Linda Jackson took a job at a manufacturing outlet. She earns $350 a
week. Estimate her daily income if she works 5 days a week. Calculate
her annual salary.
Answers
Step-by-step explanation:
Daily income = $350 ÷ 5 = $70
Related Questions
One of the most common types of volcanoes is called a cylinder cone volcano. These types of volcanoes are the smallest type of volcano, ranging between 300 feet and 1200 feet tall, and are in the shape of a cone.
Find the volume of a cinder cone volcano with a height of 350 feet and a diameter of 1100 feet. Use 3.14 for and round your answer to the nearest cubic foot.
Answers
The volume of a cinder cone volcano will be 110872040 cubic feet.
What is the volume of a cone?The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.
The volume of the cone (V) = 1/3 πhr²
Given,
Radius of cone (r) = 1100/2 = 550 feet
Height of cone (h) = 350 feet
The volume of a cinder cone volcano = 1/3 πhr²
Substitute the values of h and r,
The volume of a cinder cone volcano = 1/3 × 3.14× (550)² × (350)
The volume of a cinder cone volcano = 110872040 cubic feet.
Thus, the volume of a cinder cone volcano will be 110872040 cubic feet.
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what are the two related linear equations for |x – 2| = 5.
Answers
The two related linear equations for |x – 2| = 5 are x - 2 = 5 and x - 2 = -5
How to determine the related equations?From the question, we have the equation to be
|x - 2| = 5
This equation is an absolute value function
The general rule of an absolute value function is that:
An equation represented as y = |x| can be expressed as y = x or y = -x
Using the above guideline as a guide, we have the following representation of |x – 2| = 5
x - 2 = 5 and x - 2 = -5
Hence, the equations are x - 2 = 5 and x - 2 = -5
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The table shows the number of days required to perform a given number of chores. The number of days varies directly with the number of chores. What is the constant of variation?
Answers
Answer:
THE CONSTANT OF VARIATION IS 1/2 or 0.5
Step-by-step explanation:
Here, we want to calculate the variation constant.
From the question, we are told that number of days varies directly as the number of chores
Mathematically, that would be;
y = kx
where k is the constant of proportionality
To get the value of k, we simply divide the value of y at a point by the value of x at that point
Mathematically;
1 = 2k
which is same as
5 = 10k
Thus, the value of k would be 5/10 = 1/2 or 0.5
Answer:
The answer is 1/2 so C
Step-by-step explanation:
Hii! If someone could plz help me!
is -4.5 greater or less than 3?
Is -12/5 greater or less than 2?
From least to greatest order these: -3/2, -1, 11/4, 2, -3, 5.2, 0, 5.
(Btw I’m sorta new here so I apologize if I mess up)
Answers
Answer:
-4.5 is less than 3
-12/5 is less than 2
-3, -1.5, -1, 0, 2, 2.75, 5, 5.2
-3/2 = -1.5
11/4 = 2.75
which eq has no real solutions? \(2 = \sqrt{x + 3 + 5} \)\(4 = \sqrt{x - 1 - 2} \)\(1 = \sqrt[3]{x + 1 + 2} \)\(6 = \sqrt[3]{x - 2 - 1} \)
![which eq has no real solutions? [tex]2 = \sqrt{x + 3 + 5} [/tex][tex]4 = \sqrt{x - 1 - 2} [/tex][tex]1](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/SOoE16U6u2bKLAg6znd71q7xGvHC48Cr.png)
Answers
Let's solve each equation.
\(2=\sqrt[]{x+3}+5\)First, we subtract 5 on each side.
\(\begin{gathered} 2-5=\sqrt[]{x+3}+5-5 \\ -3=\sqrt[]{x+3} \end{gathered}\)You can observe that we've got x = 6 as a solution, however, this is not completely true because at the beginning we got a square root equal to a negative number and that doesn't have a solution in the real numbers. Square roots can't give a negative result, that's why.
