Answer:
3.8
Step-by-step explanation:
use pythagoras theorem
a^2+b^2=c^2
a^2+5^2=6^2
a^2+25=36
a^2=36-25
a^2=11
a=3.3
but on the answers provided write 3.8 because its close
6. $80 is divided between Ethan and Michael such
that one quarter of Ethan's share is equal to one
sixth of Michael's share. How much does each of
them receive?
Answer:
it could be 32 if im correct
Step-by-step explanation:
Answer:
32 is correct........
Marcus was interested in whether the frequency that students check emails impacts their grades in the class. He categorized students into three groups. Those who checked email daily, those who checked email at least 2x a week (but not every day), and those who checked email less than 2x a week. Below are the GPAs for the students he studied. Conduct the steps of hypothesis testing on these data.
Table of data: GPAs for students separated by how often they check their email
Daily 2x a week Less than 2x a week
3.6 3.5 2.9
3.5 3.4 3.0
3.7 3.2 3.2
4.0 3.2 2.7
The steps to conduct the steps of hypothesis testing on these data are:
State the null hypothesis (H0) as well as the alternative hypothesis (H1):Select the significance level (alpha): Select the right test statistic:Formulate the decision rule:Compute the test statistic as well as the p-value:Decide on a decision.What is the hypothesis?The hypothesis will be:
H0: Email frequency does not affect grades.H1: Email frequency affects grades.Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.
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Use the method of completing the square to write the equation of the given parabola in this form:
(y-k)=a(x-h)²
where a≠ 0,(b, k) is the vertex, and x=h is the axis of symmetry.
Find the x-intercepts of the parabola with vertex (6,-5) and y-intercept (0,175). Write your answer in this form: x₁, y₁),(x₂, y₂). If necessary, round to the nearest hundredth.
The x-intercepts of the parabola are (x₁, y₁) = (6.67, 0) and (x₂, y₂) = (5.33, 0).
What is the equation of a parabola?
The general equation of a parabola is given by y = a(x – h)2 + k or x = a(y – k)2 +h. Here (h, k) denotes the vertex.
To write the equation of the given parabola in the desired form, we can complete the square.
The equation of a parabola with vertex at (h, k) and axis of symmetry x = h is given by:
y = a(x - h)^2 + k
where a is a nonzero constant.
In this case, the vertex is (6, -5) and the y-intercept is (0, 175), so the equation of the parabola is of the form:
y = a(x - 6)^2 - 5
Substituting the y-intercept, we have:
175 = a(0 - 6)^2 - 5
Solving for a, we find that a = 15/4.
Thus, the equation of the parabola is:
y = 15/4(x - 6)^2 - 5
To find the x-intercepts, we need to find the values of x such that y = 0. Substituting y = 0 into the equation of the parabola, we have:
0 = 15/4(x - 6)^2 - 5
Adding 5 to both sides, we have:
5 = 15/4(x - 6)^2
Dividing both sides by 15/4, we have:
4/15 = (x - 6)^2
Taking the square root of both sides, we have:
x - 6 = +/- 2/3
Thus, the x-intercepts are at x = 6 +/- 2/3.
Therefore, the x-intercepts of the parabola are (x₁, y₁) = (6 + 2/3, 0) and (x₂, y₂) = (6 - 2/3, 0).
Rounded to the nearest hundredth, the x-intercepts are (x₁, y₁) = (6.67, 0) and (x₂, y₂) = (5.33, 0).
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Simplify the expression (–2a) (-7a^4). Please show steps
Answer:
(2•7a5)
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
-2a • (0 - 7a4)
Step 2 :
Multiplying exponential expressions :
2.1 a1 multiplied by a4 = a(1 + 4) = a5
(a) The length of a rectangle is 6 cm more than its width, w cm. The perimeter of the rectangle is 37 cm. Form an equation in w and solve it to find the width of the rectangle.
The width of the rectangle whose perimeter is 37 cm is 6.25 cm.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The length of a rectangle is 6 cm more than its width, w cm.
So, the length = w + 6
The perimeter of the rectangle is 37 cm.
Then, Perimeter of the rectangle = 37
2(l+ w) = 37
2( w+ 6 +w )= 37
2(2w + 6)= 37
4w + 12 = 37
4w = 25
w = 6.25 cm
and, length = w+ 6 = 6 + 6.25 = 12.25 cm
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Find the area of the shape shown below.
units 2=
** please help me this is due today at midnight
thank you
---cant give more points sorry
go watch netflix
and chill my
PLEASE HELPPP WILL GIVE BRAINLEST?
P(A and B) is equal to 6.
To find P(A and B), we can use the formula:
P(A and B) = P(A) + P(B) - P(A U B)
Given the information:
P(A U B) = 32 (the probability of either event A or event B occurring)
Universal set contains 52 elements (total number of possible outcomes)
P(A intersection B) = 6 (the probability of both event A and event B occurring)
P(A) = 12 (the probability of event A occurring)
P(B) = 26 (the probability of event B occurring)
We can substitute the known values into the formula:
P(A and B) = P(A) + P(B) - P(A U B)
P(A and B) = 12 + 26 - 32
Simplifying the expression:
P(A and B) = 38 - 32
P(A and B) = 6
Therefore, P(A and B) is equal to 6.
The result indicates that the probability of both event A and event B occurring simultaneously is 6 out of the total number of possible outcomes in the universal set. It means that out of the 52 elements in the universal set, 6 of them satisfy the conditions of both A and B.
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Find the value of the variable. Pic has the full question. please help.
Answer:
x = 18
Step-by-step explanation:
4x and 90 - x are vertically opposite angles and are congruent, then
4x = 90 - x ( add x to both sides )
5x = 90 ( divide both sides by 5 )
x = 18
Find the measure of the numbered angles.
The measure of the numbered angles of the quadrilaterals in the question are presented as follows;
14. m∠1 = 54°, m∠2 = 36°, m∠3 = 54° m∠4 = 108°, m∠5 = 72°
15. m∠1 = 90°, m∠2 = 45°, m∠3 = 45°, m∠4 = 45°, m∠5 = 45°
16. m∠1 = 64°, m∠2 = 64°, m∠3 = 26°, m∠4 = 90°, m∠5 = 64°
What is a quadrilateral?A quadrilateral is a four sided polygon.
14. The figure is a rectangle
The two diagonals of a rectangle are the same length and the diagonals of a rectangle bisect each other, therefore;
The triangles formed by the diagonals of the rectangle are isosceles triangles.
The angle at the vertex of the isosceles triangle that has 36° as the base angle of the triangle is therefore; (180° - 2 × 36°) = 108°
The angle ∠4, is a vertical angle to the angle calculated above, therefore;
m∠4 = 108°
m∠5 = (360° - 2 × 108°) = 72°
m∠5 = 72°
The similar triangles formed by the diagonals indicates that we get;
m∠2 = 36°
m∠1 = (180° - m∠5)/2
Therefore; m∠1 = (180° - 72°)/2 = 54°
m∠1 = 54°
∠1 ≅ ∠3
Therefore; m∠3 = m∠1 = 54°
m∠3 = 54°
15. The quadrilateral is a square, therefore;
The diagonals bisect each other and are perpendicular.
m∠1 = 90° (Definition of perpendicular angles)
m∠5 = (180° - 90°)/2 = 45°
m∠5 = 45°
∠3 ≅ ∠5, therefore;
m∠3 = m∠5 = 45°
m∠3 = 45°
m∠3 + m∠2 = 90° (The vertex angles of a square are 90°)
m∠2 = 90° - m∠3
m∠2 = 90° - 45° = 45° (Substitution property)
m∠2 = 45°
16. The quadrilateral is a rhombus, therefore;
The diagonals of a rhombus perpendicular
Adjacent angles are supplementary
The opposite angles of a rhombus are congruent
The opposite sides of a rhombus are parallel
Diagonals of a rhombus bisect the interior angles
The above properties indicates that we get;
90° + m∠1 + 26° = 180°
m∠1 = 180° - 26° - 90° = 64°
m∠1 = 64°
m∠4 = 90°
The angle ∠3 and the 26° angle are alternate interior angles. Alternate interior angles between parallel lines are congruent, therefore;
m∠3 = 26°
m∠1 = m∠2 (definition of bisected angle), therefore;
m∠2 = m∠1 = 64°
m∠2 = 64°
∠2 and ∠5 are alternate interior angles, therefore;
∠2 ≅ ∠5
m∠5 = m∠2 = 64°
m∠5 = 64°
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Starrla was trying to collect 3 pounds of cans to recycle. If she collects one-fourth of a pound each day, how many days will it take her to collect 3 pounds?
Answer:
With approximately a half-ounce of aluminum per can, or 32 cans per pound, that makes each one worth about 1.7 cents. Although there are some people making a living collecting cans in the streets, it isn't a good living.
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Mark brainliest
Which of the following best describes a three-dimensional solid made from
two parallel and congruent discs not in the same plane and all the points
between them?
A. Cylinder
B. Cone
C. Cube
D. Prism
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The correct option is A.
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.
The solid is described as a three-dimensional solid made from
two parallel and congruent discs, not in the same plane, and all the points
between them is a Cylinder.
Hence, the correct option is A.
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What is the angle relationship?
Rewrite the function by completing the square.
h (x)=x^2+3x−18
Answer: (x+6)(x-3)
Step-by-step explanation:
y=x^2+3x-18
(x+6)(x-3 )
a toll box has 10 screw drivers and 6 wrenches Bella puts 8 more wrenches in the tool box how many more wrenches are in the toolbox
I NEED THIS ASAP
9y=
y=?
The question is not complete
but I think it should be
y= -9
Hope it helps
Answer:
Y= -9
Step-by-step explanation:
what fraction is equivalnt to 3/4
Answer:
6/8
Step-by-step explanation:
Multiply both the denominator and numerator by 2.
HELPPP ME PLEASEEEEE
Answer:
5x6 - 20 + 8
Answer:
5 X k = 30
10X2 = 20+8 = 28
Step-by-step explanation:
How are triangleABC and triangle ADE related? How do you know pls explain.
Triangle ABC and ADE are similar triangles
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.
It has been shown that angles in ABC and ADE are equal.
To show that the ratio of corresponding sides are equal
6/12 = 8/16 = 10/20
The ratios all give a value of 1/2
Therefore we can say that the triangles ABC and ADE are similar.
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. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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I NEED SOME CORRECT ANSWER PLEASE WITH SOLVING!!
A. You need to buy 3eggs cost 8.00, 2 hotdogs cost 10.00 and 3bread cost 5.00 each. How much money you will need to take to the sari-sari store B. Evaluate the following polynomial 4x² + 2x - 3
(i need a reaal math genius please solve it with the right answer and right solving please i'm begging you
89 is the money you will need to take to the sari-sari store and x=-1±√13/4 is the value of polynomial 4x² + 2x - 3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that need to buy 3 eggs cost 8.00
2 hotdogs cost 10.00
3 bread cost 5.00 each.
We need to find the money you will need to take to the sari-sari store.
3(8)+2(10)+3(15)
24+20+45
89
The given polynomial is 4x² + 2x - 3=0
a=4, b=2 and c=-3
x=-b±√b²-4ac/2a
x=-2±√4-4(4)(-3)/8
x=-1±√13/4
Hence, 89 is the money you will need to take to the sari-sari store and x=-1±√13/4 is the value of polynomial 4x² + 2x - 3.
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Need Help You Can Get 35 point!!!
The width of a rectangular field is represented by x meters. The length of the field is 10 more than twice its width . The area of the field is 5500m^2
Part A
Write an equation that can be used to determine the dimensions, in meters, of the field.
Part B
What is the width, in meters, of the field?
The width is ( ) meters.
Part A: The equation that can be used to determine the dimensions, in meters, of the field is 5500 = 2x² + 10x
Part B: width is 50 meters.
How to determine the valueThe formula for calculating the area of a rectangle is expressed with the equation;
A = lw
Such that the variables are expressed as;
A is the areal is the lengthw is the widthWe then have that;
l = 2x + 10
Substitute the values
5500 = (2x + 10)(x)
expand the bracket
5500 = 2x² + 10x
2x² + 10x - 5500
x² + 5x - 2750
x² + 55x - 50x - 2750
x(x + 55) - 50(x + 55)
x = 50 meters
Length = 2(50) + 10
Length = 100 + 10 = 110 meters
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Line segment EF had endpoints E(5,-1) and F(-3,8). What are the coordinates of the midpoint of EF?
Answer:
(1, 7/2)
Step-by-step explanation:
the formula for midpoint is \((\frac{X1 + X2}{2}\), \(\frac{Y1 + Y2}{2})\)
Given that a = 2.4 cm, and b = 9.6 cm, work out x
Answer:
where am i supposed to find the x if you haven't given the equation for the sum
Step-by-step explanation:
Helpp meeeeeeee plz:(
Answer:
i think x=74
Step-by-step explanation:
1what is the slope of the line that passes through the points 0,5 and 2,2
(photo)
Answer:
-1.5
Step-by-step explanation:
\( = \frac{2 - 5}{2 - 0} \\ = \frac{ - 3}{2} \\ = - 1.5\)
18 - [5 + 1 + (4 - 2 + 2)}] please solve
Answer:
8
Step-by-step explanation:
\(\hookrightarrow 18 - [5 + 1 + (4 - 2 + 2)]\\\\\hookrightarrow 18-[5+1+(6-2)]\\\\\hookrightarrow 18-[5+1+4]\\\\\hookrightarrow 18-10\\\\\hookrightarrow 8\)
Please everyone help me!
Answer:g=0 is not the solution
Step-byd-step explanation:
-1 1/2 is a negative number and 0 is not negative
Answer:
g=0
Step-by-step explanation:
happy to help ya :)
The relationship of horsepower of motorcycles to miles per gallon is represented by the following scatter plot:
Scatter plot with horsepower on the x axis and observed MPG on the y axis. The points plotted are 62 and 32, 63 and 31, 66 and 30, 71 and 30, 75 and 29, 81 and 27, 91 and 24, 94 and 25, 97 and 21, 99 and 20, 104 and 21, 114 and 18, 115 and 19, 120 and 17.
Jorge created the following residual plot:
Residual plot with x axis labeled horsepower and y axis labeled residuals. The points plotted are 62 and 0.44, 63 and negative 0.3, 66 and negative 0.52, 71 and 0.78, 75 and 0.82, 81 and 0.38, 91 and negative 0.02, 94 and 1.76, 97 and negative 1.46, 99 and negative 1.94, 104 and 0.36, 114 and negative 0.04, 115 and 1.22, 120 and 0.52.
Does his residual plot make sense based on the scatter plot? Explain.
A. The random residual plot makes sense because the scatter plot appears to have a linear relationship.
B. The random residual plot makes sense because the scatter plot appears to have a negative relationship.
C. The random residual plot does not make sense because it should have a linear relationship like the scatter plot.
D. The random residual plot does not make sense because it should have a nonlinear curve, as the scatter plot is negative.
Answer:
Step-by-step explanation:
Based on the information provided, the residual plot makes sense based on the scatter plot.
In the given scatter plot, the points are plotted with horsepower on the x-axis and observed MPG (miles per gallon) on the y-axis. The scatter plot shows the relationship between horsepower and MPG for the motorcycles.
The residual plot, on the other hand, shows the differences between the observed MPG values and the predicted MPG values based on the regression line or model. Residuals represent the vertical distances between the observed data points and the regression line.
Looking at the residual plot, we can see that the residuals are scattered randomly around the zero line. Some residuals are positive, while others are negative, indicating that the observed MPG values deviate both above and below the predicted MPG values.
Given this information, option A is the correct answer: "The random residual plot makes sense because the scatter plot appears to have a linear relationship." The scatter plot does not necessarily suggest a positive or negative relationship between horsepower and MPG. It simply shows the general trend or pattern. The random distribution of residuals in the residual plot indicates that the regression model is capturing the relationship adequately, and the variations or deviations from the regression line are random, which is expected in a good regression model.
The residual plot created by Jorge does make sense as it reflects the negative relationship between horsepower and miles per gallon present in the original scatter plot. As the horsepower increases, the miles per gallon decreases which is depicted accurately in the residual plot made.
Explanation:The best answer for this is B. The random residual plot makes sense because the scatter plot appears to have a negative relationship. A residual plot is a graph that is used to examine the goodness of fit in regression and ANOVA analysis. It is the differences between the observed and predicted values of data. The points in a residual plot are randomly dispersed around a horizontal axis if the corresponding regression model is appropriate for the data.
In this case, the scatter plot demonstrates a negative relationship between the horsepower of motorcycles and miles per gallon. As the horsepower increases, the miles per gallon decrease. This negative relationship is reflected in the pattern of residuals, which fluctuates around the zero line on the y-axis of the residual plot. Consequently, the random distribution of residuals on Jorge's plot does make sense given the scatter plot data.
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Los dueños de un restaurante exitoso quieren un préstamo de $50,000 para renovar la cocina y ampliar el comedor. Esperan que las mesas extra agreguen entre $2,000 y $5,000 a los ingresos mensuales del restaurante. El banco está dispuesto a permitir que la empresa tenga un préstamo a plazo intermedio de $50 000 durante cinco años a una tasa de interés del 6,5 por ciento. Calcule el pago mensual y explique si tomar este préstamo es una decisión comercial inteligente.
The monthly Payment for the loan is approximately $271.24.
To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:
Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
Given:
Loan Amount = $50,000
Interest Rate = 6.5% per year
Number of Years = 5
First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:
Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667
Plugging in the values into the formula, we get:
Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))
= $271.24
Therefore, the monthly payment for the loan is approximately $271.24.
The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.
If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.
On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.
Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.
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help me answer this please
Answer:
3,952 ft
Step-by-step explanation:
Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.
sin8°=\(\frac{550}{c}\)
csin8°=550
c=550/sin8°
c= 3,952