Answer:
z=20
Step-by-step explanation:
(2z + 16) +124 =180
2z + 16 +124
2z + 140 = 180
2z -140 -140
2z = 40
z = 20
Plz help me out thanks
Answer:
360 cubic units
Step-by-step explanation:
height = 4 units
length = 10 units
breadth = 6 units
Volume of a cuboid = l × b × h
V = 10 × 6 × 4
V = 10 × 24
V = 240 cubic units
Now a scale factor of 1.5 units is applied to the dimensions,
new volume = 240 × 1.5 = 360
∴ New volume of the prism = 360 cubic units
Answer:
240 cubic units
Step-by-step explanation:
A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide. If all the ice melted in the cup, would it overow?
If the ice melt in the cone shaped cup, it won't overow because the volume of the cone shaped cup is greater than the volume of the snowcone ice.
The snowcone is a sphere.
Volume of a spherevolume = 4 / 3πr³
where
r = radiusTherefore,
volume of the snowcone = 4 / 3 × π × 4³
volume of the snowcone = 256 π/ 3 = 85.33π
Therefore, the volume of the cone canbe found as follows:
volume of the cone shaped paper = 1 / 3 πr²h
h = 12 cm
r = 6cm
volume of the cone shaped paper = 1 / 3 × π × 6² × 12
volume of the cone shaped paper = 144π
Therefore, let find if the ice melt in the cone whether it will overow.
144π - 85.33π = 58.67π
Therefore, the volume of the cone shaped paper is greater than the volume of the snowcone ice . This means that if the ice melt in the cup , it won't overow.
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Solve for [tex]x:logx 37 = 2[/tex]
x^2=37 ===》 x = + radical 37( acceptable )
===》 x = - radical 37(unacceptable)
30% of the scholars are working as stagehands. 35 scholars are actors and actresses. How many students in total are in the school play, acting and working behind the scene?
Answer:
There are 50 students in total in the school play, acting and working behind the scene.
Step-by-step explanation:
Since the statement indicates that 30% of the scholars are working as stagehands, you can subtract this from 100% that represents the total amount of student in the school play to find the percentage that are actors and actresses:
100%-30%=70%
Now, as you know that 70% of the students are actors and actresses and the statement indicates that they are 35, you can use a rule of three to find the amount of students that represent 100%:
70% → 35
100% → x
x=(100*35)/70
x=50
According to this, the answer is that there are 50 students in total in the school play, acting and working behind the scene.
hii please help i’ll give brainliest
Answer:
H
Step-by-step explanation:
the point H is (-3, 2) which fits the requirements
Destiny makes earrings and bracelets to sell. She makes a profit of $15 for
every pair of earrings she sells and a $12 profit for every bracelet she sells
The cost of making one pair of earrings is $4 and the cost of making one
bracelet is $6. She only has $36 she can spend this week to make her
merchandise. She knows she wants to make at least 8 pieces of
merchandise to sell this week. What is the maximum profit she can make
based on these constraints? (If you do not have access to graph paper to
complete this problem, you can use Desmos to graph the constraints.
Remember the steps, 1. Define Variables, 2. List Constraints, 3. Graph and
shade feasible region, 4. Plug in vertices to objective function to find
maximum profit) *
Answer:
$135
Step-by-step explanation:
She would make 9 pairs of earrings, they have the least cost and the highest profit. No other combination would yield a higher profit.
Describe exponential growth in word problem and with graph
Please help me
Answer:
y = a 2 d x + k y=a2^{dx}+k y=a2dx+k
Step-by-step explanation:
Determine the exponential function in the form y = a 2 d x + k y=a2^{dx}+k y=a2dx+k of the given graph. To solve this problem, we're going to need to find the variables "a", "d", and "k". Remember, we can find "k" from the graph, as it is the horizontal asymptote.
What is the answer to this multi step equation 3(x-4)=2(-2x+1)
Answer:
2
Step-by-step explanation:
3(x-4)=2(-2x+1)
3x-12=-4x+2
3x-(-4x)-12=2
3x+4x=2+12
7x=14
x=14/7
x=2
The diameter of a hula hoop is 36 inches. Find the area enclosed by the hoop in sq. inches.
The following is based on information from The Wolf in the Southwest: The making of an Endangered Species by David E. Brown ( University of Arizona Press). Before 1918the proportion of female wolves in the general population of all southwestern wolves wasabout 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 34 wolves, there were only 10 females. One theoryis that male wolves tend to return sooner than females to their old territories where their predecessors were exterminated. Do these data indicate that the populationproportion of female wolvesis now less than 50% in the region?
This question is incomplete, the complete question is;
The following is based on information from The Wolf in the Southwest: The making of an Endangered Species by David E. Brown ( University of Arizona Press). Before 1918the proportion of female wolves in the general population of all southwestern wolves was about 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 34 wolves, there were only 10 females. One theory is that male wolves tend to return sooner than females to their old territories where their predecessors were exterminated. Do these data indicate that the population proportion of female wolves is now less than 50% in the region? Use ∝ = 0.01
Answer:
Since p-value (0.0082) < ∝ ( 0.01 ), we reject null hypothesis.
Therefore, at 0.01 significance level, we have sufficient evidence that the population proportion of female wolves is now less than ( 0.5 ) 50% in the region.
Step-by-step explanation:
Given the data in the question;
Hypothesis;
H₀ : p ≥ 0.5 { 50% }
H₁ : p < 0.5
This is a lower tailed test { H₁ : p < 0.5 }
sample size n = 34
number of female wolves x = 10
sample proportion p" = x / n = 10 / 34 = 0.2941176
claimed proportion P = 0.5
significance level ∝ = 0.01
we determine the standard deviation of p"
σ[tex]_{p"[/tex] = √[ (p(1 - p)) / n ] = √[ (0.5(1 - 0.5)) / 34 ]
= √[ (0.5 ×0.5) / 34 ]
σ[tex]_{p"[/tex] = 0.08575
Test statistics
[tex]z_{observed[/tex] = (p" - 0.5) / σ[tex]_{p"[/tex]
[tex]z_{observed[/tex] = (0.2941176 - 0.5) / 0.08575
[tex]z_{observed[/tex] = -2.40
so
Test statistic : -2.40
Since its a lower tailed test;
P-value = P( Z < [tex]z_{observed[/tex] ) = P( Z < -2.40 ) = 0.0082
Rejection criteria: Reject H₀ if p-value < ∝
Decision:
Since p-value (0.0082) < ∝ ( 0.01 ), we reject null hypothesis.
Therefore, at 0.01 significance level, we have sufficient evidence that the population proportion of of female wolves is now less than ( 0.5 ) 50% in the region.
how do you solve this?
Answer:
x=110(by vertical opposite angle)
Suppose that y varies directly with x
and y=
= 10 when x = 20. What is y
when x = 15?
Be sure to simplify your answer.
Answer:
[tex]10 \times 2 = 20 \\ 5 \times 3 = 15[/tex]
answer:10×2=20
5×3=15
Answer:
y = 7.5
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 10 when x = 20
10 = 20k ( divide both sides by 20 )
[tex]\frac{1}{2}[/tex] = k
y = [tex]\frac{1}{2}[/tex] x ← equation of variation
When x = 15 , then
y = [tex]\frac{1}{2}[/tex] × 15 = [tex]\frac{15}{2}[/tex] = 7.5
You were given 10 math problems for homework. You completed 6/10 of them at school. Which equation shows how to find the fraction of the problems you still need to do to complete your homework?
Answer:
Step-by-step explanation:
1 10
Given g(x) is an exponential function
shown in the graph, what is most likely
the asymptote of the function?
Answer:y=-3
Step-by-step explanation:
The value of the asymptote of the function is,
⇒ y = - 3
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
g(x) is an exponential function shown in the graph.
We know that;
On the graph of an exponential function, the asymptote is usually the x-axis or the line y = 0.
Hence, From graph,
The value of the asymptote of the function is,
⇒ y = - 3
Thus, he value of the asymptote of the function is,
⇒ y = - 3
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Rayyan shares Rs 2000 between his two friends Anas and Ahsan. The ratio of Anas’s share to Ahsan’s share is 6:4
How much money do they each receive?
Answer:
Anas= RS 1200
Ahsan= RS 800
Step-by-step explanation:
Given data
Amount= Rs 2000
Ration= 6:4
Combined ratio = 6+4= 10
Let us apply the part to all method to solve for the individual amount
For Anas
2000/10= x/6
cross multiply
10x= 2000*6
10x= 12000
x= 12000/10
x= 1200
For Ahsan
2000/10= x/4
cross multiply
10x= 2000*4
10x= 8000
x= 8000/10
x= 800
Find the missing angle measure.
52
Answer:
128
Step-by-step explanation:
Sum of interior angles of a 4 sided quadrilateral is 360.
90 + 90 + 52 + x = 360
232 + x = 360
x = 360 - 232
x = 128
A person is standing 215 feet above the ocean
watching a ship come in. Initially the angle of elevation
from the boat to the person is 31 degrees. After
traveling towards the person for a few minutes, then
angle is 48 degrees. How far did the boat travel
between the two points? Round to the nearest foot.
Answer:
Step-by-step explanation: I don’t know I just want my extra points
Answer: 164 ft
Step-by-step explanation:
tan 48=215/x
-> x.tan48=215
->x =215/tan 48
->x = 193.6
tan 31=215/y
-> y.tan31 = 215
-> y= 215/ tan 31
-> y= 357.82
BC= y-x
= 357.82-193.6
= 164.22 = 164 ft
the principal likes to keep the ratio of students to teachers at 24:1 if he has hired 32 teachers then how many students are expected to enroll
Answer:
768 students are expected to enroll
Step-by-step explanation:
24 : 1
? : 32
24 times 32 = 768
A trout swam at a steady speed for 1.5minutes. It swam 9,900 centimeters in that time. What was its speed?
Answer:
6,600 cm per minute
Step-by-step explanation:
I got 6,600 by taking 9,900 divided by 1.5 minutes because it took the trout 1.5 minutes to swim 6,600 cm. 9,900/1.5= 6,600. So, the trouts was swimming at a speed of 6,600 cm per minutes.
which expression is equivalent to 189 1/5 -(-22 2/5)-(-40 1/5),
Answer:
[tex]251 \frac{4}{5}[/tex] or [tex]\frac{1259}{5}[/tex]
If a boat goes down stream 72 milesind upstream 60 miles in 6 hours, the rate of the river and the rate of the boat in still water respectively are
Answer:
Speed of boat in still water = 11 miles per hour.
Step-by-step explanation:
Speed = distance / time
or
Distance= Speed * time
Let s be speed of the boat upstream and r be the speed of the river.
Then
Upstream speed= s- r = 60/6= 10 miles per hour
Downstream speed= s+r= 72/6= 12 miles per hour
Therefore
s-r= 10--------- equation A
s+r= 12--------- equation B
Adding equation A and Eq. b
s-r= 10--------- equation A
s+r= 12--------- equation B
2s = 22
or
s= 22/2= 11 miles per hour.
Speed of boat in still water = 11 miles per hour.
At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars, d. Which equation represents the earnings of the bake sale?
Correct Question:
At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars, d. Which equation represents the earnings of the bake sale?
1. p = 5d
2. d = p + 5
3. d = 5p
Answer:
3. d = 5p
Step-by-step explanation:
As one plate of cookies price is 5 $
The d is expressed as numbers of dollars which are earned.
Earnings = d = 5 x number of plates sold (p)
therefore
d = 5p
Answer:
d+p5
Step-by-step explanation:
Gina is four years younger
than twice David's age. Gina
is 18. How old is David?
Answer:
44
Step-by-step explanation:
Gina is four years younger so
18+4=22
since its twice davids age
22×2=44
find the gradient of the line segement between the points (0,-6) and (2,-16)
answer = 5
Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:
A line is increasing, and goes upwards from left to right when m > 0
A line is decreasing, and goes downwards from left to right when m < 0
A line has a constant slope, and is horizontal when m = 0
A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.
Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:
m =
y2 - y1
x2 - x1
Which exponential expression is equivalent to the one below? (6x3)^5
Answer:
Hi! The answer to your question is D. [tex]6^5 * 3^5[/tex]
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!!
- Brooklynn Deka
need help with this will give more points if you want
a man borrows money 800 for 2 years at a simple interest rate 20%. what is the total amount that must be repaid?
Answer:
3200
Step-by-step explanation:
Simple interest = [ (Principle x Rate x time) /100 ]
Substitute all values: (800 x 2 x 20)/100 = 3200
Hope this helps
Answer:
1120
A=p+I I = prt/100=800x20x2/100=320
A= P+I=800+320=1120
Check out the image
Answer:
oop, okay
Step-by-step explanation:
Answer:
twitter should work
go on it but also other websites so when you go to delete your history (ctrl h on chrome) it'll match up
example: go on twitter at 2:25 but also some other websites and switch back until 2:26 go back on and then other websites
Step-by-step explanation:
Patriciodeposits $500 in the same account that pays a 1.5% simple interest he does not withdraw any money from the account any makes no other deposits how much money does Patricio happiness saving account after 5 years
Answer: $537.5
Step-by-step explanation:
$500 at 1.5% for 5 years
p x r x t = i
500 x 0.015 x 5= 37.5
37.5+500=537.5
Find the perimeter of this shape please help I will award brainlisest
Answer:
22 cm
Step-by-step explanation:
Answer:
The shape is made up of a square and a rectangle.
So calculating the area of both the figures and then adding them would give us the required result.
Area of square = (a)² = (4)² = 16 sq unit.
Area of rectangle = l×b = 3×2 = 6 sq unit.
Now, the required area = 16 + 6 = 22 sq unit.