Answer:
6:20
Step-by-step explanation:
The time 50 minutes before 07:10 will be 06:20.
please see attached question
A recipe uses 214
cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.
A model shows a total of c cups divided into 10 sections, each labeled 2 and 1 fourth.
Part A
Which equation models the total number of cups of flour, c, Henry needs?
c+214=10
214×c=10
10+c=214
214×10=c
Part B
How many cups of flour does Henry need?
2014
cups
2212
cups
2434
cups
2512
cups
Part C
Estimate how much flour Henry would need to make 15 batches of cookies. Explain.
I would round 214
to 2, so Henry would need about 30 cups of flour.
I would round 214
to 3, so Henry would need about 45 cups of flour.
I would round 214
to 1, so Henry would need about 15 cups of flour.
I would round 214
to 234
, so Henry would need about 30 cups of flour.
Henry would need approximately 3210 cups of flour to make 15 batches of cookies.
What is number?Number is a mathematical object used to count, measure, and label. It is an abstract concept used to represent a quantity, symbolized by a numeral, such as "1," "2," "3," and so on. Numbers can be represented in a variety of ways, including numerals, written words, and symbols. In mathematics, numbers are used to describe equations and formulas, as well as to solve problems.
This is because 214
cups of flour is used for one batch of cookies. Therefore, to make 15 batches of cookies, Henry would need to multiply 214
by 15, resulting in 3210
cups of flour. It is important to be accurate when estimating the amount of ingredients needed for a recipe, as incorrect measurements can negatively affect the outcome of the dish. In order to accurately estimate the amount of flour needed for 15 batches of cookies, it is important to round 214
to the nearest whole number. In this case, 214
can be rounded to 2, so Henry would need about 30 cups of flour per batch. Multiplying 30 by 15 results in the total amount of 3210
cups of flour needed for 15 batches of cookies.
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A population of deer is doubling every 3 years. The model y = 100(2) represents this growth.
This means that the population has doubled once more from 400 to 800 deer after 9 years.
Which acronyms best sum up population?The total population is the number of individuals who reside in a particular location. By assessing the population, we can determine the number of creatures and the best course of action. For instance, we can predict how many resources a city will require if we know its exact population.
In the model y = 100(2), y represents the population of deer, and 2 represents the growth factor, which is the factor by which the population is increasing.
If we plug in t = 3 (since the population is doubling every 3 years), we get:
y = 100(2¹) = 200
This means that the population has doubled from 100 to 200 deer after 3 years.
Similarly, if we plug in t = 6 (since the population doubles every 3 years), we get:
y = 100(2²) = 400
This means that the population has doubled again from 200 to 400 deer after 6 years.
And if we plug in t = 9, we get:
y = 100(2³) = 800
This means that the population has doubled once more from 400 to 800 deer after 9 years.
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classify the quadrilateral formed at the points: A(-3,1) B(4,2) C(9,-3) and D (2,-4)
tags: geometry homework help need fast
Answer:
Step-by-step explanation:
To classify the quadrilateral formed by the given points, we need to find the length of each side and the measure of each angle.
Using the distance formula, we can find the length of each side:
AB = sqrt((4 - (-3))^2 + (2 - 1)^2) = sqrt(49 + 1) = sqrt(50)
BC = sqrt((9 - 4)^2 + (-3 - 2)^2) = sqrt(25 + 25) = 5sqrt(2)
CD = sqrt((2 - 9)^2 + (-4 - (-3))^2) = sqrt(49 + 1) = sqrt(50)
DA = sqrt((-3 - 2)^2 + (1 - (-4))^2) = sqrt(25 + 25) = 5
Using the slope formula, we can find the measure of each angle:
Angle ABC: m1 = (2 - 1)/(4 - (-3)) = 1/7
m2 = (-3 - 2)/(9 - 4) = -1/5
tan(ABC) = |(m2 - m1)/(1 + m1m2)| = 3/4
ABC = arctan(3/4) ≈ 36.87°
Angle BCD: m1 = (-3 - 2)/(9 - 4) = -1/5
m2 = (-4 - (-3))/(2 - 9) = 1/7
tan(BCD) = |(m2 - m1)/(1 + m1m2)| = 3/4
BCD = arctan(3/4) ≈ 36.87°
Angle CDA: m1 = (-4 - 1)/(2 - (-3)) = -1
m2 = (1 - (-3))/(-3 - 9) = 1/2
tan(CDA) = |(m2 - m1)/(1 + m1m2)| = 7/5
CDA = arctan(7/5) ≈ 54.46°
Angle DAB: m1 = (1 - (-4))/(4 - (-3)) = 5/7
m2 = (-4 - (-3))/(-3 - 2) = 1/5
tan(DAB) = |(m2 - m1)/(1 + m1m2)| = 3/4
DAB = arctan(3/4) ≈ 36.87°
Therefore, the quadrilateral formed by the given points is a kite, because adjacent sides are congruent and one diagonal bisects the other diagonal at a right angle.
A coin is tossed 6
times.
What is the probability of getting all tails? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
Thus, if you round to four decimal places, 1/64, or around 0.0156, is the probability of getting all tails.
The probability equation is what?The ratio of positive events to every alternative result in the sample space is the traditional definition of probability. The formula for determining an event's probability is P(E) = (Number of favorable outcomes) (Sample space).
The information provided indicates that:The chance of obtaining tails on any particular flip, if the coin is fair, is fifty percent.
As every toss is independent of the others, the probability of receiving all tails on six tosses equals the product of both the probabilities that getting tails on each individual throw.
the probability of getting all tails on 6 tosses are as follows:
([tex]\frac{1}{2}[/tex]) x ([tex]\frac{1}{2}[/tex]) x ([tex]\frac{1}{2}[/tex]) x ([tex]\frac{1}{2}[/tex]) x ([tex]\frac{1}{2}[/tex]) x ([tex]\frac{1}{2}[/tex]) =[tex]\frac{1}{64}[/tex]
Thus, if you round to four decimal places, 1/64, or around 0.0156, is the probability of getting all tails.
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the vertical angle of an isocles triangle 45 what will be the size of it's base angles
Answer:
67.5
Step-by-step explanation:
180 - 45 =135 (angles in triangle add up to 180)
the base angles of an isoceles triangles are equal so..
135 /2 = 67.5
Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes 0.4 0.8 and 0.3
Hence, the probability that the employee is not late to work is 0.604
Supervisor: "If you increase your current quality score of 85% by 7%, you will have a
score of____.?”
A.90.5%
B.90.85%
C.90.95%
D.91%
E.91.25%
Answer: The answer is (C) 90.95%.
Step-by-step explanation:
To find the new quality score, we can add 7% of the current quality score of 85% to it:
New quality score = 85% + 7% of 85%
New quality score = 85% + 0.07 x 85%
New quality score = 85% + 5.95%
New quality score = 90.95%
Therefore, if the current quality score of 85% is increased by 7%, the new quality score would be 90.95%.
The answer is (C) 90.95%.
an Expression for difference of a number s and -6
After answering the given query, we can state that The expression for the difference between a number s and -6 is: s - (-6) or s + 6
what is expression ?In numbers, you can multiply, split, add, or take away. The following is how a phrase is made together: Numeric number, expression, and arithmetic operator The elements of a mathematical expression are integers, factors, and functions. It is feasible to use contrasting words and terms. Any mathematical declaration containing variables, integers, and a mathematical action between them is known as an expression, also known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.
The expression for the difference between a number s and -6 is:
s - (-6)
or
s + 6
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Describe the x-values at which the function is differentiable. (Enter your answer using interval notation.)
y =x^2/x² - 49
Answer: The x-values at which the function is differentiable are given by the open interval (-∞,-7)U(-7,7)U(7,∞)
Step-by-step explanation:
Given: [tex]y=x^{2} /x^{2} -49[/tex]
To Find: The x- values at which the function is differentiable.
Solution: First , We need to check whether the function is continuous and well- defined derivative at every point within its domain.
The given function is,
It is clear from the given function that the denominator [tex]x^{2} -49\neq 0[/tex] .
Therefore, [tex]x\neq[/tex] ±7 .
Also , we can simply the function as follows:
[tex]y=x^{2} /(x-7)(x+7)[/tex] - (1)
Now , Differentiate the above Equation with respect to x by using u/v method ( Quotient Rule),
[tex]y' = { (x-7)(x+7)(2x) - x^{2} [ (x+7) +(x-7)] } / (x-7)^{2} (x+7)^{2}[/tex]
[tex]y' =( x^{2} -49)2x - x^{2} (2x)/(x-7)^{2} (x+7)^{2}[/tex]
[tex]y'= 2x^{3} -98x-2x^{3} / (x-7)^{2} (x+7)^{2}[/tex]
[tex]y'= -98x/(x-7)^{2}(x+7)^{2}[/tex]
We note that ,
y' is defined for all x except x = ± 7 , which are the points of discontinuity of the original function.
Thus , the x-values at which the function is differentiable are given by the open interval (-∞,-7)U(-7,7)U(7,∞)
Answer:
x-values at which the function is differentiable in interval notation is ,
(-∞,-7)U(-7,7)U(7,∞)
If \( a=3 \) and \( b=4 \) then \( c \) must \( = \) ?
5
because a =3 and b=4 that shows that they add by 1 and when you add 1 to 4 it is 5
A force of 50 pounds is exerted at an angle of 80 with the horizontal. What is its horizontal component? 49 lb. 29 lb. 9 lb.
Answer:
i think its 7 thousand ngl
Step-by-step explanation:
The circumference of the circle below is 26 cm. Work out the diameter of the circle. Give your answer in centimetres (cm) to 1 d.p. cm
Th diameter of the circle is 8. 3 cm
How to determine the diameterThe formula for calculating the circumference of a circle is expressed as;
C = 2πr or πd
Given that the parameters are;
C is the circumference of the circleπ takes the constant value of 3.14 or 22/7r is the radius of the circled is the diameter of the circleFrom the information given, we have that;
circumference = 26cm
Substitute the values, we get;
26 = 3.14d
make 'd' the subject
d = 26/3.14
d = 8. 3 cm
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An investment account has an interest rate of 15% compounded continuously. You invest $1,500
into the account for 25 years. How much will your investment be worth? What is the total
return? What is the annual return?
In 25 years, your investment will be valued at roughly $111,720.09.
Total return = A - P
Total return = $111,720.09 - $1,500
Total return = $110,220.09
Annual return = [tex](e^{(0.15* 1)} - 1) * 100%[/tex]
Annual return ≈ 16.16%
What is interest?Interest is the fee paid for having access to borrowed funds. While the interest rate used to compute interest is often reported as an annual percentage rate, interest expense or revenue is sometimes expressed as a dollar figure (APR). The compensation a lender or financial organization receives for giving out money is called interest. The percentage of a stockholder's ownership in a corporation that is also referred to as interest.
from the question:
The following is the equation for continuously compounding interest:
[tex]A = Pe^{(rt)[/tex]
A = 1500
A ≈ $111,720.09
In 25 years, your investment will be valued at roughly $111,720.09
Total return = A - P
Total return = $111,720.09 - $1,500
Total return = $110,220.09
Annual return =[tex](e^{(rt)} - 1}) * 100 %[/tex]
Annual return =[tex](e^{(0.15* 1)} - 1) * 100%[/tex]
Annual return ≈ 16.16%
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now , calculate the distance of b to point c
Answer:
No
Step-by-step explanation:
because there's no photo
One particular model had a sticker price of $48,810 when it was new. It has just been marked down by 20%. What is the sale price of the vehicle
Therefore, the sale price of the vehicle after the 20% markdown is $39,048.
What factors go into determining the sale price?The entire cost of all the units you bought should be known to you. The cost price is calculated by dividing the total cost by the quantity of units purchased. Calculate the final price using the calculation for the selling price shown below: The cost plus a profit margin is the selling price.
To find the sale price of the vehicle after the 20% markdown, we can start by calculating the amount of the markdown:
Markdown = 20% of $48,810
Markdown = 0.20 * $48,810
Markdown = $9,762
The markdown is $9,762, so the sale price of the vehicle is:
Sale price = Sticker price - Markdown
Sale price = $48,810 - $9,762
Sale price = $39,048
Therefore, the sale price of the vehicle after the 20% markdown is $39,048.
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● RATIOS, PROPORTIONS, AND PERCENTS
Finding a percentage of a total amount: Real-world situations
milliliters
Explanation
A chemist is using 389 milliliters of a solution of acid and water. If 14.2% of the solution is acid, how many milliliters of acid are
there? Round your answer to the nearest tenth.
be here to search
Check
X
5
110%
Ś
0/5
Christine
Rain coming
Espai
© 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility
Rams
11:53 AM
AM
Answer:
55.2 mL
Step-by-step explanation:
To find the percent of a number, change the percent to a decimal by dividing the percent by 100, and multiply by the number.
14.2% of 389 mL =
= 0.142 × 389 mL
= 55.238 mL
Answer: 55.2 mL
A restaurant wants to test a new in-store marketing scheme in a small number of stores before rolling it out nationwide. The new ad promotes a premium drink that they want to increase the sales of. 16 locations are chosen at random and the number of drinks sold are recorded for 2 months before the new ad campaign and 2 months after. The average difference in nationwide sales quantity before the ad campaign to after (after - before) is 4 with a standard deviation of 7.04. Using this information, they calculate a 95% confidence paired-t interval of (0.25, 7.75). Which of the following is the best interpretation?
Question 6 options:
1)
The proportion of all stores that had a difference in sales between after the ad campaign to before is 95%.
2)
We are 95% confident that the difference between the average sales after the ad campaign and the average sales before the ad campaign is between 0.25 and 7.75.
3)
We are 95% confident that the average difference in the sales quantity after to before of the stores sampled is between 0.25 and 7.75.
4)
We are certain the average difference in sales quantity between after the ad campaign to before for all stores is between 0.25 and 7.75.
5)
We are 95% confident that the average difference in sales quantity between after the ad campaign to before for all restaurants is between 0.25 and 7.75.
By answering the given question, we may state that Because the expressions confidence interval only applies to the 16 businesses that were sampled and not all eateries, option 5 is wrong.
what is expression ?In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions.
Option 1 is erroneous since the confidence interval has nothing to do with the percentage of retailers with a certain degree of sales quantity variation.
Option 2 is erroneous because, instead of the change in overall sales, the confidence interval is for the difference between the average sales after and before the advertising campaign.
Because using the word "certain" when discussing statistical inference and uncertainty is improper, Option 4 is inaccurate.
Because the confidence interval only applies to the 16 businesses that were sampled and not all eateries, option 5 is wrong.
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A share of common stock has just paid a dividend of $2.10. If the expected long-run growth rate for
this stock is 5%, and if investors' required return is 10%, what is the current stock price (round your
answer to two decimal places)?
The current stock price is $42.00
How to calculate the current stock price?The current stock price can be calculated using the Gordon Growth Model, which states that the price of a stock is equal to the dividend divided by the difference between the required return and the expected growth rate.
In this case, the dividend is $2.10, the required return is 10% and the expected growth rate is 5%.
Therefore, the current stock price will be:
current stock price = $2.10 / (0.10 - 0.05) = $42.00.
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The table below lists recommended amounts of food to order for 60 party guests. How much of each food item should Nathan and Amanda order for a graduation party with 90 guests? Use the table to answer.
The amount of each food item that Nathan and Amanda should order for a graduation party with 90 guests is obtained multiplying each item on the table by 1.5.
How to obtain the amount of each item?The needed amount of each item is obtained applying the proportions in the context of the problem.
The ratio between 90 and 60 party guests is given as follows:
90/60 = 1.5.
That is, there will be 1.5 times more guests, hence the amount of food also has to be multiplied by 1.5.
