Answer:
180
Step-by-step explanation:
The word HORSES has 6 distinct letters, so we can arrange them in 6! = 720 ways if all the letters were unique.
However, in this case, the letters E and S are repeated twice. Therefore, we must divide by the number of arrangements of the repeated letters to avoid counting the same arrangement more than once.
The letter E appears twice, so there are 2! = 2 ways to arrange the E's within the word. Similarly, the letter S appears twice, so there are 2! = 2 ways to arrange the S's within the word.
Thus, the total number of unique arrangements of the letters in the word HORSES is:
6! / (2! × 2!) = 720 / 4 = 180
Therefore, there are 180 unique arrangements of the letters in the word HORSES.
What is the slope of 5x-4y=-24
Answer: The slope is -5/4
m=-5/4
A triangular prism with a base that is a triangle. The triangle has sides of 5 cm, 6 cm, 8 cm and a height of 4 cm that is perpendicular to the base of 5 cm. (area of a triangle is A = 1/2bh) The height of the triangular prism is 9 cm. SA =
cm2
The surface area of the triangular prism is 191 cm².
The surface area (SA) of a triangular prism is given by the formula:
SA = 2A + Ph
where A is the area of the base, P is the perimeter of the base, and h is the height of the prism.
First, we need to find the area of the triangular base.
Using the formula for the area of a triangle:
A = (1/2)bh = (1/2)(5 cm)(4 cm) = 10 square centimeter
Next, we need to find the perimeter of the base:
P = 5 cm + 6 cm + 8 cm = 19 cm
Now we can use the formula for the surface area of a triangular prism:
SA = 2A + Ph
= 2(10 cm²) + (19 cm)(9 cm)
= 20 cm²+ 171 cm²
= 191 cm²
Therefore, the surface area of the triangular prism is 191 cm².
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Write each number in scientific notation
Answer:
There is nothing to write about my brother
Step-by-step explanation:
There is a scientific notation moment when shrek had to hit the griddy and said "i said right foot creep"
Help asap 20 points please
The total number of meals received by the company this month = 40 meals
Given data ,
Let the number of meals received by the company this month be A
Now , the proportion is given as
The number of boxes of meals in the past month = 3 boxes
The number of meals in 3 boxes = 15 meals
The number of boxes in the present month = 8 boxes
So , the proportion is
15 / 3 = A / 8
Multiply by 8 on both sides , we get
A = 5 x 8
A = 40 meals
Hence , the number of meals is A = 40 meals
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i dont know how to subtract: 8-4 1/2.
Answer:
The answer would be 3.5 in decimal form.
Answer:
The answer is 55/12
Step-by-step explanation:
8-41/12
(8×12+1×(-41))/12
(96-41)/12
55/12
please find the area to question 4 on tuesday use link below
Answer: im pretty sure the answer is in the pdf, when you scroll down. its 126 cm^2
Step-by-step explanation:
Gary has 24 quarters, 16 dimes, and 32 pennies. Write a ratio that compares the combined number of dimes and pennies to the number of quarters
Nicole‘s mother put tiles on a section of the kitchen floor. The section included 5 rows with 13 tiles in each row. Each tile cost $2. How much money did Nicole’s mother spend on the tiles?
If each tile cost $2 then the amount spend by Nicole’s mother on tiles is $130
Given that Nicole‘s mother put tiles on a section of the kitchen floor.
The section included 5 rows with 13 tiles in each row
Each tile cost $2.
To find the total amount spend by Nicolas mother on tiles we have to find the number of tiles
Number of tiles =5×13
=65 tiles
Now let us find the amount
Total amount on tiles = 2×65
=$130
Hence, if each tile cost $2 then the amount spend by Nicole’s mother on tiles is $130
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In a school, if the bell is rung at 45 minute intervals, how many times will the bell be rung in 3 hours?
In a school, if the bell is rung at 45 minute intervals, how many times will the bell be rung in 3 hours?
Step-by-step explanation:
45 minutes is 3/4 of an hour.
how often does 3/4 fit into 3 ?
3 / 3/4 = 3/1 / 3/4 = (3×4)/(1×3) = 4
so, it will be rung 4 times.
Answer: 4 times.
Step-by-step explanation:
We can divide 3 hours by 45 minutes, to get the number of times the bell will ring in 3 hours:
3 hours ÷ 45 minutes = 4
Therefore, the bell will be rung 4 times in 3 hours.
Think of it like this:We can also think of it like this: 3 hours is 180 minutes, and the bell rings every 45 minutes.
So, we can divide 180 by 45 to get the number of times the bell will ring:
180 minutes ÷ 45 minutes = 4
Therefore, the bell will be rung 4 times in 3 hours.
Express the area of the entire rectangle. Your answer should be a polynomial in standard form. An area model for a rectangle that has a height of x plus two and a width of x plus six. The rectangle is broken into four rectangles to isolate each term in the height and the width. The top left rectangle has a height of x and a width of x. The top right rectangle has a height of x and width of six. The bottom left rectangle has a height of two and a width of x. The bottom right rectangle has a height of two and a width of six.
The area of the entire rectangle as polynomial is x^2 + 8x + 12
Expressing the area of the entire rectangle as polynomialFrom the question, we have the following parameters that can be used in our computation:
Height = x + 2; Width = x + 6
Broken rectangles
Height = x; Width = xHeight = x; Width = 6Height = 2; Width = xHeight = 2; Width = 6The area of the rectangle is the product of the dimensions
Adding the heights and the width of the individual rectangles, we have
Height = x + 2; Width = x + 6
So, the area is
Area = (x + 2)(x + 6)
Expand
Area = x^2 + 8x + 12
Hence, the area expression is x^2 + 8x + 12
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 65
and DC = 6, what is the length of BC in simplest radical form?
Answer: =
B
65
6
C
Submit Answer
Applying the leg rule, the length of BC in simplest radical form is: x = x = √390
How to Apply the Leg Rule?The leg rule is used to find missing lengths in a right triangle when an altitude intersects the hypotenuse and form segments.
The leg rule is given as:
Hypotenuse / leg = leg / part
Thus, using the image given, we have:
Hypotenuse (AC) = 65
Part (DC) = 6
Leg = x
Plug in the values:
65 / x = x / 6
Cross multiply:
x * x = 6 * 65
x² = 390
x = √390
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Helpp please guyssssss
Answer:
The answer and step by step explanation is above
If-4x - 6y = 8 and 6x + 5y = 7 are true equations, what would be the value
of 2x - y?
answer:
15
step-by-step explanation:
you would need to use elimination to solve thisthis can be done by adding both equations-4x - 6y = 8
+ (6x + 5y = 7)
__________
2x - y = 15
which choice represents the fraction below as a single exponential expression
The fraction can be represented as follows:
[tex]\frac{6^8}{6^8} = 6^0[/tex]
How to write this as a single fraction?Remember the rule for exponents:
[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]
So we just need to subtract the exponents
Here we have the following quotient:
[tex]\frac{6^8}{6^8}[/tex]
Using the rule above, we can rewrite that fraction as follows:
[tex]\frac{6^8}{6^8} = 6^{8 - 8} = 6^0[/tex]
So the exponent at the end is zero, this means that the correct option is B.
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Which of the following points represents a striking deviation in the box plot above?
A.
P
B.
R
C.
S
D.
Q
A point that represent a striking deviation in the box plot above include the following: C. P.
What is a box-and-whisker plot?In Mathematics and Statistics, a box plot can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Based on the information provided about the data set, the five-number summary for the given data set include the following:
Minimum (Min) = 24.First quartile (Q₁) = 26.Median (Med) = 28.Third quartile (Q₃) = 29.Maximum (Max) = 30.In conclusion, we can logically deduce that point P represent a striking deviation in the box plot because it is an outlier (it is significantly far from all of the other data points).
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Brooke has money in an account that earns 10% interest compounded annually.
She earns $1.47 in 2 years, how much money did Brooke initially invest?
The money Brooke initially invest is $1.21.
How to calculate how much money did Brooke initially investUsing the formula for compound interest formula:
A = P(1 + r/n)^(nt)
where:
A = final amount after t years
P = initial investment
r = annual interest rate
n = number of times interest is compounded per year
t = number of years
Substituting the given values:
1.47 = P(1 + 0.10/1)^(1*2)
1.47 = P(1.10)^2
1.47 = P(1.21)
P = 1.47/1.21
P = 1.2148...
Rounding to the nearest cent, Brooke initially invested $1.21.
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Find the pair of numbers that completes the factorization. x^2 - 3x - 40 = (x +?)(x-?)
a- 5,8
b- 4,10
c- 10,4
d- 8,5
answer
a. 5,8
explanation
use numbers in each answer choice
+5 * -8 = - 40
+5 -8 = -3
Consider the form [tex]x^2+bx+c[/tex]. Find a pair of integers whose product is [tex]c[/tex] and whose sum is [tex]b[/tex]. In this case, whose product is -40 and whose sum is -3.
[tex]\longrightarrow\boxed{\bold{(-8,5)}}[/tex]
Write the factored form using these integers.
[tex](x-8) \ (x+5)[/tex]
1. An account is opened with an initial deposit of $6,500
and earns 3.6% interest compounded semi-annually.
What will the account be worth in 20 years?
The account will be worth approximately $13,268.58 in 20 years if it is opened with an initial deposit of $6,500 and earns 3.6% interest compounded semi-annually.
What is the accrued amount in 20 years?The formula accrued amount in a compounded interest is expressed as;
A = P( 1 + r/n )^( n × t )
Where A is accrued amount, P is principal, r is interest rate and t is time.
Given the data in the question;
Principal P = $6,500
Compounded semi-annually n = 2
Time t = 20 years
Interest rate r = 3.6%
Accrued amount A = ?
First, convert R as a percent to r as a decimal
r = R/100
r = 3.6/100
r = 0.036
Plug in the given values into the above formula.
A = P( 1 + r/n )^( n × t )
A = $6,500( 1 + 0.036/2 )^( 2 × 20 )
A = $6,500( 1 + 0.036/2 )^( 40 )
A = $6,500( 1 + 0.018 )^( 40 )
A = $13,268.58
Therefore, the accrued amount in 20 years is $13,268.58.
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What is the volume of this prism?44 cubic units
88 cubic units
102 cubic units
Not enough information.
The volume of the prism will be 88 cubic units. Then the correct option is B.
Given that:
Length, L = 4 units
Width, W = 4 units
Height, H = 5.5 units
The volume of the prism is given as,
V = L x W x H
The volume of the prism is calculated as,
V = 4 x 4 x 5.5
V = 88 cubic units
The volume of the prism will be 88 cubic units. Then the correct option is B.
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The complete question is given below.
2. Marshall wants to save at least $175
for a new video game system and
some games. So far, he has saved
$68.50.
Part A
Write an inequality to represent the
amount of money, a, that Marshall still
needs to save.
Let's assume that the video game system and games cost a total of $x. Marshall has saved $68.50 so far. To represent the amount of money, a, that Marshall still needs to save, we can write the following inequality:
a ≥ x - 68.50
This inequality states that the amount Marshall still needs to save (a) must be greater than or equal to the cost of the video game system and games (x) minus the amount he has already saved ($68.50).
Two train tracks run parallel leaving a station. Train A leaves the station heading east at 55 mph. Train B leaves the station 2 hrs and 15 minutes later also traveling east but at 120 mph. The equation below gives the distance, D, between the two trains as a function of the number of hours, T, that have passed since train B left the station.
For which two values of T will D = 40? Round to the nearest tenth.
A.
0.1 and 0.3
B.
12.9 and 25.2
C.
-1.3 and 1.3
D.
1.3 and 2.5
Answer: Answer choice C: -1.3 and 1.3.
Step-by-step explanation:
We can start by using the formula for the distance, D, between the two trains as a function of time, T:
D = 55(T + 2.25) - 120T
Simplifying this equation, we get:
D = 55T + 123.75 - 120T
D = -65T + 123.75
To find the two values of T for which D = 40, we can set this equation equal to 40 and solve for T:
40 = -65T + 123.75
-85 = -65T
T = 1.31
Plugging this value back into the original equation, we can see that D is equal to 40:
D = -65(1.31) + 123.75
D = 40.0375
Therefore, one solution is T = 1.31. To find the other solution, we can plug D = 40 into the equation and solve for T:
40 = -65T + 123.75
-83.75 = -65T
T = 1.29
Plugging this value back into the original equation, we can see that D is equal to 40:
D = -65(1.29) + 123.75
D = 40.0375
Therefore, the two values of T for which D = 40 are approximately 1.3 and 1.3, which rounds to answer choice C: -1.3 and 1.3.
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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The figures below are rectangles. What polynomial in standard form represents the area of the shaded region?
Answer:
A
Step-by-step explanation:
(x+5)(x-1)－(x+1)(x-4)=7x-1
PLEASE HELP I DON'T UNDERSTAND THIS!!!!!
Answer:
C. (4, 0)
Step-by-step explanation:
(x, y)
a. (4, 3)
y = 12 - 3x
3 = 12 - 3(4)
3 = 12 - 12
3 = 0 false
b. (-4, 4)
y = 12 - 3x
4 = 12 - 3(-4)
4 = 12 + 12
4 = 24 false
c. (4, 0)
y = 12 - 3x
0 = 12 - 3(4)
0 = 12 - 12
0 = 0 true
d. (0, 4)
y = 12 - 3x
4 = 12 - 3(0)
4 = 12 - 0
4 = 12 false.
Answer: C (4, 0)
Step-by-step explanation:
your function y = 12 - 3x
They are asking which of those points are on the line
(x, y) this is a format of a point where you can plug in x for x and y for y.
a. (4, 3) x=4 y=3 substitute and see if your answer is true
3 = 12 -3(4)
3 = 0 this is not true so (4, 3) is not a solution
b. (-4,4) x= -4 y=4
4 = 12 - 3(-4)
4 = 24 not true
c. (4, 0) x=4 y=0
0 = 12-3(4)
0 = 0 true (4,0) is a solution
d. (0, 4)
4 = 12 - 3 (0)
4=12
Each of the following is a calculated F statistic with its degrees of freedom. Using the F table, estimate the level of significance for each. You can do this by indicating whether its likelihood of occurring is greater than or less than a p level shown on the table. (20pts)
a. F = 4.11, with 3 df between and 30 df within
b. F = 1.12, with 5 df between and 83 df within
c. F = 2.28, with 4 df between and 42 df within
The level of significance based on the information will be:
a. F = 4.11, with 3 df between and 30 df within - < 0.05
b. F = 1.12, with 5 df between and 83 df within - > 0.05
c. F = 2.28, with 4 df between and 42 df within - > 0.05
How to explain the dataThe likelihood of rejecting the null hypothesis when it is true, or the alpha level, is used in statistical tests to evaluate statistical significance.
The significance level, or alpha, for this example is set at 0.05 (5%). This was accurately illustrated above
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can someone help me with number 1 through 4
1. 13 cm
2. 27.2 in
3.24x
4. 7 m
radius is half of the diameter
diameter is twice of the radius so
radius=diameter/2,diameter =2x radius
What is the volume of the following rectangular prism? 3 1/3 1 2/5
Area of rectangular prism: Base x Height.
so 3x1/3x2/5=0.4 0r 2/5
Please help with my question!!!!!!!!
The perimeter of the regular nonagon will be; 840.7 units
The in-radius of the regular nonagon is given as:
Radius, r =17
The perimeter is then calculated by:
P = 18r/Tan(π/9)
Substitute 17 for r;
P = 18(17)/Tan(π/9)
Evaluate the product of 18 and 17;
P = 306/Tan(π/9)
Evaluate the quotient
P = 840.7
Hence, the perimeter of the regular nonagon = 840.7 units
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The sum of two consecutive numbers is
27. Find the two numbers.
Answer: 14 and 14
Step-by-step explanation:
So u would Since 13 and 14 are both consecutive integers and their sum is 27, we have our answer.
Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n.
The three different values of n to demonstrate that 2n + 3n is equivalent to 5n are 1, 4 and 10.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 2n + 3n
On simplifying the equation , we get
A = 5n
when n = 1 , we get
2n + 3n = 2(1) + 3(1) = 2 + 3 = 5
5n = 5(1) = 5
Therefore, both expressions give the same result of 5.
when n = 4 , we get
2n + 3n = 2(4) + 3(4) = 8 + 12 = 20
5n = 5(4) = 20
Again, both expressions give the same result of 20.
when n = 10 , we get
2n + 3n = 2(10) + 3(10) = 20 + 30 = 50
5n = 5(10) = 50
Hence , the equation is solved
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