Answer:
1.14
Step-by-step explanation:
0.8+0.34
The solution of the given expression will be 1.14.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is 8 tenths + 34 hundredths. The solution of the expression is,
E = 8/10 + 34 / 100
Solve the expression by the mathematical operation.
E = 0.8 + 0.34
E = 1.14
Therefore, the solution of the given expression will be 1.14.
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Anand thinks the square weighs pounds.
Darius thinks the square weighs pounds.
Who is correct?
Anand is correct.
The square weighs 5 pounds.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
Anand thinks the square weighs 5 pounds.
Darius thinks the square weighs 2 pounds.
And square weighs 5 pounds.
That means Anand's assumption is correct.
Therefore, Anand's assumption is correct.
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The complete question:
Anand thinks the square weighs 5 pounds.
Darius thinks the square weighs 2 pounds.
And square weighs 5 pounds.
Given that lines a and b are parallel:
If m48 = (-x + 13), and
= +
m42 = (9x - 27),
Answer:
\(x= 9m+69 ,m 48 =− 9m + 316\)
Week
2
3
A
5
6
7
8
Job Sat Score
3.40
3.60
3.70
3.80
3.90
4.20
4.00
4.10
Absence Rate
0.05
0.04
0.06
0.03
0.04
0.03
0.04
0.05
Quality Score
0.88
0.89
0.90
0.92
0.83
0.91
0.92
0.83
Output Score
8
10
9
10
8
10
9
9
Weekly Goals: Job Satisfaction Score > 4.50, Absence Rate ≤ 0.03, Quality Score > 0.95, Output Score > 9
Over the last four weeks, how is the team doing compared to the quality goal?
The team has failed to meet his quality goal of achieving a quality score above 0.95 in the last four weeks.
The table shows the weekly goals and their respective scores:
Weekly Goals:
Job Satisfaction Score > 4.50, Absence Rate ≤ 0.03, Quality Score > 0.95, Output Score > 9Week Job Sat Score
To compare the quality score for the past four weeks, we have:
Quality Score in Week 2 = 0.88
Quality Score in Week 3 = 0.89
Quality Score in Week 5 = 0.92
Quality Score in Week 6 = 0.83
Quality Score in Week 7 = 0.91
Quality Score in Week 8 = 0.92
Quality Score in Week 9 = 0.83
Since, the goal was Quality Score > 0.95,
To see how your team is doing against your quality goals over the last four weeks, you need to compare your quality score each week to your goal of 0.95. The Quality Scores for the past 4 weeks are:
Week 23: 0.88
Week A: 0.89
Week 56: 0.90
Week 78: 0.92
We are counting quality scores each week with a goal of 0.95. increase. , you can see that none of the quality values meet or exceed the target.
As a result, the team has failed to meet his quality goal of achieving a quality score above 0.95 in the last four weeks.
It can be observed that the team was not able to achieve the quality goal in any of the weeks (Week 2 to Week 9).
Therefore, it can be concluded that the team was not able to achieve the quality goal in the past four weeks.
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Aniela took 10 pages
of notes over the span of 4
classes. If Aniela worked at a
constant rate, how many notes
did she take in one class?
Answer: Aniela took 2.5 pages of notes per class
Step-by-step explanation: If you take the total amount of pages of notes taken and divide it by the number of classes you get the rate of pages of notes per class. So 10 pages/4 classes = 2.5 pages/class
1. Find the measure of the angle indicated 88°
Answer:
C: 52 degrees
Step-by-step explanation:
pls I need help in this exercise
Therefore ,a s a result, the answer to the given equation problem is that a carpet costs $2072.
Describe equation.When all of the highest powers of the variables are equal to one, an equation is said to be linear. The parts are linked together. Another name for this kind of problem is a one-degree equation. The following paragraphs will teach you how to solve a linear equation in one or two variables using the usual form, formula, graph, and directions.
Here,
Given :
50a + 12h is the floor area of a square foot.
where h is the amount of hours.
Thus.
When t=6 and a=40
So ,
the price of carpeting
=> Price = 50a plus 12h
=> Cost = 50*40 + 12*6
=> Cost = 2000 + 72
=> Cost = 2072
As a result, the answer to the given equation's problem is that a carpet costs $2072.
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Solve for x.
x+23=−22
Enter your answer in the box.
{x|x + 1 ≥ 3 and x − 6 ≤ −1}
Write the solution using interval notation
Find the slope of identity function using points (0,0) and ( 3,3) then from two points (0,0) and (-3,-3). Is there any change in its slope?
There is no change in its slope as initial and final slope is 1.
What is slope?
In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.
Main body:
formula for slope with two points form is =
y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)
according to question ,
points are (0,0) and (3,3)
y - 0 = (3-0/3-0)(x -0)
y = 3/3 *x
y = x
hence slope of line is 1.
Now points are (0,0) and (-3,-3).
y - 0 = (-3-0/-3-0)(x -0)
y =- 3/-3 *x
y = x
hence slope of line is 1.
So there is no change in its slope.
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A 72 foot pipe is cut into three sections. The longest section is five times as long as the shortest, and the middle-sized section is 9 feet longer than the shortest. Complete the diagram by giving a and b as expressions involving x. Do not solve the problem.
Answer:
Step-by-step explanation:
Let x be the length of the shortest section of the pipe.
Then, according to the problem:
The longest section is 5 times as long as the shortest, so its length is 5x.
The middle-sized section is 9 feet longer than the shortest, so its length is x + 9.
The sum of the lengths of the three sections must equal the length of the original 72-foot pipe:
x + 5x + (x + 9) = 72
Simplifying the left-hand side, we get:
7x + 9 = 72
Subtracting 9 from both sides, we get:
7x = 63
Dividing by 7, we get:
x = 9
Therefore:
The length of the shortest section is x = 9 feet.
The length of the longest section is 5x = 45 feet.
The length of the middle-sized section is x + 9 = 18 feet.
To complete the diagram, we can label the sections as follows:
Shortest section: |---a---|
Middle-sized section: |-----b-----|
Longest section: |----------5a----------|
where a = 9 and b = a + 9. Therefore:
a = 9 feet
b = a + 9 = 18 feet
in a group of 700 people, must there be 2 who have matching first and last initials? why? (assume each person has a first and last name, and the initials are from the 26 letters of the roman alphabet.) to answer this question, let a be the set of the 700 distinct people and let b be the set consisting of all possible combinations of first and last initials. then b has elements. so, if a function is constructed from a to b that relates each of the 700 people to their initials, then by the ---select--- principle, the function is ---select--- . therefore, in a group of 700 people, it is ---select--- that no two people have matching first and last initials. so the answer to the question is ---select--- .
In a group of 700 people it is impossible that no two people have same first and last initials.
As per the question each person has a first and the last name.
And the initials are from the 26 letters of the roman alphabet.
In a group of 700 people, must there be 2 who have matching first and last initials.
As the initials are from 26 roman letters thus the total possible unique combinations are as follows:
Let the Number of letters be x.
\(x^{2} =26^{2} =626\).
As set consisting of all possible combinations of first and last initials have 626 elements.
So 626<700 thus by pigeon hole principle the function is not one-to-one and it is impossible that no two people have same first and last initials.
Therefore in a group of 700 people it is impossible that no two people have same first and last initials.
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The width of the pond shown is x ft. What is the value of x.
Answer:
Width (x) = 160ft
See explanation below
Step-by-step explanation:
The information given is incomplete as we are not told if the shape of the pond. This is about determining the surface area of a water body.
Looking at the question, we can tell we are to find the width of a pond whose shape wasn't given.
Assuming the shape of the pond is either a rectangular or square pond, let's consider the following question:
The acreage of a rectangular pond is 1.54 acres and the length is 420ft. The width of the pond shown is x ft. What is the value of x.
Find attached the diagram used for solving the question.
Formula for calculating the acreage of
a Square or Rectangular Ponds is multiplying average length (in feet) times average width (in feet) and dividing the result by 43,560 to derive our answer in acres.
That is: Average Length (ft) × Average Width (ft) ÷ 43,560 = Acres
Since we have been given acreage and length, we would make width subject of formula.
Width = (Acreage × 43500)/length
Width (x) = (1.54 × 43,560)/420
=67082.4 ÷ 420 = 159.72
Width (x) = 160ft (nearest feet)
Question Which is closest to the surface area of the figure below? 1463.8 m squared 578.1 m squared 923.2 m squared 3692.6 m2
The closest option to the cone area is 923.2 m².
What is a cone?A cone is a shape formed from a series of line segments or lines that connect a common point, called a vertex or vertex, to all points on the base of a circle that do not contain vertices. The distance from the apex of the cone to the base is called the height of the cone.
To solve this problem, we need to find the surface of the cone. Formula for the surface area of cone:
A = \(\pi\)r² + \(\pi\)rℓ
where r is the radius of the base, ℓ is the height of the depression, and π is a constant of approximately 3.14159.
First, we find the radius of the base. Since the bottom line of the cone is listed as 18 feet and we know the radius is 14 feet, we can use the Pythagorean theorem to find the height of the cone.
h² = ℓ² - r²
h² = 19.3² - 14²
h ≈ 11.48 feet
Now we can compute the surface.
A = \(\pi\)(14)² + \(\pi\)(14)(19.3)
A ≈ 923.2 square feet
So the closest option to the cone area is 923.2 m².
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Coefficient of the variable 9x-36
Answer:
165
Step-by-step explanation:
Find the balance in the account after the given period.
$4000 principal earning 7% compounded annually, 8 years
The balance in the account after the given period is \(\$6,872.74\)
we know that
The compound interest formula is equal to
\(\text{A}=\text{P}(1+\frac{\text{r}}{\text{n}})^{\text{nt}}\)
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
\(\text{t}= 8 \ \text{years}\)
\(\text{P}=\$4,000\)
\(\text{r}=0.07\)
\(\text{n}=1\)
substitute in the formula above
\(\text{A}=\$4,000(1+\frac{0.07}{1})^{1\times8}=\$6,872.74\)
Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.45 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.
can someone explain how to find the answer to x
Answer:
130
Step-by-step explanation:
X is the alternate corresponding angle to 50. 50+y=180
y=130
x and y = the same thing so 130 is the value of x
what is 32,020.20 rounded to the nearest tenths
Answer:
32,020
Explanatiojn:
Show your work and explain how you can determine which is a better deal:
10 ounces of orange juice for $2.40 or 8 ounces for $2.08?
Answer: 10 ounces for $2.40
Step-by-step explanation: The trick behind these problems, always divide. 2.40/10ounces is $0.24. 2.08/8ounces is $0.26. Better deal, therefore smaller answer of the 2, because it's cheaper.
What is the least to the greatest for 1/4, -4, square root of 8, - 9/4, 4.7
Answer:
-4, -9/4, 1/4, 4.7, 8
Step-by-step explanation:
negatives are less than positives
Which fraction,11\10 OR 7/8 is greater than 1
Answer:
11/10
Step-by-step explanation:
To have a fraction greater than 1, you have to have a numerator (The top one in the fraction) greater than a denominator (the bottom one in the fraction). 7 is less than 8 and 11 is greater than 10 so that means that 11/10 is greater than 1.
A circle is shown on the coordinate plane. The graph shows a circle with the origin point A at (3, 2), and a point B on its circumference at (5, 4) and intersects the x-axis at 1 and 5 units. What is the standard form of the equation for the circle? A. B. C. D.
The standard form of the equation for the circle is\((x - 4)^2 + (y - 3)^2 = 2.\)
To find the standard form of the equation for the circle, we need to determine the center and radius of the circle using the given information.
The center of the circle can be found by taking the average of the x-coordinates and the y-coordinates of points A and B.
Center:
x-coordinate = (3 + 5) / 2 = 4
y-coordinate = (2 + 4) / 2 = 3
The center of the circle is (4, 3).
Next, we need to find the radius of the circle.
The radius is the distance between the center of the circle and any point on its circumference.
In this case, we can use the distance formula between the center (4, 3) and point B (5, 4).
Radius:
\(r = \sqrt{((5 - 4)^2 + (4 - 3)^2)}\)
= \(\sqrt{(1 + 1)}\)
\(=\sqrt{(2)}\)
The radius of the circle is \(\sqrt{(2).}\)
Now we can write the standard form of the equation for the circle, which is:
\((x - h)^2 + (y - k)^2 = r^2\)
Plugging in the values we found:
\((x - 4)^2 + (y - 3)^2 = 2\)
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Elmo likes music. He wondered if listening to music while studying will improve scores on an exam. Fifty students who were to take the midterm in a week agreed to be part of a study. Half were randomly assigned to listen to classical music while studying for the exam. The other half were told not to listen to any music while studying for the exam. A hypothesis test is to be performed to determine if the average score of those listening to music while studying for the exam was higher than for those who did not listen to any music while studying for the exam. Let X be the midterm scores of those who listened to classical music while studying, and Y be the midterm scores of those who did not listen to any music while studying. Which of the following is the correct alternative hypothesis?
A. The average midterm score for those who listen to classical music while studying is higher than the average midterm score for those who don't listen to music while studying.
B. The midterm scores of those who listen to classical music while studying are the same as midterm scores of those who don't listen to music while studying.
C. There is a difference in the mean midterm scores between those who listen to classical music while studying and those who don't listen to music while studying
D. There is no difference in the mean midterm scores between those who listen to classical music while studying and those who don't listen to music while studying
Answer: A. The average midterm score for those who listen to classical music while studying is higher than the average midterm score for those who don't listen to music while studying.
Step-by-step explanation:
An Alternative Hypothesis is one that disproves the Null Hypothesis in that it believes that indeed there is a change in the dependent variable due to a change in the independent variable.
The Alternative Hypothesis essentially aims to prove the assertion of the Researcher that there is an effect as a result of the introduction of a variable.
Null Hypothesis on the other hand believes that no significant difference exists between a change in a dependant Variable as a result of a change in an independent one.
The correct answer above therefore is that indeed music while studying inspires people to do better in exams than those who do not listen to music while studying. This is the alternative hypothesis because it believes that there was a change in the exam results due to reading while studying.
if you invest $550.00 and your annual interest is 4%, what will be the interest
The annual interest is $22.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
Given;
Amount invested= $550
Annual interest= 4%
SI= 550*4*1/100
=5.5*4
=22
Therefore, the simple interest will be $22.
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Guided Practice Type your answer and then click or tap Done. Evaluate -x2 - 4x-4 for x= -3. I VO ]
Answer:
\(P(x) = x^{2} -4x -4\\\\P(x=-3) = (-3)^2 - (4*-3) -4\\\\P(x=-3) = 9 + 12 -4 =17\)
Find mZ1. Then classify the triangle by its angles.
1
30°
40°
m/1 =
Christine ran a video game competition and recorded the scores of all the contestants. Score Number of people 426 4 572 1 859 2 900 1 1 951 2 X is the score that a randomly chosen person scored. What is the expected value of X? Write your answer as a decimal.
The expected value is defined by
\(E=\Sigma x\cdot P(x)\)We have to multiply each score by its probability
\(\begin{gathered} E=426\cdot\frac{4}{10}+572\cdot\frac{1}{10}+859\cdot\frac{2}{10}+900\cdot\frac{1}{10}+951\cdot\frac{2}{10} \\ E=170.4+57.2+171.8+90+190.2 \\ E=679.6 \end{gathered}\)Hence, the expected value is 679.6.5. Match the steps for constructing a congruent line segment to their pictures.
▼
▼
1. Step 2: Draw a second line
segment that is longer than the
first.
2. Step 4: That intersection is the
final endpoint of the copied
segment.
3. Step 1: Put the point of the
compass on one endpoint of the
segment to be copied. Change the
compass setting so that the
pencil end is just touching the
other endpoint, make a small arc
to see this.
4. Step 3: Without changing the
compass setting, put the
compass point on the new
endpoint on a new line. Make a
small arc that intersects the line.
We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:
Step 1 - Picture a
Step 2 - Picture b
Step 3 - Picture c
Step 4 - Picture c.
What is a line segment?Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.
The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.
A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.
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Answer:
Step-by-step explanation:
The two functions shown below do not intersect in the doman shown in the table. If both functions exist in the domain of all real numbers, what is hte linear function that can be written of f(x)
The linear function in the graph is y = -x + 2
How to determine the graphed functionFrom the question, we have the following parameters that can be used in our computation:
The graph (see attachment)
On the graph, we can see that the first curve is a quadratic function,
Also, it has an open circle at x = 1
So, we have:
x² + 2 if x < 1
Next, we have a linear equation with a closed circle at x = 1
So we have:
y = -x + 2 for x ≥ 1
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Harry's amount of money is 75% of Kayla's amount of money
Answer:
Add vaslues
Step-by-step explanation:
How much money does kayla have?