Answer:
(a) draw the graph using these coordinates :
(0,-1) and (3,1)
(b) x = 3
Suppose $700 is being deducted each month to pay the mortgage.
After six months, how much money has been taken out of the
pay for the mortgage?
Answer:
$4,200
Step-by-step explanation:
700 x 6 = 4,200
May you help me with this question please
Answer:
C. x < 10
Step-by-step explanation:
2x - 8 < 12
Add 8 to both sides
2x < 20
Divide both sides by 2
x < 10
Answer:
Option C
Step-by-step explanation:
We are given the inequality 2x - 8 < 12,
[tex]2x - 8 < 12,\\2x < 20,\\x < 10\\\\Conclusion - Option C[/tex]
As you can tell, for the first step we added 8 on either side of the inequality sign, resulting with the cancelation of 8, and the addition of 8 and 20. Dividing 2 on either side of this simplified inequality, we resulted in x < 10. Note that if we were to divide by a negative value, this less than sign would be taken as a greater than sign ( same rule applies for the multiplication of a negative number ).
Solution ⇒ Option C
Simplify the trigonometric expression sin(4x) +2 sin(2x) using Double-Angle
Identities.
Answer:
8sin(x)cos³(x)
Step-by-step explanation:
sin(4x) +2 sin(2x) = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=
= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=
= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)
What is the name of the line of reflection for the pair of figures? Enter your answer in the box.
Answer:
the line of symmetry. It's like a mirror.
Step-by-step explanation:
Ramla has two full 1.5 litre bottles of water. She wants to fill as many glasses as possible with water from the bottles. Each glass can hold 180 millilitres of water.
How many glasses can Ramla completely fill?
Answer:
8 glasses
Step-by-step explanation:
Total volume : 1500 ml
Glasses capacity : 180 ml
Glasses can be filled : 1500 / 180 = 8.33
Notice it says completely fill thus it is 8 glasses
Pls help me w this question
Answer:
The answer is (3, 18)
Step-by-step explanation:
This is because if you go to 3 on the x axis and up to 18 on the y axis, you have a point there.
Find the quotient/correct answer
Answer & Step-by-step explanation:
In the problem, we are asked to find the quotient. The quotient is the number that we get once we divide two numbers.
We are asked to find the quotient of 9⁵ ÷ 9⁵.
When a number is divided by itself, then the answer is always going to be 1.
So, the quotient of 9⁵ ÷ 9⁵ is going to be 1.
Find the surface area of the polyhedra
pls!! show how you got the surface area
Answer:
384m^2
Step-by-step explanation:
surface area of cube = area of 1 side x 6
area of 1 side = 64m^2
so, surface area = 64 x 6 = 384m^2
Please mark brainiest
Can someone help me.???
Answer:
1) x =4/3 = 1 1/3
2) y = 10/3 = 3 1/3
3) y = 8
Step-by-step explanation:
y = x + 2/3
1) 2 = x+ 2/3
x = 2 - 2/3 =-6/3 -2/3
x = 4/3 = 1 1/3
2) 8/3 + 2/3 = y
y = 10/3 = 3 1/3
3) 22/3 +2/3 =y
y = 24/3 = 8
Answer:
y=z+2/3
y=2 => z=2-2/3= 4/3
z=8/3 => y= 8/3+2/3= 10/3
z=22/3 => y=22/3+2/3= 24/3= 8
Please help asap!!
Graph (x, y): x + 2y 6
A cube fits perfectly in a sphere. If the cube has a side length of 10cm, what is the volume of the sphere? Round your answer to the nearest hundredth (2 decimal places) or leave your answer in Pi form
Answer:
Step-by-step explanation:
Since the cube fits perfectly in the sphere, it means that the diagonal of the cube will form the diameter of the sphere. In a cube, all sides are equal. To determine the length of its diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
d² = 10² + 10² = 200
d = √200 = 14.14cm
Formula for finding the volume of a sphere is expressed as
Volume = 4/3 × π × r³
Radius of sphere = diameter/2 = 14.14/2 = 7.07cm
Volume = 4/3 × π × 7.07³ = 471.19π cm³
Kimmy walks to school each day. She uses a map that is drawn on a standard (x,y) coordinate plane to see how far she walks. On the map, one coordinate unit represents 100 feet. Her house is located at (8, 4) and the school entrance is located at (-4, -2). Each day, she walks directly from her house to the school entrance. To the nearest foot, what is the distance Kimmy walks to school each day?
Answer:
1342 feet
Step-by-step explanation:
Kimmy's house is located at (8, 4)
The school entrance is located at (-4, -2).
To find the distance Kimmy walks to school every day, we use the Distance formula:
[tex]\text{Distance =}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where [tex](x_1,y_1)=(8, 4),$ and (x_2,y_2)=(-4, -2).[/tex]
[tex]\text{Distance=}\sqrt{(-4-8)^2+(-2-4)^2}\\=\sqrt{(-12)^2+(-6)^2}\\=\sqrt{144+36}\\=\sqrt{180} \\=13.42$ Units\\Since 1 coordinate unit represents 100 feet.\\\\Distance walked by Kimmy to school every day\\=13.42*100 feet\\=1342 feet (to the nearest foot)[/tex]
PLEASEEEEEEEEE HELPPPPPPPPPP 70-100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!! I NEED ONE MORE ANSWER BC I WANNA SEE WHICH ANSWER IS THE GREATEST THAT I SAW BEFORE THIS ONE SO JUST ANSWER IT TRY TO DO A SWIMMING RELATED ONE YA THX
Instructions:
Think of an activity that you enjoy or are interested in. Some examples are reading, swimming, or leveling up your gaming character. Use your activity to work through the following problems:
Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Write the inequality and show all work to solve the inequality.
Graph the solution to your inequality-ON A NUMBER LINE
Explain what your solution means in the context of the problem.
Answer and Explanation:
Gina wanted to swim at the pool. She is allowed to spend at most $30. The cost to swim in the pool is 3 dollars per hour plus a flat fee of $3. How many hours can Gina swim without going over her spending limit?
This problem can be represented by [tex]3x+3\leq 30[/tex].
'x' would be the number of hours. "At most" means less than or equal to. So, the value of x would have to be less than or equal to 30.
[tex]3x+3\leq 30-3\\\\3x\leq 27\\\\3x/3\leq 27/3\\\\\boxed{x\leq9}[/tex]
So, Gina would have a maximum of 9 hours to swim in the pool.
Hope this helps.
Let p: A triangle is acute.
Let q: A triangle is equilateral.
If q is true, which statements must be true? Select three options. p ∨ q p ∧ q p → q q → p q ↔ p
Answer:
all the statements are true
Step-by-step explanation:
The acute triangle is the triangle in which all the angles are less than 90°
While on the other hand, the equilateral triangle is the triangle in which all the angles are of 60° so this also makes the acute triangle
Given that
p = Acute triangle
q = equilateral triangle
Based on the above explanation
The conditions are as follows
p ∨ q is true, the ∨ refers “or” condition, so if any of either statement is true then the statement is true
p ∧ q is also true, the ∧ refers that both the statements should be true.
The arrows on the left and right indicate "implies," and that is true if and only if the p is false or q is true. Both p and q are valid for both the right and the left arrows
The last means equal and is valid if both p and q are the same as they are, so that is true too.
Hence, all the statements are true
Answer: They are similar because their corresponding angles have proportional measures and their corresponding sides are congruent. (not sure)
IThe first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
72, 24, 8, ...
Find the 8th term.
Answer: the eight term is 8/243
Step-by-step explanation:
Each term in this geometric sequence is equal to the previous term, divided by 3.
72,24, 8
a = 72, r = 1/3
a = first term, r is common ratio
tn = ar^n-1
t8 = 72÷ 3^8–1
t8 = 72÷ 3^7
= 72/ 3^7
= 8/243
There are x candies in a box. 8 of the candies are caramel-flavored and rest of them are strawberry-flavored. If the probability of randomly selecting a strawberry-flavored candy from the box is 1/3, find the total number of candies in the box.
Answer:
The answer is: 12 total candies
Step-by-step explanation
c = caramel-flavored
s = strawberry-flavored
so if there are 1/3 strawberry-flavored so that means there are 2/3 caramel-flavored. we know there are 8 caramel-flavored so if 8 is 2/3 of all the candies that means 4 is how many strawberry-flavored we have 12 total candies.
Simplify: (-4/15) - (9/10) *
Answer:
Given
Step-by-step explanation:
(-4/15)-(9/10)
LCM = 150
(-4/15)= (-40/150)
(9/10)= (135/150)
So the equation becomes
= (-40/150)-(135/150)
= (-40-135)/150
= (-40+-135)/150
= -175/150
= -7/6 ( divide both by 25 to simplify)
The simplified value of (-4/15) - (9/10) is -7/6
How to simplify step by step using BODMAS rule?
The given question is (-4/15) - (9/10)
⇒first take L.C.M 15 and 10 which is 30.
⇒divide 30 by both the denominator 10 and 15 which is 3 and 2 respectively.
⇒multiply 3*-9 and 2*-4
⇒now solve using sign.
(-4/15) - (9/10)
⇒[tex]\frac{(-4*2)-(9*3}{30}[/tex]
⇒[tex]\frac{-35}{30}[/tex]
⇒ [tex]\frac{-7}{6}[/tex]
Learn more about Simplification here: https://brainly.com/question/723406
#SPJ2
turn 3/25 to standard form
Answer:
1.2 x 10^-1 or 12x10^-2
What is the result of subtracting the second equation from the first?
-2x+y=0
7x+3y=2
Answer:
5x -2y = -2
Step-by-step explanation:
-2x+y=0
-7x+3y=2
Subtract the second equation from the first
-2x+y=0
7x-3y=-2
------------------
5x -2y = -2
Please answer correctly !!!!!!! Will mark brianliest !!!!!!!!!!
Answer:
22
Step-by-step explanation:
[tex]f(5)= \\\\5(5)-3=\\\\25-3=\\\\22[/tex]
Hope this helps!
Harrison pours sand into a bucket at a constant rate. the graph shows the total weight of the bucket and the sand over time. after 10 seconds, the total weight is 50 ounces.
what is an equation of the line parallel to the line on the graph that passes through (2,25)?
Answer:
y = 4x +17
Step-by-step explanation:
we can find the equation of line when given two points or a point and the gradient/slope.
In the above line we have two points (0,10) and (10,50),
The slope of the line is therefore 4
Parallel lines have equal slopes or gradient, therefore the slope of the other line is still 4. And the line pases through a point (2,25), hence
Equation will be, (y-25)/(x-2) = 4
= y-25 = 4x-8
= y =4x +17
Thus the appropriate equation is y = 4x +17
Answer:
Y = 4 x + 17
Step-by-step explanation:
Confirmed. Just took it
How do i sign in thisa is very important so can Carys calculates the total amount EEE, in dollars, that she earns for working hhh hours using the equation E=10hE=10hE, equals, 10, h. How many dollars does Carys earn per hour?Kjjkl jk
Answer:
Carys earns $10 per hour and earn $1 in [tex]\frac{1}{10}[/tex] hour .
Step-by-step explanation:
Given that :
Carys calculates the total amount E, in dollars, that she earns for working h hours.
She use the equation to calculate the total amount
[tex]E=10h.For h=1, E=10(1)[/tex]
[tex]\Rightarrow\ E=\$10[/tex]
hence, Carys earns $10 in one hour.
Therefore, Carys earns $10 per hour.
Let she earn $1 then put E=1 in the equation, we get
[tex]1=10h\\\\\Rightarrow\ h=\frac{1}{10}\ hour[/tex]
Hence, Carys earn $1 in [tex]\frac{1}{10} \texttt {hour .}[/tex]
Type the correct answer in the box. If necessary, use / for the fraction bar. Give your answer in reduced form.
A card is drawn at a random from a well-shuffled deck of playing cards. The probability that the card drawn is an ace or a red card is
Answer:
37.5% chance
Step-by-step explanation:
well if there are 52 card in a deck and 4 aces.
the probability that it will be red is 50%. As half of the cards are red and the other half is black. the probablility it wil be an ace is 25%. so finding the middle of those would be 37.5%
Answer:
It says an ace or a red card. Red cards have a 50% chance plus 2 black ace cards 26 cards is half red plus 2 28/52 Answer Reduces to: 7/13
Step-by-step explanation:
For one month Siera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert
that temperature from degrees Fahrenheit to degrees Celsius using the function co-32) What does C(F)
represent?
Answer:
the temperature of f degrees Fahrenheit converted to degrees Celsius.
Step-by-step explanation:
find the second derivative of the function P(t) =(2t+4)/(t+1)
use the quotient rule then after using it the first time use it again on your resulting equation, since you are looking for the second derivative
A non-standard (but still fair) die has sides 2, 3, 5, 8, 12, 15, 18 and 20. What is P(roll an odd number)?
Which of the following reasons can be used to justify statement #4 in the proof?
A SAS
B the transitive property
C the reflexive property
D CPCTC
Answer:
D.
Step-by-step explanation:
CPCTC which stands for "corresponding parts of congruent triangles are congruent". Since ΔMQN and ΔPQN have already been proved congruent, So every angle and sides of these two triangle corresponding with each other would be congruent.
How does the size of a bar magnet's magnetic field compare to that of Earth's? A. A bar magnet's magnetic field is larger than Earth's. B. A bar magnet's magnetic field is smaller than Earth's. C. A bar magnet's magnetic field is the same size as Earth's.
Answer:
A. A bar magnet’s magnetic field is larger than Earth’s.
Step-by-step explanation:
The average magnetic field strength in the Earth's outer core was measured to be 25 Gauss, 50 times stronger than the magnetic field at the surface.
I need help solving this!
Answer:
miles hybrid car went = 9.80 gal × 54.1 miles/gal
= 530.18 miles
132km × 0.621 = 81.972 miles
530.18 miles = 9.80 gal
1 mile = 9.80/530.18
= 0.018 gal
81.972 miles = 0.018 × 81.972
= 1.515 gal
1.515 gal × 3.785 = 5.734 litres
(-3)³ + (-4)² - (-2)³
Answer:
[tex]=-3[/tex]
Step-by-step explanation:
[tex]\left(-3\right)^3+\left(-4\right)^2-\left(-2\right)^3\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:exponents}\:\left(-3\right)^3\::\quad -27\\\left(-3\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\left(-3\right)^3=-3^3=-27\\=-27+\left(-4\right)^2-\left(-2\right)^3\\\mathrm{Calculate\:exponents}\:\left(-4\right)^2\::\quad 16\\\left(-4\right)^2[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=a^n,\:\mathrm{if\:}n\mathrm{\:is\:even}\\\left(-4\right)^2=4^2=16\\=-27+16-\left(-2\right)^3\\\mathrm{Calculate\:exponents}\:\left(-2\right)^3\::\quad -8\\\left(-2\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\left(-2\right)^3=-2^3=-8\\=-27+16-\left(-8\right)\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-27+16-\left(-8\right)\::\quad -3\\-27+16-\left(-8\right)[/tex]
[tex]-27+16=-11\\=-11-\left(-8\right)\\\mathrm{Apply\:rule\:}-\left(-a\right)\:=\:+a\\-\left(-8\right)=+8\\=-11+8\\-11+8=-3\\=-3[/tex]