Answer:
15
Step-by-step explanation:
10x4=40
40'/2=20
20-5=15
help the q questions are in the file 49 points algebra
By the laws of exponents, we are going to have that;
1) x^7/4
2) 2^1/12
3) 81y^8z^20
4) 200x^5y^18
Using exponentsExponents are a sort of mathematical notation used to show the size of a number raised to a particular power or the repeated multiplication of a number by itself. Exponents are also referred to as powers or indexes. As a streamlined version of repeated multiplication, they are used.
We have that;
1) 4√x^3 . x
x^3/4 * x
= x^7/4
2) Again;
3√2 ÷ 4√2
2^1/3 -2^1/4
2^1/12
3) Now;
(3y^2z^5)^4
81y^8z^20
4) Finally;
(5xy^3)^2 . (2xy^4)^3
25x^2y^6 . 8x^3y^12
200x^5y^18
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There are four candidates for homecoming queen and three for king. How many different king-queen combinatons are there
There will be 12 combination of different king-queen.
When grouping objects or figuring out how many subgroups can be created from a given collection of objects, combinations are employed. We also employ permutations to calculate the number of possible combinations of unrelated things.
To determine the number of different king-queen combinations, we need to multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king.
There are 4 candidates for queen and 3 candidates for king, so:
4 x 3 = 12
Therefore, the total number of different king-queen combinations is 4 multiplied by 3, which equals 12. So, there are 12 different king-queen combinations.
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Of the students at Nelsen middle school there are 144 girls at 45% of the students are girls how many total students are there at Milton middle school
Answer:
There are 320 students at Milton middle school.
Step-by-step explanation:
From the information provided, you can use a rule of three to find the total amount of students at Milton middle school as you know that there are 144 girls and they represent 45% of the students:
144 → 45%
x ← 100%
x=(144*100)/45
x=320
According to this, the answer is that there are 320 students at Milton middle school.
At a wedding there were 40 people from gromms side and 56 people from bride's family at the wedding
find the ratio of the groom's family to the bride's family at the wedding
Answer:
5 : 7
Step-by-step explanation:
groom's side: 40
bride's side: 56
ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7
Answer: 5 : 7
w write the total area as a product
ing the GCF as one of the factors.
54+42 = (6.9) + (6-7)
6
+7)
The area expression as products is 7 * (8 + 6)
How to rewrite the area expression as productsFrom the question, we have the following parameters that can be used in our computation:
Area = 54 + 42
Express 54 as a product of 7 and 8
So, we have the following representation
Area = 7 * 8 + 42
Express 42 as a product of 7 and 6
So, we have the following representation
Area = 7 * 8 + 7 * 6
Factor out 7
This gives
Area = 7 * (8 + 6)
Hence, the expression using GCF is 7 * (8 + 6)
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Complete the explanation of the error.
If x²=81, then x = 9.
The value of x could also be
The square root of a number can also be negative number so x could also be -9
Taking square root of a numberSquare root of a number is the number such that if it is multiplied by itself we get the square. The opposite of squaring an integer is finding its square root. As we know multiplication of two negative numbers produce a positive number. this is the reason why square of both positive and negative numbers are both positive. therefore, square root of a number can also be positive or neegative both. That is why we can't take square root of negative numbers.
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If $8259 principal is invested in a savings account that pays 5.25% interest compounded continuously how much money will be in the account after 10 years?
A(10) = $
Answer:
A(10) = $13,961.50
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.25/100
r = 0.0525 rate per year,
Then solve the equation for A
The formula is given as:
A = Pe^rt
P = 8259
r = 0.0525
t = 10 years.
Hence,
A = 8,259.00 × e^(0.0525×10)
A = $13,961.50
Therefore, the money that will be in the account after 10 years is $13,961.50
1.) Consider the right triangle below in which a = 5 and b = 5.
A. Use the Phythagorean Theorem to solve for c. SHOW YOUR WORK!
B. What is the value of c rounded to the nearest hundredth?
C. What is the value of c in simplified radical form ?
Answer:
c=7.07
Step-by-step explanation:
c²=a²+b²
c²=5²+5²
c²=25+25
c²=50
c=√50
c=7.07
B. c=7.07 (to nearest hundredth)
C. c=√50= 5√2 in radical form
A) The value of c obtained after solving by Pythagoras' theorem will be 7.07.
B) The value of c rounded to the nearest hundredth will be 7.07.
C) The value of c in the simplified radical form will be 5√2.
What is the Pythagoras theorem?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
It is given that the right triangle below in which a = 5 and b = 5.
Apply Pythagoras' theorem in the given right triangle,
c²=a²+b²
c²=5²+5²
c²=25+25
c²=50
c=√50
c=7.07
c=7.07 (to the nearest hundredth.
The given value in its radical form is obtained by taking the square root,
c=√50
c=√2×5×5
c= 5√2
Thus, the value of c obtained after solving by Pythagoras' Theorem will be 7.07, the value of c rounded to the nearest hundredth will be 7.07 and the value of c in the simplified radical form will be 5√2.
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Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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Lauren says that -3.5 is greater than -3 1/3. Do you agree? Explain.
Answer:
\(-3\frac{1}{2}<-3\frac{1}{3}\)
Step-by-step explanation:
-3.5 means -(3 + \(\frac{1}{2}\))
In other words, -3.5 = \(-3\frac{1}{2}\)
When we draw two numbers \(-3\frac{1}{3}\) and \(-3\frac{1}{2}\) on a number line, \(-3\frac{1}{2}\) comes first from left to right.
We know that all the numbers on a number line from left to right are in increasing order.
Therefore, \(-3\frac{1}{2}\) is smaller than \(-3\frac{1}{3}\).
\(-3\frac{1}{2}<-3\frac{1}{3}\)
Lauren is not correct.
Please show your work! :)))
Answer:
-8 3/4
Step-by-step explanation:
1. Simplify it.
15 - 24 + 1 divided by 4
2. Divide.
15 - 24 + 1/4
3. Add and subtract.
-9 + 1/4
-8 3/4
a worker has asked her supervisor for a letter of recommendation for a new job. she estimates that there is an 85 percent chance that she will get the job if she receives a strong recommendation, a 50 percent chance if she receives a moderately good recommendation, and a 10 percent chance if she receives a weak recommendation. she further estimates that the probabilities that the recommendation will be strong, moderate, and weak are 0.6, 0.3, and 0.1, respectively. a. how certain is she that she will receive the new job offer? b. given that she does receive the offer, how likely should she feel that she received a strong recommendation? (
Disregarding intermediate, let's assume she has access to a letter that can be powerful or weak. Let's say she receives a persuasive letter. If she receives a strong letter, her chance of being hired is then increased.
P(J|S)
If, however, she receives a subpar letter, Considering since she received a subpar cover letter, her chances of landing the job are slim.
P(J|W)
Let's assume that we have some knowledge of such two numbers. I believe
In addition, we recognize how likely it is that she will receive either one or both letters: P(J|S)=0.8 P(J|W)=0.1
Note that P(S)+P(W)=1 since there are only two possibilities: P(S)=0.7 and P(W)=0.3.
P(J)=P(J|S) P(S)+P(J|W) P(W)
This is a representation of two distinct directions that could be taken. In one, we receive a compelling letter and ponder if she'll be hired in light of that compelling letter. As a result of the weak letter from the other, we are unsure if she will be hired. We give the pathway carrying the formal letter a higher weight because there is a substantially larger chance of receiving it compared to a weak letter.
The law of probability value is used in this situation.
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Create an example of a conditional probability and explain it. Why is it a conditional probability and what is the condition?
Suppose we have a bag containing 3 red marbles and 2 blue marbles. We draw a marble out of the bag without looking, record the color, and then put the marble back in the bag. We repeat this process 4 times, drawing one marble at a time.
Let's define the following events:
A: The first marble drawn is red.B: The second marble drawn is blue.The probability of event A occurring is 3/5, or 60%. This is because there are 3 red marbles out of a total of 5 marbles.
The probability of event B occurring is 2/5, or 40%. This is because there are 2 blue marbles out of a total of 5 marbles.
Now, suppose we want to know the probability of event B occurring, given that event A has already occurred.
In other words, we want to know the probability of event B occurring, but we are only considering cases where event A has already happened.
This is a conditional probability, and the condition is that event A has occurred.
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Given ƒ(x) = x + 10, find ƒ(x + 1).
Work Shown:
f(x) = x + 10
f(x+1) = x+1 + 10 .... replace every x with x+1
f(x+1) = x + 11
please help with this ill be posting more questions worth 2o points as well !!!!
tan A= \(\frac{10}{\sqrt{96} }\)
tan A= \(\frac{5\sqrt{6} }{12}\)
use the propertied of exponents to simplify the expression (-36)^0
That is the proporty of the zero exponent.
Every number that has a zero exponent will be equal to 1.
So,
\(\text{ (-36)}^0\text{ = 1}\)quick one pls help!!
Give an example of two angles that are supplementary and adjacent
thx to whoever gives the answer
Answer:
120 and 60 (both add 180)
Step-by-step explanation:
If two supplementary angles are adjacent to each other then they are called linear pair.
Why is “3 meals a day” a unit rate?
It compares 1 meal to 1 day.
It compares 1 meal to 3 days.
It compares 3 meals to 1 day.
It compares 3 meals to 3 days.
Answer:
It compares 3 meals to 1 day
Step-by-step explanation:
"3 meals a day" it is saying that there are 3 meals in a day.
Answer:
It compares 3 meals to 3 days
Step-by-step explanation:
since there is 3 meals every 3 days
5x-25<-15? i am stuck on this
Answer:
x < 2
Step-by-step explanation:
1. Isolate x by adding 25 to both sides: 5x < 10
2. Divide both sides by 5: x < 2
HELP AND YOU CAN GET THE CROWN
Answer:
g(r - 9) = r² - 18r + 89
Step-by-step explanation:
To evaluate g(r - 9), substitute p = r - 9 into g(p) , that is
g(r - 9) = (r - 9)² + 8 ← expand factor using aFOIL
= r² - 18r + 81 + 8
= r² - 18r +89
Please help 13 points and will give branliest :)
Answer:
a. Yes
b. minutes 3 to 6
c. yes, as long as they do not have the same x-value.
A fast food restaurant asks customers to evaluate the drive-thru service as good, average, or poor. Which level of measurement is this classification
The level of measurement used in the classification is ordinal.
Ordinal levels of measurement group variables into categories like nominal scales, but also convey the order of the variables. For example, rate pain on a scale of 1 to 5, or classify income as high, medium, or low.
An ordinal scale is a second-level measure that indicates the ranking and order of data without actually specifying the degree of variation among the data. The order measurement level is his second of the four measurement scales. "Ordinal" means "order".
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Find the gradients of lines A and B.
B
X
The gradient of the line A and B are 4 and 2 respectively.
How to find the gradient of a graph?The gradient of a graph is the slope of the graph. The gradient is the change in the dependent variable with respect to the change in the independent variable.
Gradient is rise over run,
Therefore, let's find the gradient of line A and B.
Hence,
gradient = change in y/ change in x
gradient = y₂ - y₁ / x₂ - x₁
Hence, the gradient of A is as follows:
using (2, -1) and (3, 3)
gradient of A = 3 + 1 / 3 - 2
gradient of A = 4 / 1
gradient of A = 4
Let's find gradient of B
Hence,
using (0, 1) and (1, 3)
gradient of B = 3 - 1 / 1 - 0
gradient of B = 2 / 1
gradient of B = 2
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During a sale, a store offered a 10% discount on a tablet computer that originally sold for $670. After the sale, the discounted price of the tablet computer was marked up by 10%. What was the price of the tablet computer after the markup? Round to the nearest cent.
The price of the tablet computer after discount and marked up is $663.3.
What is discount?
Discount is the state of having a bond's price lower than its face value. The difference between the purchase price and the item's par value is the discount.
Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods. The % discount rate is provided.
Here the original price of tablet computer = $670
During a sale , store offered 10% discount then
=> Price of tablet computer = 670× ( 100%-10%) = 670 × 90%
Now after the sale the price of the tablet computer marked up 10%. Then,
=> Price of tablet computer = 670 × 90% × (100%+10%)
=> Price of tablet computer = 670 × 90% × 110%
=> Price of tablet computer = 670 × \(\frac{90}{100} \times \frac{110}{100}\)
=> Price of tablet computer = 670 × 0.9 × 1.1 = $663.3
Hence the price of the tablet computer after discount and marked up is $663.3.
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together tomas and ana weigh 145 kilograms. ana and rodrigo together weigh the same as tomas. rodrigo weighs 39 kilograms. how many kilograms does tomas weigh?
Tomas and Ana weigh 145 kilograms combined. Together, Ana and Rodrigo weigh the same as Tomas. Rodrigo is 39 kilograms in weight. Tomas is 92 kilograms in weight.
A mathematical statement with two equated algebraic expressions is known as an algebraic equation. Due to the presence of polynomials on both sides of the equal sign, an algebraic equation is also referred to as a polynomial equation.
A linear algebraic equation has a polynomial of degree 1 in it. A linear equation's most common form is a1x1+a2x2+...+anxn = 0, where at least one coefficient is a number that is not zero. Linear programming problems can be represented and solved with these linear equations.
Let X and Y represent Anna's weight and Tomas's.
Now,
\(X+Y=145 ............equation 1\\Y+39=X ..............equation2\)
We obtain this by transferring the value of X from equation 2 to equation 1,
\(Y+39+Y=145\\2Y+39=145\\2Y=145-39\\2Y=106\\Y=\frac{106}{2}\\ Y=53\)
Now that we have entered the value of Y into equation 2, we get:
\(53+39=92\)
Therefore, Tomas weighs 92 kilograms.
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rewrite 20(1/5u-3/4) without parentheses
Answer:
4u-15 is your answer
Step-by-step explanation:
20(1/5u-3/4)
20/5u-60/4
4u-15
Lets solve:
⇒20(1/5u-3/4)
Divide by 20 on each side
⇒20/5u-60/4
Solve the problems
---------------------------------------
⇒4u-15
Final answer: 4u-15
hope this helps :)
HELPPPPP PLZ I WILL MARK U AS A BRAINLIEST
Answer:
a. (5x - 2)° + (2x - 2)° + x° = 180°
b. m<113°,
m<K = 44°,
m<L = 23°
Step-by-step explanation:
Given:
m<J = (5x - 2)°
m<K = (2x - 2)°
m<L = x°
Required:
a. the equation to find x,
b. m<J, m<K, and m<L
Solution:
a. m<J + m<K + m<L = 180° (sum of triangle)
Substitute
(5x - 2)° + (2x - 2)° + x° = 180°
Solve for x
5x - 2 + 2x - 2 + x = 180
Add like terms
8x - 4 = 180
8x - 4 + 4 = 180 + 4
8x = 184
8x/8 = 184/8
x = 23°
b. ✔️m<J = (5x - 2)°
Plug in the value of x
m<J = 5(23) - 2 = 113°
✔️m<K = (2x - 2)° = 2(23) - 2
m<K = 44°
✔️m<L = x = 23°
100 POINTS + BRAINLEIST IF CORRECT!
\(\huge\boxed{\sf 16}\\\\ \sf The\ two\ right\ triangles\ are\ a\ reflection\ of\ each\ other.\\ Both\ sides\ are\ equal\ in\ size. \\\\ 5x+1=4x+4\\5x-4x=4-1\\1x=3\\\\ Plug\ the\ value\ of\ x\ back\ into\ any\ of\ the\ two\ equations.\\\\ 5(3)+1 =15+1=16\)
Put these numbers in order from least to greatest.
9.9, 9.5, and 9 4/5