Answers
Answer:
Ab^2 = CA^2 + BC^2
8^2 = 6^2 + a^2
64 = 36 + a^2
64-36 = a^2
28 = a^2
square root of 28 = square root of a^2
5 ,29 = a
5 = a
Related Questions
if angle x=55% and angle y=35, calculate the following 1.cos(x+y)
Answers
Answer:
cos(X+Y) = cos(55+35) = cos(90) = 0
Step-by-step explanation:
cos(X+Y) = cosXcosY - sinXsinY
cos(55+35) = cos(55)cos(35) - sin(55)sin(35)
cos(55+35) = cos(55)cos(35) - cos(90-55)cos(90-35)
cos(55+35) = cos(55)cos(35) - cos(35)cos(55)
cos(55+35) = 0
cos(90) = 0
In problem formulation, the a. constraints are expressed in terms of the obtained objective function coefficients. b. objective is expressed in terms of the decision variables. c. nonnegativity constraints are always ignored. d. optimal solution is decided upon.
Answers
Answer: B. objective is expressed in terms of the decision variables
Step-by-step explanation:
Linear programming refers to an optimization technique that is used for a linear constraints system and the objective function.
The objective function simply means the quantity that an individual wants to optimize. It should be noted that the aim of linear programming is to get the values of the variables which will minimize or maximize the objective function. In problem formulation, objective is expressed in terms of the decision variables.
Therefore, the correct option is B
(3^6/7^-3)= Please I need help!!!
Answers
Answer: [tex]\frac{243}{7}[/tex]
Steps:
[tex]\frac{3^6}{7^-\cdot \:3}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:3[/tex]
[tex]=\frac{3^5}{7}[/tex]
[tex]3^5=243[/tex]
[tex]=\frac{243}{7}[/tex]
Hope This Helps!
The interest for a bank account is compounded quarterly. The equation 480(1.08)12 is used to calculate the value of the account after some amount of time.
The yearly interest rate for the account is
8%
3%
2%
32%
12%
Answers
Answer:
8%
Step-by-step explanation:
1.08 is an increase of 0.08, which is 8%
Answer: 3%
Step-by-step explanation:
since the total amount ended up being 12 your going to divide by 4 which is the quartly amount which is how u end up with 3%.
Raj builds a side table in the shape of a cube. Each edge of the cube measures 21 inches. Raj wants to cover the top and four sides of the table with ceramic tiles. Each tile has an edge length of 3 inches. How many tiles will he need?
Pls answer fast
Answers
Answer: 2000/25 = 80 tiles
Step-by-step explanation:
Date: s=20
equation of surface area of a cube prism: surface area = 6s*2
the surface area to be covered with tiles is requires, the base is not included, so the equation reduces: surface area = 5s*2
subtitute values: surface area = 5(20)*2
= 5(400)
surface area = 2000
area of 2 tile is 5*2 = 25 square inches
2000/25 = 80 tiles
Classify the polynomial by the number of terms.
mx+b
•Trinomial
•Monomial
•Polynomial
•Binomial
Answers
Classification:
Monomial: One term
Mono = One
Polynomial: Multiple terms e.g. (2,3,4 and so on)
Poly: Many
Binomial: Two terms
Bi = Two
Trinomial: Three terms
Tri = Three
The expression of "mx + b" would be classified as a monomial due to it having only one exponent.
Solve this equation by Euclid's application of areas: x^2 + 12x = 64.
Answers
Answer:
4
Step-by-step explanation:
The Coopers own two vehicles, a mini-van and sedan. The following functions represent the resale value of both cars, in thousands of dollars,
after x years.
Mini-Van: f(1) = 32(0.8)*
Sedan: g(t) = 25(0.8)
Write function t that represents the total resale value, in thousands of dollars, of the two vehicles.
Answers
Answer:
[tex]h(x) = 57(0.8)^x[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 32(0.8)^x[/tex]
[tex]g(x) = 25(0.8)^x[/tex]
Required
A function that represents the total resale value of the two vehicles
To do this, we simply add up the functions
[tex]h(x) = f(x) + g(x)[/tex]
[tex]h(x) = 32(0.8)^x + 25(0.8)^x[/tex]
Factorize
[tex]h(x) = (32 + 25)(0.8)^x[/tex]
[tex]h(x) = 57(0.8)^x[/tex]
4 (x + 2.5) = 48
Explain your reasoning as well.
Answers
Answer: 9.5 is the answer. You have to distribute through.
Explain: 4x+10=48
Subtract 10 from both sides you get 4x=38. Then divide both sides by 4 you get 9.5.
Simplify the expression.
4y-y(3 - 7y) + 5+ 2(8- y)
A.)7y2-y +21
B.)-7y2 - y + 21
C.)-8y + 21
D.)-7y+21
Answers
Answer:
The answer is B
Step-by-step explanation:
4y-3y+7y²+5+16-2y
7y²+4y-3y-2y+5+16
7y²-y+21
Consider the following data that represents gas mileages per gallon (mpg) of randomly selected cars of a particular brand.
28 32 23 28 24 36 31 34 25 28 29 23 25
A researcher wants to test whether the average gas mileage of this type of car is different from 30 mpg. Compute the p-value.
Answers
Answer:
The p-value is 0.1228.
Step-by-step explanation:
Before testing the hypothesis, we need to find the sample mean and the standard deviation.
Sample of 13:
The sample mean is the sum of all values divided by 13. Using a calculator, it is: X = 28.15.
The sample standard deviation is the square root of the division of the sum of the differences squared between each value and the mean, by the number of values. Using a calculator, we get s = 4.0162.
A researcher wants to test whether the average gas mileage of this type of car is different from 30 mpg.
At the null hypothesis, we test if the average gas mileage is of 30 mpg, that is:
[tex]H_0: \mu = 30[/tex]
At the alternate hypothesis, we test if the average is different from 30, that is:
[tex]H_1: \mu \neq 30[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
30 is tested at the null hypothesis:
This means that [tex]\mu = 30[/tex]
From the sample:
[tex]X = 28.15, s = 4.0162[/tex].
Value of the test-statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{28.15 - 30}{\frac{4.0162}{\sqrt{13}}}[/tex]
[tex]t = -1.66[/tex]
P-value of the test:
The p-value of the test is the probability that the sample mean differs from 30 by at least |28.15 - 30| = 1.75, which is a two-tailed test with t = -1.66 and 13 - 1 = 12 df.
Using a t-distribution calculator, this p-value is 0.1228.
PLZZ HELP!!!
Which graph shows the solution to the system of equations 2x + y = 4 and 3x - 2y = 6?
Answers
Answer:
the last one
Step-by-step explanation:
__________________
which expression has a value equal to 28 divided by 4
Answers
Answer:
28/4
7
56/8
14/2
63/9
70/7
√49
∛343
99 is decreased to 44
Answers
Answer:
99 -? = 44.
99 -a = 44.
99 -44 -a = 44-44.
55 = a.
2 part of the question with answer choices C AND D!!!!
NEED HELP ASAP!!!!
**Will mark BRAINLIEST on both questions**
pls help!!
This is the same question I am just going to write it again.
Which graph best represents the solution to the following pair of equations?
y = 4x + 2
y = x + 5
**THESE pictures ARE ANSWER CHOICES C & D**
Answers
Answer:
Plug it into geogebra. The answer should be c.
Step-by-step explanation:
Answer:
the solution/ where they intersect is (1,6) so it is neither
Step-by-step explanation:
Find the surface area of the square pyramid. Enter your answer in the box.
A square pyramid. The side length of the base is 11 centimeters. The height of each of the 4 triangular faces is 10 centimeters.
Answers
8560.75
Answer:
apply heros formula √15.5(15.5-10)(15.5-10)(15.5-11
An article reports the following data on yield (y), mean temperature over the period between date of coming into hops and date of picking (x1), and mean percentage of sunshine during the same period (x2) for the Fuggle variety of hop:
x1: 16.7 17.4 18.4 16.8 18.9 17.1 17.3 18.2 21.3 21.2 20.7 18.5
x2: 30 42 47 47 43 41 48 44 43 50 56 60
y: 210 110 103 103 91 76 73 70 68 53 45 31
Use the following R Code to complete the regression analysis:
x1 = c(16.7, 17.4, 18.4, 16.8, 18.9, 17.1, 17.3, 18.2, 21.3, 21.2, 20 7, 18.5)
x2 = c(30, 42, 47, 47, 43, 41, 48, 44, 43, 50, 56, 60)
y = c(210, 110, 103, 103, 91, 76, 73, 70, 68, 53, 45, 31)
Required:
According to the output, what is the least squares regression equation ŷ = bo + b1x1 + b2x2:
Answers
Answer:
[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]
Step-by-step explanation:
Given
[tex]x_1: 16.7\ 17.4\ 18.4\ 16.8\ 18.9\ 17.1\ 17.3\ 18.2\ 21.3\ 21.2\ 20.7\ 18.5[/tex]
[tex]x_2: 30\ 42\ 47\ 47\ 43\ 41\ 48\ 44\ 43\ 50\ 56\ 60[/tex]
[tex]y: 210\ 110\ 103\ 103\ 91\ 76\ 73\ 70\ 68\ 53\ 45\ 31[/tex]
Required
Use R code to determine the regression equation
[tex]y = b_o + b_1x_1 + b_2x_2[/tex]
First, write the following code in a R program
[tex]x1 <- c(16.7,17.4,18.4,16.8,18.9,17.1,17.3,18.2,21.3,21.2,20.7,18.5)[/tex]
[tex]x2 <- c(30,42,47,47,43,41,48,44,43,50,56,60)[/tex]
[tex]y <- c(210,110,103,103,91,76,73,70,68,53,45,31)[/tex]
[tex]mod <- lm(y[/tex]~[tex]x1+x2)\\[/tex]
[tex]summary(mod)[/tex]
Next, run the program
See attachment for program and output
From the output, go to coefficients:
Check Estimate Std. column, you have the following:
[tex](Intercept) = 415.113[/tex]
[tex]x_1 = -6.593[/tex]
[tex]x_2 = -4.504[/tex]
[tex]y = b_o + b_1x_1 + b_2x_2[/tex] implies that:
[tex]b_o \to[/tex] Intercept
[tex]b_1 \to x_1[/tex]
[tex]b_2 \to x_2[/tex]
Hence, the least square regression equation is:
[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]
When oil is spilled in water, it creates a thin film of water approximately 1 micron thick. A barrel of oil is approximately 42 gallons of oil. If we spill a barrel of oil on the water, what is the area covered by the oil slick
Draw a sketch showing the relevant dimensions.
State your answer in square meters.
State your answer in square kilometers.
Answers
9514 1404 393
Answer:
158,987 m²0.158986 km²Step-by-step explanation:
42 gallons is about 0.158987 cubic meters. 1 micron is 1 micro-meter, or 10^-6 meters. The volume is the product of the area and thickness. For some area A, we have ...
0.158987 m³ = (10^-6 m)A
A = (10^6)(0.158987 m² = 158,987 m²
The area in square meters is 158,987.
__
A square km is (1000 m)² = 10^6 m². So, the area in square kilometers is about ...
(158,987 m²)/(10^6 m²/km²) = 0.158987 km²
The area in square km is about 0.1590.
find the area of the shaded figure
Answers
Answer:
I need degrees and numbers to figure out the answers
Identify the hypothesis of the statement.
If a and b are positive, then a−b is positive.
If a−b is positive, then a and b are positive.
a−b is positive.
a and b are positive.
If a and b are positive, then a−b is positive.
Answers
9514 1404 393
Answer:
a and b are positive.
Step-by-step explanation:
The form is ...
IF <hypothesis>, THEN <conclusion>
The hypothesis is the wording between IF and THEN. In your given statement it is ...
a and b are positive
Find the value of x. NO LINKS!!!
Answers
9514 1404 393
Answer:
z° = 44°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
44° +52° +z° +40° = 180°
z° = 44° . . . . . . . . . . . . . . . . subtract 136° from both sides
The value of z is 44.
_____
There is no "x".
Now we have to,
→ find the required value of z.
The equation is,
→ A + B + C = 180°
Let's solve for the value of z,
→ A + B + C = 180°
→ (52 + z) + 44 + 40 = 180
→ 136 + z = 180
→ z = 180 - 136
→ [ z = 44° ]
Hence, the value of z is 44°.
What expreassion is equivalent to 5(d+1)
Answers
Answer:
2(5)
Step-by-step explanation:
Answer:
I think it’s 5b+5
Step-by-step explanation:
All ways multiple the outside number with whatever is in the parentheses.
Eugene has three six‐sided dice that he rolls simultaneously. The faces of the dice
contain these letters:
Die #1: A B C D E F
Die #2: G H I J K L
Die #3: M N O P Q R
a. What is the probability that he will roll three vowels? (3 points)
b. What is the probability that he will roll the word DIP?
Answers
Answer:
a. The probability is 1 of 108 that he will roll 3 vowels
b. the probability is 1 of 216 that he will roll the word DIP.
Step-by-step explanation:
a. find the 3 chances and multiply
2/6 x 1/6 x 1/6 = 1/108
b. Find the 3 chances of each letter of DIP and multiply
1/6 x 1/6 x 1/6 = 1/216
Hope this helps! (PLS GIVE BRAINLIEST)
What is the area of the sector for the following circle? Round your answer to 4 decimal places. *
Answers
Answer:
Area = 13.0900 ft²
Step-by-step explanation:
Area of sector = θ/360 × πr²
We are assuming it's the area of the minor sector that we are asked to find.
Therefore,
θ = 360 - 300 = 60°
r = 5 ft
Plug in the values
Area of minor sector = 60/360 × π × 5²
Area = 13.0899694
Area = 13.0900 ft² (to 4 decimal places)
Step-by-step explanation:
The angle of the minor sector will be ,
> 360 - 300 = 60° .
Area of sector :-
> Area = ∅ / 360 × πr²
> A = 60/360 × 3.14 × 5ft²
> A = 13.09 ft²
Please help will mark as brainliest if correct
Answers
Answer:
B) 29.6°
Step-by-step explanation:
it's a right triangle so you can use SOA CAH TOA
in this case we would use cosine because we know the adjacent and the hypotenuse
arccosФ = 20/23 = 29.59
Can you please help me
Answers
Answer:
is there amultipe choice answer if so list them down
Step-by-step explanation:
x divided by 6 plus 11 = 14
show steps
what is x
Answers
Answer:
x=18
Step-by-step explanation:
[tex] \frac{x}{6} + 11 = 14[/tex]
[tex] \frac{x}{6} = 3[/tex]
x=6×3
x=18
plz mark as brainliest
Javier is buying oak flooring for the living room. How many square feet of flooring does he need to buy?
18 ft
9 ft
BRO
A 162 ft2
B 54 ft2
C 27 ft2
O D. 1812
PLEASE HELP ILL MARK YOU AS BRAINLESS
Answers
54 ft.
Step-by-step explanation:
add 18 on both sides which is 36. then do that with 9 9+9=18 and 18+18=36 36+18=54.
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
13 ft
14 ft
15 ft
Answers
A sandwich shop prices its party subs at $17.50 per foot, with a $23 flat fee for assembly. Write a function rule describing how the price of a party sub (p) depends on the sub's length in feet.
What is the price of a party sub that is 8 feet long?
Answers
Answer:
Step-by-step explanation:
sheesh
Answer:
f(x)=17.50p+25 The price for and 8 ft sub is $165
Step-by-step explanation