Answer:
Split brackets method see below
Step-by-step explanation:
(x+35)(2x + 1)x(2x + 1)+35(2x + 1)2[tex]x^{2}[/tex] + x + 70x + 352[tex]x^{2}[/tex] + 71x +35A garden measures 10 ft by 10 ft.
What is the area of the garden in square inches?
Answer:
1200 sq. in.
Step-by-step explanation:
(10x10)x12=100x12=1200
Write the expression.
Answer: 4 (4x + 7)
Step-by-step explanation:
4 ( 4x + 7)
4 is the greatest number divisble by both 16 and 28 so 4 is factored out of the equation
Find the measure of each angle in the isosceles trapezoid.
Answer:
Step-by-step explanation:
HELP ME OUT PLS!!!!
The radius of a sphere is 7 cm. What is the sphere's volume? Round to the nearest tenth, and use 3.14 for pi.
O 723,2 cm
O 1868.2 cm
O 1436,0 cm
O 2052,5 cm
⠀
Explanation :
⠀
We know,
[tex]{ \longrightarrow{\qquad \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}[/tex]
⠀
Here,
The radius of the sphere is 7 cm.We will take the value of π as 3.14⠀
Substituting the values in the formula :
⠀
[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times3.14 \times {\bigg(7 \bigg)}^{3} }}}[/tex]
⠀
[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times 3.14 \times 343 }}}[/tex]
⠀
[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4 \times 3.14 \times 343}{3} }}}[/tex]
⠀
[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4308.08}{3}}}}[/tex]
⠀
[tex]{ \longrightarrow{\qquad \pmb {\sf Volume_{(Sphere)} = 1436.02 }}}[/tex]
⠀
Therefore,
The volume of the sphere is 1436.0 cm³II. A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in an upcoming election. A poll of 150 randomly selected voters is taken, and 78 of those selected plan to vote for the incumbent candidate. Construct a 90% confidence interval for the proportion of all voters who plan to vote for the incumbent candidate.
a
(0.02709, 0.09291)
b
(0.4529, 0.5871)
c
(0.02131, 0.09869)
d
(0.0309, 0.0691)
1.) If the function f(x) = (x – 3)^2+ 2, the minimum value occurs when x is
1)-2
2)2
3)-3-
4) 3
Answer:
2
Step-by-step explanation:
Circumference of the circle
Answer:
37 5/7
Step-by-step explanation:
use formular it will be 2pie -22/7 ×radius
since we have been given only radius it will be
2×22/7×6=37 5/7
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the circumference of given circle ~
Circumference :
[tex] \qquad \tt \dashrightarrow \: 2\pi{r}^{} [/tex]
where, r = radius
Now, let's calculate it ~
[tex] \qquad \tt \dashrightarrow \: c = 2×\pi{}^{}×6 [/tex]
[tex] \qquad \tt \dashrightarrow \: c = 12\pi\: \: m[/tex]
That's the answer I terms of π, but we can also plug in the approximate value of pi as 3.14
[tex] \qquad \tt \dashrightarrow \: c = 12 \times 3.14{}^{} [/tex]
[tex] \qquad \tt \dashrightarrow \: c = 37.68\: \: m[/tex]
[tex] \qquad \tt \dashrightarrow \: c \approx 37.7\: \: m[/tex]
Using the slope formula, find the slope of the line through the given points.
12,0 and 2,-5
Answer:
[tex]\textsf{A.} \quad \textsf{The slope of the line is }\boxed{\dfrac12}[/tex]
Step-by-step explanation:
[tex]\textsf{let}\:(x_1,y_1)=(12,0)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(2,-5)[/tex]
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-0}{2-12}=\dfrac12[/tex]
[tex]\textsf{The slope of the line is }\boxed{\dfrac12}[/tex]
I NEED HELP ASAP PLEASE LOOK AT THE PICTURE
Answer:
385.6 m²
Step-by-step explanation:
The surface area of a prism is the sum of the surface areas of each of the faces. A triangular prism has two triangular faces and three rectangular faces. The areas of the rectangular faces will have a total equal to the perimeter of the triangle times the height of the prism.
__
Area = 2×triangle area + lateral area
= 2(1/2)(bh) +PH
= (16 m)(5.6 m) + (6 +15 +16 m)(8 m)
= 89.6 m² +296 m² = 385.6 m²
The surface area of the triangular prism is 385.6 square meters.
_____
Additional comment
In the above formula, we have used ...
b = triangle base (16 m)h = triangle height (5.6 m)P = triangle perimeter (6+15+16) mH = prism height (8 m)Mai and her sister are planting a garden.They made 2 plant beds.one was 4 feet by 3 feet and the other 5 feet by 5 feet.they want to outline the beds with bricks that are 1foot long.How many bricks will they need to outline both beds?
Answer:
27 bricks
Step-by-step explanation:
find the perimeter of the first one, 4 x 3 = 12. Then the perimeter of the second one, 5 x 5 = 25. Therefore 12 + 15 = 27. Meaning you need 27 bricks
What are the missing numbers for this ratio table
Answer:
y = 8x = 9Step-by-step explanation:
The ratios of the numbers shown in the table are all ...
y/x = 16/4 = 20/5 = 4
Then the missing y-value is ...
y = 4x
y = 4(2) = 8
__
And the missing x-value is ...
36 = 4x
36/4 = x = 9
_____
Additional comment
The x- and y-values in a "ratio table" are proportional to each other. That means the y corresponding to half an x-value will be half the y-value. In other words, the y for x=2 will be half the y for x=4, or 16/2 = 8.
Also, the values add. We notice that y=36 is the sum of y=16 and y=20. This means the corresponding x-value for y=36 will be the sum of x=4 and x=5, or x = 4+5 = 9.
Rosalinda has a circular serving platter in the middle of her circular table.
The radius of the platter is 15 inches less than the radius of the table
The diameter of the table is 4 feet. What is the difference between the
area of the table and the area of the platter? Use 3.14 for 17, and write your
answer in decimal form. 7.G.4
diameter=4ft=12(4)=48in
Radius of table=48/2=24inRadius of platter=24-15=9inSo
Area of table:-
π(24)^2576πin²Area of platter:-
9²π81π in²Difference:-
576π-81π495π1554.3in²Answer:
1554.3 in²
Step-by-step explanation:
Given information:
The radius of the platter is 15 inches less than the radius of the tableThe diameter of the table is 4 feetπ = 3.141 foot = 12 inches
⇒ 4 ft = 4 × 12 = 48 in
Radius = ¹/₂ diameter
⇒ Radius of table = ¹/₂ × 48 in = 24 in
⇒ Radius of platter = 24 in - 15 in = 9 in
Area of a circle = πr²
⇒ Area of table = 3.14 × 24² = 1808.64 in²
⇒ Area of platter = 3.14 × 9² = 254.34 in²
Difference = area of table - area of platter
= 1808.64 - 254.34
= 1554.3 in²
GEOMETRY: VOLUME & SURFACE AREA!! HELP PLEASE WITH ANY ONE OF THEM!!
Answer:
1) 728
2) 274.89
Step-by-step explanation:
Find the volume and surface formulas for each shape attached.
I'll do a couple for you. For rest just use the formulas and input the values and solve.
1) It is a pyramid.
V = 1/3 * b * h, where b is the area of base, which is a rectangle so,
b = l * w
so,
V = 1/3 * l * w * h
V = 1/3 * 8 * 21 * 13
V = 1/3 * 2184
V = 2184 / 3
V = 728
2) It is a cylinder
[tex]V = \pi *r^2*h[/tex]
V = π * 5^2 * 3.5
V = π * 25 * 3.5
V = 87.5 π
V = 274.89
Each month, Edward budgets $1860 for fixed expenses, $860 for living expenses
and $250 for annual expenses. His annual net income is $32,508.
Which statement best describes his monthly budget?
Answer:
His annual net income.
Step-by-step explanation:
Hope it helps.
The perimeter of a triangle is 7 m. The longest side is twice the length of the shortest side. The sum of the
lengths of the shortest side and the middle side is 1 m more than the length of the longest side. Find the
lengths of the sides.
Answer:
See below in bold.
Step-by-step explanation:
Let the length of the shortest side be x, then the longest side = 2x.
Also x + y = 2x + 1 where y = length of the middle side,
Simplifying:
2x - x - y = -1
x - y = -1 (A)
Also as the perimeter = 7:
x + 2x + y = 7
3x + y = 7 (B)
Adding (A) and (B):
4x + 0 = 6
x = 6/4 = 1.5
Plug x = 1.5 into equation B:
3(1.5) + y = 7
y = 7 - 4.5 = 2.5.
Answer:
So the shortest side = 1.5, middle = 2.5 and longest = 2*1.5 = 3.
On a coordinate plane the graph of a line passes
through the origin and the point (9,12) What is
the equation of the line?
Answer:
y = (4/3)x
Step-by-step explanation:
Two points on the line are the origen (0, 0) and the given (9, 12).
Starting at the origin and moving to (9, 12), we see the change in x being 9 and that in y being 12. Thus, the slope of the line through these two points is m = rise/run = 12/9 = 4/3.
Thus the equation of the line in slope-intercept form is y = (4/3)x + 0, or
just y = (4/3)x
I am a solid figure with two congruent
polygons that are bases, connected
with lateral faces that are rectangles.
Given f() = -4x + 3, find f(-3)
Answer:
The answer is 15
Step-by-step explanation:
f(x) = -4x + 3, f(-3)
f(-3) = -4x + 3
f(-3) = -4(-3) + 3
f(-3) = 12 + 3
f(-3) = 15
Thus, The answer is 15
Answer:
f(-3)=-4(-3)+3
=12+3=15
Step-by-step explanation:replace x with -3
Veronica wants to convert 108 inches to feet. What does she need to do?
