Answer:
your answer is -35.
Step-by-step explanation:
let the first 7 terms be 1,2,3,4,5,6, and 7.
we have ,
general term t_n = -3n +7 ,then
t_1 = -3*1 +7
= -3+7
= 4
t_2 = -3*2 +7
= -6 +7
= 1
t_3 = -3*3 +7
= -9+7
= -2
t_4 = -3*4 +7
= -12+7
= -5
t_5 = -3*5 +7
= -15+7
= -8
t_6 = -3*6 +7
= -18+7
= -11
t_7 = -3*7 +7
= -21+7
= -14
Now, the sum of first seven terms is
4 + 1 + (-2) + (-5) + (-8) + (-11) + (-14)
= 5 -2 - 5 - 8 - 11 - 14
= -35
Answer:
-35
Step-by-step explanation:
Sum of the first 7 terms of AP is:
S_7= 1/2*7(t_1 + t_7)As per general formula t_n= -3n +7 we find the first and seventh terms and the sum of the first 7 terms:
t_1= - 3*1 + 7= 4t_7= - 3*7 + 7= - 14S_7 = 7/2*(4-14)= 7/2*(-10)= - 35Answer is - 35
State whether the data described below are discrete or continuous, and explain why. The numbers of police cars different cities have Choose the correct answer below. A. The data are discrete because the data can take on any value in an interval. B. The data are continuous because the data can only take on specific values. C. The data are discrete because the data can only take on specific values. D. The data are continuous because the data can take on any value in an interval.
Answer:
Option d
Step-by-step explanation:
Continuous data are data that can take on any values within a range while discrete data can only take on particular values.
Thus for this case study, the number of police cars in different cities are usually not specific and may vary, thus this data is continuous.
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°
HELP WILL GIVE 50 POINTS AND BRAINLIEST Graph y>−54x+5.
Answer:
see below
Step-by-step explanation:
y>−5/4x+5
The y intercept is 5
The x intercept is
0 = -5/4x +5
-5 = -5/4x
-5 *-4/5 =- 5/4x *-4/5
4 =x
The x intercept is (4,0)
The line is dotted since there is no equals sign
We shade above the line
area and volume of cylinder 25 points ****
Answer:
Surface Area: 150.796
Volume: 141.372
Step-by-step explanation:
Cylinder Surface Area: 2Πrh+2Πr^2
r=3
h=5
2Π15+2Π9=30Π+18Π=48Π=150.796
Volume: Πr^2h
Π45=141.372
Hope this helps! BRAINLIEST would really help me:)
Answer:
150.8 units²
141.37 units³
Step-by-step explanation:
Surface area of cylinder:
[tex]2 \pi r^2+2 \pi rh[/tex]
[tex]r=3\\h=5[/tex]
[tex]2 \pi (3)^2+2 \pi (3)(5)[/tex]
[tex]18\pi +30\pi[/tex]
[tex]=150.8[/tex]
Volume of the cylinder:
[tex]\pi r^2 h[/tex]
[tex]r=3\\h=5[/tex]
[tex]\pi (3)^2 (5)[/tex]
[tex]45\pi[/tex]
[tex]=141.37[/tex]
Find the slope of the line that contains the following points. R(-3, 5), S(3, -2) 7/6 7/6 undefined
Answer:
-\frac{7}{6}
Step-by-step explanation:
We can use the slope formula for the segment that joins any two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]:
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
which in our case gives:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} = \frac{-2-5}{3-(-3)}=\frac{-7}{6} =-\frac{7}{6}[/tex]
BOTS
TINSS
Self Mastery
1. Pak Kamil is a food committee member for a programme. He buys 10 kg of fish and 6 kg of vegetables for RM136 to
make a feast for the programme. He then adds 4 kg fish and 2 kg of vegetables for RM54. After experiencing some
technical problems, the programme had to be cancelled. If Pak Kamil sells all the fish and vegetables for RM8 and
RM0.50 per kilogram, respectively, what is the total loss experienced by Pak Kamil? Show your calculations.
