Answer:Hello there!
2y + 4 = 0
2y = -4
y = -2
My assumption is that you'd graph this as a horizontal line at (0,-2) but PLEASE double check with your teacher/instructor because I'm not sure if I'm right.
Hope this helped!
Step-by-step explanation:
Answer:
Step-by-step explanation:
You'll need to share the graphs mentioned in this problem statement.
One can solve 2y + 4 = 0 for y and thus obtain an equation which is easy to graph:
2y + 4 = 0 becomes
2y = -4, or
y = -2
The graph of this function is the horizontal line y = -2. Find (0, -2) on your set of coordinate axes and plot a dark dot there. Then draw a horizontal line thru it. This line has a slope of zero (0) and a y-intercept of -2.
Find the unknown side length, x.
√65 = x; using the Pythagorean Theorem, 25 [hypotenuse₁] - 9 [short leg₁] = 16 [long leg₁]. Take the square root of 16 to get 4 [reflexive line where the two triangles meet]. Then, you deal with the larger triangle. You have 16 [short leg₂] + 49 [long leg₂] = 65 [hypotenuse₂]. Finally, take the square root of 65, so long it stays √65. There is no perfect square to find that will simplify that 65 inside that radical.
Answer:
B. √65Step-by-step explanation:
Use the Pythagorean theorem for both triangles.
Let y be the common side of the triangles. Therefore:
y² + 3² = 5²
y² + 9 = 25 subtract 9 from both sides
y² = 16
x² = 7² + y²
x² = 49 + 16
x² = 65 ⇒ x = √65
BRAINLIEST TO FIRST CORRECT ANSWER ASAP.
Submarines control how much they float or sink in the ocean by changing the volume of air and water contained in large ballast tanks. When the tanks are completely full of water, the submarine increases its overall mass and sinks down to the bottom. When the tanks are completely fill of air, the submarine reduces its overall mass and floats to the surface. Depending on the density if the seawater surrounding the submarine, it will pump seawater in or out of the tanks in order to achieve the same overall density as the sea water and float neutrally in the water. The volume of the submarine never changes. When the tanks are completely full of water, a submarine with a volume of 7.8 x 10^3 m^3 has a total mass of 8 x 10^6 kg. The density of the seawater is 10^3 kg/m^3. To make that submarine float neutrally, and neither float nor sink in the ocean, what volume of water does that submarine need to subtract from its tanks?
A. 8 x 10^6 m^3
B. 2 x 10^2 m^3
C. 8 x 10^3 m^3
D. 2 x 10^5 m^3
Answer:
The volume of the water subtracted from the tanks is 2 × 10² m³ to
make the submarine float nor sink in the ocean ⇒ answer B
Step-by-step explanation:
* Lets talk about the relation between the mass , the volume
and the density
- Mass = Volume × Density
- The unit of the mass is kilogram
- The unit of the volume is cubic meter
- The unit of the density is Kilogram per cubic meter
* Lets find the volume to make the submarine float neutrally
∵ Mass = volume × density
∴ Volume = Mass ÷ density
∵ The mass = 8 × 10^6 kg
∵ The density of the seawater = 10³ kg/m³
∴ The volume = 8 × 10^6 ÷ 10³ = 8 × 10^(6 - 3) ⇒ (to divide numbers
with exponents and have same base, subtract the powers)
∴ The volume = 8 × 10³ m³
- The volume of the submarine never changes
∴ The submarine need to subtract:
8 × 10³ - 7.8 × 10³ = 10³ (8 - 7.8) = 0.2 × 10³ = 2 × 10² m³ from its tanks
* The volume of the water subtracted from the tanks is 2 × 10² m³ to
make the submarine float nor sink in the ocean
Final answer:
To achieve neutral buoyancy, a submarine with a volume of 7.8 x 10³ m³ must expel a volume of water that reduces its mass to that of the water displaced. This amounts to expelling 2 x 10² m³ of water from its ballast tanks.
Explanation:
To make the submarine float neutrally in the seawater, we need to find out how much water the submarine must expel so that its mass equals the mass of the water it displaces. Using Archimedes' principle, the buoyant force on an object submerged in a fluid is equal to the weight of the fluid that is displaced by the object. This is dependent on the volume and density of the fluid.
Since the volume of the submarine is given as 7.8 x 10³ m³ and doesn't change, and the density of the seawater is 10³kg/m³, the mass of the water displaced by the submarine when it is neutrally buoyant must equal the mass of the submarine.
The mass of the water displaced would then be 7.8 x 10³ m³ × 10³ kg/m³ = 7.8 x 10⁶ kg. To achieve neutral buoyancy, the submarine must expel enough water to match this mass. Since we know the total mass of the submarine when fully loaded with water is 8 x 10⁶kg, the volume of water that must be expelled is the difference between the two masses divided by the density of the seawater:
(8 x 10⁶ kg - 7.8 x 10⁶ kg) / (10³ kg/m³) = 0.2 x 10³ m³ or 2 x 10² m³.
Therefore, the correct answer is B. 2 x 10² m³.
The table represents the recommended exercise intensity for the aerobic program based on the number of visits since the beginning program The program recommends a consistent intensity for three visits increase in intensity over three visits then decreasing intensity for three visits before restoring the pattern which set of values could be the intensity of embers exercise during the fourth fifth and six visits check all that apply
A.63%,63%,63%
B.66%,69%,72%
C.66%,62%,58%
D67%,67%,67%
E.63%,65%,67%
F.67%,72%,77%
Final answer:
The correct sets of values for the fourth, fifth, and sixth visits' exercise intensity, according to the described F.I.T.T. pattern of increase after consistent intensity, would be options B (66%, 69%, 72%) and E (63%, 65%, 67%).
Explanation:
The student's question regarding the recommended exercise intensity for the aerobic program is a matter related to health and physical education. Specifically, it involves understanding how to apply the F.I.T.T. principle to plan an aerobic workout regimen. The program described outlines a pattern of consistent intensity, followed by a gradual increase and then a decrease in intensity. When looking for the set of values that could represent the intensity of exercises during the fourth, fifth, and sixth visits, we should look for a pattern that indicates an increase in intensity from the prior three consistent visits.
Given the following options, the correct pattern would be one that shows an increase over three visits:
B. 66%, 69%, 72% - This shows a consistent increase in intensity.
E. 63%, 65%, 67% - This also shows a consistent increase in intensity.
Options A, C, D, and F do not fit the pattern of increasing and then decreasing as described in the student's question. Therefore, the correct set of values for the intensity of exercises on the fourth, fifth, and sixth visits are B and E.
Please help **** gets brainliest
Answer: I think B is the correct answer, I am not 100% postive though. I am about 98%.
Step-by-step explanation:
For this case we have that, by definition of properties of powers and roots, it is fulfilled that:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
Now, from option B we have:
[tex](\sqrt [m] {x ^ a}) ^ b = (x ^ {\frac {a} {m}) ^ b[/tex]
By definition of power properties we have:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
So:
[tex](x ^ {\frac {a} {m}) ^ b =[/tex]
[tex]x ^ {\frac {ab} {m}} =[/tex]
[tex]\sqrt [m] {x ^ {ab}}[/tex]
Thus, it is observed that equality was demonstrated.
THE correct option is B.
ANswer:
Option B
The value of Jamie's baseball card collection rose 60% in the last year. It is now worth $192. What was it worth a year ago?
Answer:
The price of baseball card collection last year is $120.
Step-by-step explanation:
In this question we are given the value of Jamie's baseball card collection rose 60% in the last year. It is now worth $192. We need to find the price of baseball card collection last year.
Let x = the price of baseball card collection last year
the value of baseball card collection rose = 0.6x (60% = 60/100 = 0.6)
Current worth = $192
So, we can write
x + 0.6 x = 192
1.6 x = 192
x = 192/1.6
x = 120
So, the price of baseball card collection last year is x = $120
What is 3(x+7) in expanded form?
Your answer will be 3x+21
Answer:
3x+21
Step-by-step explanation:
using the distributive property, you multiply 3 times x and 7 times 3, then add them together
What is 8 degrees colder than -2
Answer:
-2 - 8 = -10
Step-by-step explanation:
-2 -8= -10
When adding negatives you add as usual and keep the sign.
Write the standard form of the line that contains a slope -3/8 and passes through the point (5, -4).
Answer:
y+3/8x=-17/8
Step-by-step explanation:
y=mx+b
y=-3/8x+b
-4=-3/8(5)+b
-4=-15/8+b
-32/8+15/8=b
-17/8=b
y=-3/8x-17/8
change to standard form where x and y are on one side of the equation
y+3/8x=-17/8
if f(x)=x/2-3 and g(x)=3x^2+x-6, find (f+g)(x)
The answer is:
[tex]f(x)+g(x)=3x^{2} +\frac{3x}{2}-9[/tex]
Why?We are working with function addition, to add or subtract two o more functions, we need to follow the following form:
[tex](f+g)=f(x)+g(x)[/tex]
To simplify the expression, we need to work with the like terms, like terms are the terms that share the same variable and the same coefficient, for example:
[tex]x+3x+x^{2}=x^{2} +4x[/tex]
We were able to add only the first two terms since the third term does not share the exponent with the other two.
We are given the functions:
[tex]f(x)=\frac{x}{2}-3\\\\g(x)=3x^{2}+x-6[/tex]
So, solving, we have:
[tex]f(x)+g(x)=(\frac{x}{2} -3)+(3x^{2} +x-6)\\\\f(x)+g(x)=3x^{2}+\frac{x}{2}+x-3-6\\\\f(x)+g(x)=3x^{2}+\frac{x+2x}{2}-9\\\\f(x)+g(x)=3x^{2} +\frac{3x}{2}-9[/tex]
Hence, the answer is:
[tex]f(x)+g(x)=3x^{2} +\frac{3x}{2}-9[/tex]
Have a nice day!
To find (f+g)(x), we need to add the two functions f(x) and g(x). Let's do this step by step:
Given functions:
f(x) = x/2 - 3
g(x) = 3x^2 + x - 6
(f+g)(x) means the sum of f(x) and g(x), so we add the two functions together:
(f+g)(x) = f(x) + g(x)
= (x/2 - 3) + (3x^2 + x - 6)
Now, we combine like terms:
(f+g)(x) = 3x^2 + x/2 + x - 3 - 6
There is a common term x/2 and x, which we can combine by finding a common denominator. The common denominator is 2, so we convert x to 2x/2:
(f+g)(x) = 3x^2 + 2x/2 + x/2 - 3 - 6
= 3x^2 + (2x + x)/2 - 3 - 6
= 3x^2 + 3x/2 - 3 - 6
Now we add or subtract the constants:
(f+g)(x) = 3x^2 + 3x/2 - 9
So, the function (f+g)(x) is equal to:
(f+g)(x) = 3x^2 + 3x/2 - 9
And that is the final expression for the sum of f(x) and g(x).
How many triangles can be drawn with one 90° angle ,a 70° angle, and an included side measuring 3 inches?explain
Answer:
1
Step-by-step explanation:
once we know 2 of the angles we can find a third. once we have all 3 angles we only need one side length to tell us how big it is.
Bonus question: How many triangles can be drawn with one 3 inch side ,a 4 inch side, and a 20ºangle?
Only one triangle is formed with an angle 90° , angle 70° and included side with 3 inches.
What is a triangle?
A triangle is a three sided polygon, which has three vertices.
Given that;
Measure of two angles are angle 90° and angle 70°.
Length of side = 3 inches.
Now, Measure of two angles are angle 90° and angle 70°.
Since, Sum of all angles of an triangle are 180°.
Let third angle = x
So, 90° + 70° + x = 180°
160 + x = 180
x = 20°
Thus, We can formed only one triangle.
Learn more about the triangle visit:
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Which is the definition of a line segment
Answer:
a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints
Step-by-step explanation:
Answer:
a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints
Sharon purchased a sprinkler system for $1,950 using a six-month deferred payment plan. The interest rate after the introductory period is 23.99%. No down payment is required, but there is a minimum monthly payment of $25. What is the balance at the beginning of the seventh month if only the minimum payment is made each month during the introductory period?(4 points) $1,950.00 $2,045.91 $1,800.00 $2,195.91
Answer:
$1800
Step-by-step explanation:
If we pay $25 monthly, then at the beginning of the seventh month you should have paid:
$25*6 = $150
At the beginning of the seventh month we will have:
$1950 - $150 = $1800.
No interested is charged during the introductory period, so at the beginning of the seventh month the balance will be $1800.
Answer:
it is $2,045.91
Step-by-step explanation:
Please please help me
Answer:
11 hours.
Step-by-step explanation:
One worker worked 6 hours, the other worked 5. 5+6 = 11
Equation to find r in terms for V and h
V = πr²h
We want r in terms of V and h, so
[tex]r^2=\frac{V}{h\pi}[/tex]
[tex]r=\sqrt{\frac{V}{h\pi}}[/tex]
Which of these is most likely a pair of independent and dependent variables? A. the selling price of a product and its manufacturing cost B. your pulse rate and your friend’s pulse rate C. the price of a cell phone and the price of a TV D. your calorie intake and your friend’s calorie intake E. the distance of your home from school and your friend’s home from school
Answer:
Dependent Pair of Events: A
Independent pairs of events: B,C,D,E
Step-by-step explanation:
Lets look at each pair one by one..
A. the selling price of a product and its manufacturing cost
We can clearly see that the selling price of a product is always determined on the basis of it's manufacturing cost.
So A is a pair of dependent events.
B. your pulse rate and your friend’s pulse rate
The pulse of rate of one person has nothing to do with the pulse rate of another person.
So B is a pair of independent events.
C. the price of a cell phone and the price of a TV
The price of cell phone and Tv are not related to each other at any level..
So C is a pair of independent events.
D. your calorie intake and your friend’s calorie intake
One person's calorie intake is not related or dependent on any other person's calorie intake.
So D is a pair of independent events.
E. the distance of your home from school and your friend’s home from school
The distances of one person's home from school doesn't affect the distance of another person's home from school.
So E is a pair of independent events..
f(x)= -7^2+8x+2 what is the value of the discriminant of f? How many x-intercepts does the graph of f have?
I think it has one x-intercept which is (0, -47). I am not really sure though.
Sam spent $16 on a large pizza and two drinks. If the pizza was 75% of the cost, how much did each drink cost?
Each drink costs $2.
A 16 oz. package of brown rice costs 79 cents and 32 oz. package of white rice costs $3.49. Which package is a better deal?
Answer:the brow
Step-by-step explanation: you can just make the brown rice weigh as much as the white, 32 or 16.(16x2 is 32 and 32/2 is 16). 79 plus 79 is 1.68. Making the 32 oz of brown 1.68. Showing that the brown is cheaper.
Answer:
A 16 oz. package of brown rice for 79 cents is better deal.
Step-by-step explanation:
79 cents/16 oz≈4.94 cents / oz - 1st package
349 cents/32 oz≈10.91 cents/oz - 2 nd package
For the second package price per oz is more. So 1st package is better deal.
Use the diagram shown to answer the questions.
If you dropped a vertical line from P to the x-axis to make a right triangle, what is the length of the hypotenuse, r?
Answer:
13
Step-by-step explanation:
First drop the line.
How many units is it from Point r to the x axis?
12.
How many units is it from Point r to the y axis?
5.
Now we can use the Pythagorean Theorem.
[tex]12^2+5^2=c^2 \\ \\ 144+25=c^2 \\ \\ c^2=169 \\ \\ c=13[/tex]
The calculated length of the hypotenuse r has a value of 13 units
How to determine the length of the hypotenuseFrom the question, we have the following parameters that can be used in our computation:
The point P
Where, we have
P = (-5, 12)
This means that
(x, y) = (-5, 12)
The length of the hypotenuse r is calculated as
r = √[x² + y²]
Substitute the known values into the equation
r = √[(-5)² + 12²]
r = √169
When evaluated, we have
r = 13
Hence, the length of the hypotenuse is 13 units
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The mass of an object changes with location or altitude above the Earth's surface.
True
False
False, the mass of an object never changes. The weight of an object may vary due to the location but the mass never changes. The mass is said to be changes only when an object travels very fast ( like close to speed of light).But not in the above mentioned cases.
Answer:
False
Step-by-step explanation:
Mass is defined as the amount of matter within an object which will never change. This question is trying to trick you since most people use the words mass and weight interchangeably which is not true. Weight is the amount of gravitational force acting upon you which does change with altitude but mass does not.
Costs incurred in detecting poor-quality goods or services are referred to as
A. appraisal costs.
B. internal failure costs.
C. external failure costs.
D. prevention costs.
Answer:
C. external failure costs.
What is the sum of 14t/10t^2 + 5t^2+40t/10t^2?
Answer:
(5t^2 + 54t)/ 10t^2
Step-by-step explanation:
since the denominator is the same, you would just add the numerators.
Which statements describe the solutions to √x-2 -4=x-6 ? Check all that apply. There are no true solutions to the radical equation. x = 2 is an extraneous solution. x = 3 is a true solution. There is only 1 true solution to the equation. The zeros of 0 = x2 – 5x + 6 are possible solutions to the radical equation.
Solution
[tex]\sqrt{x-2}-4=x-6\\\\\sqrt{x-2}=x-6+4\\\\\sqrt{x-2}=x-2\\\\ \text{Squaring both sides}\\\\x-2=x^2-4x+4\\\\x^2-4x-x+4+2=0\\\\x^2-5 x+6=0\\\\ \text{Splitting the middle term}\\\\x^2-3x-2x+6=0\\\\x(x-3)-2(x-3)=0\\\\(x-2)(x-3)=0\\\\x=2,3[/tex]
Put, x=2 and x=3 in original equation
⇒For, x=2
LHS
[tex]\sqrt{2-2}-4\\\\=-4[/tex]
RHS
4-6
= -2
LHS=RHS
Hence, x=2 , is solution of the system.
⇒For , x=3
.LHS=
[tex]\sqrt{3-2}-4\\\\=1-4\\\\=-3[/tex]
RHS
3-6=-3
Hence, x=3 , is solution of the system.
Option C
x=3, is true solution.
Option E:
The zeros of 0 = x2 – 5x + 6 are possible solutions to the radical equation.
Answer:
C, E
Step-by-step explanation:
got it right on edge
find the volume of the given pyramid
Answer: 147
V= lwh/3 = 7*9*7/3 = 147
let me know if im wrong.
Given that p is an integer, q = -12 and the quotient of p/q is -3, find p.
36, |-12| is 12 and |-3| is 3. Using inverse operations, we multiply and get 36. P=36
Answer:
36
Step-by-step explanation:
36 Because all you do is -12*-3
SUBSTITUTION
p=-4.8 q=3.2
r=3-2p+q^2
R = 3 - 2(-4.8) + 3.2^2
R = 3 + 9.6 + 10.24
R = 22.84
Answer:
r=16.84
Step-by-step explanation:
As we know that [tex]p=-4.8[/tex] and [tex]q=3.2[/tex] we can substitute these values in to the equation in order to find the value of r
[tex]r=-3-2p+q^2\\\\r=-3-2(-4.8)+(3.2)^2\\\\r=-3+9.6+10.24\\\\r=16.84[/tex]
Which mathematical sentence is represented by the diagram?
A) 3^2 + 4^2 = 5^2
B) 3^2 + 5^2 = 4^2
C) 8^2 + 12^2 = 14^2
D) 9^2 + 16^2 = 25^2
Answer: A
Step-by-step explanation: It is a PT tripple 3,4,5
Also if you take the legs of the right triangle and square and add they get 5
Answer:
A
Step-by-step explanation:
Is the answer A, B, C or D?
A. this is because when you multiple 280 by 9 you get 2,520 and to get 25% multiple that number by .25 and get 630, add 2520 and 630 to get 3150 ,, subtract 3114 from 3150 to get 36
Answer:
A. He will break the record by 36 yards.
Step-by-step explanation:
Last year:
average yards per game: 280 yards
Increase by 25%:
average yards = 125% of 280 yd = 1.25 * 280 yd = 350 yd
By increasing the yards per game by 25% he will have an average of 350 yd per game this year.
The school record is 3,114 yd, so the average per game for a 9-game season is: 3,114 yd/9 = 346 yd.
He will pass the record by 350 yd - 346 yd = 4 yd per game.
In a 9-game season, he will break the record by 9 * 4 yd = 36 yd.
Answer: A. He will break the record by 36 yards.
Need help for a and b
Answer:
[tex]x = 4.45 \\ y=6[/tex]
Step-by-step explanation:
For part a, we'll be needing to find the vertex.
Convert [tex]y=-x^2+4x+2[/tex] into vertex form by factoring and completing the square.
We'll get...
[tex]y=-(x-2)^2+6[/tex]
So the vertex is [tex](2,6)[/tex]
And therefore, the maximum height will be 6.
Now we can find the zeros to find how far it'll be.
Use the quadratic formula.
[tex]x=\frac{-b±\sqrt{b^2-4ac}}{2a}[/tex]
[tex]a=-1 \\ b=4 \\ c = 2[/tex]
Plug them in.
[tex]x=\frac{-4±\sqrt{(4^2)-4(-1)(2)} }{2(-1)}[/tex]
[tex]x=\frac{-4±\sqrt{16--8}}{-2} \\ \\ x=\frac{-4±\sqrt{24}}{-2} \\ \\ x = 4.45, -0.45[/tex]
Since the x value has to be positive, x ≈ 4.45, so the water will be about 4.45 out when the water reaches pond level.
What is the solution to
5x + 6 ≥ -34 AND -2x - 2 > -10
PLZ HELP FAST ILL GIVE BRAINLEST
Answer:
-8 ≤ x < 4Step-by-step explanation:
5x + 6 ≥ -34 subtract 6 from both sides
5x + 6 - 6 ≥ -34 - 6
5x ≥ -40 divide both sides by 5
x ≥ -8
and
-2x - 2 > -10 add 2 to both sides
-2x - 2 + 2 > - 10 + 2
-2x > -8 change the signs
2x < 8 divide both sides by 2
x < 4
We have x ≥ -8 and x < 4 ⇒ -8 ≤ x < 4