a quadratic patterns has a second term equal to 1,a third term equal to -6 and fifth term equal to -14 .hence or otherwise calculate the first term of the pattern
Answer:
first term of the pattern (T₁) : 10
Step-by-step explanation:
T₁ ; 1 ; -6 ; T₄ ; -14
1-T₁ ; -6-1 ; T₄-(-6) ; -14 -T₄ (First Tₙ-Tₙ₋₁)
-8+T₁ = T₄+13 = -2T₄-20 (2nd Tₙ-Tₙ₋₁ is constant)
T₄+13 = -2T₄-20 3T₄ = -33 T₄ = -11
-8+T₁ = T₄+13 -8 + T₁ = -11 + 13 = 2
T₁ = 10
what is the volume of the rectangular prism?
Answer:
7 square yards
Step-by-step explanation:
3 of these blocks make a yard so
L * W * H
2 1/3 * 1 * 3 = 7/3 * 3 = 7
answer 7 square yards
Three friends were comparing how much money they each have saved. Sami has $41.79. Charlotte has $38.91. Celeste has $41.68. Which list shows the names in order from least amount saved to greatest?
Sami, Celeste, Charlotte
Charlotte, Celeste, Sami
Celeste, Sami, Charlotte
Charlotte, Sami, Celeste
Answer:
B
Step-by-step explanation:
i got it right
Pls help. Im so lost.
Answer:
x = 35 degrees
Step-by-step explanation:
supplementary angles = 180 degrees
m<A + m<B = 180
(2x - 5) + 3x = 180
5x - 5 = 180
5x = 175
x = 35
WILL GIVE BRAINLIST PLS HELP Find z. Just write the number. Answer should be a whole number.
Answerz=16
Step-by-step explanation:
Find legit BD
I need help for my assignment
Answer:
BD = 4
Step-by-step explanation:
∆BAD is congruent to ∆CAD based on the AAS Congruence Theorem.
Therefore:
BD = CD
3x + 1 = 5x - 1 (substitution)
Collect like terms
3x - 5x = -1 - 1
-2x = -2
Divide both sides by -2
x = -2/-2
x = 1
✔️BD = 3x + 1
Plug in the value of x
BD = 3(1) + 1
BD = 3 + 1
BD = 4
Find the lengths of the missing side. Round your answer to the nearest tenth
Answer:
11.2 cm
Step-by-step explanation:
The missing side = the hypotenuse
Apply pythagorean theorem to find he hypotenuse which is given as:
c² = a² + b³
a = 10 cm
b = 5 cm
c = Hypotenuse (missing side)
(Hypotenuse)² = 10² + 5² = 125
Hypotenuse = √125
Hypotenuse = 11.1803399 ≈ 11.2 cm (nearest tenth)
WILL MARK BRAINLIEST!! Just help me out with number 2 please. :)
Here is an inequality: -2x > 10.
1. List some values for x that would make this inequality true.
Answer: Any negative number above -5, like -6, -7, etc.
2. How are the solutions to the inequality -2x ≥ 10 different from the solutions to
-2x > 10? Explain your reasoning.
9514 1404 393
Answer:
-5 is included in the solution set of the first, but not the second
Step-by-step explanation:
The solution to -2 ≥ 10 is x ≤ -5. The solution to -2x > 10 is x < -5. The difference is that x = -5 is included in the solution set of the first inequality, but is not included in the solution set of the second inequality.
When plotted on a number line, the former inequality has a solid dot at -5, indicating that point is included. The latter inequality has an open dot (circle) at -5, indicating that point is not included. (Both plots are shaded to the left of the dot.)
ill mark brainlist plss help
Answer:
25 in²
Step-by-step explanation:
formula for area of a triangle:
1/2(bxh)
1/2(5x10)
1/2(50)
25
Answer:
D. [tex]25^{2}[/tex]
Step-by-step explanation:
Can someone please help me?
I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!
Answer:
Step-by-step explanation:
Volume of a cylinder formula = πr^2h
r (radius) = 5/2 = 2.5
h (height) = 3
Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units
Select the correct product.
(x2 + 4x + 8)(2x - 1)
x2 + 8 x - 8
x2 + 6 x + 7
2 x3 - 7 x2 - 12 x - 8
2 x3 + 7 x2 + 12 x - 8
Answer:
2 x^3 + 7 x^2 + 12 x - 8
Step-by-step explanation:
To find the product you just had to simplify the expression.
Answer:Answer:
2 x^3 + 7 x^2 + 12 x - 8
Step-by-step explanation:
To find the product you just had to simplify the expression.
here's my face I just dyed my hair-
Answer:
that looks nice
Step-by-step explanation:
the hair looks cool
Solve the following question:
Q1: A family has booked a long holiday in Skragness, where the probability of rain on any particular day is 0.3.
a) Find the probability that the first day to rain will be on the third day of their holiday.
b) Find the probability chance that it will not rain for the first 2 weeks of their holiday.
[hint: X~Geo(0.3) a) P(X=__), b) P(X<__)]
Q2: If G~B(42, 7/12)
a) Find E(G) and Var(G) giving your answer as a fraction or mixed number
b*) Find P(G=20) correct to 3 significant figures.
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
A cylinder and a cone have the same height and radius. The height of each is 5 centimeters, and the radius is 2 centimeters. Calculate the volume of the cylinder and the cone (rounded to the nearest tenth). Use 3.14 as an approximation for n. PLS HELP 15 POINTS
Answer:
Step-by-step explanation:
volume of cylinder = πr²h = 3.14·2²·5 = 62.8 cm³
volume of cone = ⅓πr²h = ⅓·62.8 ≅ 20.9 cm³
The volume of the cone is 10.5 cm³. The volume of the cylinder is 31.4 cm³
What is the volume of the cylinder and the cone?
Volume of a cone = 1/3(nr^2h)
n = 22/7
r = radius
h = height
1/3 x 3.14 x 5 x 2 = 10.5 cm³
Volume of the cylinder = nr^2h
3.14 x 5 x 2 = 31.4 cm
To learn more about the volume of a cone, please check: https://brainly.com/question/13705125
the ages of six boys are given as 12 years 3 months, 18 years, 13 years 7 months, 17 years 2 months 15 years and 14 years respectively. what is their average age?
Answer:
15 years (180 months)
Step-by-step explanation:
turn it into months first
147
216
163
206
180
168
add them together, then divide by how many there are
1,080/6=180 months
180/12 =15
Rotational symmetry of 2D shapes
Choose all that apply
Answer:
B and C
Step-by-step explanation:
I think that this is right.
A pentagon's lines of symmetry go thru an angle and the middle of a side. Every 72 degrees, the pentagon in split into identical halves. Same with 144 because it is basically 2 72 degree rotations.
Answer:
72
Step-by-step explanation:
The order of rotational symmetry of a regular pentagon is 5.
To find the angle of rotation we divide 360 by the number of sides
360/5=72
so the angle of rotation is 72 degrees.
let: f(x)=x+1 and g(x)=x^2-2
find: f(x)•g(x)
Answer: x3+x2−2x−2
Step-by-step explanation: Use the given functions to set up and simplify f ( x ) ⋅ ( g ( x ) ) .
Brainliest or a thank you please! have a great day/night
Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit. The production group believes that the mean weight has changed. They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces. What conclusion can we make from the appropriate hypothesis test at the .01 level of significance
Answer:
We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.
Step-by-step explanation:
Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.
This means that the null hypothesis is: [tex]H_0: \mu = 12[/tex]
The production group believes that the mean weight has changed.
This means that the alternate hypothesis is:
[tex]H_a: \mu \neq 12[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
12 is tested at the null hypothesis:
This means that [tex]\mu = 12[/tex]
They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.
This means, respectibely, that [tex]n = 15, X = 12.05, \sigma = 0.08[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}[/tex]
[tex]z = 2.42[/tex]
Pvalue of the test:
We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.
Looking at the z-table, z = 2.42 has a pvalue of 0.9922
1 - 0.9922 = 0.0078
2*0.0078 = 0.0156
What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?
