Answers
Answer:
x = 3.236
Step-by-step explanation:
Related Questions
How many students spent less than 61 mins studying
6
11
12
17
Answers
Answer: 17
Step-by-step explanation:
Line L1 has gradient 2 and is perpendicular to line L2. Line L2 passes through the point P(2, 1).
Find the x-coordinate of the point where L2 meets the x-axis.
Answers
Answer:
line L1 and line L2 passes L2.
The x-coordinate of the point where L2 meets the x-axis is (1, 4).
What is the Point-slope form?The equation of the straight line has its slope and given point.
The equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)
m is the slope of the unknown line (x₀, y₀) is the given point.
First is to get the slope of the known line:
The standard equation of the line
y = mx+c, it can be seen that m = 2
Then we will calculate the slope of the required line.
Since L1 is perpendicular to L2, the product of their slope will be -1 so,
mm₁ = -1 where m₁ is the slope of the required line L2.
Given m =2
m₁ = -1/m
m₁ = -1/2
Now we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;
y-y₀ = m(x-x₀)
Given (x₀, y₀) = (2, 1) and m₁ = -1/2
y-2 = -1/2(x-1)
open the parenthesis;
y-2 = -x/2+1/2
multiply through by 2:
2y-4 = -x+1
2y+x = 1+4
2y+x = 5
Hence, the equation of the line L2 is 2y+x = 5
Therefore, the x-coordinate of the point where L2 meets the x-axis is (1, 4).
Learn more about slope here:
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A few weeks ago, Tori bought 4 apples from her local farmers' market. Today, she bought 3 apples. What is the percent of decrease in the number of apples bought?
Answers
Answer:
25%
Step-by-step explanation:
(original value - new value / original value) x 100
So
4 - 3 = 1
1/4 = 0.25
0.25 x 100 = 25
So there was a 25% decrease in the number of apples bought.
Hope it helps :)
Given the function h(x) = 7 + 2x, find the value of h(6)
Answers
Answ 21?
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
The value of h(6) can be found by substituting 6 into the given equation where x is.
h(6)=7+2(6)=7+12=19
Which shape is simulator shape one
Answers
Answer:
B
Step-by-step explanation:
Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)
Answers
Answer:
x=[tex]\sqrt{220}[/tex]
Step-by-step explanation:
Since this is a right angle triangle, and we have two lengths already found, we can use pythagoras to find x.
We know that
a²+b²=c²
Where a, and b are the smaller lengths (the adjacent and opposite), and C is always the longest one (the hypotenuse).
In this case,
x=a
b=6
c=16
So to plug these into the equation, we get:
x²+6²=16²
To isolate x,
we get:
x²=16²-6²
x=[tex]\sqrt{16^2-6^2}[/tex]
[tex]x=\sqrt[]{220}[/tex]
_________
[tex] \: [/tex]
x² = 16² - 6²
x² = 256 - 36
x² = 220
x = √220
x ≈ 14.9cm
Anna Page, a teacher, earns $1.320 semimonthly. If the school's insurance plan costs a total of
$2,868 and it pays 75 percent of the cost, how much is deducted from each of Page's
paychecks?
Do Hors senderized Meta RecticeMelvin divers, a traveling salesman, has company medical
this
insurance as well as travel insurance. The company he works for pays 60 percent of the
medical insurance and 90 percent of the travel insurance. If the medical insurance has an
annual cost of $3,500 and the travel insurance costs $1,200 per year, what total amount is
deducted from his weekly paycheck for insurance?
A. $2923 B.-561.15 G365 D. 59.04
Answers
$2923
Because it can’t be an negative answer and has to be reasonable
(a) The amount that is deducted from each of Page's paychecks semimonthly is $717.
(b) The amount deducted per week is option A, $29.23.
(a) Given that:
The amount earned by Page semimonthly = $1320
Total cost for the insurance plan = $2868
The school pays 75 per cent of the cost.
The percentage of the insurance cost that Page has to pay = 100% - 75% = 25%.
The amount deducted from the paycheck of Page is:
A = 25% × $2868
= $717
(b) Given that:
The annual cost of medical insurance = $3500
The percentage of this insurance he has to pay = 100% - 60% = 40%.
Annual deduction from his paycheck = 40% × 3500
= $1400
The annual cost of travel insurance = $1200
The percentage of this insurance he has to pay = 100% - 90% = 10%.
Annual deduction from his paycheck = 10% × 1200
= $120
Total amount deducted per year = $1400 + $120
= $1520
Number of weeks in a year = 52 weeks
The amount deducted per week = [tex]\frac{1520}{52}[/tex]
= [tex]$29.23[/tex]
Hence, the correct option is A. $29.23.
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(x-x)(x+1)-x ( x+2)
(x-1) (x^3+x^2+x+1)
Answers
Answer:
−x^6−2x^5+x^2+2x
Step-by-step explanation:
28 is 40% of what number
Answers
Answer:
70 i think i dont know for sure
Step-by-step explanation:
40 x 70
__________
100
= 28
Solve for x: x-2 =10
Answers
X - 2 = 10
To solve for x add 2 to both sides of the equal sign:
X = 12
Answer:
x = 12
Step-by-step explanation:
Add 2 to both sides of the equation
x−2=10
−2+2=10+2
Simplify
Solution:
x = 12
The angles in a quadrilateral are 103.8° , 77° , 111.4° and p°. Calculate the value of p.
Answers
Answer: 67.8°
Step-by-step explanation:
A quadrilateral's interior angles always add up to 360°.
An equality statement can be set up to satisfy this rule:
103.8+77+111.4+p=360
Collect known values
292.2+p=360
Isolate and solve for p
292.2 (-292.2) +p=360 (-292.2)
p=67.8
Answer:
68.6
Step-by-step explanation:
hello sir / mam!
as the opposite sides of quadrilateral should be 180°
111.4+p=180°
p=180-111.4
p=68.6°
therefore the value of p = 68.6°
hope it helps!
Write the quadratic equation the has the roots (-1-√2)/3 and (-1+√2)/3 if its coefficient with x^2 is equal to...1
Answers
Step-by-step explanation:
x1+x2 = (-1-√2)/3 + (-1+√2)/3
= -2/3
(x1) (x2) = (-1-√2)/3 × (-1+√2)/3
= -1/9
the equation :
x² -(-2/3)x + (-1/9) = 0
x² + ⅔ x - 1/9 = 0
Explain the relationship between place values, and how the place values change as you go to the left and to the right. Use the numbers 10, 1, and 0.1 in your explanation.
Answers
Answer:
the place value changes by dividing by 10 or multiplying by 10. take one and go right on the number line you get 10. go left from 1 and you get 0.1
Graph the following features:
Y-intercept = -2
Slope = 1
Answers
Answer:
Follow the steps below!
Step-by-step explanation:
If you're provided with a graph then use that, but if not, draw it with a scale of 1 unit per 1 tick and all four quadrants.
Start at -2 on your y-axis (two ticks down from the origin the vertical line) and draw a dot or cross. Then, go to the right one tick and up one tick and draw another dot or cross. If you do this again, you should have made a mark on the x-axis (horizontal line). All you need to do is draw a straight line connecting the points you plotted with arrows on the end. You can use a ruler or other straight edge if straight lines are a challenge to draw.
John makes $8.25 per hour after he got a 50 cent raise. Write the equation
Answers
Answer:
8.25+50
Step-by-step explanation:
A student graphed f(x) = x and g(x) = -5f(x) + 2 on the same coordinate grid. Which statement describes how the graphs of f(x) and g(x) are related?
The graph of f(x) is translated 5 units up to create the graph of g(x).
The graph of g(x) is translated 2 units down and is less steep than the graph of f(x).
The graph of f(x) is translated 5 units down to create the graph of g(x).
The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).
Answers
Answer:
ME TOO
Step-by-step explanation:
Function transformation involves changing the position of a function.
The relationship between f(x) and g(x) is (d) The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).
The functions are given as:
[tex]\mathbf{f(x) = x}[/tex]
[tex]\mathbf{g(x) = -5f(x) + 2}[/tex]
Substitute x for f(x) in g(x)
[tex]\mathbf{g(x) = -5x + 2}[/tex]
The +2 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) is gotten by translating f(x) up by 2 units.
The -5 in [tex]\mathbf{g(x) = -5x + 2}[/tex] means that, g(x) has a steeper slope.
Hence, the correct option is (d)
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Rationalize the denominator.
– 5x4
✓4x +7
Answers
The question is asking us to make the denominator a rational function by finding a way to remove the square root without changing the value of the overall function.
We can do this by multiplying the denominator and numerator by the √(4x + 7), since multiplying a root term by that root term = the number being rooted (√x × √x = x).
- 5x⁴ × √(4x + 7) = (-5x⁴)(√(4x + 7))
√(4x + 7) √(4x + 7) 4x + 7
1. (3n+2)(n+3)
this is multiplying binomial by a binomial
Answers
Using the distributive property with FOIL:
(3n + 2) ( n + 3)
3n² + 9n + 2n + 6
3n² + 11n + 6
PLS HELP IN HURRY
*** Which statement best describes the explanatory and response variables in the regression model?
O In the quadratic regression model, the explanatory variable is time and the response variable is the height.
O In the quadratic regression model, the explanatory variable is the height and the response variable is time.
O In the trigonometric regression model, the explanatory variable is time and the response variable is the height.
O in the trigonometric regression model, the explanatory variable is the height and the response variable is time.
Answers
Answer:
A. In the quadratic regression model, the explanatory variable is time and the response variable is the height.Step-by-step explanation:
The explanatory variable (or the independent variable) always belongs on the x-axis (represented as the first column of the table).
The response variable (or the dependent variable) always belongs on the y-axis (represented as the second column of the table).
According to the explanation above the correct choice is A
Answer:
C: In the trigonometric regression model, the explanatory variable is time and the response variable is the height.
Step-by-step explanation:
A quadratic regression model is a parabola. If time is x and height is y, it doesn't make sense if the height is 3,600 feet after a minute. (Not to scale) A trigonometric regression model is a sine wave like a sound wave. This makes sense because the Ferris wheel can only go so high. So after a minute, the height might be 8 feet. (Not to scale)
An explanatory variable is what what you manipulate or observe changes in.
A response variable is what changes with the explanatory variable.
For example, age would be an explanatory variable while height would be the response variable. Or, a caffeine dose would be explanatory, while say reaction time would be the response.
9000 dollars is placed in an account with an interest rate of 8%. How much will be in the account after 17 years, to the nearest cent?
Answers
Answer:
$21,240
Step-by-step explanation:
8 percent *9000 =
(8:100)*9000 =
(8*9000):100 =
72000:100 = $720 per years of interest
720* 17
= 12,240
12,240+9,000
= 21,240
guy pls help me!!!!!
Answers
Answer:
Straight line is 180 degrees
Subtract what you know 180-55-90 = 35
(6r-7)=35
35-7=28
28/6=4.66666
r=4.6666
Answer:
7
Step-by-step explanation:
90(right angle) + 55(Acute angle) = 145.
We know the whole angle equals 180 because it is 2 right angles. 90 + 90.
So, we will do 180 - 145 = 35.
Now we know our mystery angle equals 35.
To figure out r, we will do 35 + 7 = 42.
Then, 42 is divided by 6 and gets 7.
Therefore, 7 would be your answer.
-kiniwih426
2(x + 4) – 3(x – 6) + 5(x + 1) Simplified completely.
Answers
Answer:
4x+31
Step-by-step explanation:
2(x + 4) – 3(x – 6) + 5(x + 1)
Distribute
2x+8 -3x+18 +5x +5
Combine like terms
2x-3x+5x +8+18+5
4x+31
55000/500 in standard form
Answers
Answer:
i think it is 110
Step-by-step explanation:
sorrt if i am wrong
Simplify (5 +3i)+(-7-4i)
Answers
help asap plz with my math hw, i will give you thanks and 5stars
Answers
Answer:
it would be 15 or 14 that only came up when I did it
Step-by-step explanation:
An article reports that men over 6 feet tall earn more than men under 6 feet, with these numbers: average 6 foot plus male’s salary $55,000, average male’s salary under 6 foot tall of $47,000, with a p-value of 0.45. Based on that reported p-value, and using the common definition of "statistical significance," which is the case?
a. With that p value, the results are not significant.
b. The salary differences are statistically significant.
c. The salary differences are not statistically significant.
d. With that p value, the differences are very close but not statistically significant.
Answers
Answer:
A
Step-by-step explanation:
The salary differences are found to be statistically significant.
What is Statistical Significance?Statistical significance refers to the claim that a result from data generated by testing or experimentation is not likely to occur randomly or by chance but is instead likely to be attributable to a specific cause.
It is given that
Average 6 foot plus male’s salary = $55,000
Average male’s salary under 6 foot tall = $47,000
p-value = 0.45
As the p-value 0.45 is greater than p-value 0.05,
So statement men over 6 feet tall earn more than men under 6 feet is acceptable, we can say that salary differences are statistically significant.
Therefore, The salary differences are found to be statistically significant.
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please help me to solve problems
Answers
Step-by-step explanation:
4a)
the principle of similar triangles : they have the same angles.
and we do not forget : the sum of all angles in a triangle is always 180 degrees.
a = 180 - 65 - 45 = 70 degrees
b = 65 degrees
c = 70 degrees
b)
same principles.
x = 58 degrees
y = 52 degrees
z = 180 - 58 - 52 = 70 degrees
c)
same principles.
plus the fact that complementary angles around a point on one side of a line are also together 180 degrees.
x = 85 degrees
y = 180 - 40 - 85 = 55 degrees
z = 180 - 85 = 95 degrees
d)
again same principles.
y = 2x (as these 2 angles correspond to each other among the 2 similar triangles).
the angle POQ is again complementary with 87 degrees,
POQ = 180 - 87 = 93 degrees
x + y + 93 = x + 2x + 93 = 180
3x = 87
x = 29 degrees
y = 2x = 2×29 = 58 degrees
(1 – xi)(5 – i) – (1 + 3xi)(5 – i)
-
Simply
Answers
Answer:
-20xi -4x
Step-by-step explanation:
a video store is selling previously owned dvds for 40% off the regular price of $15. what is the sale price of the dvds.
Answers
Answer:
$9
Step-by-step explanation:
A video store is selling previously owned DVDs for 40% off the regular price of $15. What is the sale price of the DVDs?
40% = 0.4
15 * 0.4 = $6 (Discount)
15 - 6 = $9 (Sale Price)
Therefore the Answer is: $9
please help I dont understand
Answers
Answer:
3rd option
Step-by-step explanation:
A direct variation is expressed in this form:
y = kx
1. y - 4x = 8
y = 4x + 8 is not a direct variation
2. y + 2 = 7x
y = 7x - 2 is not a direct variation
3. y - 3x = 0
y = 3x is a direct variation
4. y = 5x - 2
y = 5x - 2 is not direct variation