TP 6
Answer:
The total loss experienced by Pak kamil is RM74
Step-by-step explanation:
The cost of 10 kg and 6 kg of vegetables = RM 136
The cost of 4 kg fish and 2 kg of vegetables = RM 54
Amount for which the fish was sold = RM8 per kilogram
Amount for which the vegetables was sold = RM0.50 per kilogram
The total mass of the fish = 10 kg + 4 kg = 14 kg
The total mass of the vegetables = 6 kg + 2 kg = 8 kg
The amount for which the meat was sold = 14 kg × RM8/kg = RM112
The amount for which the fish was sold = 8 kg × RM0.50/kg = RM4
RM112 + RM4 = RM116
The total amount for which the fish and vegetable was sold = RM136 + RM54 = RM190
Therefore, the total loss experienced by Pak kamil = RM190 - RM116 = RM74.
31. Five more than twice a number is three
times the difference of that number and
two. What is the number?
Answer: 5(x+3)(x-2)
Step-by-step explanation:
just read closely and pay attention in class.
What is the median number of words in Luis’s essays?
Answer:
The median number of words in Luis's essays is 205.5.
Step-by-step explanation:
To find the median number of words in Luis's essay, first arrange the values in the data set in ascending order:
177, 178, 189, 198, 198, 213, 221, 236, 245, 253.
Because the number of values in the data set is an even number (10), the median is the mean of the two middle values, the fifth and sixth values, in the data set. The fifth and sixth values are 198 and 213, respectively. So,
median .
The median number of words in Luis's essays is 205.5.
The median number of words in Luis's essays is 231.
What is the median of data?The median is defined as the value range. To get it, arrange the numbers in ascending order from smallest to largest, then hide one number on either end until you reach the center.
The number of words in Luis's essays arranged in order from smallest to largest is:
177, 178, 189, 198, 198, 210, 213, 221, 228, 231, 231, 236, 236, 244, 245, 245, 245, 253, 259, 286
Since there are 20 numbers in the list, the median will be the average of the 10th and 11th numbers:
Median = [(n/2)th term + ((n/2) + 1)th term]/2
Median = [(20/2)th term + ((20/2) + 1)th term]/2
Median = [10th term + 11th term]/2
Median = [231 + 231]/2
Median = 462/2
Median = 231
Therefore, the median number of words in Luis's essays is 231.
Learn more about the median of data here:
brainly.com/question/28060453
#SPJ3
The complete question is as follows:
Luis and Darcy are required to write essays for their English class. The table shows the number of words t wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228. What is the median number of words in Luis’s essays?
Find the length, x,of the third side of the triangle.
====================================================
Explanation:
This is a visual example of the pythagorean theorem. We add the areas of the two squares to get
13+29.25 = 42.25
Then we apply the square root to this to get the value of x, which is the hypotenuse of the right triangle
x = sqrt(42.25) = 6.5
---------
Side note: if you're curious about finding the other lengths of the triangle, apply the square root to those areas. The blue area 29.25 will lead to a side length of approximately sqrt(29.25) = 5.4083269; the red square will follow the same idea.
Answer:
Step-by-step explanation:
area of a square=a²
A=29.25
a=side=√29.25 first square
second square =a=√13
find x(c)
right triangle: a²+b²=c²
(√29.25 )²+(√13)²=c²
29.25+13=c²
c=√(29.25+13)=6.5 unit
Pls answer this ASAP I need it by the end of the day
Answer:
No
Step-by-step explanation:
Let's calculate sinA and sinB.
sinA = opposite / hypotenuse = 12 / 20
sinB = opposite / hypotenuse = 16 / 20
Since 12 / 20 ≠ 16 / 20, she is incorrect.
find the 1000th term of the sequence below
Answer:
A. 7017
Step-by-step explanation:
common difference is 7
first term of the sequence is 24
by explicit formula a1 + ( n- 1)*d
24 + (1000-1)*7
24+999*7
24+6993
7017
yes help me please i need
I need help ASAP THANK YOU!!
Answer:
A. Volume: 819, Surface Area: 598
B. Surface area
C. Volume
Step-by-step explanation:
Sorry I'm late, but here I go.
The volume of a rectangular prism is [tex]lwh[/tex] or [tex]bh[/tex]. (l being length, w being width, and h being height.)
So if we multiply the 3 values of 13, 9, and 7, we get 819. This is the volume.
To find the surface area, we can take note that 4 sides are the exact same, and the remaining two are the same. Let's find the area of the top/bottom of the prism.
[tex]13\cdot9=117[/tex]
Since there are two, bottom and top:
[tex]117\cdot2 = 234[/tex].
Now, there are the remaining 4 sides. Let's find the area of one then multiply it by 4.
[tex]13\cdot7=91\\91\cdot4=364[/tex]
Adding 364 and 234 gets up 598, so this is the surface area.
If we are painting something, the surface area is being painted, as we can't paint inside the box. However if we fill up the box with something (concrete in this case), it will be the volume.
Hope this helped!
Answer:
a.
v= 819 cm3
sa= 542 cm2
b. surface area
c. volume
Step-by-step explanation:
Volume of a rectangular prism: Length x width x height
Replacing with the values given:
V = 13 x 9 x 7 = 819 cm3
Surface area = S = 2 × (W × L + L × H + H × W)
S = 2 ( [9x13]+ [13 x7] +[7x9]) = 2 ( 117+91+63)= 542 cm2
b . Surface area, because we only have to paint the exterior of the brick.
c. Volume, because is the amount of concrete that the brick has.
The governor of state A earns $53,745 more than the governor of state B. If the total of their salaries is $289,405, find the salaries of each.
Answer:
The salary of the governor of state A is $171,575 and the salary of the governor of state B is $117,830.
Step-by-step explanation:
If the governor of state A's salary is "x" and the governor of state B's salary is "y", then:
[tex]x = y + 53,745[/tex]
If the total of their salaries is $289,405, then the sum of x and y should be equal to that number.
[tex]x + y = 289,405\\[/tex]
Applying the first expression on the second allows us to solve for y as shown below.
[tex]y + 53745 + y = 289405\\2y = 289405 - 53745\\2y = 235660\\y = 117830[/tex]
Using this data on the first expression allows us to solve for the first governo's salary.
[tex]x = 117830 + 53745 = 171575[/tex]
The salary of the governor of state A is $171,575 and the salary of the governor of state B is $117,830.
Which phrase best describes f(x), graphed on the coordinate plane below?
f(x) is an odd function.
f(x) is an even function.
f(x) is both odd and even
f(xl is neither add nor even
Answer: f(x) is an odd function
Step-by-step explanation: The major characteristic of odd functions is that one end of the graph goes down to negative infinity, the other end goes up to positive infinity.
Answer:
f(x) is an odd function.
Step-by-step explanation:
Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = P : P equals StartFraction I Over r t EndFraction.. Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?
$
Answer:
80 dollars
Step-by-step explanation:
l=prt ⇒ p=l/rt
20=p(0.05)(5)
P=20/0.25=80 dollars
Answer:
The answer is $80
Step-by-step explanation:
I just got it right
Which is the value of this expression when p = 3 and q = negative 9? ((p Superscript negative 5 Baseline) (p Superscript negative 4 Baseline) (q cubed)) Superscript 0 Negative one-third Negative StartFraction 1 Over 27 EndFraction StartFraction 1 Over 27 EndFraction One-third
Answer:
Negative StartFraction 1 Over 27 EndFraction
(-1/27)
Step-by-step explanation:
Given expression
(P^-5)(p^-4)(q^3)
When
P=3 and q=-9
(P^-5)(p^-4)(q^3)
=(3^-5)(3^-4)(-9^3)
=(1/3^5)(1/3^4)(-9^3)
=(1/243)(1/81)(-729)
Multiply all numerators
We have,
= (-729)/(243)(81)
Multiply all denominators
= -729/19,683
= -1/27
Negative StartFraction 1 Over 27 EndFraction
Answer:
-1/27
Step-by-step explanation:
What is the critical value for a 99% confidence level, assuming a right-tailed test? Please provide an explanation! I can't figure this out at all.
Answer:
A 99% confidence level is saying that you are 99% positive that you null hypothesis will not be rejected. The critical value that comes with the confidence level is the Z-score. The Z-score can usually be found using the Z-score table found online. The Z-score for 99% confidence is 2.575. If they give you the Z-score and tell you to find it on a right tail graph you subtract the given z-score from alpha which is .5 and find what you got on the z-score table.
Ex: Given Z-score- 0.0079
.0079 - .5(alpha)= 0.4921.
The closest area to 0.4921 is 0.4922 at z = 2.42.
Hope this helps
What the answer now question correct answer fast
v = 17 is your answer as an intergers or as a decimal rounded to the nearest tenth
Which of these is a solution to the equation graphed below?
Answer:
see explanation
Step-by-step explanation:
Any point that lies on the line is a solution to the equation.
Thus
(0, 1 ), (2, 0 ), (- 2, 2), (4, - 1 ) are all solutions
Answer:
[tex]\boxed{(6, -2)}[/tex]
Step-by-step explanation:
Any of the points that lies on the line is the solution to the equation of the line.
(-2, 2), (0, 1), (2, 0), (4, -1), (6, -2) are all solutions.
Part 2: describe the shape of your cross section of a slice of banana at 45° angle to a space draw picture of the sheep. Part 3: describe the shape of a cross sections if you slice banana and half with a cut perpendicular to its base draw a picture of the shape (hint remember to think of a banana a cylinder)
Answer:
Part 2:
The shape of a banana cut in 45° angle is that of a curve that is closed with the appearance of a flattened circle or an oval similar to an ellipse therefore having two focal points
The drawing of the angle cross section of a cylinder representing the banana is attached
Part 3:
When the banana is cut in half, perpendicular to the base of the banana, the shape formed is circular withe the center of the banana being about the same location as the center of the circle
The drawing of the perpendicular cross section of a cylinder representing the banana is
Step-by-step explanation:
Simplfiy the expression 96 ÷4+5x2²
Answer:
44
Step-by-step explanation:
96 divided by 4 add 5 times 2 squared equals 44
Answer:
44
Step-by-step explanation:
BIDMAS
B: Brackets
I: Indices
D: Division
M: Multiplication
A: Addition
S: Subtraction
96 divided by 4 + 5 x 2^2
96 divided by 4 + 5 x 4
96 divided by 4 = 24
24 + 5 x 4
24 + 20
24 + 20 = 44
Pls hurry! Will make brainliest!! What is the formula that relates circumference and diameter?
Answer:
Circumference = πd
where d = diameter
Step-by-step explanation:
When using this formula you don't need to multiply by 2 like you do when using the radius because the diameter is twice the radius of a circle.
Answer:
There are actually two formulas c=πd or pi=c/d.
Step-by-step explanation:
This is how they relate to each other. Let's say you were to isolate for pi. So, for 2pir, we have to divide both sides by 2r or the diameter. 2r=d because the diameter is equal to having two radii or radiuses. When you isolate pi, you will see that pi= to the circumference, c, divided by the diameter, d. Therefore, you can say that the circumference is approximately 3.14 or pi times greater than the diameter. In fact, that is what pi is. It is a ratio that shows the relationship between the circumference and the diameter. In other words, pi=c/d. Hope this helps!
What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters
Answer:
the height of the prism =3cm
Step-by-step explanation:
From the question :there is 30 square centimeters, we can deduce this is the area due to the unit
the volume is 90 cubic centimeters
Volume of prism = Area of base × height
We are to determine the height
90cm³ = 30cm² × height
divide both sides by 30cm²
height = 90cm³/30cm²
height = 3cm
Therefore the height of the prism is 3centimeters
The radii of two cylinders are in the ratio 1 : 4 and their heights are in the ratio 3 : 1. The ratio of their lateral surface area is ________. (a) 3 ∶ 4 (b) 4 : 3 (c) 9 : 16 (d) 16 : 9
Answer:
a
Step-by-step explanation:
Cylinders:
Ratio of radii = 1 : 4
Radius of two cylinders are: r , 4r
Ratio of height = 3 :1
Height of two cylinders are: 3h , h
Lateral surface area of cylinder = 2πrh
Ratio of lateral surface area= 2π* r * 3h : 2π* 4r * h
= 3 : 4
Find the area of the shaded region
if the radius of the big circle is 12 cm.
PLEASE HELP!
Answer:
~226.195cm 2
Step-by-step explanation:
1. Because the shaded region is exactly one half of the circle, this means the Shaded area = 1/2 larger circle area
2. Calculate the area of the circle using the radius
3. Use that halved to get your final answer.
Hope this helped! Comment if you have any questions. :)
Figure ABCD is a parallelogram. Parallelogram A B C D is shown. Angle A is (4 p + 12) degrees and angle C is 36 degrees. What is the value of p? 6
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
i checked on edge
4sinθ – 1 = - 3 for 0<θ< 360
Answer:
[tex] \theta = 210^\circ [/tex] or [tex] \theta = 330^\circ [/tex]
Step-by-step explanation:
[tex] 4 \sin \theta - 1 = -3 [/tex]
[tex] 4 \sin \theta = -2 [/tex]
[tex] \sin \theta = \dfrac{-2}{4} [/tex]
[tex] \sin \theta = -0.5 [/tex]
For sin θ = 0.5, the reference angle is θ = 30 deg.
[tex] \sin 30^\circ = 0.5 [/tex]
[tex] \theta = 210^\circ [/tex] or [tex] \theta = 330^\circ [/tex]
BRAINLIEST, 5 STARS, THANKS AND 100 POINTS IF ANSWERED BOTH CORRECTLY. --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 3, 2, 1, 0, -1 A) y = x + 1 B) y = x - 1 C) y = -x + 1 D) y = -x - 1 --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 14, 11, 8, 5, 2 A) y = 3x + 8 B) y = -3x - 8 C) y = 3x - 8 D) y = -3x + 8 -------------------- Thank you if you answered both correctly!
Answer:
1: C) y = -x + 1
2: D) y = -3x + 8
Step-by-step explanation:
Well number 1,
c is the correct option because,
-2 -> 2
2+1 - 3
This rule applies for all the x values.
2,
X: -2, -1, 0, 1, 2
Y: 14, 11, 8, 5, 2
d is the correct option because -3*-2 is 6 + 8 = 14.
this rule applies for all x values.
Thus,
the answers are C and D.
Hope this helps :)
Determine what type of model best fits the given situation: An Internet phone company presently provides service to 5,000 customers at a monthly rate of $20 per month. After a market survey, it was determined that for each $1 decrease in the monthly rate an increase of 500 new customers would result. A. linear B. quadratic C. none of these D. exponential
Answer:
The best fit is A. Linear model
Step-by-step explanation:
Given:
Monthly Rate = $20, Number of customers = 5000
If there is a decrease of $1 in the monthly rate, the number of customers increase by 500.
To find:
The type of model that best fits the given situation?
Solution:
Monthly Rate = $20, Number of customers = 5000
Let us decrease the monthly rate by $1.
Monthly Rate = $20 - $1 = $19, Number of customers = 5000 + 500 = 5500
Let us decrease the monthly rate by $1 more.
Monthly Rate = $19 - $1 = $18, Number of customers = 5500 + 500 = 6000
Here, we can see that there is a linear change in the number of customers whenever there is decrease in the monthly rate.
We have 2 pair of values here,
x = 20, y = 5000
x = 19, y = 5500
Let us write the equation in slope intercept form:
[tex]y =mx+c[/tex]
Slope of a function:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{5500-5000}{19-20}\\\Rightarrow -500[/tex]
So, the equation is:
[tex]y =-500x+c[/tex]
Putting x = 20, y = 5000:
[tex]5000 =-500\times 20+c\\\Rightarrow c = 5000 +10000 = 15000[/tex]
[tex]\Rightarrow \bold{y =-500x+15000}[/tex]
Let us check whether (18, 6000) satisfies it.
Putting x = 18:
[tex]-500 \times 18 +15000 = -9000+15000 = 6000[/tex] so, it is true.
So, the answer is:
The best fit is A. Linear model