\(s = ut + \frac{1}{2} a {t}^{2} \\ s = 10( \frac{1}{2} ) + \frac{1}{2} ( - 2) {( \frac{1}{2}) }^{2} \\ s = 10( \frac{1}{2} ) + \frac{1}{2} ( - 2)( \frac{1}{4} ) \\ s = 5 + ( - 1)( \frac{1}{4} ) \\ s = 5 + ( - \frac{1}{4} ) \\ s = 5 - \frac{1}{4} \\ s = \frac{20}{4} - \frac{1}{4} \\ s = \frac{19}{4} \)
Hope it helps
Please give brainliest
Answer:
4.75
Step-by-step explanation:
i hope this is helpful to you.
First person to help gets brainliest!!
The value of x from the equation represented by the given bar diagram is 20.
The equation is represented using the bar diagram and from the bar diagram be can observe that the equation will be the following equation mentioned below:
3.5 x + 12.5 x = 320 equation 1
The bar diagram represents 3.5 x + 12.5 x = 320 equation. Now we will simplify this equation and will find the value of x from this equation. The steps that need to be followed to simplify this equation are shown below;
3.5 x + 12.5 x = 320
16 x = 320
Divide both sides of equation by 16 , we will get
x = 320/16
x = 20
The value of x from the equation 3.5 x + 12.5 x = 320 is 20.
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15 POINTS
Using Pythagoras' theorem, calculate the length
of XY.
Give your answer in centimetres (cm) to 1 d.p.
Answer:
13.27 cm
Step-by-step explanation:
I am using (xy) to mean the length of the side xy
7^2 + (xy)^2 = 15^2
49 + (xy)^2 = 225
(xy)^2 = 225-49
(xy)^2 = 176
Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm
The 2007 BMW 335i Coupe is offered with a choice of 14 exterior colors, 5 interior colors, and 4 trims. How many combinations involving color and trim are available for the model?
Answer:
76 colors available
Step-by-step explanation:
Given
\(Exterior\ Colors = 14\)
\(Interior\ Colors = 5\)
\(Trims = 4\)
Required
Determine the possible combinations available
From the question, there is no distinction between the selection of external and internal color.
So:
\(Colors = 14 + 5\)
\(Colors = 19\)
The are 19 possible colors and 5 possible trims.
So, number of combination is answered using the following rule of product
\(Combination = Colors * Trims\)
\(Combination = 19 * 4\)
\(Combination = 76\)
Find the sum of the first 27 terms
of the arithmetic sequence.
First, fill in the equation.
a₁
= 5 and a27
Sn = 2/(a₁ + an)
Sn
=
[?]
2
+
=
83
Answer:
S₂₇ = 1188
Step-by-step explanation:
using the given formula for \(S_{n}\) , that is
\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )
with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then
S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188
determine the surface area and volume
The surface area of a cylinder is 284m² and it's volume is 366.9m³
What is the surface area and volume of a cylinder?To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:
Surface Area (A) = 2πr² + 2πrhVolume (V) = πr²hFrom the given question, the data are;
radius = 4mheight = 7.3ma. The surface area of the cylinder is;
SA = 2π(4)² + 2π(4)(7.3)
SA = 283.999≈284m²
b. The volume of the cylinder is
v = πr²h
v = π(4)²(7.3)
v = 366.9m³
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Which sequence explains a geometric method of determining
3 - 17i/2 +2i?
The sequence explains a geometric method of determining plot 3 - 17i, scale 2√2, and rotates 45 clockwise.
What is a geometric series?When all the terms of a geometric sequence are added, then that expression is called geometric series.
The sequence explains a geometric method of determining
\(\dfrac{3 - 17i}{2 +2i}\\\\\\\dfrac{3 - 17i}{2 +2i}\times \dfrac{2 -2i}{2 -2i}\\\\\\\dfrac{3 - 17i}{8}\times( 2 -2i)\\\\\\\dfrac{6-6i-34i-34 }{8}\\\\\dfrac{-28 - 40i}{8}\\\)
The plot 3 - 17i, scale 2√2, rotates 45 clockwise.
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Convert the equations in the system below into slope-intercept form and then classify the system.
-12-2-7-y = -2
-24-2-14-y = -4
In slope-intercept form, the first equation is y=
In slope-intercept form, the second equation is y=
Answer:
y = -19
y = -36
Step-by-step explanation:
1) -12-2-7-y = -2
-14-7 - y = -2
- 21 - y + 21 = -2 +21
-y ÷ -1 = 19 ÷ -1
y = - 19
-24 - 2- 14 - y = -4
-26 - 14 - y = -4
-40 - y +40 = -4 + 40
-y ÷ -1= 36 ÷ -1
y = -36
A bag contains 3 blue marbles, 10 green marbles, 4 yellow marbles, and 8 red marbles. A marble is chosen at random, not replaced, then another marble is chosen. What is the probability that it is a red marble, then a blue marble? Write your answer as a fraction in simplest form.
Answer:
There are a total of 25 marbles in the bag.
The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.
Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.
The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.
To find the probability of both events occurring together, we multiply their individual probabilities:
8/25 x 1/8 = 1/25
Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.
What is the volume of a cereal box that measures 2 inches by 7 inches by 11 inches?
Answer:
154 in^3
Step-by-step explanation:
to find a volume of a rectangular prism all you have to do is multiply the length, width and height
so for this
11(7) = 77
77(2) = 154
Write the fraction 6/8 in the simplest terms
The table shows the age of a painting (x) in years, and its estimated dollar value (y).
A 4-column table with 6 rows. Column 1 is labeled x with entries 50, 54, 62, 65, 68, sigma-summation x = 299. Column 2 is labeled y with entries 1,200, 1,500, 2,400, 3,200, 4,100, sigma-summation y = 12,400. Column 3 is labeled x squared with entries 2,500, 2,916, 3,844, 4,225, 4,624, sigma-summation x squared = 18,109. Column 4 is labeled x y with entries 60,000, 81,000, 148,800, 208,000, 278,800, sigma-summation x y = 776,600.
Which regression equation correctly models the data?
y = 41.47x + 0.09
y = 41.47x + 1,279.93
y = 153.32x – 6,688.54
y = 153.32x – 6,325.76
Regression equation correctly models the data is: y = -43.98x + 1,279.93
To determine the regression equation that correctly models the data, we can use the method of linear regression. The regression equation for a straight line is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.
Using the given table, we can calculate the necessary values to determine the regression equation. Let's denote the sigma notation as Σ.
The slope (m) can be calculated using the formula:
\(m = (Σxy - (Σx)(Σy) / n(Σx^2) - (Σx)^2)\)
Plugging in the values from the table:
m =\((776,600 - (299)(12,400) / 6(18,109) - (299)^2)\)
m = (776,600 - 3,708,800 / 6(18,109) - 89,401)
m = (-2,932,200 / 66,654)
m ≈ -43.98
The y-intercept (b) can be calculated using the formula:
b = (Σy - m(Σx)) / n
Plugging in the values from the table:
b = (12,400 - (-43.98)(299)) / 6
b ≈ 1,279.93
The correct regression equation that models the data is:
y = -43.98x + 1,279.93
Out of the given options, the correct regression equation is:
y = -43.98x + 1,279.93
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Write a verbal phrase for each of the following algebraic expressions.
a. 11x
b. x + 9
c. 18 – x
d. 4(x - 3)
Answer:
a. the product of 11 and x
b. 9 greater than x
c. x less than 18
d. the product of 4 and the difference of x and 3
Step-by-step explanation:
Segment MP is tangent to circle O. Find the length of the radius of circle O.
R = 10.5
Step-by-step explanation:
Using Pythagorean theorem, we can write
(OM)^2 + 10^2 = (OR + 4)^2
Since OM = OR, let's call this segment R for brevity.
