Answer:
A= 6
Step-by-step explanation:
Eli runs 5 meters per second.
On a coordinate plane, a line goes through points (1, 5) and (2, 10)..
Use the graph to identify the independent and the dependent variable. Check all that apply.
The two variables are Eli and 5.
The two variables are meters and seconds.
Meters are graphed on the x-axis.
Meters are graphed on the y-axis.
Seconds is the independent variable.
Seconds is the dependent variable.
Answer:
the two variables are meters and seconds,. meters are graphed on the y- axis, seconds is the independent variable....2,4,5
Answer:
right answer lol
Step-by-step explanation:
A line has a slope of
3/2
and a y-intercept of
4/5
Which of the following is an equation of the line?
Answer:
The answer is 15x - 10y = -8
What is the TOTAL amount in his account after 2 years
Answer:
900000000000000
Step-by-step explanation:
The volume of a right circular cone with both
2507
diameter and height equal to his What is the
3
value of h?
A) 5
B) 10
C) 20
D) 40
Question:
The volume of a right circular cone with both diameter and height equal to h is 250/7 cm³.
What is the value of h?
Answer:
A. 5
Step-by-step explanation:
Given
Solid Shape: Cone
Volume = 250/7
Diameter = Height
Required
Find the height of the cone
Provided that the diameter (D) and the height (h) are equal; This implies that
D = h ------ (1)
Also, Diameter (D) = 2 * Radius (r)
D = 2r
Substitute 2r for D in (1)
2r = h
Multiply both sides by ½
½ * 2r = ½ * h
r = ½h
Volume of a cone is calculated by;
Volume = ⅓πr²h
⅓πr²h = 250/7
Substitute ½h for r
\(\frac{1}{3} * \pi * (\frac{1}{2}h)^2 * h = \frac{250}{7}\)
Take π as 22/7, the expression becomes
\(\frac{1}{3} * \frac{22}{7} * (\frac{1}{2}h)^2 * h = \frac{250}{7}\)
Open the bracket
\(\frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7}\)
Multiply both sides by 7
\(7 * \frac{1}{3} * \frac{22}{7} * \frac{1}{4}h^2 * h = \frac{250}{7} * 7\)
\(\frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250\)
Multiply both sides by 3
\(3 * \frac{1}{3} * 22 * \frac{1}{4}h^2 * h = 250 * 3\)
\(22 * \frac{1}{4}h^2 * h = 750\)
Multiply both sides by 4
\(4 * 22 * \frac{1}{4}h^2 * h = 750 * 4\)
\(22 * h^2 * h = 3000\)
\(22 * h^3 = 3000\)
Divide both sides by 22
\(h^3 = \frac{3000}{22}\)
\(h^3 = 136.36\)
Take cube root of both sides
\(h = \sqrt[3]{136.36}\)
\(h = 5.15\)
\(h = 5\) (Approximated)
Fifteen percent of an employee’s taxable income is collected each paycheck. Before taxes are removed from each paycheck, $350 of tax-exempt expenses is taken out.
If the variable x represents the employee’s pay before tax-exempt expenses and taxes are removed, which expression represents the employee’s take-home pay after these deductions?
Answer:
0.85(x - 350)
Step-by-step explanation:
x - This is the employees salary before tax exempts
$350 - This is the amount of tax exempted from the employers salary
Income left after tax exempt expenses have been deducted = (x - 350)
If 15% of taxed income is collected, the remaining income would be - 100% - 15% = 85%
85% / 100 = 0.85
Therefore, the remaining salary that the employees take home is 0.85(x - 350)
What is the congressional decision to fund an authorized program with a specific sum of money called? Supply and demand Financing Authorization Appropriation
The congressional decision to fund an authorized program with a specific sum of money is called an appropriation.Appropriations play a significant role in shaping government spending and implementing policies and programs.
An appropriation refers to the act of setting aside a specific amount of funds by Congress for a particular purpose or program. It is a legislative action that determines the amount of money allocated to support authorized activities or initiatives. When Congress passes an appropriation bill, it authorizes the expenditure of funds for specific programs or agencies. This decision is crucial in the budgeting process, as it determines the financial resources available for various government programs and ensures that authorized activities receive the necessary funding.
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Find the unit rate
5 calculators cost $180
Mowed 6 yards for $30
10 chocolate bars cost $17
5 movie tickets cost $35
$19 for 5 books
200 bagels in 2 hours
56 people can ride the Ferris Wheel in 4 hours
5 cans of green beans for $3.20
3 pounds of bananas for $3.06
4 tickets to the movies costs $36
pure maths
A(1;2)and b(6;3)and c(6;1)
Answer:jusk click that the answer is there i hope its correct correct me if im wrong
Step-by-step explanation:
A study is designed to test the effects of location (island vs. mainland) and squirrels (present or absent) on the cone sizes of lodgepole pines. Which of the following interaction plots is consistent with this combination of main effects and interactions? A main effect of location is present. A main effect of squirrels is present. An interaction between squirrels and location is present.
The interaction plot consistent with the combination of main effects and interactions described is Plot D, which shows an interaction between squirrels and location.
An interaction occurs when the effect of one independent variable (in this case, squirrels) on the dependent variable (cone sizes) depends on the level of another independent variable (location).
Based on the given information, we have the following main effects and interactions:
1. Main effect of location: This means that the location (island vs. mainland) has an independent effect on cone sizes. It suggests that there is a difference in cone sizes between the two locations.
2. Main effect of squirrels: This means that the presence or absence of squirrels has an independent effect on cone sizes. It suggests that the presence of squirrels may influence cone sizes.
3. Interaction between squirrels and location: This means that the effect of squirrels on cone sizes depends on the location. In other words, the presence or absence of squirrels may have a different impact on cone sizes depending on whether the trees are on an island or the mainland.
Among the given interaction plots, Plot D is consistent with these main effects and interactions. It shows that the effect of squirrels on cone sizes differs between the island and mainland locations, indicating an interaction between squirrels and location.
Therefore, Plot D is the interaction plot that aligns with the combination of main effects and interactions described in the question.
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A set of dolls is made so that the volume,V of each of them varies directly as the cube of its height h. The doll with a height of 3cm has a volume of 6.75 cm³.
A) find an equation for V in terms of H.
B) find the volume of a doll with a height of 2.5cm
Answer:
A v=2.25 H=1
b. 5.625
Step-by-step explanation:
Answer:
V = 3.90625 cm³
Step-by-step explanation:
Given that V varies directly as h³ then the equation relating them is
V = kh³ ← k is the constant of variation
To find k use the condition
V = 6.75 when h = 3 , then
6.75 = k × 3³ = 27k ( divide both sides by 27 )
0.25 = k
V = 0.25h³ ← equation of variation
(b)
When h = 2.5 , then
V = 0.25 × 2.5³ = 3.90625 cm³
write the hypotheses to test if the success rate for art at this clinic is significantly higher than the success rate reported by the cdc.
In contrast to the CDC's reported success rate, the success rate for art at this clinic is substantially greater.
what is null hypothesis ?A claim or assumption that there is no statistically significant difference between two populations or sets of data is known as the null hypothesis. It serves as the beginning point for statistical hypothesis testing and is typically indicated as H0. According to the null hypothesis, any observed difference between the populations or data sets is the result of sampling error or random chance rather than a genuine difference.
given
The success rate for art at this clinic is not statistically different from the CDC's claimed success rate.
In contrast to the CDC's reported success rate, the success rate for art at this clinic is substantially greater.
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(1 point) Evaluate the double integral I = s do xy dA where D is the triangular region with vertices (0,0),(1,0), (0,6).
To evaluate the double integral I = ∬D xy dA, where D is the triangular region with vertices (0,0),(1,0), (0,6), we need to set up the limits of integration for x and y.
Since D is a triangular region, we can integrate over the two sides that meet at the origin and then integrate over the third side. Let's integrate over the sides that form the right angle at (0,0).
For the side along the x-axis, y = 0 to y = 6x.
For the side along the y-axis, x = 0 to x = 1.