The second equation is
\(4=\sqrt[]{x-1}-2\)First, we add 2 on each side.
\(\begin{gathered} 4+2=\sqrt[]{x-1}-2+2 \\ 6=\sqrt[]{x-1} \end{gathered}\)Then, we elevate the equation to the square power.
\(\begin{gathered} 6^2=(\sqrt[]{x-1})^2 \\ 36=x-1 \\ x=36+1=37 \end{gathered}\)The second equation has a real solution.
The third equation is
\(\begin{gathered} 1=\sqrt[3]{x+1}+2 \\ 1-2=\sqrt[3]{x+1} \\ -1=\sqrt[3]{x+1} \\ (-1)^3=(\sqrt[3]{x+1})^3 \\ -1=x+1 \\ x=-1-1=-2 \end{gathered}\)The third equation has a real solution.
The fourth equation is
\(\begin{gathered} 6=\sqrt[3]{x-2}-1 \\ 6+1=\sqrt[3]{x-2} \\ 7=\sqrt[3]{x-2} \\ 7^3=(\sqrt[3]{x-2})^3 \\ 343=x-2 \\ x=343+2=345 \end{gathered}\)The fourth equation has a real solution.
what is the distance between (4, 7) and (2, 2)
a.) \(\sqrt{10}\)
b.) \(\sqrt{29}\)
c.) 8
d.) 9
Answers
![what is the distance between (4, 7) and (2, 2)a.) [tex]\sqrt{10}[/tex]b.) [tex]\sqrt{29}[/tex]c.) 8d.)](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/CeCgNpyPv9AQf5gFo9CrP7S7txWV7WDs.png)
Use the given transformation to evaluate the integral. 5y2 dA, R where R is the region bounded by the curves xy
Answers
To evaluate the integral ∫∫R 5y^2 dA, where R is the region bounded by the curves xy, we can use the given transformation. Since R is bounded by the curves xy, it means that the region is bounded by the lines x=0, y=0, and xy=1.
To perform the transformation, we substitute x=uv and y=u/v into the integral. The Jacobian of this transformation is 1/v^2. The new limits of integration can be found by considering the original bounds of R.
For x=0, we have uv=0, which implies that u=0 or v=0. For y=0, we have u/v=0, which means that u=0.
For xy=1, we have uv=1, which implies that u/v=1.
Therefore, the transformed region, let's call it S, is bounded by u=0, v=0, and u/v=1.
Now, we can rewrite the integral as ∫∫S 5(u/v)^2 (1/v^2) dudv. Simplifying this expression, we get ∫∫S 5u^2/v^4 du dv.
Evaluating this double integral in region S will give us the desired result.
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How
do I show significant difference using superscript between these
values? (anova single factor test)
Answers
Yes, you can show significant differences using superscripts in an ANOVA (Analysis of Variance) single-factor test.
In an ANOVA test, superscripts are commonly used to indicate significant differences between the means of different groups or treatments.
Typically, letters or symbols are assigned as superscripts to denote which groups have significantly different means. These superscripts are usually presented adjacent to the mean values in tables or figures.
The specific superscripts assigned to the means depend on the statistical analysis software or convention being used. Each group or treatment with a different superscript is considered significantly different from groups with different superscripts. On the other hand, groups with the same superscript are not significantly different from each other.
By including superscripts, you can visually highlight and communicate the significant differences between groups or treatments in an ANOVA single-factor test, making it easier to interpret the results and identify which groups have statistically distinct means.
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determine the equations of the lines tangent to 9x2 4y2 18x−16y−11=0 at x = 0. where do these two lines intersect?
Answers
The point of intersection of two lines are (11/(12√(11)), 2)
To determine the equations of the lines tangent to the ellipse 9x² + 4y² - 18x - 16y - 11 = 0 at x = 0, we first need to find the y-coordinates of the points of tangent.
To do this, we can use implicit differentiation to find the slope of the tangent line at a given point (x, y) on the ellipse:
18x + 8y dy/dx - 18 - 16 dy/dx = 0
dy/dx = (9x - 8)/(4y - 16)
To find the slope of the tangent line at x = 0, we substitute x = 0 into the above expression and solve for dy/dx:
dy/dx = -2/(y - 2)
At x = 0, the equation of the ellipse reduces to 4y² - 16y - 11 = 0, which can be solved for y using the quadratic formula:
y = [16 ± √(256 + 176)]/8 = 2 ± √(11)
So the two points of tangents are (0, 2 + √(11)) and (0, 2 - √(11)).
The slopes of the tangent lines at these points are:
dy/dx = -2/(2 + √(11) - 2) = √(11)
dy/dx = -2/(2 - √(11) - 2) = -√(11)
Using the point-slope form of the equation of a line, the equations of the tangent lines are:
y - (2 + √(11)) = √(11) x
y - (2 - √(11)) = -√(11) x
To find the point of intersection of these two lines, we can set them equal to each other and solve for x:
√(11) x + (2 + √(11)) = -√(11) x + (2 - √(11))
x = 11/(12sqrt(11))
Substituting x = 11/(12√(11)) into either equation of the tangent lines, we get the corresponding y-coordinate of the point of intersection:
y = √(11) x + 2 + √(11) = -√(11) x + 2 - √(11) = 2
Therefore, the two tangent lines intersect at the point (11/(12√(11)), 2)
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Nil and Ethan are brothers. They left their home at the same time and drove to the same beach. Nil drove at a speed of 30 miles per hour. Ethan drove at a speed of 20 miles per hour. Nil arrived at the beach 0.5 hour earlier than Ethan. What is the distance between their home and the beach?
Answers
Answer:
10 miles
Step-by-step explanation:
Ethan drove at a speed of 20 miles per hour. Nil arrived at the beach 0.5 hour earlier than Ethan. What is the distance between their home and the beach? Every hour, Nil gets ahead of Ethan 30 - 20 = 10 miles.
calculate (,), the second‑order taylor approximation to (,)=5cos()sin() at the point (,2). (use symbolic notation and fractions where needed.)
Answers
The second-order Taylor approximation to f(x,y) at the point (π,π/2) is g(x,y) = -5(x-π) - 5/2(y-π/2)².
To find the second-order Taylor approximation to the function f(x,y) = 5cos(x)sin(y) at the point (π,π/2), we need to calculate the first and second partial derivatives of the function with respect to x and y:
f(x,y) = 5cos(x)sin(y)
f_x = -5sin(x)sin(y)
f_xx = -5cos(x)sin(y)
f_xy = -5sin(x)cos(y)
f_y = 5cos(x)cos(y)
f_yy = -5cos(x)sin(y)
Next, we evaluate these partial derivatives at the point (π,π/2):
f(π,π/2) = 5cos(π)sin(π/2) = 0
f_x(π,π/2) = -5sin(π)sin(π/2) = -5
f_xx(π,π/2) = -5cos(π)sin(π/2) = 0
f_xy(π,π/2) = -5sin(π)cos(π/2) = 0
f_y(π,π/2) = 5cos(π)cos(π/2) = 0
f_yy(π,π/2) = -5cos(π)sin(π/2) = -5
Using these values, we can write the second-order Taylor approximation as:
g(x,y) = f(π,π/2) + f_x(π,π/2)(x-π) + f_y(π,π/2)(y-π/2) + 1/2[f_xx(π,π/2)(x-π)² + 2f_xy(π,π/2)(x-π)(y-π/2) + f_yy(π,π/2)(y-π/2)²]
Plugging in the values we calculated above, we get:
g(x,y) = 0 - 5(x-π) + 0(y-π/2) + 1/2[0(x-π)² + 0(x-π)(y-π/2) - 5(y-π/2)²]
Simplifying this expression, we get:
g(x,y) = -5(x-π) - 5/2(y-π/2)²
Therefore, the second-order Taylor approximation to f(x,y) at the point (π,π/2) is g(x,y) = -5(x-π) - 5/2(y-π/2)².
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Complete question:
Calculate g(x, y), the second-order Taylor approximation to f(x, y) = 5 cos(x) sin(y) at the point (л,л/2)
i need this answered quickly so my mum dosent stay mad at me
Answers
I'LL MAKE YOU BRAINLIEST IF YOU ANSWER THIS
In the triangle shown, the ratio of the height to the length of the base is 3:4.
Chose True or False on A-C.
A. The area of the triangle is twice the area of a parallelogram with the same base and height
B. The height is 3/4 the base length.
C. The area is 8.64 mm²
Answers
Answer:
A. False
B. True
C. True
Step-by-step explanation:
A: Area of traingle = 1/2 × Base Length × Height
Area of parallelogram = Base Length × Height
Therefore, Statement A is False.
B: Base on the ratio for height to base length 3:4,
Statement B is True.
C: Base Length = 4.8 ÷ 4 × 3
= 3.6 mm
Area of Triangle = 1/2 × Base Length × Height
= 1/2 × 3.6 × 4.8
= 8.64mm²
Therefore, Statement B is True.
the vertex angle of an isosceles triangle measures 36 degrees . what is the measure of its base angle?
Answers
Explanation:
For any triangle, the three angles always add to 180 degrees.
In an isosceles triangle, the base angles are the same measure. For now we don't know what they are, so let's call them x. The vertex angle is 36.
Adding the three angles (x,x, and 36) and setting that equal to 180 will help us find the value of x.
x+x+36 = 180
2x+36 = 180
2x+36-36 = 180-36 .... subtract 36 from both sides
2x = 144
2x/2 = 144/2 .... divide both sides by 2
x = 72
This triangle has two base angles of 72 each and the vertex angle of 36. As a check, the three angles should add up to 180
72+72+36 = 144+36 = 180
So the answer is confirmed.
Answer: Both of the other angles equal 72 degrees individually.
Step-by-step explanation:
The measure of each of the other angles could be 72 degrees because isosceles triangles have two sides that have the same equivalence. Since a line has 180 degrees and its vertex angle measures 36 degrees, then the remaining angles have to be found by subtracting 180 with 36 in order to get 144. 144 divided by 2 because of the two angles then makes both sides equal to 72 degrees individually.
8x+12y=-96 in slope intercept form?
Answers
Answer:
y = -2/3x -8
Step-by-step explanation:
You want to rewrite the equation 8x +12y = -96 in slope-intercept form.
Solve for y8x +12y = -96 . . . . . given
12y = -8x -96 . . . . . subtract 8x
y = -8/12x -96/12 . . . . divide by 12
y = -2/3x -8 . . . . . . . simplify
If a plane flies at 560 km per hour, how long would it take to fly to Cape Town to Fast London? Round off to the nearest hour
Answers
Step-by-step explanation:
distance between Cape Town to london is 13,133 km
t = distance + speed
= 13.133 ÷ 560= 23.45 h = 23 h
What are the year-2 CPI and the rate of inflation from year 1 to year 2 for a basket of goods that costs $25.00 in year 1 and 25.50 in year 2?
Answers
The year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.
To calculate the rate of inflation and the Consumer Price Index (CPI) change from year 1 to year 2, we need to follow these steps:
Step 1: Calculate the inflation rate:
Inflation Rate = (Year 2 CPI - Year 1 CPI) / Year 1 CPI
Step 2: Calculate the Year 2 CPI:
Year 2 CPI = (Year 2 Basket Price / Year 1 Basket Price) * 100
Let's calculate the values:
Year 1 Basket Price = $25.00
Year 2 Basket Price = $25.50
Step 1: Calculate the inflation rate:
Inflation Rate = ($25.50 - $25.00) / $25.00
Inflation Rate = $0.50 / $25.00
Inflation Rate = 0.02 or 2%
Step 2: Calculate the Year 2 CPI:
Year 2 CPI = ($25.50 / $25.00) * 100
Year 2 CPI = 1.02 * 100
Year 2 CPI = 102
Therefore, the year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.
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A scale drawing uses a scale of 4cm for every 5m.
Write this as a ratio in its simplest form.
Answers
Answer:
1 : 125
Step-by-step explanation:
We know that,
1m → 100cm
Accordingly, first, let us convert 5m into centimeters by multiplying it by 100.
5m × 100 = 500cm
So,
4cm : 5m
4cm : 500cm
4 : 500
To write the ratio in its simplest form divide it by 4.
1 : 125
Eddie is reading a novel for English class. He read 173 out of 480 pages. About what percent of the book has he read? Round to the nearest whole number.
Answers
Answer:
the answer would be 36.04,
Step-by-step explanation:
im gonna just leave this blank
Given that f(x) = 3x + 3 and g(x)=x2- 2x-5, find (g of)(4).
(gof)(4)=0
(Simplify your answer. )
Answers
Answer:
-5=0
Step-by-step explanation:
g(4)=8-8-5=-5 you substitute 4 into x
-5=0
25 * 7 / 80 and then the square root of pie
Answers
Answer:
97x48 pie 12875758
Step-by-step explanation:
hope this helps
Answer:
1) 2.1875
2) The square root of pie is 1.78
amy usually swims 20 laps in 30 minutes what is her rate per minutes
Answers
Answer:
1.5
Step-by-step explanation:
Because if you divide 30 by 20 you get 1.5 to check if it’s correct you multiple 1.5 by 20
I need help pls help
Answers
Step-by-step explanation:
8×8=64 + another 5×5=25/ equals 89
please help ,,
supply the missing reason in statement 4 of the proof of the isosceles triangle theorem.
Answers
Answer:
h
Step-by-step explanation:
Suppose $2900 is invested annually into an annuity that earns 7% interest. If P dollars are invested annually at an interest rate of i, the value of the annuity after n years is given by the following equation. W=P[(1+i)n-1/i] How much is the annuity worth after 10 yr? The annuity will be worth $ (Do not round until the final answer. Then round to the nearest dollar as needed.)
Answers
The value of the annuity after 10 years will be approximately $39,714.
The equation for the value of an annuity:
W = P[(1 + i)^n - 1]/i
where:
W is the value of the annuity
P is the amount invested annually
i is the interest rate
n is the number of years
In this case, the amount invested annually is $2900 and the interest rate is 7% (or 0.07). We want to find the value of the annuity after 10 years.
Plugging in the values into the equation:
W = 2900[(1 + 0.07)^10 - 1]/0.07
Calculating the expression inside the brackets first:
(1 + 0.07)^10 = 1.07^10 ≈ 1.967151
Now, substituting the calculated value into the equation:
W = 2900[(1.967151) - 1]/0.07
Simplifying:
W = 2900[0.967151]/0.07
W ≈ 39714.63
Therefore, the annuity will be worth approximately $39,714 after 10 years.
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A wire that is 80 centimeters long is shown below. The wire is cut into two pieces, and each piece is bent and formed into the shape of a square. 80 cm wire Suppose that the side length (in centimeters) of one square is x cm. Express the perimeter of the big square in terms of x. (1 point)
Answers
Answer:
The perimeter of the second(big) square = \(\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}\)
Step-by-step explanation:
From the information given:
The length of the piece of the wire = 80 cm
When being cut into two pieces;
the length of the first wire = x
Then the length of the second(big) wire will be = 80 - x
However, when each piece is bent to a square shape
The length of one side of the first square = \(\dfrac{x}{4}\)
The length of one side of the second(big) square; \(\dfrac{80-x}{4}\)
Area of a square = l² ( where l is the length of the sides)
For the first square
A₁ = \((\dfrac{x}{4})^2\)
A₁ = \(\dfrac{x^2}{16}\)
The area of the second(big) square is:
A₂ = \((\dfrac{80-x}{4})^2\)
A₂ = \((\dfrac{(80-x)^2}{4})\)
The perimeter of the first square = \(4 \times \dfrac{x}{4}\)
The perimeter of the second(big) square = \(\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}\)
Hugo plans to buy packs of baseball cards until he gets the card of his favorite player, but he only has enough money to buy at most 4 44 packs. Suppose that each pack has probability 0. 2 0. 20, point, 2 of containing the card hugo is hoping for. Let the random variable x xx be the number of packs of cards hugo buys. Here is the probability distribution for x xx:.
Answers
There is a probability of 0.64 that Hugo buys more than 2 packs to get the card of his favorite player.
Therefore P( X > 2) is 0.64.
The random variable X in this situation represents the number of packs of baseball cards that Hugo buys before he gets the card of his favorite player. Since Hugo can buy at most 4 packs and the probability of getting the desired card in each pack is 0.2, we can use this information to create the probability distribution for X.
Here is the probability distribution for X using binomial distribution:
X > 4: The probability that Hugo does not get the card in any pack is
= (1 - 0.2)⁴
= 0.4096
X = 1: The probability that Hugo gets the card in the first pack is
= 0.2
X = 2: The probability that Hugo gets the card in the second pack is
= (1 - 0.2)(0.2)
= 0.16
X = 3: The probability that Hugo gets the card in the third pack is
= (1-0.2)²(0.2)
= 0.128
X = 4: The probability that Hugo gets the card in the fourth pack is
= (1-0.2)³(0.2)
= 0.1024
Probability that Hugo has to but more than 2 pack is
P( X>2) = P(3) + P(4) + P(X > 4)
= 0.128 + 0.1024 + 0.4096
= 0.64
--The question is incomplete, answering to the question below--
"Hugo plans to buy packs of baseball cards until he gets the card of his favorite player, but he only has enough money to buy at most 4 packs. Suppose that each pack has probability 0.2 of containing the card Hugo is hoping for. Let the random variable X be the number of packs of cards Hugo buys. Here is the probability distribution for X. Find P(X > 2)."
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Micaela is cooking bread. The recipe calls
for
3 and 4/5 cups of flour. She accidentally put
5 and
3/10
cups. How many extra cups did
she put in?
Answers
Answer:
1 and 5/10 or 1 and 1/2
Step-by-step explanation:
5 and 3/10 - 3 and 4/5 -
\(\frac{53}{10}\) - \(\frac{19}{5}\)
=\(\frac{15}{10}\)
1 and 5/10 or 1 and 1/2
I took picture off it
Answers
Answer:
F
Step-by-step explanation:
the box plot is divided into quarters, the line on the end to 20 being 1/4th, the start of the box to the line in the box being another 1/4th, the middle line to the end of the box is another 1/4th, and the last line is the last 1/4th
isotope ⁷⁹br has an abundance of 50.69%
isotope ⁸¹ br has an abundance of 49.31%
ar of bromine=..........................
Answers
Answer:
79.986
Step-by-step explanation:
Let A represent isotope ⁷⁹Br
Let B represent isotope ⁸¹Br
From the question given above, the following data were obtained:
For Isotope A (⁷⁹Br):
Mass of A = 79
Abundance of A (A%) = 50.69%
For isotope B (⁸¹Br):
Mass of B = 81
Abundance of B (B%) = 49.31%
Relative atomic mass of Br =?
The relative atomic mass (RAM) of Br can be obtained as follow:
RAM = [(Mass of A × A%) /100] + [(Mass of B × B%) /100]
= [(79 × 50.69) /100] + [(81 × 49.31) /100]
= 40.0451 + 39.9411
= 79.986 amu
Thus, the relative atomic mass of Br is 79.986