Answer:
y = 9
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 15 when x = 5, thus
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{-15}{5}[/tex] = - 3
y = -3x ← equation of variation
When x = - 3, then
y = - 3(- 3) = 9
Please help me asap i will mark branlist
Answer:
slope is -1
Step-by-step explanation:
y1-y2/ x1-x2
= -3 - 7 / 8 - (-2)
= -10/ 10
= -1
Which lines are parallel.!?
I’m confused can someone help me
Answer:
1. This equation of m<a + m<c = m<b - m<c wouldn't be correct unless the measure of angle c was 0. So technically there is no statment to make that equation true.
2. Angle addition postulate.
3. Transitive property of equality.
4. Substitution property.
Step-by-step explanation:
You might want to recheck and see if these are the correct answer they seem to be to me. Im only in 10th grade so i kind of just learned this.
If you have any questions feel free to ask in the comments - Mark
Also when you have the chance please mark me brainliest.
4 in.
10. Jaylon created this
stained-glass window.
The upper two corners are
quarter circles, each with a
radius of 4 inches. Find the
area of the window. Use
3.14 for .
26 in.
12 in. -
Answer:
305.12 square inches
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The area of the window is equal to the area of a rectangle, plus the area of two quarter circles plus the area of the smaller square between the two upper corners
so
Find the area of rectangle
[tex]A=(12)(26-4)=264\ in^2[/tex]
Find the area of the two quarter circle
[tex]A=2[\frac{1}{4}(3.14)(4^2)][/tex]
[tex]A=25.12\ in^2[/tex]
Find the area of the smaller square between the two upper corners
[tex]A=(12-8)(4)=4^2=16\ in^2[/tex]
The total area is equal to
[tex]A=264+25.12+16=305.12\ in^2[/tex]
Jaylon's stained-glass window consists of two quarter circles with a radius of 4 inches each and a rectangle with dimensions 4 inches (height) by approximately 25.12 inches (width). The total area of the stained-glass window is approximately 125.6 square inches.
To find the area of the stained-glass window that Jaylon created, we'll break it down into its constituent shapes: two quarter circles and a rectangle.
Quarter Circles:
Each quarter circle has a radius of 4 inches.
The formula for the area of a quarter circle is (1/4) * π * r^2, where r is the radius.
For each quarter circle:
Area = (1/4) * π * (4)^2
≈ (1/4) * 3.14 * 16
≈ 12.56 square inches (rounded to two decimal places).
Since there are two quarter circles, the total area contributed by the quarter circles is:
Total Area of Quarter Circles = 2 * 12.56
≈ 25.12 square inches.
Rectangle:
The rectangle's height is the same as the radius of the quarter circles, which is 4 inches.
The width of the rectangle can be found by calculating the circumference of a circle with a radius of 4 inches (since it will form the other two sides of the rectangle).
The circumference of a circle is given by 2 * π * r.
So, the width of the rectangle is:
Width = 2 * π * 4
≈ 25.12 inches.
Area of the rectangle:
Area = length * width
≈ 4 * 25.12
≈ 100.48 square inches.
Total Area:
The total area of the stained-glass window is the sum of the areas of the quarter circles and the rectangle:
Total Area = Area of Quarter Circles + Area of Rectangle
≈ 25.12 + 100.48
≈ 125.6 square inches.
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PLEASE HELP !!!!!!
I’LL GIVE BRAINIEST !!!!!
I NEED THE ANSWER ASAP !!!!
Answer:
okay ik the answer
Step-by-step explanation:
up ur butt and to the left
lol jk the answer is
the possibly is 15% since their is a bunch
Answer:
8/15
Step-by-step explanation:
there are 75 tickets in both the baskets and she put a total of 40 tickets into both baskets. that makes 40/75 wich reduces down to 8/15
. Given the below sequence:
-1, -3, -5, -7, . . .
(a) What are the next 3 terms?
(b) Is this an arithmetic or geometric sequence?
(c) Why (how do you know it is arithmetic or geometric)?
(d) How would you find the 27th term?
a) The next three terms are -9, -11, and -13
b) This is an arithmetic sequence
c) An arithmetic sequence is when the difference between one term and the next remains constant
d) We can make the equation y=-2x+1 where x is the term number, then we plug in 27 for x and solve for y
y=-2(27)+1
y=-54+1
y=-53
Hope this helped, and please mark as brainliest!
A social media account password includes a number from 0 to 9, an uppercase letter, a lowercase letter, and a special character, in that order.
a. There are 223,080 password combinations. How many special characters are there?
b.What is the probability of guessing the account password if you know the number and uppercase letter, but forget the rest? Express your answer as a fraction in the simplest form.
The probability is _____
.
A. There are 33 special characters.
B. The probability of guessing the password under the given circumstances is 1 out of 858 combinations.
Step-by-step explanation:
Step 1; First we need to determine all the possible values that can come in each space of the password.
From 0 to 9, there are a total of 10 values.
For uppercase letters, there are a total of 26 values from A, B, C, D ...Z
For lower case letters, there are also a total of 26 values from a, b, c, d ...z.
So out of these three characters, we have a total of 10 × 26 × 26 = 6,760 different combinations.
If there are 223,080 password combinations we need to divide this by 6,760 to calculate the possible values of the special characters.
6,760 × Number of possible special characters = 223,080,
Number of special characters = [tex]\frac{223,080}{6,760}[/tex] = 33. So there are 33 special characters.
Step 2; If the number and uppercase values are known then the various lowercase letters and special characters are the unknown values.
The number of possible combinations = number of lowercase letters × number of special characters = 26 × 33 = 858.
So the probability of guessing the password is 1 out of 858 combinations.
(a) There are 216,320 special characters in the password combinations.
(b) The probability of guessing the account password with knowledge of the number and uppercase letter, but not the rest, is [tex]\(\frac{320}{11}\)[/tex].
Let's solve each part of the problem:
(a) Number of Special Characters:
Given that there are 223,080 password combinations and the special character comes last, it means there are 10 possible numbers (0-9), 26 possible uppercase letters, and 26 possible lowercase letters, leaving the remaining positions for special characters. Therefore, the number of special characters is:
[tex]\[ \text{Number of special characters} = 223,080 - (10 \times 26 \times 26) = 223,080 - 6760 = {216,320} \][/tex]word:
If you know the number and uppercase letter but forget the rest, you only need to guess the lowercase letter and special character. The total number of possible lowercase letters is 26, and the total number of possible special characters is 216,320 (calculated in part a).
Therefore, the probability of guessing the account password is:
[tex]\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{26 \times 216,320}{223,080} \]\[ \text{Probability} = \frac{6,387,520}{223,080}[/tex]
=320/11
The graph shown is a scatterplot which point on the scatterplot is an outliner??Help
Answer:
d
Step-by-step explanation:
I need someone to help me on this Solve -17<-195-r
Answer:
r > -178
Step-by-step explanation:
Solving the equations means to find what "r" can be for the equation to be true.
If the sign < confuses you, you can always write = then change it back.
To find "r", we need to isolate it. To do this, we move "r" to the left side, and every other number to the right side. When you move something to the other side, remember you need to do the reverse operation on both sides.
I want to move -195 first. The opposite is +195.
-17 < -195 - r
-17 + 195< -195 + 195- r Add 195 to both sides. 195 cancels out on the right
-17 + 195 < -r Simplify left right by add 195 to -17
178 < -r The opposite of multiply by -1 is divide by -1.
178/-1 < -r/-1 Divide both sides by -1.
178/-1 < r "r" is isolated now. Simplify left side
-178 < r Answer is found. Put variable on left side. Remember the keep the open side of the symbol facing "r".
r > -178 The solution is when "r" is greater than -178.
Complete the square to determine the minimum or maximum value of the function defined by the expression.
x2 + 4x + 3
A) maximum value at 1
B) minimum value at 1
C) maximum value at −1
D) minimum value at −1
The minimum value at -1 ⇒ D
Step-by-step explanation:
The completing square form of ax² + bx + c is a(x - h)² + k, where
[tex]h=\frac{-b}{2a}[/tex] k is the value of of the expression when x = hk is minimum if a > 0 and maximum if a < 0∵ The expression is x² + 4x + 3
∴ a = 1 , b = 4 , c = 3
- Use the rule above to find h
∵ [tex]h=\frac{-4}{2(1)}[/tex]
∴ h = -2
- To find k substitute x by the value of h
∵ k = (-2)² + 4(-2) + 3 = 4 - 8 + 3
∴ k = -1
- Substitute h and k in the form of the completing square
∵ a(x - h)² + k = 1(x - -2)² + (-1)
∴ a(x - h)² + k = (x + 2)² - 1
∴ x² + 4x + 3 = (x + 2)² - 1
∵ The completing square is (x + 2)² - 1
∵ a = 1 ⇒ greater than zero
∴ The value is minimum
- The minimum value is the value of k
∵ k = -1
∴ The minimum value of the function is -1
The minimum value at -1
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write in scientific notation: 0.0042
A) 42 x 10^-2
B) 4.2 x 10^-4
C)4.2 x 10^-3
D).42 x 10^-4
---------------------------------------------------
write in standard notation:6.12 x 10^3
A)6120
B)612
C) 61,200
D)61.2
Answer:
Scientific Notation:
4.2 × 10^-3
E-Notation:
4.2e-3
Engineering Notation:
4.2 × 10^-3
Real Number:
0.0042
______________________________
6120
Step-by-step explanation:
A 13 ounce box of cereal cost $3.99. What is the unit price per pound?
The unit price per pound is $4.91.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
A 13 ounce box of cereal cost $3.99.
Also, 0.8125 pound of cereal cost $3.99.
So, the unit price
= 3.99 / 0.8125
= $4.91
Thus, the unit price is $4.91.
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Final answer:
To calculate the unit price per pound of a 13-ounce box of cereal costing $3.99, convert ounces to pounds and divide the cost by the weight in pounds, resulting in approximately $4.91 per pound.
Explanation:
To calculate the unit price per pound of a cereal box that weighs 13 ounces and costs $3.99, first convert the weight from ounces to pounds. Since there are 16 ounces in a pound, we calculate the weight of the cereal in pounds by dividing 13 ounces by 16 ounces/pound, which gives us 0.8125 pounds.
Next, we find the unit price per pound by dividing the total cost by the weight of the cereal in pounds. Therefore, the unit price is $3.99 divided by 0.8125 pounds which equals approximately $4.91 per pound (when rounded to two decimal places).
What is the equation of the line that passes through the point 7,-3 and has a slope of -5
Answer:
Y=-5x+32
Step-by-step explanation:
So you would plug in (7,-3) into y=mx+b. Solve the problem and you get -3=-35+b. So b would equal 32 because -35+32 is -3
how many factors does 5 times a number have?
Final answer:
The number of factors of 5 times a number depends on the prime factorization of that number. If the second number, 'n', is prime, the product has exactly four factors. However, if 'n' is composite, the number of factors would be the product of the incremented exponents of its prime factors.
Explanation:
The question is asking about the number of factors of a product that involves the number 5 and an unspecified number, let's call it 'n'. So we are looking at the number 5n. The number of factors a product has is related to the prime factorization of that product. The prime factorization of 5 is simple since 5 is a prime number itself. If 'n' is also a prime number, then 5n would have four factors: 1, 5, n, and 5n. However, if 'n' is composite, its prime factorization would need to be considered in finding the total number of factors. To count the factors, you would multiply the exponents of the prime factors, each incremented by one. For example, if n is a prime number, its exponent is 1, and 5's exponent would also be 1, so (1+1)*(1+1) gives us a total of 4 factors.
Which expression is equivalent to (3m^-1n^2)^4/(2m^-2n)^3? Assume M does not equal 0 and does not equal 0.
Answer:
[tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex] [tex]=\frac{81m^{2}n^{5}}{8}[/tex]
Step-by-step explanation:
[tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]
[tex]=\frac{(3^4m^{-4}n^8)}{2^3m^{-6}n^3}[/tex]
[tex]=\frac{(3^4m^{-4+6}n^{8-3})}{2^3}[/tex]
[tex]=\frac{3^4m^{2}n^{5}}{2^3}[/tex]
[tex]=\frac{81m^{2}n^{5}}{8}[/tex]
In a group of 120 seventh graders. 30% have completed their science project. How many students have completed their science project.
Answer: 36
Step-by-step explanation:
120 students is the same as 100%, so you would divide 120 by 100 and your quotient would be 1.2 Then you multiply 30 by 1.2, since you would multiply 100 by 1.2 to get 120. 30×1.2=36. So 36 seventh graders have completed their science project.
Tito purchase 11 tickets to a baseball game for 374 dollars. About how much did one ticket cost?
Answer:
34 for one ticket
Step-by-step explanation:
374 ÷ 11 = 34
divide by the amount of tickets they bought by the amount of money spent
Delta pays Pete Rose $360 per day in the maintenance department at air port. Pete became I'll Monday and went home after 1/5 of a day. What did he earn on monday?
Answer:
$72 earned on monday
Step-by-step explanation:
Delta pays Pete Rose $360 per day in the maintenance department at air port. Pete became I'll Monday and went home after 1/5 of a day
Delta works for only 1/5 of the day
To get the amount earn , multiply the work done by the rate
[tex]\frac{1}{5} \cdot 360 =72[/tex]
So $72 earned on monday
Pete Rose earns $360 per full day of work. On Monday, he worked for 1/5 of the day before becoming ill. By calculating 1/5 of his daily rate, we find that Pete earned $72 for that day.
Explanation:The student's question is about calculating Pete's earnings for the part of the day he worked before he became ill. Since Pete earns $360 for a full day, we want to find out what he earns for 1/5 of that day, as 1/5 of the day is the amount of time he worked before going home.
Step-by-Step CalculationFirst, determine Pete's daily earnings, which is given as $360.Since Pete worked only 1/5 of the day, we multiply his daily earnings by the fraction of the day worked, which is 1/5.This calculation is done by dividing the daily earnings by 5: $360 ÷ 5.The result is $72, which is the amount Pete earned for the part of the day he worked.Therefore, on Monday, Pete earned $72.
Three cylinders have a height of 8 cm. Cylinder 1 has a radius of 1 cm. Cylinder 2 has a radius of 2 cm. Cylinder 3 has a radius of 3 cm. Find the volume of each cylinder.
Answer:
Step-by-step explanation:
The volume formula for a cylinder is B*h
B : the area of the base
h : the height
Cylinder 1
The volume is 8pi
Cylinder 2
The volume is 32pi
Cylinder 3
The volume is 72pi
Answer:
Cylinder 1: V = 8π
Cylinder 2: V = 32π
Cylinder 3: V = 72π
Step-by-step explanation:
The volume of the cylinder of radius r and height h is calculated using the form: V = π r² h
Cylinder 1: r = 1 cm and h = 8 cm
Volume of Cylinder 1 = π r² h = π 1² * 8 = 8π
Cylinder 2: r = 2 cm and h = 8 cm
Volume of Cylinder 2 = π r² h = π 2² * 8 = π * 4 * 8 = 32π
Cylinder 3: r = 3 cm and h = 8 cm
Volume of Cylinder 1 = π r² h = π 3² * 8 = π * 9 * 8 = 72π
For the sequence of even natural numbers 6,8,10,12,... find a13, the 13th term.
A) 36
B)30
C) 32
D) 34
b
Step-by-step explanation:
the pattern goes by 2s so you do 13 times 2 plus 4 which would be your 0th term because six is your first term so you add 4 and 26 you get 30 and it is not 33 because that is the 14th term
Which expression represent the sum of (2x - 5y) and (x + y)
Answer:
3x - 4y
Step-by-step explanation:
sum means addition so:
(2x - 5y) + (x + y) =
2x + x = 3x
-5y + y = -4y
put those two answers together and you get 3x - 4y
Answer:
(A) 3x - 4y
Step-by-step explanation:
consider the polynomial equation x(x-3)(x+6)(x-7)=0 which of following are zeros in the equation?
Answer:
x=0,3,-6,7
Step-by-step explanation:
set each factor equal to zero and then solve for x.
The zeroes of the polynomial are 0, 3, -6 and 7.
What is Polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
We have the polynomial in form
x(x-3)(x+6)(x-7)=0
As, we can see the polynomial is of degree 4.
Also, the polynomial is in the form of factors.
Now, to find the zeros of the polynomial we compare each factor to 0.
x= 0
x -3 = 0
x= 3
and, x + 6= 0
x = -6
and, x -7 = 0
x = 7
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Find the equation of the line with a slope m= -1/2 that contains the point (2,-4)
Step-by-step explanation:
Equation of line in slope point form is given as:
[tex]y-y_1 =m(x-x_1) \\ \\ \therefore \: y - ( - 4) = - \frac{1}{2} (x - 2) \\ \\ \therefore \: y + 4= - \frac{1}{2} x + \frac{1}{2} \times 2 \\ \\ \therefore \: y + 4= - \frac{1}{2} x + 1 \\ \\ \therefore \: y + 4 - 1= - \frac{1}{2} x \\ \\ \therefore \: y + 3= - \frac{1}{2} x \\ \\ \therefore \: 2y + 6= - x \\ \\ \huge \purple{ \boxed{\therefore \: x + 2y + 6= 0}} \\ is \: the \: required \: equation \: of \: line.[/tex]
Need help ASAP please
The value of angle W, written as m∠W is 78
How to obtain m∠W?
First, we shall determine m∠Y. Details below:
m∠XYZ = 137m∠Y =?m∠XYZ + m∠Y = 180 (straight line angle)
137 + m∠Y = 180
Collect like terms
m∠Y = 180 - 137
m∠Y = 43
Finally, we shall determine the value of m∠W. This is shown below:
m∠X = 59m∠Y = 43m∠W =?m∠X + m∠Y + m∠W = 180
59 + 43 + m∠W = 180
102 + m∠W = 180
Collect like terms
m∠W = 180 - 102
m∠W = 78
helppppppppppppppppppppppp
GF = 11, GE = 28, HF = 14, [tex]DG=5\sqrt3[/tex]
Solution:
Given data:
DE = 11, GH = 14
In rectangle, opposite sides are equal.
DE = GF
GF = 11
Property of a rectangle:
The diagonals of a rectangle are equal in length and they bisect each other.
Half of diagonal GE = GH = 14
GE = 2 × GH
= 2 × 14
GE = 28
HF is also a half of the diagonal DF.
By property of a rectangle, GH = HF
HF = 14
Diagonal of a rectangle formula:
[tex]D=\sqrt{\text{length}^2+\text{breadth}^2}[/tex]
[tex]14=\sqrt{DG^2+11^2}[/tex]
Squaring on both sides, we get
[tex]196={DG^2+121}[/tex]
[tex]{DG^2=196-121}[/tex]
[tex]{DG^2=75}[/tex]
Taking square root on both sides, we get
[tex]DG=5\sqrt3[/tex]
Hence GF = 11, GE = 28, HF = 14, [tex]DG=5\sqrt3[/tex].
PLZ HELP I WILL GIVE BRAINLIEAST FOR FIRST LEGIT ANSWER!!
Rectangle PQRS is rotated 90° clockwise about the origin.
Answer:
R' (-4,1)
Step-by-step explanation:
Since the current coordinates is (-1, -4) and when rotating clock wise it would put into the second quadrant, which would mean the points would flip and the sign for the Y coordinate would change.
Answer:
i think the answer is A R' (4, -1)
Does the bowling ball have more potential energy or kinetic energy just before it hits the ground
Yo sup??
Since you haven't mentioned the reference potential therefore we will consider it to be ground.
Since just before hitting the ground there is negligible amount of kinetic energy and also the velocity is very high hence we can say that it will have more kinetic energy than potential energy.
Hope this helps.
Simplify the expression. 6m + 10 - 10m
Answer:
I believe the answer is 10 - 4m.
Step-by-step explanation:
6m + 10 - 10m
-10m + 6m = -4m
10 - 4m
On simplifying the expression. 6m + 10 - 10m we get, 10 - 4m.
Given : 6m + 10 - 10m
How to simplify expression?To simplify any linear expression followings are the steps:-
Firstly remove grouping symbol i.e. brackets or parentheses after multiplying factors.Then we use the exponent rule to remove groups if any term contains exponents.Then we also merge the same term by the help of addition or subtraction.Last term combine the constantOn simplifying we get,
[tex]\rm =6m + 10 - 10m\\-10m + 6m = -4m\\=10 - 4m[/tex]
Therefore, For the expression. 6m + 10 - 10m we get, 10 - 4m.
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Find the roots and simplify the expression.
216^1/3 - 125^1/3
Answer:
1
Step-by-step explanation:
The first thing to simplify is the Exponent
If The Exponent is a fraction than the denominator of the fraction will be the power of the root and the numerator will be the power of the expression
It will be in the form
[tex] \sqrt[a]{ {x}^{b} }[/tex]
Where a is the denominator and b is the numerator of the fraction
The first expression 216^1/3 will be
[tex] \sqrt[3]{{216}^{1} } [/tex]
6×6×6=216 so the expression = 6
The second expression 125^1/3 will be
[tex] \sqrt[3]{ {125}^{1} } [/tex]
5×5×5=125 so the expression =5
216^1/3 - 125^1/3
6 - 5
1
Twice a day cameron's cat eats 4 ounces of dry cat food and 3 ounces of wet cat food. Dry food comes in a 5-pound bag. Wet food comes in 6-ounce cans. How many cans of wet food should he buy to feed his cat for a week?
Cameron should buy 7 cans of wet food to feed his cat for a week.
Explanation:To calculate the number of cans of wet food Cameron should buy to feed his cat for a week, we need to first determine the amount of dry food and wet food consumed daily. Cameron's cat eats 4 ounces of dry food and 3 ounces of wet food twice a day, so it consumes a total of 8 ounces of dry food and 6 ounces of wet food per day.
Next, we need to calculate the total amount of wet food consumed in a week. Since there are 7 days in a week, the cat would consume 7 times 6 ounces, which is 42 ounces of wet food in a week.
Now, we need to determine how many cans of wet food Cameron should buy. Each can of wet food contains 6 ounces, so to find the number of cans, we divide the total amount of wet food (42 ounces) by the weight of each can (6 ounces). Therefore, Cameron should buy 7 cans of wet food to feed his cat for a week.
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