Answer:
Divide 108 by 12 since there are 12 inches in a foot.
108 ÷ 12 = 9
Veronica needs to divide 108 inches by 12 to get 9 feet.
To convert inches to feet, Veronica needs to divide the number of inches by 12, as there are 12 inches in a foot.
Given that Veronica wants to convert 108 inches to feet, she should perform the following calculation:
108 inches ÷ 12
= 9 feet
Therefore, Veronica needs to divide 108 inches by 12 to get 9 feet.
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Si un átomo tiene un número atómico de 18 y 22 neutrones, ¿cuál es su masa atómica?
DOY CORONA
su masa atómica es de 4 creo
how can we use a "line of best fit" to make a prediction?
Step-by-step explanation:
To draw a line of best fit, balance the number of points above the line with the number of points below the line.
A reciangular pyramid is sliced
horizontally, parallel to its base.
Which figure could represent the
cross section of the pyramid?
A rectangle
Pl triangle
C. cirde
D. hexagon.
Find the rule and the graph of the function whose graph can be obtained by performing the translation 4 units right and 2
units up on the parent function f(x)=x|
f(x) = 5x + 4 + 2
c. f(x) = x - 71 +2
a.
+
8
2
& 6t 22
2
4
6
8
2
4
1 T9
99
do
b. fx)= x - 4 + 2
d. None of these
6
Answer:y=x^2 translated 3 to the right gives
y=(x-3)^2, the vertex shifts from (0,0) to (3,0)
translate it 4 up by adding 4
y=(x-3)^2 + 4, this shifts the vertex up to (3,4)
f(x) = (x-3)^2 + 4 or call it
g(x) = (x-3)^2 + 4 if you want to distinguish it from the original f(x) function
Step-by-step explanation:In this question we have been given a function f(x) = |x|
When we perform a translation of 4 units right then the translated form of the function becomes f(x) = |x - 4|
And when we we translate the function up by 2 units then the transformed form is f(x) = |x - 4| + 2
Therefore the given graph in option B is the correct option.
Tiffany had finished 78% of her homework. Write this amount as a decimal.
Could someone please help me!?
pls help do today:(!!
[tex] \qquad\qquad\huge\underline{\boxed{\sf Answer}} [/tex]
The correct way to write the name of a ray is :
[tex] \large \tt Problem\:\: 1 [/tex]
[tex] \sf \overrightarrow{DC}[/tex][tex] \large \tt Problem \:\:2 [/tex]
[tex] \sf \overrightarrow{IG}[/tex][tex] \large \tt Problem \:\:3 [/tex]
The Correct choice is C
Ray has one end point and continues forever on the other side.
How many cars are needed to transport 82 children if each car can take 6 children
The function f(x)=(2)(1.0)+x(0.5)2+x models the concentration of pineapple when 2 gallons of pineapple juice are added to x gallons of another juice. Find the concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice. Give the answer as a percent but do not include the percent sign (%).
The concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice is 5.75
Functions and valuesGiven the functions that model the concentration of pineapple when 2 gallons of pineapple juice are added to x gallons of another juice as:
f(x)=(2)(1.0)+x(0.5)²+x
If the concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice, then;
f(3) = (2)(1.0)+3(0.5)²+3
f(3) = 2.0 + 3.75
f(3) = 5.75
Hence the concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice is 5.75
Learn more on functions here: https://brainly.com/question/2833285
The box-and-wishker plots bellow
Answer:
H: Plots 1 & 2
Step-by-step explanation:
A
The bases are the same size and shape and perpendicular to each
other.
B
The bases are a different size and shape and parallel to each other.
с
The bases are a different size and shape and perpendicular to each
other.
D
The bases are the same size and shape and parallel to each other.
Find sin(2x), cos(2x), and tan(2x) from the given information.
sin(x) = [tex]-\frac{3}{5}[/tex] for [tex]\frac{3\pi }{2}[/tex] < x < 2
I assume 3π/2 < x < 2π, so that x is in the 4th quadrant. For angles x terminating in Q4, we have sin(x) < 0 and cos(x) > 0, so tan(x) = sin(x)/cos(x) < 0.
This means that, using the Pythagorean identity,
cos(x) = + √(1 - sin²(x)) = 4/5
tan(x) = (-3/5) / (4/5) = -3/4
Recall the double angle identities:
sin(2x) = 2 sin(x) cos(x) = 2 (-3/5) (4/5) = -24/25
cos(2x) = 2 cos²(x) - 1 = 2 (4/5)² - 1 = 7/25
tan(2x) = 2 tan(x) / (1 - tan²(x)) = 2 (-3/4) / (1 - (-3/4)²) = -24/7