Arti is mixing some orange paint for the class mural.
She mixes 3 squirts of yellow for every 2 squirts of red
and gets a beautiful orange color. Shannon put 9
squirts of yellow in her bowl. If she wants to get the
same orange color as Arti, how many squirts of red

Answer:

19

Step-by-step explanation:

is this a joke?

Option D. \(19.\)

Step-by-step explanation:

\(10 + 9 = 19.\)

Answer:

1/3(n+1)³

Step-by-step explanation:

1x2+2x3+3x4+4x5+...= 1²+1+2²+2+3²+3+...+n²+n+1=

=(1²+2²+3²+...+n²)+(1+2+3+...+n+1)=

=1/6n(n+1)(2n+1)+1/2(n+1)(1+n+1)=

=1/6(n+1)(n(2n+1)+3(n+2))=

=1/6(n+1)(2n²+4n+2)=

=1/6(n+1)*2(n+1)²=

=1/3(n+1)³

Two cans of paint are needed to cover the toy chest of 1866 in²

Area:

The area is the amount of space occupied by a two-dimensional object or figure. Area (A) of the rectangle is:

A = length * breadth.

Area of A = 13 * 16 = 208 in²

Area of B = 13 * 25 = 325 in²

Area of C = 25 * 16 = 400 in²

Area of D = 13 * 25 = 325 in²

Area of E = 13 * 16 = 208 in²

Area of F = 25 * 16 = 400 in²

1) Combined Area = 208 + 208 = 416 in²

2) Combined Area = 325 + 325 = 650 in²

3) Combined Area = 400 + 400 = 800 in²

4) Combined Area = 416 + 650 + 800 = 1866 in²

5) Amount of paint = 1866 in² / 933 in² = 2

Therefore, Two cans of paint are needed to cover the toy chest of 1866 in²

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The distance of point from the axis of rotation of the second hand is 8.2 cm.

Here,

A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2.

We have to find the distance of point from the axis of rotation of the second hand.

What is Rotation?

The circular motion of an object around the circle is called Rotation.

Now,

Let us consider the equation for the centripetal acceleration given by;

\(a_{c} = \frac{v^{2} }{r}\)

where, v is the velocity and r is the radius.

Now, the velocity can be expressed as;

\(v = wr = \frac{2\pi r}{T}\)

where, ω is the angular velocity and T is the period.

Solving for the radius using these equations given as;

\(a_{c} = \frac{v^{2} }{r}\\\\v^{2} = a_{c} r\\\\(\frac{2\pi r}{T} )^2 = a_{c} r\\\\\frac{4\pi ^{2}r^{2} }{T^{2} } = a_{c} r\\\\r = \frac{T^{2} a_{c} }{4\pi ^{2} } \\\\r = \frac{(60s)^2(0.09 cm/s^2)}{4\pi ^{2} } \\\\r = 8.2 cm\)

Hence, The distance of point from the axis of rotation of the second hand is 8.2 cm.

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Answer:

you divide 4 by those numbers then you keep going higher

Step-by-step explanation:

The finite abelian group Z36 x Z48 x Z60 can be expressed as Z2^6 x Z3^4 x Z5. The finite abelian group Z8 x Z9 x Z11 x Z12 can be expressed as Z2^3 x Z3^2 x Z11 x Z2^2 x Z3.

(a) The finite abelian group Z36 x Z48 x Z60 can be expressed as the direct product of its prime power factorizations. The prime factorization of 36 is 2^2 * 3^2, 48 is 2^4 * 3, and 60 is 2^2 * 3 * 5. Therefore, the group can be written as Z2^6 x Z3^4 x Z5.

(b) The finite abelian group Z8 x Z9 x Z11 x Z12 can be expressed as the direct product of its prime power factorizations. The prime factorization of 8 is 2^3, 9 is 3^2, 11 is a prime number, and 12 is 2^2 * 3. Therefore, the group can be written as Z2^3 x Z3^2 x Z11 x Z2^2 x Z3.

In both cases, the group is expressed as the direct product of cyclic groups of prime power orders. The order of the group is the product of the orders of the individual cyclic groups, and the structure of the group is determined by the prime factors and their powers.

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Answer:

\(12-t+6t^2\)

Step-by-step explanation:

Find the one with the highest exponent 2.

\(12-t+6t^2\) is the only one

Answer:

h(t) = 12 -t+6t^2

Step-by-step explanation:

A quadratic function has the highest power of the variable as 2 and must have a power of 2

h(t) has a power of 3

g(t) has a power of 3

k(t) has a power of 4

Answer:

y = 9

Step-by-step explanation:

When the line crosses y-axix,  x-co ordinate = 0

y = -4*0 + 9

y = 0 + 9

y = 9

The number of sales a promoter can expect if he spends $10,000 in advertising is $80,000 that is option B.

While going through a word problem like this, read it a few times to comprehend the context without focusing too much on the numbers..... Something along the lines of....

"If a promoter spends money on advertising, he will get more customers."

Short sentences should be used to summarise the content.

$10,000 is spent by the promoter.

"For every $100 spent, 20 new customers are drawn."

"Tickets are $40."

In one calculation this would be:

Using ratio of,

income/expenditure = 800/100 = income/10,000

= 10000 x 20 x 40 / 100

= 80,000

Therefore, the value of sale increase should be $80,000.

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The scale factor of the dilation in this problem is given as follows:

4.

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

Two equivalent segments in this problem are given as follows:

FG and F'G'.

The lengths are given as follows:

As parallelogram F'G' is the dilated parallelogram, the scale factor of the dilation is given as follows:

k = 8/2.

k = 4.

Meaning that the third option is the correct option.

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Answer:

All you have to do is add exponents when multiplying like monomials. So it's just 4^2

i hope this helps<3 :)

Answer:

4^7 x 4^-5

4^(7-5)

4^2

16

The total sales in dollars for n tickets is 6.50n if all tickets are sold for $6.50 each.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

At a movie theater, all tickets are sold for $6.50 each.

Let n be the total number of tickets sold.

Each ticket cost = $6.50

Total ticket cost = $6.50n

Or

The total sales in dollars for n tickets = 6.50n

The above expression is a linear expression in one variable and the variable is n.

Thus, the total sales in dollars for n tickets is 6.50n if all tickets are sold for $6.50 each.

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By applying basic concept of percentage we got that  if She gets successive discounts of 10% followed by 5% off on the boots. The purchase price of Wynona’s boots is 85.5%

Percentage is a number expressed as a fraction of 100.

Here given that Wynona buys some new boots that are priced $85. 79. She gets successive discounts of 10% followed by 5% off on the boots.

First she get 10% discount so she has to pay only 90% amount of original

Now she is getting 5% more off

She has to pay 95% of 90%

so  purchase price 0.95\(\times\) 90%

= 85.5%

By applying basic concept of percentage we got that  if She gets successive discounts of 10% followed by 5% off on the boots. The purchase price of Wynona’s boots is 85.5%

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Is the question complete??

The slope intercept form of the equation x + 6y - 2 is y = -x/6 + 1/3.

When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.

Here m is slope and c is constant.

The given equation is,

x + 6y = 2,

To find the slope intercept form of the equation,

Solve the equation,

6y = -x + 2

y  = -x/6 + 2/6

y = -x/6 + 1/3

The slope intercept form of the equation is y = -x/6 + 1/3.

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The maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD is 434 kips.

The maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD,

where

D = 100k,

L = 140k, L < 100psf,

Lr = 40k,

W = +160k or −100k, and

E = +180k or −125k is given below:

Design load = 1.2D + 1.6(Lr or S or R) + 0.5(L + Lr or R) + (W or E)

Here, D is the weight of dead load, L is the weight of live load, Lr is the weight of the roof live load, W is the weight of wind load and E is the weight of earthquake load.

Therefore, for the given loads,

D = 100k

L = 140k

Lr = 40k

W = +160k or −100k

E = +180k or −125k

Max load = 1.2D + 1.6(Lr) + 0.5(L + Lr) + W

= 1.2 (100) + 1.6 (40) + 0.5 (140 + 40) + 160

= 120 + 64 + 90 + 160

= 434 kips

Therefore, the maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD is 434 kips.

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Answer:

-16°C

Step-by-step explanation:

The lov temperatures for a week are :

-15°C, -12 , -10°C, -12°C, -18°C, -20°C, and -25°C.

We need to find the mean love temperature for the week.

Total no. of observations = 7

Mean = sum of observations/total no of observations

\(M=-\dfrac{15+12+10+12+18+20+25}{7}\\\\M=-16^{\circ} C\)

So, the mean temperature is -16°C.

Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

Answer:

Step-by-step explanation:

Quadrilaterals are four sided shapes. A parallelogram is a quadrilateral with equal and parallel opposite sides. The sum of the interior angles of any quadrilateral is always 360 degrees

Considering the question being asked, the correct option is

1) The sum of the interior angles will still be 360°. This will always remain the same no matter what type of quadrilateral is formed.

For the other options, some will remain the same and this depends on the type of quadrilateral that is formed.

Answer:

Its 1 and 3

Step-by-step explanation:

High-def television sets would probably be distributed using an intensive strategy. Therefore, option B. is correct.

Intensive distribution refers to a strategy where a product is made widely available through as many outlets as possible. This strategy is typically employed for products that have high demand, are low-cost, and require extensive market coverage. In the case of high-definition television sets, they are popular consumer electronics with a significant market demand.

