Answer:
18 jumps
Step-by-step explanation:
5*10 = 50cm
50/100 = 0.5m (metre conversion)
9/0.5 = 18
What are the y-intercept and the slope of the line represented in the graph?
A. y-intercept = -4 and slope = -2
B. y-interecept = 4 and slope = -2
C. y-interecept = 2 and slope = 4
D. y-interecept = 4 and slope = -4
5m - 12 - 2m + 6 + 3m
Answer:
6(m-1)
Step-by-step explanation:
See Image Below:)
The sum of the angles of a polygon is 2160. How many sides does the polygon have?
Answer:
14 sides
Step-by-step explanation:
Sum of the interior angles of a polygon is given by the formula (n-2)180°. So (n-2)180° = 2160°. So the polygon has 14 sides.
Which function is represented by this graph?
the answer for this question is A
b) In a certain weight lifting machine, a weight of 1 kN is lifted by an effort of 25 N. While the weight moves up by 100 mm, the point of application of effort moves by 8 m. Find mechanical advantage, velocity ratio and efficiency of the machine
The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.
The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.
The problem has provided the following information:
Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m
We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage
The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;
Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;
Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5
Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.
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SHOW WORK: h(x)= -4x+4, what is x when h(x)=-20 ? *
Answer:
x=6
Step-by-step explanation:
h(x)=-20 is the same as saying y=-20, so you would substitute h(x) with -20 and solve the equation from there.
\(-20=-4x+4\)
\(-4\) \(-4\)
---------------------
\(\frac{-24}{-4} =\frac{-4x}{-4}\)
\(6=x\)
If the mean heights of three groups of students consisting of 20,16 and 14 students are 167m, 150m and 1.40m respectively find the mean height of all the student.
Answer:
1.54 m
Step-by-step explanation:
Given information:
Three groups of students
20 students with a height of 1.67 m16 students with a height of 1.50 m14 students with a height of 1.40 m⇒ Total number of students = 20 + 16 + 14 = 50
To find the mean height of all the students, divide the sum of all the students' heights by the total number of students:
\(\begin{aligned}\implies \sf mean\:height & =\dfrac{(20 \times 1.67)+(16 \times 1.50)+(14 \times 1.40)}{50}\\\\ & = \dfrac{33.4+24+19.6}{50}\\\\ & = \dfrac{77}{50}\\\\ & = 1.54\:\: \sf m\end{aligned}\)
Therefore, the mean height of all the students is 1.54 m
The heights should be
1.67m,1.5m,1.4m as it's looking general and possibleFind mean
\(\\ \rm\Rrightarrow Mean=\dfrac{1.67(20)+1.5(16)+1.4(14)}{14+16+20}\)
\(\\ \rm\Rrightarrow Mean=\dfrac{77}{50}\)
\(\\ \rm\Rrightarrow Mean=1.54m\)
Select the correct answer. In which direction must the graph of f(x) = x be shifted to produce the graph oSelect the correct answer.
In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = f(x) - 4?
A.
left and down
B.
right and up
C.
down
D.
upf g(x) = f(x) - 4? A. left and down B. right and up C. down D. up
Answer:
A. down
Step-by-step explanation:
The parent graph is
f(x)=x
If this graph is transformed to obtain
g(x)=f(x)−4
The subtracttion means the graph will shift downward vertically
The graph of g(x) is obtained by shifting f(x) down by 4 unit.
Therefore the direction is down.
Mark this as brainliest please.
How do I get a percentage of a number
Answer:
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
Fill in the blanks to complete the rule
uh i could never, sorry
A consumer wanted to find out how accurate Siri (an Apple digital assistant) is, so he asked questions on general facts and recorded how many Siri got right. Out of the 84 questions he asked Siri, Siri responded correctly to 73 of them. What is the estimate of the population proportion
Answer:
The answer is "0.869"
Step-by-step explanation:
Number of sample \((n) = 84\)
Number of correct response \((X) = 73\)
Calculating the Sample proportion:
Formula:
\(\text{Sample proportion}=\frac{\text{number of sample}}{\text{correct responses}}\)
\(=\frac{n}{X}\\\\= \frac{73}{84} \\\\=0.869\)
determine the range of the following graph
The range of the graphed function in this problem is given as follows:
[-9, 9].
How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The values of y in this function are between -9 and 9, inclusive, hence the range of the function is given as follows:
[-9, 9].
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Which expressions correctly show "the sum of the product of 3 and 8 and the product of 12 and 2"? Select two that are correct. *
3 + 8 + 12 + 2
(12 × 2) + (3 × 8)
3 × 8 × 12 × 2
(3 + 8) × (12 + 2)
(3 × 8) + (12 × 2)
Answer:
The two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)Step-by-step explanation:
Let 'a' and 'b' be the two numbers.
When we say the product of 'a' and 'b', it
algebraically means: a × bLet 'c' and 'd' be the two numbers.
When we say the product of 'c' and 'd', it
algebraically means: c × dAnd when we say the sum of the product of 'a' and 'b' and the product of 'c' and 'd', it algebraically means:
(a × b) + (c × d)
or
(c × d) + (a × b)
as
(a × b) + (c × d) = (c × d) + (a × b)
So when we say "the sum of the product of 3 and 8 and the product of 12 and 2".
It algebraically means:
(12 × 2) + (3 × 8)
or
(3 × 8) + (12 × 2)
as
(12 × 2) + (3 × 8) = 24 + 24 ∵ 12 × 2 = 24, 3 × 8 = 24
= 48
(3 × 8) + (12 × 2) = 24 + 24 ∵ 3 × 8 = 24, 12 × 2 = 24,
= 48
Therefore, the two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)The translation shown in the graph moves the figure to the right. What kind of translation is shown?
Answer:
A horizontal translation of 6 units to the right is shown.
Step-by-step explanation:
When a figure moves A units to the right or left, we have a horizontal translation of A units.
In this question:
The graphic moved 6 units to the right. So a horizontal translation of 6 units to the right is shown.
Answer:
the answer is Horizontal.
Step-by-step explanation:
edge 2021-2022
Can anyone do this two question for me it’s test just have 15 minutes please do quick god bless you
trouve trois nombres entiers consécutifs dont la somme vaut 513
Answer:
170, 171, 172
Step-by-step explanation:
x + x + 1 + x + 2 = 513
3x + 3 = 513
3x = 510
x = 170
x + 1 = 171
x + 2 = 172
Which equations are true? Select all that apply.
A.
66
÷
10
1
=
6
.
6
66
÷
10
1
=
6
.
6
B.
660
÷
10
0
=
66
660
÷
10
0
=
66
C.
6
,
600
÷
1
,
000
=
0
.
66
6
,
600
÷
1
,
000
=
0
.
66
D.
0
.
66
÷
10
1
=
0
.
066
0
.
66
÷
10
1
=
0
.
066
E.
6
÷
100
=
0
.
06
Answer:
B
Step-by-step explanation:
If you like my answer than please mark me brainliest ty <3
There are 616 calories in eight ounces of a certain ice cream. How many calories are there in one pound?
Answer 1232
Step-by-step explanation:
16 oncues equal 1 pound so 8x2 equals 16
so you would moultiply 616x2
Answer: 1,232 calories
Step-by-step explanation: Since there’s 16 ounces in a pound, all you have to do is multiply 616 by 2 which equals 1,232 calories. 8 times 2 = 16, so 616 times 2 = 1,232
Given the coordinate plane and points provided highlight the point whose distance from point A is approximately 7.1 units
Point D (-4, -4)
ExplanationsIn order to determine the point whose distance from point A is approximately 7.1 units, we will use the distance formula expressed as:
\(D=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)Given the coordinate points A (1, 1), we need to determine the other coordinate from A that will give a distance of 7.1 units
Using the coordinate point D (-4, -4). The distance AD is calculated as:
\(\begin{gathered} AD=\sqrt[]{(1-(-4))^2+(1-(-4))^2} \\ AD=\sqrt[]{(1_{}+4)^2+(1+4)^2} \\ AD=\sqrt[]{5^2+5^2} \\ AD=\sqrt[]{50} \\ AD\approx7.1\text{units} \end{gathered}\)This shows that the point whose distance from point A is approximately 7.1 units is the coordinate point D
jaci welk is paid $11.95 an hour with time-and-a-half pay for all hours she works over 40 hours a week. last week she worked 45 1/2 hours.
how many over time hours did jaci worked?
what was her overtime rate?
what was her overtime pay?
Answer:
Number of hours worked overtime = 5.5 hours
overtime rate = $17.925 per hour
overtime pay = $98.59
Step-by-step explanation:
a. Her overtime hours are the number of hours worked over 40 hours, and we are told that she worked 45 1/2 hours last week.
Therefore, her overtime hours = 45.5 - 40 = 5.5 hours
b. overtime rate:
for her overtime rate, we are given that she has a time-and-a-half pay for her overtime hours. This means that she is paid 1.5 times the normal rate for working overtime.
∴ overtime rate = 1.5 × normal rate
overtime rate = 1.5 × 11.95/hour
overtime rate = $17.925/hour
c. overtime pay:
overtime pay = overtime rate × overtime hours worked
overtime pay = 17.925 × 5.5
overtime pay = $98.59
What’s the product of four-fifths and two-and-five-twelfths?
Answer:
One and fourteen fifteenths
Step-by-step explanation
4/5 (2 15/2)
4/5 (29/12)
29/15=1 14/15
What is the intermediate step in the form (x+a)^2=b as a result of complementing the square for the following equations
The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.
To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.
Add the square of half of the coefficient of x to both sides of the equation:
x² + 2x + (2/2)² = 319 + (2/2)²
x² + 2x + 1 = 320
The left-hand side of the equation can now be factored as a perfect square:
(x+1)² = 320
This is the equation in the form (x+a)²=b, where a=1 and b=320.
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The complete question is as follows:
What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?
x² + 2x = 319
The temperature of an oil as it cools is described by the equation T = 189 * (0.73) ^ t + 45 where T is the temperature in degrees Celsius and t is the time in minutes. Determine the temperature of the oil after 7 minutes .
Answer:
Step-by-step explanation:
Question 6
Which is the graph of y=-x-3?
Graph B
Graph C
Graph A
Answer:
Step-by-step explanation:
the question is in the photo
A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. Find the percent of data greater than 6.9.
Solution
Step 1:
Give data
\(\begin{gathered} mean\text{ }\mu\text{ = 5.1} \\ standard\text{ }\sigma\text{ = 0.9} \\ \text{x = 6.9} \end{gathered}\)Step 2:
Find the z-score
\(\begin{gathered} \text{z = }\frac{x\text{ - }\mu}{\sigma} \\ \text{z = }\frac{6.9\text{ - 5.1}}{0.9} \\ \text{z = 2} \end{gathered}\)Step 3:
Draw the normal distribution curve
Step 4
\(P(x\text{ > 6.9\rparen = p\lparen z >2\rparen = 0.4772}\)Final answer
0.4772 x 100
= 47.72%
Use synthetic division to determine whether or not (2 – 1) is a factor of (-32% – 2x² – 1).-- Quotient:help (formulas)- Remainder:help (numbers)- Is (2 – 1) is a factor of (-323 – 2x2 - 1)?Yes No
Answer:
Explanations:
From the question, we are to use synthetic division to divide x - 1 by the polynomial function -3x^3 - 2x^2 - 1
Next is to use the synthetic division to carry out the operation as shown below;
From the calculation above, we can conclude the following;
\(undefined\)Gloria would like to construct a box with volume of exactly 55ft3 using only metal and wood. The metal costs $10/ft2 and the wood costs $7/ft2. If the wood is to go on the sides, the metal is to go on the top and bottom, and if the length of the base is to be 3 times the width of the base, find the dimensions of the box that will minimize the cost of construction. Round your answer to the nearest two decimal places.
What is the length, width
The dimensions of the box are:
Width=2.97 ft
Length = 8.91ft
Height=2.08ft
{(4x+2y=6),(-2x+2y=18):} Solve by using the elimination method
Please help and show me how you did it
Answer:
\(\displaystyle [-2, 7]\)
Step-by-step explanation:
You want to eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:
\(\displaystyle \left \{ {{4x + 2y = 6} \atop {-2x + 2y = 18}} \right.\)
{½[4x + 2y = 6]
{−2x + 2y = 18
>> \(\displaystyle \left \{ {{2x + y = 3} \atop {-2x + 2y = 18}} \right. \\ \\ \frac{3y}{3} = \frac{21}{3} \\ \\ \\ y = 7\)
Plug this back into the system to get the x-value of \(\displaystyle -2.\)
I am joyous to assist you at any time.
If a learner’s permit holder is convicted of committing a moving violation, he/she
A must restart the 9 month waiting period to be eligible for a provisional license.
B must complete the Driver Improvement Program on line
C must wait until he/she is 21 to receive a driver’s license.
D none of the above.