Answer:
a=3
Step-by-step explanation:
3x3=9
Answer: a=3
Step-by-step explanation: 3*3=9
Ruben worked in a union motorcycle factory for 20 years before returning to school to become a paramedic instead. He is 45 now. He has a pension from his previous employer, which would pay him $1500/month after his retirement at 65. Assuming he will live to 80 (which is slightly higher than the life expectancy for an American man) he would earn $270000 over 15 years. The company has stopped offering pensions and wants to buy out his pension today. Should Ruben accept a buyout offer of $125,000? Assume that he could invest the money at an interest rate of 3% with a monthly compounding.
Answer:
Ruben needs a new job
Step-by-step explanation:
The square root of a number is 6. What is the other square root of this number?
Answer:
-6
Step-by-step explanation:
If the square root of a number is 6, then the number must be 36 (6*6=36)
However, negatives*negatives also equal positives, so
-6*-6 also =36
hence, your answer should be -6
Final answer:
The other square root of a number whose one square root is 6 is -6, because both 6 and -6 squared give the positive number 36.
Explanation:
The question you're asking pertains to finding square roots of a number. Given that one square root of a number is 6, the other square root would also be 6, but with an opposite sign, so it's -6. This is because when either 6 or -6 is squared (multiplied by itself), the result is 36. So, the number you're looking for is 36, and it has two square roots: 6 and -6. This is because the equation x² = √x holds true for both positive and negative values of x that yield the same positive result when squared.
To find the other square root of the number, we need to consider the fact that a positive number has two square roots - one positive and one negative.
Since the given square root is positive and equal to 6, the other square root would be its negative counterpart, which is -6.
Please help ASAP!
Picture provided. Please show your work. :)
Answer: The area of the square sign is greater than the area of the rectangular sign
Step-by-step explanation:
A = L X W
40 x 40 = 1600
15 x 90 = 1300
Answer:
The area of the square sign is greater than the area of the rectangular sign.
Step-by-step explanation:
Area of Square: 1600 in.
Area of Rectangle: 1350 in.
1600 in. > 1350 in.
what is the range of function of x graphed above
Answer:
y is greater then -5
but less then 3
letter answer
H
Answer:
(-5, 3)
Step-by-step explanation:
The smallest value y can have is just above -5 and the largest is just below 3. Thus, the range of this function is (-5, 3). This does not include -5 or 3.
what is the sum of the interior angle measures of a convex irregular pentagon?
Answer:
540 degrees.
Step-by-step explanation:
The formula for the sum of the interior angles is
S(n) = 180(n - 2) where n = the number of sides.
For a pentagon, with 5 sides it is 180(5 - 2)
= 3*180
= 540 degrees.
Answer:
I think the answer is 540?
Step-by-step explanation:
The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c= 34.95u +6.25, where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is the domain of the function for this situation
The domain of the function for this situation is [8, 12].
Explanation:The given function is c = 34.95u + 6.25, where c represents the total cost in dollars and u represents the number of uniforms bought.
To find the domain of the function for this situation, we need to determine the range of values that u can take within the given restrictions.
The question states that there should be at least 8 players but not more than 12 players on the volleyball team.
Therefore, the domain of the function is the set of numbers greater than or equal to 8 and less than or equal to 12. In interval notation, the domain can be represented as [8, 12].
Final answer:
The domain of the function c = 34.95u + 6.25 for the number of uniforms needed by a volleyball team is {8, 9, 10, 11, 12}, which corresponds to the number of players on the team, ranging from 8 to 12.
Explanation:
The function c = 34.95u + 6.25 represents the total cost to buy uniforms, where u is the number of uniforms. To determine the domain of this function based on the number of players, we note that there are at least 8 players and no more than 12 players on the volleyball team. Therefore, the number of uniforms (and hence the value of u) can range from 8 to 12, inclusive.
The domain of the function in this context is the set of whole numbers from 8 to 12. So, the domain is {8, 9, 10, 11, 12}.
A company that makes boxes finds out that 3 out of the 20 boxes are damaged. What percent of the boxes are damaged?
Answer:
15%
Step-by-step explanation:
3 of the 20 boxes are damaged
3/20 = x/100
Multiply the top and bottom by 5
3/20 *5/5 = 15/100
15%
There are many cylinders with a height of 18 meters. Let r represent the radius in meters and V represent the volume in cubic meters.
a. Write an simplified equation (plugging in all know quantities) in terms of (meaning do not
multiply by 3.14 when you simplify) that represents the volume as a function of the radius.
The equation would be: [tex]V(r)=2\pi r \cdot 18[/tex]
Volume V is represented as a function of radius r. Height of a cylinder h is multiplied by the circumference of the cylinder 2πr to result in volume.
Answer:
18pir^2
Step-by-step explanation:
find the slope ..................
My work is shown up above.
I think this is the answer.
We can use the points (-2, 3) and (0, 4) to solve.
Slope formula: y2-y1/x2-x1
= 4-3/0-(-2)
= 1/2 (Answer)
Hope This Helped! Good Luck!
Use the substitution method to solve the system of equations
Answer:
C. (5,-2)
Step-by-step explanation:
3x+7y=1
substitute x-7 for y
3x+7(x-7)=1
3x+7x-49=1
10x-49=1
10x= 50
x=5
now substitute x=5 in the other equation
y=5-7
y=-2
11yd and 3yd and 3yd
Answer:
if you are multiplying it would be 99
Step-by-step explanation:
multiply 11x3 then musliply that by three
Answer:
if you are multiplying it would be 99
Step-by-step explanation:
multiply 11x3 then musliply that by three
Step-by-step explanation:
What is the point-slope form of a line with slope -5 that contains the point
(2,-1)?
O A. y-1 = 5(x+2)
O B. y+1 =-5(x-2)
O C. y+ 1 = 5(x + 2)
O D. y-1 = -5(x-2)
Answer:
y + 1 - 5(x - 2)
Step-by-step explanation:
Borrow (2, -1): Substitute 2 for x and -1 for y, and -5 for m in y = mx + b:
-1 = -5(2) + b. Then b = 9, and the desired equation in point-slope form is:
y - (-1) = -5(x - 2), or
y + 1 - 5(x - 2)
The point-slope form of a line with slope -5 that contains the point
(2,-1) is y+1=-5(x-2). Therefore, option B is the correct answer.
What is the point slope form?The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.
The equation of the point slope form is: (y - y₁) = m(x - x₁)
where, (x, y) is a random point on the line and m is the slope of the line.
Given that, a line with slope -5 that contains the point (2, -1).
Substitute m=-5 and (x₁, y₁)=(2, -1) in the point slope form, we get
(y-(-1))=-5(x-2)
y+1=-5(x-2)
y+1=-5x+10
5x+y-9=0
Therefore, option B is the correct answer.
To learn more about the point slope form visit:
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in the figure AB is parallel to CD. BC is parallel to AE. angle ABD measures (3x+4). angle BCD measures (6x-8). angle EDF measures (7x-20). what is the degree measure of angle BCD?
Guys I really need ur help. my test is tomorrow and I've been stuck on this question since yesterday. I literally am about to have a mental breakdown
Answer:
The measure of angle BCD is [tex]68.5\°[/tex]
Step-by-step explanation:
step 1
Find the value of x
we know that
[tex]m<ABD+m<BCD+m<EDF=180\°[/tex] -----> form a straight line
substitute the values
[tex](3x+4)\°+(6x-8)\°+(7x-20)\°=180\°[/tex]
[tex](16x-24)\°=180\°[/tex]
[tex]16x=180\°+24\°[/tex]
[tex]16x=204\°[/tex]
[tex]x=12.75\°[/tex]
step 2
Find the measure of angle BCD
[tex]m<BCD=(6x-8)[/tex]
substitute the value of x
[tex]m<BCD=6(12.75)-8=68.5\°[/tex]
Answer:
Step-by-step explanation:
great job!
what is the domain of the function y=ln(12-4x/5)
[tex]\ln x[/tex] has a domain of [tex]x>0[/tex], so [tex]\ln\left(12-\dfrac{4x}5\right)[/tex] has a domain of
[tex]12-\dfrac{4x}5>0\implies12>\dfrac{4x}5\implies x<15[/tex]
Answer:
The domain of the function is [tex]x<3[/tex]
Step-by-step explanation:
Given : Function [tex]y=\ln (\frac{12-4x}{5})[/tex]
To find : What is the domain of the function ?
Solution :
Domain is defined as the set of possible values which define the function.
We know that, log negative is not defined.
So, we will get the inequality in the function.
[tex]\ln (\frac{12-4x}{5})>0[/tex]
[tex]\frac{12-4x}{5}>0[/tex]
[tex]12-4x>0[/tex]
[tex]-4x>-12[/tex]
[tex]x<3[/tex]
Therefore, The domain of the function is [tex]x<3[/tex]
Please Help!
The base of a triangle is 3 inches shorter than its height. The area of the triangle is 77 square inches. Find the base and the height
Explain Step-by-step please
I need the work
Answer:
The base is [tex]11\ in[/tex] and the height is [tex]14\ in[/tex]
Step-by-step explanation:
we know that
The area of the triangle is equal to
[tex]A=\frac{1}{2}(b)(h)[/tex]
where
b is the base of triangle
h is the height of triangle
In this problem
[tex]b=h-3[/tex] ----> equation A
[tex]A=77\ in^{2}[/tex]
so
[tex]77=\frac{1}{2}(b)(h)[/tex]
[tex]154=(b)(h)[/tex] -----> equation B
Substitute equation A in equation B
[tex]154=(h-3)(h)[/tex]
[tex]h^{2}-3h-154=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]h=14\ in[/tex]
see the attached figure
Find the base b
[tex]b=14-3=11\ in[/tex]
Solve px+12=17 for X
Answer:
[tex]\large\boxed{B.\ x=\dfrac{5}{p}}[/tex]
Step-by-step explanation:
[tex]px+12=17\qquad\text{subtract 12 from both sides}\\\\px+12-12=17-12\\\\px=5\qquad\text{divide both sides by}\ p\neq0\\\\\dfrac{px}{p}=\dfrac{5}{p}\\\\x=\dfrac{5}{p}[/tex]
Answer:
b x = 5/p
Step-by-step explanation:
px+12=17
Subtract 12 from each side
px+12-12=17-12
px = 5
Divide by p
px/p = 5/p
x = 5/p
Don’t focus on the bottom one just help me find the area to both these questions. Do both plz.
For triangles, the formula to find area is base*height/2. So just plug the numbers in to get 11.5*6.7/2=38.525 meters squared.
For a rhombus, the area formula is just base*height, resulting in 4.75*9.2=43.7 meters squared
a(3x-8)=b-18x
a=?
b=?
Answer:
a(3x-8)=0
a=0 and b=8/3
Step-by-step explanation:
This second line is not necessarily true. We could have a=0 OR x=8/3. They don't both have to be 0.
Bea's uncle said that if you subtract 15 from 3 times his age you would get 60. Be a wrote this equation: 3x- 15= 60. how old is Bea's uncle? PLZ I NEED THIS ANSWER RIGHT AWAY ITSFOR A TEST AND I NEED HELPPPP
Answer: Bea's uncle is 25 years old.
Step-by-step explanation:
Given the equation [tex]3x- 15= 60[/tex], we can say that the variable "x" represents the age of Bea's uncle. Then to find his age, we need to solve for "x":
We must add 15 to both sides of the equation:
[tex]3x- 15+(15)= 60+(15)\\3x=75[/tex]
Now we need to divide both sides of the equation by 3:
[tex]\frac{3x}{3}=\frac{75}{3}\\\\x=25[/tex]
Therefore, we can conclude that Bea's uncle is 25 years old.
A person named as the executor of ur will can make _____after u die
financial decisions after your death hop this helps
The named executor in a will has the responsibility of managing the estate, settling debts, filing taxes, and distributing assets according to the will after the person dies.
Explanation:A person who has been named as the executor of your will can make important decisions regarding your estate after you die. Specifically, the executor oversees the probate process, settles the decedent's debts, files any necessary tax returns, and distributes the remaining assets to the beneficiaries as outlined in the will. This can be a complex process, and it's important to select an executor you trust to manage these responsibilities effectively and with respect to your wishes.
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PLEASE HELP!!!!
Solve for when f(x)=g(x)
f(x)=5x
g(x)=x^2-10x+1
Answer:
[tex]\large\boxed{x=\dfrac{15-\sqrt{221}}{2}\ or\ x=\dfrac{15+\sqrt{221}}{2}}[/tex]
Step-by-step explanation:
[tex]f(x)=5x\\\\g(x)=x^2-10x+1\\\\f(x)=g(x)\to5x=x^2-10x+1\qquad\text{subtract 5x from both sides}\\\\x^2-15x+1=0\\\\\text{Use the quadratic formula}:\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=-15,\ c=1\\\\b^2-4ac=(-15)^2-4(1)(1)=225-4=221\\\\x=\dfrac{-(-15)\pm\sqrt{221}}{2(1)}=\dfrac{15\pm\sqrt{221}}{2}[/tex]
PLEASE HELP!!! The total area of fictional Puget Loud, near Seapple, Washington, can be roughly estimated using a rectangular shape that is 110 miles long and 15 miles wide. In Puget Loud, orcas require approximately 5 mi² of territory per animal. Based on this information, how many orcas could live in Puget Loud? Show your work and place a box around your answer.
Answer:
[tex]330\ orcas[/tex]
Step-by-step explanation:
step 1
Find the total area of fictional Puget Loud
The area of the rectangular shape is
[tex]A=110*15=1,650\ mi^{2}[/tex]
step 2
Divide the total area by 5 mi² of territory per animal to find the number of orcas that could live in Puget Loud
[tex]1,650/5=330\ orcas[/tex]
Final answer:
To determine how many orcas could live in Puget Loud, calculate the total area (Length × Width) and divide it by the amount of space required per orca (5 mi²). The calculation gives us 330 orcas.
Explanation:
To estimate the number of orcas that could live in Puget Loud, we first need to calculate the total area of Puget Loud. We do this by multiplying the length by the width of the rectangular region.
Total area of Puget Loud = Length × Width
Total area of Puget Loud = 110 miles × 15 miles
Total area of Puget Loud = 1650 square miles
Next, we need to divide the total area of Puget Loud by the territory required per orca. Each orca requires approximately 5 square miles.
Number of orcas = Total area / Territory per orca
Number of orcas = 1650 mi² / 5 mi² per orca
Number of orcas = 330
Therefore, Puget Loud could potentially support 330 orcas.
PLEASE BE QUICK!!! 15 POINTS!!! What is the area of the triangle QRS?
_______ square units
Answer: 7 square units
Answer: 7
Step-by-step explanation:
Consider the ordered pairs (1,4), (-1,2), and (0,3). Which of the four equations below could have been used to generate these three ordered pairs?
Select one:
a. y = x + 3
b. y = -x + 3
c. y = -x - 6
d. y = -x - 3
Answer:
a. y = x + 3
Step-by-step explanation:
All three ordered pairs satisfy the first equation.
___
If you want to look into it a little further, you can notice that if you sort the ordered pairs by their x-values, you get ...
(-1, 2), (0, 3), (1, 4)
That is, the y-values increase (by 1) as the x-values increase (by 1).
All of the other answer choices have -1 as the coefficient for x, which means the y-values will decrease as x increases. None of these choices (b–d) is viable.
Answer:
A. Y=X+3
Step-by-step explanation:
A bag contains 2 red marbles and 4 green marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability that the first marble is green and the second one is red?
Answer:
Step-by-step explanation:
Red = 2
Green = 4
P(G) = 4/6
P(R) = 2/5 (remember that 1 green marble is green. The total left is 5 so the 5 is not a typo)
P(G then R) = 4/6 * 2/5
P(G then R) = 2/3 * 2/5
P(G then R) = 4/15
please help! it seems easy i just cant figure this one out!
Answer:
First possible answer is correct
Step-by-step explanation:
The first possible answer is the correct one. It shows that Ellen is approaching Mark's house (the distance is decreasing). The level part of the graph indicates her having to stop and wait in traffic. Then she takes off again at a greater speed towards Mark's house.
i am a solution. My number cubed is equal to -64. What number am i?
Answer:
the answer is 4. 4*4 is 16 16*4 is 64
Step-by-step explanation:
Circle Y has a center at (2,3) and a radius of 4. Circle Z has a center at (2,−3) and a radius of 10. What is the scale factor of all radii of circle Y to all radii of circle Z?
Final answer:
The scale factor of all radii of circle Y to all radii of circle Z is 0.4.
Explanation:
To find the scale factor of all radii of circle Y to all radii of circle Z, we can compare their radii.
Circle Y:
Center: (2,3)
Radius: 4
Circle Z:
Center: (2,-3)
Radius: 10
The scale factor is determined by comparing the radii of the two circles. The radius of circle Y is 4 and the radius of circle Z is 10. To find the scale factor, we divide the radius of circle Y by the radius of circle Z: 4/10 = 0.4.
Therefore, the scale factor of all radii of circle Y to all radii of circle Z is 0.4.
-0.75-(-2/5)+0.4+(-3/4)
-0.75-(-2/5)+0.4+(-3/4) = -0.7 simplified, how I got this answer can be found below in 16 steps.
1 - First thing we want to do is remove the parentheses.
-0.75 - (-2/5) + 0.4 - 3/4
2 - Then we simplify, multiply -1 by -1.
-0.75 + 1 (2/5) + 0.4 - 3/4
3 - Then multiply 2/5 by 1.
-0.75 + 2/5 + 0.4 - 3/4
4 - Then we want to write - 0.75/1 as a fraction with a common denominator, we do this by multiplying by 5/5.
-0.75/1 * 5/5 + 2/5 + 0.4 - 3/4
5 - Then we write each expression with a common denominator of 5, we multiply each one by a factor of one.
-0.75 * 5/1*5 + 2/5 + 0.4 - 3/4
6 - Then we multiply 5 by 1.
-0.75 * 5 / 5 + 2/5 + 0.4 - 3/4
7 - Then we combine the numerators over the common denominator.
-0.75*5+2/5+0.4-3/4
8 - We multiply -0.75 by 5.
-3.75 + 2/5 + 0.4 - 3/4
9 - Then we add -3.75 and 2.
-1.75/5+0.4-3/4
10 - And then we divide -1.75 by 5.
-0.35 + 0.4 - 3/4
11 - Then add -0.35 and 0.4.
0.05 - 3/4
12 - We then write 0.05/1 as a fraction with a common denominator, we do this via multiplying it by 4/4.
0.05/1 * 4/4 - 3/4
13 - Then we write each expression with a common denominator of 4, through multiplying each by a factor of 1.
0.05 * 4/4 - 3/4
14 - We combine the numerators over the common denominator.
0.05 * 4 - 3 / 4
15 - We simplify.
-2.8 / 4
16 - Then we divide -2.8 / 4
The final answer is -0.7
Can someone please help me out with this question
Answer:
z= 31
Step-by-step explanation:
GF=DE so....... z+31=2z
-z -z
31 = z