Answer:
d. 20
Step-by-step explanation:
To answer the question given, we will follow the steps below:
we need to first find p(3)
p(x) = x+ 7/ x-1
we will replace all x by 3 in the equation above
p(3) = 3+7 / 3-1
p(3) = 10/2
p(3) = 5
Similarly to find q(2)
q (x) = x^2 + x - 2,
we will replace x by 2 in the equation above
q (2) = 2^2 + 2 - 2
q (2) = 4 + 0
q (2) = 4
The product of p(3) and q(2) = 5 × 4 = 20
Please answer this question now
Answer:
m∠D = 94°
Step-by-step explanation:
Quadrilateral ABCD is also called a cyclic quadrilateral or a quadrilateral that is inscribed in a circle.
Opposite angles in a cyclic Quadrilateral are supplementary, i.e the sum of two opposite angles in a Quadrilateral = 180°
m∠A + m∠C = 180°
m∠A = 74°
74° + m∠C = 180°
m∠C = 180° - 74°
m∠C = 106°
In a cyclic quadrilateral, the total sum of the angles outside the circle = 360°
i.e =
m∠AB + m∠BC + mDC + mAD = 360°
m∠DAB= ( m∠C) × 2
= 106° × 2 = 212°
m∠DAB = m∠AD + m∠AB
m∠AD = 79°
212° = 79° + m∠AB
m∠AB = 212° - 79°
= 133°
m∠ABC = m∠AB + m∠BC
m∠AB = 133°
m∠BC= 55°
m∠ABC = 133° + 55°
= 188°
We are asked to find m∠D
m∠D = 1/2m∠ABC
m∠ABC = 188°
m∠D = 1/2 × 188°
m∠D = 94°
Therefore, m∠D = 94°
helpppppp plsssssss!!!!!!! in the picture below
Answer:
266.67 feet^2.
Step-by-step explanation:
The scale is 1:40.
That means that if the scale has a width of 4 inches, the room will have a width of 4 * 40 = 160 inches. 160 / 12 = 80 / 6 = 40 / 3 feet.
The length in the model is 6 inches, so the room has a length of 6 * 40 = 240 inches. 240 / 12 = 120 / 6 = 60 / 3 = 20 feet.
The area will then be (40 / 3) * 20 = 800 / 3 = 266.67 feet^2.
Hope this helps!
Previous problem : From Andy's house to Billy's hometown you can travel by 3 roads. And to get from Billy's hometown to Willie's house you can travel by 5 roads. How many possible ways are there to travel from Andy's house to Willie's house? From Dan's ranch one road is built to get to Andy's house and two roads are built to get to Willie's house (see previous problem). How many way are there now to get from Andy's house to Willie's house?
Answer:
Andy's house to Billy's hometown 15 ways
Andy's house to Willie's hometown 2 ways.
Step-by-step explanation:
Andy's house to Billy's hometown there are 3 roads. There 5 road from billy's hometown to Willie's house . In total there will be 15 ways to travel which is calculated by 3 * 5. For traveling to Willie's hometown there will be two ways. There are two roads that are built to get to Willie's house.
Jeff's sister drives 14 miles to her collage his brother only drives 5/7/10 miles to his collage how much farther does Jeff's sister drive than his brother
Answer:
8.3miles
Step-by-step explanation:
Here Jeff's sister drives 14 miles
his brother only drives 57/10 miles then the question is only asking the difference between their distance of driving to school knowing fully well that Jeff's sister drive farther than his brother, then we find the difference between their drives which is done bow
14miles -57/10 miles
= 83/10
= 8.3miles
Therefore, Jeff's sister drive 8.3miles farther than his brother
Combine like terms.
3p2q2-3p2q3+4p2q3-3p2q2+pq
Answer:
104
Step-by-step explanation:
:D
A rectangle has a height of 2 and a width of 5x^2-2x+3x
Express the area of the entire rectangle.
Expression should be expanded.
how would I do this?^^ if you can break down the steps for me that'd be amazing!
Answer:
[tex] area = 10x^2 - 4x + 6 [/tex]
Step-by-step explanation:
Given that the rectangle has a height = 2, and width of [tex] 5x^2 - 2x + 3 [/tex]
Area of the whole rectangle can be calculated as:
[tex] area = 2(5x^2 - 2x + 3) [/tex]
Use the distributive property of multiplication by using 2 to multiply each term in the expression, [tex] (5x^2 - 2x + 3) [/tex]
[tex]area =2(5x^2) +2 (-2x) + 2(3)[/tex]
[tex] area = 10x^2 - 4x + 6 [/tex]
The population of a certain type of seahorse grew by 13% from year to year.
Should the be modeled linear function or Exponential function ?
Answer: Exponential function
Step-by-step explanation:
A linear function is the form[tex]f(x)=mx+c[/tex] , where m is the constant rate of change of y with respect to x and c is the y-intercept.
An exponential growth function is in the form [tex]f(x)=A(1+r)^x[/tex], where r is the rate of growth (generally in percent) and A is initial value.
If the population of a certain type of seahorse grew by 13% from year to year, then the rate of growth is 13% .
Hence it is an exponential equation.
A tissue sample is three cells thick. Each cell has a thickness of 0.000004m. What is the thickness of the tissue sample in mm. Give your answer in standard form. PLZ SHOW WORKING NOT IN NANO METERS. IN STANDARD FORM
Answer:
0.012 millimeters
Step-by-step explanation:
First, we solve for 0.000004 m to mm = 0.004 mm x 3 = 0.012 millimeters
Determine the equation for the line of best fit to represent the data.
Answer:
Y= -1/5x + 1
Step-by-step explanation:
Just type it on a graphing calculator an click graph
In which quadrant or on which axis do each of the points (2, 3 ), ( 5, -6 ), ( 2,0 ) , ( -5, 2 ), (-2,-4), (0,-2).
from the above picture
2,3 = 1 quadrant
5,-6 = 4 quadrant
2,0 = on x axis
-5,2 = 2 quadrant
-2,-4 =3 quadrant
0,-2 = on y axis
Triangle TQRS Find the value of x.
O x = 2
O x = 3
O x= 33
O x= 52
Answer:
x=3
Step-by-step explanation:
To solve for x, we will follow the steps below:
First note that exterior angle =two opposite interior angle
From the diagram below
(25x) ° + (57 + x)° = (45x)°
25x° + 57° + x° = 45x°
next step is to collect the like term
45x° - 25 x° - x° = 57°
19x° = 57°
Divide both-side of the equation by 19
19x°/ 19 = 57° /19
On the left-hand side of the equation 19 will cancel out 19 leaving us with just x° while on the right-hand side of the equation 57 will be divided by 19
x = 3
GIVING BRAINIEST (open attachment)
Answer:
1/19
Step-by-step explanation:
Let's say there are x yellow cubes.
That means there are 3x blue cubes.
Therefore, there must be 15x green cubes.
In total: we have 19x cubes.
Therefore the probability of a cube being yellow is x / 19x
which simplifies to 1/19
Answer:
1/19
Step-by-step explanation:
Solution:-
- First we will define the distribution of colors in the bag.
- We will use variable:
x: the number of yellow cubes in bag
- The following color distribution can be made by using the data given in the question:
Color Number of cubes
Yellow x
Blue 3*x = 3x
Green 3x*5 = 15x
======================================
Total 19x
======================================
- Sarah is to draw a cube from the bag. We are to determine the probability that the randomly picked cube would be yellow. We will denote our event as randomly picking a yellow cube from the bag with a defined finite distribution.
p ( Picks Yellow cube ) = [ Number of yellow cubes ] / [ Total cubes ]
p ( Picks Yellow cube ) = [ x ] / [ 19x ]
p ( Picks Yellow cube ) = 1 / 19 .... Answer
Jane’s mobile phone plan charges $0.05 per minute at daytime rates before 8 p.m. and $0.03 per minute at nighttime rates after 8 p.m. A conference call costs 1.5 times the normal rate. Calculate the cost of a conference call lasting from 7 p.m. to 8:30 p.m.
Answer
5.85
Step-by-step explanation:
$0.05 x 1.5 = 0,075 x 1 hour (60) = 4,5
$0.03 x 1.5 = 0,045 x half an hour (30) = 1,35
So 4.5 + 1.35 = 5.85
Answer:
Step-by-step explanation:
Cost of the conference call before 8 pm =0.15 * 0.05 = $ 0.075
Cost of the conference call after 8 pm = 0.15 * 0.03 = $ 0. 045
Cost of the conference call from 7pm to 8pm that last 60 minutes= 0.075 * 60
= $ 4.50
Cost of the conference call 8pm to 8:30pm =0.045 * 30 = $ 1.35
Cost of the conference call 7 pm to 8:30 pm = 4.50 + 1.35 = $ 5.85
PLEASE ANSWER ASPAA The x-intercept of the equation 2y – x = -6 is: 3. -3. 6. None of these choices are correct.
Answer:
x = 6
Step-by-step explanation:
The x-intercept of the equation is where the graph crosses the x-axis when y = 0. So, we simply plug in 0 for y:
2(0) - x = -6
0 - x = -6
-x = -6
x = 6
Alternatively, you can graph the equation into a graphing calc and analyze where the graph crosses the x-axis.
Given each set of vertices, determine whether PQRS is a rhombus, a rectangle, or a square. List all that apply. Explain your reasoning, P(-2, -3). Q(2, - 6). R(6. - 3). S(2, 1)
Answer:
RectangleStep-by-step explanation:
Given the coordinates P(-2, -3). Q(2, - 6). R(6. - 3). S(2, 1), to determine the type of shape the quadrilateral is, we need to find the measure of the sides. To get the measure of each sides, we will take the distance between the adjacent coordinates using the formula to formula for calculating the distance between two points as shown;
D = √(x₂-x₁)²-(y₂-y₁)²
For the side PQ with the coordinate P(-2, -3). Q(2, - 6)
PQ = √(2-(-2))²-(-6-(-3))²
PQ = √(2+2)²-(-6+3)²
PQ = √4²-(-3)²
PQ = √16-9
PQ = √7
For the side QR with the coordinate Q(2, - 6) and R(6, -3)
QR = √(6-2))²-(-3-(-6))²
QR = √(4)²-(3)²
QR = √16-9
QR = √7
For the side RS with the coordinate R(6. - 3) and S(2, 1)
RS = √(2-6)²-(1-(-3))²
RS = √(-4)²-(1+3)²
RS = √16-(4)²
RS = √16-16
RS = 0
For the side PS with the coordinate P(-2, -3) and S(2, 1)
PS = √(2-(-2))²-(1-(-3))²
PS = √(4)²-(1+3)²
PS = √16-(4)²
PS = √16-16
PS = 0
For the quadrilateral to be a rectangle, then two of its sides must be equal and parallel to each other. A rectangle is a plane shape that has two of its adjacent sides equal and parallel to each other. Since two of he sides are equal i.e RS = PS and PQ = QR then the quadrilateral PQRS is a rectangle. Both rhombus and square has all of its sides equal thereby making them wrong.
A group of dragons and sheep are randomly divided into 2 equal rows. Each animal in one row is directly opposite an animal in the other row. If 75 of the animals are dragons, and the number of sheep opposite sheep is 10 more than the number of dragons opposite dragons, find the total number of animals in the group.
Answer:
Total number of animals in the group = 170
Step-by-step explanation:
Let the number of sheep = a
Number of dragons in the group = 75
Number of dragons opposite dragons = 37
Number of sheep opposite to the dragon = 1
Number of sheep left = a - 1
Number of sheep opposite to sheep = [tex]\frac{(a-1)}{2}[/tex]
Since. number of sheep opposite to sheep is 10 more than of dragons opposite dragons,
[tex]\frac{(a-1)}{2}[/tex] = 37 + 10
[tex]\frac{(a-1)}{2}=47[/tex]
a - 1 = 94
a = 95
Then total number of animals in the group = Total number of sheep + Total number of dragons
= 95 + 75
= 170
Therefore, total number of animals in the group are 170.
pleaseeeeeeeeee helllllllpppppp pleaseeeeee hellpppp
Answer:
a. u = 19b. t = 6c. a = 2Step-by-step explanation:
a. Given,
v = 34 , a = 5 , t = 3
[tex]v = u + at[/tex]
plugging the values:
[tex]34 = u + 5 \times 3[/tex]
Calculate the product
[tex]34 = u + 15[/tex]
Move 'u' to L.H.S and change its sign
[tex] - u + 34 = 15[/tex]
Move constant to RHS and change its sign
[tex] - u = 15 - 34[/tex]
Calculate
[tex] - u = - 19[/tex]
The difference sign (-) will be cancelled in both sides:
[tex]u = 19[/tex]
b. Given,
v = 50 , u = 20 , a = 5
[tex]v = u + at[/tex]
plugging the values
[tex]50 = 20 + 5 \times t[/tex]
[tex]50 = 20 + 5t[/tex]
Move 5t to L.H.S and change its sign.
Similarly, Move 50 to R.H.S and change its sign
[tex] - 5t = 20 - 50[/tex]
Calculate
[tex] - 5t = - 30[/tex]
The difference sign (-) will be cancelled in both sides
[tex]5t = 30[/tex]
Divide both sides of the equation by 5
[tex] \frac{5t}{5} = \frac{30}{5} [/tex]
Calculate
[tex]t = 6[/tex]
c. Given,
v = 22 , u = 8 , t = 7
[tex]v = u + at[/tex]
plugging the values
[tex]22 = 8 + a \times 7[/tex]
[tex]22 = 8 + 7a[/tex]
Move 7a to LHS and change its sign
Similarly, Move constant to R.H.S and change its sign
[tex] - 7a = 8 - 22[/tex]
Calculate
[tex] - 7a = - 14[/tex]
The difference sign (-) will be cancelled in both sides
[tex]7a = 14[/tex]
Divide both sides of the equation by 7
[tex] \frac{7a}{7} = \frac{14}{7} [/tex]
Calculate
[tex]a = 2[/tex]
Hope this helps...
Good luck on your assignment..
solve systems by substitution method x + y = 20 3x + 4y = 72
Answer:
x = 8; y = 12.
Step-by-step explanation:
x + y = 20
x = -y + 20
3x + 4y = 72
3(-y + 20) + 4y = 72
-3y + 60 + 4y = 72
y = 12
x + 12 = 20
x = 8
Check your work!
3(8) + 4(12) = 72
24 + 48 = 72
72 = 72
Hope this helps!
Answer:
X=-12 and Y= 32
Step-by-step explanation:
x+y=20 -> 1
3x+4y=72 -> 2
Form 1,
[x+y=20]×4
4x+4y=60 ->3
Form 2,
3x+4y=72
4y= 72 -3x ->4
Sub (4) into (3)
4x+72-3x= 60
x = -12
Sub X=-12 into (1)
-12+y=20
y= 32
Hope this helps.
A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of pi
Answer:
288π
Step-by-step explanation:
V=4 /3πr^3 is the formula. We have the diameter, so the radius is half (6). We now have V=4 /3π(6)^3 = 4/3π216 = 288π.
4) John's sister is 8 years less than twice his age. If John is 39, what age is his sister?
Answer:
Sister is 70
Step-by-step explanation:
John is 39.
8 less than twice his age is
39*2-8 = 70
Answer:
70 years old.
Step-by-step explanation:
Since John's sister is 8 years younger than TWICE his age, we just need to multiply 39*2 which equals 78. Now we just need to subtract 8 which equals 70.
Hope this helps!! <3
Find the area of this shape.
4 cm
2 cm
4 cm
4 cm
-
1
5.75 cm
1
1
The area of the shape is __
square centimeters.
Answer:
shape AREA= 35cm^2
Step-by-step explanation:
you should know that this shape is a combination of triangle and trapezoid. therefore you have to find the area of each shape and add them.
A=h/2(b1 + b2) for trapezoid
A=2/2((4+4)+4)
A=1*12
A=12cm^2
A=bh/2. for TRIANGLE
A=1/2((4+4)*5.75)
A=1/2(46)
A=23cm^2
shape AREA= triangle AREA + trapezoid AREA
shape AREA=12cm^2 + 23cm^2
shape AREA= 35cm^2
If point Q is reflected across x = 1, what are the coordinates of its reflection image?
Answer:
(-1, -2) last answer
Step-by-step explanation:
x = 1 is a vertical line
Answer:
(-1, -2)
Step-by-step explanation:
This is because the x-coordinate goes 2 units left to the line x = 1 and the y-coordinate remains the same.
HELP ASAP MONEY & WAGES!
Answer: $26.70 per hour
Step-by-step explanation:
Regular hours consists of 8 hrs
Overtime hours is 12 - 8 = 4 hours
Regular pay at "x" per hour = 5(8)(x) = 40x
Overtime pay at "2x" per hour = 5(4)(2x) = 40x
Total pay = 80x
Total Pay = $2136 = 80x
[tex]\dfrac{\$2136}{80}=x[/tex]
$26.70 = x
find the value of x in the figure below. (picture included)
Answer:
Option D. 6√5.
Step-by-step explanation:
Please see attached photo for details.
The value of x can be obtained by using pythagoras theory as illustrated below:
In triangle ΔABC:
x² = z² + 12².... (1)
In triangle ΔABD:
15² = x² + y²...... (2)
In triangle ΔACD:
y² = z² + 3²....(3)
Substitute the value of y² in equation 3 into equation 2. We have:
15² = x² + y²
15² = x² + z² + 3²... (4)
From equation:
x² = z² + 12²
Make z² the subject
z² = x² – 12²
Substitute the value of z² into equation 4. We have:
15² = x² + z² + 3²
15² = x² + x² – 12² + 3²
15² = 2x² – 12² + 3²
225 = 2x² – 144 + 9
Collect like terms
225 + 144 – 9 = 2x²
360 = 2x²
Divide both side by 2
360/2 = x²
180 = x²
Take the square root of both side
x = √180
Expressing in surd form, we have:
x = √(36 x 5)
x = √36 x √5
x = 6√5
Can someone pls help will mark u as brainliest
Answer:
9*((2-1)/9)
or
2 -1
9
2-9 =-7
9. 9
9× -7
9
=-7
2- 3
9. -3
=(1.22222222222)
or
11/9
or
1*(2/9)
I need help with this
Answer:
86.55 ft
Step-by-step explanation:
First find the perimeter for 3 sides of the rectangle that are solid
24+15+24 = 63
The we find the circumference for 1/2 of the circle
C = pi d
The diameter is 15 and pi = 3.14
But we only want 1/2
1/2 C = 1/2 pi d
= 1/2 ( 3.14) * 15
=23.55
Add the lengths together
23.55+63 =86.55 ft
In a study with four groups and 10 participants in each group, the sum of squares for the between-groups source of variation is 60. What is the value for the mean square between groups in this study
Answer:
20
Step-by-step explanation:
Given that:
The study group n = 4
number of participants = 10
the sum of squares for the between-groups source of variation is 60
The objective is to determine the mean square between groups in this study
The mean square between groups in this study compares the means of the group with the sum of squares for the between-groups source (i.e the grand mean)
For this analysis;
the degree of freedom = n-1
the degree of freedom = 4 - 1
the degree of freedom = 3
Thus; the mean square between groups = [tex]\dfrac{60}{3}[/tex]
the mean square between groups = 20
Paige launched a ball using a catapult she built. The
height of the ball (in meters above the ground) t seconds
after launch is modeled by
h(t) = -5t2 + 40t
Paige wants to know when the ball will hit the ground.
1) Rewrite the function in a different form (factored
or vertex) where the answer appears as a number in
the equation.
h(t) =
2) How many seconds after launch does the ball hit
the ground?
seconds
Answer:
5 seconds ma boii
Step-by-step explanation:
i just took tha test
Answer:
1) h(t) = -5t(t - 8)
t - 8 = 0, so
2) t = 8 seconds
Step-by-step explanation:
A cylinder has radius r and height h. A. How many times greater is the surface area of a cylinder when both dimensions are multiplied by a factor of 2? 3? 5? 10? B. Describe the pattern in part (a).
Answer: A. Factor 2 => 4x greater
Factor 3 => 9x greater
Factor 5 => 25x greater
Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:
A = 2.π.r.h
A cylinder of radius r and height h has area:
[tex]A_{1}[/tex] = 2πrh
If multiply both dimensions by a factor of 2:
[tex]A_{2}[/tex] = 2.π.2r.2h
[tex]A_{2}[/tex] = 8πrh
Comparing [tex]A_{1}[/tex] to [tex]A_{2}[/tex] :
[tex]\frac{A_{2}}{A_{1}}[/tex] = [tex]\frac{8.\pi.rh}{2.\pi.rh}[/tex] = 4
Doubling radius and height creates a surface area of a cylinder 4 times greater.
By factor 3:
[tex]A_{3} = 2.\pi.3r.3h[/tex]
[tex]A_{3} = 18.\pi.r.h[/tex]
Comparing areas:
[tex]\frac{A_{3}}{A_{1}}[/tex] = [tex]\frac{18.\pi.r.h}{2.\pi.r.h}[/tex] = 9
Multiplying by 3, gives an area 9 times bigger.
By factor 5:
[tex]A_{5} = 2.\pi.5r.5h[/tex]
[tex]A_{5} = 50.\pi.r.h[/tex]
Comparing:
[tex]\frac{A_{5}}{A_{1}}[/tex] = [tex]\frac{50.\pi.r.h}{2.\pi.r.h}[/tex] = 25
The new area is 25 times greater.
B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.
Please help Asap!!!Math question
Answer:
first one
Step-by-step explanation: