Answer:
x = 40
Step-by-step explanation:
Adding 23 to both sides gives us:
x - 23 + 23 = 17 + 23
x = 40
Answer:
[tex] \boxed{ \bold{ \bold{ \sf{x = 40}}}}[/tex]Step-by-step explanation:
[tex] \sf{x - 23 = 17}[/tex]
Move constant to right hand side and change it's sign
[tex] \sf{x = 17 + 23}[/tex]
Add the numbers
[tex] \sf{x = 40}[/tex]
Hope I helped!
Best regards!!
Simplify the following expression. (3m/4-2)+8 A. 8m/4 B. 9m/4 C. 3m+24/4 D. 3m+28/4
Answer:
C
Step-by-step explanation:
Given
( [tex]\frac{3m}{4}[/tex] - 2 ) + 8 ( remove parenthesis )
= [tex]\frac{3m}{4}[/tex] - 2 + 8
= [tex]\frac{3m}{4}[/tex] + 6
= [tex]\frac{3m}{4}[/tex] + [tex]\frac{24}{4}[/tex] ← add the numerators leaving the denominator
= [tex]\frac{3m+24}{4}[/tex] → C
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 210 engines and the mean pressure was 5.0 pounds/square inch (psi). Assume the population standard deviation is 0.9. The engineer designed the valve such that it would produce a mean pressure of 4.9 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.02 will be used. Find the value of the test statistic.
Answer:
The test statistics is [tex]t = 1.610[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 210
The sample mean is [tex]\= x = 5.0 \ pounds /square \ inch[/tex]
The standard deviation is [tex]\sigma = 0.9 \[/tex]
The population mean is [tex]\mu = 4.9 \ psi[/tex]
Generally the test statistics is mathematically evaluated as
[tex]t = \frac{\= x - \mu}{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]t = \frac{5 - 4.9}{ \frac{ 0.9 }{ \sqrt{ 210 } } }[/tex]
=> [tex]t = 1.610[/tex]
Solve the equation 6(x-5) =12
Answer:
x=7
Step-by-step explanation:
6(x-5)=12
We will use the distributive property to get the answer of 6(x-5)
6(x-5)=12
6x-30=12
6x=12+30
6x=42
6x/6=42/6
x=7
Proof:
6(x-5)=12
6(7-5)=12
42-30=12
12=12 or
6(7-5)=12
6(2)=12
12=12
Hope this helps ;) ❤❤❤
Xsquared =60 what is the value of x
Answer:
x = ±2√15
Step-by-step explanation:
x^2 = 60
x = ±√60
x = ±2√15
what is (3⁴×5⁴)-³ =?
Answer:
The solution to the given expression is 1/2562890625
Step-by-step explanation:
(3⁴ × 5⁴)⁻²
Simplify the terms inside the parentheses. 3⁴ × 5⁴ is the same as 15⁴ because even though the base numbers are different, the exponents are the same which makes it similar.
(15⁴)⁻²
Now, for this step, we are going to add the exponents because when multiplying, the exponential numbers add together. So 4 × -2 = -8.
15⁻⁸
Since we can not have a negative exponent, we are going to change this into a fraction. We do this by putting this term in a fraction where 1 is the numerator and the term is the denominator.
1 / 15⁻⁸
Now, we simplify the term on the bottom.
1 / 2562890625
So, this is the solution to the problem.
This visual representation shows the sets of real numbers. Which statement is true regarding the number sets? a. All integers are also rational numbers. b. All rational numbers are also integers. c. Some integers are also rational numbers, but not all integers are rational numbers. d. Integers and rational numbers have no numbers in common. explain your answer and say the answer
Answer:
A.
Step-by-step explanation:
The visual representation is All integers are also rational numbers
what are rational number?A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0. The set of rational numbers is denoted by Q.
So, we have sets of real number.
As. we know
All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.
Hence, integers are also rational numbers
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Use the figure to find the Total Area. 48 sq. units 84 sq. units 96 sq. units
Answer:
84 sq. units
Step-by-step explanation:
Total area is:
6*6 + 4*1/2*6*√(5² - (6/2)²) = 36 + 12*√16= 36 + 48 =84 sq. unitsThe bases of a trapezoid will measure 14.5 ft and 22.5 ft. What is the minimum height of the trapezoid of the patio is to have an area os no less than 259 sq ft?
Answer:
14 ft
Step-by-step explanation:
The area of a trapezoid is given by
A = (1/2)(b1 +b2)h
You want ...
A ≥ 259
(1/2)(14.5 +22.5)h ≥ 259
37/2·h ≥ 259
h ≥ 259(2/37)
h ≥ 14 . . . . . . . feet
The height must be no less than 14 feet.
The maximum horizontal range of a projectile is given by the formula where u is the initial velocity and g is the acceleration due to gravity. Find the velocity with which a ball can be thrown to have a maximum range of 20 meters when the acceleration due to gravity is equal to 9.8 m/s.
Answer:
v=?
U=0
a=9.8m/s²
s=20m
V²=u+2as
v²=0+2*9.8*20
v²=392
v=✓392
v=19.789
v=19.80m/s
An account earned interest of 5% per year. The beginning balance was $250. The equation t=log1.05E250 represents the situation, where t is the time in years and E is the ending balance.
Answer:
3 years
Step-by-step explanation:
The number of years that required for opening an account is shown below:
Given that
Opening balance = $250
ending balance = $289.41
t = [tex]log_{1.05} \frac{E}{250}[/tex]
Interest rate = 5%
Based on the above information, the number of years required is
[tex]t = log_{1.05} \frac{289.41}{250}[/tex]
= 3 years
Hence, the number of years required to open an account is 3 years and the same is to be considered by using the above formula
HELP ASAP ROCKY!!! will get branliest.
Answer:
2nd Option.
Step-by-step explanation:
The 2 lines are intersecting each other. That means the point of intersection is the solution set to the systems of linear equations.
This translate into that point (4, 4) in the graph works for both line A and line B.
20+2x=x+56 solve for x
Answer:
Rearrange the numbers to their like terms.
which is 2x-x=56-20.
x=36.
The solution to the equation is x = 36.
To solve the equation 20 + 2x = x + 56 for the variable x, you can follow these steps:
Step 1: Move all terms containing x to one side of the equation by subtracting x from both sides:
20 + 2x - x = x + 56 - x
20 + x = 56
Step 2: Subtract 20 from both sides to isolate the x term:
20 + x - 20 = 56 - 20
x = 36
Therefore, the solution to the equation is x = 36.
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PLEASE HELP ME ASAP Tyler needs to score 100 points on his final math test of the year to improve his average score from 76 to 79. How many math tests are there in a year?
Answer:
8 tests
Step-by-step explanation:
Let's call the number of total math tests in a year as x. Therefore, excluding the final test, the total number of tests in a year is x - 1. Since his original average was 76, that means that the sum of his test scores without the final was 76(x - 1), and because getting a 100 on his final gets him a 79, the sum of all his scores is 76(x - 1) + 100, which will be equal to 79 * x, therefore:
76(x - 1) + 100 = 79x
76x - 76 + 100 = 79x
24 = 3x
x = 8 tests
Question 1
A company makes a book bag and charges a one-time design fee of $100 and then $5 for each bag made. What equation shows how the cost of a book bag order depends on the number of bags, n?
Answer:
C = 5n + 100
Step-by-step explanation:
The cost (C) to make a book bag is an initial fee of $100 with an additional $5 for each bag (n) made. The equation will look like
C = 5n + 100
x^2 -9 divided by x+3
Step-by-step explanation:
Hey, there!!
Given that,
[tex] \frac{ {x}^{2} - 9 }{x + 3} [/tex]
{ we can write (a^2-4) as (a^2 - 2^2) also as (x^2- 9) can be written as (x^2 - 3^2)}.
[tex] \frac{ {x}^{2} - {3}^{2} }{x + 3} [/tex]
We have a^2-b^2= (a+b) (a-b), so keep same formula on it.
[tex] \frac{(x + 3)(x - 3)}{(x + 3)} [/tex]
(x+3) in numerator and denominator gets cancelled,
[tex](x - 3)[/tex]
Therefore, (x-3) is the final value.
Hope it helps...
Consider the system of equations. y = 3x + 2 y = − 2 3 x − 4 Explain why these particular equations can be graphed immediately. Explain why these particular equations can be graphed immediately.
The equations can be graphed immediately because the slopes and the y-intercepts are known
The system of equations is given as:
y = 3x + 2y = -2/3x - 4The equations in the system are linear equations, and they are represented as:
[tex]y = mx + b[/tex]
Where:
m represents the slopeb represents the y-interceptFrom the given system, we can find the slopes and the y-intercepts of both functions easily
Hence, the equations can be graphed immediately because the slopes and the y-intercepts are known
Read more about system of equations at:
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NASA is building a satellite that is roughly the shape of a sphere. If the satellite weighs 14.25 pounds per cubic foot before launch, and has a diameter of 4.7 feet, what is the total weight in pounds of the satellite on Earth? Use π = 3.14.
Answer:
774 lb
Step-by-step explanation:
weight = volume * density
radius = diameter/2
volume = (4/3)πr^3
volume = (4/3)(3.14)(4.7/2 ft)^3
weight = (4/3)(3.14)(4.7/2 ft)^3 * 14.25 lb/ft^3
weight = 774 lb
ustin's hair is 3 1/4 inches long. How long will it be in 2 months if it grows 1/2 inch each month? Which method will NOT give the correct number of inches?
Answer:
3 1/2
Step-by-step explanation:
1/4 + 1/4
(1x4) + (1x4)
=_________
4x4
=8/16
8÷8
=_________
16÷8
=3 1/2
Are the ray AB and BA the same? if yes why and if no why
Answer:
No,the ray AB and BA are not same because the ray AB denotes the ray(light) is coming from the direction through A while the ray BA denotes the ray is coming from the direction through B.
An electrician disconnected 5 wires of different colors from their respective connections and forgot the order in which they were placed. Assuming you connect them by trying different sorts and that the last one is correct, how many tries must you do before getting it right?
Answer:
120 tries
Step-by-step explanation:
You can try 5 different wires in the first connection.
Then you have 4 wires left, so you try 4 wires in the second connection. Remember, you are now trying 4 wires for each of the first 5, so up to here you already made 4 * 5 tries = 20 tries.
Next you try 3, then 2, then you have 1 left.
Number of tries: 5 * 4 * 3 * 2 * 1 = 120
Answer: 120 tries
if X^8 = (2^2)^4, what is X^2
Answer:
x^2 = 4
Step-by-step explanation:
X^8 = (2^2)^4
Rewriting
x^8 as (x^2) ^4 since we know that a^b^c = a^(b*c) and 2*4 = 8
(x^2) ^4 = (2^2)^4
Since the exponents are the same the bases must be the same
x^2 = 2^2
x^2 = 4
the fourth term of an arithmetic
progression is one less than twice the
second term If the sixth term is 7,
find the first term
Answer:
2
Step-by-step explanation:
Given AP where:
a₄ = 2a₂ - 1a₆ = 7To find
a₁ = ?Since
a₄ = a₁ + 3da₂ = a₁ + da₆ = a₁ + 5dInitial equations will change as:
a₁ + 3d = 2(a₁ + d) - 1 ⇒ a₁ + 3d = 2a₁ + 2d - 1 ⇒ a₁ = d + 1a₁ + 5d = 7 ⇒ a₁ = 7 - 5dComparing the above:
d + 1 = 7 - 5d6d = 6d = 1Then:
a₁ = d + 1 = 1 + 1 = 2a₁ = 2The first term is 2
A similar follow-up study is done on a sample of 25 meat-lovers who never eat vegetables, again randomly selected from the same general population (population mean life expectancy = 75, population standard deviation = 5). This new sample of meat-eaters live to an average age of 77. What is the lower limit and upper limit of the 95% confidence interval for the life expectancy of this sample of meat-lovers?
Answer:
The lower limit is 75.04
The upper limit is 78.96
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 25[/tex]
The sample mean is [tex]\= x = 77[/tex]
The standard deviation is [tex]\sigma = 5[/tex]
Given that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = (100 - 95)\%[/tex]
[tex]\alpha = 0.05[/tex]
The critical value for [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96* \frac{5 }{\sqrt{25} }[/tex]
=> [tex]E = 1.96[/tex]
The 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \= x +E[/tex]
=> [tex]77 - 1.96 < \mu < 77 + 1.96[/tex]
=> [tex]75.04 < \mu < 78.96[/tex]
Any body know this? Zoom in to see
Answer:
Deon
Step-by-step explanation:
Gerain has 2 parts almonds in 5 parts total, i.e., 2/5 = 0.40
Deon has 3 parts almonds in 7 parts total, i.e., 3/7 ≈ 0.43
So Deon's concentration is higher
Answer:
Deon has a higher concentration
Step-by-step explanation:
after spending 80% of gulnaza's money. she left with rupees 800. How much did she have in the beginning ?
Answer:
let her money in the beginning =X
20%of X=800.
4000
Use the graph of f(x)=x^2 to find a number δ such that ∣x^2−1∣<0.1 whenever 0<|x−1|<δ.
Answer:
[tex]\delta=0.0333[/tex]
Step-by-step explanation:
[tex]|x^2-1}=|x-1||x+1|<0.1[/tex]
[tex]|x|-|1|<|x-1|<1[/tex]
[tex]|x|<2[/tex]
[tex]|x+1|<3[/tex]
Hence
[tex]|x-1|<\frac{0.1}{|x+1|}[/tex]
[tex]|x-1|<\frac{0.1}{3}=0.333 =\delta[/tex]
Hopefully you get what I meant!!
The sales data from the past two months of a frozen yogurt shop are approximately normal. The mean daily sales for the first month was $200 with a standard deviation of $30. On the 15th of the first month, the shop sold $245 of yogurt. The mean daily sales for the second month was $220 with a standard deviation of $50. On the 15th of the second month, the shop sold $270 of yogurt. Which month had a higher z-score for sales on the 15th, and what is the value of that z-score? a.) The second month, with a z-score of 1. b.) The second month, with a score of 1.67. c.) The first month, with a score of 0.9. d.) The first month, with a z-score of 1.5.
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
The mean for the first month is [tex]\mu _ 1 = \$ 200[/tex]
The standard deviation for first month is [tex]\sigma_1 = \$ 30[/tex]
The sale on 15th of first month is [tex]x_1 = \$245[/tex]
The mean for the second month is [tex]\mu _ 2 = \$220[/tex]
The standard deviation for second month is [tex]\sigma_2 = \$ 50[/tex]
The sale on 15th of second month is [tex]x_2 = \$ 270[/tex]
Generally the z-score is mathematically represented as
[tex]z = \frac{x - \mu }{ \sigma}[/tex]
For the first month
[tex]z_1 = \frac{x_1 - \mu_1 }{ \sigma_1 }[/tex]
[tex]z_1 = \frac{ 245 - 200 }{ 30 }[/tex]
[tex]z_1 = 1.5[/tex]
For the second month
[tex]z_1 = \frac{x_2 - \mu_2 }{ \sigma_2 }[/tex]
[tex]z_1 = \frac{ 270 - 220 }{ 50 }[/tex]
[tex]z_1 = 1[/tex]
Answer: 1.5
Step-by-step explanation:
Recall that .For the first month, .For the second month, .We can see the first month had the higher z-score of 1.5.
The figure below shows the correct construction of a segment bisector.
Answer:
it's false.... not sure
Convert -11°20'49" to decimal degree form. Round your answer to three decimal places.
I need the answer):
Answer:
Convertir- 11°20'49"
Step-by-step explanation:
I New the answer):
solve for x 6 (8X minus 1) equals 9 (x + 2)
Answer:
x = [tex]\frac{8}{13}[/tex]
Step-by-step explanation:
Given
6(8x - 1) = 9(x + 2) ← distribute parenthesis on both sides
48x - 6 = 9x + 18 ( subtract 9x from both sides )
39x - 6 = 18 ( add 6 to both sides )
39x = 24 ( divide both sides by 39 )
x = [tex]\frac{24}{39}[/tex] = [tex]\frac{8}{13}[/tex]