Answer:
3
Step-by-step explanation:
t-4t^2+2t^3
Rewriting this in order from largest to smallest exponent
2t^3 -4t^2 +t
The highest power is 3
So this is degree 3
Solve for the missing measurement.
5. The area of the base of a rectangular prism is 225 units square If the volume is 1800 cubic
units, what is the height of the prism?
6. The volume of a rectangular prism is 216 cubic cm. If the height of the prism is 8 cm, what
is the area of its base? (Round to the nearest tenth)
Answer:
1) The height of the prism is 8 units.
2) The area of its base is 27 square cm.
Step-by-step explanation:
The formula of a rectangular prism is
[tex]\text{Volume}=\text{Area of base}\times \text{Height}[/tex]
1) Given : The area of the base of a rectangular prism is 225 units square If the volume is 1800 cubic units.
To find : What is the height of the prism?
Solution :
Volume = 1800 cubic units
Area of base = 225 units square
Substitute the value,
[tex]1800=225\times \text{Height}[/tex]
[tex]\text{Height}=\frac{1800}{225}[/tex]
[tex]\text{Height}=8[/tex]
The height of the prism is 8 units.
2) Given : The volume of a rectangular prism is 216 cubic cm. If the height of the prism is 8 cm.
To find : What is the area of its base?
Solution :
Volume = 216 cubic cm
Height = 8 cm
Substitute the value,
[tex]216=\text{Area of base}\times 8[/tex]
[tex]\text{Area of base}=\frac{216}{8}[/tex]
[tex]\text{Area of base}=27[/tex]
The area of its base is 27 square cm.
What is the probability of rolling at least one 5 or 6 when rolling the dice three times?
Answer:
19/27
Step-by-step explanation:
Each time that you roll a dice, there is a 1/3 chance you get a 5/6(assuming you have a fair dice). The probability of rolling that atleast once is the inverse of the probability of rolling a 1-4 each time. There is a [tex]\frac{2}{3}[/tex] chance each time you roll the dice. Thus raising this to the third power results in [tex]\frac{8}{27}[/tex]. Since we are looking for the inverse probability, we can do:
[tex]1-\frac{8}{27}[/tex] In order to get our final answer.
A technology magazine finds data that suggests the prices of computers with a specific configuration follow an approximately normal distribution with a mean of $895.22 and a standard deviation of $109.30.
The magazine wants to describe the percentage of these computers that are priced below $600. What Z-Score should they use?
Answer:
-2.7
Step-by-step explanation:
i did it.
will give brainiest to first person who answers!!!
Answer:
48 in
Step-by-step explanation:
I multiplied 16 by 3 since 6 is representing the whole 1 side of the rectangle but your trying to find half of the rectangle and that side so 6 in the equation becomes 3
Answer:
48 inches
Step-by-step explanation:
multiply 16 by 3 so 6 becomes 3
Scientists are monitoring the populations of two insect species in a remote location in Alabama. They estimate that the
current population of insect A is 2.5 million. But it's declining at the rate of 4% per year because of habitat loss. The
estimated population of insect B is 1.2 million, and it's increasing at the rate of 200,000 per year. Let x represent the
population of each insect species in millions, and y represent the elapsed time in years. Which equation can be used to
determine how long it will take for the populations of the two species to be equal?
Answer:
2.5e^-0.04x = 1.2 + 0.2x
Step-by-step explanation:
Please help me just the first two questions mark brainly
Answer:
the height is 16 and the volume is 476.24 i think
Step-by-step explanation:
Would the value of{2+ [(15 – 3) – 61} = 2 change if the braces were removed? Explain.
How many solutions does the system have?
y = -7x + 8
y = -7x - 8
Choose 1 answer:
Answer:
No solutions
Step-by-step explanation:
If we try to solve this system for y at x = 1, we get an impossible situation:
[tex]y=-7(1)+8=-7+8=1\\y=-7(1)-8=-7-8=-15\\1=-15[/tex]
Clearly, 1 ≠ -15, and we'll see that any value of x that we pick gives us two contradictory values for y, so this system has no solutions.
help, Pls?
I got 98 for first and 31 for second(ik i'm probably wrong-_-)
Answer:
9. 149 degrees
10. 2 units
Step-by-step explanation:
9. These two triangles are congruent, which means their corresponding side lengths and angles are are equal.
Here, the angle on the bottom triangle marked x actually corresponds to the angle in the top triangle that is unlabelled. That means if we find the unlabelled angle in the top triangle, we've found x.
All angles of a triangle add up to 180, so we can write: x + 17 + 14 = 180
Solve for x: x = 180 - 17 - 14 = 149 degrees
10. Similar triangles have their corresponding angles the same and their corresponding sides in the same ratio, not the same length this time.
Notice that RP is the long leg of triangle PQR and that AC is the long leg of triangle ABC, which means that they correspond to each other and we can write the ratio: RP / AC = 16 / x.
Notice that QP is the short leg of triangle PQR and that AB is the short leg of triangle ABC, which means that they correspond to each other and we can write the ratio: QP / AB = 8 / 1.
Now we can set these two ratios equal and solve for x:
16/x = 8/1
8x = 16
x = 2 units
Answer:
9. 149°
10. 2
Step-by-step explanation:
Congruent figures have the same angles and lengths
x = 180 - 17 - 14
x = 149°
Similar figures have sides in the same ratio
1/8 = x/16
x = 16/8
x = 2
He ran 220 meters farther than she ran she ran 2.4 kilometers.how many kilometers did he run
Answer:
He ran 2.62 km
Umm a little help pls?!
Answer:
116 degrees
Step-by-step explanation:
Supplementary Angles=180 degrees
64+x=180
180-64=116
116=116
Volume of a shape
Jacob’s dad gave him a soda can to use. He was able to cut off the top to have a full opening. The can is 5 inches tall and the opening has a diameter of 3 inches.
Jacob’s little sister ate her ice cream, but didn’t want to eat the cone. Jacob decided to use the cone to scoop sand and build his castle. The cone is 5 inches long and has an opening diameter of 3 inches
Answer:
The can's volume is 35.34 inches
the cone's volume is 11.78 inches
hope it helps you!!
The question asks for the volume of a cylinder and a cone, both with a height of 5 inches and a diameter of 3 inches. The volume of the cylinder is calculated as approximately 35.34 inches³, and the volume of the cone is about 11.78 inches³.
The question involves finding the volume of two different 3-dimensional shapes: a cylinder (soda can) and a cone (ice cream cone). To calculate the volume of the cylinder, we use the formula V = π r² h, where r is the radius of the circular base, and h is the height of the cylinder.
Since the diameter of the soda can is given as 3 inches, the radius (which is half of the diameter) would be 1.5 inches. For the cone, the formula for volume is V = {1}/{3} π r² h, using the same measurements for r and h as the soda can. The calculations then proceed as follows:
Cylinder: V = π (1.5)² × 5 = π × 2.25 × 5
Cone: V = {1}/{3} π (1.5)² × 5 = {1}/{3} π × 2.25 × 5
The volume of the cylinder would be approximately 35.34 inches³ and the volume of the cone would be about 11.78 inches³, assuming π is approximately 3.14159.
Cole is studying employment trends.
He found that 20% of the social workers he surveyed, or 45 social workers,
work part time. How many social workers did Cole survey altogether?
Answer:
225
Step-by-step explanation:
So we know that 20% of the social workers he surveyed was 45 people. The easiest way to find all 100% of the social workers is to do 45 x 5 because 20% x 5 = 100%. So 45 x 5 = 225.
Hope this helped! :)
-12m-8m+5=-25m-20 solve equation
Answer:
m=-5
Step-by-step explanation:
Given: -12m-8m+5=-25m-20
Combine like terms on left side: -20m+5=-25m-20
Add 25m to both sides: 5m+5=-20
Subtract 5 on both sides: 5m=-25
Divide both sides by 5: m=-5
So m=-5
Answer:
m = -5
Step-by-step explanation:
-12m-8m+5=-25m-20
Combine like terms
-20m +5 = -25m -20
Add 25m to each side
-20m+25m+5=-25m+25m-20
5m +5 = -20
Subtract 5 from each side
5m+5-5=-20-5
5m = -25
5m/5 = -25/5
m = -5
For the diagram shown, x = 80 and y = 30. Determine the value of z. A) 20 B) 40 C) 50 D) 100
Answer:D
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
if sin(x) = 0 and cos(x) = 1, what is cot(x)?
Answer:
undefined
Step-by-step explanation:
Sin(x) = 0 where x = 0
Cos(x) = 1 where x = 0
Cot(0) is undefined
Undefined.
Trigonometry:The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (cosec).Given -
[tex]sin(x)=0\\cos(x)=1[/tex]
So [tex]cot(x)=-[/tex].
Therefore, [tex]cot(x)[/tex] is undefined.
Know more about trigonometry here:
https://brainly.com/question/24349828
#SPJ2
solve 5(3)x + 3 - 2 = 38 using logarithmic properties. Round your answer to three decimal places.
Answer:341/135
Step-by-step explanation:
Answer:
-1.107
Step-by-step explanation:
What is the range of fat grams for the five sandwiches brainly?
Answer:
10
Step-by-step explanation:
Graph the line x=-3
What’s the answer to this
Answer: (A)
Step-by-step explanation: A shows all of the right ones. It only shows the letter b because the one is “invisible.”
A 2-pack of notebooks costs $3.00. What is the unit price? per notebook
Answer:
$1.50
Step-by-step explanation:$3.00/2 is $1.50 hope this helps god bless
Answer:
The unit price is 1.50, you just needed to divide by two to see how much one note book costs.
Hope this helps <3
y=7x + 10
y=-4x – 23
Answer:
x = -3
y = -11
Step-by-step explanation:
to solve this linear equation using substitution method
let us say that
y=7x + 10.........................................................equation 1
y= -4x – 23...................................................... equation2
substitute equation 1 into equation 2
7x + 10 = -4x - 23
collect the like terms
7x + 4x = -23 -10
11x = -33
divide both sides by the coefficient of x which is 11
11x/11 = -33/11
x = -3
put the value of x = -3 into equation 2
y= -4x – 23...................................................... equation2
y = -4(-3) - 23
y = 12 - 23
y = -11
therefore the value of x and y is -3 and -11 respectively
Solution is x=-3 , y=-11.
We set the ys equal.
[tex]7x+10=-4x-23\\7x+4x=-23-10\\11x=-33\\x=-3[/tex]
For x=-3,
[tex]y=7x+10\\y=7(-3)+10\\y=-21+10\\y=-11[/tex]
Solution is x=-3 , y=-11.
Learn more: https://brainly.com/question/8806877
Does someone know how the correct answer?? I need help
Answer:
(-2,1)
Step-by-step explanation:
add 3 to x,(-5 + 3 = -2) and subtract 2 from y,(3 - 2 = 1)
Answer:
55.23
Step-by-step explanation:
Given the circumference, find the radius of the circle.
Answer:
the radius is 24
Step-by-step explanation:
Answer:
[tex]2\pi \: r = 48 \\ \frac{2\pi \: r}{2} = \frac{48}{2} \\ \pi \: r = 24 \\ r \: \: = \frac{24}{\pi} \\ r = 7.639in[/tex]
find the value of x
helpp plss
The figure is made up of a semicircle and a triangle. Find the perimeter. Round your answer to the nearest hundredth.
Perimeter of figure = π*r * sum of all three sides
Step-by-step explanation:
Perimeter of a figure with semicircle and triangle .-
Perimeter of semicircle is = π*r
Perimeter of triangle = sum of all three sides
Perimeter of figure = π*r * sum of all three sides
we can't round up here as no value is given in question .
What is the arc measure of BDC in degrees?
What do you want to do fo a career and how math is used in that career?
Use the inequality to help you complete the statements.
j < –0.65
Answer:
the variable is j, in equality symbol is < , constant is -0.65,
Step-by-step explanation:
:D Took asignment got it right
Answer:
A table titled inequality symbols contains the symbols for less-than and greater-than.
Use the inequality to help you complete the statements.
j < –0.65
The variable in the inequality is
✔ j
.
The inequality symbol is
✔ <
.
The constant in the inequality is
✔ -0.65
.
Step-by-step explanation:
what is the coefficient of y2
Answer: A coefficient is simply a variable that has a number with it. For example 2y has a coefficient. The coefficient is 2 because you will multiply 2 by y.
A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression