can someone please help me with this
Answer:
-36, 4
Step-by-step explanation:
r/6 < -6
Multiply both sides by 6
r < -36
4r + 2 > 18
Subtract 2 from both sides
4r > 16
Divide both sides by 4
r > 4
Consider similar figures QRS and TUV below where QRS is the pre-image of TUV
What is the scale factor?
Answer:
The scale factor is 2.5 to 1 which is 1/2.5
Step-by-step explanation:
Here, we want to get the scale factor in the given image
The scale factor we want to get is from the big to the small triangle
To get this, we find the ratio of the sides which are the same
Thus, we have ;
7/2.8 = 2.5
So the scale factor in this case is 2.5 to 1
Which equation is the inverse of y=x^2 + 4?
Answer:
y = √(x - 4)
Step-by-step explanation:
To find the inverse, simply swap x and y in your equation, then solve for in terms of y. Keep in mind that this isn't the true inverse of y = x² + 4 because y = √(x - 4) has a restricted domain.
Answer:
B. y = √(x - 4)
Step-by-step explanation:
Edge 2020 2021
6 1 pound is equal to 454 grams. How many grams are in 3.5 pounds?
Answer:
1587.57 grams
Step-by-step explanation:
1 pound = 453.592 grams.
so multipy that by 3.5
What is the slope of the line?
Answer:
up 1 over 3
Step-by-step explanation:
anyone know the answer?
Answer:
The answer is 3.
19+17=36.
36/12=3.
1. Which of the following expressions are equivalent to? Select all that apply. A. 31 . 36 B. 31 . 35 C. 3-2 . 3-4 D. 32 . 3-8 E. 3 • 3-6 F.3-1 . 3-5
Answer: A and C
Step-by-step explanation:
Based on information from a large insurance company, 68% of all damage liability claims are made by single people under the age of 25. A random sample of 53 claims showed that 41 were made by single people under the age of 25. Does this indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company? State the null and alternate hypothesis.
No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.
Hypothesis
Null hypothesis : H0: p = 0.68
Alternative hypothesis : Ha: p > 0.68
A random sample of 53 claims showed that 41 were made by single people under the age of 25.
Thus; p^ = 41/53 = 0.7736
The test statistic is
z = (p^ - p_o)/√(p_o(1 - p_o)/n)
z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)
z = 0.0936/0.07285
z = 1.28
The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;
P(z > 1.28) = 0.100273
The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.
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valerie is wrapping a box with wrapping paper. the volume of the box is 476.16 cubic inches, and the length and width of the box are 4.8 inches and 8 inches respectively. how much wrapping paper is needed to cover the box? show work.
A. 599.04 square inches
B. 711.68 square inches
C. 238.08 square inches
D. 394.24 square inches
The surface area and volume of wrappings needed to completely wrap the rectangular box equal \(394.24\) square inches.
What does a liquid's volume mean?Volume is essentially just a measurement of space. Liters (L) and microliters (mL) are the units used to measure a liquid's volume, which is often referred to as capacity. Erlenmeyer, beakers, and graduated cylinders are among the tools used for this measurement.
How much water is there?Total water volume refers to the overall volume of water utilized in large volume horizontal hydraulic fracking activities, including produced water, recycled water, surface water, and groundwater.
Given the following:
\(Volume = 476.16\) cubic inches
\(Length = 4.8\) inches
\(Width = 8\) inches
Find the height \((h)\) using the volume formula:
\(476.16 = 4.8 * 8 * h\)
\(476.16 = 38.4 * h\)
\(476.16/38.4 = h\)
\(h = 12.4\) inches
Surface area \(= 2(wl + hl + hw) = 2(8 * 4.8 + 12.4 * 4.8 + 12.4 * 8) = 394.24\)
The amount of wrapping paper needed to cover the rectangular box \(=\) Surface area \(394.24\) square inches
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Can you tell which 3-D shape this would make?A. coneB. cylinderC. doesn't fold to make a 3-D shapeD. cylindrical prism
This looks like it would be a cylinder
We have two circles on the top and the bottom. If we were to fold these backwards, we would get the circular bases of a cylinder
In the middle, we have a rectangle. If we folded this in a circular fashion around the circlular bases, we would get the long part of a cylinder
Because of this, the shape in its 3D form would be a cylinder
Choose the polynomial that is written in standard form.
a. x + 4x5 + 10x3
b. x4 + 4x2 + 8x
c. −9x4 + 4x6 + 10x2
d. x4 + 4x4 + x6
Answer:
b. x^4 + 4x^2 + 8x
Step-by-step explanation:
I took the test. Also the exponents need to be in descending order in order for the equation to be in standard form.
So b, starts with an exponent of 4, the decreased to just the x variable with an understood exponent.
Decreasing -> 4,2,(1)
Hope this helps :)
Answer:
B
Step-by-step explanation: took the test
find 3 values of x and y that satisfy the equation y = 3x - 2
Answer:
x = 1, y = 1
x = -2, y = -8
x = 3, y = 7
Step-by-step explanation:
Put the steps in order for solving a linear system graphically
The correct steps are shown below
1) Write each equation in a form that is easy to graph, many students prefer slope-intercept form
2) Graph the equations as accurate as possible
3) Look at the graph and see where the lines intersect
4) Check the solution algebraically by substituting the answer into both equations
The option is 1234
Determine if the problem is done correctly AND explain your reasoning. If the problem is correct then explain the steps that were taken. If the problem is incorrect then explain what the mistake made was and what the correct solution should be. 1) Divide using the reverse tabular method: x - x? - 8x + 12 x + 3 x 4x 4 34 x² - 4x²/4x -X² 4341-12x 12 -12 - 8x Х 3 2. x?-4x+4
the answer is correct
we have to check that if we operate the numbers that are inside the box we get the numerator
\(x^3+3x^2-4x^2-12x+4x+12\)\(x^3+x^2-8x+12\)Gabriella needs 120120 meters of fence to surround a rectangular garden. The length of the garden is three times its width, ww. How wide is the fence?.
The rectangular garden's width is 15 units, and Gabriella needs 120 meters of fence to enclose it.
The perimeter of a rectangle is the length of its side boundaries. A rectangle's perimeter is equal to twice the product of its length and width.
\(P=2(l+w)\)
In this case, the rectangle's length is (l) and its width is (w).
Assume for a moment that the garden is l units long. The garden is three times longer than it is wide, w. Thus,
\(l=3w\)
Gabriella requires 120 meters of fencing to enclose a square garden. The perimeter of the rectangular garden is the same height as this fence. Thus,
\(P=2(l+w)\\120=2(l+w)\)
Add this equation with the length value from equation 1.
\(120=2(3w+w)\\3w+w=\frac{120}{2} \\4w=60\\w=\frac{60}{4} \\w=15\)
Gabriella needs 120 meters of fence to enclose the rectangular garden, which has a width of 15 units.
The complete question is:-
Gabriella needs 120 meters of fence to surround a rectangular garden. The length of the garden is three times its width, w. How wide is the fence?
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Will give brainlist if correct. Solve the system. Nearest tenth accepted.
Answer:
The variable y should equal 5 2/5 or 5.4 as a decimal.
Step-by-step explanation:
The variable x equals 1 so we can replace x in the equation y = 2/5x + 5 with 1.
y = 2/5(1) + 5
This is our new equation. Any number multiplied by 1 will equal itself so in this case, 2/5 times 1 equals 2/5 or 0.4 in decimal form. Now we can add 2/5 or 0.4 to 5 and we will get 5 2/5 or 5.4. Now we will only have y = 5 2/5 or 5/4 in the equation and this is where we will stop solving for y. In conclusion, y equals 5 2/5 or 5.4. I hope this helps! If this answer is wrong, please give me some feedback on what I did wrong! Thank you!
it cost $0.60 for a 12 ounce can of beans how much does it cost per ounce ?
Answer:
0.05
Step-by-step explanation:
Answer:
it cost 5 cents every ounce
Step-by-step explanation:
0.60 = 12
0.05 = 1
Which equation best represents c, the total amount Mr. Thomas should be charged
for driving m miles?
Answer:
c = 0.15m + 45
Step-by-step explanation:
Generally, we have the equation of a straight line as;
y = mx + b
where m is the slope and b is the y-intercept
To get the value of m, we can use the slope equation
m = (y2-y1)/(x2-x1)
Let us select two points to use from the table
we have;
(40,51) and (20,48)
So substituting these values;
m = (48-51)/(20-40) = 0.15
So we have the partially completed equation as;
y = 0.15x + b
To get the value of b, we use any of the points
Using the last, we have
51 = 0.15(40) + b
b = 45
So we have the complete equation as;
y = 0.15x + 45
using the terms in the question, we have;
c = 0.15m + 45
Problem Four. Find the spherical coordinates of the point with rectangular coordinates (2√2, -2√/2, -4√2). small loop of
The spherical coordinates of the point with rectangular coordinates (2√2, -2√/2, -4√2) are (r, θ, ϕ) = (√42, -π/4, 116.57°). Hence, option (B) is correct.
To solve this problem, we are required to convert rectangular coordinates to spherical coordinates.
The given rectangular coordinates are (2√2, -2√/2, -4√2).
Rectangular coordinates to spherical coordinates conversion
As per the formula of spherical coordinates,r = √(x² + y² + z²)θ = tan⁻¹(y/x)ϕ = cos⁻¹(z/√(x² + y² + z²))
Let's calculate the spherical coordinates of the given rectangular coordinates:
Given rectangular coordinates are x = 2√2, y = -2√/2, and z = -4√2.
Thus, we have r = √(x² + y² + z²)
Here, r = √(2√2)² + (-2√/2)² + (-4√2)²r = √8 + 2 + 32r = √42
Now, we have θ = tan⁻¹(y/x)
Here, θ = tan⁻¹(-1/√2)θ = -π/4
Now, we have ϕ = cos⁻¹(z/√(x² + y² + z²))
Here, ϕ = cos⁻¹(-4√2/√42)ϕ = cos⁻¹(-2/√42)ϕ = 116.57°
So, the spherical coordinates of the point with rectangular coordinates (2√2, -2√/2, -4√2) are (r, θ, ϕ) = (√42, -π/4, 116.57°).
Hence, option (B) is correct.
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Hello, I really need help this is from ALEKS and I forgot how to solve this. What is 2/3 + 1/5?
Answer:
13/15
Step-by-step explanation:
1. Find a common denominator
2. You always multiply the numerator by the same number as the denominator.
3. then add
Kalie pays $9.24 for 11 pounds of flour. What is the price per pound of flour?
Answer:
$0.84, 84 cents per pound.
Step-by-step explanation:
I hope that this helps. Have a good day!!
9.24 ÷ 11 = 0.84
If you send ppl links- I hope your phone can only charge at an angle
Anyways my discord is rosexlyn#6833 so add me hœs
Answer:
nah
Step-by-step explanation:
1.) through: (3,0), parallel to y=2/3x+1
2.) through: (4,1), parallel to y=-1/2x+2
3.) through: (-1,-1), parallel to y=-2x-4
4.) through: (-4,-5), parallel to y=-2x-5
5.) through: (-4,3), parallel to y=1/2x-3
6.) through: (5,-5), parallel to y=-3/2x+2
Step-by-step explanation:
Hey there!
1.no Ans:
The equation of a st.line passing through point (3,0) is;
(y-0) = m1(x-3)........(i)
Another equation is,
y = 2/3x+1...........(ii)
Comparing the equation (ii) with y= mx+c. We get;
Slope (m2)= 2/3
As they are parallel lines, m1=m2.
So, putting value of m1 in equation (i).
\(y = \frac{2}{3} (x - 3)\)
\(y = \frac{2}{3} x - 3 \times \frac{2}{3} \)
Therefore the required equation is; y = 2/3x -2.
2.Ans:
The equation of a st.line passing through (4,1) is;
(y-1) = m1(x-4)...........(i)
y = -1/2x +2...............(ii)
From equation (ii)
y = -1/2x+2
Comparing the equation with y = mx+c
Slope (m2)= -1/2
As they are equal m1=m2= -1/2
Putting value of slope in equation (i)
\((y - 1) = \frac{ - 1}{2} (x + 2)\)
\(2(y - 1) = - 1(x + 2)\)
\(2y - 2 = - x - 2\)
\(x + 2y = 0\)
Therefore the required equation is; x+2y=0.
3. no. Ans:
The equation of a st.line passing through point (-1,-1) is ;
(y+1)= m1(x+1)..........(i)
y= -2x-4.....................(ii)
From equation (ii)
Comparing the equation with y = mx+c.
Slope(m2)= -2
As they are parallel lines, m1=m2 = -2.
Putting value of slope in equation (i)
\((y + 1) = - 2(x + 1)\)
\(y + 1 = - 2x - 2\)
\(2x + y + 3 = 0\)
Therefore the required equation is 2x+y+3=0.
4.no Ans:
The equation of a st.line passing through (-4,-5) is;
(y+5) = m1(x+4)..........(i)
y = -2x-5...............(ii)
From equation (ii)
Comparing the equation with y = mx+c, we get;
Slope (m2)= -2
As they are parallel lines, m1=m2= -2
Putting value of slope in equation (i)
\((y + 5) = - 2(x + 4)\)
\(y + 5 = - 2x - 8\)
\(2x + y + 13 = 0\)
Therefore the required equation is 2x+y+13=0.
5.no Ans:
The equation of a st.line passing through (-4,3) is:
(y-3)= m1(x+4).........(i)
y = 1/2x-3.......(ii)
From equation (ii)
Comparing the equation with y= mx+c.
Slope (m2) = 1/2
As they are parallel lines, m1=m2 = 1/2.
Putting value of slope in equation (i)
\((y - 3) = \frac{1}{2} (x + 4)\)
\(2(y - 3) = x + 4\)
\(2y - 6 = x + 4\)
\(x - 2y + 10 = 0\)
Therefore the required equation is; x-2y+10=0.
6.no. Ans;
The equation of a st.line passing through (5,-5) is;
(y+5)= m1(x-5)............(i)
y = -3/2x+2......(ii)
Comparing the equation (ii) with y = mx+c.
Slope(m2)= -3/2.
As they are parallel lines, m1=m2= -3/2.
Putting value of slope in equation (i)
\((y + 5) = \frac{ - 3}{2} (x - 5)\)
\(2(y + 5) = - 3(x - 5)\)
\(2y + 10 = - 3x + 15\)
\(3x + 2y - 5 = 0\)
Therefore the required equation is; 3x+2y-5=0.
Hope it helps...
What is the slope of
(-1,5) (2,-7)
\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}}\implies \cfrac{-12}{2+1}\implies \cfrac{-12}{3}\implies -4\)
the number sentence 4*6=6*4 is an example of what property
The number sentence 4 x 6=6x4 is part of the commutative property of multiplication. This is because since the equation is reversed, it shows that the results will still be the same.
......hope it helps you..all the best
Answer:
Commutative of Multiplication
Step-by-step explanation:
In commutative of multiplication, we can swap the numbers and still get the same product.
A container releases fuel at a rate of 5 gallons per second. If y represents the amount of fuel remaining in the container and x represents the number of seconds that have passed since the fuel started dispensing, then x and y satisfy a linear relationship. If the tank begins with 103 gallons, how many gallons will remain after 2 seconds?
By evaluating a linear equation, we will see that after two seconds there are 93 gallons of fuel.
How many gallons will remain after two seconds?We know that the tank initially has 103 galons of fuel, and we know that it releases 5 gallons per second at a constant rate.
So, after x seconds, the amount of fuel inside the container is:
F(x) = 103 - x*5
so we have a linear equation.
The amount of fuel in the tank after 2 seconds is given by:
F(2)= 103 - 2*5 = 103 - 10 = 93
After 2 seconds there are 93 gallons of fuel.
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Solve for x
-18x +21 > -15
OR
20x-13>27
Choose 1 answer:
Answer:
x<2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x < 2 the answer your welcome
One cup of skim milk contains 8 grams of protein. How many centigrams of protein are in 3d fluid ounces of milk?
As per the given measurement the centigrams of protein are in 3d fluid ounces of milk is 8504.86
The term measurement id known as the process of associating numbers with physical quantities and phenomena.
Here we know that one cup of skim milk contains 8 grams of protein.
Now, we have to find the amount of centigrams of protein are in 3d fluid ounces of milk.
As we all know that one ounce is equal to 2834.9553.
Then if we want the centigram value, then we have to multiply the number with 2834.9553, then we get the result as,
=> 3 x 2834.95
=> 8504.86
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Hello people ~
Factorise: x^2 + 7x + 12
Step-by-step explanation:
x^2 + (4+3)X + 12
x^2 + 4x + 3X + 12
X (X + 4) + 3 ( X + 4)
( X + 3) (X +4)
Solving steps:
\(\sf \rightarrow x^2\:+\:7x\:+\:12\)
breakdown the following
\(\sf \rightarrow x^2\:+\:3x + 4x\:+\:12\)
break the expressions into groups
\(\sf \rightarrow \left(x^2+3x\right)+\left(4x+12\right)\)
factor the following
\(\rightarrow \sf x\left(x+3\right)+4\left(x+3\right)\)
factor the common term: (x+3)
\(\rightarrow \sf \left(x+3\right)\left(x+4\right)\)
in how many ways can 345 be written as the sum of an increasing sequence of two or more consecutive positive integers? (a) 1 (b) 3 (c) 5 (d) 6 (e) 7
There is only one way 345 can be written as the sum of an increasing sequence of two or more consecutive positive integers. The correct answer is A) 1.
To find the number of ways 345 can be written as the sum of an increasing sequence of two or more consecutive positive integers, we need to consider the factors of 345.
First, let's find the prime factorization of 345: 345 = 3 * 5 * 23.
Now, let's focus on factor 23. Since the sequence needs to have at least two consecutive positive integers, the smallest possible sequence would be 23 and 24. We can see that any larger sequence would have a sum greater than 345.
Therefore, the only possible way to write 345 as the sum of an increasing sequence of two or more consecutive positive integers is 23 + 24.
Hence, the answer is option (a) 1.
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