Answer:
[tex]{ \tt{ = \frac{7 {p}^{2} \times 3p}{14 {p}^{4} } }} \\ = { \tt{ \frac{21 {p}^{3} }{14 {p}^{4} } }} \\ = { \tt{1.5 {p}^{ - 1} }}[/tex]
Find the measure of the arc DC
Answer:
The measure of arc DC is 50°. Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees. What is the measure of Arc E B C? 40° 90° 140° 220°
Step-by-step explanation:
what is the distance between a and b
a 45
b 20
c 25
d 60
can someone help please
the eqashion -4 x <-2
Answer:
8
Step-by-step explanation:
Perez throws a stone on the pond. The path traveled by the stone can be modeled by y = -2x2 + 8x + 5, where x represents the time (in seconds) and y represents the height of the stone (in feet). What is the maximum height that the stone reaches
Answer:
The maximum height that the stone reaches is of 26 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
y = -2x2 + 8x + 5
Quadratic function with [tex]a = -2, b = 8, c = 5[/tex]
What is the maximum height that the stone reaches?
y value of the vertex. So
[tex]\Delta = 8^2-4(-2)(5) = 64 + 40 = 104[/tex]
[tex]y_{v} = -\frac{104}{4(-2)} = 26[/tex]
The maximum height that the stone reaches is of 26 feet.
In a recent survey,5 out of every 11 dentists recommend fluoride. If there are 690 dentists surveyed, how many are recommend fluoride?
Answer:
314
Step-by-step explanation:
Need help with this??? Please!!!
Answer:
the first option
Step-by-step explanation:
(f-g)(x) simply means to subtract both expressions. really literally.
and we go through it power by power of x.
the highest power/exponent of x is 3 (x³). only f(x) has one.
so, -7x³ is the first part of f-g.
next is x².
11x² - 6x² = 5x², which is the second part of f-g.
next is x.
-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.
next is x⁰ (in other words, no x, just a constant).
4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.
we have no x to the power of -1 or -2, so we have -3
0 - (-4x‐³) = 4x‐³, which is the last part of f-g.
so, it is clearly the first answer option.
Michals basketball team practiced for 2hours 40 minutes yesterday and 3 hours 15 minutes today how much longer did the team practice today than yesterday
Answer:
35 minutes
Step-by-step explanation:
The is calculated using the Subtraction operation
The number of minutes longer the team practiced today than yesterday =
Number of minutes they practiced today - Number of minutes they practiced yesterday
Number of minutes they practiced today = 3 hours 15 minutes
Number of minutes they practiced yesterday = 2hours 40 minutes
The number of minutes longer the team practiced today than yesterday =
3 hours 15 minutes - 2hours 40 minutes
= 35 minutes
Therefore, the team practiced 35 minutes longer today than yesterday
Write in slope-intercept form an equation of the line that passes through the points (-3, 2) and (1, -10).
Can someone please help me find the measure of angle ABO?
Answer:
m<ABO = 22 deg
Step-by-step explanation:
A tangent intersects a circle at the point of tangency making a right angle with the radius drawn to that point. That means that <BAO is a right angle and measures 90 deg. That makes the other two angles of the triangle complementary with a sum of 90 deg.
m<O + m<B = 90
68 + m<B = 90
m<B = 22
Answer: m<ABO = 22 deg
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Step-by-step explanation:
circumference of circle=2πr
=2*π*9
=18π m
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Radius of the circle = 9 m.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The circumference of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
A. C = 18 π ✅
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:18\:π\:m.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2Πr }[/tex]
[tex] = 2 \: \pi \times 9 \: m \\ = 18 \: \pi \: m[/tex]
Therefore, the circumference of the circle is 18 π m.
[tex]\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}[/tex]
What equation is equivalent to (1/3)^x = 27^x+2?
Answer:
Step-by-step explanation:
B
Please help test tomorrow everything you need is in the photo below
Answer:
yes
Step-by-step explanation:
On a set of blueprints, the length of a building is 16 inches. The actual building is 85 1/3 feet long. Which of the following is the correct scale?
1:64
1:5
1:32
1:12
Answer:
1 : 64
Step-by-step explanation:
We require the dimensions to be the same units
1 foot = 12 inches , then
85 [tex]\frac{1}{3}[/tex] feet = [tex]\frac{256}{3}[/tex] × 12 = 256 × 4 = 1024 inches
Scale is then
16 in : 1024 in ( divide both parts by 16 )
= 1 : 64
\ 4 people are going to a dinner party. Each person at the party will eat 56 pound of salad. If you can only buy whole pounds of salad, how many pounds should you buy?
Answer:
224 pounds
step by step :
one person eat 56 pound and we have four person so we must say that :
56 × 4 = 224 pounds
Write the linear function for the graph shown in
slope-intercept form.
Answer:
upper left graph: y = 3/4x-3
lower right graph: x = 3
Step-by-step explanation:
Write the equation of the line that passes through (7,-4) and (-1,2) in slope-intercept form. Select one:
Don't use files please
a. y=-3/4x+11/4
b. y=3/4x+11/4
c. y=-4/3x+2/3
d. y=-3/4x+5/4
OPTION
d. y= -3/4x+5/4 is the correct answer.
Refer to the attachmenta for complete calculation
Surface area.. please answer
[tex] \boxed{ \mathfrak{\huge \: \underline{ \underline{A nswer} }: }}[/tex]
Given terms :
[tex]\hookrightarrow \: length = 8 \: in[/tex]
[tex]\hookrightarrow \: width = 2 \: in[/tex]
[tex] \hookrightarrow \: height = 12 \: in[/tex]
we know,
[tex] \large\boxed{ \mathrm{surface \: \: area \: (a) = 2(lw + wh + lh)}}[/tex]
[tex]\hookrightarrow \mathrm{\: a = 2 \times \bigg [(8 \times 2) + (2 \times 12) + (8 \times 12) \biggr]}[/tex]
[tex]\hookrightarrow a = 2 \times \biggr[16 + 24 + 96 \biggr][/tex]
[tex]\hookrightarrow \: a = \bigg [\: 2 \times 136\bigg ][/tex]
[tex]\hookrightarrow \large \boxed{ \mathrm{a = 272 \: \: in {}^{3} }}[/tex]
____________________________________
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
Two similar triangles have a scale factor of 2 : 3. For numbers 7a – 7d, determine whether each statement about the triangles is true or false.
7a. The ratio of their perimeters is 2 : 3. True or False
7b. The ratio of their areas is 4 : 6. True or False
7c. Their perimeters could be 14 cm and 21 cm. True or False
7d. Two corresponding sides could be 6 in and 7 in. True or False
Answer:
Step-by-step explanation:
Two similar triangles have a scale factor of 2 : 3.
7a. The ratio of their perimeters is 2 : 3.
As the sides are 2 : 3, the perimeters which are sums of all sides will also be 2 : 3
True
7b. The ratio of their areas is 4 : 6. True or False
As the sides are 2 : 3, the areas which are the products of two sides will be in the ratio of 2*2 : 3*3 = 4 : 9
False
7c. Their perimeters could be 14 cm and 21 cm. True or False
As the perimeter ratio for 14cm and 21 cm is 14 : 21 = 2 : 3 which complies with 7a. So they could be the perimeters.
True
7d. Two corresponding sides could be 6 in and 7 in. True or False
As the corresponding sides of 6in and 7in, the ratio is 6 : 7 and is different from 2 : 3. So they cannot be corresponding sides.
False
Answer:
Step-by-step explanation:
7a. perimeter=3 sides added so the ratio is the same
The ratio of their perimeters is 2 : 3.
True
7b. area= sidexside so the ratio is 2x2:3x3 = 4:9
The ratio of their areas is 4 : 6.
False
7c. 14:21 =2:3
Their perimeters could be 14 cm and 21 cm.
True
7d. 6:7 <> 2:3
Two corresponding sides could be 6 in and 7 in.
False
If A and B are (-2,-2) and (2,-4). Find the coordinates P such that AP=3/7 AB and P lies on the line segment ab
Answer:
The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].
Step-by-step explanation:
Point P:
The coordinates of point P are (x,y).
AP=3/7 AB
So
[tex]P - A = \frac{3}{7}(B-A)[/tex]
We apply this both for coordinate x and coordinate y.
Coordinate x:
[tex]x - (-2) = \frac{3}{7}(2 - (-2))[/tex]
[tex]x + 2 = \frac{12}{7}[/tex]
[tex]x = \frac{12}{7} - 2 = \frac{12}{7} - \frac{14}{7} = -\frac{2}{7}[/tex]
Coordinate y:
[tex]y - (-2) = \frac{3}{7}(-4 - (-2))[/tex]
[tex]y + 2 = -\frac{6}{7}[/tex]
[tex]y = -\frac{6}{7} - 2 = -\frac{6}{7} - \frac{14}{7} = -\frac{20}{7}[/tex]
The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].
the distance from the earth to the sun is( 1.496 x 10^11 ) m and the distance between earth and moon is 3.84 x 10^8 m. during solar eclipse, moon comes in between earth and sun, at the time what is the distance between moon and sun?
Answer:
1.49216 x 10^11 m.
Step-by-step explanation:
That would be the following difference:
1.496 x 10^11 - 3.84 x 10^8
= 1.49216 x 10^11 m.
If the measure of arc CB is 8/3 pi units, what is the measure of angle CAB
Answer:
120° = CAB
arc lenght = CÁB/ 360 × 2(pi)(4)
a/2pi(4) = CAB/360
8/3(pi)/2(pi)(4) × 360 = CÁB
120 = CAB
Answer:
120°
Step-by-step explanation:
that is the procedure above
How do I solve this
What is the area of the rectangle above
A.48 square cm
B.28 square cm
C.14 square cm
D. 24 square cm
Answer:
24
Step-by-step explanation:
Area = width * length
Given width = 2cm
Given length = 12cm
Area = 2 * 12 = 24
Help plz..And No links!! I repeat No links!!
Answer:
200 ft^3
Step-by-step explanation:
Volume of rectangular prism equation is
[tex]V=lwh[/tex]
steps in attachment
HELP ME PLAESE ASAPP
Karen is at least 4 years more than twice mary's age (m). Karen is 46 years old. Write a simplified inequality that represents marys age answer
Answer:
46 ≥ 2m + 4
m ≥ 21
Step-by-step explanation:
At least is ≥
Karen's age = 46 years old
Mary's age = m years old
Karen is at least 4 years more than twice mary's age (m).
46 ≥ 2m + 4
46 - 4 ≥ 2m
42 ≥ 2m
m ≥ 42/2
m ≥ 21
Please help with this!
Answer:
pls help me tooo answer that
please I really need the help:(
Answer:
41
Step-by-step explanation:
The formula for solving for sin is opposite side/hypotenuse.
The opposite side of <A is BC (28 units) and the hypotenuse is AB (53 units).
sin A = 28/53
A = sin^-1(28/53) --> To remove the sin, you have to multiply the inverse of sin on both sides.
A ≈ 41
Hope this helped! <3
solve for x
roman is standing away from a flag pole, how far away is he standing.
Answer:
13.21148134 meters
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 39 = x /17
17 cos 39 = x
13.21148134 = x
Answer:
Step-by-step explanation:
take 39 degree as reference angle
using cos rule
cos 39=adjacent/hypotenuse
0.77=x/17
0.77*17=x
13.09=x