The greatest common factor of 350 and 825 is:
a) 2
b) 25
c) 10
d) 35
Answers
Answer:
D
Step-by-step explanation:
Both 825 and 350 have a common factor of 35!
Related Questions
Name an angle supplementary to AOB
PLS HELP ASAP ILL MARK U BRAINLEST
Answers
Answer:
I believe its DOB, I'm sorry if I'm wrong
Step-by-step explanation:
Solve for angles x and y in the triangle below. Round your angle to the nearest whole degree.
Solve for both x and y
Answers
\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)
Make sure your calculator is in Degree mode.
Equation A
Х
Y
-2
6
2
1
0
2
-2
-9
Equation B
х
Y
-2
-1
-6
0
-3
1
0
What is the solution to this system of equations?
0 (-1,-5)
0 (0,2)
O (-2, 6)
O (1,0)
Answers
its c
Step-by-step explanation:
what two numbers add to 6 and multiply to -5?
Answers
Then the answer is -2 and -3
An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
Answers
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
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Explain what operation should be to used to solve the equation 3.5n=10.5. what is the value of n? Enter your explanation and answer in the box provided
Answers
Answer:
n = 3
Step-by-step explanation:
1) Divide both sides by 3.5
n = 10.5/3.5
2) Simplify 10.5/3.5 to 3
n = 3
-2x + 7y = 20
x + 7y = 32
Answers
Answer:
(4,4)
Step-by-step explanation:
1) Using substitution: move 7y to the other side by subtraction
x = 32 - 7y
2) substitute in for x in the first equation
-2(32 - 7y) + 7y = 20
3) distribute
-64 + 14y + 7y = 20
4) add like terms and solve for y
21y = 84
y = 4
5) plug in y value of for in one of the eqautions to get x value
-2x + 7(4) = 20
x = 4
Which fraction is shown by point D?
A. 1/3
B. 1/4
C. 3/3
D. 3/4
Answers
Answer:
C
Step-by-step explanation:
Hope dis helps
A local medical center has advertised that the mean wait for services will be less than 15 minutes. Given this claim, the hypothesis test for the population mean should be a one-tailed test with the rejection region in the lower (left-hand) tail of the sampling distribution. TRUE or FALSE and WHY?
Answers
It is true that the hypothesis test for the population mean must be a one-tailed test having the rejection region in the lower tail, which is on the left hand of the sampling distribution.
A one-tailed test is basically a hypothesis test which help us to test whether the given sample mean would be higher or will be lower than the population mean. The rejection region is basically the area for which the null hypothesis is rejected.
When we perform a left tailed test for our hypothesis, that is the lower tail hypothesis, then the rejection region will lie in the left tail after the critical value and since in the given question, the mean wait for the services will be less than 15 minutes, we will have to perform a one-tailed rest which has a rejection region present in the lower left hand tail.
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Does this graph represent a function
A. No, because it fails the vertical line test.
B. Yes, because it is a curved line.
C. No, because it is not a straight line.
D. Yes, because it passes the vertical line test.
Answers
Answer:
Step-by-step explanation:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
no,because it falls the vertical line test
Plz help I need help
Answers
Answer:
What do you need help with mate?
Step-by-step explanation:
you don't have a question posted.
very quick please!!! An artist’s canvas has sides measuring 3x – 3 and 4x + 1 inches. What is the area of the canvas? Show all work. The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 4t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= πr². What is the area of the circle created by the paint? If the artist wants the circle to be at least 1300 in², will it be that large in 5 minutes? Support your answer with your work.
Answers
The area of the canvas is given by (3x - 3) * (4x + 1). The area of the circle created by the paint is A[r(t)] = 16πt². Substituting t = 5 into A[r(t)], we get A[r(5)] = 400π. Since we don't have an exact value for π, we approximate it as 3.14. The approximate area is 1256 in², which is less than 1300 in², so the circle will not be that large in 5 minutes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x - 3) * (4x + 1)
= 12x² - 9x + 4x - 3
= 12x² - 5x - 3
To find the area of the circle created by the paint, we substitute the given expression for r(t) into the formula A[r(t)]= πr²:
A[r(t)] = π(4t)²
= π(16t²)
= 16πt²
To determine if the area of the circle will be at least 1300 in² in 5 minutes, we substitute t = 5 into the formula:
A[r(5)] = 16π(5)²
= 400π
Since we don't have an exact value for π, we cannot determine the exact area. However, we can approximate it using an approximation for π, such as 3.14:
A[r(5)] ≈ 400(3.14)
≈ 1256
The approximate area is 1256 in², which is less than 1300 in². Therefore, the circle will not be that large in 5 minutes.
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Which figures have rotation symmetry
Answers
A form possesses rotational symmetry, often referred to as radial symmetry, when it maintains its appearance following a partial turn rotation. The right answer is D.
Rotational Symmetry: What Is It?A form possesses rotational symmetry, often referred to as radial symmetry, when it maintains its appearance following a partial turn rotation.
The number of alternative orientations in which an object can seem exactly the same for each revolution is the degree of rotational symmetry of that object.
Because of rotational symmetry, the figure should maintain its original appearance even when rotated. So a rhombus is the shape that exhibits rotational symmetry. So, D is the right answer.
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Find the length of side x to the nearest tenth.
Answers
Given:-
A right angled triangle is given to us .Two angles are 60° and 30° , longest side is x and another side is "2" .To find:-
The value of x .Answer:-
In the given right angled triangle, we may use the trigonometric ratios. We can see that the measure of the longest side is "x" which is hypotenuse and it needs to be find out. The perpendicular in this case is "2" .
We may use the ratio of sine here as , we know that in any right angled triangle,
\(\implies\sin\theta =\dfrac{p}{h} \\\)
And here , p = 2 and h = x , so on substituting the respective values, we have;
\(\implies \sin\theta = \dfrac{2}{x} \\\)
Again here angle is 60° . So , we have;
\(\implies \sin60^o =\dfrac{2}{x} \\\)
The measure of sin45° is √3/2 , so on substituting this we have;
\(\implies \dfrac{\sqrt3}{2}=\dfrac{2}{x} \\\)
\(\implies x =\dfrac{2\cdot 2}{\sqrt3}\\\)
Value of √3 is approximately 1.732 . So we have;
\(\implies x =\dfrac{4}{1.732} \\\)
\(\implies \underline{\underline{\red{\quad x = 2.31\quad }}}\\\)
Hence the value of x is 2.31 .
Answer:
The length of side x to the nearest tenth is 2.3.
Step-by-step explanation:
From inspection of the given right triangle, we can see that the interior angles are 30°, 60° and 90°. Therefore, this triangle is a 30-60-90 triangle.
A 30-60-90 triangle is a special right triangle where the measures of its sides are in the ratio 1 : √3 : 2. Therefore, the formula for the ratio of the sides is b: b√3 : 2b where:
b is the shortest side opposite the 30° angle.b√3 is the side opposite the 60° angle.2b is the longest side (hypotenuse) opposite the right angle.We have been given the side opposite the 60° angle, so:
\(\implies b\sqrt{3}=2\)
Solve for b by dividing both sides of the equation by √3:
\(\implies b=\dfrac{2}{\sqrt{3}}\)
The side labelled "x" is the hypotenuse, so:
\(\implies x=2b\)
Substitute the found value of b into the equation for x:
\(\implies x=2 \cdot \dfrac{2}{\sqrt{3}}\)
\(\implies x=\dfrac{4}{\sqrt{3}}\)
\(\implies x=2.30940107...\)
\(\implies x=2.3\; \sf (nearest\;tenth)\)
Therefore, the length of side x to the nearest tenth is 2.3.
the intersection of the two legs of the right triangle and the red segment is the _________ of the triangle shown
Answers
Answer:
b median
Step-by-step explanation:
Answer:
orthocenter
Step-by-step explanation:
The red segment is an altitude of the triangle, as are the two legs. The intersection point of the altitudes is the orthocenter.
__
This is basically a vocabulary question.
altitude - the perpendicular segment from a vertex to the opposite side (or its extension)median - the segment joining a vertex with the midpoint of the opposite sidecentroid - the point where medians meetorthocenter - the point where altitudes meetPlease help me with this.
Answers
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
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PLEASE HELP ME I’m Stuck on this
Answers
Answer:
Correct answer is option A.
Step-by-step explanation:
Please refer the attachment above
Hope it helps you.
Carson wants to solve this system of equations.
y=x^2+5x−6
y=x−1
Use the drop-down menus to complete the explanation of why Carson’s work cannot be used to find the solution of the system of equations.
Answers
Carson's work is correct for solving the equations.
Given that;
Carson wants to solve this system of equations.
y = x² + 5x − 6
y = x − 1
Now, We can solve first equation as;
y = x² + 5x - 6
y = x² + 5x - 6 = 0
⇒ x = - 5 ± √5² - 4×1×- 6 / 2
⇒ x = - 5 ± √25 + 24 / 2
⇒ x = - 5 ± √49 / 2
⇒ x = - 5 ± 7/2
⇒ x = - 5 + 7 / 2
⇒ x = 2/2
⇒ x = 1
⇒ x = - 5 - 7 / 2
⇒ x = - 12 / 2
⇒ x = - 6
Hence, From (ii);
⇒ y = x - 1
At x = 1;
y = 1 - 1
y = 0
At x = - 6;
y = - 6 - 1
y = - 7
Hence, Carson's work is correct.
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What is the equation of the linear function represented by the table?
X Y
-5. 14
-2. 11
1. 8
4. 5
O y=-x+9
O y= -x+13
O y= x+13
O y=x+9
Answers
Answer:
the linear function is y= -x+9
Need help with these
Answers
Answer:
a. 0.07
b. 0.17
c. 0.333
d. 0.417
#18 *
C) Assessment Practice
18. Last month you spent $30. This month you spent 140% of what you spent
last month. Set up a proportion to model this situation. How much did you
spend this month?
Your answer
Answers
Answer: You spent $42 this month.
Step-by-step explanation:
\(\frac{x}{30} = \frac{140}{100}\) solve by cross product
100x = 4200
x= 42
A chef has 8 brands of hot sauce. In how many ways can the chef pick 3 to mix into a gumbo?
Answers
How to get that answer:
If order mattered, then there would be 8*7*6 = 336 different permutations of sauces. I started with 8 and counted down by 1 until three slots were filled.
That 336 value would be the answer if order mattered; however, it does not matter. For any grouping of three, there are 3*2*1 = 6 ways to order that specific group. This indicates the 336 is too large by a factor of 6.
To fix this, we divide by 6 and we get 336/6 = 56
There are 56 ways to pick the 3 brands from the 8 overall brands to choose from.
Select the correct answer from the drop-down menu.
A company sells its product to distributors in boxes of 10 units each. Its profits can be modeled by this equation, where p is the profit after selling
n boxes.
p = n² + 300n + 100,000
Use this equation to complete the statement.
The company breaks even, meaning the profits are $0, only when it sells
Reset
Next
boxes.
Answers
Answer:
Step-by-step explanation:
The company breaks even, meaning the profits are $0, only when it sells 10,000 boxes.
Help me fast
P(Green Pod) =
Please answer fast please
Answers
Answer:
You are finding how much of each there is like
Step-by-step explanation:
Green=8
White=5
purple=9
If this does not help im sorry
What is the ratio of clocks to tables?
5 tables
6 clocks
6:5
5:6
5:10
6:10
Answers
Answer:
6:5
Step-by-step explanation:
This is because its asking for clocks (6) to tables (5).
Hope this helps!
What is the measure of DE?
A. 40
B. 39
c. 41
D. 37
Answers
Answer: 37
Step-by-step explanation:
on my mom
In a wood there are 420 silver birch trees 130 oak trees and 210 wild cherry trees. What percentage of the trees are oak trees? Give your answer to 1 dp
Answers
Answer:
17.1%
Step-by-step explanation:
To find the percentage of oak trees in the wood, divide the number of oak trees by the total number of trees (sum of all tree types), and then multiply by 100 to express it as a percentage:
\(\begin{aligned}\textsf{Percentage of oak trees}&= \dfrac{\textsf{Number of oak trees}}{\textsf{Total number of trees}} \times 100\\\\&= \dfrac{130}{420+130+210} \times 100\\\\&= \dfrac{130}{760} \times 100\\\\&=0.171052631... \times 100\\\\&=17.1\%\; \sf (1\;d.p.)\end{aligned}\)
Therefore, approximately 17.1% of the trees in the wood are oak trees.
Answer:
17.1%
Step-by-step explanation:
In order to calculate the percentage of trees that are oak trees, we can use the following formula:
\(\textsf{Percentage of oak trees }=\dfrac{\textsf{ Number of oak trees }}{\textsf{total number of trees} }\cdot 100\% \)
We know that the number of oak trees is 130 and the total number of trees is 420 + 130 + 210 = 760.
Substituting these values into the formula, we get:
\(\textsf{Percentage of oak trees }=\dfrac{130}{760}\cdot 100\% \\\\ = 0.1710 \cdot 100\% \\\\ \approx 17.1 \% \textsf{( in 1 d.p.)}\)
Therefore, 17.1% of the trees in the wood are oak trees.
why is angle 3 congruent to angle
explain why
Answers
Answer:
Angle 3 is = to angle 2 because:
Angle 3 & angle 7 are corresponding angles, meaning they have the same measure.
Angle 7 & angle 2 are vertical angles, meaning they also have the same measure.
Therefore, if angle 7 is equal to angle 3, then angle 2 must also be equal to angle 3.
Hope this helps! Have a great day!
Preform the indictated operation
15-12
Answers
Answer:
3
Step-by-step explanation:
15 - 12 = 3
12 + 3 = 15
15 - 3 = 12
Hey! I am stuck on this question anyone mind helping me? and tysm for the people who helped me! <3 have a nice day!
Answers
Answer: 166 2/3m
Step-by-step explanation:
Area of a rectangle = length times width
Length: 16 2/3
To find the width, multiply it by 3/5.
w = 16 2/3 · 3/5
w = 10
Then, multiply the length by the width.
a = l · w
a = 16 2/3 · 10
a = 166 2/3m