Answer:
70 mph
Step-by-step explanation:
Find the unit rate, which is "miles per hour."
280 miles
--------------- = 70 mph
4 hours
70 mph
4 hours/280 miles
1 hour/70 miles
which equation is the vertex form of y = 2x^2 + 16x + 26
Answer:
y = 2(x + 4)² - 6
General Formulas and Concepts:
Order of Operations: BPEMDASCompleting the SquareStep-by-step explanation:
Step 1: Define function
y = 2x² + 16x + 26
Step 2: Find vertex form
Factor GCF: y = 2(x² + 8x + 13)Complete the Square: y = 2(x² + 8x + 4² + 13 - 16)Simplify: y = 2((x + 4)² + 13 - 16)Combine like terms: y = 2((x + 4)² - 6)Simplify: y = 2(x + 4)² - 630 pts! Take a look at this square pyramid (image included). What is the surface area?
Answer:
160
Step-by-step explanation:
b^2 + 2 bl
8^2 + 2(8)(6)
64 + 16(6)
64 + 96
= 160
.......................
Answer:
c. (-1, -8)
Step-by-step explanation:
[tex]y = 3x-5\\y = 2x-6\\\\3x - 5 = 2x - 6\\x = -1\\\\[/tex]
Put x in any of the two equations to get y,
y = -8
Every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar. What effect does this have on
the surface area of the pyramid?
A The surface area of the pyramid is multiplied by 10.
B. The surface area of the pyramid is multiplied by 50.
OC. The surface area of the pyramid is multiplied by 100.
D. The surface area of the pyramid is multiplied by 1,000.
E. The effect on the surface area cannot be determined.
Answer:
The correct option is;
C. The surface area of the pyramid is multiplied by 100
Step-by-step explanation:
The equation for the surface area of a triangular prism is as follows;
A = b×h + 2×l×s + l×b
Where:
b = Base width
h = Height of triangular sides
s = Slant height of pyramid
l = Base Length
Hence where every dimension of the triangular pyramid is multiplied by 10, we have
The surface area of original prism = A₁ = b×h + 2×l×s + l×b
The surface area of the new prism = A₂ = 10·b×10·h + 2×10·l×10·s + 10·l×10·b
A₂ = 100·b×h + 100·2×l×s + 100·l×b = 100×(b×h + 2×l×s + l×b)
Therefore, the surface area of the new pyramid is multiplied by 100.
Answer:
A The surface area of the pyramid is multiplied by 10.
Step-by-step explanation:
A triangular prism is a 3 dimensional shape. A triangular prism has 5 faces: 3 triangles and 3 rectangles.
The total surface area of the triangular prism is calculated as:
(Area of the triangle ÷ 2) + ( Area of the first rectangle) + ( Area of the second rectangle) + ( Area of the second rectangle)
If , every dimension of a triangular pyramid is multiplied by 10 to produce a new figure that is geometrically similar, hence, the surface area of the pyramid is multiplied by 10.
If f(x) - 4 -3 and s() = x1, find (f-g)(x)
Answer:
=fx-gx
Step-by-step explanation:
Apply the distribute law
Remove Parentheses
Answer found
Answer: =fx-gx
Hope this helps.
— 3х + Зу = 9
2x – 7y = - 14
Answer: A! x=-1 2/5, y= 1 3/5
Step-by-step explanation:
First put -3x+3y=9 into slope-intercept form(y=mx+b)
3y=-3x+9
then solve for y
y=-1x+3
enter your y-intercept into the equation below..
2x-7(-1x+3)=-14
2x+7x-21=-14
2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)
2x-7x=7
-5x=7 divide -5 into 7
7/5
x=-1 and 2/5
then input x back into the first equation
-3(7/-5)+3y=9
21/5+3y=9
3y=9-21/5
3y=24/5
divide 3 into 24/5
=24/15=1 and 9/15 reduce it anddd
y=1 and 3/5
Find two consecutive whole numbers that /28 lies between NEED ASAP PLEASE
Answer:
To be honest
Step-by-step explanation:
14
Please help me pick the tallest ones
Answer:
1ST: MIDDLE 2ND:RIGHT SIDE 3RD: GIRAFFE ON THE LEFTPoints X(6, 8), Y(3, 3), and Z(13, –3) form a triangle. What is the area of △XYZ?
Answer:
34
Step-by-step explanation:
area = bh/2
The area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.
Coordinates of vertices are:
X≡(6,8)
Y≡(3,3)
Z≡(13,-3)
What is the area of a triangle with vertices [tex](x_1,y_1), (x_2,y_2),(x_3,y_3)[/tex]?The area of a triangle with the above vertices is given by:[tex]\frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]
So the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3)
=[tex]\frac{1}{2} [6(3+3)+3(-3-8)+13(8-3)][/tex]
=34 square units.
Hence, the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.
To get more about triangles visit:
https://brainly.com/question/2644832
A loan of £5200 gains interest of £2340 in 5 years.
Find the simple interest rate.
= ? % p.a.
Answer:
We have the formula to get the amount of money after 5 years:
A = Principal x (1 + rate)^year
or
5200 + 2340 = 5200 x (1 + rate)^5
=> (1 + rate)^5 = (5200 + 2340)/5200 = 1.45
=> 1 + rate = 1.077
=> rate = 1.077 - 1 = 0.077 = 7.7%
Hope this helps!
:)
Answer:
9
Step-by-step explanation:
r= 100i/pt=
100× 2340/5200×5=9
What goes in the blank box
Answer:
vertex
Step-by-step explanation:
The answer is vertex because when two rays meet up, the point where they meet is the vertex. The vertex will always be the point of two lines. For example a triangle has three vertices because there are three places in which lines meet up.
The paper cup is 9 cm tall and the circular opening has a radius of 2.5 cm.
What is the minimum amount of paper needed to make the paper cup to the nearest whole cm² assuming no overlap in the paper?
Answer:
Step-by-step explanation:
Assume that the cup is a cylinder of height 9 cm and radius 2.5 cm.
The side area is A = (circumference)(height), or A = 2πrh, which here is:
A = (3.14)(2)(2.5 cm)(9 cm) = 141.37 cm²
and
The area of the bottom is A = πr², or (here) A = (3.14)(2.5 cm)² = 19.63 cm²
Adding together the area of the sides and the area of the bottom, we get
Total area of cup = 141.37 cm² + 19.63 cm² = 161 cm²
What is the answer for (3m-n)(3m+n)
Answer:
Step-by-step explanation:
9m^2 + 3mn - 3mn - n^2
9m^2 - n^2
A local quilter's guild has a population of 80. When asked how many quilts each person makes in a year, the mean of the population was 4.2. Each person in a group of 8 researchers took a sample size of 10 and determined the mean number of quilts made in one year. What statement accurately describes the relationship between the sample mean and the population mean?
a. The sample mean has to be exactly the same as the population mean
b. The sample mean may or may not be equal to the population mean.
c. The sample mean is always less than the population mean.
d. The sample mean is never the same as the population mean.
Answer:
the sample mean is never the same as population
Answer:
b
Step-by-step explanation:
What is the true solution to l n 20 + l n 5 = 2 l n x x = 5 x = 10 x = 50 x = 100
Answer: x = 10
Step-by-step explanation:ln20+ln5=2lnx
ln(20x5)=lnx^2
ln100=1nx^2
100=x^2
square root
x=10
The true solution is x = 10 of the expression ln 20 + ln 5 = 2 ln x which is correct answer would be option (B).
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
According to the problem, we will use some of the basic logarithmic properties,
Given expression,
⇒ ln 20 + ln 5 = 2 ln x
⇒ ln(20×5) = lnx²
⇒ ln100 = lnx²
Take anti logarithms on both sides,
⇒ 100 = x²
Taking the square root,
⇒ x = 10
Hence, the true solution is x = 10.
Learn more about the logarithmic properties here:
brainly.com/question/24211708
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HELP! 30 pts!
The circle below is centered at the point (-2, -3) and has a radius of length 3.
Answer:
[tex] (x + 2)^2 + (y + 3)^2 = 9[/tex]
Step-by-step explanation:
Center = (-2, - 3) = (h, k)
Radius (r) = 3
Equation of circle in centre radius form is given as:
[tex] (x - h) ^2 + (y - k) ^2 = r^2 \\
\therefore \{x - (-2)\}^2 + \{y - (-3)\}^2 = 3^2 \\
\purple {\boxed {\bold {\therefore(x + 2)^2 + (y + 3)^2 = 9}}} [/tex]
7
A dozen eggs costs GH¢ 4.80. Find the cost of 16 eggs
A. GH¢ 6.00
B. GHĆ 6.40
GH€ 7.20
GH¢ 8.00
Answer:
B.
Step-by-step explanation:
Make a ratio equation:
12 : 4.8 = 16 : x
[tex]\frac{12}{4.8} = \frac{16}{x}[/tex]
Cross multiply:
12x = 76.8
x = 6.4
What is round your answer to the simplest radical from?
I need an example or something i don’t know what that is
Answer/ Step-by-step explanation:
Simplest Radical Form. ... Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.
Please Mark BRAINLIEST! Really need it!
Got this image from one of my assignments:
I NEED HELP can anyone help me, please??
Answer:
8x - 24 + 4x = 180
12x - 24 = 180
12x - 24 + 24 = 180 + 24
12x = 204
12x / 12 = 204 / 12
x = 17
∠NOP = 4(17)
= 68°
Step-by-step explanation:
Answer:
it might not be on the choice but i got 38.
Step-by-step explanation:
since MNOP is a cyclic quadrilateral it's opposite sides are complementary. so
8x-24+4x=90
12x-24=90
12x=90+24
12x=114 (divide both sides by 12)
x=9.5
since you asked for<NOP=4*9.5=38.
Find the lateral area of the right prism with height 0.3 dm, if the base of the prism is Isosceles trapezoid with bases of 3 cm and 5 cm, and legs of 4 cm;
Answer:
48 cm²
Step-by-step explanation:
The lateral area (L) of a trapezoidal prism is the area of the four rectangles that connect the top and bottom trapezoids.
The four rectangles make one large rectangle with length equal to the sum of the four sides — the perimeter (p).
1. Convert the height to centimetres
[tex]h = \text{0.3 dm} \times \dfrac{\text{10 cm}}{\text{1 dm}} = \text{3 cm}[/tex]
2. Calculate the perimeter
p = 3 cm + 4 cm + 5 cm + 4 cm = 16 cm
3. Calculate the lateral area
L = ph = 16 cm × 3 cm = 48 cm²
The lateral area of the prism is 48 cm².
What is the measure of the angle?
Answer:
115°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
? is an exterior angle of the triangle , thus
? = 75° + 40° = 115°
Answer:
[tex]x = 115 \: \: degrees[/tex]
First answer is correct.Step-by-step explanation:
let's get the missing side as x
[tex]75 + 40 = x \\ 115 = x[/tex]
Solve the following proportion for .
17/7 = u/8
Round your answer to the nearest tenth.
Answer:
19.4 =u
Step-by-step explanation:
17/7 = u/8
We can use cross products to solve
17*8 = 7u
Divide each side by 7
17*8/7 = 7u/7
19.42857143 = u
To the nearest tenth
19.4 =u
Answer:
[tex]u = 19.42[/tex]
Step-by-step explanation:
[tex] \frac{17}{7} = \frac{u}{8} \\ \\ cross \: \: \: multiple \\ 17 \times 8 = 7 \times x \\ 136 = 7u \\ \frac{136}{7} = \frac{7u}{7} \\ u = 19.42[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
How many rice balls can Justin make with 700700700 grams of rice?
Answer:
im pretty sure its 777 hope this helped:)
Find the arc length of the semicircle.
Answer:
8π
Step-by-step explanation:
2 * π * r * 0.5
16π * 0.5
8π
Answer:
4 pi
Step-by-step explanation:
Elise fills a waffle cone with ice cream exactly level to the top of
the cone. If the cone has a diameter of 2 3/8 inches and a height of
6 inches, how much ice cream does the waffle cone hold?
Answer:
V=π r^2 h/3
d=2 3/8 inches
convert to radius d=2r
d=2.375 (value of 2 3/8 inches in decimal)
2.375 divide by 2
r=1.1875 inches
V=π r^2 h/3
V=3.14 x 1.1875^2 x 6/3
Volume will be 8.85.
Step-by-step explanation:
Simplify the expression.
Answer:
64x
Step-by-step explanation:
that would be my answer
hope this helps!!! :)
Answer:
64x
Step-by-step explanation:
Simplify into x*4 to the 3 power
Evaluate 4 to the 3 power is 64
Reorder x*64
Final answer = 64x
F(x)=4x^2+2x+6 what is the value of the discriminant of f?
Answer:
-92
Step-by-step explanation:
So the way you find the discriminant is b^2 - 4ac
a = 4
b = 2
c = 6
4 - 96
-92
Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?
GIVE ME 3 answers PLS AND SUB TO ItzMeVik on yotube!!
100 points btw
Answer:
[tex]y=9x[/tex]
[tex]y=\frac{18x}{2}[/tex]
[tex]y=\frac{81x}{9}[/tex]
Step-by-step explanation:
The given equation is
[tex]3y=27x[/tex]
If we isolate [tex]y[/tex], we can find the constant
[tex]y=\frac{27x}{3}\\ y=9x[/tex]
So, the constant is [tex]k=9[/tex].
Another proportions that have the same constant as the given equation are
[tex]y=9x[/tex]
[tex]y=\frac{18x}{2}[/tex]
[tex]y=\frac{81x}{9}[/tex]
Answer:
a,b, and c
Step-by-step explanation: Got it from khan :)
2:
The figure shows a square pyramid.
Calculate the volume and the surface area of the pyramid. If necessary, round to the nearest hundredth.
Volume
cubic meters
Surface Area
square meters
Answer:
I Have the same question
Step-by-step explanation:
Plz answer this for us.
PLEASE PLEASE PLEASE HELP I will mark brainliest
Answer:
Only the first one should be check-marked.
Step-by-step explanation: