79 degree
Explanation:
When typing tan^-1 (5), click on the function that allows you to access the tan^-1 (generaly above the tan option),
Determine whether the coordinate plane shows a reflection in the x-axis, y-axis, or neither.O neitherO X-axisy-axis
1) To determine a reflection across the x-axis, the rule to be followed is
Pre-Image Image
(x,y) --------------------> (x, -y)
A reflection across the y-axis follows this one:
Pre-Image Image
(x,y) --------------------> (-x, y)
2) Let's pick one point from the pre-image and the image on the graph
Since A (-2,0) and F (1,-3) then we cannot state that there was a reflection across the x-axis or y-axis.
3) The answer is neither
(Real-World Proportional Problems MC)
Three students are participating in a walkathon. The data for each student is shown.
Student A: The equation y = 14x represents the amount of money raised (y) for walking (x) miles.
Student B: $42 is raised after walking 3 miles.
Student C:
Miles Walked 6 9
Money Raised $72 $108
Determine which student raised the least amount of money after walking 8 miles.
Student A
Student B
Student C
All three students raised the same amount of money after walking 8 miles.
Student C raised the least amount of money after walking 8 miles.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
Given that;
Condition for A;
The equation y = 14x represents the amount of money raised (y) for walking (x) miles.
Condition for B;
$42 is raised after walking 3 miles.
Condition for C;
Miles Walked = 6 9
Money Raised = $72 $108
Now, For student A;
The amount of money raised for walking 8 miles will be;
⇒ y = 14x
⇒ y = 14 × 8
⇒ y = $112
So, The amount of money raised for walking 8 miles = $112
For student B;
The amount of money raised for walking 1 miles will be;
= $42 / 3
= $14 per mile
Hence, The amount of money raised for walking 8 miles will be;
= $14 x 8
= $112
So, The amount of money raised for walking 8 miles = $112
For student C;
The amount of money raised for walking 1 miles will be;
= $72 / 6
= $12 per mile
Hence, The amount of money raised for walking 8 miles will be;
= $12 x 8
= $96
So, The amount of money raised for walking 8 miles = $96
Therefore,
Student C raised the least amount of money after walking 8 miles.
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The function shown can be used to determine the amount of money, indollars, in a savings account after m months. If no money is added orwithdrawn, which of the following is closest to the amount of money inthe account after 30 months?f(m) = 1500(1.003)^m
Given data:
The given function of amount of mmoney after m months is f(m)=1500(1.003)^m.
Substitute 30 for m in the given expression.
f(30)=1500(1.003)^(30)
=1500(1.094)
=1641
Thus, the total amount of money after 30 monnths is 1641.
A force of 250 newtons stretches a spring 30 centimeters . Please find how much work is done in stretching the spring from 20 centimeters to 50 centimeters.
What type of correlation is shown in this scatterplot 1. Perfect positive 2. Perfect Negavite 3. Low positive 4.High Negavite
SOLUTION
A Scatter Plot has points that show the relationship between two sets of data.
When the line shows a negative slope, the correlation is a negative correlation
Consider the image below
This shows a perfect Negative correlation between the set of data.
Hence
The Second option is Right(2)
A RICH DONOR GIVES A HOSPITAL $500000ONE YEAR FROM TODAY.
Answer:
what do you need to be helped with please
write a complete sentence that makes a relative comparison of the density of castle in the two countries
Before we write the sentence comparing the densities, let's first calculate them. The density is given by the ratio between the amount of cattle and the area of the country.
The ratio for United States is:
[tex]\frac{75.9}{3.797}=19.9894653674\ldots\approx19.989[/tex]The density of cattle for United States is 19.989 cattle/square mile.
Doing the same calculation for the other country:
[tex]\frac{41.1}{1.013}=40.5725567621\ldots\approx40.573[/tex]The density of cattle for Republica is 40.573 cattle/square mile.
To do a relative comparison, we can do it by finding the ratio between those densities.
[tex]\frac{19.989}{40.573}=0.49266753752[/tex]A sentence that makes a relative comparison would be:
The density of cattle in United States is less than the density of cattle in Republica, representing only 49.27% of the density of cattle in Republica.
hello I'm a 7th grader can you please help me with my math summer package and explain it in a way that a 7th grader can understand it.....I need help with number 1 ...
Suppose that both Brian and Kristen pay $18.42 in order to diminish their checkbook balance. Then, after the payment, their current balances would be
[tex]\begin{gathered} Brian:-23.45+18.42=-5.03 \\ Kristen:18.42-18.42=0 \end{gathered}[/tex]Therefore, after paying the same amount ($18.42), Kristen's debt has reduced to zero while Brian still owes $5.03.
Thus, Brian owes more money than Kristen.a survey about favorite sports. suppose 200 people were surved. how many more people favor soccer than swimming. 40% soccer 10% swimming 20%tennis 30%basketball
People surveyed P = 200
Then
40% soccer= 200x40/100= 80
10% swimming= 200x10/100= 20
20% tennis= 200x 20/100= 40
30% basketball= 200x 30/100= 60
))How many favor soccer than swimming?
= 80 - 20= 60
Then answer is 60 people
state the value of as a 5/7 recurring decimal
Answer:
The value of 5/7 recurring numbers is 714285
Explanation:
The given fraction 5/7 is the equivalent of
0.7142857142857142857142857142857142857142857142857142857142857142...
Notice that the recurring numbers are:
714285
What is 201 divided by 12
Answer: 16.75
Step-by-step explanation:
201/12
Which of the following represents a linear function? these are the options a, c or b How do you know?these are the options it creates a simple shapeit passes the vertical line testit is a straight line
We want to identify the linear function.
Of course,
a linear function is going to be a line
The vertical line test is for understanding whether it is a function or not.
By vertical line test,
Picture 1 [passes]
Picture 2 [passes]
Picture 3 [fails]
Now, we can clearly see that Option B is the a straight line, hence a linear function.
Which equation represents the relationship shown in
the graph?
Answer:
[tex]y\le-\frac{1}{4}x^{2}+\frac{1}{2}x+12[/tex]
Step-by-step explanation:
It has to have a y-int of +12 so that eliminates the first 2.
It needs to be contained inside the parabola therefore the x^2 value needs to be negative.
It needs to be shifted 1/2 to the right, therefore it needs a pos x value.
Hope that helps
Write an equation of variation to represent the situation and solve for the indicated information A bottle of 150 vitamins costs $5.25. If the cost varies directly with the number ofvitamins in the bottle, what should a bottle with 250 vitamins cost?Wei received $55.35 in interest on the $1230 in her credit union account. If the interestvaries directly with the amount deposited, how much would Wei receive for the sameamount of time if she had $2000 in the account?
A bottle of 150 vitamins costs $5.25.
The cost varies directly with the number of vitamins in the bottle.
What should a bottle with 250 vitamins cost?
Let C denotes cost and V denotes the number of vitamins.
The direct variation equation is
[tex]C=kV[/tex]Let us first find the value of k (constant of proportionality)
[tex]k=\frac{C}{V}=\frac{5.25}{150}=0.035[/tex]Now the cost of 250 vitamins may be found as
[tex]\begin{gathered} C=kV \\ C=0.035\times250 \\ C=\$8.75 \end{gathered}[/tex]Therefore, the cost of 250 vitamins is $8.75.
Mike solved a system of equations and found that it had infinite solutions. Which could be the system of equations mike solved?
A system of equations has infinite solutions when both equations are equivalent.
To check if two equations are equivalent, write both of them in the same form. If the coefficients are proportional, including the constant terms, then they are equivalent.
Option 1
The first equation is written in general form. Isolate the constant term on the second equation to write it in general form:
[tex]\begin{gathered} y=-2x-1 \\ \Rightarrow2x+y=-1 \end{gathered}[/tex]Notice that if we multiply the second equation by 3 on both sides, we will get the same coefficients as in equation 1:
[tex]\begin{gathered} 3(2x+y)=3(-1) \\ \Rightarrow6x+3y=-3 \end{gathered}[/tex]Then, both equations are equivalent.
Therefore, this system has infinite solutions.
Option 2
Since there is no constant term in the secon
3. David’s watch broke. He decides to get it fixed instead of replacing it. Since David is a loyal customer, he received a coupon in the mail for a discount. The total cost to repair the watch can be represented by 0.07r + (r – 20), where r represents the original cost of the repair. Explain what each part of the expression represents in the context of the problem.
Please show work :)
What each part of the expression represents in the context of the problem include the following:
r represents the original cost of the repair.0.07r represents the tax.(r – 20) represents the discount.What is an algebraic expression?An algebraic expression is a mathematical equation that can be used for showing the relationship which exist between two or more variables, numerical quantities, as well as in conjunction with different mathematical operations.
What is a coefficient?In Mathematics, a coefficient simply refers to a constant numerical value (number or numeral) that written before the variable in any algebraic expression.
Given the following algebraic expression:
0.07r + (r – 20)
In the context of fixing David’s broken watch, the variable r represents the original cost of the repair while 0.07r most likely represents the amount of money charged as tax. Lastly the expression (r – 20) represents the discount on fixing David’s broken watch.
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Sam weighed and measured an infant at the clinic today The baby weighed 8.5 kg and was 60.5 cm long The baby's mather wanted the baby's weight in pounds and length in inches . Use the lowing conversion factors 22 1in = 2.54 cm Round your answers to the nearest tenths place .
We know that
• The baby weighed 8.5 kg and was 60.5 cm long.
We have to transform 8.5 kg into pounds. We know that 1 kg is equivalent to 2.2 pounds. So, we just have to multiply.
[tex]8.5\operatorname{kg}\cdot\frac{2.2lb}{1\operatorname{kg}}=18.7lb[/tex]Therefore, the baby weighed 18.7 pounds.Then, we transform 60.5 cm into inches. We know that 1 inch is equivalent to 2.54 cm. So,
[tex]60.5\operatorname{cm}\cdot\frac{1in}{2.54\operatorname{cm}}=23.82in[/tex]Therefore, the baby was 23.82 inches long.more help need 50 points
Answer:
9p-25
Step-by-step explanation:
always do parentheses first
-5(-10p + 8p -5)-p
multiply negative with negative gives positive
-5(-2p-5)-p
variable always has a 1 in front
10p-1p-25
9p-25
A bank tellers’ hourly wage will increase from $24 to $27.60. What percent increase does this represent? An employee’s salary for Alar Services is $37,500. Next year, she will get an 8% increase in salary. How much is her new salary?
(a).A bank tellers’ hourly wage will increase from $24 to $27.60.
The increament n wage is
[tex](27.60-24)=3.6[/tex]Therefore, the percent of increament is
[tex]\frac{3.6}{24}\times100=15[/tex]Therefore, it represents 15% increament.
(b). An employee’s salary for Alar Services is $37,500. Next year, she will get an 8% increase in salary.
So, new salary is
[tex]37500+(37500\times\frac{8}{100})=40500[/tex]Therefore, new salary is $40500.
In 5 months, firefighters responded to 80wildfires. At this rate, how many wildhres will the frefighters respond to in 8 months?
Given that, in 5 months, firefighters responded to 80 wildfires:
• You can determine the rate of wildfires per month firefighters respond to by dividing 80 wildfires by 5 months:
[tex]\frac{80\text{ }wildfires}{5\text{ }months}=16\text{ }\frac{wildfires}{month}[/tex]You can determine that each rectangle of the diagram provided in the exercise represents the rate obtained above.
• Assuming that the rate is the same in 8 months, you can multiply the rate obtained before by 8 months, in order to determine the number of wildfires the firefighters will respond to in 8 months:
[tex](16\text{ }\frac{wildfires}{month})(8\text{ }months)=128\text{ }wildfires[/tex]Hence, the answer is:
Help pleasee i want it today
Answer:
Since polynomials are used to describe curves of various types, people use them in the real world to graph curves. For example, roller coaster designers may use polynomials to describe the curves in their rides. Combinations of polynomial functions are sometimes used in economics to do cost analyses, for example. Polynomials are used in engineering, computer and math based jobs, in management, business and even in farming. In all careers requiring knowledge of polynomials, variables and constants are used to create expressions defining quantities which are known and unknown.
Step-by-step explanation:
hope this helps you
Camille attended a music store's banjo sale. She counted the types of banjos and made note of their discounts. 4 strings 5 strings 6 strings 25% off 4 4 8 50% off 6 8 3 What is the probability that a randomly selected banjo has 6 strings or 5 strings? Simplify any fractions.
number of banjos with 6 or 5 strings: 4 + 8 + 8 + 3 = 23
total number of banjos: 4 + 6 + 4 + 8 + 8 + 3 = 33
The probability that a randomly selected banjo has 6 strings or 5 strings is:
[tex]p=\frac{23}{33}[/tex]If x and y are in direct proportion and y is 2 when x is 4, what is y when x is 12.
If x and y are in direct proportion and y is 2 when x is 4 and y is 6 when x is 12.
By definition of proportionality,
If y is directly proportional to x,
y α x
i,e y = k(x)
K is the constant of proportionality
when x = 4, y =2
2 = k(4) --> k = 1/2
Now y = k.x
y = 1/2 (12)
y = 6
What is the Constant of Proportionality?
The proportional constant is a ratio that connects two given values in a so-called proportional relationship. Other names for the constant of proportionality are constant ratio, constant rate, unit rate, constant of variation, or even rate of change.
To find the constant of proportionality, first identify the variables x and y. To find out the relationship between weight and number of sticks, x is the weight and y is the number of butter sticks. Use the equation k = y÷ x to find the constant of proportionality.
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THE RECTANGLE BELOW IS DILATED BY A SCALE FACTOR OF 3.6 TO CREATE A NEW RECTANGLE. WHICH OF THE FOLLOWING COILD BE THE DIMENSIONS OF THE NEW RECTANGLE? A: 14.4 CM x 5.4 B: 5.4 cm x C: 7.2 cm x 1.8 cm D: 14.4 cm x 7.2 cm.
ANSWER:
A: 14.4 CM x 5.4
STEP-BY-STEP EXPLANATION:
We must multiply the value of the scale factor by the original measures of the rectangle, like this:
[tex]\begin{gathered} AB=3.6\cdot1\frac{1}{2}=5.4 \\ BC=3.6\cdot4=14.4 \end{gathered}[/tex]solve the system of equations for each variable x, y, and z. please show your work 2xy=z 4x+z=4y y=x+1
The solution of the system of equations 2xy = z, 4x + z = 4y, y = x + 1 are:
x = 1, y = 2, z = 4 and;
x = - 2, y = - 1, z = 4.
Consider the system of equations,
2xy = z ------------(1)
4x + z = 4y ------------(2)
y = x + 1 -------------(3)
Substituting equation (3) in equation (2),
4x + z = 4y
4x + z = 4( x + 1)
4x + z = 4x + 4
z = 4
Substituting equation (3) in equation (1),
2xy = z
2x( x + 1 ) = z
2x² + 2x = 4
x² + x = 2
Hence, x = 1, - 2
Therefore,
When x = 1,
y = x + 1 = 2
When x = - 2, y = x + 1 = - 1
So, the solution for the system of the equations are x = 1, y = 2, x = 4 and x = - 2, y = - 1, z = 4.
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what is the answer to 8+2(6-3)÷6 in pemdas form
8 + 2(6 - 3) / 6
we will be using order of operation
pemdas
firstly we will solve the parentheses
= (6 - 3)
= 3
8 + 2(3) / 6
Secondly we will open the parentheses with 2
= 8 + 6/6
thirdly, we will do the division
= 6/6 = 1
Lastly, Addition
8 + 1
= 9
The answer is 9
Which set of numbers are integers but not whole numbers or natural numbers?{V1, –4, V=5}IO{*}O {V2, , V3}O {0,1,2,3}O {-2, -3, - 4}
The set of whole numbers or natural numbers are the ones that appear naturally, which would go from 0 and beyond. While the set of integers are the numbers that don't have any decimal point, which would include negative numbers. Therefore the correct answer is the last option.
Try Again3Graph the line with slopepassing through the point (-4,5)
1. 3y=-3x+6
Slope_
y-intercept
Answer:
Slope = -1
y-intercept = 2
Step-by-step explanation:
Equation of a line in slope-intercept form is
y = mx + b
where m = slope and b =y-intercept
Here we have
3y = -3x + 6
Dividing by 3 on both sides:
y = -1x + 2
So slope m = -1, y-intercept b = 2
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The table of 3 × 3 such that the sum of any row, column, or even diagonal is 30.3 has been created below.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
Subtraction = Minus of any two or more numbers.
The third grid in first raw will be → 39.3 - (14.9 + 10.7) = 13.7
The third grid in second raw will be→ 39.3 - (13.7 + 11.3) = 14.3
The 2nd grid of 2nd raw will be → 39.3 - (17.9 + 11.3) = 13.1
The 1st grid in 2nd column will be→ 39.3 - (13.1+14.3) = 11.9
The 1st grid of 3rd raw will be → 39.3 - (14.9+11.9) = 12.5
The 2nd grid of 3rd raw will be → 39.3 - (12.5 + 11.3) = 15.5
Hence "The table of 3 × 3 such that the sum of any row, column, or even diagonal is 30.3 has been created below".
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