To determine whether intensive distribution is suitable for high-def television sets, we consider the characteristics of the product. High-definition television sets are relatively low-cost compared to other options in the market, and they are in demand by a broad range of consumers. These factors suggest that an intensive distribution strategy would be appropriate for this product.

Based on the analysis, high-def television sets would most likely be distributed using an intensive strategy. This approach would ensure broad availability and accessibility for consumers, leveraging the product's popularity and fulfilling market demand. By making these television sets widely accessible through multiple outlets, manufacturers can reach a larger customer base, maximize sales potential, and effectively compete in the consumer electronics market.

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Answer:

The amount of deposit required is R37,999  for both

The percentage of purchase price for the required deposit is 20%

Therefore, deposit required=20%*R189,995

                                              =R37,999

The balance owed is the outstanding balance after payment of deposit plus the interest, bearing in mind that interest is computed using the simple interest approach

I=PRT

balance after payment of deposit=R189,995-R37,999

                                                       =R151,996

R=13.5% per year

T=48 months and 54 months

Interest on 48 month option=151,996*13.5%*48/12

                                              = R82,077.84

Interest on 54 month option=151,996*13.5%*54/12

                                              = R 92,337.57

The total payment without the initial deposit is the outstanding balance after payment of deposit plus the interest

Total payment for 48 month option=R151,996+R 92,337.57

                                                          =R  244,333.57

Total payment for 54 month option=R151,996+R82,077.84

                                                          =R 234,073.84

                                              Hope it helped!

Answer:

15.05

Step-by-step explanation:

:) :0

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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The amount of the car which is to be paid is $4680.

Cost:

The value of money that has been used up to produce something or deliver a service, and hence is not available for use anymore.

Here we have to find the original price of the car.

It is given that 65% of the original price of $7200 is.

Let x be the price of the car he has to pay.

So we have:

x = 7200× 65%

x =( 7200 × 65)/100

x = 4680

Therefore the amount to be paid is $4680.

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Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

Answer:

Step-by-step explanation:

The standard form of writing a scientific notation is expressed as \(a.b*10^n\) where a, b and n are integers. Note that a, b and n cannot be a fraction. When writing in scientific notation, the value of 'a' must not be equal to zero and it must not be a 'two digits values' but just 'a digit value'.

Based on the above conclusion, the following numbers are correctly written in scientific notation.

1×10⁻⁴ and 9.8×10⁵

- The expression 10.8×10 −3 is not correctly written because the value of a on comparison is a two digits number i.e 10.

- Also, 0.54×10^6 is not correctly written because a is zero on comparison

- 7.6×10 2.5 is not correctly written because the power is a decimal number i.e 2.5. We must only have an integer as the degree.

A statistical method that is commonly used in the process of creating a clinical prediction rule is: Regression analysis to identify the most important predictive factors. The answer is: 3)

When creating a clinical prediction rule, regression analysis is commonly used to identify the most important predictive factors. Regression analysis helps determine the relationship between a set of independent variables (predictors) and a dependent variable (outcome).

By analyzing the coefficients and significance levels of the predictors, regression analysis can identify which factors have the strongest association with the outcome and thus should be included in the prediction rule.

Options 1) Analysis of variance, 2) Frequencies, and 4) Calculation of effect size are not specific methods typically used in the process of creating a clinical prediction rule.

Analysis of variance is used to test for differences between groups, frequencies determine prevalence, and effect size calculates the magnitude of an observed effect. While these methods may be relevant in other statistical analyses, they are not commonly used in the creation of clinical prediction rules.

Hence, the correct option is: 3)

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To solve this problem, we need to use the concept of percentage decrease. After applying the concept the answer we obtained was GHC \(400\).

We know that the price of the article decreased by \(23\)%, which means that the final price is \(77\)% (\(100\)%\(-23\)%) of the original price. Let's use this information to set up an equation:
\(0.77x = 308\)
Here, \(x\) represents the original price. We can solve \(x\) by dividing both sides of the equation by \(0.77\):

\(\frac{0.77x}{0.77}=\frac{308}{0.77}\)
\(x = 400\)
Therefore, the original price of the article was GHC \(400\).

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In a case whereby Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles Adam traveled a distance of about 335 miles.

The distance traveled in a unit of time is called speed. It refers to a thing's rate of movement. The scalar quantity known as speed is the velocity vector's magnitude. It has no clear direction.

Speed = Distance/ time

speed =72.4 miles

time=4.62 hours

Distance =speed * time

= 72.4 *4.62

Distance = 334.488 miles

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complete question;

Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles. Rounding decimals to the nearest whole number, Adam traveled a distance of about miles.