Write a word problem to fit each number sentence. Solve.
5 × 1 =
Answer: 5
Step-by-step explanation: add 5 by itself 5 times
Answer:
Step-by-step explanation:
the answer is 5
trust me
Factorise 5x^2-28x+23=0
\(5 {x}^{2} - 28x + 23 = 0 \\ \\ 5 {x}^{2} - 23x - 5x + 23 = 0 \\ (5 {x}^{2} - 23x) - (5x - 23) = 0 \\ x(5x - 23) - (5x - 23) = 0 \\ (x - 1)(5x - 23) = 0 \\ \\ x - 1 = 0 \\ \\ or \\ \\ 5x - 23 = 0 \\ \\ \\ x = 1 \\ \\ or \\ \\ x = \frac{23}{5} \)
ATTACHED IS THE SOLUTION
find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4
When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.
To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.
Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:
\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)
Taking the square root of both sides to find sin(0), we have:
sin(0) = ±√(16/25)
Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:
sin(0) = -√(16/25)
Simplifying further, we get:
sin(0) = -4/5
Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.
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Note the correct and the complete question is
Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4 ?
A red bird is flying at an elevation of 17 1/9 meters. A blue bird was flying at an elevation of 10 3/5
Answer:
The red bird is flying at 6 23/45 meters higher than the blue bird. But I'm not sure what you want me to solve here.
Answer:
1. 17 1/9 and 2. The red bird is flying at a higher elevation than the blue bird.
Step-by-step explanation:
If the mean is less than the median, what is likely to be the shape of the distribution? Select one: a. Skewed to the right b. Skewed to the left c. Approximately symmetric
The answer to the given question is option b. Skewed to the left.When the mean is less than the median, the distribution is usually skewed to the left. This means that the majority of the data are above the mean, and there is a long tail on the left side that drags the mean down.
When the mean is less than the median, the distribution is generally skewed to the left. This implies that most of the data is above the mean, and there is a long tail on the left side that drags the mean down.The shape of a distribution is determined by the relative frequencies of observations at each value. A symmetric distribution is one in which the frequencies are distributed evenly around the center of the distribution.
The mean and median are equal in a symmetric distribution.A skewed distribution is one in which the frequencies are unevenly distributed around the center of the distribution. A distribution can be skewed to the left or to the right, depending on the direction of the tail.A distribution is skewed to the left if there is a long tail on the left side of the distribution that drags the mean to the left of the median. This is often referred to as a negative skew.A distribution is skewed to the right if there is a long tail on the right side of the distribution that drags the mean to the right of the median. This is often referred to as a positive skew.
Therefore, when the mean is less than the median, the distribution is usually skewed to the left. This means that the majority of the data are above the mean, and there is a long tail on the left side that drags the mean down.
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In circle R with m/QRS = 30 and QR = 4 units, find the length of arc QS.
Round to the nearest hundredth.
R
S
Q
The length of arc QS is approximately 2.09 units.
The length of an arc of a circle:
Length of arc = (central angle / 360) × 2 × π × radius
Central angle is the angle in degrees formed by the two radii that define the arc and radius is the radius of the circle.
In this case, we are given that m∠QRS = 30 means that the central angle formed by radii QS and QR is 30 degrees.
We are also given that QR = 4 unit
The radius of the circle is also 4 units.
Substituting these values into the formula, we get:
Length of arc QS = (30 / 360) × 2 × π × 4
Simplifying and rounding to the nearest hundredth we get:
Length of arc QS ≈ 2.09
The length of arc QS is approximately 2.09 units.
An arc of a circle's length:
Arc length equals (central angle / 360) divided by 2 and radius.
Radius is the diameter of the circle, while central angle is the angle, in degrees, produced by the two radii that constitute the arc.
In this instance, we are told that mQRS = 30 denotes the centre angle of 30 degrees created by radii QS and QR.
Also stated is that QR equals 4 units.
The circle also has a radius of 4 units.
When these values are added to the formula, we obtain:
Arc length QS = (30 / 360) 2 4
Rounding to the closest hundredth and simplifying, we obtain:
Arc length QS = 2.09
Arc QS has a length of around 2.09 units.
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if you can help that will be great
Answer:
The game (including tax) would cost $31.80
Step-by-step explanation:
6% of 30.00 is 1.8 so sales tax would be $1.80
$30.00 + $1.80 = $31.80
Answer:
$31.8
Step-by-step explanation:
here's your solution
=> Cost of video game = $30
=> sale tax = 6%
=>now we need to calculate 6% of $30
=> 6/100*30 = $1.8
=> sale tax = $1.8
=> cost of video game including tax = $30 + $1.8
=> $31.8
hope it helps
A fair spinner has 12 equal sections: 4 red, 5 blue and 3 green.
It is spun twice.
What is the probability of getting 2 different colours?
Answer: 2/3 i beleive
Step-by-step explanation:
PLEASE HELP ME! i need right answers tho -_- please
8/10 .................................................
A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $400 each, and the laptop computers cost $150 each. How much would it cost to buy 13 notebooks and 19 desktop computers? How much would it cost to buy n notebooks and d desktop computers?
Answer:
$8,050 total
Step-by-step explanation:
notebooks: 13×400=5200
desktop: 19×150=2850
The cost to buy 13 notebooks and 19 desktop computers is $8050
Cost of notebook computers = $400
Cost of desktop computers = $150 each
The cost to buy 13 notebooks and 19 desktop computers will be:
= 400(13) + 150(19)
= 5200 + 2850
= $8050
The cost to buy n notebooks and d desktop computers will be:
= 400(n) + 150(d)
= 400n + 150d
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Lesley mixed 1 ounces of green paint with 4 ounce of purple paint. She decided to create 20
ounces of the same mixture. How many ounces of green paint does Lesley need for the new
mixture?
Answer:
4 oz
Step-by-step explanation:
1:4 is the ratio for this. in total, this makes 5 oz of paint. multipy 5 by 4 to get 20 oz. multiply the 1 oz of green paint by 4 as well.
Points y,B, and Q are shown on the coordinate plain. If Y,B and Q are the vertices of a triangle what is the perimeter to the nearest tenth of a unit of triangle YBQ
Answer: sqrt(61)
Step-by-step explanation:
For parts a) and c1), refer to the attached picture.
For part b), the distance formula is:
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Using x1 = -1, y1 = -4, x2 = -6, y2 = 2:
d = sqrt[(-6 + 1)^2 + (2 + 4)^2] = sqrt[25 + 36] = sqrt(61)
Part c2) Another way to find the length of AB without using the distance formula is by drawing the line and measuring it according to the scale.
Part d) This will only work as long as the graph paper is accurately made, and the scale computation is done correctly. However, this will only give approximations, and will not give an exact answer when radicals are involved.
Help?? It's for calc.
Answer:
the answer is 1.258
Answer:
1.258
Step-by-step explanation:
Mrs. Bell has an interest rate of 4.175% on her house. Mr. Bentley has an interest rate of 4.25% on his house. Which explains who has the lower interest rate?
A.
Mr. Bentley has the lower interest rate, because both decimals have a 4 in the ones place, and 0 thousandths is less than 5 thousandths.
B.
Mr. Bentley has the lower interest rate, because both decimals have a 4 in the ones place, and 5 hundredths is less than 7 hundredths.
C.
Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 7 hundredths is less than 5 hundredths.
D.
Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 1 tenth is less than 2 tenths.
Answer: D. Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 1 the third is less than 2 tenths.
Answer:
D
Step-by-step explanation:
write three rations that are equivalent to 6/9
Answer:
12/18, 2/3, and 18/27.
Step-by-step explanation:
In order to find ratios that are equivalent to a certain fraction they must have common divisibles.
In this case...
\(\frac{6}{9}\)
If the common divisible is two....
\(6\times2=12\)
\(9\times2=18\)
\(=\frac{12}{18}\)
You could also simplify the ratio:
\(\frac{6}{9} \div3=\frac{2}{3}\)
\(=\frac{2}{3}\)
If the common divisible is three:
\(6\times3=18\)
\(9\times3=27\)
\(=\frac{18}{27}\)
I need a answer fast thanks!
Answer:
Chart:
x y
-6 11
3 5
15 -3
-12 15
Step-by-step explanation:
The only things you can plug in are the domain {-12, -6, 3, 15}
Plug in the domain into equation to find y.
-6 :
y = -2/3 (-6) +7
y = +47
y=11
(-6,11)
3:
y = -2/3 (3) +7
y = -2 +7
y = 5
(3, 5)
15:
y = -2/3 (15) +7
y = -10 +7
y = -3
(15 , -3)
-12:
y = -2/3 (-12) +7
y = 8 + 7
y= 15
(-12,15)
Answer:
1) 11
2) 3
3) -3
4) -12
Step-by-step explanation:
eq(1):
\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)
1) x = -6
sub in eq(1)
\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)
2) y = 5
sub in eq(2)
\(x = (7-5)\frac{3}{2} \\\\x = 3\)
3) x = 15
sub in eq(1)
\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)
4)
sub in eq(2)
\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)
There are 4 grams of fiber in 1/2 cup of oats. How many grams of fiber are in 3 1/2 cup of oats?
1. 12 grams
2. 28 grams
3. 14 grams
4. 7 grams
my cousin when in Vietnam was a personal banker for his Army buddies ... if they needed money mid-month he would give them $20 if you agreed to pay him $40 at month end on payday ... although he did not disclose his borrowing rate, what was the cost of money (APR) for his buddies who needed immediate gratification
The personal banker given lending arrangement, the APR for your cousin's buddies who borrowed $20 and repaid $40 at the end of the month would be 120%
The annual percentage rate (APR) for your cousin's lending arrangement, to make a few assumptions. That each lending transaction occurs on the first day of the month and is repaid on the last day of the same month. Based on these assumptions, calculate the effective APR as follows:
Calculate the interest charged for a $20 loan over one month:
Interest = $40 (repaid amount) - $20 (loaned amount) = $20
Divide the interest by the loan amount and multiply by 100 to get the monthly interest rate:
Monthly Interest Rate = (Interest / Loan Amount) ×100 = ($20 / $20) ×100 = 100%
Multiply the monthly interest rate by 12 to obtain the annual interest rate:
APR = Monthly Interest Rate ×12 = 100% ×12 = 120%
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3. How many different ways can the letters in the word grade be arranged?
Answer:
Six letters---6
Step-by-step explanation:
You Welcome G!
The solution is, the letters in the word GRADE can be arranged in 120 ways.
What is combination?In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.
here, we have,
Given that we are to evaluate the number of ways to arrange the letters in the word GRADE,
In the word GRADE, we have 5 distinct letters:
G(1), R(2), A(3), D(4), E(5).
There are 5 letters.
Thus, the number of ways of arranging the letters is evaluated as
5! = 1×2×3×4×5
=120
Hence, the letters in the word GRADE can be arranged in 120 ways.
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Can someone help me with this question please.
Answer:B
Step-by-step explanation:
(X-4,Y+2)
Write 4.5 as a mixed number and an improper fraction
Write your answer in simplest form
Answer:
9/2 and mixed number: 4 1/2
Step-by-step explanation:
Answer:
Mixed number: \(4\frac{1}{2}\)Improper fraction: \(\frac{9}{2}\)I hope this helps!
A cell phone company offers a contract that costs $14.99 plus $0.06 per minute. Find the total number of minutes used if the bill for October was $20.21.
Answer:
87 minutes
Step-by-step explanation:
Let the total number of minutes = m
Our equation is given as:
$20.21 = $14.99 + 0.06m
20.21 = 14.99 + 0.06m
Collect like terms
0.06m= 20.21 - 14.99
0.06m = 5.22
m = 5.22/0.06
m = 87
Therefore, the total number rod minutes used is 87 minutes
Which is an equivalent expression for (5^2 • 3^4)^3?
15^18
5^6 • 3^12
5^2 • 3^12
5^5 • 3^7
Answer:
answer 2
Step-by-step explanation:
3*4=12
Answer:
B. 5^6 x 3^12
Step-by-step explanation:
(5^2 x 3^4)^3 =
5 x 5 x 3 x 3 x 3 x 3 =
25 x 81 =
2025
2025^3 =
8,303,765,625
Option B is correct because,
5^6 x 3^12 =
5 x 5 x 5 x 5 x 5 x 5 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 =
15,625 x 531,441 =
8,303,765,625
What value for 'C' makes the equation true root(4, (x ^ 4)/(c * y ^ 5)) = x/(3y * (root(4, 5)))
Answer:
Step-by-step explanation:
It would have to be something that when you take the fourth root of something, you would get 3
The way to find it is just raise 3 to the 4th power.
3^4 = 3 * 3 * 3 * 3 = 9 * 9 = 81
c = 81
625=5^(7x-3) what is x
\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)
{Please Don't Troll What value of x is in the solution set of -3x+8≥14 {Answer Choices -3,-1,0,3}
Answer:
x is less than or equal to -2
This means anything equal to or less than -2 is the solution to the ORIGINAL equation. Based on the solution set the answer is -3
Step-by-step explanation:
-3x+8 is greater than or equal to 14
-8 -8
-3x is greater than or equal to 6
-3x/-3 6/-3
*THIS WILL CAUSE US TO FLIP THE INEQUALITY SYMBOL AS WE DIVIDED BY A NEGATIVE NUMBER
x is less than or equal to -2
This means anything equal to or less than -2 is the solution to the ORIGINAL equation
Based on the solution set the answer is -3
Hope this helps!
unit 11 volum and surface area homework 6 surface area if oyramids and cones
Answer:
The surface area of a pyramid can be calculated by adding the area of the base to the sum of the areas of the lateral faces. If the base of the pyramid is a regular polygon, the formula for the surface area is:
Surface Area = Base Area + (0.5 x Perimeter of Base x Slant Height)
The surface area of a cone can be calculated by adding the area of the base to the area of the lateral surface. The formula for the surface area of a cone is:
Surface Area = Base Area + (π x Radius x Slant Height)
In both formulas, the slant height is the distance from the apex (top point) to the base along a lateral face.
Remember to use the appropriate units for measurements (e.g., square units for surface area).
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i reaalllly neeeed heeellllppppp brainleist to who gives the right answer
Answer:
24+48+10+14+4=100
10+4=14
14/100, or 7/50 chance
Step-by-step explanation:
Experimental probability is the result of an individual experiment, not theoretical probability
Complete the steps to solve the equation 4e2 + 2x = x-3 by graphing.
What is a outlier in math example?
In a dataset or graph, outliers are extreme values that greatly deviate from the dominant pattern of values.
How do you find the outlier in math?In order to identify the outlier, search for a value that is significantly greater or smaller than all the other values. Due to its extreme size compared to all other numbers, the number 267 is an outlier.
a value that "lies outside" (i.e., is significantly smaller or substantially bigger) most of the other values in a set of data For instance, both 3 and 85 in the scores 25, 29, 3, 32, 85, 33, 27 and 28 are "outliers".
A data point that is an outlier in a data graph or dataset you are dealing with is one that is extraordinarily high or extraordinarily low in comparison to the nearest data point and the rest of the nearby coexisting values. Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.
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