Which graph represents the inequality 0.5 is greater than the product of −2.5 and a number?
number line with open circle on point 0.2 and arrow shaded to the left
number line with open circle on point negative 5 and arrow shaded to the left
number line with open circle on point negative 0.2 and arrow shaded to the right
number line with open circle on point negative 5 and arrow shaded to the right
Answers
The correct graph representation of the given inequality is,
⇒ Number line with open circle on point negative 0.2 and arrow shaded to the right.
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
The written expression is given as,
0.5 is greater than the product of −2.5 and a number.
Let a number is x.
Then, The given expression is written as;
0.5 > -2.5x
Now, We can solve as;
0.5 > -2.5x
Multiply by -1 we get;
- 0.5 < 2.5x
-0.2 < x
Hence, The graph of inequality is;
⇒ Number line with Open circle on point negative 0.2 and arrow shaded to the right.
So, The correct graph representation of the given inequality is,
⇒ Number line with open circle on point negative 0.2 and arrow shaded to the right.
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Answer:
A
Step-by-step explanation:
Related Questions
The vertices of a rectangle are A(− 4, 2), B(3, 2), C(3, − 5), and D(− 4, − 5). If the rectangle is dilated by a scale factor of 3, what will be the coordinates of vertex C′?
Answers
By using a dilation around the origin, the coordinates of vertex C' are C'(x, y) = (9, - 15).
What are the coordinates of a vertex of a rectangle?
In this problem we find the four vertices of a rectangle and a scale factor and we are asked to determine the coordinates of the image of one of its vertices by using a dilation. Under the assumption of dilation about the origin, then the transformation rule is defined below:
C'(x, y) = 3 · C(x, y)
Where:
C(x, y) - Coordinates of the original point.C'(x, y) - Coordinates of the resulting point.If we know that C(x, y) = (3, - 5), then the coordinates of vertex C' are:
C'(x, y) = 3 · (3, - 5)
C'(x, y) = (9, - 15)
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In the 2017 LPGA season, golfer Lexi Thompson had a driving accuracy of 68%. That is, her drives landed in the fairway on 68% of her tee shots. However, in the U. S. Open tournament, she hit the fairway on only 34 of her 56 attempts. Does this PERFORMANCE provide convincing evidence that Thompson's ABILITY to hit the fairway decreased in this tournament? The video below works this problem out. (a) Assuming that Thompson's Ability to hit the fairway during the season was 68%, state the appropriate null and alternative hypotheses. (b) Explain what it means if the null hypothesis is true. (c) Describe the evidence for the alternative hypothesis. (d) Provide two explanations for this evidence.
Answers
Using the z-distribution, it is found that:
a) The null hypothesis is [tex]H_0: p \geq 0.68[/tex] and the alternative hypothesis is [tex]H_1: p < 0.68[/tex].
b) A true null hypothesis would mean that there is not enough evidence that her ability has decreased.
c) There is not enough evidence for the alternative hypothesis.
d) This is because the test statistic is less than the critical value, and the p-value is greater than 0.05.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence that her ability has decreased, that is, the proportion is still of at least 68%, hence:
[tex]H_0: p \geq 0.68[/tex]
At the alternative hypothesis, it is tested if there is enough evidence that her ability has decreased, that is, the proportion is less than 68%, hence:
[tex]H_1: p < 0.68[/tex]
Hence:
A true null hypothesis would mean that there is not enough evidence that her ability has decreased.
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.For this problem, considering the situation described, the parameters are given as follows:
[tex]p = 0.68, n = 56, \overline{p} = \frac{34}{56} = 0.6071[/tex]
Hence the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.6071 - 0.68}{\sqrt{\frac{0.68(0.32)}{56}}}[/tex]
z = -1.17.
What is the critical value and what it the conclusion?Considering a left-tailed test, as we are testing if the proportion is less than a value, the critical value is given by:
z* = -1.645.
The test statistic is less than the critical value, meaning that the p-value is greater than the standard significance level of 0.05 and there is not enough evidence for the alternative hypothesis.
Hence:
c) There is not enough evidence for the alternative hypothesis.
d) This is because the test statistic is less than the critical value, and the p-value is greater than 0.05.
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A 39.2 g sample of copper took
up the 4.4 cm3 of space.
What is the density of the
copper piece in g/cm3?
[?] g/cm³
Record your answer to the tenths place.
Density (g/cm³)
Answers
The density of the copper piece is 17. 82g/cm³
How to determine the density
The formula for determining density is expressed as;
D = m/ v
Density is denoted with rho 'ρ'
Where;
m is the mass of the object = 39.2 g v is the volume occupied by the object = 4.4 cm³Substitute the values into the formula
Density, ρ = 39. 2/ 4. 4
Divide through
Density, ρ = 17. 82 g/cm³
The density of the copper piece is 17. 82g/cm³
Thus, the density of the copper piece is 17. 82g/cm³
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8.
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
Answers
The measure of the central angle m∠UQR is 130 degrees.
How to find central angles?Central angle is the angle formed by two arms and having the vertex at the centre of a circle.
The diameter of a circle runs from the centre of a circle.
The diameter SU and RT intersect each other at point Q.
Therefore,
m∠UQT = m∠RQS (Vertically opposite angles)
m∠UQR = m∠TQS (Vertically opposite angles)
Hence,
m∠RQS = 50°
Therefore,
m∠UQR = 360 - 50 + 50 / 2
m∠UQR = 360 - 100 / 2
m∠UQR = 260 / 2
m∠UQR = 130°
Therefore, the measure of the central angle m∠UQR is 130 degrees.
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4. What angle measures larger than 90 degrees, but less than 180 degrees? A reflx B straight C obtuse D right
Answers
Answer:
C obtuse
Step-by-step explanation:
An Obtuse angle measures more than 90° but less than 180°. A Straight angle or a half turn is always 180 °. Reflex is the next largest measuring more than 180° but less than 360°.
Can somone help me with these fractions will give u brainliest :'(
Answers
Answer:
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<
>
Step-by-step explanation:
Answer: >,<,>
Step-by-step explanation:
The amount of monthly data usage by sample of 10 cellphone users (in GB) is shown below: 4.7,6.3,2.5 GB, 0.8, 1.8,7.8,0.7, 1081,0.6,4.6 Identify potential irregularities in the data. Identify potential irregularities Select all that apply: The seventh value The eighth value The sixth value The ninth value The second value The fifth value The first value The third value The tenth value The fourth value
Answers
The potential irregularities in the given data are; The third term and the eight term.
What is the Outlier of the given data?
An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.
Now, we are given the amount of monthly data usage by sample of 10 cellphone users (in GB) as: 4.7, 6.3, 2.5 GB, 0.8, 1.8, 7.8, 0.7, 1081, 0.6, 4.6.
By careful observation, we can tell that majority of the 10 samples are decimals and less than 10. Thus, the first irregularity or outlier is 1081.
Now, the given data is said to be all in GB and as such there is no need to still add GB to 2.5. Thus, the second irregularity or outlier is 1081.
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what is the gcf of 28+35 in distributive property
Answers
Answer:
Step-by-step explanation:
dude its just 28+35=61
Skylar's monthly bank statement showed the following deposits and withdrawals: $107.51, $102.07, -−$99.71, -−$17.66, $110.57 If Skylar's balance in the account was $80.83 at the beginning of the month, what was the account balance at the end of the month?
Answers
The account balance at the end of the month is $283.61
What distinguishes withdrawals from deposits?
The deposits into the bank would increase the balance, hence, they have positive sign whereas the withdrawals would decrease the balance since their sign is negative, in other words, we can determine the account balance at the end of the month by adding deposits to beginning balance and deducting all withdrawals
ending balance=beginning balance+ deposits-withdrawals
beginning balance=$80.83
total deposits=$107.51+$102.07+$110.57
total deposits=$320.15
total withdrawals=-$99.71-$17.66
total withdrawals=-$117.37
ending balance=$80.83+$320.15-$117.37
ending balance=$283.61
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What is 4 times as much as 10.
Answers
4 x 10 is 40 it’s 10 4 times
Sarah goes to the grocery store and buys
four packs of gum. Sales tax in
Connecticut is 6.35%. If g is the price of a
single pack of gum, write a function p(g)
to model the scenario.
Answers
Based on the fact that sales tax in Connecticut is 6.35%, the price of a single pack of gum can be shown by the function, p(g) = 4g + 0.254g
What is the function?The price of a single pack of gum is g and Sarah bought 4 packets.
The total cost of her purchase is:
= (4 x price of single pack) x ( 1 + Sales tax rate)
When expressed in terms of g, the function is:
= 4g x (1 + 6.35%)
p(g) = 4g + 0.254g
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Write the equation of the line that passes through (5, −2) and is perpendicular to y equals 5 thirds times x minus 3 period y equals negative 3 fifths times x plus 1 y equals negative 3 fifths times x plus 19 fifths y equals 3 fifths times x minus 5 y equals 5 thirds times x minus 31 thirds
Answers
The equation of the line is: y = -3/5x + 1.
How to Write the Equation of a Line?The slope (m) of two lines that lie perpendicular to each other are negative reciprocals.
Given, y = 5/3x - 3, the slope (m) of the line is 5/3. The negative reciprocal of 5/3 is -3/5.
Thus, the line that is perpendicular to it will have a slope (m) of -3/5.
Substitute m = -3/5 and (a, b) = (5, -2) into y - b = m(x - a):
y - (-2) = -3/5(x - 5)
y + 2 = -3/5x + 3
y + 2 - 2 = -3/5x + 3 - 2
y = -3/5x + 1
Thus, the equation of the line is: y = -3/5x + 1.
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Answer: A a aa a a a a a
Step-by-step explanation:
(-6.8)(-0.06) Multiply
Answers
Answer:
0.408
Step-by-step explanation:
Convert -6.8 and -0.06 to 34/5 and 3/50(The math explains why)
[tex]0 - 68/10 \times 0 - 3/50\\0 - 34/5 \times (-3)/50\\= 51/125\\= 0.408[/tex]
Answer: 0.408
Step-by-step explanation:
Simplify each expression. Match the correct value with each expression. Values may be duplicated
2 + 32
18 – 17 + 1
24 ÷ 4 × 3
21 – 5 × 2
Answers
The values of the expression are 34, 2,18 and 11 respectively
Simplifying equations and expression using PEDMASThe meaning of the expression PEMDAS is as shown below;
P is the parenthesis
E is the expoenent
M is the multiplication
D is the division
A is the addition
S is the subtraction
Simplifying the given expression
2 + 32
18 – 17 + 1
24 ÷ 4 × 3
21 – 5 × 2
2 + 32 =2 + (30 + 2)
2 + 32 = 2 + 30 + 2
2 + 32 = 34
For the expression 18 - 17 + 1
18 - 17 + 1 = 1 + 1
18 - 17 + 1 = 2
For the expression 24 ÷ 4 × 3 (Division first then multiplication)
24 ÷ 4 × 3 = (24 ÷ 4) × 3
24 ÷ 4 × 3 = 6 × 3
24 ÷ 4 × 3 = 18
For the expression 21 – 5 × 2
21 – (5 × 2)= 21 - 10
21 – 5 × 2 = 11
Hence the values of the expression are 34, 2,18 and 11 respectively
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Is the digit in hundreds place 1/10 the value of the digit in the thousands place 5568
Answers
The statement that the digit in hundreds place is 1/10 the value of the digit in the thousands place 5568 is correct.
What is place value?
Place value is defined as the value that is represented by a digit in a number based on of its position in the number.
It is known as the exact value of each digit in a number.
It is also known as the position of digits in a given number set.
Example;
The place value of 5 in 50 is tens
The place value of 2 in 200 is hundreds
The place value of 0 in 50 is unit
From the information given, we have;
5568
Place value of 5 in hundreds is 500Place value of 5 in thousands is 5000Now, let's take the ratio
= 500/ 5000
= 1/ 10
Thus, the statement that the digit in hundreds place is 1/10 the value of the digit in the thousands place 5568 is correct.
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There is a bell at the top of the tower that is 50m high.The bell weight 180N. The has ___ energy
(Can u pls use GRESA?)
Answers
There is 9,000 Joule energy present in the bulb
Gravitational Potential Energy
The energy that an object store due to its height in a gravitational field is known as gravitational potential energy.
It can be calculated by using the equation below
U=m.g.h
Where:
m = mass of the object
h = height
g = acceleration due to gravity, or
Since the weight of an object of mass m can be calculated as:
W = m.g
The gravitational potential energy is:
U = W.h
The bell of weight W=180 N at the top of a tower is h=50 m high. Thus its energy is:
U = 180 N * 50 m
U = 9000 Joule
Hence, The bell has 9,000 Joule energy.
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Cheryl sees a shirt she wants to buy that cost $32.00.Sales tax is 8%. She used the expression 1.08p to calculate the total cost of the shirt with taxes using p as the price of the shirt before taxes.What its the final price Cheryl will pay for the shirt including taxes?
Answers
The final price Cheryl will pay for the shirt, using the mathematical expression that includes the sales tax, is $34.56.
What is a mathematical expression?A mathematical expression is a mathematical statement with two different numbers (known or unknown) and at least one mathematical operation.
The basic mathematical operations include addition, subtraction, division, and multiplication.
For, instance, the total cost of a T-shirt after factoring in the sales tax of 8% can be represented with this mathematical expression, T= 1.08p.
Data and Calculations:Cost of a shirt, p = $32
Sales tax = 8%
The mathematical expression of the total cost = 1.08p
The total cost = $34.56 ($32 x 1.08)
Thus, the final price Cheryl will pay for the shirt is $34.56.
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6. Max earns television time by completing chores at home. For every 4 chores he completes, he earns 30 minutes of
television time. If Max wants to watch a movie that is 120 minutes long, how many chores does he need to complete
to earn enough television time? Show or explain your reasoning.
7. In science class, students create walking robots. Brian's robot can walk 12 feet in 4 minutes. Isabelle's robot can
walk 20 feet in 8 minutes.
Do the two robots walk at the same speed? If not, whose robot walks faster? Explain or show your reasoning
Answers
Answer:
Step-by-step explanation:
Im pretty sure u know this... but i'll do it anyway to get points.
6. 4 chores = 30 minutes of television time
He needs 120 minutes of television time
So he will need to multiply both sides by 4 to get the amount of chores he needs to do to watch the movie.
Therefore, he does 16 chores( 4 x 4 ) to earn enough television time.
7. Make the amount of minutes the same to see how the speed they walk at.
If we convert Isabelle's robot' s speed to feet in 4 minutes, we can just compare both robots normally.
20/2= 10 feet in 4 minutes(Isabelle's robot) < 12 feet in 4 minutes(Brian's robot)
Therefore, Brians robot walks faster.
My answer is correct or no help me please
Answers
Answer:
Yes, you are correct.
We are told that he stops 5 times in total after walking equal distances per stop, meaning he split the total distance he had to walk into 5 parts.
The length of the distance between one stop to another would be equal to [tex]\frac{2250}{5}[/tex].
Linear functions model situations that are continually increasing or continually decreasing. Quadratic functions model situations that increase and then decrease, or vice versa.
Polynomial functions can model situations that change directions multiple times. What is a situation in which a polynomial model might make sense, and why?
Answers
A situation that can be modeled by a polynomial function is: Velocity of a Formula 1 car during a lap.
When should polynomial functions should be used?Polynomial functions should be used to model situations that change directions multiple times, between increase and decrease.
One possible example is the velocity of the Formula 1 car during a lap, as follows:
Initially, the velocity increases during the start-finish straight.On the approximation to first turn, the velocity decreases as the car breaks.Coming out of the turn, the velocity increases again.At the next breaking point, the velocity decreases.This behavior keeps happening until the end of the lap.
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please help me i need to figure out which one fast
Answers
Answer:
<1≅<3 <2≅<5 <3≅<6
The mass of planet earth is about 5.98x[tex]10^{24}[/tex] kilograms. When this number is written in standard notation, how many zeros are in the number
Answers
Answer:
there are 22 zeros when the number is written in standard notation.
The width of a rectangle measures (2.4d - 7.6f) centimeters, and its length
measures (7.2d-4.9f) centimeters. Which expression represents the perimeter, in
centimeters, of the rectangle?
Answers
the expression that represents the perimeter of the rectangle is 19d-5.4f.
What is periemeter?Perimeter can be defined as the total distance around an object.
To calculate the expression representing perimeter of the rectangle, we use the formula below.
Formula:
P = 2(l+w).............. Equation 1Where:
P = Perimter of the rectanglel = Length of the rectanglew = width of the rectangleFrom the question,
Given:
l = (2.4d-7.6f) cmw = (7.2d-4.9d) cmSubstitute these values into equation 1
P = 2[(2.4d-7.6f)+(7.2d-4.9f)]P = (4.8d-15.2f)+(14.2d-9.8f)P = 19d-5.4fHence, the expression that represents the perimeter of the rectangle is 19d-5.4f.
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HELP ME ANSWER THESE MATH QUESTIONS PLEASE! I WILL GIVE BRAINLYEST!!!
Answers
Answer:
Answer:
1. C and d.
A.13/ 5 miles north and 8 miles east
B.8?( The question makes 80% no sense)
3. 51? (Not sure on this once since 51 isn’t really a child).
4.up 5 back 1 up 5 back 1 (is the pattern)
I hope i got it right! <3
Easy significant digits question
Answers
The number of significant figures in the number 6.4×10³ are two which is '6 and 4'.
Significant figures notation is the method of determining the numbers in any representation which are necessary and holds some specific value. All the numbers which do not hold any specific value or position are not considered as significant figures. There are certain rules to determine the significant figures. These rules are that all non-zero numbers are significant, zeroes between two non-zero number are considered significant, zeroes before non-zero number are not significant.
In the question the number 6.4×10³ has only two significant digits which is '6 and 4' and the number 10 and 4 will not be counted as significant digits.
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determine the are of the circle, given each measurement . use 3.14 for pi and round to the nearest hundredth
Answers
Using 3.14 as the value of pi, and radius of 10, the area of the circle is given as 314.00 inches
How to solve for the area of a circleThe formula for the area of a circle is given as
πr² in terms of radius, r.
The radius is related to the diameter, d by r = d/2. so the area of a circle can also be in terms of the diameter, which is given as
πd²/4 in terms of diameter of a circle
We have been given the radius of the question as 10
When we add this to the formula we would have
Area = 3.14 x 10²
= 3.14 x 10 x 10
= 314.00
Hence we can conclude that the radius of a circle as 10 inches, the area of a given circle to the nearest hundred is 314.00 in²
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Complete question
Determine the area of the circle, given each measurement. Use 3.14 for Pi and round to the nearest hundredth.
Radius: 10 in.
A=_____in^2
Shane completed his science project early, he will receive an extra 5% on top of his regular score. He will also receive 10 bonus points. He received a regular score of 80%. Find his score graphically for g(x)=x+0.05
Answers
Based on the fact that Shane gets an extra 5% of his regular score, solving for his mark graphically with the equation, g(x) = x + 0.05 will give us the attached graph.
What graph represents Shane's information?The equation for Shane's score is g(x) = x + 0.05.
When interpreted, this graph means that for every point on the x-axis, the corresponding y-value will be 5% more than the x-value.
A score of 74 on the x-axis would correspond with 79 on the y-axis for instance. This is what is shown in the attached graph which makes it the correct graph.
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2(x−2)+5x the simplified answer, need help rn, WILL BRAINLIEST
Answers
7x-4
Step-by-step explanation:
2x-4+5x
add
7x-4
Which is
the features of function g if g(x)=log(x+ 2)
Answers
For the function g(x) we have:
Domain: x > -2Range: set of all real numbers.y-intercept = 0.3Which are the features of the given function?There are multiple features we can find, in this case, the most important ones are:
Domain.
Y-intercept.
Range.
First let's find the domain.
We know that logarithmic functions can be only evaluated in arguments larger than zero, so:
x + 2 > 0
x > -2
The domain is the set of all real numbers larger than -2.
Now the range is trivial, for all logarithmic functions the range is the set of all real numbers.
Finally, for the y-intercept we need to evaluate in x = 0, so we get:
y-intercept = log(0 + 2) = log(2) = 0.3
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Suppose you would like to make pancakes according to the given recipe:
Blueberry Pancakes Recipe, makes 6 servings
2 cups flour
2 tablespoons baking powder
1 teaspoon salt
2 eggs
1 1/2 cups milk
1 1/4 cups blueberries
Convert the amount of each ingredient of the recipe to make 15 servings. Round any decimal answers to two places.
Hint: You may want to make use of the conversion factor 15/6.
Answers
Answer:
4 1/2 cups of flour
4 1/2 tablespoons baking powder
4 1/2 teaspoon salt
4 1/2 eggs
5 cups of milk
5 cups of blueberries
Step-by-step explanation: