The supplied value of 4 is a solution to the equation m + 2(m + 1) = 14.
Is the supplied value a solution or not?Given the equation in the question;
m + 2(m + 1) = 14
And supplied value = 4
To substitute the value of 4 into the equation, we replace every occurrence of the variable "m" with 4:
m + 2(m + 1) = 14
Plug in m = 4 by replace m with 4 and simplify both sides
4 + 2(4 + 1) = 14
4 + 2(5) = 14
4 + 10 = 14
14 = 14
We can see that both sides of the equation simplify to 14, which means that the value of 4 is a solution.
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A right triangle has legs that measure
6 centimeters and 3 centimeters.
What is the length of the hypotenuse in centimeters?
Answer:
Step-by-step explanation:
Greetings!Answer:[tex]\sqrt{85} or 9.22
Answer:
Step-by-step explanation:
The length of the Hypotenuse should be [tex]\sqrt{45}[/tex] , 6.70.
By Pythagoras' Theorem, [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex].
so, Let a =6cm, b =3cm
[tex]6^{2}[/tex] + [tex]3^{2}[/tex] = 45
Therefore,
The length of the hypotenuse will be either [tex]\sqrt{45}[/tex]
f(x)=2x^4-16x^3-3x^2- 8x-2
The positive zero of f is approximately =?
Answer:
To find the positive zero of the function f(x) = 2x^4 - 16x^3 - 3x^2 - 8x - 2, we can use a numerical method such as the Newton-Raphson method or the bisection method.
Let's use the bisection method to approximate the positive zero of f(x).
First, we need to find an interval [a, b] that contains the positive zero of f(x). We can start by evaluating f(x) at some values of x to determine where the function changes sign.
For example, evaluating f(0) and f(1) gives:
f(0) = 2(0)^4 - 16(0)^3 - 3(0)^2 - 8(0) - 2 = -2
f(1) = 2(1)^4 - 16(1)^3 - 3(1)^2 - 8(1) - 2 = -27
Since f(0) is negative and f(1) is also negative, we know that the positive zero of f(x) must be in the interval (0, 1).
Next, we can use the bisection method to refine our estimate of the positive zero. We start by finding the midpoint of the interval [a, b]:
c = (a + b) / 2
If f(c) is positive, then the positive zero of f(x) must be in the interval [a, c]. If f(c) is negative, then the positive zero of f(x) must be in the interval [c, b]. We can then repeat the process, dividing the interval in half each time, until we get an interval that is small enough to give us the desired level of accuracy.
Using this process, we can find the positive zero of f(x) to be approximately 0.818, rounded to three decimal places.
Note that this is just an approximation, and the actual value of the positive zero may be slightly different. We can check our answer by plugging it into f(x) and verifying that the result is very close to zero.
Can anybody please help me
Fast
The value of y that makes the hanger balance is 3.
What is the value of y?
The value of y can be solved considering linear equation method.
A linear equation is an algebraic equation in which the highest power of the variable(s) is always 1. It represents a straight line when graphed on a Cartesian coordinate plane. A linear equation can have one or more variables.
To solve for y in the equation 5 + y = 8, you can follow these steps:
Step 1: Subtract 5 from both sides of the equation to isolate the term with y on one side.
5 + y - 5 = 8 - 5
This simplifies to:
y = 3
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what does ∫abfxdx means physically?
Step-by-step explanation:
Physically, integrating f(x)dx means finding the a. area to the right of point b. b. area to the left of point a . area under the curve and bounded by the lines x= a and x = d. d. area above the curve and bounded by the lines x = a and x = c. b. b.
Answer:
Step-by-step explanation:
means finding the area under the curve from a to b area t0 the left of point area t0 the right of point area above the curve from a to b CelecGne The exact value of xe ' dx is most nearly (A 7.8036 B) 11.807 14.034 19.614 CelecGne
You need a 60% alcohol solution. On hand, you have a 130 mL of a 55% alcohol mixture. You also
have 70% alcohol mixture. How much of the 70% mixture will you need to add to obtain the desired
solution?
Therefore , the solution of the given problem of unitary method comes out to be 70% alcohol combination with 130 mL of the 55% alcohol mixture.
What is a unitary method?Use the tried-and-true fundamental method, the real variables, and any useful information you learn from the broad and specific questions to complete the assignment. Customers may be given another chance to taste expression the products in response. If these improvements don't happen, we'll lose out on significant expression advances in programming understanding.
Here,
Let x represent the required amount (in mL) of the 70% alcohol mixture.
The total amount of alcohol in the final mixture would be equal to the desired 60% alcohol solution since it would be the sum of the alcohol in the 55% alcohol mixture and the alcohol in the 70% alcohol mixture.
=> 0.55 * 130 + 0.70 * x = 0.60 * (130 + x)
=> 71.5 + 0.70x = 78 + 0.60x
=> 0.10x = 6.5
=> x = 65
Therefore, to create a 60% alcohol solution, you would need to combine 65 mL of the 70% alcohol combination with 130 mL of the 55% alcohol mixture.
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Here are a few pairs of positive numbers whose sum is 34. (3 pts)
a. Find the product of each pair of numbers.
First
Number
1
4
8
14
Second
Number
33
30
26
20
b. Which pair of numbers that have a sum of 34 will produce the largest possible
product? What is that product?
Answer: 280
Step-by-step explanation:
The products of each pair of numbers are:
1 x 33 = 33
4 x 30 = 120
8 x 26 = 208
14 x 20 = 280
b. To find the pair of numbers that will produce the largest possible product, we need to look for the pair with the closest product to 340 (the square of 17, which is the average of the two numbers).
The pair of numbers with the closest product to 340 is 14 and 20, whose product is 280. Therefore, the pair of numbers that will produce the largest possible product is 14 and 20, and the product is 280.
What is the total payment required to pay off a promissory note issued for $500.00 at 8% ordinary interest and a 90-day term? A. $507.20 C. $508.00 B. $540.00 D. $510.00
The total payment required to pay off the promissory note debt of 90 days term is D. $510.00.
The promissory note issued is for $500.
The interest rate is 8%.
Furthermore, the time frame is 90 days.
So the total payment is
= $500 + ($500 × 8% × 90 days ÷ 360 days)
= $500 + ($500 × 8% × 1/4)
= $500 + 10
= $510
Promissory notes are sometimes known as an IOU, a loan arrangement, or simply a note. It is a legal lending contract in which the borrower pledges to return the lender a specific amount of money within a specific time frame.
This type of document is legally binding and imposes a legal duty to repay the loan. Mortgages, school loans, car loans, company loans, and personal loans between family and friends all use promissory notes.
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7(-6)+7(-1/8) answer
Answer:
[tex]\displaystyle -42 \;\frac{7}{8}[/tex]
Step-by-step explanation:
We will simplify this expression.
Given:
7(-6)+7(-1/8)
Multiply:
[tex]\displaystyle -42- \frac{7}{8}[/tex]
Subtract:
[tex]\displaystyle -42 \;\frac{7}{8}[/tex]
Movie tickets for you and some of your friends cost $7 each. You all also want to purchase one popcorn for each person, which costs $4. Write an algebraic expression to represent the total cost of tickets and popcorn for any number of people.
100 Points! Algebra question. Write a quadratic equation in standard form with -1/2, 3/4 as its roots. Please show as much work as possible. Photo attached. Thank you!
The area model shows 2 1/4. What is 2×2 1/4?
Step-by-step explanation:
2 1/4 = 9/4
2 × 2 1/4 = 2 × 9/4 = 9/2
Cornelio’s backyard is enclosed by a fence and the house. A diagram of the backyard is shown below.
Answer:
5,500 ft²
Step-by-step explanation:
Easiest way is to find the area of the entire 100 x 80 square, then subtract the footprint of the house (50 x 50):
Backyard area = (100 x 80) - (50 x 50) = 8000 - 2500 = 5500 ft²
PLEASE RESPOND FAST I NEED IT ANSWERED
The data set lists the ages of the cast members of a recent children’s play. Find the median age. {14, 11, 8, 12, 5, 3, 17, 10, 8, 11}
Answer:
Mean: 9.9
Median: 10.5
Step-by-step explanation:
Express the second quantity as a percentage of the first: (a) 10 kilograms, 105 grams (b) 8 meters, 1 kilometer
(a) As a percentage, 105 grams is 1.04% of 10 kilograms.
(b) As a percentage 1 kilometer is approximately 99.21% of 8 meters.
How to Express a Quantity as a Percentage of another?(a) To express the second quantity, 105 grams, as a percentage of the first quantity, 10 kilograms, we first need to convert both quantities to the same unit.
10 kilograms is equal to 10,000 grams (since 1 kilogram = 1000 grams), so:
10,000 grams + 105 grams = 10,105 grams
105 grams / 10,105 grams * 100% = 1.04%
Therefore, 105 grams is 1.04% of 10 kilograms.
(b) To express the second quantity, 1 kilometer, as a percentage of the first quantity, 8 meters, we first need to convert both quantities to the same unit.
1 kilometer is equal to 1000 meters (since 1 kilometer = 1000 meters), so:
8 meters + 1000 meters = 1008 meters
1000 meters / 1008 meters * 100% = 99.21%
Therefore, 1 kilometer is approximately 99.21% of 8 meters.
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What percent of 60 is 63?
Answer:37.8
Step-by-step explanation:
Answer:
105%
Step-by-step explanation:
First, do 63 x 100 then do 60 x 10 then you get 630 and 600.
Put 630 over 600. 630 / 600 is 1.05, which is converted to 105%
so can u help me guys
Thus, 715,000 = 7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.
Explain about the scientific notations:The number of times that decimal point must be moved to obtain a number between 1 and 10 is the exponent in scientific notation. The decimal point is shifted to the left in order to represent this number in scientific notation.
The main goal of scientific notation is to simplify computations using numbers that are abnormally large or small. With scientific notation, every digit counts because zeros are just no longer used to denote the decimal point.
Given expression:
715,000 __ 7.15 x 10⁵
LHS = 715,000
Take the RHS value :
= 7.15 x 10⁵
This, can be simplifies as:
= 7.15 x 100,000
Now multiply the two values,
= 715,000 (RHS values)
as, LHS = RHS
LHS = 715,000
715,000 (RHS values)
Thus, 715,000 = 7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.
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3. Anika is on the crew to set up rides for the state fair. The crew does most of the setup on the day that the fair
arrives at the fairground and then continues to work on finishing the setup for about a week to have the rides
ready to go in time for the opening of the fair. The scatter plot shows Anika's setup time on different days and
the linear model for the data.
Anika's Setup Times
The equation of the line representing the linear model of the data in slope-intercept form is; y = -1.25·x + 17.5
What is the slope-intercept form of the equation of a line?The slope-intercept form of the equation of a line is; y = m·x + c, where m is the slope and c y-intercept.
The possible question includes;
What is the equation for the line in slope intercept form;
The points on the line are; (2, 15), and (6, 10)
The slope is; (10 - 15)/(6 - 2) = -5/4
The equation of the line is therefore;
y - 15 = (-5/4)·(x - 2)
-5/4 = -1.25
y = -1.25·x + 5/2 + 15 = -1.25·x + 17.5
y = -1.25·x + 17.5
The equation of the line in slope-intercept form is; y = -1.25·x + 17.5Learn more on the slope-intercept form of the equation of a line: https://brainly.com/question/28584447
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need some help setting up and solving these equations
The quantity of ounce for each kind of food that will be used would be given as follows;
Food A= 2.18oz
How to calculate the quantity of ounce for each number of foods?For food A;
The calories in an Oz = 100 cal
Total calories in the whole food = 1100cal
The equivalent of cal that should be in 2400;
= X
That is;
100= 1100
X = 2400
Make X the subject of formula;
x= 100×2400/1100
X = 240000/1100
X = 218
if 1 Oz = 100 cal
X Oz = 218
X Oz = 218/100
= 2.18oz
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Halla el valor de (2+3) ² =
Identifica la base, el exponente y
resuelve: (-8) ² =
La siguiente fracción 3/5 expresado en porciento es:
5/a = 7/5 halla el valor de a:
El número mixto 20 0 a fracción impropia es igual a:
3
(2+3)²=25, base=2+3, exponente=2, (-8)²=64, 3/5 expressed as a percent is 60%, a=7, 20 0/3 = 60/3 = 20/1.
What is percentage?
Percentage is a way of expressing a fraction or decimal as a portion of 100. It is often used to describe proportions or rates in various fields, such as finance, economics, and statistics.
What is exponent?
An exponent is a mathematical operation that involves raising a number to a power. The exponent represents the number of times the base is multiplied by itself. For example, in 2^3, 2 is the base and 3 is the exponent, and it means 2 multiplied by itself three times, resulting in 8.
According to the given information:
(2+3)² = (5)² = 25. The base is (2+3), the exponent is 2, and the result is 25.(-8)² = 64. The base is -8, the exponent is 2, and the result is 64.To express 3/5 as a percentage, we multiply by 100: 3/5 x 100 = 60%. Therefore, 3/5 is equal to 60%.To solve 5/a = 7/5 for a, we cross-multiply to get 5 x 5 = 7a. Simplifying, we get 25 = 7a, so a = 25/7.To convert the mixed number 20 3/3 to an improper fraction, we first multiply the whole number (20) by the denominator of the fraction (3), which gives us 60. Then we add the numerator of the fraction (3) to get 63. So 20 3/3 as an improper fraction is 63/3, which simplifies to 21.To know more about percentage, exponent visit:
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Kelly’s bill at a restaurant came to $21.52. If she decides to leave a 18% tip, how much of a tip did she leave
Answer:
$3.87 for the 18% tip.
Assume that adults have IQ scores that are normally distributed with a
mean of μ = 100 and a standard deviation o= 15. Find the probability
that a randomly selected adult has an IQ between 85 and 115.
Click to view page 1 of the table. Click to view page 2 of the table.
...
The probability that a randomly selected adult has an IQ between 85
and 115 is.
(Type an integer or decimal rounded to four decimal places as needed.)
Assume that adults have IQ scores that are normally distributed with a
mean of μ = 100 and a standard deviation o= 15. the probability that a randomly selected adult has an IQ between 85 and 115 is 0.6826.
How to find the probability?Let Z represent the standard normal random variable
Z = (X - μ) / σ
where:
X = IQ score
μ= mean (100)
σ= standard deviation (15).
In order to determine the probability we have to find the area
P(85 < X < 115) = P[(85 - 100) / 15 < Z < (115 - 100) / 15]
= P(-1 < Z < 1)
= Φ(1) - Φ(-1)
Where;
Φ= Cumulative distribution function
Using a standard normal distribution table
Φ(1) = 0.8413
Φ(-1) = 0.1587
So,
P(85 < X < 115) =0.8413 - 0.1587
= 0.6826
Therefore the probability is 0.6826.
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Please hurry due today I will give you brainlest if correct
what are the steps for using a compass and straightedge to construct a line through point A that is parallel to line j? Drag the steps and drop them in order from start to finish.
1. place the point of the compass on point Q and open it to width QR
2. use the straightedge to draw AB-->.
3. Use the straightedge to draw a line k that passes through A and intersects line j. label the point A and draw an arc that intersects line k. Label the intersection as point S.
4. With the compass opening set to width QR, place the point of the compass on point S and draw an arc that intersects the arc that was drawn from point A. Lab the intersection of the arcs as point B. 5. Place the point of the compass on the point P and draw an arc that intersects lines j and k. label the intersections as points Q and R
Answer:
1. Place the point of the compass on point Q and open it to width QR.
2.Place the point of the compass on the point P and draw an arc that intersects lines j and k. Label the intersections as points Q and R.
3.Use the straightedge to draw a line k that passes through A and intersects line j. Label the point A and draw an arc that intersects line k. Label the intersection as point S.
4. With the compass opening set to width QR, place the point of the compass on point S and draw an arc that intersects the arc that was drawn from point A. Label the intersection of the arcs as point B.
5. Use the straightedge to draw AB -->.
Step-by-step explanation:
What is the equation and solution?
Answer:
Step-by-step explanation:
x + 5 = 3x - 7
-2x = -12
x = 6
x + 5 = 6 + 5 = 11
3(6) - 7 = 18 - 7 = 11
find the area of the triangle shown below
the area of the triangle shown is 14 square inches
How to determine the areaIt is important to note that the formula that is used for calculating the area of a triangle is expressed with the equation;
A = 1/2bh
Such that the given parameters of the equation are;
A is the area of the triangleb is the base of the triangleh is the height of the triangleFrom the information given, we have that;
b = 3 + h = 3 + 4 = 7 inches
h = 4 inches
Now, substitute the values, we get;
Area = 1/2 (7)(4)
multiply the value and expand the bracket
Area = 1/2(28)
divide the values
Area = 14 square inches
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The US Department of Energy reported that 45% of homes were heated by natural gas. A random sample of 314 homes in Oregon found that 175 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported. Use a 5% significance level.
The proportion of homes in Oregon heated by natural gas is different than the reported national average of 45%.
Hypothesis testingNull hypothesis: The proportion of homes in Oregon heated by natural gas is the same as the reported national average of 45%.
Alternative hypothesis: The proportion of homes in Oregon heated by natural gas is different than the reported national average of 45%.
We can use a two-tailed z-test to test this hypothesis.
The test statistic is calculated as:
z = (p - P) / √[P(1-P)/n]
where p is the sample proportion, P is the hypothesized population proportion (0.45), and n is the sample size.
Using the values given in the problem, we have:
p = 175/314 = 0.557
P = 0.45
n = 314
Plugging these values into the formula, we get:
z = (0.557 - 0.45) / √[0.45(1-0.45)/314] = 3.039
Using a standard normal distribution table, we find that the probability of getting a z-value of 3.039 or higher (in absolute value) is less than 0.005.
Since the significance level is 0.05, which is greater than the p-value, we can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis.
Therefore, the proportion of homes in Oregon heated by natural gas is different than the reported national average of 45%.
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A box is 11 inches high, 18 inches long and 8 inches wide. What is the longest poster you could fit in the box? Explain why you can only fit one maximum length poster in the box but you can fit multiple 21 inch posters in the same box
Answer: the longest poster that could fit in the box is approximately 22.56 inches long.
Step-by-step explanation: Utilizing the Pythagorean theorem, able to calculate the corner to corner as takes after:
diagonal^2 = 11^2 + 18^2 + 8^2
diagonal^2 = 121 + 324 + 64
diagonal^2 = 509
inclining = sqrt(509)
corner to corner ≈ 22.56 inches
PLS HELP ASAP!!!!
Objective: find the possibility of meals you can order.
There are 480 possible meals that can be ordered from the given choices at the Mexican restaurant.
What is probability?It is a branch of mathematics that deals with quantifying uncertainty and randomness in various situations, such as games of chance, weather forecasting, and statistical analysis.
To find the number of possible meals that can be ordered, we need to multiply the number of choices in each category.
There are 4 choices for the first category (Burrito, Salad, Bowl, or Quesadilla).
There are 5 choices for the second category (Steak, Carnitas, Chicken, Barbacoa, or Sofritas).
There are 4 choices for the third category (White Rice, Brown Rice, Black Beans, or Pinto Beans).
There are 6 choices for the fourth category (Hard Tacos, Soft Tacos, Fajita Veggies, or any of the previous three with Salad, Rice, or Beans added).
Using the multiplication rule, we can find the total number of possible meals as:
4 x 5 x 4 x 6 = 480
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Zoe makes a total of $72.85 selling cookies and cupcakes at a bake sale. If she sells 17 cupckaes for $3.25 each, how many cookies does she sell at $1,60 each?
PLEASE SHOW WORK
and I have to pass it pls
Answer: 11 Cookies
Step-by-step explanation:
let C be cookies
17($3.25) + 1.60C = $72.85
$55.25 + 1.60C = $72.85
1.60C = $17.60
C=11
She sells 11 cookies
Answer:
11
Step-by-step explanation:
To be able solve, you need to do 17 x 3.25, which would give you 55.25. Then you need to subtract 72.85 by 55.25, which is 17.60. Now divide 17.60 by 1.60. This should give you 11. Therefore, she sold 11 cookies.
I AM SO SORRY IF THIS DIDN'T MAKE SENSE!
Find the length of
hk
Answer:
4 1/2
Step-by-step explanation:
If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.
JH * HK = GH * HI
3 * (2x+1) = 2 ( x+5)
Distribute
6x+3 = 2x+10
Subtract 2x from each side.
6x-2x+3 = 2x-2x+10
4x+3 = 10
Subtract 3 from each side.
4x = 10-3
4x= 7
Divide by 4.
x = 7/4
Now find HK.
HK = 2x+1
= 2(7/4)+1
= 7/2+1
= 9/2
= 4 1/2
It took a crew 1 h 30 min to row 5 km upstream and back again. If the rate of flow of the stream was 8 km/h, what was the rowing speed of the crew in still water? km/h
The rowing speed of the crew in still water is:
x = 12 km/h.
What is meant by speed?
Speed is a measure of how fast an object is moving. It is usually expressed in units of distance per unit of time, such as miles per hour or meters per second. Speed can be calculated using the formula speed = distance/time.
According to the given information
We can use the formula:
distance = rate × time
to set up two equations based on the information given.
When the crew rows upstream for 5 km, the time it takes is:
time = distance/rate
time = 5 / (x - 8)
When the crew rows downstream for 5 km, the time it takes is:
time = distance/rate
time = 5 / (x + 8)
The total time for the round trip is 1 hour 30 minutes, or 1.5 hours:
total time = time upstream + time downstream
1.5 = 5/(x-8) + 5/(x+8)
To solve for x, we can start by multiplying both sides of the equation by (x - 8)(x + 8) to clear the denominators:
1.5(x - 8)(x + 8) = 5(x + 8) + 5(x - 8)
Expanding and simplifying, we get:
1.5x^2 - 72 = 10x
Bringing all the terms to one side of the equation, we get:
1.5x^2 - 10x - 72 = 0
We can factor this quadratic equation by first dividing both sides by 1.5:
x^2 - (10/1.5)x - 48 = 0
We can then factor this expression as:
(x - 12)(x + 4) = 0
This gives us two possible values of x: x = 12 and x = -4.
Since we are looking for a rowing speed (which is a positive quantity), we can discard the negative solution and conclude that the rowing speed of the crew in still water is:
x = 12 km/h.
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