Answer: About $5.49
Step-by-step explanation:
Answer:
5.4875
Step-by-step explanation:
4 pizzas = 21.95
divide 21.95 by 4
5.4875 is your answer
Complete the synthetic division problem below.
What is the quotient in polynomial form?
Answer:
D
Step-by-step explanation:
2 | 1 5 - 14
2 14
-----------------------
1 7 0 ← remainder = 0
Quotient is 1x + 7 = x + 7 → D
6x + 1 - 5x = 2
What is x=

Answer:
X=1
Step-by-step explanation:
You want to start by collecting like terms (6x and 5x) which creates:
x+1=2
Move the constant to the right hand side and change the sign:
x=2-1
Calculate
x=1
Answer:
x=1
Step-by-step explanation:
Let's solve your equation step-by-step.
6x+1−5x=2
Step 1: Simplify both sides of the equation.
6x+1−5x=2
6x+1+−5x=2
(6x+−5x)+(1)=2(Combine Like Terms)
x+1=2
x+1=2
Step 2: Subtract 1 from both sides.
x+1−1=2−1
x=1
Answer:
x=1
Write 9x100,000+2x10,000+4x1,000+9x100+3x10 in base-ten numeral form and number name form
The expression 9x100,000+2x10,000+4x1,000+9x100+3x10 evaluates to 965,930 in base-ten numeral form and "nine hundred sixty-five thousand, nine hundred thirty" in number name form.
To find the value of the expression in base-ten numeral form, we need to perform the multiplication and addition operations as given:
9x100,000 + 2x10,000 + 4x1,000 + 9x100 + 3x10
Multiplying each number and adding the products, we get:
(9 x 100,000) + (2 x 10,000) + (4 x 1,000) + (9 x 100) + (3 x 10)
= 900,000 + 20,000 + 4,000 + 900 + 30
= 965,930
Therefore, the value of the expression in base-ten numeral form is 965,930.
In number name form, we can express the result as "nine hundred sixty-five thousand, nine hundred thirty."
The expression 9x100,000+2x10,000+4x1,000+9x100+3x10 evaluates to 965,930 in base-ten numeral form and "nine hundred sixty-five thousand, nine hundred thirty" in number name form. By performing the multiplication and addition operations correctly, we obtained the final value.
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how is scientific notation used in the real world
Answer:
Scientific notation is used to write very large or very small numbers using less digits. ... See how scientists use this notation to describe astronomical distances, such as the distance between planets, or microscopic distances, such as the length of a blood cell.
Step-by-step explanation:
These are just a few examples of how scientific notation is used in the real world. Its versatility allows scientists, engineers, mathematicians, and professionals from various disciplines to work with numbers efficiently and communicate effectively across different scales.
Scientific notation, also known as exponential notation, is widely used in various fields to express very large or very small numbers in a more convenient and concise format. Here are some examples of how scientific notation is used in the real world:
Astronomy: Scientific notation is essential in astronomy to represent the vast distances between celestial objects. For instance, the distance between the Earth and the Sun is approximately 93 million miles or 1.496 × 10²kilometers.
Physics: Scientists often use scientific notation to express the values of physical constants, such as the speed of light (2.998 × 10^8 meters per second) or the Planck constant (6.62607015 × 10^-34 joule-seconds).
Chemistry: Scientific notation is commonly used in chemistry to express the magnitude of extremely small or large quantities of substances. For example, Avogadro's number, which represents the number of atoms or molecules in one mole of a substance, is approximately 6.022 × 10².
Medicine: In medical and biological sciences, scientific notation is employed to represent quantities such as cell counts, enzyme activity, or concentrations of substances. It allows scientists and healthcare professionals to work with numbers that span a wide range, from tiny quantities to large-scale measurements.
Finance and Economics: Scientific notation is useful in financial and economic calculations, especially when dealing with large numbers such as national debt, gross domestic product (GDP), or company revenues. It simplifies the representation and manipulation of these values.
Engineering: In various engineering disciplines, scientific notation is used to express measurements and quantities, such as distances, weights, electrical currents, and voltages. It enables engineers to work with both very large and very small values encountered in their calculations and designs.
Computer Science: Scientific notation is employed in computer science to represent large or small numbers in computer programming. It is particularly useful when dealing with values that exceed the capacity of standard data types or when expressing very small probabilities or error values.
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A company sells cases of Mountain Dew. The revenue generated by selling x cases is described as LaTeX: \text{R(x)=50x} . The cost to produce the cases is described by the function LaTeX: \text{C(x)=25x+100.} The company’s profits for selling the cases of Mountain Dew is the difference between the revenue and cost amounts. Which function describes P, the profit for selling x cases?
A company sells cases of Mountain Dew. The revenue generated by selling x cases is described as LaTeX: \text{R(x)=50x} . The cost to produce the cases is described by the function LaTeX: \text{C(x)=25x+100.} The company’s profits for selling the cases of Mountain Dew is the difference between the revenue and cost amounts. Which function describes P, the profit for selling x cases?
LaTeX: \text{P(x)=25x+100}
LaTeX: \text{P(x)=75x-100}
LaTeX: \text{P(x)=25x-100}
LaTeX: \text{P(x)=75x+100}
Answer:the person below is correct
Step-by-step explanation:
in 2000 the median size of a new single family house was 2057 square feet in 2010 the median size was 2169 square feet.
What is the average rate of change in the median home size over this time period?
a.) 112 sq per year
b.) 89 sq per year
c.) 8.9 sq per year
d.) 11.2 sq per year
Answer:
d.) 11.2 square feet per yearStep-by-step explanation:
The difference in sizes:
2169 - 2057 = 112 square feet
It is 10 years from 2000 to 2010
112:10 = 11.2
please please help I give you brainliest
Answer:
\(-1\) - 6 + 3
Step-by-step explanation:
hope this helps
Answer:
i think it’s -4 I’m not sure tho..
Step-by-step explanation:
Proportional relationships!!
“A car travels 52 miles per hour.”
You have hours 1,2,5,8 what are the miles used!!
Step-By-Step Explanation:
1hour = 52×1= 52miles
2hours = 52×2= 104miles
5hours = 52×5= 260miles
8hours = 52×8= 416miles
If this helped, please consider picking this answer as the Brainliest Answer. Thank you!
How are rays and angles related?
ieiejeieieiweisns xx xnsiwiwksniz
Name the same side interior angle with angle 6
Answer:
try 5 or 3, half of 6 is 3 may be the same angle
What is the probability that a randomly chosen young adult has at least a high school education? which rule of probability did you use to find the answer?
The probability that a randomly chosen young adult has at least a high school education can be found using the rule of probability called the "complement rule".
To find the answer, we need to subtract the probability that a randomly chosen young adult does not have at least a high school education from 1. In other words:
Probability of having at least a high school education = 1 - Probability of not having at least a high school education.
By using this rule, we can calculate the probability.
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20. There is a sale on shoes of 15% off. My wife buys three pairs of
shoes, one for $120, one for $95, and one for $105. What is her total
sale price for all three pairs?
Answer:
48$
Step-by-step explanation:
120×15=1,800
1,800÷100=18$
95×15=1,425
1,425÷100=14.25$
105×15=1,575
1,575÷100=15.75$
18+14.25+15.75=48
The perimeter of a train ticket is 60 centimeters. It is 17 centimeters long. How tall is it?
If the perimeter of the train ticket is 60 centimeters and it's length is 17 centimeter long it's height is 13 centimeter
What is perimeter of a rectangle?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
To find the perimeter of a rectangle we add all this sides together. This means that the perimeter of a rectangle is given as ;
P = l+l+w+w
P= 2(l+w)
60 = 2( 17+w)
60 = 2( 17+w)
17+w= 60/2
17+ w = 30
w = 30-17
w = 13cm
Therefore the height of the train ticket is 13cm
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Evaluate the function.
F(x) = -x^2+9x-17
Find F (-5)
⇒F(-5) just simply means that in the function F in the place of x you have to plug in -5 and simplify if possible.
\(f(-5)= -(-5)^{2} +9(-5)-17\\f(-5)=-(25)-45-17\\f(-5)=-25-45-17\\f(-5)=-70-17\\f(-5)=-87\)
the answer to f(-5) is -87
GOODLUCK!!
3n + 75 = 50 + 2n what does the n equalin the equation
Answer:
n= -25
Step-by-step explanation:
Answer:
-25
Step-by-step explanation:
Move 2n to the other side to subtract it 3n-2n=n and move 75 to the other side to balance the equation 50-75=-25 so n=-25
what is the answer to the problem x2 -8x+4=0
The solutions to the equation is 4 ± 2√3
How to solve the equationThe equation x^2 - 8x + 4 = 0 is a quadratic equation.
To find the solutions, we can use the quadratic formula or factor the equation.
Using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
where a = 1, b = -8, c = 4
Plugging in the values:
x = (-(-8) ± √((-8)^2 - 4 * 1 * 4)) / 2 * 1
x = (8 ± √(64 - 16)) / 2
x = (8 ± √(48)) / 2
x = (8 ± 4√(3)) / 2
Divide
x = 4 ± 2√3
So the solutions to the equation are 4 ± 2√3
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Using Cauchy-Riemann Equations, determine if any of the following functions are differentiable and if so also determinef'(z). a) f(z) = 3z2 + 5z +i-1 2+1 22 +1 b) g(z) = z+1/2z+1
c) F(z) = z/z+i
d) h(2) = z2 – 4z + 2
(a) The Cauchy-Riemann equations are satisfied, i.e., ∂u/∂x = ∂v/∂y and ∂u/∂y = -∂v/∂x, then the function is differentiable. (b)the partial derivatives u(x, y) and v(x, y) and check if the Cauchy-Riemann equations are satisfied. If they are satisfied, the function is differentiable (c) the function is differentiable (d) if h(z) is differentiable at z = 2.
a) For the function f(z) = 3z² + 5z + i - 1, we can compute the partial derivatives with respect to x and y, denoted by u(x, y) and v(x, y), respectively. If the Cauchy-Riemann equations are satisfied, i.e., ∂u/∂x = ∂v/∂y and ∂u/∂y = -∂v/∂x, then the function is differentiable. We can further determine f'(z) by finding the derivative of f(z) with respect to z.
b) For the function g(z) = z + 1 / (2z + 1), we follow the same process of computing the partial derivatives u(x, y) and v(x, y) and check if the Cauchy-Riemann equations are satisfied. If they are satisfied, the function is differentiable, and we can find g'(z) by taking the derivative of g(z) with respect to z.
c) For the function F(z) = z / (z + i), we apply the Cauchy-Riemann equations and check if they hold. If they do, the function is differentiable, and we can calculate F'(z) by finding the derivative of F(z) with respect to z.
d) For the function h(z) = z² - 4z + 2, we are given a specific value of z, namely z = 2. To determine if h(z) is differentiable at z = 2, we need to evaluate the derivative at that point, which is h'(2).
By applying the Cauchy-Riemann equations and calculating the derivatives accordingly, we can determine the differentiability and find the derivatives (if they exist) for each of the given functions.
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The list below shows the number of train tickets sold each
week during an eight-week period.
2945, 4572, 3560, 3359, 4089, 2841, 3283,
4266
What is the range of the data?
Answer: The range is 1731
Step-by-step explanation: lowest number 4572- 2841 highest
Which is equivalent to V92?
vos
V*
Answer:
second choice
Step-by-step explanation:
9^(1/4*1/2*x)=9^(1/8x)
option 2 is correct one
PLZ HELP ME WITH THIS!!!!!!!!!!!!!!!!!
Answer: 2
Step-by-step explanation:
Negatives cancel out positives
Which linear equation represents a line parallel to the graph of y=7x/4
Answer: y=-4x/7
Step-by-step explanation:
opposite reciprocal
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a.
10
d.
4 5
b. 4 5
I
s 100
10
4
8
--
8 10
415
이
00
I
C. 10 85
815
I
10
I
2/5
I
211
552
415
Mark this and return
Next
Submit
The ratio of corresponding sides for the given similar triangles is 2/5.
In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:
a. 10
This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.
b. 4/5
This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.
To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.
Dividing 4 and 5 by 1, we get:
4 ÷ 1 = 4
5 ÷ 1 = 5
Therefore, the simplified ratio is 4/5.
c. 10/85
This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.
Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.
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the cost of the two chairs is $1,800. After a month, cost of each chair and each table increased by 20%. The office again bought 6 chairs and 2 tables at $4,800 Calculate the new cost of a chair and a table
Given statement solution is :- The new cost of a table is:
New cost of a table = T + (T * 20%)
New cost of a table = T + (T * 0.2)
New cost of a table = 1.2T
The new cost of a chair is:
A new chair would cost $900 plus ($900 * 20%)
A chair would cost $900 new plus ($900 * 0.2)
A new chair would cost $900 plus $180.
New cost of a chair = $1,080
Let's assume that a chair originally cost C and a table originally cost T.
The price of two chairs, based on the information provided, is $1,800. So we can set up the following equation:
2C = $1,800
When we multiply the two sides of the equation by 2, we get:
C = $1,800 / 2
C = $900
This indicates that a chair once cost $900.
After a month, the price of every chair and every table has now gone up by 20%. This means the new cost of a chair is 120% of the original cost, and the new cost of a table is also 120% of the original cost.
The new cost of a chair is:
A new chair would cost $900 plus ($900 * 20%)
A chair would cost $900 new plus ($900 * 0.2)
A new chair would cost $900 plus $180.
New cost of a chair = $1,080
Similarly, the new cost of a table is:
New cost of a table = T + (T * 20%)
New cost of a table = T + (T * 0.2)
New cost of a table = 1.2T
According to the given information, the office bought 6 chairs and 2 tables at $4,800. Using the updated costs, we can construct the following equation:
(6 * $1,080) + (2 * 1.2T) = $4,800
Simplifying the equation, we have:
6,480 + 2.4T = 4,800
Subtracting 2.4T from both sides, we get:
6,480 = 4,800 - 2.4T
Subtracting 4,800 from both sides, we have:
1,680 = -2.4T
Dividing both sides by -2.4, we find:
T = 1,680 / -2.4
T ≈ -$700
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The table shows the thickness of four items. Place the items in order from the greatest thickness to the least thickness.
a) 60 square meters in square centimeters.
Answer:
600,000 cm²
Step-by-step explanation:
We know the conversion from meters to centimeters to be
1 m = 100 cm.
We need the conversion factor from square meters to square centimeters.
Start with
1 m = 100 cm
Square both sides.
(1 m)² = (100 cm)²
1 m² = 10,000 cm²
Now that we have the correct conversion factor from m² to cm², we can do the conversion of 60 m² into cm².
60 m² × (10,000 cm²)/(1 m²) = 600,000 cm²
What is the answer to this question?
Answer:
A
Step-by-step explanation:
what is the solution to the equation 1/2a=7
\(\huge\text{Hey there!}\)
\(\large\boxed{\mathsf{\dfrac{1}{2}a = 7}}\\\\\large\text{MULTIPLY 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{2\times\dfrac{1}{2}a= 2\times7}}\\\\\large\text{CANCEL out: }\rm{2\times\dfrac{1}{2}}\large\text{ because it gives you 1.}\\\large\text{KEEP: }\rm{2\times7}\large\text{ because it helps you get your a-value}\\\\\large\boxed{\mathsf{a = 2\times7}}\\\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{a = 14}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{a = 14}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
What is the rate of change of (-3,7) and (5,-9)
Answer: sorry wish I could help
Step-by-step explanation:
The access code to a houses security system consists of 6 digits. How many different codes are available if each digit can be repeated? Please show work.
Answer:
1,000,000
Step-by-step explanation: Since there are 10 possible digits, we know that there is a 1/10 chance for any possible digit in any slot. So, since there are 6 slots we can do 1/10^6, or 1 in 1 million.
So, 720 ways are available if each digit can be repeated
Combination:A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.
The access code to a house security system consists of 6 digits.
\(6!=6\times 5 \times 4\times 3\times 2\times 1\\6!=720\)
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Suppose that we randomly sample 122 high school students to investigate an association between involvement in extracurricular activities and grades. We use the data to conduct a chi-square test of independence at the 5% level. In this results table, the observed count appears above the expected count in each cell. The expected counts are in parenthesis. What can we conclude? Good grades Poor grades Total Extracurricular activity What can we conclude? 16 11 (11.016) 5 (4.9836) Low a) There is a statistically significant association between involvement in extracurricular activities and grades. 93 70 (64.033) 23 (28.967) Moderate 13 10 (4,0492) b) There is not a statistically significant association between involvement in extracurricular activities and grades. 3 (8.9508) 84 High 38 122 Total c) Involvement in extracurricular activities helps students to perform better academically. d) Nothing, because the conditions for use of the chi-square test are not met. Statistic DF Value P-value Chi-square 2 14.487 0.0007
The chi-square test statistic has a p-value of 0.0007, which is less than the significance level of 0.05, indicating that we have sufficient evidence to reject the null hypothesis and accept the alternative hypothesis that there is a statistically significant relationship between grades and involvement in extracurricular activities and grades.
Chi-square test of independence is used to check whether there is a significant association between two or more categorical variables. This test is carried out using a contingency table which presents data for two or more categorical variables in the form of frequency counts. In our case, we are checking whether there is an association between grades and extracurricular activities.To carry out the chi-square test of independence, we start by stating the null and alternative hypotheses. The null hypothesis states that there is no relationship between the two variables, whereas the alternative hypothesis states that there is a relationship between the two variables.The next step is to determine the expected frequencies for each cell in the contingency table. Expected frequencies are calculated under the assumption that there is no association between the two variables.
Then, we calculate the chi-square test statistic, which measures how much the observed frequencies deviate from the expected frequencies.Finally, we compare the calculated chi-square value with the critical value from the chi-square distribution. If the calculated chi-square value is greater than the critical value, we reject the null hypothesis and accept the alternative hypothesis. On the other hand, if the calculated chi-square value is less than the critical value, we fail to reject the null hypothesis.The results of the chi-square test are presented in the table given in the question.
The p-value of the test is 0.0007, which is less than the significance level of 0.05. Therefore, we have sufficient evidence to reject the null hypothesis and accept the alternative hypothesis that there is a statistically significant relationship between grades and involvement in extracurricular activities. The observed count appears above the expected count in each cell of the table. Thus, the conclusion is that there is a statistically significant association between involvement in extracurricular activities and grades.
Therefore, the chi-square test conducted on the given data concludes that there is a statistically significant association between involvement in extracurricular activities and grades.
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