Answer:
2, - 3, 18
Step-by-step explanation:
1). [tex]\sqrt[3]{1-x}[/tex] = - 1
( [tex]\sqrt[3]{1-x}[/tex] )³ = ( - 1)³
1 - x = - 1 ⇒ x = 2
2). [tex]\sqrt{x^2 +7}[/tex] = 4
( [tex]\sqrt{x^2 +7}[/tex] )² = 4²
x² + 7 = 16 ⇒ x = ± 3 ; x = - 3
3). [tex](x-2)^{\frac{1}{4} }[/tex] = 2
[tex][(x-2)^{\frac{1}{4} }] ^{4}[/tex] = [tex]2^{4}[/tex]
x - 2 = 16
x = 18
Factor the polynomial.
5x4 + 10x3 + 15x2
Answer:
5x^2(x^2 + 2x + 3)
Step-by-step explanation:
All the terms can be factored by 5 and x^2, so we get:
5x^2(x^2 + 2x + 3)
there are no more common terms so this is the answer
For the following exercises, determine whether the relation is a function
a) {(5.2),(6,1),(6,2),(4,8)}
one exterior angle of a regular polygon measures 22.5 degrees. How many sides does the polygon have?
Answer:
16
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Divide by 22.5 to find the number of sides n
n = [tex]\frac{360}{22.5}[/tex] = 16
It an be concluded tat the regular polygon has 16 sides
A regular polygon is a polygon with equal angles and equal sides.
The sum of exterior angles of a regular polygon is 360°
According to the given data
One exterior angle of a regular polygon measures 22.5 °
Let us consider that the regular polygon has "n" sides
So from the exterior angle sum property of the regular polygon we can write that
[tex]\rm n \times 22.5\textdegree = 360 \textdegree\\ n = 360\textdegree /22.5\textdegree \\n = 16[/tex]
So it an be concluded tat the regular polygon has 16 sides
For more information please refer to the link given below
https://brainly.com/question/22831826
.
Which pair of triangles must be similar? * 1 point Triangles 1 and 2 each have a 50 degree angle. Triangles 3 and 4 are both isosceles. They each have a 60 degree angle. Triangle 5 has a 40 degree angle and a 95 degree angle. Triangle 6 has a 35 degree angle and a 70 degree angle. Triangle 7 has a 60 degree angle and a 10 degree angle. Triangle 8 has a 60 degree angle and a 100 degree angle.
Answer:
Triangles 3 and 4 are both isosceles. They each have a 60 degree angle.
This is a similar triangle.
Step-by-step explanation:
Isosceles triangle is one in which two sides are equal.
Similar triangles are triangles which have all corresponding angles equal and which have corresponding sides with the same ratio.
Now the given isosceles triangle both have all three angles equal to 60 degrees which makes them similar triangles.
The other choices given are not similar triangles because
1) they do not have all corresponding angles equal
2) their lengths are unknown and cannot be assumed to be in ratio.
what number is 2e+204
What is the slope of the line in the graph?
Answer:
My answer would be y=2x+1
Step-by-step explanation:
The sum of the two shorter sides of a triangle must be greater than the longer side. the shorter side of a triangle is 8 inches and the longest side is 18 inches. how long must the third side of a triangle be?
At night, the temperature in the fall in lowa is 35°F. During the day, the temperature rises 23°F.
What is the temperature in lowa during the day?
Answer:
58˚F
Step-by-step explanation:
35 + 23 = 58
I hope this helps, have a nice day! :)
Write two division equations for each multiplication equation.
1. 15 ⋅ 2/5 = 6
2. 6 ⋅ 4/3 = 8
3. 16 ⋅ 7/8 = 14
quick i need hellppppp!!!!
Answer:
D
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Please sum1 help? I don’t understand this it would mean the wrld thx
Answer:
20 pages per hour
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
distribute -3(9x^2+10x)
Answer:
-27x^2-30x hoped that helped
What is 33.765 rounded to the nearest hundredth?
Answer:
33.77
Step-by-step explanation:
CAN SOMEONE HELP ME FAST
Find the distance between the two points in simplest radical form.
(-5, 8) (-3, 1)
Answer:
6.40312423 hope that helps
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 5, 8) and (x₂, y₂ ) = (- 3, 1)
d = [tex]\sqrt{(-3+5)^2+(1-8)^2}[/tex]
= [tex]\sqrt{2^2+(-7)^2}[/tex]
= [tex]\sqrt{4+49}[/tex]
= [tex]\sqrt{53}[/tex]
I am preparing a fruit salad for 16 guests. Each person gets 3/4 of a cup. How many cups are needed?
Answer:
12 cups, since .75*16=12
Step-by-step explanation:
Esteban stands on a dock 1.25 yd above the water. A fish swims below Esteban at -4.61 yd from the surface of the water. How many yards apart are Esteban and the fish?
Answer: 5.86yd
Step-by-step explanation:
From the question, we are informed that Esteban stands on a dock 1.25 yd above the water and that a fish swims below Esteban at -4.61 yd from the surface of the water.
The distance between Esteban and the fish can be calculated by subtracting -4.61 yd from 1.25 yd. This will be:
= 1.25 yd - (-4.61 yd)
= 1.25 yd + 4.61 yd
= 5.86 yd
An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the value of each drinking cup?
*see attachment for the dimensions of the cone given.
Answer:
7.9 in³
Step-by-step explanation:
Given:
Height of cone = 4 in.
Diameter of cone = 2¾ in
Radius (r) = ½ of 2¾ = 1.375 in
Required:
Volume of the cup
Solution:
Volume of the cup = volume of a cone
Volume of a cone = ⅓πr²h
Plug in the values of π, r and h into the formula.
Volume = ⅓*3.14*1.375²*4 = 7.9 in³ (approximated to the nearest tenth)
74. Seven workers are hired to seed a field by hand. Each is given a plot 7 x 7
feet in size. What is the total area of the field?
Answer:
The total area of the field is 343 square feet
Step-by-step explanation:
Let us solve the question
∵ There are 7 workers hired to seed a field by hand
∵ Each is given a plot 7 x 7 feet in size
→ The plot has shaped a square because its two dimensions equal
∴ The side of the plot = 7 feet
∵ The area of the square = side × side
∴ The area of each plot = 7 × 7
∴ The area of each plot = 49 square feet
→ To find the total area multiply the area of 1 plot by the number
of the workers
∵ The total area = 49 × 7
∴ The total area = 343 square feet
∴ The total area of the field is 343 square feet
Can someone please check to see if I selected the right answer... Please
Hi could someone help me with this problem? If so, thank you. (ASAP!!)
Answer:
B
Step-by-step explanation:
A has a change of 20 Fahrenheit.
C has an overall change of 21 kilometres.
D has a total distance of 6.2 kilometres.
PLS GIVE BRAINLIEST
Answer:
B.
Step-by-step explanation:
Buys item = -2.25
Sells item = +2.25
-2.25 + 2.25 = 0
A) The difference between -10 and 10 is 20.
C) sea level = 0, 0 + 21 = 21
D) 3.1 + 3.1 = 6.2
An athletic director wants to buy soccer balls and footballs. Each soccer ball costs $15. Each football costs $20. The director can spend no more than $150 in all. Write an inequality to model the situation, where x is the number of soccer balls and y is the number of footballs.
Answer:
15x + 20y = 150
Step-by-step explanation:
15x is how many soccer balls he can get and 20y is how many footballs he can get. (I don't know how to explain my thinking.)
At a little-known vacation spot, taxi fares are a bargain. A 14 Mile Taxi ride takes 16 minutes and costs 11.20 you want to find the cost for a 49 mile taxi ride
Answer:
the unit price needed to calculate is $0.8 per mile
Step-by-step explanation:
Here is the complete question:
At a little-known vacation spot, taxi fares are a bargain. A 14 Mile Taxi ride takes 16 minutes and costs $11.20 you want to find the cost for a 49 mile taxi ride . What unit price do you need?
Step-by-step explanation:
To determine the unit price needed to calculate the cost for a 49 mile taxi ride, we will determine the cost of the ride per mile. To do this, let the cost per mile be $x
If it cost $11.20 for a 14 mile ride
Then, it will cost $x for a 1 mile ride
∴ x = (1 × 11.20) / 14 = 0.8
x = 0.8
The taxi ride costs $0.8 per mile.
Hence, the unit price needed to calculate is $0.8 per mile.
If desired,
To find the cost for a 49 mile taxi ride, multiply the distance traveled by the unit price,
Distance = 49 mile
Unit price = $0.8 per mile
∴ Cost for a 49 mile taxi ride = 49 × $0.8
Cost for a 49 mile taxi ride = $39.2
Hence, the cost for a 49 mile taxi ride is $39.2
To add or subtract fractions, what must you have?
Answer:
You need a common denominator.
Step-by-step explanation:
3/4+2/3
9/12+8/12
Answer:
Equal denominators/common denominators
Step-by-step explanation:
You need to have equal denominators. If you do not, then you have to multiply the denominators against each other as well as multiplying the same number to the numerator. If a number is a factor of one of the numbers then multiply the number by its other factor so as to get the same number.
Ex. 1
First one explained:
2/3 + 4/5
1/3 * 5/5 = 5/15
2/5 * 3/3 = 6/15
5/15 + 6/15 = 11/15
Common denominator = 15
Ex. 2
Second one explained:
2/8 + 1/4
2/8 + 1/4*2/2 = 2/8 + 2/8
= 4/8
Common Denominator = 8Hope this helped,
Kavitha Banarjee
Factoring Polynomials Completely
The first option
Factoring [tex]6x^2+7x-10[/tex]
gives us:
[tex]\left(6x-5\right)\left(x+2\right)[/tex]
so we know that the first option,
one of the factors is (x+2) is correct.
Plzzzzzz helpppppp meeeee
"Taylor's Toys" produced 600 remote control cars in two colors. For blue cars they produced 60 more than 3 times as many orange cars. How many of the cars were blue????????? I really need this right noww pleassseee
Answer:
Remote Control Car Fast RC Cars Toys for 6-12 Years Old Boys,High Speed RC Truck Offroad Remote Control Truck RC Rock Crawler All Terrain RC Car Toys for Boys Kids Gift (Green) 3.6 out of 5 stars 141 More Buying Choices $14.62 (1 used offer)
Step-by-step explanation:
SOMEONE HELP ME PLS
Answer:
1/5^15
Step-by-step explanation: when ever you want to convert the number becomes a fraction to sibstitute for the sighn change and the exponent stays positive.
Please help
Hello,
I will mark brainliest to the one who answers
my question right and who does not copy what
someone else answered No cussing and
or Inappropriate words to get marked brainliest
Also say HAPPY THANKSGIVING
Thanks,
brownarietta8
Answer:
3/n - 10
Step-by-step explanation:
Subtracted from means it comes after
Quotient means divide
3/n - 10
Silvio is putting his books on a shelf. The shelf is 12 inches long. If each book Is LaTeX: 1\frac{1}{2}1 1 2inches wide, how many books can he put side-by-side on the shelf?
Answer:
8 books
Step-by-step explanation:
1 book = 1 1/2 inches
Length of the shelf = 12 inches
Hence,
3/2 inches = 1 book
12 inches = x
3/2 × x = 12 × 1
x = 12 ÷ 3/2
12 × 2/3
4 × 2
= 8 books
Hence, he can put 8 books side-by-side on the shelf.
find answer in terms of pi
Answer:
Step-by-step explanation:
V = π r² h
V = π 3² × 6
V = π 9 × 6
V = π 54 units³
or 54 π units³