Answer:
[tex]\large\boxed{B.\ w=-\dfrac{4}{3},\ w=\dfrac{5}{2}}[/tex]
Step-by-step explanation:
[tex]6w^2-7w-20=0\\\\6w^2-15w+8w-20=0\\\\3w(2w-5)+4(2w-5)=0\\\\(2w-5)(3w+4)=0\iff2w-5=0\ \vee\ 3w+4=0\\\\2w-5=0\qquad\text{add 5 to both sides}\\2w=5\qquad\text{divide both sides by 2}\\\boxed{w=\dfrac{5}{2}}\\\\3w+4=0\qquad\text{subtract 4 from both sides}\\3w=-4\qquad\text{divide both sides by 3}\\\boxed{w=-\dfrac{4}{3}}[/tex]
Write an inequality comparing the rational numbers -3/4 and -2.
Using complete sentences, explain what your inequality means about the position of the two numbers on the number line.
Answer:
Step-by-step explanation:
-2 < -3/4. Another way in which to do this would be to use the LCD:
-8/4 < -3/4.
Even though 8 has a larger magnitude than does 3, -8/4 is smaller than -3/4. On the number line, -8/4 (or -2) is to the left of -3/4.
Answer:
-2 < -3/4. Another way in which to do this would be to use the LCD:
-8/4 < -3/4.
Even though 8 has a larger magnitude than does 3, -8/4 is smaller than -3/4. On the number line, -8/4 (or -2) is to the left of -3/4.
Step-by-step explanation:
Hope this helps darlin
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.
find the volume of the given pyramid
Answer: 147
V= lwh/3 = 7*9*7/3 = 147
let me know if im wrong.
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.
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
Students in grade6, 7 and 8 sold a total of 320 concert tickets.
Grade 6 students sold x tickets grade 7 students sold s tickets and grade 8 students sold t tickets use the equation x + s + t = 320 to find x the number of tickets that were sold by grade 6 students
Answer:
x=320+t-s
Step-by-step explanation:
1.
When 3x2 - 2x + 7 is subtracted from 57-4x+10, AWO is the difference?
Combine like terms:
3 x 2 - 2x + 7 - 57 - 4x + 10
-34 - 6x
Help me find the lateral and the surface area I have to round to the nearest tenths if necessary
Answer:
L.A. = 188.4 m²S.A. = 266.9 m²Step-by-step explanation:
The formula of a lateral area of a cone:
[tex]L.A.=\pi rs[/tex]
r - radius
s - slant height
We have r = 5m and s = 12m. Substitute:
[tex]L.A.=\pi(5)(12)=60\pi\ m^2\\\\\pi\approx3.14\to L.A.\approx(60)(3.14)=188.4\ m^2[/tex]
The formula of a surface area of a cone:
[tex]S.A.=\pi r(r+s)[/tex]
Substitute:
[tex]S.A.=\pi(5)(5+12)=\pi(5)(17)=85\pi\ m^2\approx(85)(3.14)=266.9\ m^2[/tex]
a hair salon charges a fixed rate of $25.00 for a haircut and then an additional $15 for any service . write a function to model the cost of services there and then determine how many services tou had iy you werecharged $25
A. F(x)= 15x+25; f(0)= 25
B.)f(x) = 25x+15;f(.4) =25
C.) f(x) = 15 x +25; f(25) =400
D.) f(x) = 25x +15;f(25) =640
The answer is A, it is 15x because the x is the number of services. The base rate is $25 so f(0) means 0 services so only $25
Answer:The answer is A, it is 15x because the x is the number of services. The base rate is $25 so f(0) means 0 services so only $25
Step-by-step explanation:
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
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.
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.
Translate the sum of 6 and the product of 8 and x into a mathematical expression
8 * x + 6
or
6 + ( 8 * x)
Answer:
[tex]6 + 8 \times x[/tex]
Step-by-step explanation:
Given the statement:
Translate the sum of 6 and the product of 8 and x
"Product of 8 and x" translated to: [tex]8 \times x[/tex]
"Sum of 6 and the product of 8 and x" translated to :
[tex]6 + 8 \times x[/tex]
Therefore, the given statement into a mathematical expression is:
[tex]6 + 8 \times x[/tex]
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.
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:
Your parents ask you to choose between two offers for an allowance.
The first offer is to receive one penny on the first day, 2 penny’s on the second day, 4 pennies on the third day, 8 pennies on the fourth day and so on. (365 days).
Second offer is to receive 10 dollars the first week, 20 dollars the second week, 30 dollars the third week, and so on, for the entire year (52 weeks).
Which offer should you choose to make more money?
Answer:
The pennies
Step-by-step explanation:
We can create a geometric equation for the pennies and an arithmetic equation for the dollars.
The format for a geometric equation is
[tex]y=a_1(\frac{1-r^n}{1-r} )[/tex]
If we plug in the values we already know we should get the equation.
[tex]y=2^x-1[/tex]
Now we can plug in the number of days in a year for [tex]x[/tex] to find how much money we get.
[tex]2^{365}=7.52*10^{109}[/tex]
Which is basically 752 with 107 zeros following it.
Then we can divide this number by 100 to find the number of dollars it is.
We get 752 with 105 zeros following it.
Now we can find the arithmetic equation for the dollars.
We can see that 10 dollars is being added every time.
Use the formula.
[tex]a_n=a_1+m(n-1)[/tex]
We can plug in.
[tex]a_n=10+10(n-1)[/tex]
Now we can substitute 52 for [tex]x[/tex] in the equation.
[tex]a_{52}=10+10(52-1)[/tex]
[tex]a_{52}=10+510 \\ \\a_{52}=520[/tex]
So you'll be getting 520 dollars at the end of the year, which is far less than the amount of money you get from the pennies.
Please please help me
Answer:
11 hours.
Step-by-step explanation:
One worker worked 6 hours, the other worked 5. 5+6 = 11
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
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.
Linda is making a line plot of the data below. 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 What are the least and greatest values in the data set?
Least: 10.5
Greatest: 14.125
Hope that helps!
The least and greatest values in the data set will be 10.5, 11.25, 11.25, 11.25, 12, 12.5, and 14.125.
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The data is given below.
11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12
Arrange the order into ascending order. Then we have
10.5, 11.25, 11.25, 11.25, 12, 12.5, 14.125
The least and greatest values in the data set will be 10.5, 11.25, 11.25, 11.25, 12, 12.5, and 14.125.
More about the ascending order link is given below.
https://brainly.com/question/320500
#SPJ3
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.
1.2,3,7.5,18.75, which formula can be used to describe the sequence
Answer:
[tex]a_{n}=1.2 \times(2.5)^{n-1}[/tex]
Step-by-step explanation:
If we observe the given sequence, we find that the ratio of two consecutive terms is the same. i.e.
[tex]\frac{3}{1.2}=2.5\\\\\frac{7.5}{3}=2.5\\\\ \frac{18.75}{7.5}=2.5[/tex]
Such a sequence in which the ratio of consecutive terms remain the same is know as Geometric Sequence. Following formula is used to represent a Geometric Sequence:
[tex]a_{n}=a_{1}\times(r)^{n-1}[/tex]
Here:
[tex]a_{n}[/tex] is the general term. Using the value of n =1,2,3 ... will give us the term of the sequence.
[tex]a_{1}[/tex] is the first term which is 1.2 in this case.
r represents the common ratio which is 2.5.
Using these values we get:
[tex]a_{n}=1.2 \times(2.5)^{n-1}[/tex]
This formula can be used to represent the given sequence.
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
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..
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
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.
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.
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
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: