Answer:
5 ≤ The number of packages Renna can remove
Step-by-step explanation:
The allowable mass on the elevator is given as 450 kg
The mass of Renna and the packages = 620 kg
The mass of each package = 37.4 kg
The mass Renna should remove from the elevator to meet the mass requirement = 620 - 450 = 170 kg
Therefore, the number of packages, n, Renna should remove can be found from the following inequality
170 ≤ n × 37.4
We note that since the mass of the packages are known, 5 packages weigh 187 kg which is > 170 kg
Therefore, the number of packages to be removed is 170 ≤ n × 37.4 < 187
Dividing by 37.4, we get;
Number of packages to be removed = 4.55 ≤ n < 5 ≈ 5 packages
Given that there whole number packages, we have;
5 ≤ n, which is , 5 ≤ The number of packages Renna can remove.
Answer:
37.4p ≥ 170
Step-by-step explanation:
5 are in total packages.
Trust me this is the answer because I did this before
Hope this helps ;)
Which equation correctly uses the trigonometric ratio for sine to solve for y?
Answer:
b y = 9sin(36)
Step-by-step explanation:
sin A = opp/hyp
for the 36-deg angle, opp = y, and hyp = 9.
sin 36 = opp/hyp
sin 36 = y/9
y = 9 * sin 36
Answer: b y = 9sin(36)
Find the value of x. Round the length to the nearest tenth.
Answer:
x=6 and x=5.1
Step-by-step explanation:
determine (a) the area and (b) the circumference of the circle.
a. the area of the circle is ___
b. the circumference of the circle is ____
Step-by-step explanation:
a).To find the area of the circle we must first find the radius using the formula
radius = diameter / 2
From the question
diameter = 21 ft
The radius is
21/2 = 10.5 ft
Area of a circle = πr²
where r is the radius
Area = π(10.5)²
= 110.25π
= 346.36 cm²b).Circumference of a circle = πd
where d is the diameter
Circumference = π(21)
= 65.97cmHope this helps you
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Given,
Diameter of the ⭕ (d) = 21 ft
So, radius of the ⭕ (r) = ?
[tex]r = \frac{d}{2} \\ r = \frac{21}{2} \\ r = 10.5 \: \: ft[/tex]
[tex]\boxed{Radius \ = \ 10.5 \ ft}[/tex]
____________________
a) Find the area of the ⭕.
[tex]\boxed{Area \ (a) \ = \ πr^{2}}[/tex]
[tex]a = \pi \: r ^{2} \\ a = \pi(10.5) {}^{2} \\ a = 110.25 \: \pi \\ a = 110.25 × 3.14 \\ a = 346.18 \ ft^{2}[/tex]
[tex]\boxed{Area \ = \ 346.18 \ ft^{2}}[/tex]
____________________
b) Find the circumference of the ⭕.
[tex]\boxed{Circumference \ (c) \ = \ \pi \:d}[/tex]
[tex]c = \pi \: d \\ c = \pi(21) \\ c = 21\pi \\ c = 21 × 3.14 \\ c = 65.94 \ ft[/tex]
[tex]\boxed{Circumference \ = \ 65.94 \ ft}[/tex]
____________________
Value of [tex]\pi [/tex]is taken as 3.14
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
╭═══════ღ❦ღ══╮
[tex] ღRainbowSalt2^{2}2^{2} [/tex]
╰══ღ❦ღ═══════╯
Using the linear combination method, what is the solution to the system of linear equations 5 x + 3 y = negative 10 and Negative 20 x minus 7 y = 15? (–5, 1) (–1, 5) (1, –5) (5, –1)
Answer:
work is shown and pictured
Answer:
The answer is C
Step-by-step explanation:
Find the sum of all solutions to $(4x+3)(x-8)+(x-1)(4x+3)=0$
Answer:
3 3/4
Step-by-step explanation:
(4x+3)(x-8)+(x-1)(4x+3)=0
Factor out 4x+3
(4x+3)( x-8+x-1) =0
Combine terms
(4x+3) ( 2x-9) =0
Using the zero product property
4x+3 = 0 2x-9 =0
4x=-3 2x = 9
x = -3/4 x = 9/2
Sum the solutions
-3/4 + 9/2
-3/4 + 18/4
15/4
3 3/4
PLEASE HELP BRAINLY - which option is correct?
Answer:
[tex]y > \frac{2x}{3} + 1[/tex]
Step-by-step explanation:
Given:
The graph in the attachment where the coordinates are (3,3) and (-3,-1)
Required:
Which inequality represent the graph
The first step is to determine the slope of the graph
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where m represents the slope, [tex](x_1, y_1) = (3,3)[/tex] and [tex](x_2, y_2) = (-3,-1)[/tex]
[tex]m = \frac{-1 - 3}{-3 - 3}[/tex]
[tex]m = \frac{-4}{-6}[/tex]
Simplify to lowest term
[tex]m = \frac{2}{3}[/tex]
Next is to determine the equation of the line using the slope formula
[tex]m = \frac{y - y_1}{x - x_1}[/tex], [tex](x_1, y_1) = (3,3)[/tex] and [tex]m = \frac{2}{3}[/tex]
[tex]\frac{2}{3} = \frac{y - 3}{x - 3}[/tex]
Cross multiply
[tex]2 * (x - 3) = 3 * (y - 3)[/tex]
Open both brackets
[tex]2 x - 6 = 3y -9[/tex]
Collect like terms
[tex]2 x - 6 +9= 3y[/tex]
[tex]2 x+3= 3y[/tex]
Divide through by 3
[tex]\frac{2x}{3} + \frac{3}{3} = \frac{3y}{3}[/tex]
[tex]\frac{2x}{3} + 1 = y[/tex]
Reorder
[tex]y = \frac{2x}{3} + 1[/tex]
Next is to determine the inequality sign
The dotted lines on the graph shows that the inequality sign is either > or <Since the shaded region is the upper part of the graph, then the > inequality sign will be considered,The inequality becomes
[tex]y > \frac{2x}{3} + 1[/tex]
What is 7/35 converted into a decimal??
Answer:
0.2
Step-by-step explanation:
it works out to be 0.2 as a decimal and 20% as a percentage.
Answer:
.2
Step-by-step explanation:
A zookeeper weighed an African elephant to be 9 × 103 pounds and an African lion to be 4 × 102 pounds. How many times greater is the weight of the elephant than the weight of the lion? A. 2.25x 10 B. 5 C. 13x10 D. 3.6x10
Answer:
2.25 x 10
Step-by-step explanation:
In the above question, we were given :
The weight of the Elephant = 9 × 10³ pounds
The weight of the African Lion = 4 × 10² pounds
We would compare both weights to determine which size is bigger
Weight of Elephant : Weight of Lion
9× 10³ : 4 × 10²
= 9 × 10³/4 × 10²
= 2.25 × 10¹
= 2.25 × 10
The weight of the elephant is 2.25 × 10 times greater than the weight of the lion.
Use the zero product property to find the solutions to the equation x2 – 15x – 100 = 0.
Answer:
x= 20 x =-5
Step-by-step explanation:
x^2 – 15x – 100 = 0.
What two numbers multiply to -100 and add to -15
-20 * 5 = -100
-20 +5 = -15
(x-20) (x+5) =0
Using the zero product property
x-20 =0 x+5 = 0
x= 20 x =-5
x = 20 and x = -5
Step-by-step explanation:
x² – 15x – 100 = 0
First, find factors that multiply to get -100 and add to -15.
These factors are -20 and 5.
So we have (x - 20)(x + 5) = 0.
Now use the zero product property to get x - 20 = 0 or x + 5 = 0.
Solving from here, we get x = 20 or x = -5.
What is the midpoint of the line segment with endpoints (3.5, 2.2) and (1.5, -4.8)
Answer:
2.5, -1.8
Step-by-step explanation:
½(x¹+x²) ,½(y¹+y²)
½(3.5+1.5) ,½(2.2+(-4.8)
½(5.0), ½(2.2-4.8)
2.5 ,½(-3.6)
2.5, -1.8
Answer: It’s 2.5, -1.3, the other person must’ve misclicked lol
A professor divided the students in her business class into three groups: those who have never taken a statistics class, those who have taken only one semester of a statistics class, and those who have taken two or more semesters of statistics. The professor randomly assigns students to groups of three to work on a project for the course. Find the requested probability. If 55% of the students have never taken a statistics class, 25% have taken only one semester of a statistics class, and the rest have taken two or more semesters of statistics, what is the probability that the first groupmate you meet has studied some statistics
Answer:
the probability that the first groupmate you meet has studied some statistics is 0.45
Step-by-step explanation:
From the information given :
A professor divided the students in her business class into three groups
Let consider then to be :
Group Statistics Class
A Never taken a statistics class
B Taken one statistics class
C Taken two or more statistics class.
If 55% of the students have never taken a statistics class,
Then ;
P(A) = 0.55
25% have taken only one semester of a statistics class
Then P(B) = 0.25
and the rest have taken two or more semesters of statistics
Then P(C) = 1 - 0.55 -0.25
P(C) = 1 - 0.80
P(C) = 0.20
The objective is to determine the probability that the first groupmate you meet has studied some statistics
The probability of the first groupmate you meet has studied some statistics = 1 - P(never taken a statistics course)
Let the probability of the first groupmate you meet that has studied some statistics be P(D)
Then P(D) = 1 - P(A)
P(D) = 1 - 0.55
P(D) = 0.45
the probability that the first groupmate you meet has studied some statistics is 0.45
Which movie had a greater range of ages of the audience? (Hint: The range is the difference between the max and min values)
Movie A
Movie B
Both about the same
Range = max - min
Visually the min and max are the leftmost and right most points on the whiskers. This is assuming we don't have outliers in either direction. The range represents the total width of the box and whisker plot. For movie B, it is wider, so therefore it has a larger range of ages.
We could compute the ranges numerically and compare to see which is bigger, or we could align one endpoint (say the right endpoints) to see that movie B has a wider range.
Use the graph to evaluate the function below for specific inputs and outputs.
Answer:
g(x)=6 when x=-4
g(x)=-2 when x=3
Answer:
g(x) = 6 when x=-4
g(x)= -2 x=3
Step-by-step explanation:
plz check the graph of g(x) ,
when x= -4, the value of y = 6
when x=3, the value of y =-2
Which property justifies this statement?
If x=3, then x−3=0.
Answer:
Step-by-step explanation:
identitiy property
On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).
Find the distance between points P and Q Round your answer to the nearest whole number.
Answer:
9
Step-by-step explanation:
We can use the distance formula
d = sqrt ( ( y2-y1)^2 + ( x2-x1) ^2)
d = sqrt ( ( 4- -3)^2 + ( -4 -2) ^2)
= sqrt ( ( 7^2 + ( -6)^2)
= sqrt( 49+ 36)
= sqrt(85)
9.219544457
Rounding to the nearest whole number
= 9
Determine whether the data set is a population or a sample. Explain your reasoning. The salary of each teacher in a school. Choose the correct answer below. A. Sample, because it is a collection of salaries for all teachers in the school comma but there are other schools. B. Population, because it is a subset of all schools in the city. C. Sample, because it is a collection of salaries for some teachers in the school. nothing D. Population, because it is a collection of salaries for all teachers in the school.
Answer:
D. Population, because it is a collection of salaries for all teachers in the school.
Step-by-step explanation:
In research, population refers to a complete set of subjects that share a characteristic and that the researcher is interested in. On the other hand, a sample is a subset of a population and it's usually the one the researcher takes to make a study with.
In this example, we have "The salary of each teacher in a school" since we are taking ALL the teachers of this school, this would be a population. If we were working with the salary of only a portion of the teachers of said school, it would be a sample.
Thus, the right answer is D. Population, because it is a collection of salaries for all teachers in the school.
A random sample is drawn from a normally distributed population with mean μ = 31 and standard deviation σ = 1.9. Calculate the probabilities that the sample mean is less than 31.6 for both sample sizes
Answer:
For sample size n = 39 ; P(X < 31.6) = 0.9756
For sample size n = 76 ; P(X < 31.6) = 0.9970
Step-by-step explanation:
Given that:
population mean μ = 31
standard deviation σ = 1.9
sample mean [tex]\overline X[/tex] = 31.6
Sample size n Probability
39
76
The probabilities that the sample mean is less than 31.6 for both sample size can be computed as follows:
For sample size n = 39
[tex]P(X < 31.6) = P(\dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}})[/tex]
[tex]P(X < 31.6) = P(\dfrac{31.6 - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{39}}})[/tex]
[tex]P(X < 31.6) = P(Z< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{39}}})[/tex]
[tex]P(X < 31.6) = P(Z< \dfrac{0.6}{\dfrac{1.9 }{6.245}})[/tex]
[tex]P(X < 31.6) = P(Z< 1.972)[/tex]
From standard normal tables
P(X < 31.6) = 0.9756
For sample size n = 76
[tex]P(X < 31.6) = P(\dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}})[/tex]
[tex]P(X < 31.6) = P(\dfrac{31.6 - \mu}{\dfrac{\sigma }{\sqrt{n}}}< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{76}}})[/tex]
[tex]P(X < 31.6) = P(Z< \dfrac{31.6 - 31}{\dfrac{1.9 }{\sqrt{76}}})[/tex]
[tex]P(X < 31.6) = P(Z< \dfrac{0.6}{\dfrac{1.9 }{8.718}})[/tex]
[tex]P(X < 31.6) = P(Z< 2.75)[/tex]
From standard normal tables
P(X < 31.6) = 0.9970
If the family decreases the clothing budget by 3 percent, what amount will it have to spend on clothing?
nearest dollar
$266
$466
$645
$665
Answer: $466
Step-by-step explanation:
Answer:
b.$466
Step-by-step explanation:
Will mark BRAINIEST. Solve this.
Answer:
3x+7=10x+17
Step-by-step explanation:
1.9
10x
27x
Answers:
Equation is 3x+7 + 10x+17 = 180 (there are infinitely many other ways to write the equation)
x = 12
Angles are 43 and 137
==========================================================
Explanation:
The horizontal lines are parallel, so the same side interior angles marked are supplementary. The angles add to 180
(3x+7) + (10x+17) = 180 is the equation, or one variation of such
13x+24 = 180
13x = 180-24
13x = 156
x = 156/13
x = 12 is the value of x
Use this x value to find the measure of each angle
3x+7 = 3*12+7 = 43
10x+17 = 10*12+17 = 137
The two angles are 43 and 137 degrees
Note how 43 and 137 add to 180.
If a line is perpendicular to each of two intersecting lines at their point of intersection, then the line:
A. not enough information
B. is parallel to the plane determined by the two lines
C. coincides with the plane determined by the two lines
D. is perpendicular to the plane determined by the two lines
D. The line is perpendicular to the plane determined by the two lines.
Remember how you get to 3D space?
You take one axis called x and perpendicularly intersect it with y axis and you get a 2D plane. Now take a 2D plane and perpendicularly intersect it with an axis z and you get 3D euclidean space.
Hope this helps.
Please solve this question for me
x = 65° and y = 77.5°.
Step-by-step explanation:The triangle with the 50 degree angle and x, is an isosceles triangle. That means that the other unlabeled angle is also equal to x degrees.
x + x + 50 = 180
2x + 50 = 180
2x = 130
x = 65°.
Since x = 65 degrees, and the two angles make a 90 degree angle, the other unlabeled angle will be 90 - 65 = 25 degrees.
Since the other triangle is also isosceles, that triangle has two angles that measure y degrees and one angle measuring 25 degrees.
y + y + 25 = 180
2y + 25 = 180
2y = 155
y = 77.5°.
Hope this helps!
find the value of b here
Answer:
Step-by-step explanation:
We will start with the angle that measures 57 degrees. This angle is supplementary to the one next to it coming off the straight line. 180 - 57 = 123.
The rule for quadrilaterals is that same side angles are supplementary, so the angle next to the 123-degree angle (to the immediate left of that angle 123) is 57. THAT 57-degree angle is supplementary to angle b, so angle b = 180 - 57 which is 123. So C is your answer.
Answer:
do you think you can send me the work for the program
Step-by-step explanation:
i got 1 day left and im not close to finishing it please help me out please respond with any way to contact you thanks
The slope of the line is -5/7. Write a point-slope equation of the line using the coordinates of the labeled point
Answer:
The answer is C.
Step-by-step explanation:
The formula to find equation is y - y1 = m(x - x1).
Let (x1,y1) be (6,2) and m is -5/7.
So the equation is,
y - 2 = -5/7(x - 6)
elp me BROS! its GEOMETRY 10 points REWarded, best answer gets BRAILIEST!
Answer:
Arc BD is 6.1 degrees
Step-by-step explanation:
So if 5.7 is in miles, the observer is 30096 feet above sea level, cruising height.
Solution.
Segment BC and DC are tangent to the circle,
so angles CBA and CDA are 90 degrees, hence
Triangles CBA and CDA are right triangles,
with
AC = 4005.7 miles
cos CAB = AB/AC = 4000/4005.7 = 0.9985770
angle BCA = arc cos(0.9985770) = 3.057 degrees
Arc BD = central angle BAD = 2*angle BCA = 6.114 degrees
Answer:
Step-by-step explanation:
i really just need points on my thingy so eh bye
A simple random sample of 49 8th graders at a large suburban middle school indicated that 82% of them are involved with some type of after school activity. Find the 99% confidence interval that estimates the proportion of them that are involved in an after school activity.
Answer:
0.142
Step-by-step explanation:
From the question, we identify the following parameters;
n = 49
p = 82% = 82/100 = 0.82
alpha, α = 1-0.99 = 0.01
Zα/2 = Z_0.005 = 2.575
margin of error = Zα/2 * √( p(1-p)/n)
Margin of error = 2.575 * √(0.82)(1-0.82)/49
Margin of error =0.1416005 which is approximately 0.142
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x)=x-2
g(x) = 2x+2
Write the expressions for (f-g)(x) and (f.g)(x) and evaluate (f+g)(-1).
Answer:
(f-g)(x)= -x-4
(f.g)(x)= 2x^2 -2x-4
(f+g)(-1) = 3(-1) = -3
Step-by-step explanation:
Hi, to answer this question we have to solve the expressions:
(f-g)(x) = x-2 -(2x+2)
(f-g)(x)= x-2 -2x-2
(f-g)(x) = -2x+x-2-2
(f-g)(x)= -x-4
(f.g)(x) = x-2 (2x+2)
(f.g)(x)= 2x^2 +2x-4x-4
(f.g)(x)= 2x^2 -2x-4
(f+g)(x)= x-2 +2x+2
(f+g)(x) = x+2x-2+2
(f+g)(x)= 3x
(f+g)(-1) = 3(-1) = -3
Feel free to ask for more if needed or if you did not understand something.
find the equation of a circle which passes through the point (2,-2) and (3,4) and whose centre lies on the line x+y=2
Answer:
Equation of the circle
(x - 0.7)² + (y - 1.3)² = 12.58
Step-by-step explanation:
The formula for the equation of a circle is given as:
(x - a)² + (y - b)² = r²,
where(a, b) is the center of the circle and r = radius of the circle.
a) We are told in the question that the equation of the circle passes through point(2, -2)
Hence,
Substituting 2 for x and -2 for y in the equation of the circle.
(x - a)² + (y - b)² = r²
(2 - a)² +(-2 - b)² = r²
Expanding the bracket
(2 - a) (2 - a) + (-2 - b)(-2 - b) = r²
4 - 2a - 2a +a² +4 +2b +2b +b² = r²
4 - 4a + a² + 4 + 4b + b² = r²
a² + b² -4a + 4b + 4 + 4 = r²
a² + b² -4a + 4b + 8 = r²............Equation 1
We are also told that the equation of the circle also passes through point (3,4) also, where 3 = x and 4 = y
Hence,
Substituting 3 for x and 4 for y in the equation of the circle.
(x - a)² + (y - b)² = r²
(3 - a)² +(4 - b)² = r²
Expanding the bracket
(3 - a) (3 - a) + (4 - b)(4- b) = r²
9 - 3a - 3a +a² +16 -4b -4b +b² = r²
9 -6a + a² + 16 -8b + b² = r²
a² + b² -6a -8b + 9 + 16 = r²
a² + b² -6a -8b + 25 = r²..........Equation 2
The next step would be to subtract Equation 1 from Equation 2
a² + b² -4a + 4b + 8 - (a² + b² -6a -8b + 25) = r² - r²
a² + b² -4a + 4b + 8 - a² - b² +6a +8b - -25= r² - r²
Collecting like terms
a² - a² + b² - b² - 4a + 6a + 4b + 8b +8- 25 = 0
2a + 12b -17 = 0
2a + 12b = 17...........Equation 3
Step 2
We are going to have to find the values of a and b in other to get our equation of the circle.
Since the center of the circle(a, b) lies on x + y = 2
Therefore, we have
a + b = 2
a = 2 - b
2a + 12b = 17 ..........Equation 3
Substituting 2 - b for a in
2(2 - b) + 12b = 17
4 - 2b + 12b = 17
4 + 10b = 17
10b = 17 - 4
10b = 13
b = 13/10
b = 1.3
Substituting 1.3 for b in
a + b = 2
a + 1.3 = 2
a = 2 - 1.3
a = 0.7
hence, a = 0.7, b = 1.3
Step 3
We have to find the value of r using points (2, -2)
(x - a)² + (y - b)² = r²
Where x = 2 and y = -2
(-2 - 0.7)² + (-2 - 1.3)² = r²
(-2.7)² + (-3.3)² = r²
1.69 + 10.89 = r²
r² = 12.58
r = √12.58 = 3.55
Step 4
The formula for the equation of a circle is given as:
(x - a)² + (y - b)² = r²,
where(a, b) is the center of the circle and r = radius of the circle
a = 0.7
b = 1.3
r² = 12.58
Equation of the circle =
(x - 0.7)² + (y - 1.3)² = 12.58
5 (x+4)=35.please solve it for me
Answer:
3 = x
Step-by-step explanation:
5(x+4) = 35
distribute: 5x + 20 = 35
subtract 20 to both sides
15 = 5x
divide by 5 to make x independent
x=3
An exponential growth function has a base that is____one?
Please help
Answer:
greater than
Step-by-step explanation:
An exponential growth function has a base that is__greater than__one.
If the base is less than one, it will be a decay function.
Note: the above assumes an exponent greater than one as well.
A bridge is shown. A quadrilateral is outlined. It has one pair of opposite sides that is parallel. Which best describes the structure outlined in the bridge. It is a parallelogram because it has one pair of opposite sides that is parallel. It is a parallelogram because it has exactly one pair of opposite sides that is congruent. It is a trapezoid because it has exactly one pair of opposite sides that is congruent. It is a trapezoid because it has exactly one pair of opposite sides that is parallel.
Answer:
It is a trapezoid because it has exactly one pair of opposite sides that is parallel.
Step-by-step explanation:
D
dont worry its right
happy learning