Answer:2
Step-by-step explanation:
2*4=8
2*25=50
[tex]3\sqrt{6w-288[/tex]
A cylinder used for storing spools of thread has a radius of 2 units and a slant height of √29. What is the height of the cylinder?
PLS HELP ASAP!!(show work if can)
Height of cylinder is 5 units
Define Cylinder
One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry.The volume of the slanted cylinder is V = Base area of cylinder × Height of cylinder⇒ V = (π × radius²) × h
We have given,
Slant height of cylinder = √29
Radius is = 2 units
Now, we to have to calculate the height for that we have the formula
h = √l² - r²
where, l = slant height
r = radius of the circular base
h = height of the cylinder
Now, for the sake of simplicity
h = √l² - r²
h² = l² - r²
Now, plug in the values
h² = (√29)² - 2²
h² = 29 - 4
h² = 25
h = 5
Hence, the height of cylinder is 5 units
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-3+x=7 show me the answer and problem
Answer:
x=10
Step-by-step explanation:
-3+x=7
Add 3 to both sides.
7+3=10
x=10
Answer:
x=10
Step-by-step explanation:
-3+x=7
You have to add 3 to both sides to cancel out the -3
x=10
That leaves you with x=10
In a recipe, for every tablepoon of ugar there are four teapoon of alt. If a batch ue four tablepoon of ugar, how many teapoon of alt doe it ue?
tablepoon of ugar
teapoon of alt 1 4 4
There will be 16 teaspoons of salt is needed for the 4 tablespoons of sugar.
Given, In a recipe, for every tablespoons of sugar there are four teaspoons of salt.
If a batch use four tablespoons of sugar then we have to find the number of tablespoons of salt needed.
as, 1 sugar = 4 salt
4 sugar = 4×4 salt
4 sugar = 16 salt
So, the number of tablespoons of salt needed is 16 for the use of 4 tablespoons of sugar.
Hence, there will be 16 teaspoons of salt is needed for the 4 tablespoons of sugar.
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There is two function equations, f(x)=2x²+3x-4 and h(x)= -x²+8
If the input is f(1)+h(1), how exactly would I solve this
To solve f(1)+h(1) .....
plug in 1 for x in both equations f(x) and h(x):
f(1)=2(1)²+3(1)-4 = 2+3-4 = 1
h(1)= -(1)²+8 = -1+8 = 7
f(1)+h(1) = 1 + 7 = 8
Hope it helps!
The perimeter of this triangle is not more than 30 cm. 2n+3 cm, 2n+2 cm, n cm
a. Write an inequality to show this.
b. Solve the inequality.
c. What are the largest possible lengths of the sides?
The inequality to represent the perimeter of the triangle is given by (2n + 3) + (2n + 2) + n ≤ 30
The solution to the inequality is n ≤ 5 The largest possible lengths of the sides is 13 cmInequality to represent the perimeter of a trianglePerimeter of the triangle = not more than 30 cmSide a = (2n + 3)cmSide b = (2n + 2) cmSide c = n cmSide a + side b + side c ≤ perimeter of the triangle
(2n + 3) + (2n + 2) + n ≤ 30
open parenthesis2n + 3 + 2n + 2 + n ≤ 30
5n + 5 ≤ 30
substract 5 from both sides
5n ≤ 30 - 5
5n ≤ 25
divide both sides by 5n ≤ 25/5
n ≤ 5 cm
The largest possible lengths of the sides is:
Side a = (2n + 3)cm
= 2(5) + 3
= 10 + 3
= 13 cm
Side b = (2n + 2) cm
= 2(5) + 2
= 10 + 2
= 12 cm
Side c = n cm
= 5 cm
So therefore, the largest possible length of the triangle is 13 cm
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Graph the following features:
Y-intercept = -1
Slope = -2
The line that has a slope of -2 and a y-intercept of -1 is shown in the graph below.
What is the Equation of a Line in Slope-intercept Form?An equation of a line in slope-intercept form that is expressed as y = mx + b, can be graphed if we know the value of the slope (m), and the value of the y-intercept (b).
We are given the following:
Slope of a line (m) = -2Y-intercept of the line (b) = -1To write the equation of the line in slope-intercept form, substitute m = -2 and b = -1 into y = mx + b:
y = -2x - 1
This means that the rise/run of the line, which is the slope, to be graphed would be equal to -2 while the line will intercept the y-axis at point -1, because the y-intercept given is -1.
The line with the stated features are shown in the graph below.
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I NEED HELP WITH QUESTION 6!
URGENT!
DUE TODAY!!
90PTS!!!!!! WHOEVER WANTS THEM
Someone please help me with this question
Answer: D
Step-by-step explanation: Proportional relationship = relationships between two variables where their ratios are equivalent. 6:15 is equivalent with both 8:20 and 10:25. So D is the correct answer.
Find the other endpoint with the given endpoint (-5, 1) and midpoint (3, -4)
The other end point with the given endpoint (-5, 1) and midpoint (3, -4) is (11, -9)
What is mid point?A midpoint is a point lying between two points and is in the middle of the line joining the two points.
The mid point formula is represented as follows;
(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)
Let's find the other end point with the given endpoint (-5, 1) and midpoint (3, -4).
Hence,
(3, -4) = (-5 + x₂ / 2, 1 + y₂ / 2)
Therefore,
3 = -5 + x₂ / 2
cross multiply
6 = -5 + x₂
x₂ = 6 + 5
x₂ = 11
-4 = 1 + y₂ / 2
cross multiply
-8 = 1 + y₂
y₂ = -8 - 1
y₂ = - 9
Therefore, the endpoint is (11, -9)
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John needs a total of $100 to buy a birthday present for his friend. He has already saved $35. If he saves $10 a week from his earnings what is the least number of weeks he must work to have enough money to buy the present?
Answer: D) 7
Step-by-step explanation:
First put this into an equation as shown
f(x)=10x
The 10 is for the money he makes and the x is the amount of weeks
then take the 35 dollars he already saved and put it into an equation as shown
35+f(7)
the f(7) is just another way to say y=10(7) (f(x) is just y but fancy lol)
7 is the number of weeks he can work to get 105. It can't be 6 because that would be 95 dollars and it can technically be 8 but the question ask for the least number of weeks.
Hope that helped. It may have been a bit complicated.
Answer:5
Step-by-step explanation:
10x7=70
35+70=105
I need a quick answer please !!!
——————————————————
The diagram (below) shows a game in which you use the pieces at the top to form solid rows at the bottom. Using only translations and rotations, describe the transformations of the pieces at
the top that will form two solid rows at the bottom.
meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow
Does the point (-2, 7) lie on the graph of y=-2x+1?
yes
no
The point (-2,7) is not lie on the graph of y = -2x +1 .
Given,
In the question:
To check the :
Does the point (-2, 7) lie on the graph of y=-2x+1?
Now, According to the question:
The equation is :
y = -2x + 1
Substitute the values of x = -2 and y = 7 into y = -2x +1
7 = -2(-2) + 1
LHS = 7
RHS = -2(-2) + 1 = 5
Write in the form :
7 = 5
Verify the relationship
False
Determine whether the point is on the line:
(-2, 7) not on the graph.
Hence, The point (-2,7) is not lie on the graph of y = -2x +1 .
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please help Write each number as a percent. 1/200
The percent of the number is 0.5% when the number is 1/200.
Given that,
We have to find the percent of the number 1/200.
A percentage is a number or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the symbol "%" or just "percent" or "pct."
Take the number.
1/200
Multiply by 100
1/200×100
We get
1/2
In decimal we get
0.5%
Or
Convert the number to decimal.
1/200= 0.005
Multiply 0.005 by 100 to convert to a percentage.
0.005×100
Simplify
0.5%
Therefore, The percent of the number is 0.5% when the number is 1/200.
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Scott will purchase a new computer on an installment plan. The computer costs $2,300 and requires a 15% down payment.
a.) How much is the down payment?
The value of the down payment for the car is $345.
How to calculate the.dow payment?From the information, Scott will purchase a new computer on an installment plan and the computer costs $2,300 and requires a 15% down payment.
The value of the down payment will be:
= Down payment percentage × Total cost
= 15% × $2300
= 0.15 × $2300
= $345
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Need help im so confused
please and thank you
Answer: It is b
Step-by-step explanation:
Answer: 126.5
Step-by-step explanation:
This is Pythagoras theorem so a² + b² = c²
c² is always the diagonal bit
The soccer field is rectangle and draw the route of the players on and you get the triangle
a = 120
b = 40
c² = a² + b² (square root after)
120² + 40² = 16000
Then square root that to get 126.5
I hoped this helped so please thank and rate :)
PLEASE HELP ME QUICK!!!
