Answers
Answer:
The last graph is the correct answer
Step-by-step explanation:
Here, we are interested in picking the correct graph that best answers the question.
Before we pick any of the graphs as our answer, it will be appropriate to solve the inequality.
-4h + 42 <34
-4h < 34-42
-4h < -8
Now divide both side by -4; kindly note that when dividing an inequality by a negative number, the sign will change
h > -8/-4
h > 2
So which of the graph best showcases this?
The correct answer is the last graph
Related Questions
If a company buys coffee at a price of $5/kg and then sells it their stores for $18/kg, what is the percentage profit compared to the original cost of the coffee?
Answers
Answer:
260%
Step-by-step explanation:
For the coffee;
cost price ([tex]C_{P}[/tex]) = $5/kg
selling price ([tex]S_{P}[/tex]) = $18/kg
Percentage profit (%P) = [tex]\frac{S_P - C_P}{C_P} * 100%[/tex] %
Substitute the right values into the above;
%P = [tex]\frac{18 - 5}{5} * 100%[/tex] %
%P = [tex]\frac{13}{5} * 100%[/tex] %
%P = 260%
Therefore, the percentage profit compared to the original cost of the coffee is 260%
Subtract: (7-6i)(4+2i)
Answers
Answer:
(3-8i)
Step-by-step explanation:
Group the real part and the imaginary part of the complex number
What is the reason for statement 3 in this proof?
Answers
Answer:
d
Step-by-step explanation:
Answer: E definition of midpoint
Step-by-step explanation:
Correct on Plato
what is 9393 divided by 81x1 ?
Answers
Answer:
115.96
Step-by-step explanation:
=> [tex]9393 / 81 * 1[/tex]
By BODMAS, Dividing first
=> 115.96 * 1
Now, Multiplying
=> 115.96
Answer:
115.962963
Step-by-step explanation:
81 x 1 = 81
9393 ÷ 81 = 115.96
Pam works as an office administrator. She spends $7500 of her income on personal expenses each year. If this represents 18% of her salary, how much money does Pam earn in one year?
Answers
Answer: Pam's total salary is $41666.666
Step-by-step explanation:
Assume her total earning or salary per year = y
Personal expenses spent yearly = $7500
Personal expenses yearly ($7500) = 18% of y
100%y =
18% of y = 7500
(18/100)y = $7500
100% y = Total salary
0.18y = $7500 - - - - - - - (1)
1y = Total salary
(Total salary * 0.18y) = (7500 * y)
Total salary = 7500y / 0.18y
Total salary = 7500/0.18
Total salary = $41666.666
Angle G is a circumscribed angle of circle E. Circle E is shown. Line segments F E and D E are radii. A line is drawn to connect points F and D. Tangents F G and D G intersect at point G outside of the circle. Angles E B D and F D E have measures of x degrees. What is the measure of angle G, in terms of x? x° + x° x° + 90° 180° – x° 180° – 2x°
Answers
Answer:
X+X
Step-by-step explanation:
did it on edg
Answer:
x° + x°
Step-by-step explanation:
Edge 2020
The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school:
High Low Q1 Q3 IQR Median Mean σ
College 20 6 8 18 10 14 13.3 5.2
High School 20 3 5.5 16 10.5 11 11 5.4
Which of the choices below best describes how to measure the spread of these data?
(Hint: Use the minimum and maximum values to check for outliers.)
Both spreads are best described by the IQR.
Both spreads are best described by the standard deviation.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.
Answers
Answer:
The correct option is;
Both spreads are best described by the standard deviation
Step-by-step explanation:
The given information are;
, College High School
High, 20 20
Low, 6 3
Q₁, 8 5.5
Q₃, 18 16
IQR, 10 10.5
Median, 14 11
Mean, 13.3 11
σ, 5.2 5.4
Checking for outliers, we have
College
Q₁ - 1.5×IQR gives 8 - 1.5×10 = -7
Q₃ + 1.5×IQR gives 18 + 1.5×10 = 33
For high school
Q₁ - 1.5×IQR gives 5.5 - 1.5×10.5 = -10.25
Q₃ + 1.5×IQR gives 16 + 1.5×10.5 = 31.75
Therefore, there are no outliers and the data is representative of the population
From the data, for the college students, it is observed that the difference between the mean, 13.3 and Q₁, 8, and between Q₃, 18 and the mean,13.3 is approximately the standard deviation, σ, 5.2
The difference between the low and the high is also approximately 3 standard deviations
Therefore the college spread is best described by the standard deviation
Similarly for the high school students, the IQR is approximately two standard deviations, the difference between the mean, 11 and Q₁, 5.5, and between Q₃, 16 and the mean,11 is approximately the standard deviation, σ, 5.4
Therefore the high school spread is also best described by the standard deviation.
Answer:
Both spreads are best described by the standard deviation
Step-by-step explanation:
(Pls do solution or take picture)In the figure, ACEF is a rectangle and BC = CD DE The area of rectangle ACEF is 80 cm. Find the area of the triangle BDF.
Answers
Answer:
28 cm²
Step-by-step explanation:
The area of Δ BDF is the area of the rectangle subtract the area of the 3 white triangles.
Since the area of the rectangle = 80 cm² and
area = length × breadth, then
breadth = 80 ÷ 10 = 8 cm
Thus CE = EF = 8 cm and CD = DE = BC = 4 cm
Area of Δ DEF = 0.5 × 10 × 4 = 20 cm²
Area of Δ ABF = 0.5 × 8 × (10 - 4) = 0.5 × 8 × 6 = 24 cm²
Area of Δ BCD = 0.5 × 4 × 4 = 8 cm²
Thus
area of Δ BDF = 80 - (20 + 24 + 8) = 80 - 52 = 28 cm²
Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car. Use α = 5% to hand calculate and check your work in SPSS.
Compact Cars Midsize Cars Full-Size Cars
6 4 9
6 4 8
7 5 5
Answers
Answer:
The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.
Step-by-step explanation:
A one-way ANOVA is used to test whether there is significant difference between the means for more than two groups.
In this case we need to test whether the mean pressure applied to the driver’s head during a crash test is significantly different for each type of car.
So, a one-way ANOVA would be used.
The hypothesis can be defined as follows:
H₀: There is no difference between the means, i.e. [tex]\mu_{1}=\mu_{2}=\mu_{3}[/tex]
Hₐ: There is a significant difference between the means, i.e. at least one of the mean is different.
Use MS-Excel to perform the ANOVA test.
Go to Data – Data Analysis – Anova: Single Factor
Enter the data and enter Alpha as 0.05.
Press OK.
The output is attached below.
The F-test statistic value is, F = 5.143.
The p-value of the test is, p-value = 0.072.
Decision Rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
p-value = 0.072 > α = 0.05
The null hypothesis will not be rejected.
Conclusion:
The mean pressure applied to the driver’s head during a crash test is not significantly different for each type of car.
Suppose you place $10,000 in a retirement fund that earns a nominal interest rate of 8 percent. If you expect inflation rate to be 5 percent or lower, then calculate the real interest rate you are expecting to earn.
Answers
Answer:
Real interest rate= 3%
Step-by-step explanation:
Giving the following information:
Suppose you place $10,000 in a retirement fund that earns a nominal interest rate of 8 percent. The inflation rate is 5 percent.
The effect of the inflation rate on the interest rate is counterproductive. The inflation rate diminishes purchasing power.
Real interest rate= nominal interest rate - inflation rate
Real interest rate= 0.08 - 0.05= 0.03
Plz help I don't know what the answer is
Answers
Answer:
1) Is 180
2) Is 5
Step-by-step explanation:
the expression for the number of diagonals that we can make from one vertex of a n sided polygon is
Answers
Answer:
[tex]\frac{n(n-3)}{2}[/tex]
Step-by-step explanation:
Polygon Diagonals are a pattern that follows a specific rule which can be used through a specific formula. Remember that Math focuses on patterns to create equations that help to study them, and this case is not an exception.
The equation for polygon diagonals is
[tex]\frac{n(n-3)}{2}[/tex]
Where [tex]n[/tex] refers to the number of sides of the polygon.
You see, a diagonal is defined as the union between two non-consecutive vertices. For a convex n-sided polygon, there are going to be n vertices, and we can draw [tex]n-3[/tex] from each vertex, then we multiply this by [tex]n[/tex], because that's the total number of sides.
In the end, we divide by 2, because with the method described, we will have double number of diagonals.
Solve this problem, which steps would you take? Include any theorems, definitions, or reasons that explain the steps. Make sure you include all steps needed to solve for ∠A
Answers
Answer:
∠A=123°.
Step-by-step explanation:
From the given figure it is clear the CD and CE are two tangent lines on circle with center A.
Radius is perpendicular to the tangent at the point of tangency.
[tex]\angle ADC=90^{\circ}[/tex]
[tex]\angle AEC=90^{\circ}[/tex]
Smaller arc DE = (5x-2)°
It means central angle DAE is (5x-2)°.
[tex]\angle DAE=(5x-2)^{\circ}[/tex]
Now, ADCE is a quadrilateral and sum of all angles of a quadrilateral is 360 degrees.
[tex]\angle ADC+\angle DCE+\angle AEC+\angle DAE=360^{\circ}[/tex]
[tex]90^{\circ}+(2x+7)^{\circ}+90^{\circ}+(5x-2)^{\circ}=360^{\circ}[/tex]
[tex](7x+5)^{\circ}+180^{\circ}=360^{\circ}[/tex]
[tex](7x+5)^{\circ}=360^{\circ}-180^{\circ}[/tex]
[tex](7x+5)^{\circ}=180^{\circ}[/tex]
[tex]7x+5=180[/tex]
[tex]7x=175[/tex]
[tex]x=25[/tex]
The value of x is 25.
[tex]\angle A=5x-2=5(25)-2=125-2=123^{\circ}[/tex]
Therefore, the measure of ∠A is 123°.
HELP!!!!!
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.
Answers
Answer:
1
Step-by-step explanation:
identify two points on the graph:
1. (0, 4)
2. (-2, 2)
use slope formula: (y² - y¹) / (x² - x¹)
1. (2 - 4) / (-2 - 0) = -2 / -2 = 1
slope = 1
Which is the graph of f(x) = /x?
Answers
Answer:
neither on of those. I can't see the the other answers so your best bet is to look on m-a-t-h-w-a-y. (had to spell out with hyphens but remove them and go to that)
Step-by-step explanation:
A candle burns at a constant rate of 2.5cm/h. The candle is 15cm tall when it is first lit. Let "t" represent the time is it burning in hours and let "h" represent the height of the candle in centimetres.
Answers
Answer:
The initial height of the candle is H = 15cm
The rate at which the candle burns is 2.5 cm per hour
Then after one hour, the height of the candle is:
h = 15cm - 2.5cm = 12.5cm
after two hours is:
h = 15cm - 2*2.5cm = 10cm
then, after t hours, the height of the candle is:
h = 15cm - (2.5cm/h)*t
now, the domain of h (or the range of the function) is:
h ∈ [0cm, 15cm]
when t = 0, h(0h) = 15cm
and the maximum value of t will be such that the candle is totally consumed:
h(t) = 0 = 15 - 2.5*t
t = 15/2.5 = 6
Then the domain of the function is:
t ∈ [0h, 6h]
What is the volume of the cone? What is the volume of the cylinder? What is the volume of the sphere? At the craft store discussed above, the clay cone is $12, the clay cylinder is $30, and the clay sphere is $28. Which is the best buy? Explain. Hint: Which shapes gives you more clay for less money?
Answers
Answer:
clay sphere gives more clay for less money
Step-by-step explanation:
Volume of cone=1/3πr^2h
=1/3*3.14*(9^2)*12
=1/3*3.14*81*12
=3,052.08/3
=1017.36 inches^3
Volume of a cyclinder=πr^2h
=3.14*(9^2)*12
=3.14*81*12
=3,052.08 inches^3
Volume of a sphere=4/3πr^3
=4/3*3.14*(9^3)
=4/3*3.14*(9^3)
=4/3*3.14*729
=9,156.24 / 3
=3,052.08 inches^3
Clay cone=$12
Clay cyclinder=$30
Clay sphere=$28
Which is the best to buy
Comparing volume
Volume of sphere=3,052.08 inches^3
Volume of cyclinder=3,052.08 inches^3
Volume of cone=1017.36 inches^3
Sphere and cyclinder both have the same volume which is 3 times more than volume of a cone
Clay sphere cost $28 which is cheaper than clay cyclinder at the same volume.
Therefore, clay sphere gives more clay for less money
A spinner has six spaces that are all the same size. Three spaces are yellow, two are red, and one is blue. If the spinner is spun 150 times, it should land on yellow about ___ times, on red about ___ times, and on blue ___ times.
Answers
The spinner should land on yellow about 75 times, on red about 50 times, and on blue about 25 times.
How to solve the probabilityYellow: 3 spaces out of 6, so the probability is 3/6 = 1/2
Red: 2 spaces out of 6, so the probability is 2/6 = 1/3
Blue: 1 space out of 6, so the probability is 1/6
multiplying the probability of each color by 150:
Yellow: 1/2 * 150 = 75 times
Red: 1/3 * 150 = 50 times
Blue: 1/6 * 150 = 25 times
Terefore The spinner should land on yellow about 75 times, on red about 50 times, and on blue about 25 times.
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Determine whether the triangles are congruent. Explain you reasoning.
Answers
Triangles are congruent
Step-by-step explanation:
Law of Side, Side, Angle
Thier base are same (PR).
Thier 1 side is equal to 2 inch (PS = RQ).
Thier 1 angle is equal (/_ PRQ = /_ RPS)
So, Its prove that both triangles are congruent.
in a certain game, points you win are positive numbers and points you lose are negative numbers. What is the value of the series plays: win 8, lose 7, will 11, lose 2?
a -15
B -4
C 4
d 12
Answers
Answer:
4
Step-by-step explanation
+8 + (-7) + (+11) + (-2)= 4
The value of the series plays is 10.
--------------------------
In this question, we have to find the total amount of points, considering the number of points on each series.
Win 8: Add 8 points.Lose 7: Subtract 7 points.Win 11: Add 11 points.Lose 2: Subtract 2 points.--------------------------
The total is:
[tex]T = 8 - 7 + 11 - 2 = 1 + 9 = 10[/tex]
10 points.
A similar question is given at https://brainly.com/question/14350453
Sally has 20 coins in her piggy bank, all dimes and quarters. The total amount of money is $3.05 If d = the number of dimes and q = the number of quarters Sally has, one of the linear equations that could be used to model this situations is
Answers
Answer:
[tex]d + q = 20[/tex]
[tex]0.25d + 0.10q = 3.05[/tex]
Step-by-step explanation:
Given
Coins = 20
Value = $3.05
Required
Determine the equation that represent this
From the question, we have that
d = the number of dimes
q = the number of quarters
This implies that;
[tex]d + q = 20[/tex]
Also;
[tex]1 d=\$0.25\ \ and\ \\1 q= \$0.10[/tex]---------- Standard unit of conversion;
This implies that
[tex]0.25d + 0.10q = 3.05[/tex]
Hence, the equations are:
[tex]d + q = 20[/tex]
[tex]0.25d + 0.10q = 3.05[/tex]
If $6a^2 + 5a + 4 = 3,$ then what is the smallest possible value of $2a + 1$?
Answers
Answer: 0
Step-by-step explanation:
The given equation: [tex]6a^2+5a+4=3[/tex]
Subtract 3 from both the sides, we get
[tex]6a^2+5a+1=0[/tex]
Now , we can split 5a as 2a+3a and [tex]2a\times 3a = 6a^2[/tex]
So, [tex]6a^2+5a+1=0\Rightarrow\ 6a^2+2a+3a+1=0[/tex]
[tex]\Rightarrow\ 2a(3a+1)+(3a+1)=0\\\\\Rightarrow\ (3a+1)(2a+1)=0\\\\\Rightarrow\ (3a+1)=0\text{ or }(2a+1)=0\\\\\Rightarrow\ a=-\dfrac{1}{3}\text{ or }a=-\dfrac{1}{2}[/tex]
At [tex]a=-\dfrac{1}{3}[/tex]
[tex]2a+1=2(-\dfrac{1}{3})+1=-\dfrac{2}{3}+1=\dfrac{-2+3}{3}=\dfrac{1}3{}[/tex]
At [tex]a=-\dfrac{1}{2}[/tex]
[tex]2a+1=2(-\dfrac{1}{2})+1=-1+1=0[/tex]
Since, [tex]0< \dfrac{1}{3}[/tex]
Hence, the possible value of 2a+1 is 0.
7 3/8 + (-4 1/2) ÷ (-5 2/3) Please Explain
Answers
Answer:
7 3/8 + (-4 1/2) ÷ (-5 2/3) = 8 23/136
Step-by-step explanation:
1) First I turned all the mix numbers into improper fractions:
7 3/8 ----> ( 7(8)+3/8) = 59/8, 4 1/2 ----> (4(2)+1/2) = 9/2, 5 2/3 ----> (5(3)+2/3) = 17/3
So now it should look like this: 59/8 + (-9/2)÷(-17/3)
2) Now our goal is to divide both of the improper fractions (-9/2)÷(-17/3),
- We first apply our fraction rule: -a/-b = a/b (when we have two negatives they cancel out each other and make a positive)
Our Case, From this:-9/2 ÷ -17/3 = To This: 9/2 ÷ 17/3
3) Now we can divide the fractions using this rule: a/b ÷ c/d = a times d / b times
Our Case, From This: 9/2 ÷ 17/3 To This: 9(3)/2(17) Which Gives Us: 27/34
(9 x 3 = 27, 2 x 17= 34)
So now it looks like this: 59/8 +27/34
4) Our look goal is to have the same denominator (which is the bottom part of the fraction) which are 8 and 34
To find it we find the LCM or Least Common Multiple of 8 and 34
(The LCM of a, b is the smallest positive number that is divisible by both a and b) which in this case a and b are 8 and 34
LCM is 136
5) We adjust our two fractions based on the LCM,
(Multiply each numerator ( top part of the fraction) by the same amount of needed to multiply its corresponding denominator to turn it to the LCM 136.
From This: 59/8 and 27/34 To This: 1003/136 and 108/36 ( 59(17)/8 (17) = 1003/136, 27(4)/34(4) = 108/306
6) Finally we can add the numerator (1003 and 108) together: 1003+108= 1111 and now we are left with 1111/136
Then we turn our improper fraction back into a mix number: 1111/138= 8 23/136
Answer:
[tex]\frac{1111}{136} = 8 \frac{23}{136}[/tex]
Step-by-step explanation:
We want to simplify:
[tex]7 \frac{3}{8} + \frac{ -4 \frac{1}{2} }{ -5 \frac{2}{3} }[/tex]
First, convert all the fractions to improper fractions:
[tex]\frac{59}{8} + \frac{ - \frac{9}{2} }{ - \frac{17}{3} } \\\\= \frac{59}{8} + \frac{27}{34}[/tex]
Find the LCM of the denominators:
[tex]\frac{(17 * 59) + (4 * 27)}{136} \\\\ = \frac{1003 + 108}{136}\\ \\= \frac{1111}{136} \\\\= 8 \frac{23}{136}[/tex]
Find the length of the unknown side. Round your answer to the nearest whole number.
7 m
7 m
07 meters
09 meters
10 meters
12 meters
Answers
Answer:
10 meters
Step-by-step explanation:
From your question, it seems we are dealing with a triangle and we are given the two legs of the triangle.
The given dimensions are:
7 meters and 7 meters.
Required:
Here, we are required to find the third side of the triangle which is the hypotenus.
Using Pythagoras theorem:
a² + b² = c²
Where a = 7 & b = 7
Thus, we have:
7² + 7² = c²
c² = 49 + 49
c² = 98
Take the root of both sides
√c² = √98
c = √98
c = 9.899
c ≈ 10 meters
Therefore the length of the unknown side is approximately 10 meters
How does the period of f(x)= cos(2x) relate to the period of the parent function cos x?
Answers
Answer:
Both have the same period which is 2π
Step-by-step explanation:
Solve the proportion for X.
5/2.5=
X/2
1
4
5.5
6.25
Answers
Answer:
[tex]\large \boxed{X = 4}[/tex]
Step-by-step explanation:
5/2.5 = X/2
To solve a proportion, use the following equation:
(numerator * opposite denominator) = (numerator * opposite denominator)
Substitute in given numbers
(5 * 2) = (X * 2.5)
Multiply to simplify
10 = 2.5X
Divide both sides of this equation by 2.5
[tex]\large \boxed{X = 4}[/tex]
Hope this helps :)
2) w(x) =
18
-X +-
5'
5. Find w
ܚ ܝ
13
67
A)
B)
10
17
70
39
C)
D)
20
40
PLZ HELP ):
Answers
Answer:
sorry don't know what is ans
Answer:
Hi Mate!
plz don't scan the questions, it will be incorrect
Please help. I will give out brainliest
Answers
Answer:
the table is correct
the graph will look like:
Help pleaseeee with atleast one❤️
Answers
Answer:
3) 23 cm
4)10.1
5)50
Aminah had $120. She spent 20%of the money of food and 25% of the remaining on clothes. What percent of the money did she saved? How much money did she have left?
Answers
Answer:
She saved $48; She had $72 remaining
Step-by-step explanation: She started off with $120. 20% of $120= $24, 25% of $96= $24. $24 + $24= $48. $120(total) - $48(total money saved) = $72(money left).
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
The amount of money left is $72
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Amount = $120
Amount spend on food.
= 20% of 120
= 20/100 x 120
= $24
Amount remaining.
= 120 - 24
= $96
Amount spend on clothes.
= 25% of 96
= 1/4 x 96
= $24
Amount remaining.
= 96 - 24
= $72
Thus,
The amount of money left is $72
Learn more about percentages here:
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