R^2 + 10^2 = (R + 4)^2
R^2 + 100 = R^2 + 8R + 16
This simplifies to
8R = 84
or R = 10.5
How do you find the median of a data set when you have an even number of values?
Answer:
If there is an even number of numbers, the median is the average of the two numbers in the middle.
Step-by-step explanation:
To find the median of any set of numbers, put them in order from smallest to greatest. If a number occurs more than once, list it more than once. The number in the middle is the median. If there is an even number of numbers, the median is the average of the two numbers in the middle. For your first example, we line them up: 3, 6, 6.
Answer:
Set them from least to greatest and remove one from each side until you find the middle number! If you're left with 2, add them both and divide by 2.
Step-by-step explanation:
A printing service charges a set up fee of 14.50 for each order and 8 cent more for each copy the total cost is C in dollars for and order of X copies is given by the following function C(X)=0.08x+14.50. What is the total cost for 40 copies Please help
Step-by-step explanation:
In order to get the answer first you figure out the type of equation. In this case this is a linear equation, y=mx+b
The B or the y-intercept/base is the first step. Here, it says a fee of 14.50 is needed for each order.
The mx part will be the .08 cents needed for each copy.
y= .08x+14.50 is the equation....
The copies needed is 40 which is the x in the situation:
y=.08(40)+14.50....
.08 * 40 is 3.2 then add the base of 14.50 which is: 17.70 all together
simplify b^n-2*b^n-3
The simplified form of the exponential expression \(b^{n- 2}\times{b^{n-3} = b^{2n - 5}\).
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, An exponential expression \(b^{n- 2}\times{b^{n-3}\).
We know, Same base multiplication is exponent addition.
Therefore,
\(b^{n- 2}\times{b^{n-3} = b^{n - 2 + n - 3}\).
\(b^{n- 2}\times{b^{n-3} = b^{2n - 5}\).
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If f(x) = 2x2 + 3x and g(x) = x 2- 7, find (f +g)(x)
Answer:
3x²+3x-7
Step-by-step explanation:
(f+g)(x)=2x²+x²+3x-7
=3x²+3x-7
Help I don't understand how to do this
Answer:
Step-by-step explanation:
Given
Points (-1,7) and (1,3)
Formula
m = (y2 = y1) / (x2 - x1)
y2 = 7
y1 = 3
x2 = - 1
x1 = 1
Solution
m = (7 - 3) / (-1 - 1)
m = 4 / - 2
m = - 2
Now use either one of the points to get b in y = mx + b
x = 1
y = 3
m = - 2
y = mx + b
3 = -2 (1) + b
3 = -2 + b
b = 3 + 2
b = 5
Equation: y = - 2x + 5
Second question.
y = -2 + 1
Think money. You have a dollar in your pocket, but you owe your mom 2 dollars. Where are you.
y = -2 + 1
y = - 1
Use mental math, estimation, and the division algorithm to evaluate the expressions.
What is the answer ?
118.4 divided by 6.4 ?
Answer:
18.5
Step-by-step explanation:
Which method is correct for squaring a binomial expression of the form ax + b, where a and b are real numbers and x is a variable?
Squaring the binomial ax+b:
\(\begin{gathered} (ax+b)(ax+b)=(ax)\placeholder{⬚}^2+(ax)(b)+(ax)(b)+(b)\placeholder{⬚}^2 \\ (ax+b)(ax+b)=(ax)\placeholder{⬚}^2+2(ax)(b)+(b)\placeholder{⬚}^2 \end{gathered}\)As you can see above to square the given polynomial using the method A you get at the end the formula given in method B.
Then, both methods are correctWhich value below is included in the solution set for the inequality statement? -3(x-4) > 6(x-1) 0-1 02 07 0 3 NEXT QUESTION ASK FOR HELP
The solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.
To determine which value is included in the solution set for the inequality statement -3(x-4) > 6(x-1), we need to solve the inequality for x.
Starting with the given inequality:
-3(x - 4) > 6(x - 1)
First, distribute -3 and 6 to the terms inside the parentheses:
-3x + 12 > 6x - 6
Next, combine like terms by subtracting 6x from both sides and adding 6 to both sides:
-3x - 6x > -6 - 12
-9x > -18
To isolate x, divide both sides of the inequality by -9. Remember that when dividing by a negative number, we need to reverse the inequality sign:
x < (-18) / (-9)
x < 2
Therefore, the solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.
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I'm not really good at exponents I was wondering if I could get some help on this plz brainly to best answer
Answer:
Ok so it's asking you what 8 to the 5th power/ divided by eight is I believe
Step-by-step explanation:
8*8*8*8*8=32,768/8=4,096
I hope that helps
Good luck hun
The question is asked in the attached file,. Kindly someone answer it in the best way.
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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please helppp!!! thank you!
The number line that shows the solution to the inequality is given as follows:
First number line.
How to solve the inequality?The inequality in the context of this problem is defined as follows:
-6x + 5 >= 17
-6x >= 12.
Due to the negative sign of the leading coefficient, we should change the sign of all terms, including the sign, as follows:
6x <= -12.
Then the solution is given as follows:
x <= -2.
Which is composed by the numbers to the left of the closed interval at x = -2, hence the first number line gives the solution to the inequality.
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The number line that shows the solution to the inequality is: C. graph C.
What is an inequality?In Mathematics and Geometry, an inequality refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Based on the information provided above, we have the following equation (inequality);
-6x + 5 ≥ 17
By subtracting 5 from both sides of the equation (inequality), we have;
-6x + 5 - 5 ≥ 17 - 5
-6x ≥ 12
x ≤ 12/6
x ≤ 2 (it would be shaded to the left with a closed circle at 2).
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58% of what is 63.42
Answer:
151
Step-by-step explanation:
Answer:
1.09
Step-by-step explanation:
If triangles ABC and DEF are similar, what is y? Show your work.
The value of y is 18
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.
Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.
Therefore;
14/21 = 12/y
14y = 21 × 12
14y = 252
divide both sides by 14
y = 252/14
y = 18
Therefore the value of y is 18.
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I’ll give brainliest! Please help
Answer:
65
Step-by-step explanation:
The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65
4. Please complete the following math problem & show your work.
You are responsible for making sure that the club has a sufficient inventory of light bulbs. You need to have 20 light bulbs of each
size in storage. You need to check all of the storage closets to get a count. In the first storage closet, you find five boxes of 36" bulbs
with two in each box and four boxes of 24" bulbs with four in each box. In the second storage closet, you have three boxes of 36°
bulbs with four in each box. In addition, you know you need to replace four 36 bulbs. How many do you need to order in order to
keep twenty of each size in stock?
You need to order 2 36" bulbs and 4 24" bulbs in order to keep twenty of each size in stock.
What is the stock?The stock is a type of security that represents ownership in a company. It is a financial asset that can be traded, and the price of the stock is determined by the supply and demand of the market. When a company issues stock, the stockholders gain a share of the company’s ownership.
36" bulbs:
First storage closet: 5 boxes with 2 in each box = 10
Second storage closet: 3 boxes with 4 in each box = 12
Total = 10 + 12 = 22
Need to order = 20 - 22 = 2
24" bulbs:
First storage closet: 4 boxes with 4 in each box = 16
Total = 16
Need to order = 20 - 16 = 4
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Which equation represents a proportional relationship that has a constant of proportionality equal to 0.7?
Answer:
The usual representation of a proportional relationship is ...
y = kx
You want the constant of proportionality (k) to be 7/10, so this is ...
y = (7/10)x
Dividing by x gives the equivalent relationship ...
y/x = 7/10
4) Evaluate the function when f(2).
f(x) = (x-2)(x+2)
Answer:
0
Step-by-step explanation:
f(2) = (2-2)(2+2) = (0)(4) = 0