Thus, the double integral becomes:
I = ∫0^1 ∫0⁶x xy dy dx
Evaluating the inner integral with respect to y, we get:
I = ∫0^1 [x(y²/2)]0⁶x dx
Simplifying and evaluating the outer integral with respect to x, we get:
I = ∫0^1 18x⁴ dx
I = 18/5
Therefore, the value of the double integral I = ∬D xy dA over the triangular region with vertices (0,0),(1,0), (0,6) is 18/5.
To evaluate the double integral I = ∬_D xy dA for the triangular region D with vertices (0,0), (1,0), and (0,6), we first need to set up the limits of integration.
The base of the triangle lies on the x-axis, from x = 0 to x = 1. The height of the triangle lies on the y-axis, from y = 0 to the line y = 6(1-x), since the slope of the hypotenuse is -6 and passes through (1,0).
Now we can set up the integral:
I = ∬_D xy dA = ∫_(0 to 1) ∫_(0 to 6(1-x)) xy dy dx
Let's first integrate with respect to y:
∫_(0 to 6(1-x)) xy dy = [x(y²)/2]_(0 to 6(1-x)) = 18x(1-x)²
Next, integrate with respect to x:
I = ∫_(0 to 1) 18x(1-x)² dx
Using integration by substitution or expanding and integrating term by term, we get:
I = 2
So, the value of the double integral is 2.
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Price of Gasoline The average retail price of gasoline (all types) for the first half of 2005 was $212.2 cents. What would the standard deviation have to be in order for a 10% probability that a gallon of gas costs less than $1.80? Round -value calculations to two decimal places and final answer to the nearest cent.
Probability that a gallon of gasoline costs less than $1.80.To calculate the standard deviation for a 10% probability that a gallon of gasoline costs less than $1.80, we need to use the z-score formula. The z-score represents how many standard deviations away from the mean a specific value is. In this case, the mean price of gasoline is $2.122, and we want to find the standard deviation for the price of $1.80.
First, we need to find the z-score corresponding to a 10% probability. Using a standard normal distribution table, we find that a z-score of approximately -1.28 corresponds to a 10% probability.
Now, we can set up the z-score formula:
z = (X - μ) / σ
where z is the z-score, X is the specific value, μ is the mean, and σ is the standard deviation.
Plug in the values:
-1.28 = ($1.80 - $2.122) / σ
Solve for σ:
σ = ($1.80 - $2.122) / -1.28
σ ≈ 0.252
Rounding to the nearest cent, the standard deviation would have to be approximately $0.25 for a 10% probability that a gallon of gasoline costs less than $1.80.
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The sign of the leading coefficient for the polynomial equation of the graph is . This graph has turning point(s). Possible degrees for this graph include: 4 5 6 7
Answer:
negative
1
4,6
Step-by-step explanation:
Answer:
A&C
Step-by-step explanation:
A ladder leans against a wall inside a spaceship. From the point of view of a person on the ship, the base of the ladder is 2.70 m from the wall, and the top of the ladder is 5.13 m above the floor. The spaceship moves past the Earth with a speed of 0.85c in a direction parallel to the floor of the ship. Find the angle the ladder makes with the floor, as seen by an observer on Earth.
Angle of the ladder with the floor is 74.5°.
We have given that,
base of the ladder from the wall, x₀ = 2.70 m
top of the ladder above the floor y = 5.13 m
speed of the spaceship = 0.85 c
and we have to find the angle ladder makes with the floor, θ.
From the given information we will construct a diagram.
From the diagram,
tanθ = y/x₀
tanθ = y / x₀√(1- V^2 / c^2)
we will substitute all the values,
tanθ = 5.13 / 2.70√(1-((0.85c)^2 / c^2))
= 5.13 / 2.70√(1-(0.85^2))
= 5.13 / 2.70√(1 - 0.7225)
= 5.13 / 2.70√0.2775
= 5.13 / 1.4223
tanθ = 3.606
θ = tan⁻¹(3.606)
θ = 74.5°
Therefore angle the ladder makes with the floor is 74.5°.
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Factorise Fully:
21b-3b^2
See attachment for math work and answer.
The diagram shows ten identical squares inside a rectangle.
length-
15 cm
The width of the rectangle is 15 cm.
Work out the length of the rectangle.
Optional working
Answer: length =
+
cm
Please attached a diagram drawn with MS Word based on the question parameters, and from a diagram from a similar question.
The length of the rectangle that contains 10 identical squares and has a width of 15 centimeters is 21 centimeters
What is a square?A square is a quadrilateral that has four sides of the same length and the the four interior angles are each equal to 90°.
Some parts of the question appear missing, please find attached the design of a rectangle based on a similar GCSE question online. The width of the rectangle = 15 cm
The number of squares = 10
The number of squares that make up the width from the drawing = 5
The number of squares that make up the length of the rectangle are more than the number that makes up the width.The side length of the square is therefore; 15 cm ÷ 5 = 3 cm
The number of squares that make up the length of the rectangle = 7
The length of the rectangle is therefore, L = 7 × 3 cm = 21 cm
The length of the rectangle = 21 centimeters
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If f(x) = -5x – 11 and g(x) = 30x + 24, find x when f(x) = g(x)
Answer
When f(x) = g(x), x = -1
Explanation
We are given that
f(x) = -5x - 11
g(x) = 30x + 24
We are then asked to fing the value of x when f(x) = g(x)
When f(x) = g(x),
-5x - 11 = 30x + 24
-5x - 30x = 24 + 11
-35x = 35
Divide both sides by -35
(-35x/-35) = (35/-35)
x = -1
Hope this Helps!!!
For which of these numbers would you most likely count rather than subitize?
A. 0
B. 1
C. 3
D. 5
A and B are typically subitized, which means that they can be immediately recognized without counting. C and D are more likely to be counted.
Counting is the process of determining the number of items in a set by successively adding one. Subitizing, on the other hand, is the ability to immediately recognize the number of items in a small set without counting. The capacity for subitizing is limited to small sets typically ranging from 1 to 5 items, depending on the individual's age and mathematical ability. The answer to this question would be option C, 3. For most individuals, recognizing the number of items in a set of 3 would require counting rather than subitizing, as 3 is at the upper limit of the typical range for subitizing.
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Which description below describes the equation:
x/4 = 55
A. The number of mugs that fit four to a box
B. Fifty-five mugs, which will go in four boxes
C. If each box holds four mugs then there are fifty mugs
D. The number of mugs when four are broken
Answer:
B
Step-by-step explanation:
you have four cups that put 55 in it
The number 15 is the geometric mean of 25 and what other number?
Answer:
9
Step-by-step explanation:
PLEASE HELP
Find the slope of the line passing through
the points (-3,-3) and (5. 5) using the
slope formula.
Answer:
slope = 1
Step-by-step explanation:
-3 | -3
5 | 5
_____
8 | 8
8/8= 1
What is the volume of the cube that has 7.5cm?
22.5 cm³
56.25 cm³
168.75 cm²
7.5 cm
421.875 cm³
\({ \boxed{ \orange{ \sf{421.875 \: {cm}^{3}}}}} \)
Step-by-step explanation:-
\({ \red{ \sf{Volume \: of \: the \: cube }}} = { \green{ \sf{ {a}^{3}}}} \)
\({ \red{ \sf{Volume \: of \: the \: cube } = }} \: \: { \green{ \sf{7.5 \times 7.5 \times 7.5}}}\)
\({ \red{ \sf{Volume \: of \: the \: cube = { \green{ \sf{56.25 \times 7.5}}}}}}\)
\({ \boxed{ \sf{Volume \: of \: the \: cube = 421.875 {cm}^{3}}}} \)
The perimeter of a rectangular field is 354 yards. If the width of the field is 78 yards, what is its length?
Answer:
99
Step-by-step explanation:
Answer:
The length is 138 yards.
Step-by-step explanation:
354 - 78 = 276
276/2 = 138
QUICK!! I need help please.
A bicyclist goes 45.5 miles in 3.5 hours. What is her speed?
Answer:
13 mph
Step-by-step explanation:
45.5/3.5 = 13
Answer:
13 mph
Step-by-step explanation:
divide 45.5 by 3.5 to get 13 mph
Solve this system of equations byusing the elimination method.2x + 4y = 16-2x – 3y = -6([?], [])The ordered pair of solutionsis written in the format (x, y).
Given:
\(\begin{gathered} 2x\text{ + 4y = 16} \\ -2x\text{ - 3y = -6} \end{gathered}\)Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient
Since the leading coefficient of x of the two equations are the same number, we can skip this part
Step 2: Add the second equation to the first.
\(\begin{gathered} (2x\text{ + 4y})\text{ + }(-2x\text{ -3y})\text{ = 16 +}(\text{- 6}) \\ 2x\text{ - 2x + 4y - 3y = 16 -6} \\ y\text{ = 10} \end{gathered}\)Step 3: Substitute the value of y into any of the equation and solve for x
\(\begin{gathered} 2x\text{ + 4y = 16} \\ 2x\text{ + 4}\times10\text{ = 16} \\ 2x\text{ + 40 = 16} \\ Collect\text{ like terms} \\ 2x\text{ = 16- 40} \\ 2x\text{ = -24} \\ Divide\text{ both sides by 2} \\ x\text{ = -12} \end{gathered}\)Hence, the ordered pair of solution is (-12, 10)
El granjero George está pintando 3 gallineros. Empezó a pintar esta mañana. Para esta tarde solo le falta pintar
1 3/4 de los gallineros
¿Cuántos gallineros pintó el granjero George esta mañana?
Answer:
1 1/4
Step-by-step explanation:
3 - 1 = 2
2 - 3/4 = 1 1/4
Unit 10: Circles Homework 6: Tangent Lines (Can I please have this rounded to the nearest tenth Thank You)
A tangent line is a straight line that intersects a circle at only one point, and it is perpendicular to the radius that goes through that point.
Tangent lines are important because they help us determine the relationship between circles and other geometric shapes.
To find the tangent line to a circle, we need to first identify the point of intersection between the circle and the line.
A tangent line to a circle is a line that intersects the circle at exactly one point, called the point of tangency. The tangent line is perpendicular to the radius that intersects the point of tangency.
m = \(\frac{-1}{r}\)
where m is the slope of the tangent line, and r is the radius of the circle.
The equation of a tangent line to a circle can be found using the point-slope form of the equation:
y - y1 = m(x - x1)
where (x1, y1) is the point of tangency and m is the slope of the tangent line.
The length of the tangent segment from the point of tangency to the point of intersection with a secant line can be found using the formula:
\(t^2\) = s1 * s2
where t is the length of the tangent segment, and s1 and s2 are the lengths of the two segments of the secant line that intersect the circle.
In terms of calculating the tangent line, we can use the point-slope formula.
Let's say we have a circle with equation \(x^2\) + \(y^2\) = \(r^2\) and we want to find the tangent line at the point (a,b).
We can start by taking the derivative of the equation with respect to x, which gives us 2x + 2yy' = 0.
Solving for y', we get y' = -x/y.
Then, we substitute the values of x and y at the point of intersection (a,b) to get the slope of the radius at that point.
Finally, we take the negative reciprocal of that slope to get the slope of the tangent line, and use the point-slope formula to find the equation of the tangent line.
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lim x→−7 7 − |x| 7 + x
The limit as x approaches -7 of the expression 7 - |x| / (7 + x) is -14/0, which is undefined.
When evaluating the limit as x approaches -7, we consider the left-hand limit and the right-hand limit separately.
For the left-hand limit, as x approaches -7 from the left (x < -7), the absolute value of x, denoted as |x|, becomes -(x), since x is negative. Thus, the expression simplifies to 7 - (-x) / (7 + x), which can be rewritten as 7 + x / (7 + x). As x approaches -7 from the left, the denominator (7 + x) approaches 0, and the numerator (x) also approaches 0. Therefore, the left-hand limit is 0/0, which is an indeterminate form.
For the right-hand limit, as x approaches -7 from the right (x > -7), the absolute value of x, denoted as |x|, becomes x itself, as x is positive or zero. Thus, the expression remains as 7 - |x| / (7 + x), which simplifies to 7 - x / (7 + x). As x approaches -7 from the right, the denominator (7 + x) approaches 0, and the numerator (-x) approaches -7. Therefore, the right-hand limit is -7/0, which is also an indeterminate form.
Since the left-hand limit and the right-hand limit are both indeterminate forms, the overall limit as x approaches -7 is undefined.
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