Answer:
2 miles
Step-by-step explanation:
6X + 10 = 22
X = (22-10)/6 = 12/6 = 2 miles
Jerry bought 680 square feet of wood flooring to liven up his retail store. He has 1/4 of the flooring left over. How many square feet does he have left?
Answer:
170
Step-by-step explanation:1/4 is just like dividing 4 so 680 divided by 4 equals 170
This circle is centered at the origin, and the length of its radius is 4. What the equation of the circle? 150 ė O A.2.1 4 O B. (x-4)² + (x-4)² = 16 O C. x² + y² = 4² O D. x² + y² = 4
Answer:
C
Step-by-step explanation:
The formula for the equation of a circle is [tex](x-a)^2+(y-b)^2=r^2[/tex].
Since the center of this circle is (0,0) and the radius is 4, the equation will be [tex]x^2+y^2=4^2[/tex]
Have a nice day!
how do you simplify 7v3 . 10uv5 . 8uv3
The simplification form of the provided expression is 560v¹¹u⁴ after using the property of the exponent.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
The complete question is:
How do you simplify:
[tex]\rm 7v^3\cdot \:10u^3v^5\cdot \:8uv^3[/tex]
By using the property of the integer exponent:
[tex]\rm =560v^3u^3v^5uv^3[/tex]
[tex]\rm =560v^{11}u^4[/tex]
or
= 560v¹¹u⁴
Thus, the simplification form of the provided expression is 560v¹¹u⁴ after using the property of the exponent.
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need help with parts 1-6
The value of F(g(1)) will be equal to 0.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
From the given table we can see that the value of f(x) at 1 is 3 and the value of g(x) at 1 is 0.
The value of f(xg(x) at x = 1 will be:-
f(xg(x) = f(x) x g(x)
= 3 x 0
= 0
Therefore the value of F(g(1)) will be equal to 0.
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Three postal workers can sort a stack of mail in 45 minutes, 25 minutes, and 225 minutes, respectively. Find how long it takes them to sort the mail if all three work together.
If the three postal workers sort the mail together or work in parallel, it will take them 15 minutes.
What is parallel working?Parallel working refers to the system that can process a common task simultaneously by many workers communicating with one another.
When workers perform the same task together, they tend to achieve greater speed, unlike when they work individually without communicating.
Data and Calculations:Time to sort a stack of mail by A = 45 minutes or 1/45
Time to sort a stack of mail by B = 25 minutes or 1/25
Time to sort a stack of mail by C = 1/225
Time for the three workers to sort the stack together = 1/45 + 1/25 + 1/225
= 15 minutes (5 + 9 + 1)
Thus, if the three postal workers sort the mail together or work in parallel, it will take them 15 minutes.
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Which is the graph of y = 2 – square root of x?
On a coordinate plane, a curved line approaches the grid line at (3, 2.3), crosses the y-axis at (0, 1.5) and ends at (negative 2, 0).
On a coordinate plane, a curved line approaches the grid line at (negative 3, 2.3), crosses the y-axis at (0, 1.5) and ends at (2, 0).
On a coordinate plane, a curved line approaches the grid line at (3, 0.3), and ends at (0, 2).
The graph of [tex]y = 2 - \sqrt x[/tex] is (c) a curved line that passes through points (0,2) and (3,0.3)
How to determine the graphThe function is given as:
[tex]y = 2 - \sqrt x[/tex]
The above function is a square root function.
This means that the domain is [tex]x \ge 0[/tex]
The domain implies that options (a) and (b) are false, because they include negative x values
For option (c); set x= 0 and 3
[tex]y = 2 - \sqrt 0 = 2[/tex]
[tex]y = 2 - \sqrt 3 = 0.3[/tex]
This means that the graph of [tex]y = 2 - \sqrt x[/tex] is a curved line that passes through points (0,2) and (3,0.3)
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what value of x will make ONM similar to SRQ by the SAS similarity theorem?
The triangles will be congruent by SAS if x = 25 , Option C is the correct answer.
What is a Triangle ?A triangle is a polygon with three sides , angles and vertices.
Two triangles are given , in the figure
They have an angle equal to each other ,
For the Triangle to be congruent by SAS , two sides of the triangles must be proportional along with the angle included must be equal.
The two sides will become proportional when x = ?
8/10 = 20 /x
On solving this
x = 25 ,
Therefore the triangles will be congruent by SAS if x = 25.
The complete question is
What value of x will make △ONM similar to △SRQ by the SAS similarity theorem?
A) 16
B) 20
C) 25
D) 50
The figure is attached with the answer.
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Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n = 195, x = 126; 95% confidence
Using the z-distribution, the 95% confidence interval for the population proportion is (0.5791, 0.7133).
What is a confidence interval of proportions?
A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The other parameters are given as follows:
[tex]n = 195, \overline{p} = \frac{126}{195} = 0.6462[/tex]
Hence the bounds of the interval are:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6462 - 1.96\sqrt{\frac{0.6462(0.3538)}{195}} = 0.5791[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6462 + 1.96\sqrt{\frac{0.6462(0.3538)}{195}} = 0.7133[/tex]
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At the beginning of the week, you have $1250.33 cents in your checking account. During the week you spend $184.59 on food, $645.50 on rent and $112.11 on clothing. You get paid $323.89 during this week. How much money will be in your bank account at the end of the week?
Answer:
ending balance = $623.02
Step-by-step explanation:
Amounts you spend get subtracted from your bank balance. Amounts you earn get added.
Bank balanceYour ending balance is ...
ending balance = beginning balance - expenses + earnings
ending balance = $1250.33 -(184.59 +654.50 +112.11) +323.89
ending balance = $623.02
y=10^x +6
find the inverse
[tex]y=10^x+6\\10^x=y-6\\x=\log_{10}(y-6)\\\\f^{-1}(x)=\log_{10}(x-6)[/tex]
HELP PLEASE I will give brainly!!!!!
Answer:
(1,2)
Step-by-step explanation:
first, make the equations equal each other so you can solve for x
8x-6=2x
this gives you 1
then, use what you got for x and plug it in for one of the original questions. I am gonna use 2x since its the easiest to plug in and solve
2(1)=2, so y is 2
so then x=1 and y=2
then put that into (x,y) which is (1,2)
Help me with this algebra
Answer:
Step-by-step explanation:
A new phone system was installed last year to help reduce the expense of personal calls that were being made by employees. Before the new system was installed, the amount being spent on personal calls followed a normal distribution mean of $700 per month and a standard deviation of $50 per month
Using the normal distribution, it is found that there was a 0.9579 = 95.79% probability of a month having a PCE between $575 and $790.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 700, \sigma = 50[/tex].
The probability of a month having a PCE between $575 and $790 is the p-value of Z when X = 790 subtracted by the p-value of Z when X = 575, hence:
X = 790:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{790 - 700}{50}[/tex]
Z = 1.8
Z = 1.8 has a p-value of 0.9641.
X = 575:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{575 - 700}{50}[/tex]
Z = -2.5
Z = -2.5 has a p-value of 0.0062.
0.9641 - 0.0062 = 0.9579.
0.9579 = 95.79% probability of a month having a PCE between $575 and $790.
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Complete the factoring.
25x^4 = 5x^2(? )
Answer:
5x^2(5x^2 - 1) = 0
Step-by-step explanation:
25x^4 = 5x^2
25x^4 - 5x^2 = 0
5x^2(5x^2 - 1) = 0
Reflect shape A in the y-axis.
Answer:
(-1,1) (-4,1) (-4,3)
Step-by-step explanation:
literally mirror shape A to the y-axis
the original cordinates:
(1,1) (4,1) (4,3)
would now be
(-1,1) (-4,1) (-4,3) because it's reflected
The correlation coefficient for two sets of numbers that are perfectly negatively correlated is
The correlation coefficient for two sets of numbers that are perfectly negatively correlated is -1.
What is negative correlation?
Correlation is a statistical measure used to measure the relationship that exists between two variables. Negative correlation is when two variables move in different direction. If one variable increases, the other variable decreases.
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Translate (5, 1) to the right 3 units.
Then reflect the result over the y-axis.
What are the coordinates of the final point?
Answer:
Step-by-step explanation:
Answer
When you translate either left or right, the x coordinate is the one that you change. To go right when you are dealing with a point, you must add the amount you are asked to go right. So when you go right 3 units, add 3 to the 5.
(5 + 3,1) = (8,1)
when going across the y axis, you are still only changing the x coordinate.
All you need do is put a minus sign in front of the x coordinate. So your final answer is (-8,1)
Is finding a car's depreciation over a 10 year period considered as univariate or bivariate?
Determining a car's depreciation over a ten year period is considered a bivariate.
What is a bivariate?
A Bivariate data is made up of two variables that are observed against each other. In determining the deprecation of a car, the cost of the car is observed against the passage of time and the depreciation factor.
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An isosceles triangle has side lengths of 15.6 units and 20.33 units. What is the greatest possible value of the perimeter of the triangle?
Answer:
56.26
Step-by-step explanation:
An isosceles triangle has two sides that are the same length, and one side that is the same length. We have two sizes, so two find the greatest possible perimeter we must assume that the greater size is the value for the two sides, and the smaller size the value for the single side. In other words:
[tex]x = 15.6 + 2(20.33)[/tex]
[tex]x = 56.26[/tex]
Help with this exponential function!
A species of animal is discovered on an island. Suppose that the population size P (t) of the species can be modeled by the following function, where time t is measured in years.
Find the population size after 6 years and after 8 years.
Round your answers to the nearest whole number as necessary.
The population size after 6 years and after 8 years are 147 and 169 population respectively
Exponential functionsThe standard exponential function is expressed as y = ab^x
where
a is the base
x is the exponent
Given the function that represents the population size P (t) of the species as shown;
[tex]p(t)=\frac{550}{1+5e^{-0.1t}} \\[/tex]
For the population size after 6 years
[tex]p(t)=\frac{550}{1+5e^{-0.1(6)}} \\P(6)=\frac{550}{3.744}\\ P(6)=147 population[/tex]
For the population after 8 years
[tex]p(t)=\frac{550}{1+5e^{-0.1(8)}} \\P(8)=\frac{550}{3.2466}\\ P(8)=169 population[/tex]
Hence the population size after 6 years and after 8 years are 147 and 169 population respectively
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2. If G (4,3) was translated (x, y) → (x-7, y +3), where is G' located?
Answer:
the location of point G would be at G(-3,6)
Step-by-step explanation:
x=4
so 4-7 =-4
and y=3
so 3+3= 6
therefore, (x-7,y+3) = (-3,6)
your restaurant serves 50 bowls of French onion soup daily and each serving has 8 ounces of onion per portion. Do you think it would be better to purchase whole onions at $1.99 per pound, and cut them yourself, or purchase pre-sliced onions at $2.99 per pound?
Answer:
Step-by-step explanation:
It would be better to purchase onions at 1.99 per pound
In order for the parallelogram to be a rhombus, x=[?]. (9x+31) 32
HELP NEEDED ASAP
Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes.
Calculate the price per roll for each shop.
Write which shop is the best value for money in the comment box.
lidal:8 for 2.80
oldi:9 for 3.24
The price per roll for Lidal and Oldi shop is 0.35 and 0.36 respectively.
Therefore Lidal shop is the best value for money.
Given,
Lidal shop:
8 rolls costs 2.80
∴ one roll costs = 2.80/8
= 0.35
Oldi shop:
9 rolls costs 3.24
∴ one roll costs = 3.24/9
= 0.36
Hence we get the per price for the shops as 0.35 and 0.36
we can see that for lidal shop if per roll it is 0.35 then if a person wants to buy 9 rolls then it will cost him 3.15, whereas in the case of oldi shop the price for 9 rolls is 3.24.Therefore, lidal shop is the best value for money.
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2. Fruit snacks are 12 packs for $3.60. How much would it cost for just 1 pack? Hint:
Think of $3.60 as 360 cents.
Answer:
$0.3 or 30 cents
Step-by-step explanation:
if 12 pack=$360,
1 pack = ?
therefore,$360×1pack ÷ 12 packs=$30
=$30
100 POINTS!! Find the indicated angle or side. Give an exact answer.
Find the measure of angle A in degrees.
Answer:
A = 120
Step-by-step explanation:
To find angle A we will need to use the law of cosines, since we know the three sides of the triangle.
a^2=b^2+c^2−2*b*c*cosA
(2 sqrt(13)) ^2 = 6^2 + 2^2 + 2 * 6 * 2 cos A
4*13 = 36 + 4 - 24 cos A
52 = 40- 24 cos A
12 = -24 cos A
-1/2 = cos A
Take the inverse cos of each side
cos^-1(-1/2) = cos^-1(cos A)
120 = Cos A or 240 = Cos A
A cannot be greater than 180 so A = 120
Answer:
A = 120°
Step-by-step explanation:
We can use the cosine rule to solve for angle A, since lengths of all sides are known:
[tex]a^2 = b^2+ c^2 - 2(b)(c) \space\ cos A[/tex]
where a, b, and c are the sides opposites angles A, B, and C respectively.
∴ a = 2√3 , b = 6, c = 2
• Rearranging the formula to make A the subject:
[tex]2(b)(c) \space\ cos A = b^2 + c^2 -a^2[/tex]
⇒ [tex]cos A = \frac{b^2 + c^2 -a^2}{2(b)(c)}[/tex]
⇒ [tex]A = cos^{-1}(\frac{b^2 + c^2 -a^2}{2(b)(c)} )[/tex]
• Now we can substitute the values into the equation to calculate the value of angle A:
[tex]A = cos^{-1}(\frac{6^2 + 2^2 -(2\sqrt{13})^2}{2(6)(2)} )[/tex]
⇒ [tex]A = cos^{-1} (-\frac{1}{2} )[/tex]
⇒ A = 120°
PLS HELP WILL MARK BRAINLYEST
graph y=0.4x
Answer:
B, C, E
Step-by-step explanation:
Answer:
B,C,E
Step-by-step explanation:
The equation tells you that .4 is the slope (which is the rate of change). So B and C are both correct, if we look at E, we can put it on a graph and check if it is!
Use the function below to find F(2).
Answer:
D
Step-by-step explanation:
7.
Give an example to show that each statement below is not true.
a) "The product of two different primes is never even."
b) "The sum of two different primes is never prime."
ection One - Number
Answer:
a) 1 + 3 = 4
b) 2 + 3 = 5
(all prime)
hope this helps! :)
The director of a health clinic has a quarterly budget of $600,000. She
would like to allocate this budget to maximize the number of patient visits, P, which is
given as a function of the number of doctors, D, and the number of nurses, N, by
[tex]P=1000D^0^.^6N^0^.^3[/tex].
A doctor’s quarterly salary is $40,000; nurses is $10000.
Maximize the number of patient visits given the pay constraints.
Find the value of the LaGrange multiplier and interpret its meaning in this
problem.
The meaning of this problem is that with 7 nurses they can only hire D=13.25
What is the meaning of this problem.?Generally, the equation for the model is mathematically given as
[tex]P=1000D^{0.6}N^{0.3}[/tex]
Therefore,
[tex]dv/dD=0.6*1000*D^{0.4}N)^{0.3}[/tex]
[tex]dv/dD=600* \frac{N6.1}{D6.1}=0[/tex]
Also
[tex]dv/dN=300* \frac{N6.8}{N6.7}=0[/tex]
Equations 1 and 2
[tex]300* \frac{D6.8}{N6.7}=600* \frac{N6.1}{D6.1}[/tex]
.sub D=(60N)/4
[tex]300* \frac{((60N)/4)6.8}{N6.7}=600* \frac{N6.1}{((60N)/4)6.1}[/tex]
N=6.67
N=7
solve for D
D=(60(7))/4
D=13.25
In conclusion, with 7 nurses they can only hire D=13.25
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