Answer:
4x +8= 20
2x+3= 9
Step-by-step explanation:
4 times 3 equals 12 and 12+8 = 20
2 times 3 is 6 and 6+3=9
Answer:
4x+8=20
2x+3=9
Step-by-step explanation:
I used substitution.
I substituted x with 3 so
4(3)+8=20
same with the other one,
2(3)+3=9
Hope this helped!
Adult humans have approximately 2.6 x 10^13 red blood cells and 3.92 x 10^10 white blood cell
About how many times greater is the number of red blood cells than white blood cells
Answer:
1.32
Step-by-step explanation:
the two triangles are congruent as suggested by their appearance find the value of c
Since the triangles are congruent, the value of c is 3 as shown in the second triangle.
Option d is right
Imperfections in computer circuit boards and computer chips lend themselves to
statistical treatment. For a particular type of board, the probability of a diode failure is
0. 04 and the board contains 200 diodes.
a) What is the mean number of failures among the diodes?
b) What is the variance?
c) The board will work if there are no defective diodes. What is the probability that a
board will work?
d) How many diodes are correct until we get the first diode failure?
e) What is the probability that we have at least 5 diodes until the first failure?
Thus, we need to find the smallest value of n such that P(first failure on nth trial) ≥ 0.5.P (first failure on 1st trial) = 0.04P (first failure on 2nd trial) = 0.96 x 0.04 = 0.0384P (first failure on 3rd trial) = 0.96^2 x 0.04 = 0.036864P (first failure on 4th trial) = 0.96^3 x 0.04 = 0.035359744And so on.
We can see that the probability decreases with each trial. Therefore, the smallest value of n for which P(first failure on nth trial) ≥ 0.5 is n = 15.e) Probability of at Least 5 Diodes until the First Failure The probability of at least 5 diodes working until the first failure can be modeled by a negative binomial distribution.
The probability of success in one trial is 0.96, and the probability of failure is 0.04. Therefore, the probability of getting r successful trials before the first failure in the nth trial is given by:P (r successful trials before first failure) = (n-1)Cr-1 * p^r * (1-p)^(n-r)Here, r = 5, n = 6, p = 0.96, and 1-p = 0.04.P (5 successful trials before first failure) = 5C4 x 0.96^5 x 0.04^1 + 5C5 x 0.96^6 x 0.04^0= 0.746015552or 74.6016%Answer: Mean number of failures = 8 failures. Variance = 7.68. Probability of the board working = 29.923%. The number of diodes that work until the first failure is 15. The probability of at least 5 diodes working until the first failure is 74.6016%.
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Alexa has 5 more dollars than Caitlin. Altogether, Alexa and Caitlin have 45 dollars. How much money does each young lady have?
Answer:
Alexa has $27.50, Caitlin has $17.50
Step-by-step explanation:
$45 Altogether
Alexa+ Caitlin=2
$45/2=$22.50
Alexa has $5 more dollars than Caitlin
$22.50-$5=$17.50
$22.50+$5=$27.50
convert decimal number 0.5625 (or 9/16) to a single-precision floating point number. the answer should be given in hex at the end. (failed to provide steps will result in losing most of the points of the question.)
The single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.
How to solve for the single-precision floating pointIdentify the sign bit. In this case, the number is positive, so the sign bit is 0.
Convert the decimal number to binary. The decimal number 0.5625 (or 9/16) can be converted to binary as follows: 0.1001.
Convert the 32-bit binary number to hexadecimal. To do this, group the binary number into blocks of 4, from right to left, and convert each block into its hexadecimal equivalent:
0000 -> 0
0000 -> 0
0000 -> 0
0000 -> 0
0000 -> 0
0001 -> 1
0000 -> 0
0111 -> 7
1110 -> E
0 -> 0
So, the single-precision floating point representation of 0.5625 in hexadecimal is: 0x3E100000.
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The density of a substance can be found by dividing the mass of the substance by the volume of the substance. A sheet of pure iron has a mass of 500 grams and a volume of 4 in3. Write an equation of the form m=dv, where m represents the mass of a sheet of iron in grams, v represents the volume of a sheet of iron in cubic inches, and d is a constant, the density of iron in grams per cubic inch
Answer:
D=375g/cubic inch
Step-by-step explanation:
D=500 divided by 4/3
Amy,Corey, and John go to Central Park to throw a flying disk among themselves. they stand at the positions as shown on the coordinate grid below...PLEASE HELP QUICK! I WILL GIVE BRAILY ANSWER THING PLEASEEE
Answer:
B
Step-by-step explanation:
It is what it is
Equation C is an example of Distributive Property of Multiplication over Addition. It can be used
when you multiply a number by a sum. According to this property, you can add the numbers
and then multiply by 8 or you can first multiply each addend by 3. (This is called distributing
the 3. ) Then, you can add the products. C. 8x (3 + 4) = (8x 3) + (8x 4)
8x7= 24 + 32
2x (5+ 6) = (2x 5) + (2x 6)
Simplified form of the expression 8 ( 3 + 4 ) using the Distributive Property of Multiplication over Addition is 56
To apply the Distributive Property of Multiplication over Addition, you need to multiply the number outside the parentheses by each term inside the parentheses and then add the products together.
In this case, the number outside the parentheses is 8, and the terms inside the parentheses are 3 and 4. So, you can apply the distributive property as follows:
8 ( 3 + 4 ) = 8 × 3 + 8 × 4
Multiply the numbers
= 24 + 32
Add the numbers
= 56
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Rational Exponents Practice- Practice (1-10)
4. Write the expression in rational form. (1 point)
t^-3/4
A. ^4√t^3
B. 1/^4√t^3
C. -^4√t^3
D. -^3√t^4
Therefore, the expression \(t^{(-3/4)}\) in rational form is:
\(B. 1/^4 \sqrt {t^3}\)
What is the exponential function?
An exponential function is a mathematical function of the form:
f(x) = aˣ
where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.
To write the expression \(t^{(-3/4)}\) in rational form, we need to eliminate the negative exponent.
Recall that a negative exponent can be rewritten as the reciprocal of the positive exponent. In this case, \(t^{(-3/4)}\) can be written as 1/ \(t^{(-3/4)}\).
Therefore, the expression \(t^{(-3/4)}\)in rational form is:
\(B. 1/^4 \sqrt {t^3}\)
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what is a factor for -20?
Answer:
1 ,2,4,5,10,-1,-2,-4,-5,-10,20
Answer:
factors are 2 and 5.
Step-by-step explanation:
Factors are numbers which you can multiply together to get another number. For Example : The numbers 2 and 3 are factors of 6 because 2 x 3 = 6. A number can have many factors! Example : 2 and 4 are factors of 8, because 4 x 2 = 8. Also 1 and 8 can also be factors of 8, because 1 x 8 = 8.
on prime factorization, we get the factors of 20 as,
2 x 2 x 5 = 20.
Essentially, to factor a negative number, find all of its positive factors, then duplicate them and write a negative sign in front of the duplicates. For instance, the positive factors of −3 are 1 and 3.
-2 x 2 x 5 = -20
2 x 2 x -5 = -20
Balloons are filled to capacity outdoors where the temperature is 25∘F. They are brought indoors where the temperature is 70∘F. Explain what will happen to the balloons as they warm up indoors.
When balloons filled to capacity outdoors at a temperature of 25∘F are brought indoors where the temperature is 70∘F, they will expand and increase in size as they warm up. The increase in temperature causes the air molecules inside the balloons to gain energy and move more rapidly.
When the balloons are brought indoors where the temperature is 70∘F, the air inside the balloons will begin to warm up. As the temperature increases, the air molecules inside the balloons gain energy and start to move more rapidly. This increased movement of the air molecules causes them to collide with the walls of the balloons more frequently and with greater force.
The collision of the air molecules with the walls of the balloons creates pressure inside the balloons. As the pressure increases, the balloons will start to expand and stretch. This expansion occurs because the rubber material of the balloons is flexible and can accommodate the increased volume of air.
As the balloons continue to warm up, the expansion will become more noticeable. The balloons will increase in size and become tauter. This happens because the air molecules inside the balloons are now occupying a larger space due to the increase in temperature. The rubber material of the balloons stretches to accommodate the greater volume of air.
It's important to note that if the temperature difference is significant, the expanding balloons may eventually reach their limits and could potentially burst if they are unable to withstand the internal pressure. Therefore, it's crucial to consider the temperature conditions when filling balloons to avoid overinflation.
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Please help fast I got to turn it in
Alex is making pasta salad. the ration of ounces of oil to cups of pasta is three to five. how many ounces of oil will alex need to make 64 cups of pasta
In mathematics, we can define ratio as how many times one number contains another. In the other word, a ratio says how much of one thing there is compared to another thing. Example, there are ten apples and six lemons in a basket of fruit, then the ratio of apples to lemons is ten to six (10:6). We can also say that the ratio of apples to the total amount of fruit is 10:16.
Ratios making us easier to understand the case by allow us to measure and express quantities.
Case:
- Alex's Salad contains oil and pasta.
- The ratio of ounces oil to cups of pasta is 3:5
How many ounces of oil will alex need to make 64 cups of pasta?
Oil = \(\frac{3}{5}\) x 64 = 38,4
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Dialo walked 42,240 feet in two hours. How many miles will he walk in three hours
at this speed? (Note: 1 mile = 5,280 feet.)
Answer:
12 miles
Step-by-step explanation:
he is walking at four miles per hour
1. What is the m2<5? Explain how you know. (2 points)
2.What is the measure of the sum of the angles in a triangle? (2 points)
3. L3 is in a triangle with L4 and L5. Write and solve an equation to find the m L3. (2 points)
4. What is the measure of a straight angle? (2 points)
5. L2 is in a straight line with L1 and L3. Write and solve an equation to find the m L2 (2 points)
Last week at a gym, 120 people participated in a biking class. The number of people who ran on a treadmill was 150% of the number of people who participated in a biking class. How many people ran on a treadmill at the gym last week?
Answer:
180.
Step-by-step explanation:
Trust me.
PLS ANSWER ASAP!!!!!! To solve x^2−8x=10 by completing the square, what should be added to both sides? A. 64 B. 16 C. 8 D. −16
Answer:
B. 16
Step-by-step explanation:
x² − 8x = 10
x² − 8x + (-4)² = 10 + (-4)²
x² − 8x + 16 = 10 + 16 --------- added 16 to both sides.
to finish the equation..
x² − 8x + 16 = 26
(x - 4)² = 26
\(\sqrt(x - 4)^2 = \sqrt{26}\)
x = \(\sqrt{26} + 4\)
x = \(4 - \sqrt{26}\)
Answer:
\(\Huge \boxed{\mathrm{B. \ 16}}\)
\(\rule[225]{225}{2}\)
Step-by-step explanation:
\(x^2-8x=10\)
The equation is in the form ax² + bx = -c. The value of b in the equation is -8.
To complete the square, we need to add (b/2)² = (-8/2)² = -4² = 16 to both sides.
\(x^2-8x+16=26\)
Factoring left side of the equation.
\((x-4)^2 =26\)
Taking the square root of both sides.
\(x-4=\pm\sqrt{26}\)
Adding 4 to both sides.
\(x=4\pm\sqrt{26}\)
\(\rule[225]{225}{2}\)
pls help, it is due now. Thank You so much to whoever helps!
Answer:
(7, -1)
Step-by-step explanation:
3x + 7y = 14
y = x - 8
3x + 7(x - 8) = 14
3x + 7x - 56 = 14
10x - 56 = 14
Add 56 to both sides.
10x = 70
Divide both sides by 10.
x = 7
3(7) + 7y = 14
21 + 7y = 14
Subtract 21 from both sides.
7y = -7
Divide both sides by 7.
y = -1
(7, -1)
any one single and i need help 50 times 6 dived by 30
Answer:
ahah yea and its 10 by the way
Answer:
heyyyyy :) its 10
Step-by-step explanation:
What would x equal (rounded to the nearest tenth)
Pls help me
BRAINLIST
Answer:
I think it's 60%
Step-by-step explanation:
There are total 10 sophomores, and 6 are male, so 6/10 are male, meaning there's a 60% chance.
I hope this helps you! Please give brainliest!
A driver is 19 meters below the surface of the water. Use an integer to represent how far the driver will need to travel to reach the suface
Answer:
19 metres
Step-by-step explanation:
5−4+7x+1=
x +
yggggggggggggggggggggggggggggggggggggg
The solution to the equation 5 − 4 + 7x + 1 = x is -1/3
How to determine the solution to the equation?From the question, we have the following expression that can be used in our computation:
5−4+7x+1=x
Rewrite properly
So, we have
5 − 4 + 7x + 1 = x
Evaluate the like terms
So, we have the following representation
7x + 2 = x
Evaluate the like terms again
So, we have the following representation
-6x = 2
Next, we have
x = 2/-6
Rewrite as
x = -1/3
Hence, the solution is x = -1/3
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Complete question
Solve the equation
5−4+7x+1=x
Given the numbers 30 and 45, find the greatest common factor of the two numbers.
Answer:
15
Step-by-step explanation:
Factors of 30: 1:2:3,5,6,10,15
Factors of 45: 1,3,5,9,15,45
15 is the greatest common factor.
Answer:
15
Step-by-step explanation:
30- 1, 2, 3, 5, 6, 10, 15, 30
45- 1, 3, 5, 9, 15, 45
Initially, there are 5 red beans and 9 black beans in a bag. then, 3 red beans and
3 black beans are added to the bag. if one bean is randomly chosen from the bag,
what is the probability that this bean is red?
first correct answer will get marked brainiest
Answer:
I honestly don know but uh imma straight-up guess if there was 5 red beans and 9 black beans and I added 3 more red beans 3+5=8 so now 8 red beans then at 3 more black beans 9+3=12 so we would have more black beans then red beans so it would be most likely to grab a black bean.
Step-by-step explanation:
5 +3= 8 red beans
9 +3= 12 black beans
Convert the rectangular coordinate, (-472, -4/2),to a polar coordinate (r, 0).r=[ Select]A= [Select ]
We have two formulas to convert from polar to cartesian coordinates:
x = r cos θ
y = r sin θ
We need to find the values of r and θ, in terms of x = -4 √2 and y = -4 √2
If we divide:
y/x = sin θ / cos θ = tan θ
Replacing x and y we find that:
tan θ = ( -4 √2 ) / ( -4 √2 ) = 1
We can calculate the inverse of the tan function:
θ = arc tan (1) = 225º,
Sorry, but the inverse of the tan function has many results. We can see that the results are two, 45º and also 45º+180º = 225º. The first one give us a point in the first quadrant (positive values for x and y); and the second one give us a point in the third quadrant (negative values for x and y). So we must select the second value in order to have negative values of x and y.
Now we must calculate the value of r. In order to calculate the value of r we can use the following formula:
\(x^2+y^2\text{ = r}^2\)So, the value of r is (if we replace the values of x and y and compute the square root):
\(r\text{ = }\sqrt[]{x^2+y^2}\text{ = }\sqrt[]{64}=\text{ 8}\)So the answer is:
r = 8
θ = 225º
Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work. PLSSSSSSS HELPPPP SHOW UR WORK TO ON HOW YOU FIGURED IT OUT THE EQUATION FOR IT USE SLOPE TOO ILL INCLUDE AN IMAGE TOO
The linear function that represents the trend line is given by:
C(f) = 50f + 100.
What is a linear function?A linear function is defined according to the following rule:
y = mx + b.
In which the parameters m and b are defined as follows:
m is the slope of the function = rate of change.b is the y-intercept of the function = initial value.For the trend line, when fat = 0, calories = 100, hence the intercept of the function is given by:
b = 100.
When the fat increases by 2, the calories increase by 100, hence the slope is given by:
m = 100/2 = 50.
This constant rate of change is true for the entire trend line, hence it represents a linear function.
The function is given by:
C(f) = 50f + 100.
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If the public debt of a country in 2009 was $11,982,000,000,000and the
budget for 2010 was in deficit by $101,347,000,000 , what was the public debt
in 2010? Do not include commas in your answer.
If a country's public debt in 2009 was $11,982,000,000,000 and its budget for 2010 was $101,347,000,000 in deficit, the public debt in 2010 is $12083347000000.
What is public debt?Government obligations, particularly those evidenced by securities, to pay certain sums to holders at some future time. Private debt, which includes the obligations of individuals, businesses, and nongovernmental organizations, is distinct from public debt. A debt-to-GDP ratio compares a country's total debt to its economic productivity. Divide a country's debt by its GDP to calculate the debt-to-GDP ratio. Governments can use public debt to raise funds to expand their economies or pay for services. Politicians would rather increase the national debt than raise taxes. The national debt includes public debt, and when the national debt reaches 77% or more of GDP, the debt begins to slow growth.As given
if the public debt of a country in 2009 was $11,982,000,000,000 and the budget for 2010 was in deficit by $101,347,000,000 .
Total public debt in 2010 = Public debt in 2009 + Amount by which 2010 budget deficit .
= $ 11982000000000 + 101347000000
= $ 12083347000000
Therefore the public debt in 2010 is $12083347000000.
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The piecewise function f(x) has opposite expressions.
f(x) = StartLayout Enlarged left-brace 1st Row 1st column 2 x minus 1, 2nd column x less-than 0 2nd Row 1st column 0, 2nd column x = 0 3rd Row 1st column negative 2 x + 1, 2nd column x greater-than 0
Which is the graph of f(x)?
The graph of piecewise function is shown in graph.
On a coordinate plane, a piecewise function has 2 lines. The first line goes up from (negative 2, negative 5) to a closed circle at (0, -1). The second line has a closed circle at (0, 1) and goes down through (2, -3).
The value of piecewise function, or function by parts is,
f (x) = {2x - 1 , x < 0
={ 0 , x = 0
= {- 2x + 1, x> 0
Since, Piecewise function is a function where each piece of function describes a behavior, i.e. returning another value depending on the input value.
Piecewise functions are pretty useful when we study limits.
According to the description given, The second behavior (0,0) we'll describe it as a point.
Thus, The graph of piecewise function is shown in graph.
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What is 325 percent of $120? Use the diagram to solve the problem.
A 2-column table with 5 rows. Column 1 has entries 100 percent, 100 percent, 100 percent, 25 percent, Total 325 percent. Column 2 has entries 120 dollars, 120 dollars, 120 dollars, A, Total B.
A =
B =
Answer: 390 I’m sorry if it was wrong but that what I got
Answer: A: 30 B: 390.