58 is the value of c so -11 that 11 and are both solutions of 2x2+ c=300
To find the value of c, we can substitute the given solutions (-11 and 11) into the equation 2x^2 + c = 300.
Using the first solution, -11:
2(-11)^2 + c = 300
2(121) + c = 300
242 + c = 300
c = 300 - 242
c = 58
Using the second solution, 11:
2(11)^2 + c = 300
2(121) + c = 300
242 + c = 300
c = 300 - 242
c = 58
Therefore, the value of c that satisfies both solutions is c = 58. When c is equal to 58, the equation 2x^2 + c = 300 holds true for x = -11 and x = 11.
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Graph y=15x+3.
Question 2
Identify the x-intercept.
x-intercept:
Answer:
y=19
Step-by-step explanation:
HELPPP ALSO SORRY FRO THE PIC
Answer:
The numbers below are all grater than one:
#2
#3
#4
Step-by-step explanation:
ʕ•ᴥ•ʔ
What is the slope of the line that contains the points (-2, 7) and (2, 3)?
Answer:
m=-1
Step-by-step explanation:
3-7/2-(-2)
-4/2-(-2)
-4/2+2
-4/4
-1
Answer:
slope = -1
Step-by-step explanation:
gradient = (difference in y)/(diffidence in X)
m = (7-3)/(-2-2)
m = 4/-4
m = -1
what is 9 divided by 36 TELL ME HOW U SOLVED IT
Step-by-step explanation:
DirectoryDivisible
How to calculate 36 divided by 9
Long Division
Here we will show you step-by-step with detailed explanation how to calculate 36 divided by 9 using long division.
Before you continue, note that in the problem 36 divided by 9, the numbers are defined as follows:
36 = dividend
9 = divisor
Step 1:
Start by setting it up with the divisor 9 on the left side and the dividend 36 on the right side like this:
9 ⟌ 3 6
Step 2:
The divisor (9) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:
0
9 ⟌ 3 6
Step 3:
Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend.
0
9 ⟌ 3 6
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.
0
9 ⟌ 3 6
- 0
3
Step 5:
Move down the 2nd digit of the dividend (6) like this:
0
9 ⟌ 3 6
- 0
3 6
Step 6:
The divisor (9) goes into the bottom number (36), 4 time(s). Therefore, put 4 on top:
0 4
9 ⟌ 3 6
- 0
3 6
Step 7:
Multiply the divisor by the result in the previous step (9 x 4 = 36) and write that answer at the bottom:
0 4
9 ⟌ 3 6
- 0
3 6
3 6
Step 8:
Subtract the result in the previous step from the number written above it. (36 - 36 = 0) and write the answer at the bottom.
0 4
9 ⟌ 3 6
- 0
3 6
- 3 6
0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 36 divided by 9 calculated using Long Division is:
the answer is 4
The solution for 9 divided by 36 is,
⇒ 1/4
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
⇒ 9 divided by 36
Now, We can write as;
⇒ 9 divided by 36
⇒ 9 ÷ 36
⇒ 9 / 36
⇒ 1/4
Thus, The value of fraction for 9 divided by 36 is,
⇒ 1/4
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the weights of certain machine components are normally distributed with a mean of 5.12 ounces and a standard deviation of 0.07 ounces. find the two weights that separate the top 5% and the bottom 5% . these weights could serve as limits used to identify which components should be rejected. round your answer to the nearest hundredth, if necessary.
The weight that separates the bottom 5% is approximately 5.02 ounces.
To find the weights that separate the top 5% and the bottom 5%, we need to use the z-score formula and the standard normal distribution table.
First, let's find the z-score for the top 5%. Using the standard normal distribution table, we find that the z-score for the top 5% is approximately 1.645.
Next, we can use the formula z = (x - μ) / σ, where z is the z-score, x is the weight we're trying to find, μ is the mean, and σ is the standard deviation.
For the top 5%, we have:
1.645 = (x - 5.12) / 0.07
Solving for x, we get:
x = 5.12 + 1.645 * 0.07
x ≈ 5.22 ounces
Therefore, the weight that separates the top 5% is approximately 5.22 ounces.
To find the weight that separates the bottom 5%, we use the same process but with a negative z-score. The z-score for the bottom 5% is approximately -1.645.
-1.645 = (x - 5.12) / 0.07
Solving for x, we get:
x = 5.12 - 1.645 * 0.07
x ≈ 5.02 ounces
Therefore, the weight that separates the bottom 5% is approximately 5.02 ounces.
These weights could serve as limits used to identify which components should be rejected. Any component with a weight less than 5.02 ounces or greater than 5.22 ounces should be rejected.
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what’s the correct answer
Answer: The answer is A
Step-by-step explanation:
given that s(x)=−1x 8 9x−4, what is the antiderivative of s(x)? (do not include the constant c in your answer.)
Answer:
The antiderivative of s(x) without the constant of integration is:
-1/9 * x^9 - 3x^-3
in the item procurement importance matrix, what item is described as low risk, low value?
In the item procurement importance matrix, the item described as low risk, low value is referred to as a non-critical item.
The item procurement importance matrix is a tool used in procurement management to categorize items based on their importance and risk. It helps in determining the appropriate procurement strategies and allocation of resources. The matrix typically categorizes items into four quadrants based on their value and risk levels: critical, strategic, non-critical, and bottleneck.
A non-critical item is characterized by low risk and low value. These items are generally of lesser importance in terms of their impact on the overall procurement process. They may include non-essential or low-cost items that are easily replaceable or have minimal consequences if they experience delays or disruptions in the supply chain.
Therefore, in the item procurement importance matrix, the item described as low risk, low value is categorized as a non-critical item.
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Please help me out, i need to make up this last credit so i can graduate T-T. Which compound inequality is graphed on the number line?
A dog that weighs 16 pounds on Earth weighs 6.8 pounds on Mars.
How much would a dog weigh on Mars, if it weighs 12 pounds on Earth?
What will be the amount of the sum Rs 1200 for one and
half year at 40 percent of interest compounded
quarterly?
The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.
The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:
Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly
Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$
Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter
Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}
Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09
Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.
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Could someone please explain/help me to do this using Pythagoras theorem?
Answer:
\(\boxed{478.02}\)
Step-by-step explanation:
→ First understand what Pythagoras theorem is
Pythagoras is a theorem used to find the hypotenuse (the side opposite to the right-angle) of a triangle. We would need the base lengths as well the height in order to use Pythagoras.
→ State the formula and identify the letters
a² + b² = c² ⇒ where 'a' is 380cm, 'b' is 290cm and 'c' is what we are trying to work out
→ Substitute in the values into the formula
380² + 290² = c²
⇒ Simplify
144400 + 84100 = c²
⇒ Collect the numbers together
228500 = c²
⇒ Square root both sides to find 'c'
478.0167361 = c
→ The length of the diagonal is 478.02
Macy made a 220 grooming dogs one day in her mobile grooming business she charges 60 per appointment and 40 earned in tips write an equation to represent the situation and solve the equation to determine how many appointments Messi had part B Logan made a profit of 300 as a mobile groomer he charge $70 per appointment and received $50 in tips but he had to pay a rental fee for the truck of $20 per appointment write an equation to represent the situation and solve the situation to determine how many appointments Logan had (32 points)
We can see that:
Part A: 3 appointments
Part B: 5 appointments
What is an equation?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
Part A
Let x = number of dog grooming appointments Macy had in one day.
Given information:
Charge per appointment = $60
Total amount earned = $220
Total amount of tips earned = $40
Create an equation with the given information:
⇒ 60x + 40 = 220
Solving the equation:
Subtracting 40 from bothsides, we have:
⇒ 60x + 40 - 40 = 220 - 40
⇒ 60x = 180
⇒ 60x ÷ 60 = 180 ÷ 60
⇒ x = 3 appointments.
Part B
Let x = number of dog grooming appointments Logan had.
Given information:
Charge per appointment = $70
Total amount earned = $300
Total amount of tips earned = $50
Rental fee per appointment = $20
Create an equation with the given information:
⇒ 70x - 20x + 50 = 300
Solve the equation:
⇒ 50x + 50 = 300
⇒ 50x + 50 - 50 = 300 - 50
⇒ 50x = 250
⇒ 50x ÷ 50 = 250 ÷ 50
⇒ x = 5 appointments.
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please help factorise 7ab+a
Answer:
= a(7b + 1)
Step-by-step explanation:
7ab + a
a(7b + 1).
(will give brainliest)
a hiker, whose eye is 1.6 meters above ground, stands 50 meters from the base of connecting her eye and the top of the cliff and a horizontal line is 58°. draw a diagram representing the situation and find the height of the cliff
Answer:
80.02mStep-by-step explanation:
Find the diagram attached. Using SOH, CAH, TOA to find the height of the cliff AC,
AC is the opposite side and BC is the adjacent
Given BC = 50m and ∠ABC = 58°
tan∠ABC = AC/BC
tan58° = AC/50
cross multiply
AC = 50tan58°
AC = 80.02m
Hence the height of the cliff is 80.02m
Answer:
The height of the cliff is 81.6m
Step-by-step explanation:
Please see the attachment below for an illustrative diagram representing the situation.
Step-by-step explanation:
From the diagram
x = /AB/
The height of the cliff is given by ( x + 1.6m)
Considering triangle ABC which is a right-angle triangle
/AB/ is the opposite and
/BC/ is the adjacent ; /BC/ = 50m
Angle of elevation is 58°
Then, we can write that
\(Tan 58^{o} = \frac{/AB/}{50m}\)
\(/AB/ = 50 (tan58^{o})\\\)
\(/AB/ = 50 \times 1.600\)
\(/AB/ = 80.0m\)
Hence, Side /AB/ = 80.0m
Since, /AB/ = x
∴ x = 80.0 m
Recall, the height of the cliff is given by
x + 1.6m
= 80.0m + 1.6m
= 81.6 m
Hence, the height of the cliff is 81.6m
number 7 and number 8
Answer:
Number 7:
connotation: dissimilar from the rest of the group in some ways
denotation: not the same as another or each other; unlike in nature, form, or quality
Number 8:
Neutral
Step-by-step explanation:
Have a good day!
What is the sum of 2.5 × 104 and 3.4 × 104? (1 point)
Answer:
5.9× 10^4
Step-by-step explanation:
I'm assuming that by "104" you actually meant "10^4," which reads "fourth power of 10." Please be sure to use the symbol " ^ " to express exponentiation.
The sum of 2.5 × 10^4 and 3.4 × 10^4 is (2.5 + 3.4)×10^4
or
5.9× 10^4
Two rectangles are similar. The first rectangle has a length of 12 cm and a width of 4 cm. The width of the second rectangle is 20 cm. What is its length?
Answer:
60
Step-by-step explanation:
if they are similar:
4×5=20
so
12×5=60
Simplify the following Boolean function using Boolean Algebra rule. F = xy'z' + xy'z + w'xy + w'x'y' + w'xy
When the above is simplified using Boolean Algebra, we have F = x' + y' + w'xy.
What is the explanation for the above ?
We can simplify the Boolean function F = xy'z' + xy'z+ w'xy + w'x'y' + w'xy using the following Boolean Algebra rules.
Absorption - x + xy = x
Commutativity - xy = yx
Associativity - x(yz) = (xy)z
Distributivity - x(y + z) = xy + xz
Using the above , we have
F = xy'z' + xy'z+ w'xy + w'x'y' + w'xy
= xy'(z + z') + w'xy(x + x')
= xy' + w'xy
= (x' + y)(x' + y') + w'xy
= x' + y' + w'xy
This means that the simplified expression is F = x' + y' + w'xy.
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a rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. along one side the fence is to be made of heavy duty material costing $4 per yard, while the remaining three sides are to be made of cheaper material costing $2 per yard. determine the least cost of fencing for the pen. 1. least cost
The least cost of the fencing, = $74.40
What are materials?
All substances used to create an object are considered materials.
Different materials include clay, glass, paper, paper, wax, water, air, and plastic.
There is matter in all materials.
There are materials in almost everything we know.
Different materials are appropriate for different tasks due to their unique properties.
The optimum material for the project must be selected when anything is needed.
Materials can exist in the forms of a solid, liquid, or gas.
A few substances can change between these states.
In extreme cases, such as when ice is melted from a solid block of ice into a pool of water using heat, this is possible.
Shape of the pen = Rectangular
Area of the pen = 24 yd²
Cost of material on one side of the fence = $4 per yard
Cost of material on the remaining three sides = $2 per yar
The least cost is a minimum value of the cost function
Let L represent the length of the fence and let W represent the width of the fence
We have;
The perimeter of the fence = 2·L + 2·W
The area of the pen, A = L × W = 24
One of the length, L, of the fence costs $4 per yard and the other length L, of the opposite side costs $2per yard.
The cost of fencing, C 3 × 2·W + 4 × L + 2 × L = 6·W + 6·L
C = 6·W + 6·L
W = 24/ L
Which gives;
C = 6 * (24/L) + 6L
C = (144 + 6 L²) ÷ L
The shape of the above function is concave upwards.
At the minimum value, we have;
(dCmin /dl) = d(144/L + 6 L)/dl
= (6 -144/L²) = 0
Which gives;
(144/L²) = 6
L = √ 144/6
The length of the fence that gives the least cost, L = 2.4 yards
The width of the fence at least cost, W = 10 yards
Cost, C = 6·W + 6·L
Least cost, = 6 × 10 + 6 × 2.4 = 74.4
The least cost of the fencing, = $74.40
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Which relation is displayed in the table?
A: {(-2, -3), (1, -1), (2, -2), (3, 3)}
B: {(-3, -2), (-1, 1), (2, -2), (3, 3)}
C: {(-2, -3), (-1, 1), (-2, 2), (3, 3)}
D: {(-2, -3), (-1, 1), (-2, -2), (3, 3)}
The relation displayed in the table is
B: {(-3, -2), (-1, 1), (2, -2), (3, 3)}How to find the relation in the tableThe relation in the table is compared by identifying how a coordinate point are expressed as ordered pair and how they are expressed as a table
For instance, say (b, c) is represented in a table as
x y
a b
Using this instance and writing out the values in the table we have
(3, 3), (-1, 1), (2, -2), and (-3, 2)
This is similar to option B making option B the appropriate option
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3 1/3 divided by 1 1/4 =
ANSWER ASAPPPPPP. BE RIGHT AND EXPLAIN
↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑
Answer:
3/8
Step-by-step explanation:
3 1/3 = 10/3
1 1/4 = 5/4
Remember when dividing by a fraction you can also multiply by its reciprocal meaning flip the numerator and denominator.
so
(3 1/3) / (1 1/4) = (10/3) / (5/4) = (10/3) x (4/5) which is the same as (3/10) x (5/4)
= (3 x 5) / (10 x 4) = 15 / 40
the numerator and denominator have a common factor of 5 so divide the numerator and denominator by 5
15 / 40 = 3/8
please help i've been doing this ages
Olivia grows onions. She has 9 onions in each row of her garden. Her garden has 5 rows. Today she harvested 7 onions. How many onions are left growing in her garden?
given the following set of numbers what is the positive difference between the greatest number in the set and the least number in the set. express your answers as a simplified fraction 1/3 3/10 1/5 and 1/4
Answer:
You gotta give us the numbers at least!
Step-by-step explanation:
Jessica rides the bus 8 4_
5 miles each day. Which statements
correctly describe how far she rides the bus? Mark all
that apply.
A Jessica rides the bus
35 1_
5 miles in 4 days.
B Jessica rides the bus
61 4_
5 miles in 7 days.
C Jessica rides the bus
88 miles in 10 days.
D Jessica rides the bus
218 2_
5 miles in 25 days.
Since Jessica rides the bus 8⁴/₅ miles each day, the statement that correctly describes how far (distance) she rides the bus, using the mathematical operation of multiplication, is C. Jessica rides the bus
88 miles in 10 days.
How to determine the correct statements?We can use the unit rate of how far Jessica rides the bus in a day to determine the correct statements, applying the mathematical operation of multiplication.
The distance covered by Jessica on the bus daily = 8⁴/₅ miles = 8.8 miles
In 4 days, the distance Jessica covers = 35.2 miles (8.8 x 4)
In 7 days, the distance Jessica covers = 61.6 miles (8.8 x 7)
In 10 days, the distance Jessica covers = 88 miles (8.8 x 10)
In 25 days, the distance Jessica covers = 220 miles (8.8 x 25)
Thus, the correct description of how far (distance) Jessica rides the bus is Option C.
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Listed in the accompanying table are weights (lb) of samples of the contents of cans of regular Coke and Diet Coke. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) to (c).
Regular Coke Diet Coke
0.81918 0.77728
0.81502 0.77577
0.81634 0.78963
0.82112 0.78676
0.81811 0.78438
0.82471 0.78607
0.80617 0.78062
0.81280 0.78304
0.81715 0.78520
0.81098 0.78794
0.82510 0.78807
0.82635 0.78261
0.79230
0.78518
0.78719
0.78127
Use a 0.01 significance level to test the claim that the contents of cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.
Can you explain why cans of regular Coke would weigh more than cans of Diet Coke?
A. Cans of regular Coke probably weigh more than cans of Diet Coke due to the extra metal present in a regular Coke can but not a Diet Coke can.
B. Cans of regular Coke probably weigh more than cans of Diet Coke due to Diet Coke cans being only half as large as regular Coke cans.
C. Cans of regular Coke probably weigh more than cans of Diet Coke due to the sugar present in regular Coke but not Diet Coke.
D. There is no reason why they would have different weights.
(a) We can use a two-sample t-test to test the claim that the contents of cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.
The null hypothesis is that the mean weight of regular Coke is equal to or less than the mean weight of Diet Coke, while the alternative hypothesis is that the mean weight of regular Coke is greater than the mean weight of Diet Coke. Using a calculator or statistical software, we find that the test statistic is 4.013 and the p-value is 0.0001. Since the p-value is less than the significance level of 0.01, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the contents of cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.
(b) Cans of regular Coke probably weigh more than cans of Diet Coke due to the sugar present in regular Coke but not Diet Coke. Sugar has weight and adds to the overall weight of the can. Diet Coke uses artificial sweeteners instead of sugar, which would result in a lower weight for the can.
Note: The answer choices provided are not accurate as they do not address the actual reason for the weight difference.
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what if i am in the international space station approximately 240 miles above the surface of the earth. approximately how far away is the horizon?
The horizon is about 1,027 miles away if a person is in the international space station about 240 miles above the surface of the earth.
As a general rule, the horizon is located 2.9 miles away from an observer on the Earth's surface, and it is because of the planet's curvature. If a person moves up in the sky, the horizon line will also move up because the person's line of sight is increasing in distance.
In other words, if a person moves to a higher altitude, they will be able to see farther. The calculation to determine the distance of the horizon is based on the following formula:
D = √[(2Rh) + h²]
D is the distance to the horizon
R is the radius of the earth
h is the height above sea level of the observer in meters.
The radius of the Earth is about 6,371 kilometers, and it can be converted to meters by multiplying it by 1,000. The altitude of the International Space Station (ISS) is approximately 408 kilometers above the Earth's surface or 240 miles.
Using this information, we can calculate the distance to the horizon.
D = √[(2 * 6,371,000) + (408,000)²]D = √[(12,742,000) + (166,464,000,000)]D = √[166,476,742,000]D ≈ 408,216 meters
≈ 1,338,381.8 feet ≈ 403.6 km ≈ 252 miles
Therefore, if a person is on the International Space Station about 240 miles above the Earth's surface, the horizon will be around 1,027 miles away.
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Calculate the compound amount. Use the compound amount formula and a calculator. (Round your answer to two decimal places.)
P = $5700, r = 3% compounded monthly, t = 3 years
Answer:
$6236.56
Step-by-step explanation:
Compound Formula
\(A = P (1+\frac{r}{n} )^n^t\\\)
I plugged in the numbers of P, r, and t.
n means the number of times the interest is applied per period. It is compounded monthly, and the time is given 3 years.
This means 12 months x 3 years = 36 months.
\(A = $5700(1+.03/36)^3^6^(^3^)\)
\(A=6236.559672\)
\(A=6236.56\)
How to find the equation of a line.
Answer:
Step-by-step explanation:
1. Identify the slope.
2. Identify the point.
3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
4. Write the equation in slope-intercept form.