Answer:
2(4)-5=3
we know that C is going to be multiplied by 2 and the value of C=4
so 2*4 = 2(4)
2(4)-5
2*4=8
8-5=3
So, the answer is 3
Bobby drove 10 miles, and
his car used up 5 gallons of
gas. How many miles can
he drive with 16 gallons of
gas?
Answer:
32
Step-by-step explanation:
10/5 = 2 you go 2 miles per gallon of gas
there for 16*2= 32 miles on 16 gallons of gas
Please answer both parts ASAP!
a. Diego's mistake was that he multiplied the exponents rather than adding them.
b. His answer should be 2^5 which is 32.
How to explain the exponentIn mathematics, an exponent refers to the number of times a base number is multiplied by itself. It is a way of expressing repeated multiplication. The exponent is usually written as a superscript to the right of the base number.
For example, in the expression 2³, 2 is the base and 3 is the exponent. This means that 2 is multiplied by itself three times: 2 × 2 × 2 = 8. So, 2³ is equal to 8.
Diego's mistake was that he multiplied the exponents rather than adding them. The answer should be 32.
Learn more about exponents on
https://brainly.com/question/13669161
#SPJ1
what is the greatest possible product of a four digit number and a three digit number obtained from seven distinct digits
the greatest possible product of a four-digit number and a three-digit number obtained from seven distinct digits is 2,463,534.
To find the greatest possible product of a four-digit number and a three-digit number obtained from seven distinct digits, we can start by considering the largest possible values for each digit.
Since we need to use seven distinct digits, let's assume we have the digits 1, 2, 3, 4, 5, 6, and 7 available.
To maximize the product, we want to use the largest digits in the higher place values and the smallest digits in the lower place values.
For the four-digit number, we can arrange the digits in descending order: 7, 6, 5, 4.
For the three-digit number, we can arrange the digits in descending order: 3, 2, 1.
Now, we multiply these two numbers to find the greatest possible product:
7,654 * 321 = 2,463,534
To know more about number visit:
brainly.com/question/3589540
#SPJ11
Instead of the usual dice, suppose we have a bag of 12-sided dice, each with sides numbered 1 through 12. Assume the dice are fair. if we dump out a bag of 50 such dice and add up the numbers they land on, what is the probability the total will be at least 360? Estimate the probability using a normal approximation with a continuity correction. Select the nearest percentage.a. 43%b. 74%c. 3%d. 59%e. 85%e. 16%f. 28%g. 8%
The estimated probability of the total sum being at least 360 is approximately 8%.
To estimate the probability using a normal approximation with a continuity correction, we first need to find the mean and standard deviation of the sum of the numbers on the 50 dice.
For a single 12-sided die, the mean is (1+2+...+12)/12 = 6.5. For 50 dice, the mean is 50 × 6.5 = 325. The variance for one die is [(1-6.5)²+(2-6.5)²+...+(12-6.5)²]/12 = 11.92. For 50 dice, the variance is 50 × 11.92 = 596, and the standard deviation is √596 ≈ 24.4.
Now, we'll use the normal approximation with a continuity correction to estimate the probability that the sum of the numbers is at least 360. First, find the z-score:
z = (X - μ + 0.5) / σ = (360 - 325 + 0.5) / 24.4 ≈ 1.42
Using a z-table or calculator, the probability of obtaining a z-score greater than 1.42 is approximately 0.0778 or 7.78%. The closest percentage in the options provided is 8%, which corresponds to option g. Therefore, the estimated probability of the total sum being at least 360 is approximately 8%.
Learn more about probability here:
https://brainly.com/question/12629667
#SPJ11
The ratio of mystery books to fantasy books in the library is 7:9.
Fill in the missing values to show the possible number of
mystery and fantasy books.
Mystery Books Fantasy Books
21
Select Answer -
63
Select Answer -
27
54
Select Answer
117
Answer:
42
81
91
Step-by-step explanation:
m = mystery
f = fantasy
\(\frac{m}{f}\) = \(\frac{m}{f}\)
Compare the ratio with the actual numbers. Solve for the missing number
\(\frac{7}{9}\) = \(\frac{m}{54}\) you need to multiply 9 by 6 to get 54 so multiply 7 x 6 to get 42.
\(\frac{7}{9}\) = \(\frac{63}{f}\) Multiply 7 x 9 to get 63,so multiply 9 by 9 to get 81.
\(\frac{7}{9}\) = \(\frac{m}{117}\) 9 x 13 is 117, so multiply 7 by 13 to get 91.
A box in the shape of a rectangular prism has a length of 358 inches in width of two 1/2 inches and a height of 4 inches. What is the volume of the box?
The volume of the box in shape of a rectangular prism is solved to be
716 inches³
What is a rectangular prism?Three-dimensional object with six faces is called a rectangular prism (two at the top and bottom and four are lateral faces).
The prism has rectangular-shaped faces on each side. As a result, there are three sets of matching faces in this picture. Rectangular prisms are sometimes known as cuboids due to their shape.
In the given problem the formula used for volume of prism is
= length * width * height
= 358 * 1/2 * 4
= 716 inches³
The prism has a volume of 716 inches³
Learn more about prism at:
https://brainly.com/question/23963432
#SPJ1
The volume of the rectangular prism with a length of 358 inches, width of 1/2 inches and a height of 4 inches is 716 in³.
What is the volume of the rectangular prism?The volume of a rectangular prism is expressed as;
V = w × h × l
Where w is width, h is height and l is length.
Given that;
Length l = 358 inWidth w = 1/2 inHeight h = 4 inPlug the given values into the above formula and simplify.
V = w × h × l
V = 1/2 in × 4 in × 358 in
V = 716 in³
Therefore, the volume of the box is 716 in³.
Learn more about volume of prism here: https://brainly.com/question/23963432
#SPJ1
helloo, I need help!
Answer:
∠1 = 126°
∠4 = 54°
∠7 = 126°
Step-by-step explanation:
Since line p and line q are parallel lines we can use the angle relations to find the missing angle measures.
∠1 and ∠3 are alternate and congruent, so their measures are equal and 126° each.
∠4 and ∠3 are making a straight line and are supplementary angles, so their sum is adding up to 180°.
To find ∠4 we need to subtract 126 from 180:
180 - 126 = 54°
∠7 and ∠3 are corresponding angles and so they are equal in measurement and 126° each.
a 6-sided die is rolled three times. what is the probability that a 5 will be rolled all three times?
The probability of rolling a 5 on a 6-sided die three times in a row is 1/216.
To find the probability of rolling a 5 all three times with a 6-sided die, we need to determine the probability of rolling a 5 once and then raise that to the power of 3.
Step 1: Find the probability of rolling a 5 on a single roll. There is 1 favorable outcome (rolling a 5) and 6 possible outcomes (the numbers 1 through 6). So, the probability is 1/6.
Step 2: Calculate the probability of rolling a 5 three times in a row. Since the rolls are independent events, we can multiply the probabilities together: (1/6) * (1/6) * (1/6) = 1/216.
When rolling a 6-sided die three times, the probability of rolling a 5 all three times is 1/216. This is because the probability of rolling a 5 once is 1/6, and the events are independent, so we multiply the probabilities together.
The probability of rolling a 5 on a 6-sided die three times in a row is 1/216.
To know more about probability visit:
brainly.com/question/32117953
#SPJ11
Graph the function
f(x) = -log - 6. You must plot the
asymptote and any two points with whole number coordinates.
Answer:
To graph a rational function, you find the asymptotes and the intercepts, plot a few points, and then ... graphing showing vertical asymptote at x = 1 ... Next, I'll find any x- or y- intercepts.
aresearcher plans to test the effectiveness of a new cyberbullying reporting app. she randomly selects one eighth-grade class to receive training on how to install and use the app. the students are assured the reporting is anonymous. the other eighth-grade class is not told about the app. the researcher then measures the rates of cyberbullying in both classes over the next 3 months. this study utilizes which type of research design?
The type of research design used in the study is of:
Quantitative research design.
What are the types of research design?There are two types of research design, and they are classified as follows:
Quantitative research design: The aim of quantitative research design it to find the answers to the questions regarding who, what, where, how, and when through the course of research. Additionally, the numeric outcome of the quantitative research is easy to represent in the form of statistics, graphs, charts, and numbers.Qualitative research design: Qualitative research design aims at answering just two questions, how and why, using open-ended questions and helps the subjects express their views clearly. One application of qualitative research design is for businesses that aim to understand customers’ behaviour and requirements.In this problem, the rates of cyberbullying will be analyzed, which is a numeric measure, hence it is a quantitative research design.
More can be learned about the types of research design at https://brainly.com/question/11102084
#SPJ1
11. On a basketball court, the free throw lane is marked off geometrically. This area of the court is called the
key and is topped by a semicircle that has a diameter of 12 feet. Find the arc length of the semicircle to the
nearest foot. Find the area of the semicircle to the nearest square foot.
The area of the semicircle is approximately 57 square feet.
The arc length of the semicircle can be found using the formula:
arc length = (θ/360) × 2πr
where θ is the angle in degrees, r is the radius, and π is approximately 3.14.
In this case, the diameter of the semicircle is 12 feet, so the radius is half of that, or 6 feet. The angle of the semicircle is 180 degrees, since it is a semicircle. Plugging these values into the formula, we get:
arc length = (180/360) × 2π(6) ≈ 18.85 feet
Therefore, the arc length of the semicircle is approximately 19 feet.
To find the area of the semicircle, we can use the formula:
area = (πr^2)/2
Plugging in the value of the radius from before, we get:
area = (π(6^2))/2 ≈ 56.55 square feet
Therefore, the area of the semicircle is approximately 57 square feet.
Learn more about area of the semicircle,
https://brainly.com/question/15822332
#SPJ11
Rick bought a photo printer and supplies for $186.90, which will allow him to print photos for $0.29 each. a photo store charges $0.55 to print each photo. how many photos must rick print before his total cost is less than getting prints made at the photo store? more than 718 photos. less than 718 photos. more than 900 photos. not enough information to solve.
The 718.85 < x inequality says that : He must print 719 photos or more.
Inequality:
In mathematics, an inequality is a relationship in which two numbers or other mathematical expressions compare unequal. Most commonly used to compare two numbers on the number line based on size. There are several notations used to represent various types of inequalities.
The notation a < b means a is less than b.The notation a > b means that a is greater than b.Given,
In the question:
Rick bought a photo printer and supplies for $186. 90, which will allow him to print photos for $0. 29 each.
and, A photo store charges $0. 55 to print each photo.
To find the how many photos must Rick print before his total cost is less than getting prints made at the photo store?
Now,
According to the question:
Let the photos be x
Rick bought a photo printer be $186.90
A photo store charges $0. 55 to print each photo.
The question is based on inequality:
Photo Printer < photo store
1.86.90 + 0.29x < 0.55x
- 0.29x - 0.29x
______________________
1.86.90 < 0.26x
Divide by 0.26x on both sides = 718.85 < x
Hence, The 718.85 < x inequality says that : He must print 719 photos or more.
Learn more about inequality:
https://brainly.com/question/30231190
#SPJ4
(4 x 6) +9. pls help me
Step-by-step explanation:
\((4 \times 6) + 9\)
Follow PEMDAS
\(24 + 9 \\ = 33\)
Answer:
33
Step-by-step explanation:
\((4x6)+9?\)
Ill take it as
\((4*6)+9\)
\(4*6=24\\24+9=33\)
7. Half of 18
please someone help me
Answer:
2
Step-by-step explanation:
What is a coterminal angle of 22 times pi over 3 question mark
\(\cfrac{22\pi }{3}\implies \cfrac{(3)(7)\pi +\pi }{3}\implies 7\pi +\cfrac{\pi }{3}\implies 6\pi +\pi +\cfrac{\pi }{3}\)
so the angle is really 3 revolutions plus another π plus a little bit more. Check the picture below.
hi help pls n thanks
The required domain is x ≥ -4.So option(4) is correct.
What is domain?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
According to question:From the graph, we can see that curve is starting from -4 to infinity in x direction.
By baby curve method
x ≥ -4
Thus, required domain is x ≥ -4.So option(4) is correct.
To know more about Domain visit:
brainly.com/question/28135761
#SPJ1
"Same-sex marriage was legalized across Canada by the Civil Marriage Act enacted in 2005. Is this supported by a majority, or a minority, of the Canadian population? In an Ipsos Global poll conducted for t{Reuter News} in May 2013 of 1000 Canadians that asked whether legalization should stand or be repealed 63% supported legalization. Let pi denote the population proportion of Canadian adults who support legalization. For testing H0: pi = 0.50 against Ha: pi not = 0.50
a) Find the standard error and interpret.
b) Find the test statistic and interpret.
c) find the P-value, and interpret in context."
In 2013, an Ipsos Global poll conducted for Reuters News found that 63% of 1,000 Canadians supported the legalization of same-sex marriage, who support legalization is 50%, and the alternative hypothesis (Ha: pi not = 0.50) that suggests the population proportion is different from 50%.
a) The standard error measures the variability or uncertainty of the sample proportion compared to the true population proportion. It can be calculated as the square root of (pi * (1 - pi)) divided by the sample size. In this case, the standard error would be computed to estimate the proportion of Canadians who support same-sex marriage.
b) To test the hypothesis, we need to calculate the test statistic. The test statistic for this scenario is the z-score, which is calculated by subtracting the hypothesized population proportion from the sample proportion and dividing it by the standard error. This provides a measure of how many standard errors the observed proportion differs from the hypothesized proportion.
c) By determining the test statistic, we can find the associated p-value. The p-value represents the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true. If the p-value is less than the significance level (e.g., 0.05), we can reject the null hypothesis. In this context, the p-value would indicate the strength of evidence against the claim that the population proportion is 50%.
Learn more about proportion here:
https://brainly.com/question/31548894
#SPJ11
factorise 2x^2 - 9x -5
Answer:
(x-5)(2x+1)
Step-by-step explanation:
Its called google XD
Alana is on holiday in london and pairs she is going to book a hotel in paris
she knows that 1 gbp is 1. 2 euros
Alana, who is on holiday in London, plans to book a hotel in Paris while being aware of the exchange rate of 1 GBP to 1.2 euros.
While Alana is on holiday in London, she plans to book a hotel in Paris. As she begins her search for accommodations, she is aware of the current exchange rate between British pounds (GBP) and euros.
Knowing that 1 GBP is equivalent to 1.2 euros, Alana considers the currency conversion implications in her decision-making process.
The exchange rate plays a crucial role in determining the cost of her stay in Paris.
Alana must carefully assess the rates offered by hotels in euros and convert them into GBP to accurately compare prices with her home currency.
This way, she can effectively manage her budget and make an informed choice.
Additionally, Alana should consider any potential fees associated with the currency conversion process.
Some banks or payment platforms may charge a conversion fee when converting GBP to euros, which could affect her overall expenses.
It is advisable for Alana to inquire about these fees beforehand to avoid any surprises.
Furthermore, Alana should assess the overall economic conditions that may influence the exchange rate during her stay.
Currency values can fluctuate based on various factors such as political stability, economic indicators, or global events.
Staying updated with the latest news and market trends can provide her with valuable insights to make the best decisions regarding currency exchange.
Lastly, Alana might also want to consider the convenience of exchanging currency.
She can either convert her GBP to euros in London before her trip or upon arrival in Paris.
Comparing exchange rates and fees at different locations can help her choose the most favorable option.
In summary, Alana's decision to book a hotel in Paris while on holiday in London involves considering the exchange rate between GBP and euros. By being mindful of currency conversion fees, monitoring economic conditions, and comparing exchange rates, Alana can effectively manage her budget and make an informed decision regarding her hotel booking in Paris.
For similar question on exchange rate.
https://brainly.com/question/2202418
#SPJ8
Mhanifa can you help this is due soon!!
Answer:
Question 1Given pentagon
Sum of interior angles:
S = (5 - 2)*180° = 540°Sum of exterior angles is same for any polygon:
360°Question 2Given hexagon
Sum of interior angles:
S = (6 - 2)*180° = 720°Sum of interior angles of a given hexagon:
x + 120° + 156° + 145° + x + 9° + 90° = 720°2x + 520° = 720°2x = 200°x = 100°How many combinations without repetition are possible if n = 6 and r = 3? 56 20 27 18
Answer:18
Step-by-step explanation:
n+r=9
n×r=27
r²=9
n²=36
n+n=12
r+n=9
r+r=6
At a local reservoir, it costs $15 to get a fishing license, and then you have to pay $2 for each fish caught that weighs over 5 pounds. If Nellymar paid $37, how many fish did she catch? Write and solve an algebraic equation.
Answer:
11 fish he caught
2x11=22+15=37, that is the equation
Step-by-step explanation:
PLEASE GIVE BRAINLIEST!!!
Show that
2/
√(12)-√√(8)
can be written in the form √a-√b, where a and b are integers.
The equation 2/(√12-√8) can be written in the form of √a+√b, where a and b are integers whose values are 3 and 2
What is a method of rationalization?In general, rationalization means multiplying a rational function by an ingenious form of one in order to remove radical symbols or imaginary numbers from the denominator. Rationalization can also be used to assess limits in order to prevent a zero in the denominator while substituting.The given equation is-
2/(√12-√8)
As, it is clear that the denominator part contains the irrational number.
Thus, to eliminate the irrational part, divide and multiply the equation by (✓12 + ✓8).
= 2/(✓12-✓8) × (✓12 + ✓8)/(✓12 + ✓8)
Further simplify;
= 2(✓12+✓8)/(12-8)
= 2(✓12+✓8)/4
= (✓12+✓8)/2
= ✓12/2 + ✓8/2
On further simplification;
✓3 + ✓2
Comparing the result with √a+√b, a is written as 3 while b is found as 2.
Thus, 2/(√12-√8) can be written in the form √a+√b, in which a = 3 and b = 2 are integers.
To know more about rationalization, here
https://brainly.com/question/790315
#SPJ9
The correct question is-
Show that 2/(√12-√8) can be written in the form √a+√b, where a and b are integers.
(7x+1)(2x−3)=0 solve for roots
Answer:
x = - \(\frac{1}{7}\), x = \(\frac{3}{2}\)
Step-by-step explanation:
Given
(7x + 1)(2x - 3) = 0 ← in standard zero product form
Equate each factor to zero and solve for x
7x + 1 = 0 ⇒ 7x = - 1 ⇒ x = - \(\frac{1}{7}\)
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \(\frac{3}{2}\)
Answer:
x = - 1 / 7 and x = 3 / 2
Step-by-step explanation:
14x2 - 21 x + 2x- 3 = 0
14x2 - 19x -3 = 0
x = 1 9 + 23 / 28 = 3 / 2
x = 19 - 23 / 28 = - 1 / 7
7x + 1 = 0 ⇒ 7x = - 1 = -1 / 7
2x - 3 = 0 ⇒ 2x = 3 = 2/ 3
Hope this answer helps you :)
Have a great day
Mark brainliest
A recipe calls for 1/2 lb of flour for 1 batch. How many batches can be made with each of the following amounts?
1 lb
3/4 lb
1/4 lb
Answer:
1. is the answer
Step-by-step explanation:
The number of batches that can be made with 1 lb , 3 / 4 lb and 1 / 4 lb are 2 batches , 1.5 batches and 0.5 batch respectively
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
The number of batch recipe calls for 1 / 2 lb of flour = 1 batch
And to calculate the number of batches , we use
The number of batch recipe calls for 1 lb of flour will be
1 / 2 lb of flours = 1 batch
Multiplying by 2 on both sides , we find the number of batches for 1 lb of flour
Therefore , 1 / 2 x 2 = 1 x 2
1 lb of flour = 2 batches
3 / 4 lb of flour is 1 x 3 / 4 = 2 x 3 / 4
= 3 / 2 batches
= 1.5 batches
1 / 4 lb of flour is 1 x 1 / 4 = 2 x 1 / 4
= 1 / 2 batches
= 0.5 batch
Hence , The number of batches that can be made with 1 lb , 3 / 4 lb and 1 / 4 lb are 2 batches , 1.5 batches and 0.5 batch respectively
To learn more about proportion click :
https://brainly.com/question/21346613
#SPJ2
in an oral exam, a student is supposed to draw a card randomly from a set of 20 cards and answer all three questions on the selected card. mike is taking the exam. there are 8 favorable cards (mike knows answers for all 3 questions). mike will get a grade a if he answers all 3 questions. what is the probability for mike to get an a if he draws the card:
if Mike draws a card randomly, he has a 40% chance of getting a grade of "A".
The probability of an event is a numerical measure of the likelihood that the event will occur. It is expressed as a fraction or decimal between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur. In this case, the event is Mike getting a grade of "A" on the oral exam, and the probability of this event is calculated as the number of favorable outcomes (cards with answers known by Mike) divided by the total number of possible outcomes (all 20 cards).
So, if Mike draws a card randomly from the set of 20 cards, he has a chance of 8/20 = 2/5 = 0.4 or 40% of answering all 3 questions correctly and getting a grade of "A". This means that if the experiment of drawing a card and answering the questions is repeated many times, Mike is expected to get a grade of "A" in 40% of those instances. The probability of Mike getting a grade of "A" is equal to the number of favorable outcomes (cards with answers known by Mike) divided by the total number of possible outcomes (all 20 cards).
Since Mike knows the answers to all 3 questions on 8 cards, the probability of him getting a grade of "A" is:
P(A) = 8/20 = 2/5 = 0.4 or 40%
So, if Mike draws a card randomly, he has a 40% chance of getting a grade of "A".
To know more about probability click here:
brainly.com/question/29381779
#SPJ4
direct variation equation of x and y when x=15 and y=3
what is y when x is 10
When x is 10 then the value of y will be 2 by the use of direct variation logic.
What is direct variation?There is direct variation between any two variables if one quantity is directly dependent on the other, i.e. one quantity increases with respect to the other and vice versa. This is the relationship between two variables where one variable is a constant multiple of the other.
According to the information given in the question:
x = 15 and y =3
It is clear that, x = 5y (direct variation)
Now when, x =10
Then, y = x/5
y = 10/5
y = 2
∴When x=10 then y = 2.
To learn more about direct variation visit the link below
brainly.com/question/13977805
#SPJ1
The number 651 is what percent of 700?
Answer:
93%
Step-by-step explanation:
651/700
Answer: 93%
Step-by-step explanation:= (
(651 × 100/700) × 1/100 = 93/100
i need help with this
Answer: 8.2 x 10^2
Step-by-step explanation:
Coco's garden has 8 88 tomato plants, 4 44 pepper plants, 3 33 squash plants, and 6 66 pumpkin plants. For every 7 77 plants in Coco's garden, there are 2_ plants.
Answer: For every 7 plants in Coco's garden, there are 2 pumpkin plants.
Step-by-step explanation:
since we have given that
Number of tomato plants = 8
Number of pepper plants = 4
Number of squash plants = 3
Number of pumpkin plants = 6
Total number of plants = 8+4+3+6=21
So, every 21 plants in Coco's garden, there are 6 pumpkin plants ,
So, we have asked to find for every 7 plants in Coco's garden , which type has 2 plants,
so, we did
So, according to this pattern,
if we multiply 2 with 3 i.e.
So, it will only be pumpkin plants,
So, For every 7 plants in Coco's garden, there are 2 pumpkin plants .
PLEASE GIVE ME BRAINLIST.