Answer:
7 miles / hour
Step-by-step explanation:
I'm taking this to mean she walked 3.5 miles. She did this 1/2 hour.
Givens
d (distance ) = 3.5 miles
t (time) = 1/2 hour
r (rate) = ?
Formula
r = d/t
Solution
The easiest way to do this is to change the fractions to decimals.
t = 1/2 = 0.5 hours
r = 3.5 / 0.5
r = 7 miles per hour.
if g(x) = |2x-9|, find g(2)+g(3)
A part-time handyman made $8798.04 last year. If he claimed himself as an
exemption for $3650 and had a $5700 standard deduction, what was his
taxable income last year?
Answer: HIs income was $6744.04
Step-by-step explanation: 8798.04 + 3650 - 5700 = 6744.04 Hope this helps!
The taxable income last year is $552.
What is Compound Interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It from simdiffers ple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
We have,
Last year, a part-time housekeeper earned $8798.
He claimed he was exempt, costing $365.
$570.00 is the standard deduction.
Gross income less the standard deduction and all exemptions equals taxable income.
= 8798 - 3650 - 5700
= $-552
The negative sign indicates that he owes no taxes.
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A motorboat moves across a lake at a constant speed. When it begins, it is 28
km from the shore. After 12 minutes, it is 4 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y=-12x+28
B. y=-2x + 28
c. y = 2x+28
D. y = 12x + 28
Answer: B. y= -2x+28
Steps:
In the equation, take,"y" as result of the distance of the motorboat from the shore.
Now take the "x" value as the time taken. And hold the unit of x as 12 because you already know that in 12 minutes the motorboat is 4km far from the shore. Then solve the four equations and find out which ones value of,"y" comes 4
After doing all the equations i m pretty sure you will that B. y= -2x + 28
y= -2 * 12 + 28
y= -24+28
y= 4
Answer:
The answer is B
Step-by-step explanation:
Please help me will give brainliest
Answer:
f(x) = 8.917x³ + 2x² + 0.083x - 7
Step-by-step explanation:
f(x)= y
Let the coefficients of x³, x², x be a, b, c and the constant be d
y= ax³ + bx² + cx + d
When y = -65, x = -2
-65= a(-2)³ + b(-2)² + c(-2) + d
-65= -8a + 4b - 2c + d ...eq. 1
When y = -14, x = -1
-14= a(-1)³ + b(-1)² + c(-1) + d
-14= -a + b - c + d ...eq. 2
When y = -7, x = 0
-7= a(0)³ + b(0)² + c(0) + d
-7 = d ...eq.3
When y = 4, x = 1
4= a(1)³ + b(1)² + c(1) + d
4= a + b + c + d ...eq. 4
when y = 78, x = 2
78 = a(2)³ + b(2)² + c(2) + d
78= 8a + 4b + 2c + d ...eq. 5
From eq. 3, d is - 7
putting d as - 7 in equations 1, 2, 4 and 5
In eq. 1,
-65= -8a + 4b - 2c - 7
-58= -8a + 4b - 2c ...eq. 6
In eq. 2
-14= -a + b - c - 7
-7= -a + b - c ...eq. 7
In eq. 4,
4= a + b + c - 7
11= a + b + c ...eq. 8
In eq. 5
78= 8a + 4b + 2c - 7
85= 8a + 4b + 2c ...eq.9
Subtracting eq. 9 from eq. 6
-143 = -16a - 4c... eq 10
subtracting eq. 8 from eq 7
-18= -2a - 2c
9= a + c
a = 9 - c ...eq 11
putting a as 9 - c in eq. 10
-143 = -16(9 - c) - 4c
-143 = -144 + 16c - 4c
1= 12c
c = 1/12 or 0.083
putting c as 1/12 in eq. 11
a = 9 - 1/12
a = 107/12 or 8.917
Putting a as 107/12 and c as 1/12 in eq. 8
11= 107/12 + b + 1/12
multiplying through by 13
132 = 107 + 12b + 1
132 - 108 = 12b
24= 12b
b = 24/12
= 2
Therefore, a= 8.917, b= 2, c= 0.083 and d = -7
f(x) = 8.917x³ + 2x² + 0.083x - 7
How much money will you spend on these items? Round to the nearest cent.
Shopping List:
2.75 pounds of grapes.
0.8 pounds of garlic
The grapes are $0.89 per pound.
The Garlic is $0.34 per pound. Please Help
Answer:
$2.72
Step-by-step explanation:
2.74x0.89=2.4475
0.8x0.34=0.272
2.447+0.272=2.719, rounded is 2.72
The property taxes on a house were $600. What was the tax rate if the house was valued at $100,000? Follow the problem solving and round your answer to the nearest hundredth of a percent, if necessary.
Based on the information given the tax rate if the house was valued at $100,000 is 60%.
Let $600= x%
Let $100,000=100%
Let the tax rate=x
Proportion:
600/100,000=x/100
Hence,
x=600×100/100,000
x=60,000/100,000
x=60/100
x=0.6%×100
x=60%
Inconclusion the tax rate if the house was valued at $100,000 is 60%.
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The tax rate of a house valued at $100,000 with a property tax of $600 is 0.6%. or $6 per $1,000 of property value.
What is property tax?The property tax is the levy imposed on the assessed value of the property of an individual or corporation.
Property tax is usually levied as a percentage of the assessed value.
Data and Calculations:Property tax = $600
House value - $100,000
Tax rate = 0.6% ($600/$100,000 x 100)
Thus, the tax rate of a house valued at $100,000 with a property tax of $600 is 0.6%. or $6 per $1,000 of property value.
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The table below shows the number of tadpoles in a pond after a certain number of months.
PLEASE HELP
===================================================
Explanation:
x = number of monthsy = number of tadpolesHighlight the rows that correspond to 6 months and 10 months.
This leads to the two points (6,330) and (10,460).
Apply the slope formula. This is because the slope is the average rate of change.
m = (y2-y1)/(x2-x1)
m = (460-330)/(10-6)
m = 130/4
m = 32.5
This is the average rate of change from month 6 to month 10.
Let A = 32.5 so we can compare it later.
---------------------------
Now let's focus on months 4 and 8
We get the two points (4, 300) and (8, 410)
Use the slope formula again
m = (y2-y1)/(x2-x1)
m = (410-300)/(8-4)
m = 110/4
m = 27.5
Let B = 27.5
--------------------------
For the third answer choice, we have the points (2,240) and (8,410)
Once again, use the slope formula.
m = (y2-y1)/(x2-x1)
m = (410-240)/(8-2)
m = 170/6
m = 28.33 approximately
Let C = 28.33
--------------------------
Lastly for choice D we have the points (4,300) and (10,460)
So,
m = (y2-y1)/(x2-x1)
m = (460-300)/(10-4)
m = 160/6
m = 26.67 approximately
Let D = 26.67
--------------------------
To recap everything, we found these four average rates of change for choices A through D
A = 32.5B = 27.5C = 28.33 (approximate)D = 26.67 (approximate)We see that A is the largest of that group. Therefore, the greatest average rate of change of that group is from month 6 to month 10. This is why choice A is the final answer.
please help ill mark brainliest
The value of the missing length is 20
Let the missing length be x
From Parallel lines and transversal theorem, we have that
If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.
Then, we can write that
[tex]\frac{x}{15} =\frac{16}{12}[/tex]
∴ [tex]x = \frac{15\times 16}{12}[/tex]
x = 20
Hence, the value of the missing length is 20
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Find the value of x.
950°
1280°
60°
x°
Answer:
x=77
Step-by-step explanation:
128+95+60+x=360
283+x=360
x=77
i need help with this problem ;-;
A pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%. It is known that from a particular production run impurity concentrations follow a normal distribution with a standard deviation of 0.4%. A random sample of 64 pills from a production run was checked, and the sample mean impurity concentration was found to be 3.07%. Testing at the 5% level the null hypothesis that the population mean impurity concentration is 3% against the alternative that it is more than 3%.
a. Calculate the p-value for this test.
b. Find the p-value for this test and draw your conclusion.
c. Suppose that the alternative hypothesis in part b had been two-sided rather than one-sided. Conduct your test using either the critical value or the p-value approach.
Answer:
c
Step-by-step explanation:
Marl me as brainliest answer c
The p-value for the given test is 0.0901.
Given that, a pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%.
What is a standard deviation?Standard deviation is the degree of dispersion or the scatter of the data points relative to its mean, in descriptive statistics.
Given, Mean = 3.07, μ=3%, σ =0.4% and n=64.
Hypothesis test [tex]H_{0}[/tex];μ=3 and [tex]H_{1}[/tex];μ>3
We need to test the null hypothesis against the alternative hypothesis, we reject the null hypothesis and accept the alternative hypothesis.
When x>x critical
x critical = μ+Z+σ
Z = (x-μ)/(σ/√n)
= (3.07-3)/(0.4/√64)
= (0.07)/0.05
= 1.4
α = 5 and [tex]z_{0.05[/tex]= 1.645
If Z>[tex]Z_{0.05[/tex]
1.4 > 1.645
Therefore, we do not reject null hypothesis at 5% significant level.
There is sufficient evidence that the mean impurity in concentration pills is 3% or less than 3%.
p-value
p−value=P(Z>1.4)
=1−P(Z<1.4)
=1−0.90988
=0.0901
Therefore, the p-value for the given test is 0.0901.
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Find a coordinate on the line.
y - 5 = 8(x + 2)
Question 3 options:
(8, 2)
(2, -5)
(-2, 5)
(-5, 2)
Answer:
(-2,5)
Step-by-step explanation:
this is long division… please help
Answer:
23.35
Step-by-step explanation:
Need help asap! Pls
Here is my solution, I hope it is helpful.
Answer:
x = 15
Step-by-step explanation:
167.1111111 round it to the nearest houndred
Please can u help me with this question
[tex]a) \\\\\dfrac {2x}{3} =8 \\\\\implies 2x = 8 \times 3 = 24\\\\\implies x = \dfrac{24}2 = 12\\\\b)\\\\\dfrac{3x}2 = 6\\\\\implies 3x = 6\times 2 = 12\\\\\implies x = \dfrac{12}3 =4[/tex]
HELPPPP PLEASE I will give brainliest and I put it up for 100 points
..................✨✨✨✨✨✨✨✨✨✨✨✨✨✨
Answer:
2xz⁵/y⁴Step-by-step explanation:
Given expression:
[tex]\frac{16x^2yz^{13}}{8xy^5z^8}[/tex]Simplify considering like terms:
16/8 = 2x²/x = xy/y⁵ = 1/y⁴z¹³/z⁸ = z⁵The simplified expression is:
2xz⁵/y⁴Solve for x in the following inequality: 3(-2x - 4) > 18
Answer:
x < -5
Step-by-step explanation:
3 ( -2x - 4 ) > 18
→ Expand the brackets
-6x - 12 > 18
→ Add 12 to both sides
-6x > 30
→ Divide both sides by -6
x < -5
Answer:
[tex]\boxed {\boxed {\sf x< -5}}[/tex]
Step-by-step explanation:
We are asked to solve the following inequality for x.
[tex]3(-2x-4) > 18[/tex]
Solve for x by isolating it and performing the inverse operations.
3 is being multiplied by (-2x-4). The inverse operation of multiplication is division. Divide both sides of the inequality by 3.
[tex]\frac {3(-2x-4)}{3} > \frac{18}{3}[/tex]
[tex](-2x-4) > \frac{18}{3}[/tex]
[tex]-2x-4 > 6[/tex]
4 is being subtracted from -2x. The inverse operation of subtraction is addition. Add 4 to both sides of the inequality.
[tex]-2x-4+4 > 6+4 \\[/tex]
[tex]-2x > 10[/tex]
x is being multiplied by -2. The inverse operation of multiplication is division. Divide both sides by -2.
[tex]\frac {-2x}{-2} > \frac {10}{-2}[/tex]
[tex]x> \frac {10}{-2}[/tex]
Since we divided by a negative number, the inequality sign must be flipped.
[tex]x< \frac{10}{-2}[/tex]
[tex]x < -5[/tex]
It takes 10 hours to type 4 reports how many hours does it take to type 15 reports
Answer:37.5 hrs
Step-by-step explanation:
15/4 = 3.75
3.75*10=37.5
The answer is 37.5 hours
Help on this algebra 2 question!!!!!!
Answer:
C.
Ax + 1 = x A + 1
Bx + 2 = x B + 2
Cx + 3 = x C + 3
A = x C + 3
B = x C + 3
C = x C + 3
I'm not really sure about the answer but i hope it helps
Find the equation of the line passing
through the points (4, 2) and (6,10).
y = [ ? ]x + [ ]
Answer:
y = 4x -14
Step-by-step explanation:
The required answer form is slope-intercept form, so we need the slope and the y-intercept of the line.
The slope equation is ...
m = (y2 -y1)/(x2 -x1)
m = (10 -2)/(6 -4) = 8/2 = 4
The y-intercept equation is ...
b = y - mx
b = 2 -4(4) = -14
The equation of the line is y = 4x -14.
basically almost finished it just stuck on the last part. The angle of elevation to a nearby tree from a point on the ground is
measured to be 46°. How tall is the tree if the point on the ground is 12 feetfrom the tree? Round your answer to the nearest tenth of a foot if necessary.
Answer:
12.4 ft
Step-by-step explanation:
Everything is done right so far.
Now to calculate the height of the tree, 12tan46, put the equation into a calculator.
Either a graphing calculator (make sure it is in degrees, not radians),
or the one on your phone (turn your phone landscape in the calculator app to get the trig functions.))
12tan46= 12.4 ft
Angles 1,2,3 and 4 are formed by two intersecting lines. State the single angle fact necessary to prove that m<1+m<2=m<2+m<3
The angle fact that is necessary to prove that m∠1 + m∠2 = m∠2 + m∠3 is: linear pair are supplementary.
Linear Pair/Angles on a Straight LineTwo angles on a straight line can be referred to as a linear pair.The sum of the angles of a linear pair equals 180 degrees (supplementary angles)Thus,
∠1 and ∠2 are on a straight line, therefore,
m∠1 + m∠2 = 180°
∠2 and ∠3 are on a straight line, therefore,
m∠2 + m∠3 = 180°
Thus:
m∠1 + m∠2 = m∠2 + m∠3
Therefore, the angle fact that is necessary to prove that m∠1 + m∠2 = m∠2 + m∠3 is: linear pair are supplementary.
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Mark each equation with the number that makes it true!
Answer:
Check step-by-step
Step-by-step explanation:
18 + s = 33 = (15)
27 = 9 • s = (3)
40 - s = 23 = (17)
5 • m = 35 = (7)
18/s = 3 = (6)
m/5 = 10 = (50)
m + 14 = 18 - m= (2)
m + m + 12 = 22 (5)
n + 7 = 18 (11)
n - 9 = 22 (31)
Have A good day! Let me know if this helps!
Pls help I’ll brainlest for correct answer you gotta graph it on the graph too
Answer:
Slope: -2/3
Y Intercept: 0,-3
Step-by-step explanation:
To find the slope, use the formula (y1-y2)/(x1-x2)
(1-(-1))/(-6-(-3))
-2/3
So the slope is: -2/3
If the slope is 3/2, then the using the formula of y=mx+b, we can find the y intercept (b)
y = -2/3x + b
insert any point of x and y
-1 = -2/3(-3)+b
-1=-2+b
so b = -3
thus, the Y intercept is 0,-3
See graph attached for graph
Sal bought x shares of a stock that sold for 31.50 per share. He paid a 1% commission on the sale. The total cost of his investment, including the broker fee, was $5,726.70. How many shares did he purchase.
Answer:
180
Step-by-step explanation:
add 1% to 31.50 to get 31.815
then take the total 5276.70 and divide by 31.815
19.1 x 8.6 step by step.
Answer:
The is answer is 19.1x8.6= 164.26
Step-by-step explanation:
A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed of the stream
Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.
First, remember the relation:
Distance = Speed*Time.
Now let's define the variables we will be using:
B = boat's speedR = river's speed.When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:
54km = (B + R)*2h
When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:
57km = (B - R)*3h
Then our system of equations is:
54km = (B + R)*2h
57km = (B - R)*3h
To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:
57km = (B - R)*3h
57km/3h + R = B
19 km/h + R = B
Now we can replace that in the other equation:
54km = (B + R)*2h
54km/2h = B + R
27 km/h = B + R = (19 km/h + R) + R
Now we can solve this for R:
27 km/h = 19km/h + 2*R
27 km/h - 19km/h = 2*R
8 km/h = 2*R
(8km/h)/2 = 4km/h = R
Now that we know the value of R, we can use:
B = 19 km/h + R = 19 km/h + 4km/h = 23 km/h
So the boat's speed is 23km/h and the river's speed is 4km/h.
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Determine whether each graph shows a positive correlation, a negative
correlation, or no correlation. If there is a positive or negative correlation,
describe its meaning in the situation.
Answer:
\huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂
Answer:
Negative correlation
Step-by-step explanation:
As TV hours increase, exercise hours decrease.
f(x) = x2. What is g(x)?
Answer:
the answer is A. g(x) = -x^2 - 4
Step-by-step explanation:
hope this helps! :)
