your grandmother is in the hospital and is on a liquid diet. After examining her chart, a mistake is found stating that her weight is 500kg. what is the equivalent weight in pounds
What is the answer to 8=56, 7=42, 6=30, 5=20, 3=?
8. Susie had $150 in her checking account. She wrote a check for $95 and another check for $85. What was the balance in her account after she wrote the check?
how do you solve for 2w+8=-3+2w
The population of a city in Alabama increases every year by 11.5 percent. If the population in 2011 was 4.8 million, what will its population be in 2016?
A)2.6 million
B)2.76 million
C)8.27 million
D)220 million
Determine if the number is divisible number 15
what is 3/4 of 535?????????
if the quotient of -20 and 4 is decreased by 3 what number results
quotient is division
-20/4 = -5
-5 -3=
-8
the number is -8
A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?
Compound interest formula: (image uploaded V(t) )
t = years since initial deposit
n = number of times compounded per year
r = annual interest rate (as a decimal)
P = initial (principal) investment
V(t) = value of investment after t years
A. 5.9 years
B. 6.1 years
C. 23.4 years
D. 24.5 years
Compound interest is the interest generated overtime on a sum of money invested. The time it will take for the amount of money to double is 5.9 years
How to calculate the compound interest?Compound interest is the interest generated overtime on a sum of money invested. The formula for calculating compound interest is expressed as:
V(t) = P(1+r/n)^nt
where:
t = years since initial depositn = number of times compounded per yearr = annual interest rate (as a decimal)P = initial (principal) investmentV(t) = value of investment after t yearsGiven the following
V(t) = 2P
r = 0.12
n = 4
Substitute
2P = P(1+0.12/4)^4t
2 = (1.03)^4t
ln2 = 4t ln(1.03)
0.6931 = 0.1182t
t = 0.6931/0.1182
t = 5.9 years
Hence the time it will take for the amount of money to double is 5.9 years
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Lisa and Alice are playing a game. Each player either receives or has to pay play money based on the result of their apin. The table lists how much a player reieves or pays for various spins.
Answer:
Outcome Bag of Gold Magic Wand
Relative frequency 0.32 0.68
The relative frequency of getting a bag of gold is .......... reasonably close
.32 is close to 30% so
Alison's claim about the theoretical probability is likely to be 2............true
Further, this means that the theoretical probability of getting a magic wand is most likely 3............1 - 30% = 70%
Step-by-step explanation:
Simplify:-3 1/2-(12 1/4)
carl puts $1.10 in his piggy bank everyday in month of July (31 days)his total saving was $55.00 at the end of June what is the best estimate for his savaging at the end of June
Step by step how to factor:
2y^2+9y+9=0
Simplify by dividing negative three over eight divided by five over nine..
A. negative fifteen over seventy-two.
B. fifteen over seventy-two.
C. negative twenty-seven over forty.
D. twenty-seven over forty.
Answer:
-27/40
Step-by-step explanation:
What three ratios of the lengths of two segments equal?
Which expression results when the change of base formula is applied to log4(x+2) ?
Answer-
[tex]\frac{\log (x+2)}{\log 4}[/tex] is the correct answer.
Solution-
The formula for change of base in logarithm is given by,
[tex]\log_{b}a=\frac{\log_{c}a}{\log_{c}b}[/tex]
If we take the common base as 'e' , the formula becomes,
[tex]\log_{b}a=\frac{\log a}{\log b}[/tex]
Applying this formula,
[tex]\log_{4}(x+2)=\frac{\log (x+2)}{\log 4}[/tex]
∴ As the first option matches with our answer, hence it is the correct answer.
( In the fourth option a bracket is missing, so it is not the correct option)
can someone please help me with using the quadratic formula to find the solutions to the equation
Determine the discriminant for the quadratic equation 0 = –2x2 + 3. Based on the discriminant value, how many real number solutions does the equation have?
Discriminant = b2 – 4ac
real number solutions
The positive value of the discriminant implies that there are two real unequal roots and this can be determined by using the formula of the discriminant.
Given :
The quadratic equation is [tex](0=-2x^2+3)[/tex].
The following steps can be used in order to determine the total number of real solutions does the equation have:
Step 1 - Write the given quadratic equation.
[tex]0=-2x^2+0x+3[/tex]
Step 2 - The formula of discriminant is given below:
[tex]D = b^2-4ac[/tex]
where 'b' is the coefficient of 'x', 'a' is the coefficient of [tex]x^2[/tex], and 'c' is the constant.
Step 3 - Now, substitute the values of a, b, and c in the above formula.
[tex]D = (0)^2-4\times (-2)\times 3[/tex]
[tex]D = 24[/tex]
Step 4 - The positive value of the discriminant implies that there are two real unequal roots.
For more information, refer to the link given below:
https://brainly.com/question/12657401
A 33 - m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 37 m . Find the length of the shadow. If necessary, round your answer to the nearest tenth.
To solve this, we use Pythagoras' theorem as we have a right-angled triangle formed by the building, its shadow and the line between the top of the building to the end of the shadow. We find that the length of the shadow is approximately 16.7 meters.
Explanation:To solve this problem, we need to apply Pythagoras' theorem because the building, the shadow and the line between the top of the building to the end of the shadow form a right-angled triangle.
Pythagoras' theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This can be written as:
a² + b² = c²
In this scenario, the height of the building is one side of the triangle (a), the shadow is the other side (b), and the line from the top of the building to the tip of the shadow is the hypotenuse (c).
So, to find the length of the shadow, we rearrange the formula to solve for b:
b = sqrt(c² - a²)
Then, we substitute the known values:
b = sqrt( (37m)² - (33m)²) = sqrt(1369 - 1089) = sqrt(280) = 16.7m
So, the length of the shadow is approximately 16.7 meters.
Learn more about Pythagoras' theorem here:https://brainly.com/question/343682
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DIVIDING ALGEBRAIC FRACTIONS
2p/4p^2 divided by 6p^3/6p+3
simplify the expression 3xy(2x+5y)
Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?
Solve. 54 ÷ (4 – 1)3
Factor the difference of two cubes
What is 7 to the 4 world power in expanded form?
Anyone know the answer to these problems?
Explain with steps
Correct answer will receive Brainliest
Find the sum of 914 and 878
!!PLEASE HELP!!
After school, Mike spends from 4:00 to 6:00 doing homework, eating, and playing sports. If he spends 65 minutes on homework and 15 minutes on eating, how much time does he have to play sports?
Estimates 3 2/3 \ 3 2/9
An object is launched upward with an initial velocity of 64 feet per second from a platform 80 feet high. Write a model for the object? How many seconds until the maximum height is reached? What will be the maximum height? How many seconds until the object hits the ground
The model for the object's motion is [tex]h(t) = -16t^2 + 64t + 80[/tex]. It reaches its maximum height of 144 feet at 2 seconds. The object will hit the ground after 5 seconds.
To model the vertical motion of the object, we use the equation:
[tex]h(t) = -16t^2 + 64t + 80[/tex]
where:
h(t) is the height at time t64 ft/s is the initial velocity80 ft is the initial height[tex]16t^2[/tex] represents the effect of gravity (since the gravitational acceleration is approximately 32 ft/s2, and here it is halved to be per second squared)Time to Reach Maximum Height
The time to reach the maximum height can be found by using the formula:
[tex]t = \frac{v_0}{|g|} = \frac{64}{32} = 2 seconds[/tex]
Maximum Height
Plug t = 2 seconds into the height equation:
[tex]h(2) = -16(2)^2 + 64(2) + 80 = 144 feet[/tex]
Time to Hit the Ground
To find when the object hits the ground (h(t) = 0), solve:
[tex]-16t^2 + 64t + 80 = 0[/tex]
Using the quadratic formula:
[tex]t = \frac{-64\pm\sqrt{64^2-4(-16)(80)} }{2(-16)}[/tex]
Simplifies to:
t = 5 seconds (since the negative value does not make sense in this context)
The object will hit the ground after 5 seconds.