Missing InformationThe problem is incomplete, hence the general procedure to obtain the amount of food is presented.
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The sum of the interior angles of each polygon is 360 $\degree$ . In the diagram, $DEFG\cong SPQR$ . Find the values of $x$ and $y$ .
The values of x and y when The sum of the interior angles of each polygon quals to 360 is 30 and 4
What is the sum of interior angles of four sided polygon?If a polygon is of four sides than it is called a quadrilateral, the sum of the interior angles of a quadrilateral is 360°
We are given that;
In polygon DEFG, GF=6feet, DE=4feet, angle E= 106degree, angle G= 84degree
In polygon QRSP angle Q=(y+38)degree, angle S=(3y+120)degree, PS=x.
Now,
D+E+F+G=360;
D+F=360-106-84=170
D+F=Q+S;
Y+38+3Y+12=170
4Y=170-50=120
Y=30
X=4
Therefore, the answer of x and y in quadrilaterals will be 30 and 4.
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In exploration 4. 3. 5 question 2, what information is not needed to find the sinusoidal equation that models this situation, and why?.
The information not needed to find the sinusoidal equation that models the situation is the amplitude of the wave.
What is Equation?An equation is a mathematical statement that two expressions are equal. It is usually written in the form of an equation with an equal sign "=" between two expressions that have the same value. Equations can be used to solve problems, model relationships between different quantities, and describe the behaviour of a system.
The amplitude of the wave is not necessary to determine the sinusoidal equation because it is a measure of the magnitude of the wave and does not directly influence the equation itself. The other values, such as the period, the initial phase, and the vertical shift, are all required to determine the sinusoidal equation of the wave.
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You have 8 balls that are each a different color of the rainbow. In how many distinct ways can these balls be ordered?
Red, orange, yellow, Green, Blue,indigo and violet
Consecutive Integer Problems
List information.
●
Consecutive integers: n, n+1, n + 2
Consecutive odd/even integers: n, n+ 2, n +4
Ex. Find two consecutive odd integers such that seven times the
first equals five times the second.
[tex]7n=5(n+2) \iff 7n=5n+10 \iff 7n-5n=10\\[/tex]
[tex]2n=10 \implies n = 5[/tex]
[tex]5 + 2 = 7[/tex]
[tex]5 \ \ and \ \ 7[/tex]
When a 6ft student casts a 17-ft shadow, a tree casts a shadow that is 102 ft long. Find the height of the tree
Answer:36 feet
Step-by-step explanation:
Without evaluating them, describe each of the following quantities as close to 0, close to 1, or much larger than 1.
1/1-2^-10
2^10/2^10 +1
2^-10/210 + 1
1-2^-10/2^10
1+2^10/2^-10
[tex]1/1-2^{-10} -[/tex] close to [tex]$0. 2^{10}/2^{10} +1 -[/tex] close to [tex]1 2^{-10}/2^{10} + 1 -[/tex] close to 1 1-[tex]2^-{10}/2^{10}-[/tex] close to [tex]0 1+2^{10}/2^{-10[/tex]- much larger than 1.
What are exponents?Exponent is the process of representing huge numbers as powers, according to the definition. Therefore, the exponent describes the number of times a number has been multiplied by itself. Using 6 as an example, multiply it by itself four times, or 6 6 6 6. 64 can be used to represent this. In this case, the base is 6 and the exponent is 4. You might interpret this as 6 increased to the power of 4.
For the given expression, observe the exponent of 2 to evaluate the value.
[tex]1/1-2^{-10}-[/tex]close to 0.
[tex]2^{10}/2^{10 }+1 -[/tex]close to 1
[tex]2^{-10[/tex] /[tex]2^{10}[/tex] + 1 - close to 1
[tex]1-2^{-10}/2^{10[/tex]- close to 0
[tex]1+2^{10}/2^{-10[/tex]- much larger than 1.
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Somebody PLEASE HELP ME!!!
Read image
Rosa is proving this theorem angles supplementary to the same angle are congruent
What is the correct order for these statements and reasons?
The correct order for the prove to show that angle 1 is congruent to angle 2
C. 3 1 5 2 4How to determine the orderSupplementary angles are two angles whose measures add up to 180 degrees. In other words, if angle A and angle B are supplementary angles, then A + B = 18
The given data is the first and this is 3
Then definition of supplementary angles which is 1
∠ 1 + ∠ 3 = 180
∠ 2 + ∠ 3 = 180
Then equating both, option 5
∠ 1 + ∠ 3 = ∠ 2 + ∠ 3
subtraction is done as follows, option 2
∠ 1 + ∠3 - ∠ 3 = ∠ 2 + ∠ 3 - ∠ 3
∠ 1 = ∠ 2 this yields step 4
Hence we can say that the correct order is 3 1 5 2 4 which is option C
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Find the net force fnet acting on the sled. Express your answer in terms of some or all of the variables m , s , v1 , and v2.
The net force on an object at a given mass, velocity, and time is F(net) = m(v₂ -v₁)/t.
What is a net force?
The vector sum of the forces exerted on a particle or object is known as the net force. The original forces' impact on the motion of the particle is replaced by the net force, which is a single force. A net force is defined as the sum of all the forces acting on an object.
Here,
We have to net force feet acting on the sled in terms of some or all of the variables m, s, v1, and v2.
Newton's second law of motion can be applied to determine the acceleration of the object at a given net force.
∑F = ma
where;
∑F is the net force
m is the mass
a is the acceleration
F(net) = m(v₂ -v₁)/t
Hence, the net force on an object at a given mass, velocity, and time is F(net) = m(v₂ -v₁)/t.
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Multiply (2x +4)(x -4)
Answer:
2x² - 4x - 16
Step-by-step explanation:
(2x + 4)(x - 4)
each term in the second factor is multiplied by ech term in the first factor
2x(x - 4) + 4(x - 4) ← distribute parenthesis
= 2x² - 8x + 4x - 16 ← collect like terms
= 2x² - 4x - 16
What are the solutions of the follow 6+4|x+1|=6
The expression for the Bone mass m of a human femur of length L in terms of the outer radius R, the inner radius r and the ratio k = r/R. More generally, if the bone density is p, measured in g/cm³, then bone mass is given by the equation: M = π r² L [p − (p − 1) * k²] It may happen that p and k change with age, t. If k changes during aging 0.5 mm per year, find the rate of change of m with respect to t, At the time in which r = 40mm, 1 = 300mm, p = 2.
Answer: To find the rate of change of m with respect to t, we need to use the chain rule of differentiation.
We can start by expressing M in terms of k instead of r and R:
M = π(Lp/k^2) * (R^2 - r^2) * (1 - (1 - 1/p)k^2)
Next, we can take the derivative of M with respect to t, using the chain rule:
dM/dt = πLp/k^2 * [(dR/dt)^2 - (dr/dt)^2] * (1 - (1 - 1/p)k^2) + πLp/k^2 * (R^2 - r^2) * (-2k/p) * (dk/dt)
At the given time when r = 40mm, L = 300mm, p = 2, and k = r/R, we can substitute these values into the equation and simplify:
k = r/R = 40/R
p - (p-1)k^2 = 2 - (2-1)(40/R)^2 = 1 + 1600/R^2
dR/dt = 0 (since R is not changing with time)
dr/dt = -0.5 mm/year (since r is changing at a rate of 0.5 mm/year)
dk/dt = (1/R)(dr/dt) = (-0.5/R) mm/year
Substituting these values into the expression for dM/dt, we get:
dM/dt = π(300)(2)/(40^2) * [0 - (-0.5)^2] * (1 + 1600/R^2) + π(300)(2)/(40^2) * (R^2 - 40^2) * (-2(40/R)/2)
Simplifying and evaluating at R = 200mm, we get:
dM/dt = 7.5π g/year
Therefore, the rate of change of bone mass with respect to time is 7.5π g/year when r = 40mm, L = 300mm, p = 2, and k changes at a rate of 0.5 mm/year.
Step-by-step explanation:
