To find the answer, you have to set each one equal to each other.
(160 + 40x = 55x)
Now, you just solve for X.
55x - 40x = 15x
160 / 15 = 15 / 15x
This means 160/15 = x, or is equal to
10 2/3
Answer:
C is the answer
Step-by-step explanation:
Complete the square to determine the maximum or minimum value of the function defined by the expression.
x2 + 8x + 6
A) minimum value at 8
B) maximum value at 10
C) minimum value at −14
D) minimum value at −10
Final answer:
By completing the square, the quadratic function x² + 8x + 6 can be rewritten as (x + 4)² - 10. The minimum value of the function is at -10, corresponding to option D.
Explanation:
To determine the maximum or minimum value of the quadratic function represented by the expression [tex]x^2 + 8x + 6[/tex], we should complete the square. This method involves creating a perfect square trinomial from the given quadratic expression, which allows for easy identification of the vertex of the parabola that represents the function graphically.
We start by taking the coefficient of the x-term (which is 8), dividing it by 2, and then squaring it to get 16. Then we add and subtract this value within our expression, which gives us:
[tex]x^2 + 8x + 16 - 16 + 6[/tex]
The expression now becomes:
( [tex]x^2 + 8x + 6[/tex]) - 10
This simplifies to:
(x + 4)2 - 10
Now that we have a perfect square, we can see that the vertex is at (-4, -10), which represents the minimum value of the function since the coefficient of the [tex]x^2[/tex] term is positive, indicating a parabola that opens upward.
Therefore, the correct answer is:
D) minimum value at − 10
Please explain the answer to this question and I'll mark Brainliest! A private investigator figures that he has a one in ten chance of recovering stolen property for his client. The expenses for the investigation will cost him $10,000, but the recovery fee is $80,000. Based ONLY on this information, should the private detective take the job?
A) The expected value is $1,000.00, so the detective should take the job.
B) The expected value is $2,000.00, so the detective should take the job.
C) The expected value is −$2,000.00, so the detective should not take the job.
D) The expected value is −$8,000.00, so the detective should not take the job.
The calculated expected value for the private investigator's job is -$2,000, suggesting an expected loss. Therefore, the detective should not take the job based solely on the provided financial information.
Explanation:To determine whether the private investigator should take the job, we need to calculate the expected value of the job based on the probabilities and payoffs provided.
Here is the calculation:
If the property is recovered (1 in 10 chance), the gain is $70,000 (recovery fee of $80,000 minus expenses of $10,000).If the property is not recovered (9 in 10 chance), the loss is $10,000 (expenses).The expected value (EV) is thus calculated as:
EV = (Probability of Success) × (Gain) + (Probability of Failure) × (Loss)
EV = (0.1) × $70,000 + (0.9) × (-$10,000)
EV = $7,000 - $9,000
EV = -$2,000
Since the expected value is negative, the detective should not take the job based on this information alone, as it represents an expected loss.
What is the Greatest Common Factor of the expression 12x4 + 18x2?
Answer:
6x²
Step-by-step explanation:
to find the GCF we look at the terms and see what they have in common
we see that the greatest number both can be divided by is 6
we also look at the variables. both contain an x², so we can factor out as well
the answer would be 6x²
A researcher posts a newspaper advertisement offering $20 in exchange for participation in a short study. The researcher accepts the first five people who respond to the advertisement. Which of the following statements is true about the sample?
It is not a valid sample because it is only a short study.
It is a valid sample because money was offered to participants.
It is a valid sample because the first five people were selected to participate.
It is not a valid sample because it is not a random sample of the population.
Answer:
The answer is "It is not a valid sample because it is not a random sample of the population".
Step-by-step explanation:
I had this test and that was my answer, and it was correct.
Mr. Parker asked his students to draw and label a solid figure. He gave these directions: . Use two rectangular prisms e The volume should be 544 cubic centimeters Lana drew the solid figure betow. 4 cm 7 cm 5 cm 8 cm 12 cm Part A Did Lana draw a correct figure? Explain your reasoning.
jkaa[kakskskawz82xb2b2jdw
please help!!!!!
Which defines the piecewise function shown?
The answer is:
The second piecewise function,
[tex]f(x)=\left \{ {{-x-2,x<0} \atop {-\frac{x}{2} }\geq 0} \right.[/tex]
Why?To answer the question, we need to find which piecewise function contains the graphs shown in the picture, we have that first line shown, is decreasing and exists from the negative numbers to 0, and the line cuts the x-axis and the y-axis at "-2", for the second line shown, we have that is decreasing but exists from 0 (including it) to the the positive numbers.
So, finding which piecewise satisfies the function shown, we have:
- First piecewise function:
[tex]f(x)=\left \{ {{-x-2,x<0} \atop {\frac{x}{2} }\geq 0} \right.[/tex]
First line,
We have the first line,
[tex]-x-2<0\\[/tex]
The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exists from all the numbers less than 0, to 0, and it cuts the x-axis at -2 and the y-axis at -2.
Second line,
[tex]\frac{x}{2}\geq 0[/tex]
The variable has positive coefficient, meaning that the function (line) is increasing.
Hence, since the second line is not decreasing, the piecewise function is not the piecewise function shown in the picture.
- Second piecewise function,
[tex]f(x)=\left \{ {{-x-2,x<0} \atop {-\frac{x}{2} }\geq 0} \right.[/tex]
First line,
We have the first line,
[tex]-x-2<0\\[/tex]
The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exist from all the numbers less than 0, to 0.
Second line,
[tex]-\frac{x}{2}\geq 0[/tex]
The variable has a negative coefficient ([tex](-\frac{1}{2})[/tex], meaning the the unction (line) is decreasing, also we can see that the function does exists from 0 (including it) to the positive numbers.
Hence, we have that the correct option is the second piecewise function,
[tex]f(x)=\left \{ {{-x-2,x<0} \atop {-\frac{x}{2} }\geq 0} \right.[/tex]
Note: I have attached a picture for better understanding.
Have a nice day!
Fifteen friends share 20 cups of popcorn equally. Which faction of a cup does each friend get?
Answer:*fraction
Step-by-step explanation: I hope you get your answer soon
When do two ratios form a proportion?
when they are equal
A proportion is when two ratios are equal.
For example the ratio 10:5 is equal to the ratio 2:1, therefore this is a proportion.
Celine is knitting a scarf. The finished length will be 1.2 meters. So far she has knitted 0.8 meters. How many more meters does Celine need to knit? Draw a number line to solve.
Answer:
.4 meters
Step-by-step explanation:
1.2-.8=.4
0————.4————.8————1.2
Answer:
0.4 meters
Step-by-step explanation:
We can use a number line:
<----| - | - | - | - | - | - | - | - | - | - | - | - | -------->
0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1 1.1 1.2
If you count the number of dashes between 0.8 and 1.2, there will be four of them. The answer is 0.4 meters.
(13x+9k)+(17x+6k) simplified
The simplified form of the expression [tex]\((13x + 9k) + (17x + 6k)\)[/tex] is [tex]\(30x + 15k\)[/tex].
To simplify the given expression, combine like terms. Like terms are terms that contain the same variables raised to the same power. Here, [tex]\(13x\)[/tex] and [tex]\(17x\)[/tex] are like terms because they both contain the variable [tex]\(x\)[/tex], and [tex]\(9k\)[/tex] and [tex]\(6k\)[/tex] are like terms because they both contain the variable [tex]\(k\)[/tex].
First, add the coefficients of the like terms with the variable [tex]\(x\)[/tex]:
[tex]\[ 13x + 17x = 30x \][/tex]
Next, add the coefficients of the like terms with the variable [tex]\(k\)[/tex]:
[tex]\[ 9k + 6k = 15k \][/tex]
Putting it all together, the simplified expression is:
[tex]\[ 30x + 15k \][/tex]
This is the final simplified form of the given expression.
The complete question is:
Simplify the following expression [tex]\((13x + 9k) + (17x + 6k)\)[/tex] ?
A comparative box plot is shown for two data sets. Which statement is true? (Please help me and please if you're not 100% sure)
Answer Choices
A. At least 50% of the data for each set is between 13 and 16.
B. Less than 25% of the data for the sets overlap.
C. More than 25% of the data for each set is greater than 15.
D. At least 75% of the data is greater than 16.
Answer:
a
Step-by-step explanation:
Answer:
I would say A
Step-by-step explanation:
Pre-Algebra 8th grade flvs (mark brainiest/ 30 POINTS)
The graph below shows the height an elevator travels, y, in x seconds:
What is the rate of change for the relationship represented in the graph?
50
25
1/25
1/50
Answer:
25
Step-by-step explanation:
I'm not in 8th grade... but I am quite smart.
Look at the graph. Each point goes up 25. It starts at the origin, then 25, 50, 75, 100. In other words, 50 = 25 + 25, 75 = 25 + 25 + 25, and 100 = 25 + 25 + 25 + 25.
I need help please with those box.
Answer:
Sales : $4.96
Total : $66.96
Step-by-step explanation:
To find the sales tax, just multiply the tax rate by the purchase price.
8.0% = 0.08
[tex]62*0.08=4.96[/tex]
So the sales tax is $4.96.
To find the total price, we can multiply the purchase price by the tax rate + 1.
[tex]62*1.08=66.96[/tex]
Or if you are not comfortable with that, you can add the sales tax and the purchase price.
[tex]62+4.96=66.96[/tex]
So the total price is $66.96
66.69
Because add the total together to get it
I need help plez
Fran drove m miles in a car she rented. To find R, the total cost of renting the car, she used the following formula.
R=0.50m+35
What is the dependent variable in the formula?
A 0.50
B M
C R
D 35
Answer: C. R
Step-by-step explanation:
R changes depending what m is. (It is also the y variable which is always dependent)
George measured the capacity of a cardboard box as 400 in3. The true capacity of the cardboard box is 450 in3. What is the percent error in George’s measurement? If necessary, round to the nearest percent.
Answer:
11%
Step-by-step explanation:
450-400=50, Amount of difference.
Actual volume, 450 in^3.
[tex](\frac{50}{450} )*100=100*(\frac{1}{9} )[/tex]
11%
find the distance between the two points 4,1 and -3,-2. Show your work
Answer:
The distance between two points is √58 or 7.61.
Step-by-step explanation:
In the question we need to find the distance between two points 4,1 and -3,-2 given.
Distance between two points can be found using the formula:
[tex]d(P1,P2) = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}[/tex]
Putting the given points in the formula we get,
x₂ = -3, x₁ = 4, y₂= -2, y₁= 1
[tex]=\sqrt{(-3-(4))^2 + (-2-(1))^2} \\=\sqrt{(-3-4)^2 + (-2-1)^2}\\=\sqrt{(-7)^2 + (-3)^2}\\=\sqrt{49 + 9}\\=\sqrt{58}\\=7.61[/tex]
So, the distance between two points is √58 or 7.61.
A pharmacist weighed eight different capsules of the same compound and recorded these measurements: 2312 mg, 2313 mg, 2315 mg, 2321 mg, 2325 mg, 2310 mg, 2320 mg, and 2319 mg. What is the median measurement? What is the mean measurement?
The median measurement of the capsules is 2317 mg, which is the average of the fourth and fifth values when listed in order. The mean measurement is also 2317 mg, found by summing all measurements and dividing by the total number of samples.
Explanation:To find the median measurement of the pharmacist's recorded capsule weights, we first list the measurements in numerical order: 2310 mg, 2312 mg, 2313 mg, 2315 mg, 2319 mg, 2320 mg, 2321 mg, 2325 mg. Since there are eight measurements (an even number), the median is the average of the fourth and fifth measurements: (2315 mg + 2319 mg) / 2 = 4634 mg / 2 = 2317 mg. Therefore, the median measurement is 2317 mg.
To calculate the mean measurement, we sum all the measurements and then divide by the number of measurements: (2312 mg + 2313 mg + 2315 mg + 2321 mg + 2325 mg + 2310 mg + 2320 mg + 2319 mg) / 8 = 18535 mg / 8 = 2316.875 mg. The mean measurement, rounded to the nearest milligram, is 2317 mg.
Please help with this fast
Answer:
Part 1) The value of x is 50°
Part 2) The measure of angle LOK is 114°
Option C
Step-by-step explanation:
we know that
if two angles are supplementary, then their sum is equal to 180 degrees
so
(x+64)°+66°=180°
solve for x
x+130°=180°
x=180°-130°=50°
Find the measure of angle LOK
∠LOK=(x+64)°
∠LOK=(50+64)°=114°
Choose the answer that correctly solves the equation: 6 x 4 + 3 = ?
Answer:
27
Step-by-step explanation:
because 6×4 is 24 and 24+3 =27
Answer:
The answer is 27
Step-by-step explanation:
Using Pemdas (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction) 6 x 4= 24 then 24 + 3= 27.
Hope this helps. Please name me Brainliest
Help quick ASAP please
Answer:
10
Step-by-step explanation:
the sum of interior angle and exterior angle = 180°
ext + 108 + ext = 180
2 ext + 108 = 180 (subtract 108 from both sides )
2 ext = 72 (divide both sides by 2 )
ext = 36
The sum of the exterior angles of a polygon = 360°, hence
number of sides = [tex]\frac{360}{36}[/tex] = 10
Answer:
96 is the measure of 3 angles. It has 3 sides since its a regular polygon.
Step-by-step explanation:
Sorry for taking so much time, I had to go AFK. But, here's the explanation:
Each exterior angles always measures 360 degrees and interior angles measure 180. Always.
The sides of a regular polygon is 3.
Now, they asked us to add 108+180 which gives us 288 degrees.
we divide 288÷3(the sides of the polygon) and we get 96 is the measure of three angles.
The figure below is a net for a rectangular prism. Side a = 21 inches, side b = 17 inches, and side c = 11 inches. What is the surface area of this figure?
A. 1,550 square inches
B. 775 square inches
C. 3,927 square inches
D. 1,319 square inches
Answer:
The answer is 1,550
Step-by-step explanation:
First you find the area of the rectangle 1
Area = ab
=(21 in) (17in)
=357 sq in.
this will be the same for rectangle 3 = 357 sq. in.
next find the area of rectangle 2
area=ac
=(21 in) (11 in)
=231 sq in.
this will be the same for rectangle 4 = 231 sq. in.
next find the area of rectangle 5
area = bc
=(17 in) (11 in.)
=187 sq. in
this will be the same for rectangle 6 = 187 sq. in.
Next add all areas together
Total surface area = 2(ac) + 2(ab) + 2(bc)
= 2(231) sq in. + 2(357) sq in. + 2(187) sq. in
= 462 + 174+ 374
= 1550 sq. in
The density of an object is its mass per unit volume. An object has a mass of 4.2 grams and a volume of 2 cm3. What is the density of the object?
A. 8.4 g/cm^3
B. 0.5 g/cm^3
C. 2.1 g/cm^3
D. 2.2 g/cm^3
Answer:
C. 2.1 g/cm^3
Step-by-step explanation:
The density of an object is its mass per unit volume.
The formula for density is:
[tex]D=\frac{M}{V}[/tex]
The object has a mass of 4.2 grams.
[tex]\implies M=4.2g[/tex]
and a volume of 2 cubic centimeters
[tex]\implies V=2cm^3[/tex]
We substitute the known values into the formula to get:
[tex]D=\frac{4.2}{2}gcm^{-3}[/tex]
We simplify to obtain:
[tex]D=2.1gcm^{-3}[/tex]
Answer:
2.1 g/cm^3 so its c
a rectangle has vertices at (0 0) (3 0) and (0 6). what is the area of the rectangle answer
Answer:
18 sq. units
Step-by-step explanation:
Height would be 6 and Length would be 3
6 x 3 = 18
For further help, use a coordinate grid and plot the points
Answer:
9 units
Step-by-step explanation:
We need to find the last point. This is a rectangle. We already have 3 corners. We need the opposite corner to (0,0). One corner has an x of 3 and a y of 0, another corner has a x of 0 and a y of 6.
We therefore know the fourth corner/point is (3, 6)
Now we can properly visualize the rectangle. If the rectangle has a corner at the origin, we can just use a formula and the other corner to find the area.
Area (rectangle) = 1/2 x length x width
The length will be the difference between the two x points (0 and 3) and the width will be the difference between the two y points (0 and 6).
Length = 3
Width = 6
Area = 1/2 x 3 x 6
Area = 9 units
I need help with these please ASAP
Answer:
Third one down.
Step-by-step explanation:
Answer:
Third One
Step-by-step explanation:
Write words to match expression 24 divided by 6
twenty four divisible by six, if that what u meant . or 24÷6
An airplane flies 2403 miles in 4.5 hours. What is the speed of the airplane in miles per hour?
2403/4.5= 534 filling in the rest of the 20 charters needed
Answer:
534 miles per hour
Step-by-step explanation:
To find the speed, we take the miles and divide by the hours
2403 miles/ 4/5 hours
534 miles per hour
Thank you for any help!
The answer is D
0 is not less than or equal to -4, and in the second equation, 0 is greater than -1
Answer:
D. No. (0, 0) satisfies [tex]y>2x-1[/tex] but does not satisfy [tex]y\leq x^2-4[/tex].
Step-by-step explanation:
We are given the following system of equations and we are to determine if (0, 0) is its solution or not:
[tex]y\leq x^2-4[/tex]
[tex]y>2x-1[/tex]
Substituting the given point [tex](0, 0)[/tex] in both the equations to check if it satisfies them.
[tex]y\leq x^2-4[/tex] [tex]\implies[/tex] [tex]0\leq (0)^2-4 \implies 0\leq -4[/tex] - False
[tex]y>2x-1 \implies 0 > 2(0)-1 \implies 0>-10[/tex] - True
Therefore, the correct answer option is D. No. (0, 0) satisfies [tex]y>2x-1[/tex] but does not satisfy [tex]y\leq x^2-4[/tex].
help me plz again i’m terrible at math
Answer:
Step-by-step explanation:
Actually, none of these represent direct proportion, because each one involves adding or subtracting an offset.
The last answer is closest to being a proportional relationship:
$1.75 per pound → Total cost = ($1.75/lb)x, where x is the number of pounds. This line would go through the origin, as it must, for the relationship to be proportional. But as soon as we add in or subtract that $1 coupon, this is no longer a proportional relationship.
X:y = 7:4
x:y= 88
Work out the value of x-y
Answer:
x = 56
y = 32
Step-by-step explanation:
x: y
7:4 = 11
multiply by 8 to make a total of 88
x = 7 × 8 = 56
y = 4 × 8 = 32
For the proportions X: Y = 7:4 and X: Y = 88, we first find that X = 154 and Y = 88. Subsequently, we can determine that X-Y is equal to 66.
Explanation:The given conditions are X: Y = 7:4 and X: Y = 88. This means X/Y = 7/4 and X/Y = 88. Since both conditions have to be true, it implies 7/4 = 88. Taking the cross product, we find that X = 7*88/4 = 154.
To find Y, we substitute X = 154 into X: Y = 7:4, rearrange the equation to solve for Y, and get Y = 154 * 4 / 7 = 88. Now, we can calculate X-Y = 154-88 = 66. Hence, X-Y is equal to 66.
Learn more about Ratios here:https://brainly.com/question/32531170
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Tanya have several different ways she likes to walk home. One route takes 20 minutes, two of the routes take 30 minutes, and two take 40 minutes. Tanya randomly chooses a route to walk home. What is the probability, to the nearest percent, that it will take her 30 minutes to walk home?
A.) 20%
B.) 33%
C.) 40%
D.) 67%
Please explain answer for me :)
Answer:
40%
Step-by-step explanation:
Tanya has a a choice of 5 different routes (1-20 mins, 2-30 mins, 2-40 mins).
How many routes can she take that will take her 30-mins to get home?
The answer is 2.
What's the probability she will take 2 of the 5 routes to get home?
The probability is 2/5 so 40%.
The rounding instruction was there to mislead you in this case :-)