Please help will mark brainiest!!!
1.) Rowan graphs the function f (x) = 7x + 1 and then transforms the function by horizontally translating it 5 units to the right. What is the newly transformed function, g (x)?
g(x) = 7(x+5) + 1 is the newly transformed function
How to find the newly transformed function, g (x)?
A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input
Given that: He graphs the function f (x) = 7x + 1 and then transforms the function by horizontally translating it 5 units to the right
To solve this problem, we need to understand the direction of movement. In the cartesian plane or graph, the x-axis is either a movement to the left(negative) or right(positive)
Since the function f (x) = 7x + 1 translates by 5 units to the right. You need to add 5 to x i.e. 7(x+5) + 1
Therefore, the newly transformed function, g (x) = 7(x+5) + 1
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A = LW is the formula for the area of a rectangle.
Solve the formula for W.
a man has extra digits (six fingers on each hand and six toes on each foot). his wife and their daughter have a normal number of digits. having extra digits is a dominant trait. the couple's second child has extra digits. what is the probability that their next (third) child will have extra digits?
The likelihood of their next third child having additional digits of (six fingers on each hand and six toes on each foot) is 1/2.
Define the term dominant traits?A trait is a distinguishing characteristic that a person possesses. Dominant traits are defined as having only one copy of a gene on a chromosome which expresses a specific trait.Individuals exhibit the dominant traits most prominently. Polydactyly is the dominant condition in this case.For the given condition,
The father has six fingers plus six toes, while the mother is still in normal condition. In this particular case, polydactyly is a dominant characteristic. Twelve percent of the couple's children are projected to have additional digits.Because the father has the dominant feature as well as the mother is now in normal condition, there is a 50% chance that this deformity will be passed down to children.
Thus, the likelihood of their next (third) child having additional digits is 1/2.
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How do you solve this? (-7 + i)(-3 + 6i).
After simplification, the solution of the expression (-7 + i)(-3 + 6i) is 15 - 45i.
In the given question we have to solve the given expression.
The given expression is (-7 + i)(-3 + 6i).
Using the distributive property to solve the given expression.
a(b+c)=ab+ac
Now simplifying the expression.
(-7 + i)(-3 + 6i) = -7(-3 + 6i) + i(-3 + 6i)
(-7 + i)(-3 + 6i) = (-7)*(-3) + (-7)*(6i) + (-3)i + (6i)i
(-7 + i)(-3 + 6i) = 21 - 42i - 3i + 6i^2
As we know that i^2 = -1. So
(-7 + i)(-3 + 6i) = 21 - 42i - 3i + 6(-1)
(-7 + i)(-3 + 6i) = 21 - 42i - 3i - 6
Simplifying
(-7 + i)(-3 + 6i) = 15 - 45i
Hence, the solution of the expression (-7 + i)(-3 + 6i) is 15 - 45i.
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find the roots of each expression with rational exponents.
1.27⅓
2.225½
3.49³/²
(please show solution
you can write in on paper)
simplify each expression
For the given expressions the roots with rational exponents are as follow:
a. 27¹/³ = 3
b. 225 ¹/² = 15
c. 49 ³/² = 243
As given in the question,
For the given expressions the roots with rational exponents are as follow:
Solution of each expression is given by:
a. 27¹/³
Prime factors of 27 is equal to 3 × 3 × 3
27¹/³
= ( 3 × 3 × 3 )¹/³
= ( 3³ )¹/³
= 3
b. 225 ¹/²
Prime factors of 225 is equal to 3 × 3× 5× 5
225 ¹/²
= ( 3× 3× 5× 5)¹/²
= ( 15²)¹/²
= 15
c. 49 ³/²
Prime factors of 49 is equal to 7 × 7
49 ³/²
= ( 7 × 7) ³/²
= (7²) ³/²
= 7³
= 343
Therefore, for the given expressions the roots with rational exponents are as follow:
a. 27¹/³ = 3
b. 225 ¹/² = 15
c. 49 ³/² = 243
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Angles RTG and GTU are adjacent angles. If m∠RTG=5.8° and m∠GTU=113.6°, what is m∠RTU in degrees?
If m∠RTG = 5.8° and m∠GTU = 113.6°. Then the measure of the angle ∠RTU will be 119.4°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
Angles RTG and GTU are adjacent angles. If m∠RTG = 5.8° and m∠GTU = 113.6°.
∠RTU = ∠RTG + ∠GTU
∠RTU = 5.8° + 113.6°
∠RTU = 119.4°
The measure of the angle ∠RTU will be 119.4°.
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Show how you would solve the problem.
a^2 (squared) + b^2(squared) = c squared
Using the Pythagorean Theorem and the given values, we can solve for c.
a^2 + b^2 = c^2
12^2 + 16^2 = c^2
144 + 256 = c^2
400 = c^2
√400 = √c^2
c = 20
the numbers 1, 2, 3, 4, 5 are to be arranged in a circle. an arrangement is badbad if it is not true that for every nn from 11 to 1515 one can find a subset of the numbers that appear consecutively on the circle that sum to nn arrangements that differ only by a rotation or a reflection are considered the same. how many different bad arrangements are there?
There are 2 different bad arrangements possible.
We see that there are 5! absolute ways of orchestrating the numbers. Nonetheless, we can constantly turn these numbers so that, for instance, the number 1 is dependably at the highest point of the circle. Consequently, there are just 4! ways under turn, which is easy to drill down. We methodically list out every one of the 24 cases.
Presently, we should inspect assuming they fulfill the circumstances. We can see that by selecting each number, in turn, we can continuously acquire subsets with aggregates 1, 2, 3, 4, and 5. By picking the round trip, we can get 15. By selecting everything aside from 1, 2, 3, 4, and 5, we can get subsets with amounts of 10, 11, 12, 13, and 14.
This implies that we presently just have to check for 6, 7, 8, and 9. Be that as it may, whenever we have found a set adding to 6, we can pick all the other things and get a set adding to 9, and comparably for 7 and 8. Hence, we just have to check each case for whether we can acquire 6 or 7.
We observe that there are just 4 arrangements that fulfill these circumstances. In any case, each of these is an impression of another. We divide by 2 for these reflections to get the final answer of B = 2.
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TR is the angle bisector angle ATS. The m angle RTS = (17x-5) and m angle ATS= (28x + 8). find X
Applying the definition of angle bisector, the value of x is: x = 3.
What is an Angle Bisector?An angle bisector can be defined as a ray or line that divides an angle into two parts that are congruent or equal to each other in measure.
Since TR is the angle bisector that bisects angle ATS, it implies that angle ATS is divided into equal parts.
Given the following:
Measure of angle RTS = (17x - 5)°
Measure of angle ATS = (28x + 8)°
Therefore:
Measure of angle ATS = 2(measure of angle RTS) [definition of angle bisector]
Substitute
28x + 8 = 2(17x - 5)°
28x + 8 = 34x - 10
Combine like terms
28x - 34x = -8 - 10
-6x = -18
Divide both sides by -6
-6x/-6 = -18/-6
x = 3
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Using the figure below, which table correctly lists the steps and reasons used to find the measure of angle d?
Answer:
140
Step-by-step explanation:
140
Can anyone write the equation of the graph?
The function represented by the graph has an equation of f(x) = |x - 3| + 5
How to find the equation of the graph line?From the question, we have the following graph that can be used in our computation:
The graph is an absolute value graph
As a general rule, an absolute value is expressed as
y = |x - h| + k
In this case, the vertex is
Vertex = (h, k)
As a general rule, the vertex of a function is the minimum point on the graph
On the given graph, the minimum point is (3, 5)
This means that
(h, k) = (3, 5)
Substitute the values (h, k) = (3, 5) in the equation y = |x - h| + k
So, we have the following representation
y = |x - 3| + 5
Rewrite the equation as a function
f(x) = |x - 3| + 5
Hence, the equation of the graph represented by the figure is f(x) = |x - 3| + 5
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Two glasses of milk and 3 snack bars have a total of 67 carbohydrates (carbs), and 4 glasses of milk and 2 snack bars have a total of 74 carbs. Determine how many carbs are in one glass of milk and in one snack bar.
William is a trucker. Today, he is hauling refrigerators that weigh 0.16 tons each. His truck
weighs 15 tons when empty. What is the total weight of the truck with 20 refrigerators on it?
Write and solve an equation to find the answer.
tons
4
Answer:
Full truck = 18.2 tons
Step-by-step explanation:
FT = ET + 20R. ET (Empty Truck) = 15t
R (refrigerator) = 0.16t
FT = 15t + 3.2t
FT= 18.2t