The table represents the quadratic function h(x)
The range of the quadratic function is (d) all real numbers greater than or equal to -8
How to determine the range?The range of the quadratic function is the list of the function ouput values.
From the table, we have:
The smallest output value is -8
Assume this is the vertex of the quadratic function, the range of the quadratic function would be (d) all real numbers greater than or equal to -8
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Use the Pythagorean Theorem to determine if a triangle with side lengths √2 ft., √3 ft., √5ft. is a right triangle.
A:) Yes it is a right triangle
B:) No it is not a right triangle
Answer:
A:) Yes it is a right triangle
Step-by-step explanation:
[tex]~~~~\left(\sqrt{5} \right)^2= \left(\sqrt{2} \right)^2+\left(\sqrt{3} \right)^2\\\\\implies 5=2+3\\\\\implies 5=5[/tex]
Answer:
A
Step-by-step explanation:
using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = [tex]\sqrt{5}[/tex] , and ([tex]\sqrt{5}[/tex] )² = 5
([tex]\sqrt{2}[/tex] )² + ([tex]\sqrt{3}[/tex] )² = 2 + 3 = 5
Thus the 3 sides form a triangle
PLEASE ANSWER! (4 - QUESTIONS) 50 POINTS + WILL RECEIVE BRAINLIEST!
1. The volume of a cylinder is 461.58 cubic inches. If the cylinder has a height of 3 units, what is the radius of the cylinder? Use 3.14 for pi.
2. Find the volume of the cone that has a height of 12 and diameter of 12. Use 3.14 for pi. Round your answer to the nearest tenths place.
3. Find the volume of the hemisphere that has a radius of 7 inches. Use 3.14 for pi. Round your answer to the nearest hundredth.
4. The volume of a sphere is 407.51 cubic units. What is the diameter of the sphere?
The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
a) Volume of cylinder = π * radius² * height
461.58 = 3.14 * radius² * 3
radius = 7 in
b) Volume of cone = (1/3) * π * radius² * height
Volume = (1/3) * 3.14 * (12/2)² * 12
Volume = 452.2 unit³
c) Volume of sphere = (4/3) π * radius³
Volume of sphere = (4/3) * 3.14 * 7³
Volume = 1436 in³
d) Volume of sphere = (4/3) π * radius³
407.51 = (4/3) * 3.14 * radius³
Radius = 7.3
Diameter = 14.6 units
The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units
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Given A= (-3,6) and B=(10,-8) what is the length of AB
[tex]\text{Given that,}\\\\A(x_1,y_1) = (-3,6)~~ \text{and}~ B(x_2,y_2) =(10,-8)\\\\AB = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~=\sqrt{(10+3)^2 + (-8-6)^2}\\\\~~~~~=\sqrt{13^2 + 14^2}\\\\~~~~~=\sqrt{365}\\\\~~~~~=19.105~ units[/tex]
find the exact value of 2sin30 cos30
Answer:
[tex]\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
Let's take a look at the unit circle below.
Remmeber that cos represents the x-value and that sin represents the y-value.
We see that:
[tex]sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}[/tex]
Now we just multiply all the together and we get:
[tex]2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}[/tex]
Compare million, billion, and trillion. What is the largest number among them? What is the smallest number among them?
2 Demi teaches drum classes. The equation B = 50t gives the dollar amount she earns as a function of the time in hours she teaches. Demi also takes spin classes. The graph shows how much she has left on a gift card as a function of the time in hours Demi is in class. Does Demi earn more teaching 1 hour of drum class or spend more taking 1 hour of spin class? Show your work.
The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.
What is the Slope intercept form?The equation of a straight line whose slope and y-intercept are given. Suppose a non-vertical line has a gradient or slope of m and y-intercept equal to c. Let (x, y) be any point on the line and a line intersect the y-axis at the point (0, c).
y = mx + c
Using the slope-intercept form (y = mx + b) to find the function of the graph,
B = -100/5t + 500
Or B = -20t + 500.
After 1 hr or t = 1 Demi earns B = 50(1) or $50 teaching
After 1 hr or t = 1 Demi spends B = -20(1)
-$20 on spin class.
If it’s asking just the rate of increase or decrease, the slope of 50t is greater than the slope of -20t.
Thus, The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.
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Aline passes through the points (3,18) and (8,23). Write a linear function rule in terms of x and y for
this line.
The linear function rule is y=
Answer:
y= x+15
Step-by-step explanation:
I am pretty sure this answer is right
M= slope
B= the Y-intercept
I used a graphing calculator to figure this out
The slope is 1/1 with equals 1
and the y intercept is at (0,15) whitch we just use 15
plug them in and you get
y= x+ 15
(Don't need the 1 is frount of x)
A college student was offered two different summer jobs. Job A would last 20 weeks and pay $300
per week with weekly raises of $10. Job B would last 5 months and pay $1200 per month, with monthly
raises of 10% of the previous month's salary. How much more would the college student earn by
accepting Job A?
Answer:
600yan lang po thank you
Answer:
$574
Step-by-step explanation:
[tex]\begin{aligned}\text { week } 1=w_{1} &=300 \\w_{2} &=300+10=310 \\w_{3} &=310+10=320=300+2 \times(10)\end{aligned}[/tex]
It’s obvious here that we add 10 each time to get the next week’s payment so we Are dealing an arithmetic sequence where its first term is 300 and its
Common difference is 10
Then In the twentieth week the payment will be :
[tex]\begin{aligned}W_{20} &=w_{1}+(20-1) \times(10) \\&=300+19 \times(10) \\&=490\end{aligned}[/tex]
Now we apply the formula for the sum of Consecutives terms of an arithmetic sequence :
[tex]\begin{aligned}S_{1} &=20 \times\left(\frac{w_{1}+w_{20}}{2}\right) \\&=20 \times\left(\frac{300+490}{2}\right) \\&=7900\end{aligned}[/tex]
Now let move on to Job B:
[tex]\\\\\begin{aligned}\text { month1 }=& m_{1}=1200 \\m_{2} &=1200+1200 \times \frac{10}{100}=1200 \times(1,1)=1320 \\m_{3} &=m_{2} \times(1,1)=\left[m_{1} \times(1,1)\right] \times(1,1)=m_{1} \times(1,1)^{2} \\m_{4} &=m_{1} \times(1,1)^{3} \\m_{5} &=m_{1} \times(1,1)^{4}\end{aligned}[/tex]
It’s obvious here that we multiply by (1.1) each time to get the next month’s payment so we Are dealing a geometric sequence where its first term is 1200 and its Common ratio is 1.1
Now we apply the formula for the sum of Consecutives terms of an geometric sequence :
[tex]\begin{array}{l}S_{2}=m_{1} \times\left(\frac{1-1,1^{5}}{1-1,1}\right) \\\approx 7326\end{array}[/tex]
Finally we can say confidently say that he would earn more :
7900 - 7326 = $574.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
60 sq m
Step-by-step explanation:
Area of the figure
= Area of top rectangle + Are of the bottom rectangle
= 5*3 + 5*(3+3+3)
= 15 + 5*9
= 15 + 45
= 60 sq m
Answer:
60 m²
Step-by-step explanation:
Area of the figure
= Top rectangle vertical + Bottom rectangle horizontal
= 3 x 5 + 5 x 9
= 15 + 45
= 60 m²
a number is greater than 12
Answer:
anything above 12
Step-by-step explanation:
would be greater than 12. 13, 14, 16...etc
Answer:
n > 12
Step-by-step explanation:
Represent the number by n. Then "a number is greater than 12" expressed symbolically is n > 12.
What’s is the right answer choice to the picture.
Q has coordinates
(2,-4)P is 6units left
P(2-6,-4)=(-4,-4)R is 7units up
R(2,-4+7)R(2,3)Option B
Answer:
B) P (-4, 4) and R (2, 3)
Step-by-step explanation:
Q = (2, -4)
If ΔPQR is a right triangle, then
Missing point 1 will be on the x = 2 lineMissing point 2 will be on the y = -4 lineIf PQ is 6 units, then
P = (2-6, -4) = (-4, -4) or
P = (2, -4+6) = (2, 2)
If QR is 7 units, then
R = (2-7, -4) = (-5, -4) or
R = (2, -4+7) = (2, 3)
Therefore, P (-4, 4) and R (2, 3)
Marco travels from his house to the beach. The total distance he travels
is 120 miles. In the first hour, Marco traveled 54 miles. What percent of
the distance did he travel the first hour?
Answer:
45%
Step-by-step explanation:
Since he drove 54 miles out of 120 in the first hour, the equation for this would be 54/120×100. This equals 45 and that is the percentage
What's the q1 and q2????
Answer:
Q1-298
Q2-422
Step-by-step explanation:
Tanya's father travels every week for business. He has traveled around the
world many times. Over the past 10 years, he has accumulated approximately
460,000 frequent flyer miles. How is that number expressed in scientific
notation?
A. 4.6 × 103
B. 4.6 × 10 4
C. 4.6 × 10 5
D. 46 × 10 5
The correct answer would be: 4.6 x 10^5
Please help, I am struggling with this. Question is in image.
Answer:
-7 15/17. 49 sq. 7.7 187/24
Step-by-step explanation:
thats the order least to greatest 187/24= 7.79 and 49 sq = 7
In a survey, 125 people were asked to chose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 3
.
Answer:
There is no table, so I'll just calculate the theoretical.
125/5=25.
So, 20% to get a card with the number 3
angle properties pls help
Answer: Which question I’ll do a
Step-by-step explanation:
Since it is turned into an 100 degree angle you do length times width and you will get your answer 90 degrees
Was this helpful
please help me solve this?
Answer:
there are none (sorry if I got it wrong)
Step-by-step explanation:
also, there is none because there other numbers are really close to the other number
outliers are a number that is really small in the pack of numbers and outliers can also be the number that is really big for example I have the numbers 3 24 28 32 43 and then 100. 3 and 100 are outliers because one number (3) is really small from the other numbers are bigger and one number (100) is really big from the other number but sometimes there are no outliers
A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the balloon is 20 feet. The balloon continues to rise at the same rate. Which table shows the relationship between the time in seconds, x, and the height of the balloon in feet, y?
The constant rate = 20 ft / 5 seconds = 4 feet per second
Find the chart that shows an increase of 4 feet for every second the balloon travels.
The height of the balloon over time is modeled by the linear equation y = 4x, so, the accurate choice is option D.
What are linear equations?A linear equation arises when multiple variables are connected, resulting in a linear model when graphed. This model is characterized by having a degree of one for each variable involved.
Imagine a hot air balloon taking off from the ground, ascending at a consistent speed. After 5 seconds, its altitude reaches 20 feet. The balloon maintains this rate of ascent.
The rate per second is calculated as follows:
m = 20/ 5
m = 4 ft/sec
Consequently, the equation is formulated as:
y = 4x
For x = 10 seconds, the corresponding y value will be:
y = 4 × 10
y = 40 ft
Similarly, for
x = 20 seconds:
y = 4 × 20
y = 80 ft
Hence, the linear equation representing the balloon's height over time is
y = 4x. The accurate option among the choices is D.
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A regular octagon has an apothem of approximately 4.0 cm and a perimeter of approximately 26.4 cm. Find the area of the octagon.
Answer:
[tex]52.8cm^{2}[/tex]
Step-by-step explanation:
Perimeter = 26.4 cm
Apothem = 4.0 cm
The area of an regular octagon can be defined as the [tex]\frac{perimeter*apothem}{2}[/tex]
when we plug in our values we get the equation [tex]\frac{26.4cm*4.0cm}{2}=52.8cm^{2}[/tex]
Max was browsing Amazon on his phone and decided to purchase the newest Adidas shoes. He bought
them for $280. Unfortunately, a newer version was released a week later and his shoes began depreciating
in value rapidly. Every week the value of the shoes decreases by 8%. how much will the shoes be worth
in 2 months (8 weeks)?
Answer:
$143.70
Step-by-step explanation:
The multiplier of value each week is (1 -8%) = 0.92. After 8 weeks, the original value will have been multiplied by 0.92^8.
__
The value of the shoes after 8 weeks is ...
$280(0.92^8) ≈ $143.70
The sequence below is arithmetic:
{3, -6, -15,-24}
True
False
Answer:
True
Step-by-step explanation:
For the sequence to be arithmetic there must be a common difference d between consecutive terms.
a₂ - a₁ = - 6 - 3 = - 9
a₃ - a₂ = - 15 - (- 6) = - 15 + 6 = - 9
a₄ - a₃ = - 24 - (- 15) = - 24 + 15 = - 9
There is a common diffence between consecutive terms, thus the sequence is arithmetic.
Solve for x. Please help and please show work, thanks!
Answer: 5
Step-by-step explanation:
We can use ratios / proportions to solve for x. I am going to have the shorter segment on the top of our fractions (the numerator), and the longer segments on the bottom (the denominator).
[tex]\frac{10}{10+12} =\frac{4x-5}{33}[/tex]
[tex]\frac{10}{22} =\frac{4x-5}{33}[/tex]
Now I am going to cross multiply:
10 * 33 = 22(4x - 5)
330 = 88x - 110
440 = 88x
5 = x
x = 5
Choose the correct answer in each number.
1. It is the sum of all areas of lateral faces
and bases of solid figure.
A. Base area B. Lateral area C. Surface area D. None of the above
2. A flat pattern that you can fold to form a solid figure is called a/an _____.
A. Area B. Edge C. Face D. Net
3. The surface area of a cube is _____ times the area of its face.
A. Three B. Four C. Five D. Six
4. In a cylinder, the edge or length of the lateral surface is equal to _____ of its base.
A. Circumference B. Perimeter C. Radius D. All of the above
5. The lateral surface of a cylinder when it is unrolled will be _____
A. Rectangle B. Trapezoid C. Triangle D. All of the above
6. The solid figure that has surface area equivalent to for times the areas of circles of the same radii is _____.
A. Cube B. Cone C. Tetrahedron D. Sphere
7. To get the lateral area of a cone, we use the formula _____.
A. L.A.=πr2 B. L.A.=πrs C. L.A.=πrh D. L.A.=rh
8. The sum of the area of the square base and four triangular lateral faces is the surface area of _____.
A. Cube B. Rectangular prism C. Pyramid D. Cone
9. The unit for surface area is _____.
A. Cubic unit B. Linear unit C. Square unit D. Weight unit
10. A cone has a radius of 5 cm and slant height of 7.1 cm. What is the unit of measure appreciate for its surface area?
A. Square milimiter (mm2) B. Square centimeter (cm2) C. Square decimeter (dm2) D. Square meter (m2)
Answer:
A
B
A
C
D
C
A
B
B
D
Step-by-step explanation:
please find the area
Answer:
254.34 m²
Step-by-step explanation:
The formula used to find the area of a circle is π · r².
The radius of a circle is half of it's diameter.
Using the given values, we can solve:
3.14 · 9²
3.14 · 81
= 254.34 m²
hope this helps!
Answer:
Area = 254.469004940773 m²
Step-by-step explanation:
formula : (area of a circle)
Area = π × r²
where r is the radius of the circle
[tex]\large \text r = \frac{\large \text Diameter \ of \ the \ circle }{2} = \frac{18}{2} =9\ m[/tex]
then
Area = π × 9²
= π × 81
= 254.469004940773 m²
find the area with 4cm, 8cm, 16cm
Answer:
u cant find the area if you dont add a picture or say if the cm is the width or the lenth.
L BOZO
Step-by-step explanation:
Answer:
PLEASE ADD PICTURE OR NOT ANSWER!
Step-by-step explanation:
We don’t know the problem. Pls apply it.
before getting to school john has a few errands to run john has to walk 5 blocks to the galley and 9 blocks to the library before walking the final 7 blocks to arrive at school if john has already walked 12 blocks how many more blocks must he walked before arriving school
Answer:
9 blocks
Step-by-step explanation:
The total of what John has already walked and the number more he must walk will be equal to the number he has to walk to get to school.
12 + more = 5 + 9 + 7
more = 9 + 5 + 7 - 12 . . . . . subtract 12 from both sides
more = 9
John must walk 9 blocks more.
_____
We recognize that 5+7 = 12, so that last part of the sum totals zero.
Please help me ASAP.
The 3 inside angles of a triangle need to equal 180.
X = 180 - 70 - 20 = 90
x = 90 degrees
A pillar is fixed in the centre of a circular meadow with diameter of 60 metres. The angle of elevation of its top was found to be 60%, when observed from a point of the circumference of circular meadow. Find the height of the pillar from the ground.
Answer:
17 meters
Step-by-step explanation:
|\ angle = 60 degrees here of triangle
| \ <-- digitaly drawn triangle
|___\
cirlcle diameter is 60 meters, since pillar is at the center then the distance of the pillar to the edge of the circlular meadow is (60/2) 30 meters.
30 meters is opposite of the angle.
The height of the pillar is adjacent to the angle so use tangent to solve
Tan(60) = 30/x
Tan(60) = 1.7; make sure that calculator is in degrees and not in radians to not get an incorrect value
1.7 = 30/x --> 1.7x = 30
x = 30/1.7
x = 17.3205 meters
using 2 significant figures gives us 17 meters
If x is directly proportional to y, and x = 4.5 when y = 3, find
(i) an equation connecting x and y
(ii) the value of x when y = 6,
(iii) the value of y when x = 12.
Answer:
1. don't know what you want for the first one but..
2. x=9
3. y= 8
Step-by-step explanation:
x = 1.5y
ex y=2 x=2