If the value of b is 8. Then the value of the expression (9 - b) will be 1.
What is simplification?Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ 9 - b
If the value of b is 8. Then the value of the expression will be
⇒ 9 - b
⇒ 9 - 8
⇒ 1
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Phoebe rounded a number to the nearest tenth and got 6.5. When she rounded it to the nearest whole number, she got 7. Which number could be the number she rounded?
Answer:
6.7
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The dot plot shows the weight (in pounds) of several dogs have an animal shelter. Find interpret the number of data values. Use clusters, peaks, or gaps to answer that statistical question, “what is the weight of a typical dog at the animal shelter ?”
From the dot plot in this problem, we have that there are 12 dogs in the shelter, with a typical weight of 50 pounds, which is the median of the data-set.
How to obtain the median of a data-set?The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.
The dot plot shows how many times each weight was observed, hence the number of dogs in the shelter is given as follows:
12.
The median is the mean of the 6th and 7th elements, in an increasing way, which are both 50, hence it is aso of 50 pounds, representing the typical weight of a dog.
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in a large metropolitan area, past records revealed that 30 percent of all the high school graduates go to college. from 10 graduates selected at random, what is the expected number of graduates will not go to college?
Step 1
Given;
\(\begin{gathered} p=Pr\text{ success trial=}\frac{30}{100}=0.3 \\ q=Pr\text{ no success trial=1-q=1-0.3=0.7} \\ x=10 \end{gathered}\)Step 2
State the expected value formula
\(Expected\text{ number=xq=0.7}\times10=7\)Answer;
\(7\)Please awnser asap I will brainlist
They can buy 120 vans, 60 small trucks, and 80 large trucks.
How to find the number of van, small trucks and large truck needed?The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck
Therefore,
let
s = number of small truck
number of van = v
let
l = number of large truck
v + s + l = 260
25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000
v + 2s + 2l = 400
Hence,
v = 2s
So,
2s + 2s + 2l = 400
4s + 2l = 400
2s + s + l = 260
3s + l = 260
2s + l = 200
s = 60
l = 200 - 2(60)
l = 200 - 120
l = 80
v = 2(600 = 120
Therefore, they can buy the following:
number of small truck = 60
number of van = 120
number of large truck = 80
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Which equations are equivalent to the given equation?
2 – 5 = 11.2
..
5=11.2-x
X=11.2+5
X=11.2-5
x-11.2=5
Rectangle JKLM is shown. To the nearest tenth of a centimeter, what is the distance from J to M?
Answer:
10.2
Step-by-step explanation:
Answer:10.2
Step-by-step explanation:
Which of the following are factor pairs for 72? You will select two. *
1 point
2 x 36
3 x 18
6 x 12
8 x 8
Answer:
See below.
Step-by-step explanation:
2 x 36 = 72
3 x 18 = 54
6 x 12 = 72
8 x 8 = 64
A and C are the answers.
-hope it helps
Please Give Me The Answer
The area covered by the signal is 181.37 m²
What is the area covered by the signal?Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m
The area of a circle of radius R is given by:
A = 3.14*R²
Then the area of a fourth of a circle is:
A = (3.14/4)*R²
Replacing the value of the radius in the formula we will get:
A = (3.14/4)*(15.2m)² = 181.37 m²
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Simplify: 7/6 x −3/28 Also, find the reciprocal of the answer.
Answer:
Simplify = 7x/6 - 3/28
Reciprocal = 6x/7 - 28/3
Step-by-step explanation:
Add x to the top of the first fraction to combine them.
To find the reciprocal you flip the numbers. So the numerator is the bottom and the dominator is the top.
Math Homework: Unit 3 Assignment
Sierra says that she can simplify the left side of the inequality shown by combining the terms within the parentheses but that she can't do the same thing on the right side. Is Sierra correct? Explain.
4(-4 + 9) + 1 ≥ -2(y + 7) - 8
Answer: Yes, Sierra is correct.
Step-By-Step Explanation:
The parenthesis on the left side is (-4+9). This can be combined because both terms are two constants. Constants are any terms in a algebraic equation or inequality whose value does not changed and is pre-defined. In this parenthesis, the answer would be 5.
The parenthesis on the right side contains one constant (7) and one variable (y). Since you can only combine like terms, y and 7 cannot be combined. Therefore, you cannot combine the right-side parenthesis.
So, Sierra is correct
Write 1 1/6 as an improper fraction
Step-by-step explanation:
Improper fractions have a numerator that is larger than the denominator
1 = 6/6
so 1 1/6 = 7/6
!!!!! Due today !!!!!!!
Answers:
5)
a.Highest- 96
Lowest-52
b.74
c. 70-80
d. 13
e. 7
6)
a. 89%
b. 51%
c. In the morning(89%)
Solve the following quadratic by factoring.
x² – 3x – 4=0
List the answers separated by a comma. For example, if you found solutions x = 1 and x = 2, you would enter 1, 2.
Answer:
4, -1
Step-by-step explanation:
We can reverse the FOIL (First, outside, inside, last) method to break down the equation. The question is asking to solve by factoring so you want to find the right combination of numbers this equation can be broken down into:
x^2 - 3x - 4 = 0
Because we want x squared, x needs to be multiplied by itself, so we can put x in the first slot for each.
(x + or - ?) ( x + or - ?) = 0
Then we need to find numbers that could be added to get -3 and multiplied to get -4. The only set of numbers that works for this is -4 and 1. Note that the sign you put in front of each number has an impact on your answers. With this we get:
(x - 4) (x + 1) = 0
To test that this is equal to the original equation, simply multiply it out using FOIL.
x * x = x^2
x * 1 = x
x * -4 = -4x
-4 * 1 = -4
Putting each component into an equation:
x^2 + x - 4x - 4 = 0
Simplifying:
x^2 - 3x - 4 = 0
Once we are sure it is still the same equation, we find the solutions. We know 0 multiplied by anything equals 0, so to get 0 as the answer, one of the sets in the parentheses must equal 0. (It doesn't matter what the other one is as long is one equals 0)
Therefore, we have 2 solutions, 4, and -1 because if x is 4, 4-4 is 0 which solves the equation, and if x is -1, then -1 + 1 is 0 which also solves the equation.
You can also check your answers by plugging them back into the original equation.
Ximena needs to order some new supplies for the restaurant where she works. The restaurant needs at least 333 spoons. There are currently 255 spoons. If each set on sale contains 6 spoons, which inequality can be used to determine
s
s, the minimum number of sets of spoons Ximena should buy?
In linear equation, Joshua should buy is 255 + 6s ≥ 333.
What is linear equation in math?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.Let the sets of spoons be represented by s
The restaurant needs at least 333 spoons.
Each set on sale contains 8 spoons
There are currently 333 spoons.
At least as an inequality is ≥
Hence:
255 + 6 × s ≥ 333
255 + 6s ≥ 333
Therefore, inequality tha can be used to determine s the minimum number of sets of spoons Joshua should buy is
255 + 6s ≥ 333
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School starts in 45 minutes and you live 13 miles from school. What average speed (in miles per hour) would allow you to arrive at school on tim
Answer:
8.2 minutes
So 13 miles would take you roug.hly 8.2 minutes... so going the average speed limit would get you there very
Step-by-step explanation:
What is the mean of this data?
12, 9, 4, 10, 15
Enter your answer in the box.
Step-by-step explanation:
the mean is always the sum of all data divided by the number of data points.
we have 5 data points.
their sum is
12 + 9 + 4 + 10 + 15 = 50
the mean is
50/5 = 10
Which inequality is equivalent to 2/3 X-5 < 11
Answer:
2/3 x - 5 < 11
2/3 x < 16 (add 5 to both sides)
x < 16 * 3/2 (multiply both sides by 3/2)
x < 24
Step-by-step explanation:
Write the full name for each of the polyhedra below.
The left is a pentagonal prism while the figure by the right is a square prism.
What is a prism?The term prism refers to a solid shape that is composed of sides that are similar. There are several types of prisms and the prisms are classified according to the number of sides that are in the base of the figure.
Now we have two types of prism and we want to find out the types of prisms that they are. Looking at the figures we can see that the figure by the left is a pentagonal prism while the figure by the right is a square prism.
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Which percent is equivalent to 2 5/6?
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
The temperature of a cup of coffee changed by -54 Fahrenheit over 22 and 1/2 minutes. What was the change in temperature each minute?
Answer:
-2 2/5 F per minuteStep-by-step explanation:
Temperature change:
- 54 F over 22 1/2 minChange in 1 minute:
-54 / 22 1/2 = -54 / (45/2) =-54*2 / 45 =-108 / 45 =-2 18 / 45 =-2 2/5 F/minGiven the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
The depth of a local lake averages 38 ft, which is represented as |−38|. In February, it measured 6 ft deep, or |−6|, and in July, it was 25 ft deep, or |−25|. What is the difference between the depths in February and July?
A32 feet
B 31 feet
C 19 feet
D 13 feet
The difference between the depths in February and July is 31 feet.
How to measure depth?The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:
Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.
Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.
Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.
Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.
Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.
Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.
The difference between the depths in February and July is:
|−6| − |−25| = 6 − (−25) = 6 + 25 = 31
Therefore, the correct choice is B) 31 feet.
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What is the contrapositive of the statement below?
х =y
O A. X=-
B. y = -x
С. y = X
D. -* -
Answer:
B. -y = -x
Step-by-step explanation:
When the values on both sides of the equal sign are changed, it becomes a negative number.
The contrapositive of the statement "x ⇒ y" is "-y ⇒ -x".
The correct option is B.
What is a contrapositive statement?A conditional statement's contrapositive has the same truth value as the original assertion. This is a useful idea in logic and mathematics since it allows us to verify an argument's validity by demonstrating the contrapositive.
In other words, if we take the original implication "x ⇒ y" and negate both the hypothesis (x) and the conclusion (y), we get the contrapositive statement "not y ⇒ not x".
Note that the contrapositive statement is logically equivalent to the original statement "x ⇒ y".
In other words, both statements have the same truth value.
"not y ⇒ not x" can be rearranged as "-y ⇒ -x".
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2(-6(4)+29)-4(4)=-6 whats the answer plz hurry brainliest answer
Answer:
the answer is 1. have a nice day!!!
Is x2+8x+16 a perfect square?
Answer:
yes, it's factors are (x+4)²
Step-by-step explanation:
Answer:
It is a perfect square.
Step-by-step explanation:
Write a quadratic function to model the vertical motion for each situation, given h(t) equals negative 16t squared plus v0t+h0. Find the maximum height. Initial velocity 152
The maximum height reached by the ball is 908.5 feet.
Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:
\(h(t) = -16t^2 + 152t + 6\)
This quadratic function models the height of the ball at any time t after it is thrown.
To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:
t = -b / 2a
where a = -16 and b = 152 are the coefficients of the quadratic function.
t = -152 / 2(-16) = 4.75
So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:
\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet
Therefore, the maximum height reached by the ball is 908.5 feet.
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Question
A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0
Which of the following is equivalent to the expression below?
Answer:
A is true
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
\(\textbf {Allow me to assist you.}\)
\(\textrm {Let's simplify the terms under the radicals.}\)
\(\mathsf {\sqrt{8} - \sqrt{72} + \sqrt{50}}\)
\(\mathsf {\sqrt{2 \times 2^{2}} - \sqrt{2 \times 6^{2}} + \sqrt{2 \times 5^{2}}}\)
\(\mathsf {2\sqrt{2} - 6\sqrt{2} + 5\sqrt{2}}\)
\(\boxed {\sqrt{2}}\)
\(\textbf {The answer is A.}\)
What is the value of x?
-5x = 60
Answer:
x = -12
Step-by-step explanation:
⇒ -5x = 60
Isolate the variable "x" by dividing by -5 on each side.
⇒ -5x/-5 = 60/-5
⇒ x = -12
The solution is x = -12
\(\boxed{ \sf \bold{x = -12}}\)
Explanation:
\(\dashrightarrow \ \ \sf -5x = 60\)
divide both sides by -5
\(\dashrightarrow \ \ \sf \dfrac{-5x}{-5} = \dfrac{60}{-5}\)
simplify
\(\dashrightarrow \ \ \sf x = -12\)
how much is 78ml when you turn it to litres
Answer:
0.078 liters
Step-by-step explanation:
78ml=78/1000L
78ml=0.078ml