides by -16:
[tex]x=2[/tex]
And that's our answer :)
Answer: x=2
Step-by-step explanation:
first you distribute -10x+6x-30=12x-62
then combine all like terms -16x=-32
then divide -16x/-16=-32/-16
answer x=2
Suppose y varies inversely with x, and y = 3 when x = 1/3. What is the inverse variation equation that relates x and y ?
Answer:
y = [tex]\frac{1}{x}[/tex]
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 3 when x = [tex]\frac{1}{3}[/tex] , then
3 = [tex]\frac{k}{\frac{1}{3} }[/tex] ( multiply both sides by [tex]\frac{1}{3}[/tex] )
3 × [tex]\frac{1}{3}[/tex] = k
1 = k
y = [tex]\frac{1}{x}[/tex] ← equation of variation
The distance between-3 and its opposite is ? ..... units
Answer:
6
Step-by-step explanation:
The opposite of -3 is 3. Opposite numbers are numbers that when added, sum to 0. The distance between 3 and -3 is |3 - (-3)| = |3 + 3| = |6| = 6.
Is the range correct for this problem?
Answer:
See below.
Step-by-step explanation:
So, looking at the graph (and you graphed correctly, so nice job :D ) we can see that the range (the span of y-values) covered by the graph is everything less than or equal to 0. Therefore, our range should be all values less than or equal to 0. And this includes 0.
Therefore, in interval notation, our answer is:
[tex](-\infty,0][/tex]
Your answer of:
[tex](0,-\infty)[/tex]
is incorrect for 2 reasons.
First, we need to use brackets for the 0 since we include it in our solution set. (5,0) is a valid point in the equation (it's also the vertex). Thus, we need to use brackets.
Second, traditionally, the smaller unit comes first. 0 is technically greater than negative infinity. Yes, the graph does go from 0 to negative infinity, but conventionally, we would still write negative infinity first.
And everything else is correct (maybe you forgot to add "flipped over x-axis for the first question," however?) so nice work!
Answer quick please and thank you
===================================================
Work Shown:
L = length = 2 cm
W = width = 2 cm
H = height = 3 cm
SA = surface area of rectangular prism (aka rectangular block)
SA = 2*(LW + LH + WH)
SA = 2*(2*2 + 2*3 + 2*3)
SA = 2*(4+6+6)
SA = 2*(16)
SA = 32 square cm
FUNCION AFÍN O LINEAL. Una empresa de gas cobra el servicio del siguiente modo: un cargo fijo de $140, mas un importe por el consumo mensual a razon de $25 el m3. A) ¿cuanto debera abonar la familia a la que se le registro un consumo de 140 m3 en el mes de mayo? (Los meses no es de importar :3) B) ¿cual es la formula que define esta funcion para un numero "x" de m3 consumidos? C) representar graficamente la situacion planteada D) ¿que representa en este caso la ordenada al origen? Si alguien me ayuda, de verdad se lo agradezco
Answer:
El costo es:
Primero tenemos un cargo fijo de $140.
Luego tenemos un $25 por cada m^3 consumido.
Entonces, si tenemos x m^3 consumidos en un mes, el cargo de ese mes va a ser:
C(x) = $140 + $25*x.
Esto es una relación linear.
A) En este caso tendríamos x = 140
C(140) = $140 + $25*140 = $3640
B) La formula es, como ya escribimos arriba, C(x) = $140 + $25*x.
C) El grafico estará al final. En el podemos ver que la linea corta el eje vertical en y = $140, que seria lo minimo que se puede pagar al mes, en el caso de que el consumo sea x = 0.
D) La ordenada al origen es $140, representa el cargo fijo que no depende de la variable x.
a submarine is 50 meter below sea levl. it goes up 15 meters, then goes down 40 meters. what is the submarine' new position relative to sea level ? 1. ( -105 meters) 2. ( -75meters) 3.( -35 meters) 4. ( 25 meters)
Answer:
-75 meters
Step-by-step explanation:
First, subtract 15 from 50, since it is going up:
50 - 15
= 35
Then, add 40, since it is going back down:
35 + 40
= 75
So, the new position is -75 meters relative to sea level
First condition of submarine=50 m below the sea=-50 m
It goes up 15 m, that means we must add up 15 m.
-50 m+15 m=
15 m-50 m=-35 m (35 m below the sea)
And, then goes down 40 m, so we subtract it with 40 m.
-35 m-40 m=-75 m (75 m below the sea)
So, the right answer is 2. (-75 meters)
Thank you.
Can someone help me find the answer to these 3 problems if so thank you .
Answer:
1. r+s²=49
2. pq²=24
3. -4xy-6x²+2x²y-6y= -54
Step-by-step explanation:
1. r+s²=0+7²=49
2. pq²=(6)(2)²=6(4)=24
3. -4xy-6x²+2x²y-6y= -4(3)(2)-6(3)²+2(3)²(2)-6(2)
= -24-6(9)+2(9)(2)-12
= -24-54+36-12
= -78+36-12
= -42-12
= -54
What is 1/6 times 1/8
Answer:
1/48 or 0.02083 in decimal form
Step-by-step explanation:
Answer:
1/48
Step-by-step explanation:
1*1=1
6*8=48
Need help ASAP! Choose the numbers that are irrational. 1. 0. 87 repeating 2. 3.624 3. √2 4. 0. 6 repeating 5. -5 6. 1 over 3 7. Pi. I couldn't use the symbol
Answer:
√2, pi.
Step-by-step explanation:
An irrational number cannot be written as a fraction a/b where a and b are integers ( not = 0)..
The three medals earned in the Olympics are the gold, silver, and bronze medals. In the 2014 Winter Olympics, the United States had 28 total medal winners. There were two more gold medals than sivler medals, and the number of bronze medals was four less than the sum of the number of gold and silver medals. How many winners were there of each type of medal? Gold: Silver: Bronze:
Answer:
Let x be the number of silver medals.
As there were two more gold medals than silver ones, gold medals are x+2
We also know that the number of bronze medals was 4 less than the sum of gold and silver, so if there are x + 2 of gold and x of silver, there are x+x+2-4 of bronze.
Now, we can do an equation, as we know there were a total of 28 medals:
x + x + 2 + x + x + 2 - 4 = 28
And we isolate x:
4x = 28
x = 28/4 = 7
There were 7 silver medals, so there were 9 gold ones (7-2) and 12 of bronze (9+7-4).
The number of Gold, Silver and Bronze medals are 9, 7 and 12 respectively.
Let the number of silver medals = s
Let the number of good medals = s + 2
Let the number of bronze medals = 2s - 2
Total medals = 28
Therefore, the value for each medal will be:
s + s+2 + 2s-2 = 28
Collect like terms
4s = 28 - 2 + 2
4s = 28
s = 28/4 = 7
Silver medals = 7
Gold medals = s + 2 = 7 + 2 = 9
Bronze medals = 2s - 2 = 2(7) -2 = 14 - 2 = 12
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How can 3.7 = x + (negative 5) be solved for x in one step? Add 3.7 to both sides. Add 5 to both sides. Subtract 3.7 from both sides Subtract 5 from both sides
Answer:
Add 5 to both sides.
Step-by-step explanation:
3.7 = x + (-5)
3.7 + 5 = x + ( -5) + 5
5 cancels on the right
8.7 = x
The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 3.7=x+(-5).
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, 3.7=x-5
Add 5 to both sides of an equation, we get
3.7+5=x-5+5
x=8.7
The correct step to solve an equation is add 5 to both sides. Therefore, option B is the correct answer.
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Mya buys 4 pounds of turkey and 2 pounds of ham.she pays a total of $30,and the turkey cost $1.50 less than the ham.what would be the combined cost of 1 pound of ham and 1 pound of turkey?
Answer:$10.50
Step-by-step explanation:
Let t = cost per pound of turkey
Let h = cost per pound of ham
4t + 2h = 30
t = h - 1.5
substitute h-1.5 in place of t in 1st equation
4(h-1.5) + 2h = 30
4h - 6 + 2h = 30
6h - 6 = 30
6h = 36
h = 6
t = h-1.5 = 4.5
1 pound of turkey costs $4.50
1 pound of ham costs $6.00
----------
cost of 1 pound each $10.50
How does a translations 6 units up and 1 unit left change the coordinates of a shape?
Answer:
It will change the x by -1 and the y by +6
Step-by-step explanation:
Translating is sliding a shape up or down, thus coordinates will be changed
Mrs. Jensen bought jeans on sale online. The total cost, c, in dollars of j pairs of jeans can be found by using the function below. c=15j+4.50 If Mrs. Jensen spent a total of $49.50 on the jeans, how many pairs did she buy? a j=747 b j=755 c j=2 d j=3
In order to join a tennis class you pay $200 annual fee then $10 for each class you go to. What is the average cost per class if you go to 10 classes
Answer:
the average cost if you go to ten classes plus the 200 plus 100 it will equal 300
Step-by-step explanation:
200 annual fee then 10+10+10+10+10+10+10+10+10+10 equal 100 so 200+100 equal 300 for the 10 classes plus the annual fee.
factorize:3x^{2} +4x-15
Answer:
(3x - 5) (x + 3)
Step-by-step explanation:
Multiply the coefficient of the first term by the constant:
3 x -15 = -45
Find two factors of -45 that equals 4:
-5 + 9 = 4
Rewrite the polynomial splitting 4 using -5 and 9:
3x2 - 5x + 9x - 15
Add up the first 2 terms, pulling out like factors:
x • (3x-5)
Add up the last 2 terms, pulling out common factors:
3 • (3x-5)
Add everything up:
Answer
(x+3) (3x-5)
Can someone please help me with this
Answer: [tex]3x^6+x^5-x^4-6x^3+x^2+3x-1[/tex]
Step-by-step explanation:
(3x^2+x-1)(x^4-2x+1)
=3x^6-6x^3+3x^2+x^5-2x^2+x-x^4+2x-1
=3x^6+x^5-x^4-6x^3+x^2+3x-1
Hope this helps!! :)
Please let me know if you have any question
Answer:
the thing below xd
Step-by-step explanation:
[tex](3x^{2} +x-1)(x^4-2x+1)\\\\=3x^2(x^4-2x+1)\\+x(x^4-2x+1)\\-1(x^4-2x+1)\\\\=3x^6-6x^3+3x^2\\+x^5-2x^2+x\\-x^4+2x-1\\\\=3x^6+x^5-x^4-6x^3+(3-2)x^2+(1+2)x-1\\\\=3x^6+x^5-x^4-6x^3+x^{2} +3x-1[/tex]
An $80.00 coat is marked down 20%. It does not sell, so the shop owner marks it down an additional 15%. What is the new price of the coat in dollars?
Answer:
$54.40
Step-by-step explanation:
First, find the new price after the 20% markdown:
80(0.8)
= 64
Then, find the price with the 15% markdown:
64(0.85)
= 54.4
So, the new price of the coat is $54.40
If an object is projected upward with an initial velocity of 123 ft per sec, its height h after t seconds is h=−16t2+123t. Find the height of the object after 5 seconds.
Answer:
Height after 5 seconds is 215 ft
Step-by-step explanation:
Given that:
The initial velocity of object which is projected upwards is 123 ft/sec.
Height of the object, h after time t in seconds, is given as:
[tex]h=-16t^2+123t[/tex]
Here, t will always be positive, so [tex]123t[/tex] and [tex]16t^2[/tex] will also be positive.
But coefficient of [tex]16t^2[/tex] is negative, that means something is subtracted from the positive term [tex]123t[/tex].
To find:
Height of object after 5 seconds.
Solution:
Given that [tex]t=5[/tex] seconds.
Let us put the value in the given relation of [tex]h[/tex] and [tex]t[/tex]:
[tex]h=-16\times 5^2+123 \times 5\\\Rightarrow h=-400+615\\\Rightarrow \bold{h = 215\ ft}[/tex]
So, height after 5 seconds is 215 ft.