0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.
how many meters are equal to 5,253 centimeters? use how the placement of the decimal point changes when dividing by power of 10 to help you
Answer:
[tex]52.53\ \text{meters}[/tex]
Step-by-step explanation:
[tex]1\ \text{meter}=100\ \text{centimeter}[/tex]
[tex]1\ \text{centimeter}=\dfrac{1}{100}\ \text{meter}[/tex]
In the question the quantity that is required to be converted to meters is 5253 centimeters.
[tex]5253\ \text{cm}=5253\times \dfrac{1}{100}\\ =52.53\ \text{meters}[/tex]
So, the required measurement in meters is [tex]52.53\ \text{meters}[/tex].
Solve the equation by completing the square.
a2 - 14a - 32 = 0
Answer:
a=16,-2
Step-by-step explanation:
Use the formula (b/2)^2 in order to create a new term. Solve for a by using this term to complete the square.
Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal.) The results were as follows:
Duration of Exposure
< 1 1 to < 5 >= 5
Diseased 12 10 18
Sensitized 14 18 13
Normal 66 142 210
Required:
a. Compute the expected frequencies of diseased workers.
b. Compute the expected frequencies of sensitized workers.
c. How many degrees of freedom are there?
Answer:
1. Has been answered below
2. Degree of freedom is 4
Step-by-step explanation:
Row 1: 12+10+18 = 40
Row 2: 14+18+13 = 45
Row 3: 66+142+210 = 418
Grand total = 40+45+418 = 503
Column 1 : 12+14+66 = 92
Column 2: 10+18+142 = 170
Column 3: 18+13+210 = 241
Total = 92+170+241 = 503
Expected frequencies of diseased workers
92x40/503 = 7.316
170x40/503 = 13.52
241 x 40/503 = 19.165
Expected frequencies of sensitized workers
92x45/503 = 8.23
170x45/503 = 15.20
241x 45/503 = 21.56
2.
Degree of freedom
= (Number of row -1)(number of column - 1)
= 3-1 * 3-1
= 2x2
= 4
If the temperature was -24 degrees yesterday. If the temperature is 5 degrees now. What was the temperature change
Answer:
The temperature went up by 29 degrees.
Step-by-step explanation:
Since -24 is negative,
Add 5 to 24 = 29.
PLSSS ANSWERRR HAVE TO HAVE IT DONE IN 10 MIN
Answer:
466.2 ft²
Step-by-step explanation:
10x24=240
1/2[tex]\pi[/tex]12²=226.194671
240+226.194671=466.194671
If 78% of the total is 156 marks, find the total marks in the test
200
206
176
210
Explain the difference between a percent and a unit rate.
Answer:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation:
I WILL GIVE BRAINLIEST !!!What is the product of 4 and 7?
7
O
o
8 9
14
9
14
7
8
Answer:
8? I think I'm not quite sure. lmk
Priya rewrites the expression 8y−24 as 8(y−3). Han rewrites 8y−24 as 2(4y−12). Are Priya's and Han's expressions each equivalent to 8y−24? Explain your reasoning
Answer:
sdfsefsesfsfsefsefsefsefsfsefesef
Step-by-step explanation:
I have to do a math test what is 8 + (7 + 1) 2 ÷ 4 ⋅
Answer:
8
Step-by-step explanation:
taking my points back because you answered with spam.
35% of students enrolled in collage are freshmen. if the total enrollment of the collage is 2800, how many of the students are freshmen?
Answer:
980 students are freshmen.
Step-by-step explanation:
2800*.35=980
A hardware store received 2.5 tons of
lumber. What is the weight of the
lumber in pounds?
A 50,000 pounds
® 25,000 pounds
5,000 pounds
D 2,500 pounds
Answer:
5000 pounds
Step-by-step explanation:
Hello There!
There are 2000 pounds in 1 ton
So to convert tons to pounds we multiply by 2000
2.5x2000=5000
So 2.5 tons is the equivalent if 5000 pounds