Answer:
4/7
Step-by-step explanation:
9 - 1 = 8
8/14 = 4/7
Answer: 4/7
Step-by-step explanation:
\(\frac{9}{14} -\frac{1}{14} =\frac{8}{14} \\\\\frac{8}{14} =\frac{4}{7}\)
subtract the numerators, then divide the numerator & denominator by their gcm (2 in this case)
A car travels at 50 mph until it is at a quarter (0.25) tank of gas. How far did the car travel if the uses gasoline at a rate of 1/8 tank per 1/2 hour of driving and started with a full tank.
The car can run for 1 hour until it reaches a quarter of a tank of gas
The vehicle can go 50 miles before running out of gas.
To solve this problemFirst, let's determine how long the automobile can continue to drive before it runs out of gas.
Since the car uses 1/8 of a tank of gas every 30 minutes of driving, it will use 1/4 of a tank in an hour.
Therefore, the car can run for 1 hour until it reaches a quarter of a tank of gas.
Now, let's calculate how far the car can travel in 1 hour at a speed of 50 mph:
Distance = Speed x Time
Distance = 50 mph x 1 hour
Distance = 50 miles
Therefore, The vehicle can go 50 miles before running out of gas.
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What is the value of x in the triangle below?
Answer:
B. 5√2
Step-by-step explanation:
hey, simply use Pythagoras theorem.
h²=p²+b²
or, 10²=x²+x²
or, 100= 2x²
or, x²=50
or, x= √50
or, x= √25×√2=5√2
Pls help with this answer
When b is 3, the value of the expression \(2b^3 + 5\) is 59.
To evaluate the expression\(2b^3 + 5\) when b is 3, we substitute the value of b into the expression and perform the necessary calculations.
Given that b = 3, we substitute this value into the expression:
\(2(3)^3 + 5\)
First, we evaluate the exponent, which is 3 raised to the power of 3:
2(27) + 5
Next, we perform the multiplication:
54 + 5
Finally, we add the two terms:
59
Therefore, when b is 3, the value of the expression \(2b^3 + 5\) is 59.
In summary, by substituting b = 3 into the expression \(2b^3 + 5\), we find that the value of the expression is 59.
It's important to note that the provided equation has multiple possible solutions for x, but when b is specifically given as 3, the value of x is approximately 3.78.
It's important to note that in this equation, we substituted the value of b and solved for x, resulting in a specific value for x. However, if we wanted to solve for b given a specific value of x, we would follow the same steps but rearrange the equation accordingly.
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a particular 12 -hour digital clock displays the hour and minute of a day. unfortunately, whenever it is supposed to display a 1 , it mistakenly displays a 9. for example, when it is 1 : 16 pm the clock incorrectly shows 9 : 96 pm . what fraction of the day will the clock show the correct time?
1/2 fraction of the day will the clock show the correct time when it is supposed to display a 1 , it mistakenly displays a 9.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Here,
=2/3(1-15/60)
=2/3(3/4)
=2/4
=1/2
When the clock should be displaying a 1, but instead shows a 9, the correct time will be displayed for 1/2 of the day.
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can someone help me with this problem? thank you!
Answer:
The surface area for the three rectangles is 48, 42, and 40 cm^2.
The surface area for the two triangles is 20 and 20, but for triangles, when you are finding the area of a triangle, you have to divide by 2.
4x5=20
20÷2=10
Now, do the same for the other triangle.
10+10=20.
Now, add all the surface areas together.
48+42+40+20=150
Surface area= 150 cm^2
:)
Choose a company with your option and explain how
that company can create a business model? There are 8 steps in the
business module, explain each step based on the company which you
have chosen.
Company: Amazon, 8 Steps in the Business Model: Define the value proposition. What value does Amazon offer its customers? Amazon offers a convenient and affordable way to shop for a wide variety of products.
Identify the target market. Who are Amazon's customers? Amazon's target market is people who want to buy products online.
Determine the revenue streams. How does Amazon make money? Amazon makes money through product sales, advertising, and subscription fees.
Assess the cost structure. What are Amazon's costs? Amazon's costs include salaries, rent, and marketing.
Develop a marketing plan. How will Amazon reach its target market? Amazon's marketing plan includes online advertising, search engine optimization, and social media marketing.
Create a sales strategy. How will Amazon sell its products? Amazon's sales strategy includes a focus on customer service and convenience.
Build a team. What skills and experience does Amazon need to build a successful business? Amazon needs a team with a variety of skills, including product development, marketing, and sales.
Continuously improve. How will Amazon ensure that its business model is successful? Amazon will continuously improve its business model by listening to customer feedback and adapting to changes in the market.
The 8 steps in the business model are essential for any company that wants to be successful. By following these steps, companies can ensure that they are offering a valuable product or service to the right customers, and that they are able to make money.
In the case of Amazon, the company has clearly defined its value proposition, target market, and revenue streams.
Amazon's marketing plan is also effective, and the company has built a team with the skills and experience necessary to be successful. Finally, Amazon is committed to continuous improvement, which is why the company has been so successful over the years.
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Part A: The solution to 2x−5=3
is x=4
.
The solution to 2x−5≥3
is x
4
.
A value for x
that is a solution to 2x−5=3
is x=
. A value for x
that is a solution to 2x−5≥3
is x=
.
Part B: The solution to −2x−5=3
is x=−4
.
The solution to −2x−5≥3
is x
−4
.
A value for x
that is a solution to −2x−5=3
is x=
. A value for x
that is a solution to −2x−5≥3
is x=
.
Answer:
Step-by-step explanation:
Part A: should be
x ≥ 4
-
2x-5=3 so
x=4
2x-5≥3
x=4
-
Part B: should be
x ≥ -4
-
-sx-5=3
x=-4
−2x−5≥3
x ≥ -4
you've been given the following data: Net exports $4 Net foreign factor income 2 Investment 185
Government spending 195 Consumption 500 Depreciation 59 From these data, calculate GDP, GNP, and NDP. GDP: $ GNP: $ NDP: $
It is given in the question that: Net exports $4 Net foreign factor income 2 Investment 185 Government spending 195 Consumption 500 Depreciation 59. Therefore, GDP is $884, GNP is $886, and NDP is $825.
In order to calculate GDP, GNP, and NDP using the given data; we will use the formulas:
GDP = Consumption + Investment + Government spending + Net exports
GNP = GDP + Net foreign factor income
NDP = GDP - Depreciation
Given, Net exports = $4
Net foreign factor income = 2Investment = 185
Government spending = 195
Consumption = 500
Depreciation = 59GDP = Consumption + Investment + Government spending + Net exports
GDP = $500 + $185 + $195 + $4 = $884GNP = GDP + Net foreign factor income
GNP = $884 + $2 = $886NDP = GDP - Depreciation
NDP = $884 - $59 = $825
Therefore, GDP is $884, GNP is $886, and NDP is $825
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Describe how to change a fraction into decimal
Answer:
to convert a fraction to a decimal, divide the numerator by the denominator.
Hope this helps.
Mr. Hunt gave out award ribbons to everyone who made honor roll. An image of the award ribbon is shown on the plane below. The award ribbon was pink and had an image of the school's logo
covering part of the ribbon. In the diagram, each grid square measures 1 inch by 1 inch.
The total area of the ribbon is equals to 46 sq. inches with a 4 square inches of school logo in between.
What is a Quardilateral ?The four-sided polygonal shape known as a quadrilateral has four edges and four corners. The Latin words quadri, a variation of four, and latus, meaning "side," were used to create the term.
Its sides are AB, BC, CD, and DA.There are four of them: Indicators A, B, C, and DThe angles are ABC, BCD, CDA, and DAB.Angles A and B are near one other.The polar opposite angles are A and C.They are the opposing parties, AB and CD.The neighboring sides are ABC.A 4-sided planar figure is called a quadrilateral. The following are some crucial characteristics of quadrilaterals:There are 4 vertices, 4 angles, and 4 sides in every quadrilateral.Its inner angles add up to 360 degrees.In American and Canadian English, a quadrilateral having at least one set of parallel sides is referred to as a trapezoid. It is referred to as a trapezium in British and other varieties of English. In Euclidean geometry, a trapezoid is a convex quadrilateral by definition. The bases of the trapezoid are the parallel sides.
The total area of the ribbon = area of the top square + area of the bottom trapizium
Area of the square = 4*4 = 16 sq. inches
Area of the trapizium = (1/2)*(sum of parallel sides)*height = (1/2)*(4+8)*5 = 30 sq. inches.
The total area of the ribbon is equal to 30 + 16 = 46 sq. inches with a 4 square inches of school logo in between.
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Tabo earns k4200 per month. His budget is k2500 for food, k300 for rent, k150 for clothes and k100 for other things. (a) how much does he spend each month ? ( b) how much does he have left to spend each month ?
Answer:
a) K3050 and b) K1150
Step-by-step explanation:
a) Add all his expenditures
i.e: K300+K150+K100
=K3050
b) Subtract the remaining of his spendings from the total
i.e: K4209 - K3050
=K1150
Given this expression:
29.3 x 10.8
How many decimal digits will the product have? Choose one.
1 decimal digit
2 decimal digits
3 decimal digits
Answer:
2 decimal places
Step-by-step explanation:
just simple count the number of decimal points on both sides
will mark as brainliest if correct, 20 points
Answer:
D. \(4\frac{1}{16}\)
Step-by-step explanation:
Substitute the given value into the function and solve.
Get it correct?!? You will get brainlest 5 starred AND thanked if not you will just get reported and warned :)
Answer:
7% increase
Have a nice day :)
Answer: Decay; -7% increase
You could also say "7% decrease" but it looks like your teacher wants "increase" in there, so you have to make the value negative.
=============================================================
Explanation:
The base of the exponential is 0.93
Compare this to 1+r and we see that 1+r = 0.93 solves to r = -0.07
The negative r value indicates exponential decay. Specifically we have 7% decay. The amount is decreasing by 7% each time x increases by 1 unit.
The phrasing "7% decrease" is the same as "-7% increase", though in my opinion, "7% decrease" sounds more natural and easier to conceptualize.
Determine a formula for angle x in terms of angles a and b. Explain why your formula is valid (without measuring any angles).
The formula is x = sin^-1(sqrt(sin(a) sin(b) / b c))
We can use the fact that the sum of the angles in a triangle is 180 degrees to determine a formula for angle x in terms of angles a and b.
Consider the triangle shown in the figure below:
By the Law of Sines, we have:
sin(a) / b = sin(x) / c
sin(b) / a = sin(x) / c
Multiplying these two equations, we get:
sin(a) sin(b) / bc = sin^2(x) / c^2
Rearranging, we get:
sin^2(x) = sin(a) sin(b) / b c
Taking the square root of both sides, we get:
sin(x) = sqrt(sin(a) sin(b) / b c)
We know that 0 < a, b, x < 180 degrees, so sin(a), sin(b), and sin(x) are all positive. Therefore, we can take the inverse sine of both sides to get:
x = sin^-1(sqrt(sin(a) sin(b) / b c))
This is the formula for angle x in terms of angles a and b.
To show that this formula is valid without measuring any angles, we can use the fact that it was derived using the Law of Sines, which is a well-established mathematical theorem.
The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of the angle opposite that side is the same for all three sides.
This theorem does not depend on any specific values of angles or sides, so we can be sure that our formula for angle x is valid for all possible values of angles a,and b.
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Determine if the triangles are congruent. If so, state what postulate proves that they are congruent.
Question 24 options:
The triangles cannot be proven congruent.
SAS
SSS
AAS
ASA
HL
Answer:
I believe it's SAS, but I am not 100% sure. I say this because you see the angle then in between is a side then another angle
$8,300 is invested in an account earning 8. 3% interest (APR), compounded
quarterly. Write a function showing the value of the account after t years,
where the annual growth rate can be found from a constant in the function.
Round all coefficients in the function to four decimal places. Also, determine
the percentage of growth per year (APY), to the nearest hundredth of a
percent.
Function: f(t)
=
The function that shows the value of the account after t years is f(t) = 8300*(1.00001729 \()^{12\times t}\) .
In the question ,
it is given that ,
the amount invested = $8300
the rate of interest = 8.3% compounded quarterly
compounded quarterly means that = 8.3%/4 = 0.02075
let the time period be "t" years .
the formula to calculate the amount for compound interest is
Amount = Principle * (1 + rate/12*100 \()^{12\times t}\)
= 8300*(1 + 0.02075/1200 \()^{12\times t}\)
Simplifying further ,
we get ,
= 8300*(1.00001729 \()^{12\times t}\)
Therefore ,The function that shows the value of the account after t years is f(t) = 8300*(1.00001729 \()^{12\times t}\) .
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1. 3(6a); for a=3
2. 5d(4); for d=-2
Answer:
Step-by-step explanation:
1. Solution for 3(6a)a=3 equation:
Simplifying
3(6a) * a = 3
Remove parenthesis around (6a)
3 * 6a * a = 3
Multiply 3 * 6
18a * a = 3
Multiply a * a
18a2 = 3
Solving
18a2 = 3
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Divide each side by '18'.
a2 = 0.1666666667
Simplifying
a2 = 0.1666666667
Take the square root of each side:
a = {-0.408248291, 0.408248291}
2.Solution for 5d(4)d=-2 equation:
Simplifying
5d(4) * d = -2
Reorder the terms for easier multiplication:
5 * 4d * d = -2
Multiply 5 * 4
20d * d = -2
Multiply d * d
20d2 = -2
Solving
20d2 = -2
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Divide each side by '20'.
d2 = -0.1
Simplifying
d2 = -0.1
Reorder the terms:
0.1 + d2 = -0.1 + 0.1
Combine like terms: -0.1 + 0.1 = 0.0
0.1 + d2 = 0.0
PLEASE HELP!!!!
Question: Write the equation of a line parallel to y = x -5 that goes through (7,0).
To find the equation of a line parallel to y = x - 5 that goes through (7,0), we need to use the fact that parallel lines have the same slope.
The slope of the line y = x - 5 is 1, since the coefficient of x is 1. Therefore, the slope of the parallel line we want to find is also 1.
Using the point-slope form of a line, we can write the equation of the parallel line as:
y - y1 = m(x - x1)
where (x1, y1) is the point (7,0) and m is the slope of the line, which we know is 1.
Plugging in the values, we get:
y - 0 = 1(x - 7)
Simplifying, we get:
y = x - 7
Therefore, the equation of the line parallel to y = x - 5 that goes through (7,0) is y = x - 7.
Answer:
y = x - 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 5 ← is in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes , then
y = x + c ← is the partial equation
to find c substitute (7, 0 ) into the partial equation
0 = 7 + c ( subtract 7 from both sides )
- 7 = c
y = x - 7 ← equation of parallel line
Please help me with this question.
Answer:
aww i help u.....
Step-by-step explanation:
my answer is letter ~~B CAUSE STUDEN BIS CONDYCTION LIKR FREE AT THE SCORED
The Tokyo Skytree in Japan is 634 m high. Meanwhile, the Canton Tower in China is 600 m high.
How much taller is the Tokyo Skytree?
Answer:
34
Step-by-step explanation:
634 - 600 = 34
Need help ASAP please
Answer:
C
Step-by-step explanation:
Given
x² - 36 = 0 ( add 36 to both sides )
x² = 36 ( take the square root of both sides )
x = ± \(\sqrt{36}\) = ± 6
That is x = - 6, x = 6 → C
An unknown fraction is between 0 and 1. Which iS true about the equivalent percent and decimal?
• The percent and decimal are between 0 and 1.
O The percent and decimal are greater than 1 and less than 100.
O The percent is between 0 and 1, and the decimal is greater than 0 and less than 100.
• The iS percent is greater than 0 and less than 100, and the decimal is between 0 and 1.
The correct statement about equivalent percent and decimal is that the Its equivalent percent is less than 100% and its equivalent decimal is less than 0.99 or less. Thus option B is correct option.
According to the statement
we have to choose the correct statement about the equivalent percent and decimal.
So, For this purpose, we know that the
Equivalent Percentage means the percentage obtained by dividing the amount paid by Party B by the amount it would have paid absent such limitation.
And
equivalent decimals are two decimal numbers that are equivalent.
Equivalent decimals are created by adding zeros to the right of or after the decimal point.
From these definitions the correct statement becomes that the
Its equivalent percent is less than 100% and its equivalent decimal is less than 0.99 or less.
So, The correct statement about equivalent percent and decimal is that the Its equivalent percent is less than 100% and its equivalent decimal is less than 0.99 or less.
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What is 4 wholes-2/5
Answer:
18/5
Step-by-step explanation:
4−
2
5
=
4
1
−
2
5
=
4
1
+
−2
5
=
20
5
+
−2
5
=
20+−2
5
=
18
5
(Decimal: 3.6)
Answer:
18/5
Step-by-step explanation:
4 wholes equal 20/5
20/5-3/5= 18/5
You perform 5200 significance tests using a significance level of 3% Assuming that the null hypothesis is true, how many of the test results would you expect to be statistically significant
If the null hypothesis is true, we would expect approximately 156 of the 5200 test results to be statistically significant by chance alone.
If the null hypothesis is true, and we perform 5200 significance tests at a significance level of 3%, we can expect that 3% of these tests would result in statistically significant results by chance alone.
To calculate the expected number of statistically significant results, we can multiply the total number of tests (5200) by the significance level (3%).
Expected number of statistically significant results = 5200 * 0.03
Calculating this, we have:
Expected number of statistically significant results = 156
Therefore, if the null hypothesis is true, we would expect approximately 156 of the 5200 test results to be statistically significant by chance alone.
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a researcher wishes to see if there is a difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities. she selects two random samples and the data are shown. use for the mean number of families with no children. at , is there a difference between the means? use the critical value method and tables. no children children
To test if there is a difference between the means of the two populations, we can perform a two-sample t-test. The null hypothesis is that there is no difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.
Let's assume that the researcher has collected the following data:
Sample of families with no children: n1 = 30, sample mean = 4.5 hours per week, sample standard deviation = 1.2 hours per week.
Sample of families with children: n2 = 40, sample mean = 3.8 hours per week, sample standard deviation = 1.5 hours per week.
Using the critical value method, we need to calculate the t-statistic and compare it to the critical value from the t-distribution table with n1+n2-2 degrees of freedom and a significance level of α = 0.05.
The formula for the t-statistic is:
t = (x1 - x2) / sqrt(s1^2/n1 + s2^2/n2)
where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.
Plugging in the numbers, we get:
t = (4.5 - 3.8) / sqrt((1.2^2/30) + (1.5^2/40)) = 2.08
The degrees of freedom for the t-distribution is df = n1 + n2 - 2 = 68.
Using a t-distribution table, we find the critical value for a two-tailed test with α = 0.05 and df = 68 is ±1.997.
Since our calculated t-statistic of 2.08 is greater than the critical value of 1.997, we can reject the null hypothesis and conclude that there is a statistically significant difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.
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An item sells for $75 and is on sale for 35% off. The sales tax is 9.8%. What is the final cost of the item?
The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.
The given problem is related to percentage discounts and sales tax and can be solved using the following steps:
Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25
Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75
Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79
Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.
Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54
Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!
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I need help with this question ASAP
Answer:
the second one
Step-by-step explanation:
List the domain and the range of the provided graph of a square root function.
The domain and the range of the provided graph of a square root function include the following:
Domain = (-∞, 0).
Range = (-2, ∞).
What is a domain?In Mathematics, a domain is the set of all real numbers for which a particular function is defined.
Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = {-∞, 0}
Range = {-2, ∞}
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Janet has money invested in two different accounts. The function f(x) represents the amount of money in an account after x years of interest compounded monthly, while the function g(x) represents the amount of money in an account after x years of simple interest. x 1 2 3 4 f(x) 1,576.74 1,657.41 1,742.21 1,831.34 x 1 2 3 4 g(x) 1,575 1,650 1,725 1,800 Complete the table to show the difference in the value of the accounts for each year. x 1 2 3 4 (f – g)(x)
Considering the amounts in each table, the difference function is given as follows:
x| 1 2 3 4
(f - g)(x)|1.74 7.41 17.21 31.34
What is the difference function?At each value of x, the difference function (f - g)(x) is given by f(x) - g(x).
Hence, from the table given:
(f - g)(1) = f(1) - g(1) = 1,576.74 - 1,575 = 1.74.
(f - g)(2) = f(2) - g(2) = 1,657.41 - 1,650 = 7.41.
(f - g)(3) = f(3) - g(3) = 1,742.21 - 1,725 = 17.21.
(f - g)(4) = f(4) - g(4) = 1,831.34 - 1,800 = 31.34.
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