25.42 marked down by 33%

Answers

Answer 1

25.42 marked down by 33 % is 17.0314.

This is a question of percentages.

Percentage

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Percentages have no dimension. Hence it is called a dimensionless number.

33 % of 25.42 is given by:-

(33/100)*(25.42) = (33*25.42)/100 = 838.86/100 = 8.3886

25.42 marked down by 33 % = 25.42 - 8.3886 = 17.0314.

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Related Questions

Find the value of x that makes lines u and v parallel.
3)
78
17x-5
U
21x-5 v
biped

Answers

Hello, the correct answer to your question should be 5.

As seen in the photo below, the sum of the given angle values must equal [tex]180^o[/tex].

[tex](17x-5)+(21x-5)=180[/tex]

Therefore, when we add these two values, we get the number [tex]"38x-10"[/tex]. If we equalize this number to [tex]180^o[/tex], we find the value of our [tex]x[/tex] as [tex]5[/tex].

[tex]38x-5=180[/tex][tex]38x=190[/tex][tex]x=5[/tex]

In a toy store the ratio of the number of dolls to the number of teddy bears is 6:5 if the store has 240 dolls how many teddy bears are in the store

Answers

About 200 teddy bears in the store.

Given,

The ratio of the number of dolls to the number of teddy bears is 6:5

and,  The store has 240 dolls.

To find the number of teddy bears are in the store.

Now, According to the question:

Total no. of dolls are 240

The ratio of dolls and teddy bears are 6:5

Then, For dolls

= 240/6 = 40dolls

So, Teddy Bears = 40 × 5 = 200

Hence, About 200 teddy bears in the store.

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(0.020) (0.030) / (0.10)x = 2.3 × 10-4

Answers

The value of x in the equation is 26. 087

What are algebraic expressions?

Algebraic expressions are defined as expressions made up of terms, constants, coefficients, factors and variables.

They may also include certain mathematical or arithmetic operations which includes;

BracketDivisionAdditionSubtractionParenthesesMultiplication and so on

Given the equation;

(0.020) (0.030) / (0.10)x = 2.3 × 10-4

We can simply the equation following the steps;

expand the brackets, we have;

6× 10^-4/ 0.10x = 2.3 × 10^-4

Now, cross multiply

0.10x × 2.3 × 10^-4 = 6× 10^-4

Divide both sides by 2.3 × 10^-4

0. 10x =  6× 10^-4/2.3 × 10^-4

Find the quotient

0. 10x = 2. 608

Let's make the variable 'x' by dividing both sides by it's coefficient

0. 10x/0.10 = 2. 608/0. 10

x = 26. 087

Hence, the value is 26. 087

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Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value. N=4; i and 4i are zeros; f(-1)=102

Answers

Answer:

[tex]f(x)=3x^4+51x^2+48[/tex]

Step-by-step explanation:

As n = 4, the degree of the polynomial is 4.

Therefore, the function cannot have more than 4 distinct roots.

[tex]\implies f(x)=a(x-p)(x-q)(x-r)(x-s)[/tex]

If a complex number z is a root of f(z) = 0 then its complex conjugate is also a root.  Therefore:

If i is a root, then -i is also root.If 4i is a root, then -4i is also root.

[tex]\implies f(x)=a(x-i)(x+i)(x-4i)(x+4i)[/tex]

[tex]\implies f(x)=a(x^2-i^2)(x^2-16i^2)[/tex]

[tex]\implies f(x)=a(x^2-(-1))(x^2-16(-1))[/tex]

[tex]\implies f(x)=a(x^2+1)(x^2+16)[/tex]

Given f(-1) = 102, then:

[tex]\begin{aligned}\implies f(-1)=a((-1)^2+1)((-1)^2+16)&=102\\a(1+1)(1+16)&=102\\a(2)(17)&=102\\34a&=102\\a&=3\end{aligned}[/tex]

Therefore:

[tex]\implies f(x)=3(x^2+1)(x^2+16)[/tex]

[tex]\implies f(x)=3(x^4+17x^2+16)[/tex]

[tex]\implies f(x)=3x^4+51x^2+48[/tex]

The compositions f(g(x)) and g(f(x)) of functions f and g are shown on the graph. Which statements describe the compositions? Check all that apply. f(g(x)) = g(f(x)) for at least one value of x. The composition of f and g is commutative. f(g(0)) = 5 and g(f(–2.5)) = 5. Both f(g(x)) and g(f(x)) have the same domain. The graphs show that function composition is not commutative.

Answers

Given the Graph functions above, the option that applies in the above scenario are:

f(g(x)) = g(f(x)) for at least one value of x. [Option A]f(g(0)) = 5 and g(f(–2.5)) = 5. [Option C]Both f(g(x)) and g(f(x)) have the same domain. [Option D]The graphs show that function composition is not commutative. [Option E]

What is a Graph function?

A function's graph is the set of all points in the plane of the form (x, f(x)). The graph of f might similarly be defined as the graph of the equation y = f. (x). As a result, the graph of a function is a subset of the graph of an equation.

Explanation for Option A:

Note that both functions intersect at some point. That one is where f(g(x)) = g(f(x)) for at least one value of x. Note, this is for the value of x and not y;

Explanation for Option C:

This simply means that on the if f(g) where y = 5,x is 0; for g(f) where y = 5, x = -2.5. This is also observable in the graph

Explanation for Option D

If two functions f and g have the same domain and codomain, and f(a)=g for every an in the domain, we say they are equal (a).

Explanation for Option E
If a graph is cummulative, there will be a noticeable trend either as an upward trajectory or a negative one with the line crossing the origin. This is not the case here.

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Answer:

The expert answer is correct.  But here is the short answer.

1, 3, 4, 5.

HLEPSHAMUWGDBANSGSHD

Answers

Check the picture below.

Which one of these pictures is not like the others? Explain what makes it different using ratios. ​

Answers

M is not like the others. ratio and proportion is used.

What is ratio?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7). Any number of quantities, such as counts of people or objects or measurements of length, weight, or time, etc., can be included in a ratio. In most cases, both numbers must be positive.

Shorter diameter of L is 3:4.
the ratio of M is 4/8= 1:2
the ratio of N is 9/12= 3:4 (count the squares)
so, M is not like the others.

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Quinn is baking sweet potato pies. The table shows the ratio of cups of sugar to number of pies. Number of Pies 3 5 9 Cups of Sugar 1 and one half 2 and one half 4 and one half How many cups of sugar will Quinn need to make 16 pies? 8 cups 8 and one half cups 9 and one half cups 11 cups​

Answers

The number of cups of sugar that is required to make 16 pies is equal to 8 cups.

What is a direct proportion?

Mathematically, a direct proportion can be represented the following mathematical expression:

y = kx

Where:

x represents the number of pies.y represents the cups of sugar.k represents the constant of proportionality.

Since the cups of sugar varies directly (direct proportion) with the number of pies, the cups of sugar and number of pies must remain in a constant ratio.

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = (1 1/2)/3

Constant of proportionality (k) = 0.5 or 1/2

From the above mathematical expression for direct proportion, an equation which models the situation or relationship is:

y = kx

y = 0.5x

Now, we can determine the number of cups of sugar at x = 16:

y = 0.5 × 16

y = 8 cups of sugar.

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a construction company has found it has a probability of 0.10 of winning each time it bids on a project. the probability of winning a given number of projects out of 12 bids could be determined with a binomial distribution.

Answers

Every time a construction company submits a bid, the odds of winning are 0.10 percent. With the aid of a binomial distribution, it is possible to calculate the likelihood of selecting a specific number of projects out of 12 bids: TRUE

What is binomial distribution?When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution. For the trials we are looking at, the probability of receiving success in a binomial distribution must stay constant. Since there are only two possible outcomes when tossing a coin, for instance, the probability of flipping a coin is 1/2 or 0.5 for each trial we conduct.

As it is given in the description itself that the probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.

Therefore, the statement "every time a construction company submits a bid, the odds of winning are 0.10 percent. With the aid of a binomial distribution, it is possible to calculate the likelihood of selecting a specific number of projects out of 12 bids" is TRUE.

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The complete question is given below:
A construction company has found it has a probability of 0.10 of winning each time it bids on a project. the probability of winning a given number of projects out of 12 bids could be determined with a binomial distribution. TRUE or FALSE.

Simplify the expression (x12)3

Answers

Answer:

36x

Step-by-step explanation:

(x12)x3
Simplify
36x

A brown bear can run 44 meters in 4 seconds. At this rate, how far could a brown bear run in 20 seconds?

Answers

Answer:

220 meters

Step-by-step explanation:

20 seconds is 5 times larger than 4 seconds, so the distance it runs in 20 seconds should be 5 times longer than 44 meters
so:
20/4 = 5
since x is 5 times larger than 44, set up the equation
5 = x/44
multiply both sides by 44
x= 44 * 5 = 220 meters


a. List the first six terms of the arithmetic sequence and identify the common
difference.
a₁ = 7
an = an-1 + 4
b. Find a15-
c. Find the sum of the first 15 terms in the sequence.

Answers

Answer:

a1=7

an=an-1+4

a2=a2-1+4

a2=a1+4

a2=7+4

a2=11

a3=a3-1+4

a3=a2=+4

a3=11+4

a3=15

a4=a4-1+4

a4=a3+4

a4=19

a5=23

a6=27

a15=62

The common difference is 4.

The sum is 517.

what is the median
72 73 75 76 76 79 83 85
can yall help

Answers

Answer:76

Step-by-step explanation:

the median is the middle number but since there was an even amount of numbers, I chose the middle 2 numbers. Since they were the same number they stay as 1 number making the answer 76.

(NEED HELP ASAP)

The table shows the air pressure in pounds per square inch at different altitudes in thousand feet
Altitude (thousand feet)
5 10 15 20 25 30 35 40 45
Air pressure (pounds per square inch) 12.4 10.2 7 62 52 42 34 26 20
Which scatter plot best represents the data in the table?

Answers

A scatter plot which best represents the data in the table is scatter plot B.

What is a scatter plot?

A scatter plot is also referred to as scatter chart, scatter diagram or scattergram and it can be defined as a type of graph which is used for the graphical representation of the values of two (2) variables, with the resulting points showing any association (correlation) between the data set.

In this scenario, the altitude (thousand feet) would be plotted on the x-axis of the scatter plot while the air pressure (pounds per square inch) would be plotted y-axis of the scatter plot as depicted in the image attached below.

In conclusion, we can reasonably infer and logically deduce that scatter plot B best represents the data in the table.

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A basket ball player average 13.5 points per game find the value of x the number of points scored in 7 games

Answers

Answer:

x= 13.5(7)

x=94.5

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Can the numbers 12, 6, 6 be used to form the sides of a triangle? Why or why not

Answers

Answer:

No

Step-by-step explanation:

Not because the sum of the measurements of the smaller sides (6, 6) must not be equal to or greater than the measure of the larger side (12) since in these conditions the triangle does not exist.

Hope this helps

Using the numbers 12, 6, 6, the triangle can not be formed.

What is the triangle inequality theorem?

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Here, we have,

given that,

The given numbers are 12, 6 and 6.

Here, 6 + 6 = 12 but not greater than 12

so, we get,

Therefore, using the numbers 12, 6, 6, the triangle can not be formed.

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Mia borrowed $800 from her brother to start a small business. She applies to sell her products at a vendor fair. The vendor fair requires all businesses to pay a $50 entry fee, plus 10% of their sales.

If Mia sells $1,050 worth of products at the fair, how much money will she earn in total, after paying the vendor fees and repaying her brother's loan?

Answers

The money that she earns in total, after paying the vendor fees and repaying her brother's loan is $95.

How to calculate the value?

From the information, Mia borrowed $800 from her brother to start a small business and she then applies to sell her products at a vendor fair.

Also, it should be noted that the vendor fair requires all businesses to pay a $50 entry fee, plus 10% of their sales.

The amount that she will earn after selling $1050. worth of product will be;

= $1050 - Amount borrowed - Entry fee - Percentage on sales

= $1050 - ($800) - $50 - (10% × $1050)

= $1050 - $800 - $50 - $105

= $95

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Rafael rented a truck for one day. There was a base fee of 15.95, and there was an additional charge of 74 cents for each mile driven. Rafael had to pay 220.19 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer: He drove 276b miles with the truck

Step-by-step explanation: 220.19 - 15.95 = 204.24

204.24 / .74 = 276

Answer is 276 miles driven

Step by step

We can use the y intercept formula for this
y = mx + b

We know y = $220.19
We know m = .74 (per mile)
We know b = $15.95 (base fee)

220.19 = .74x + 15.95

Solve

Subtract 15.95 from both sides to isolate variable

220.19 - 15.95 = .74x + 15.95 - 15.95

$204.24 = .74x

276 = x miles driven

Company A charges $25 per day plus $0.25 per mile driven to rent a car. Company B
charges $35 per day plus $0.15 per mile driven to rent a car. How many miles must be
driven for a two-day rental from Company B to be less than a two-day rental from
Company A?

Answers

The number of miles that must be driven for the two-day rental from Company B to be less than Company A is 200 miles.

What is the number of miles?

The equation that can be used to determine the total cost of renting from Company A is:

Total cost = (cost per day x number of days) + (cost per mile x number of miles)

($25 x 2) + ($0.25 x m)

$50 + $0.25m

The equation that can be used to determine the total cost of renting from Company B is: ($35 x 2) + ($0.15 x m)

$70 + $0.15m

The equation that can be used to determine the number of miles where it would be cheaper to rent for two days from Company B is:

$70 + $0.15m  < $50 + $0.25m

$70 - $50 < $0.25m - $0.15m

$20 < $0.10m

m < $20 / 0.10

m < 200

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given that x=1+2i and y=1-2i calculate x+y x-y x•y and x/y

Answers

Answer:

1

Step-by-step explanation:

I like visiting other prisons people up when they are down in the class for lunch

Show that z=1±i satisfies the equation z²-2z+2=0

Answers

We can show z = 1 ± i satisfies the equation [tex]z^2-2z+2=0[/tex] by putting the values of z in the given equation.

z = 1 ± i

Equation:

[tex]z^2-2z+2=0[/tex]

We have to show that z satisfies the given equation.

Complex numbers

A complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation [tex]i^2 = -1[/tex]; every complex number can be expressed in the form a + bi, where a and b are real numbers.

Putting z = 1 + i in the given equation, we get

[tex](1+i)^2-2(1+i)+2 = 1 + i^2+2i -2-2i+2[/tex]

= (1 - 1 -2 +2) + (2i - 2i)  

= 0 + 0 = 0

Putting z = 1 - i in the given equation, we get

[tex](1-i)^2-2(1-i)+2 = 1 + i^2-2i -2+2i+2[/tex]

= ( 1 - 1 - 2 + 2) + (-2i+2i)

= 0 + 0 = 0

As we can see that putting z = 1 ± i  in the given equation, we get 0, hence, we have shown that z satisfies the given equation.

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1. Minimum salary: $160.
Commission: 53% on $2900.

Answers

Total income for Minimum salary: $160 and Commission: 53% on $2900 will be  $1,697.

Salary and Commission : -

A salary is a set earnings that an employee normally gets on a weekly, biweekly or month-to-month foundation. A Commission is greater earnings an worker earns once they promote items or services.

We had given the minimum salary of $160 which will be fixed and not depend on the earning of the commission.

Now As given the sale of $2900 and the commission percentage of 53%

∴ Total Commission will be = [tex] \frac{2900\ (53)}{100} [/tex]

∴ Total Commission = 29 (53).

∴ Total Commission = $ 1,537

∴ Total Income will be the addition of base/minimum salary and the commission in total.

∴ Total income will be $160 + $1,537

∴ Total income = $1,697.

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10x - 26 = 3x + 23

x= ?

Answers

10x - 26 = 3x + 23

x = 7

To find out x

10x - 3x = 23 + 26

7x = 49

x = 7

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Answer: x=7

Step-by-step explanation

[tex]10x-26=3x+23\\[/tex]

First you want to get the x's to one side you would subtract 3x from both sides.

Then your equation should be:

[tex]7x-26=23[/tex]

Then you want to add 26 to both sides.

[tex]7x=49[/tex]

Then you would divide both sides by 7, making your answer:

[tex]x=7[/tex]

9 customers entered a store over the course of 18 minutes. At what rate were the customers entering the store in minutes per customer?

Answers

Answer:

2 min

Step-by-step explanation:

18/

Find the range of the function f(x) = x² - 5x for the domain {2, 4, 7).
Range:

Answers

By evaluating the function f(x) = x² - 5 · x, the range of the function is {- 6, - 4, 14}.

How to determine the range of the function

In this problem we have a domain, that is, an input set, formed by three natural numbers and a quadratic equation that represents a function that allows us to find the corresponding elements of the range, that is, the output set. The elements of the range are found by evaluating the quadratic equation at each element from domain:

x = 2

f(2) = 2² - 5 · 2

f(2) = 4 - 10

f(2) = - 6

x = 4

f(4) = 4² - 5 · 4

f(4) = 16 - 20

f(4) = - 4

x = 7

f(7) = 7² - 5 · 7

f(7) = 49 - 35

f(7) = 14

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One hundred grams of honey contains about 0.3 grams of protein. How many milligrams is 0.3 grams of protein?​

Answers

300 milligrams is 0.3 grams of protein.

What is conversion?

A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 12 inches equals one foot when converting between inches and feet.

To convert a value or expression between two different forms. • Measurement: converting between different units, for as from inches to millimeters or liters to gallons. For instance, change 12 inches to millimeters. 304.8 millimeters are equal to 12 inches multiplied by the inch-to-millimeter ratio of 25.4.

Given Data

100 grams of honey  contains about 0.3 grams of protein.

1 gram = 1000 milligrams

To find milligrams in protein:

0.3 grams multiplied by 1000

0.3(1000)

300

300 milligrams is 0.3 grams of protein.

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how to divide 306.67 and 254.00 i rlly need help i have a project due tmr.

Answers

The value of the quotient is 1.207

How to evaluate the quotient?

The statement is given as

Divide 306.67 and 254.00

Rewrite the above statement properly

So, we have

Divide 306.67 by 254.00

Rewrite the above statement as a quotient expression

So, we have

306.67/254.00

Express 306.67 as 254.00 + 52.67

So, we have

306.67/254.00 = (254.00 + 52.67)/254.00

Evaluate the quotient of 254 and 254

So, we have

306.67/254.00 = 1 + 52.67/254.00

Evaluate the other quotient

So, we have

306.67/254.00 = 1 + 0.207

306.67/254.00 = 1.207

Hence, the value of the statement "divide 306.67 and 254.00" is 1.207

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What percentage is 55cm of 4 metres ?

Answers

55cm is 13.75% of 4 meters.

Answer: 12.5%

Step-by-step explanation:

There are 100 CM in 1 M.

4×100=400

50/400=12.5

please answer the two boxes:
find the equation of line line form y=mx+c

Answers

The equation of the line in the form y = mx + b are as follows:

y = -2x + 9y = 2x - 3

How to find the equation of a line?

The equation of a line can be found as follows:

Using the slope intercept form,

y = mx + b

where

m = slopeb = y-intercept

Therefore, let's find the slope using the table.

(-4, 13)(-3, 11)

m = 11 - 13 / -3 + 4

m = - 2 / 1

m = -2

Let's find the y-intercept using (-4, 13)

13 = -2(-2) + b

13 - 4 = b

b = 9

Therefore, the equation of the line is y = -2x + 9

Using the second table,

(0, -3)(2, 1)

m = 1 + 3 / 2 - 0

m = 4 / 2

m = 2

y-intercept = b = -3

Therefore,

the equation of the line is y = 2x - 3

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Write an equation of a line that is perpendicular to y = 3x + 3 and passes through (−6, 3).

y equals negative one-third times x plus 1
y equals negative one-third times x minus 5
y = 3x + 21
y = 3x − 15

Answers

The equation of a line that is perpendicular to y = 3x + 3 is option A y equals negative one-third times x plus 1(-1/3x + 1)

Given,

The equation of line, y = 3x + 3

The line passes through (-6, 3)

We have to find the equation of the line that is perpendicular to y = 3x + 3

Slope of the line, m = 3

Here, in perpendicular case, slope is negative of its reciprocal.

That is, m = -1/3

Now, we can find the equation

y - y₁ = m(x - x₁)

Here,

y₁ = 3

x₁ = -6

m = -1/3

So,

y - 3 = -1/3(x - (-6))

y - 3 = -1/3(x + 6)

y - 3 = -1/3x + -1/3(6)

y - 3 = -1/3x - 6/3

y - 3 = -1/3x - 2

y = -1/3x - 2 + 3

y = -1/3x + 1

That is, the equation of a line that is perpendicular to y = 3x + 3 is y equals negative one-third times x plus 1(y = -1/3x + 1)

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Answer:A is the answer

Step-by-step explanation:

i got it right on the test

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Which fractions are equivalent to 0.63? Select all that apply. What is the measure of x?HELP NEEDED ASAP what is prime numbers? 1. Joel purchased a picture frame. Each side measures 1 1/4 feet. a. What is the area of the frame? effect of omitting adjusting entry the adjusting entry for accrued fees was omitted at the end of the current year. indicate which items will be in error, because of the omission, on (a) the income statement for the current year and (b) the balance sheet at the end of the year. also indicate whether the items in error will be overstated or understated. which of the following contains the element sodium.ResponsesNaClNaClNCl3NCl, 3SO4SO, 4SoNO3SoNO, 3 For a smoothie, Isaac needs 3 quarts of strawberry puree, which is sold in bottles of 1 pint and bottles of 1 cup. He already had 1.75 quarts of puree. If he wants to buy exactly three bottles in total, how many of each bottle should he buy? pint bottle(s) cup bottle(s) (c) The man lifts his suitcase.The increase in gravitational potential energy of the suitcase is 264 J.The mass of the suitcase is 12 kg.Calculate the vertical height the suitcase is raised.(gravitational field strength, g = 10 N/kg)Use the equation:change ingravitationalnsl juoy ritiw qlent of magsib s web Vem UOYorpotential energy = mass x g x change in vertical heightgwoq ortenqma bns elsluolso of beay ed nso ezerli word bns exist bluorie atnabuta arit atramenvasen terw ns1912+10+boritem emsa edt eau taum zaslo aloriw ariTatripiew pniau boritem s 10 aqeta gniau bortiem & eau veriferijeriw ablaeb faum aslo od22slo ertt ni inebuta rose to tugtuo 1ewoq eril etapilzevni etnobute to zaslo Aanoitaeu(e)(2)height raised =m(Total for question = 4 marks) What is one way to describe elements? a survey of magazine subscribers showed that 45.6% rented a car during the past 12 months for business reasons, 54% rented a car during the past 12 months for personal reasons, and 32% rented a car during the past 12 months for both business and personal reasons. a container holds 2300 ounces fruit punch. A factory places the fruit punch into 32-ounce bottles. How man full Bottles of fruit punch can the factory produce? The diagram below shows the formation of the disaccharide maltose, which occurs when two molecules of glucose undergo a dehydration reaction:Image depicts two molecules of a glucose undergoing a dehydration reaction to form a molecule of maltose and water.a. Describe the composition of carbohydrates and explain why they are a necessary part of your diet.b. Describe how the maltose would be affected if the subcomponents were joined by 16 linkages instead. Predict how this might affect the function of the resulting molecule. Which symbol represents Islam?A) Cresent and starB) Cresent and full moon C) Star and full moonD) Cresent inside a star What is 7.008 x 10^6 in standard notation When a number is decreased by 20% of itself, the result is 336. What is the number? audio button question write an equation of the parabola in intercept form that passes through $(0,\ -18)$ with x-intercepts of $9$ and $1$ question write an equation of the parabola in intercept form that passes through $(0,\ -18)$ with x-intercepts of $9$ and $1$ Red blood cells, which carry oxygen gas to the cells (which they need for aerobic cellular respiration/ to make enough ATP to stay alive!) only live for 90 days and are constantly being made in the marrow of your long bones. This is an example of an important interaction between WHICH 2 SYSTEMS? A. digestive B. urinary C. circulatory D. skeletal E. muscular From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 7.90 m/s and angle of 24.0 below the horizontal. It strikes the ground 5.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0. Assume SI units. Do not substitute numerical values; use variables only.) xi = yi = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. vi, x = m/s vi, y = m/s (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y0 and t. Assume SI units.) x = m y = m (d) How far horizontally from the base of the building does the ball strike the ground? m (e) Find the height from which the ball was thrown. m (f) How long does it take the ball to reach a point 10.0 m below the level of launching? s a driver traveling at 72 km/h sees a chicken dash out onto the road and slams on the brakes. accelerating at -10 m/s2, the car stops just in time 35 m down the road. what was the driver's reaction time what does a closed circuit need to work?