To find the money at start let us use an equation
Since he puts $8 per week
Then his rate is 8
Since he has a total of $52 after some weeks
We must find the nearest number to 52 in table 8
Since 6 * 8 = 48 the nearest number to 52 in table 8
Then he did that for 6 weeks
52 = 8(6) + x
Let us find x
52 = 48 + x
Subtract 48 from both sides
52 - 48 = 48 - 48 + x
4 = x
He started with $4
What is the value of y^2-x^4y
2
−x
4
y, squared, minus, x, start superscript, 4, end superscript when y=8y=8y, equals, 8 and x=2x=2x, equals, 2?
The value of the given expression is -64.
what is value?
Any specific mathematical thing can, in general, have one mathematical meaning. The numeral or other mathematical object assigned to a vector, constant, or other mathematical object is its value. When the expression's variables and constants are given b, the formula stated in this expression yields the result of the mathematical equation.The number that a function assumes for each given value assigned toward its argument(s) is known as the function's value. Real-value variables, expressions, and functions simply assume real values. A complex-valued variables, expression, or function simply assumes complex values in the same way.Given expression:
y^2-x^4y
=y^2-x^4y
=y(y-x^4)
Putting value x=2, y=8
8(8-2^4)
=-64
The value of the given expression is -64.
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Find the missing length. Round to the nearest tenth if necessary. Find the missing side.
Given:
a = 4
b = 5
c = unknown
Let's find the length of c.
Here, we are given a right triangle, where c is the longest side.
The longest side of a right triangle is called the hypotenuse.
To find the hypotenuse, apply Pythagorean Theorem:
[tex]c^2=a^2+b^2[/tex]Input values into the equation above:
[tex]\begin{gathered} c^2=4^2+5^2 \\ \\ c^2=16+25 \\ \\ c^2=41 \end{gathered}[/tex]Take the square root of both sides:
[tex]\begin{gathered} \sqrt[]{c^2}=\sqrt[]{41} \\ \\ c=6.4 \end{gathered}[/tex]Therefore, the length of the missing side, c =
Please help me with this sample question.The sample questions only allow me to test each country once before moving to the next. I need all countries.
Let be "a" the number of medals that Country A won, "b" the number of medals that Country B won, and "c" the number of medals that Country C won.
You can set up the following System of equations using the information given in the exercise:
[tex]\begin{cases}a+b+c=119 \\ b=c+7 \\ a=b+c+33\end{cases}[/tex]In order to solve the System of equations, you can follow these steps:
1. Substitute the second equation into the third equation:
[tex]\begin{gathered} a=b+c+33 \\ a=(c+7)+c+33 \\ a=2c+40 \end{gathered}[/tex]2. Substitute this new equation and the second original equation, into the first original equation:
[tex](2c+40)+(c+7)+c=119[/tex]3. Solve for "c":
[tex]\begin{gathered} 4c+47=119 \\ 4c=119-47 \\ \\ c=\frac{72}{4} \\ \\ c=18 \end{gathered}[/tex]4. Knowing the value of "c", you can substitute it into the second original equation and then evaluate, in order to find the value of "b":
[tex]\begin{gathered} b=(18)+7 \\ b=25 \end{gathered}[/tex]5. Knowing the value of "b" and "c", you can substitute them into the third original equation and then evaluate, in order to find the value of "a":
[tex]\begin{gathered} a=b+c+33 \\ a=(25)+(18)+33 \\ a=76 \end{gathered}[/tex]Therefore, the answer is:
- Country A won 76 medals.
- Country B won 25 medals.
- Country C won 18 medals.
There are 19 racks of plates in City Restaurant. Each rack has 37 plates. Which choice shows the correct estimate of how many plates are on the plate rack?
A.
400
B.
600
C.
800
D.
1,000
Answer: c.800 that's the answer
The correct estimate of the number of plates on the plate rack is 800.
The number of racks of plates in the City Restaurant is 19.
The number of plates in each rack is 37.
We need to find the estimated number of the total plates on the plate rack in the City Restaurant.
To find the estimate, we will round off the numbers to the nearest ten.
Rounding a number implies simplifying it while retaining its value close to what it was. The end output is less precise but more usable.
The number of racks of plates is rounded off and becomes 20.
The number of plates in each rack is rounded off and becomes 40.
The total number of plates in the rack is given by the multiplication of the two numbers obtained.
The total number of plates on the plate rack is 20x40 = 800.
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The Heights(in inches)and the weight (in pounds)of a simplified women are recorded. round your answer to one decimal place ×=height. y=weight 66. 122 67. 13269. 15368. 13865. 125a) calculate the slope of B1 and the y-intercept Bl0) of the regression line. Write the regression equation.y= _____ x+_____b) Interest interpret the values of B1 and B0. For it each increase of 1 inches the estimate weight increase by_______ pounds. When x=0 inches weight the estimate weight is________ pounds
For the linear regression the dependent and independent variables are:
y: "weight of a woman" (measured in pounds)
x: "height of a woman" (measured in inches)
You have to calculate the estimated linear regression equation:
[tex]y^{}=b_{0\text{ }}+b_1x[/tex]Where
b₀ is the estimate of the y-intercept
b₁ is the estimate of the slope
To calculate both by hand you have to use the following formulas:
[tex]b_1=\frac{\sum ^n_1x_iy_i-\frac{(\sum^n_1x_i)(\sum^n_1y_i)}{n}}{\sum ^n_1x^2_i-\frac{(\sum ^n_1x_i)^2}{n}}[/tex][tex]b_0=y_{\text{bar}}+bx_{\text{bar}}[/tex]y bar and x bar are the sample means for the weight and height
n is the number of women observed, in this case the sample size is
n=5 women
Next calculate the needed summatories, i.e. add each obervation from the corresponding variables
∑xi= 335
∑xi²= 22455
∑yi=670
∑xiyi=44962
ybar=∑yi/n= 670/5=134 pounds
xbar=∑xi/n= 335/5=67 inches
Replace the values in the formulas:
Slope:
[tex]b_1=\frac{44962-\frac{335\cdot670}{5}}{22455-\frac{(335)^2}{5}}=7.20\text{ }\frac{pounds}{In}[/tex]y-intercept
[tex]b_0=134-7.20\cdot67=-348.4\text{pounds}[/tex]The estimated linear equation is:
y=-348.4+7.20x
b)
The y-intercept of the linear regression indicates the value of the estimated mean of the variable y when x equals zero.
The slope of the linear regresion insicates the change of the estimated mean of the variable y when the variable x increases one unit.
So in terms of this exercise you can interpret the y-intercept as:
-348.4pounds is the estimated average weight of women when their height is zero inches.
→ Note that this interpretation has no logical meaning, at least not one applicable in real life, but for the regression is a valid mathematical result and interpretation.
And the slope can be interpreted as:
7.2pounds/inches is the modification of the estimated average weight of weomen when their height increases 1 inch.
Multiply the sum of 4 and 5 by the difference of 14 and 8
We need to know the simple mathematical operations to solve this problem. The final answer on multiplying the sum of 4 and 5 by the difference of 14 and 8 is 54.
We have to use addition, subtraction and multiplication to solve the question. First we need to find the sum which means add 4 and 5. Next we need to find the difference between 14 and 8 which means we need to subtract 8 from 14. Finally we have to multiply both the values to get the final answer.
4+5=9
14-8=6
(4+5) x (14-8)=9 x 6=54
Therefore the final value that we get on multiplying the sum of 4 and 5 by the difference of 14 and 8 is 54.
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Which value of x is in the domain of f(a)V-14?A. X = 13B. X=0C. X = 20D. X= -1SUBMIT
the answer is C x=20
consider the following functions which all have a value of 30 does each equation represent growth or decay
The general equation forms representing growth or decay is;
[tex]\begin{gathered} F=I(1+r)^{t\text{ }}orF=I(1-r)^t \\ F\text{ is future value} \\ I\text{ is initial value} \\ r\text{ is growth rate} \\ t\text{ is time} \\ (1-r)\text{ represents decay} \\ (1+r)\text{ represents growth} \end{gathered}[/tex]So let us consider the equations;
a) f(t) = 30(1.04)^t
f(t) = 30(1+0.04)^t
It is growth as it is greater than 1 and the growth rate is 0.04 = 4/100 = 4%
b) p(x) = 30(0.65)^x
P(x) = 30(1-0.35)^x
it is decay as it is less than 1
Growth rate is 0.35 = 35/100 = 35%
c) A(x) = 30(1.10)^x
A(x) = 30(1 + 0.1)^x
it is growth as it is greater than 1
0.1 = 10/100 = 10%
d) h(t) = 30(0.98)^t
h(t) = 30(1-0.02)^t
It is decay since it is less than 1
growth rate is;
0.02 = 2/100 = 2%
e) s(t) = 30(0.77)^t
s(t) = 30(1-0.23)^t
it is decay as it is less than 1
0.23 is growth rate = 23/100 = 23%
f) B(t) = 30(1.2)^t
B(t) = 30(1+0.2)^t
It is growth since it is greater than 1
0.2 = 20/100 = 20%
A line passes through the point (−10, 4) and has a slope of 3/2. Write an equation in slope-intercept form for this line.
The equation of the line in slope intercept form is y = 3/2x + 19
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the equation of the line?The given parameters are
Slope, m = 3/2
Points, (x1, y1) = (-10, 4)
A linear equation is represented as
y = slope * x + y-intercept
i.e.
y = m(x - x1) + y1
So, we have
y = 3/2(x + 10) + 4
Expand
y = 3/2x + 15 + 4
Evaluate the like terms
y = 3/2x + 19
Hence. the linear equation is y = 3/2x + 19
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If a bank represents deposits with positive numbers and withdrawals as negative numbers, what could 6+ (-60) represent ?
Given:
A positive number shows a deposit
A negative number shows withdrawals.
Find-: What could $6+
-60 represent
Sol:
+6 represent is:
[tex]6\rightarrow\text{ Deposits}[/tex]-60 represent is:
[tex]60\rightarrow\text{ Withdrawals}[/tex]So the answer is:
$6 deposit followed by a $60 withdrawal
1,1,2,6,24,_,_,_,_,Explain and fill the sequence, write the explicit and recursive formula for the sequence
Given the sequence:
1, 1, 2, 6, 24
Let's fill in the sequence.
Here, we can see that the nth term is equal to the pprevious term multiplied by n.
First term: 1 x 1 = 1
Second term: 1 x 2 = 2
Third term: 2 x 3 = 6
Fourth term: 6 x 4 = 24
Fifth term: 24 x 5 = 120
Sixth term: 120 x 6 = 720
Seventh term: 720 x 7 = 5040
8th term: 5040 x 8 =40320
Hence, the sequence is:
1, 1, 2, 6, 24, 120, 720, 5040, 40320
The explicit formula of the sequence is:
[tex]a_n=a_{n-1}\ast n[/tex]For example to find the 6th term, we have:
[tex]\begin{gathered} a_6=a_{6-1}\ast6 \\ \\ a_6=a_5\ast6 \\ \\ a_6=120\ast6 \\ \\ a_6=720 \end{gathered}[/tex]We can see the 6th term is 720.
For the recursive formula, we have:
[tex]\begin{cases}a_1=1 \\ \\ n\ge2_{} \\ \\ a_n=a_{n-1}\ast n\end{cases}[/tex]ANSWER:
Sequence: 1, 1, 2, 6, 24, 120, 720, 5040, 40320
Explicit formula:
[tex]a_n=a_{n-1}\ast n[/tex]
Recursive formula:
[tex]\begin{cases}a_1=1 \\ \\ n\ge2_{} \\ \\ a_n=a_{n-1}\ast n\end{cases}[/tex]
Check each answer to see whether the student evaluated the expression correctly. If the answer is incorrect, cross out the answer and write the correct answer. Algebraic expressions 7p+5 when p=12Student answer7(12) +5 = 7(17) =119
Given the expression:
[tex]7p+5[/tex]We will find the value of the expression when p = 12
so, substitute with p = 12
[tex]7(12)+5=84+5=89[/tex]So, the student answer is incorrect
The correct answer will be 89
solve for k=prt for p
Solve the equation for y.y/a - 16 = h
we have
y/a - 16 = h
solve for y
that means -----> isolate the variable y
so
Adds 16 both sides
y/a=(h+16)
Multiply by a both sides
y=a(h+16)6. A newborn baby eats 8 times a day. At each feeding, he
eats 2.5 ounces of formula. How many ounces would the
baby eat in 1 week?
Answer:
140 ounces
Step-by-step explanation:
(8)(2.5)(7) = 140 ounces
what is 6^9 divided by 6^3
Answer:
Step-by-step explanation:
46656
Suppose Chris borrows $ 7000 at an interest rate of 8% compounded each year.Assume that no payments are made on the loan.Follow the instructions below. Do not do any rounding.(a) Find the amount owed at the end of 1 year$0(b) Find the amount owed at the end of 2 years.$0Х?
Explanation
The formula for the Amount based on compound interest is given as:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]Since the principal is compounded annually, therefore n =1. Also, P = principal = $7000, ratte = r = 8%, t= time
Hence when t = 1 year
[tex]\begin{gathered} A=7000(1+\frac{8}{100})^1 \\ A=7000(1.08) \\ A=7560 \end{gathered}[/tex]
Answer A: $7560
When t = 2 years
[tex]\begin{gathered} A=7000(1+\frac{8}{100})^2 \\ A=7000(1.08)^2 \\ A=8164.8 \end{gathered}[/tex]Answer B: $8164.8
I need urgent help with this math problem, please help me!
Answer:
See below
Step-by-step explanation:
The MONTHLY payment for each loan is just the interest and principal paid for each month
I just used the first line of each amortization:
First one 26 + 196 = $ 222 per month
Second one 26 + 127 = $ 153 per month
Sorry if the numbers are incorrect....the image is very fuzzy....
but this is the method for the answer .
1. Classify each angle pair as corresponding, alternate interior, alternate exterior,
same side interior, linear pair.
a) <1 and <5
b) <15 and <7
c) <11 and <1
d) <4 and <10
e) <8 and <13
f) <3 and <4
∠1 and ∠5 are a pair of corresponding angles.
∠15 and ∠7 are corresponding angles.
∠4 and ∠10 are a pair of alternate interior angles.
∠8 and ∠13 are a pair of co-interior angles.
∠3 and ∠4 are a pair of linear angles.
What are corresponding angles?
When two parallel lines are intersected by another line, comparable angles are the angles that are created in matching corners or corresponding corners with the transversal (i.e. the transversal).
What are alternate interior angles?
When a transversal connects two coplanar lines, alternate interior angles are created. They are located on the transverse sides of the parallel lines, but on the inner side of the parallel lines. At two different locations, the transversal passes through the two lines that are coplanar. These angles indicate whether or not the two provided lines are parallel to one another. When a transversal intersects two parallel lines, the angles that are created inside are equal to the alternate pairings of that transversal. Alternate interior angles are what they are termed.
What are alternate exterior angles?
The pair of angles on the outside of the two parallel lines but on the other side of the transversal are known as alternate exterior angles.
What are linear pair of angles?
When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as additional angles.
Following the above literature,
∠1 and ∠5 are a pair of corresponding angles since angles are created in matching corners or corresponding corners with the transversal.
∠15 and ∠7 are corresponding angles since angles are created in matching corners or corresponding corners with the transversal.
∠4 and ∠10 are a pair of alternate interior angles.
∠8 and ∠13 are a pair of co-interior angles.
∠3 and ∠4 are a pair of linear angles since pair's total angles are always equal to 180°.
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The approximate volume in milliliters, y, for a volume of x fluid ounces is equal to 29.57 times the value of x. Which table represents this relationship?
Step-by-step explanation:
volumes of liquor because these are the ones which have volume and cm can be changed to millimeters
0.51 + 6.1 = 6.61 because 0.51 is precise to the hundredth digit, so theanswer must also be rounded to the nearest hundredth.A. TrueB. False
When two decimal numbers are added, the result is precise to the one that has the least precision.
For example,
0.51 + 6.1
Here 0.51 is precise to the hundredth place and 6.1 is precise to the tenth place.
So, the result will be precise to the tenth place since this was the least precision in the operation.
0.51 + 6.1 = 6.6
find the intervals for the function Y=f(x) whose graph is given below is increasing and where it is decreasing and find the value of the absolute minimum
In this problem we have a vertical parabola open upward
the vertex represents the absolute minimum
Looking at the graph
the vertex is the point (1,-3)
therefore
the function is increasing at the interval (1, infinite)
the function is decreasing at the interval (-infinite, 1)
the absolute minimum is (1,-3)
The formula for the volume of a cone with a base of radius r is . Find the radius to the nearest hundredth centimeter if the volume is 60 cm^3. Branliest to first correct answer
Answer:
not ennough information to answer the question
Step-by-step explanation:
help meeeeeeeeee pleaseee
The domain of the line in the graph is x∈R.
What is a domain?The set of all potential inputs for a function is its domain. For instance, the domain of f(x)=x² and g(x)=1/x are all real numbers with the exception of x=0. Additionally, we can define special functions with more constrained domains. Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.So, the domain the line is:
From the given graph, we know that y = every time.Which means, in the given graph, y = x = 10.
This also means:
y = x = 9y = x = 11y = x = 10The values of x can go to infinity.
Then the domain will be x∈R.Therefore, the domain of the line in the graph is x∈R.
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The Inn at Fort Lee why
In this problem we have that
the solution is the shaded area above the dashed line
so
Find the equation of the dashed line
x -----> outside temperature
y ----> inside temperature
Find the slope
take the points (0,20) and (10,30)
m=(30-20)/(10-0)
m=10/10
m=1
the equation is
y=x+20
therefore
the inside temperature is always 20 degrees warmer than the outside temperature
answer is option BStella measured a line to be 12.4 inches long. If the actual length of the line is 9.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
measured 12.4 inches but it is 9.6, the error is 12.4 - 9.6 = 2.8 inches
2.8 inches in percentage with tespect to 9.6:
100 (2.8/9.6) = 280/9.6 = 29.2 %
Answer:
Error is 29.2% of the actual lenght (9.6)
1. In 2014, the population of Florida was 19,580,000. Write the 2014 population of Florida in scientific notation.
The population of Florida in scientific notation 1.958 x [tex]10^{7}[/tex]
What is Scientific notation?
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It can also be referred to as standard form in the UK, standard index form, or scientific form.
Given,
19,580,000
We know that,
19580000 = 1.9580000(10000000)
10000000 = [tex]10^{7}[/tex]
Substitute
1.9580000([tex]10^{7}[/tex])
or, 1.958 x [tex]10^{7}[/tex]
Hence, The 2014 population of Florida in scientific notation is equal to 1.958 x [tex]10^{7}[/tex]
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Betty's Auto Wash earns revenues of $14 per customer. After serving 6 customers, how much revenue will Betty's Auto Wash have?
Given data:
The given revenue earn per customer is $14.
The expression for the given statement is,
1 customer= $14
Multiply the above expression by 6 on both sides.
6(1 customer)=6($14)
6 customers=$84
Thus, revenue earn by 6 customers is $84.
Simplify: qp - 8m - m +1 - m; usee m= -3, p = 9, and q = 570-297616None of these answers are correct.
Answer:
76
Step-by-step explanation:
We are given the following expression:
qp - 8m - m + 1 - m
It can see simplified combining commom terms as:
qp + m(-8 - 1 - 1) + 1
Which is
qp - 10m + 1
Replacing m by -3, q by 5 and p by 9
5*9 - 10*(-3) + 1 = 45 + 30 + 1 = 76
I need help with the multiplication part to find the area
Explanation
Area:
[tex]A=\frac{16.5cm*12.8cm}{2}=\frac{211.2}{2}cm^2=105.6cm^2[/tex]