Answer:
The value of x is 0.624.
Property used: Symmetric property of equality
Step-by-step explanation:
The expression to be solved is:
[tex]f (x) = 2.5\cdot (6.25x+0.5)-11[/tex]
Compute the solution as follows:
[tex]f (x) = 2.5\cdot (6.25x+0.5)-11[/tex]
[tex]=(2.5\times 6.25\ x)+(2.5\times 0.5)-11[/tex]
∵ Distributive property (a (b + c) = ab + ac)
[tex]=15.625x+1.25-11\\=15.625x-9.75[/tex]
Substitute equation equal to 0 to compute the value of x as follows:
[tex]0=15.625x-9.75\\\\15.625x=9.75\\\\[/tex]
∵ Symmetric property of equality if a = b then b = a
[tex]x=\frac{9.75}{15.625}\\\\x=0.624[/tex]
Thus, the value of x is 0.624.
Answer:
lol
Step-by-step explanation:
1.) 2.5(6.25x + 0.5) = 11
2.) 15.625x + 1.25 = 11
3.) 15.625x = 9.75
4.) x = 0.624
Reason
1.) Given
2.) Distributive Property
3.) Subtraction Property of Equality
4.) Division Property of Equality
simplify -5^5 ÷ -5^-6
Answer:
5^11
Step-by-step explanation:
-5^5 ÷ -5^-6
5^5 divide 5^-6
5^11
Find the sum 5/10 plus 3/100
Answer:
53/100
Step-by-step explanation:
The first step is to find the common denominator of the two fractions. Since 10*10=100, you are adding 50/100 and 3/100. 50/100+3/100=53/100. Hope this helps!
Which is NOT a multiple of 15?
Answer:
2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16 and anything else after 16
Step-by-step explanation:
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
Try it -3 squared is 9 -4 squared is 16 , 9+16 = 25 so [tex]x^{2} +y^{2} =25[/tex]
Answer:
The answer is B
Step-by-step explanation:
If you look on your picture the circle is 5 on the y axis and -5 on the y axis. and is on 5 on the x axis and -5 on the x-axis makes it 5^2 which equals 25
So if you look on the attachment i provided you can see what i mean. I graphed all equations you had you can see what i mean
A plane is flying at an altitude of 13,100 ft. The angle of depression from the plane to a control tower is 12º. What is the horizontal distance from the plane to the tower? Answer rounded to the nearest tenth of a foot.
Answer:
The horizontal distance from the plane to the tower is 2784.5 feet.
Step-by-step explanation:
From the given question, the height of the control tower is not given. But;
Tan θ = [tex]\frac{Opposite side}{Adjacent side}[/tex]
Tan [tex]12^{0}[/tex] = [tex]\frac{x}{13100}[/tex]
x = 13100 × Tan [tex]12^{0}[/tex]
= 2784.4910
Thus, x = 2784.5 feet
Therefore, the horizontal distance from the plane to the tower is 2784.5 feet.
Answer:
The horizontal distance from the plane to the control tower is 61630.7 ft.
Step-by-step explanation:
Here we have that
Height of flight of plane = 13,100 ft = Opposite side of angle of elevation
Angle of depression from the plane to the control tower = 12°
Therefore, the control tower can be sighted on a straight (hypotenuse) line from the plane with an angle of depression of 12°
Angle of depression from the plane to the control tower = Angle of elevation from the control tower to the plane = 12°
Horizontal distance from the plane to the control tower = Adjacent side of the hypotenuse of the right triangle = (Opposite side of angle of elevation) ÷ (Tangent of angle of elevation)
∴ Horizontal distance from the plane to the control tower = 13,100/(tan(12°)
Horizontal distance from the plane to the control tower = 61630.7 ft. to the nearest tenth of a foot.
Write the factors for the following numbers.
16, 36, 56, 48, 7
A cyclinder has a volume of 703Pi cm3 and a height of 18.5 cm. What can be concluded about the cyclinder? Check all that apply. The formula for the volume of a cyclinder can be applied to find the area of the base. To find the area of the base, multiply volume and height. The radius of the cyclinder is half the height. The area of the base is 38Pi cm2. To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.
The answer are A,D,and E
Answer:
A. The formula for the volume of a cyclinder can be applied to find the area of the base.
D. The area of the base is 38Pi cm2.
E. To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.
I hope this helped
What is the value of x in the equation 1.5(x+4)-3=4.5(x-2)
Answer:
x = 4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
1.5(x + 4) - 3 = 4.5(x - 2)
1.5x + 6 - 3 = 4.5x - 9
1.5x - 4.5x = -9 - 6 + 3
-3x = -12
x = -12/-3
x = 4
Which of these is not a possible r-value?
ОА. 1.2
Ов. 0.5
Ос. -0.75
OD. -0.1
Answer:
Step-by-step explanation:
A
Pendulum formula need help asap
Answer:
T = 2*PI* sq root (L / g)
Squaring both sides
T^2 = 4PI^2 * L/g
g = 4PI^2 * L / T^2
g = 4PI^2 * 1 / (3.27)^2
g = 39.4784176044 * 1 / 10.6929
g = 3.6920215848
(Wikipedia says 3.72076, so I'd say the calculation is correct).
Step-by-step explanation:
18 POINTS will rate brainiest 6th grade math
Answer:
18 ft^2
Step-by-step explanation:
The area of a parallelogram is A=bh.
The area would be A = 9*4.
A = 36
To find the area of one trapezoid you divide the area of the parallelogram by 2.
36/2 = 18 ft^2
Daniel drives his car 374 miles using 22 gallons of gas. How many miles per gallon does his car get?
Answer:
17 will be answer .....
Step-by-step explanation:
He gets 374 miles on 22 gallons ....
Amounts of miles per gallon is 374÷22
= now divide it and answer will come 17 ........
Daniel gets the car 17 miles per gallon
The calculation can be done as follows
Daniel drives the car for 374 miles
He uses 22 gallons of gas
The miles per gallon can be calculated as follows
= 374/22
= 17
Hence the answer is 17 miles per gallon
Please see the link below for more information
https://brainly.com/question/22099933?referrer=searchResults
What are the solutions to this quadratic equation? x^2+6x-5=0
Answer:
[tex]x = -3+\sqrt{14} \\x=-3-\sqrt{14}[/tex]
Step-by-step explanation:
x + 6x - 5 = 0
Since you can't factor the equation, use the quadratic formula.
Your equation is already in the form of ax + bx + c.
[tex]x=\frac{-b\frac{+}{} \sqrt{b^{2} -4ac} }{2a}[/tex]
Based on your equation a = 1 b = 6 c = -5. Plug in the numbers and solve for x.
[tex]x = \frac{-6\frac{+}{} \sqrt{6^{2} -4(1)(-5)} }{2(1)} \\x = \frac{-6\frac{+}{} \sqrt{36+20 } }{2} \\x=\frac{-6\frac{+}{}\sqrt{56} }{2} \\x=\frac{-6\frac{+}{}2\sqrt{14} }{2} \\\\x = -3+\sqrt{14} \\x=-3-\sqrt{14}[/tex]
The mean hourly wage for employees in industries is currently $24.57. Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the U.S industries. a. State the null and alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the U.S industries. b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. c. With α = .05 as the level of significance, what is your conclusion? d. Repeat the preceding hypothesis test using the critical value approach.
Answer:
(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = $24.57
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] $24.57
(b) The P-value of the test statistics is 0.1212.
(c) We conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries using P-value approach.
(d) We conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries using critical value approach.
Step-by-step explanation:
We are given that a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the U.S industries.
Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour.
Let [tex]\mu[/tex] = population mean hourly wage in the manufacturing industry.
(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = $24.57 {means that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] $24.57 {means that the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the U.S industries}
The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean wage in the manufacturing industry = $23.89/hr
σ = population standard deviation = $2.40/hr
n = sample of employees from the manufacturing industry = 30
So, the test statistics = [tex]\frac{23.89-24.57}{\frac{2.40}{\sqrt{30} } }[/tex]
= -1.55
The value of z test statistics is -1.55.
(b) Now, the P-value of the test statistics is given by;
P-value = P(Z < -1.55) = 1 - P(Z [tex]\leq[/tex] 1.55)
= 1 - 0.9394 = 0.0606
For two-tailed test P-value is calculated as = 0.0606 [tex]\times[/tex] 2 = 0.1212
Since, the P-value of the test statistics is higher than the level of significance as 0.1212 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries.
(d) Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.
Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries.
What’s the value of x?
Answer:
x=8
Step-by-step explanation:
4x+7x+2=90
11x=88
x=8
Select the decimal that is equivalent to 14/40
A. 0.28
__
B. 0.28
C. 0.376
__
D. 0.376
Answer:
it is 0.35
Step-by-step explanation:
but is it not listed??
The equivalent decimal will be 0.35
How to convert fraction into a decimal?In order to convert from fraction to decimal, we have to simlpy divide numerator by the denominator.
So according to asked question we have to convert 14/40 into equivalent decimal.
So we have just devide 14 by 40 whiuch will be 14÷40=0.35
Therefore, the equivalent decimal will be 0.35
Learn more about the conversion of fraction into a decimal
here: https://brainly.com/question/1306233
#SPJ2
Write the intersection and union of N and W.
N being the definition of a Natural Number {1,2,3,4} and W being Whole numbers {0,1,2,3,4}
Answer:
N n W = {1,2,3,4}
N u W = {0,1,2,3,4,}
Step-by-step explanation:
N n W = {1,2,3,4}
N u W = {0,1,2,3,4,}
n - intersection means the common elements between N and W
U - represents all elements within N and W
help asap !! you will get branliest.
Answer:
The answer is option 1.
Step-by-step explanation:
You have to cube root to both sides in order to find p :
[tex] {p}^{3} = 8[/tex]
[tex] \sqrt[3]{ {p}^{3} } = \sqrt[3]{8} [/tex]
[tex]p = \sqrt[3]{8} [/tex]
Work out the volume of the solid shape
Give your answers in terms of pi please
*The complete question is in the picture attached below.
Answer:
756πcm³
Step-by-step Explanation:
The volume of the solid shape = volume of cone + volume of the hemisphere.
==> 270πcm³ + ½(4/3*π*r³)
To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.
Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.
==> Volume of cone = ⅓πr²h
⅓*π*r²*10 = 270π
⅓*10*r²(π) = 270 (π)
10/3 * r² = 270
r² = 270 * ³/10
r² = 81
r = √81
r = 9 cm
Thus, volume of hemisphere = ½(4/3*π*r³)
==> Volume of hemisphere = ½(⁴/3 * π * 9³)
= ½(972π)
Volume of hemisphere = 486πcm³
Volume of the solid shape
= volume of cone + volume of the hemisphere.
==> 270πcm³ + 486πcm³
= 756πcm³
Ryan earned money babysitting. He earned $40, $40, $51, $32 and $22. Find the mean amount he earned.
Answer:
$37
Step-by-step explanation:
To find the mean you add up all the numbers you are given and divide the result of that by the amount of numbers.
40+40+51+32+22=185
185/5=37
The circumference of a circular field is 163.28 yards. What is the diameter of the field? Use 3.14 for it and do not round your answer.
Simplify.
I need the answer to the question above.
Answer:
Third answer.
Step-by-step explanation:
To simplify, we can factor 'x' from the equation, giving us:
[tex]\frac{x(1)}{x(4 + x)} = \frac{1}{x+4}[/tex]
However, we must put a domain restriction to ensure that the denominator will not equal 0. This means that 'x+ 4' cannot equal zero. Therefore, x ≠ -4.
The third answer is correct.
Evaluate this expression: 15C4
Answer:
60c
Step-by-step explanation:
15c(4)
15c*4=60c
If this wasn't how your problem was written please let me know
The price of the house is originally listed at 115,000. The owners are having a hard time selling it and decide to reduce the price to 103,500. What is the percentage decrease of the price of the house ?
Answer:
percentage of decrease in price of house=103,500/115,000×100%=90%
An experiment consists of spinning a spinner. Use the results in the table to find the experimental probability that the spinner does not land on yellow. Express your answer as a fraction in simplest form.
Red = 12
Blue = 10
Yellow = 6
A. 11/14
B. 3/7
C. 4/7
D. 3/14
Answer:
A. 11/14
Step-by-step explanation:
i hope this helps :)
The Probability of an Event P(E) is that the spinner does not land on yellow is 11/7.
An experiment consists of spinning a spinner.
Red = 12
Blue = 10
Yellow = 6
We have to determine,
The experimental probability is that the spinner does not land on yellow.
The total number of spinner= 12+10+6
The total number of spinner=28.
What is the formula for the experimental probability?Probability of an Event P(E) = Number of times an event occurs / Total number of trials.
The number of trials to not land on yellow is,
12+10=22
Therefore the Probability of an Event P(E) is given by,
[tex]P(E)=\frac{22}{28}[/tex]
[tex]P(E)=\frac{11}{14}[/tex]
Therefore option A is correct.
To learn more about the probability visit:
https://brainly.com/question/25870256
Point: (2,7)
Reflected across y-axis: (-2,7)
Reflected across x-axis: ????
My options for the answer is
(-7,-2)
(-2,7)
(2,-7) which answer is it I have already tried the first one and it said it was wrong.
Answer:
(2,-7)
Step-by-step explanation:
Reflection rule for across the x-axis: [tex](x,y)\rightarrow (x,-y)[/tex]
Using the rule and point (2,7):
[tex](2,7)\rightarrow(2,-7)[/tex]
(2,-7) should be the correct answer.
Brainilest Appreciated.
Brian had 42 class fair tickets to sell. He sold 5/6 of the tickets. How many tickets did Brian sell?
Answer:
35
Step-by-step explanation:
100 PTS PLEASE HELP IM BEGGING YOU
Answer:
2√14.
This means that we can rewrite the square root of the product as the product of the square roots. We know 56=4⋅14 , so this allows us to rewrite √56 as. √4⋅√14. This simplifies to 2√14.
Step-by-step explanation:
The square root of 56 is the irrational number with approximate value 7.48331 and exact value 2√(14).
HELP PLEASEE URGENT!!!!
Which description best fits the distribution of the data shown in the histogram?
skewed right
skewed left
uniform
approximately bell-shaped
Ivan and Javier manipulated the rational expression
6
x
+
4
12
x
+
4
12x+4
6x+4
start fraction, 6, x, plus, 4, divided by, 12, x, plus, 4, end fraction. Their responses are shown below.
Ivan Javier
3
x
+
2
6
x
+
2
6x+2
3x+2
start fraction, 3, x, plus, 2, divided by, 6, x, plus, 2, end fraction
6
x
12
x
12x
6x
start fraction, 6, x, divided by, 12, x, end fraction
Which student wrote an expression that is equivalent to the original expression?
Answer:only Ivan
Step-by-step explanation: