Answer:
solution,
x+85+24=180 (being sum of angle of triangle)
x+109=180
x=180-109
x=71
therefore, the third angle is 71
Answer just below :-
Step-by-step explanation:
Let the third angle be x
Then;
24°+85°+x = 180 ( sum of interior angles of a triangle is 180°)
or; 109°+x = 180°
or; x = 180°-109°
:x=71°
Therefore the measure of third angle is 71°
use synthetic division to evaluate f(x)=x^3-6x+1 for x=6. f(6)=____
Given: x=6
By substituting value of x as 6 in the given expression, we get:
[tex]f(6) = {x}^{3} - 6x + 1[/tex]
[tex]→f(6) = {6}^{3} + (6 \times 6) - 1[/tex]
[tex]→f(6) = 216 - 36 + 1[/tex]
Now, using integer sign property,
[tex]→f(6) = 216 - 35[/tex]
[tex]→f(6) = 181[/tex]
Therefore, f(6)=181
help me it would be nice if you could help me
Answer: B (x=1)
The x-axis shows all the zeros (solutions).
If you were trying to find the slope and the equation of the line, you would go y/x for the slope.
While, b is the y axis, which is 3 in this case.
And the slope is 3/1, which is rise over run (y/x)
Linear equations: y = mx+b
Quadratic equation: ax^{2}+bx+c
(Not going to go in much more depth)
The equation of this line is y = 3x + 1
What is 6x to the power of 3 multiplied by 4x to the power of 8
Answer:
24x^11
Step-by-step explanation:
4x^8*6x^3 can be rewritten as 24x^(3+8) - multiply 4 and 6
Now we just have 24x^11.
Shop A has repaired 55 cars and repairs
5 more each week. Shop B has repaired
30 cars and repairs 10 more each week.
How many weeks (w) will it be before
Shop B repairs as many cars (C)
as Shop A?
C5W + 55
C= 10W + 30
Using a system of equations, it will take 5 weeks for Shop B to repair as many cars as Shop A.
What is a system of equations?A system of equations is called simultaneous equations.
Simultaneous equations are two or more equations solved concurrently.
Shop A Shop B
The number of cars already repaired 55 30
The number of cars repaired per week 5 10
Let the number of cars repaired by Shop A in w weeks = 5w + 55
Let the number of cars repaired by Shop B in w weeks = 10w + 30
For the number of cars repaired by each shop to equate, 5w + 55 = 10w + 30
5w - 10w = 30 - 55
-5w = -25
w = 5
Thus, using simultaneous equations, we can conclude that it will take Shop B 5 weeks to repair as many cars as Shop A.
Learn more simultaneous equations at https://brainly.com/question/148035
#SPJ1
Drake bought a $110,000 life insurance policy at $12.95 for a 20 year term.
What will he pay over 20 years for the premium?
Drake will pay $28,490 over 20 years for the premium.
Data and Calculations:
Life insurance policy = $110,000
Insurance term = 20 years
Premium rate = $12.95 per $1,000
Total premium per year = $1,424.50 ($12.95 x $110,000/$1,000)
Total premium for 20 years = $28,490 ($12.95 x $110,000/$1,000 x 20)
Thus, Drake will pay a total premium of $28,490 for 20 years.
Learn more: https://brainly.com/question/3164505
find the median data 46,22,46,49,45,39,40,42,41,39,40,36
Answer:
median is 40.5
Step-by-step explanation:
22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49
half way between numbers in numerical order
lands between 40 and 41
40.5
Answer:
41
Step-by-step explanation:
1. First you have to put the numbers in order from least to greatest:
22 36 39 39 40 40 41 42 45 46 46 49
2. Then cross out each number until you find the one that in the middle
For example first you would cross out 22 then 49 then to 36 then 46 and you get the idea
Find the surface area. Please help!! I need it quick
Answer:
This is a right trapezoidal prism.
To find the total surface area,
First we have to find the area of the 2 trapezoids.
Let us find now.
[tex]Area=2*\frac{1}{2} (a+b)*h[/tex]
[tex]Area=2*\frac{1}{2} (1.4+2.3)*1.9\\[/tex]
[tex]Area=3.7*1.9[/tex]
[tex]Area = 7.03m^{2}[/tex]
Now you have to find the areas of the 3 rectrangles.
Let us find now.
(4.8 × 2.1) + ( 4.8 × 2.3)+ ( 1.9 × 4.8)
10.08 m² + 11.04 m² + 9.12 m²
= 30.24 m²
Now let us find the total surface area of this solid.
7.03 m² + 30.24 m²
= 37.27 m²
I'm really confused and need help.
Answer:
EC = 3
Step-by-step explanation:
A car salesman has 5 used cars for sale. They have a mean price of $7000. What is the total price of all 5 cars?.
Answer:
Step-by-step explanation:
5 used cars for sale. They have a mean price of $7000
. What is the total price of all 5
cars?
We are given total number of cars = 5 cars.
The mean of all of five cars = $7000.
Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.
Total price = Mean × Total number of cars.
According to problem, mean is 7000 and total number of cars is 5.
Therefore, Total price of all 5 cars = 7000 × 5 = $35000.
We are given total number of cars = 5 cars.
The mean of all of five cars = $7000.
Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.
Total price = Mean × Total number of cars.
According to problem, mean is 7000 and total number of cars is 5.
Therefore, Total price of all 5 cars = 7000 × 5 = $35000.
Select the equation that is true.
6,714 ÷ 103 = 6.714
6,714 ÷ 103 = 67.14
6,714 ÷ 103 = 671.4
6,714 ÷ 103 = 6,714
Answer:
if the three is meant to be a zero then the answer is B, 67.14
Step-by-step explanation:
Does the table below represent a direct variation? Explain how you can tell.
x y
-2 -10
-1 -8
0 -6
1 -4
How many grams are contained in 0.54 moles of calcium?
The number of grams present in 0.54 moles of calcium is; 22 g
We are given;
Number of moles; n = 0.54 moles
Now, Molar mass of calcium is;
M = 40.1 g
Formula for number of moles is;
n = m/M
Where;
n is number of moles
m is mass in grams
M is molar mass
Thus;
0.54 = m/40.1
m = 40.1 × 0.54
m = 21.654 g
Approximately m = 22 g
Read more at; https://brainly.com/question/5397233
An item costs $300 before tax, and the sales tax is $9.90 . Find the sales tax rate. Write your answer as a percentage.
Answer:
3.33%
Step-by-step explanation:
9.90/300=0.033
Which statements must be true regarding the two triangles? Check all that apply.
∠M ≅ ∠M''
△LMN ~ △L''M''N''
△LMN ≅ △L''M''N''
The coordinates of vertex L'' are (-3, 1.5).
The coordinates of vertex N'' are (3, -1.5).
The coordinates of vertex M'' are (1.5, -1.5).
Answer: 1, 2, & 5.
Step-by-step explanation:
1) ∠M ≅ ∠M''
2)△LMN ~ △L''M''N''
5)The coordinates of vertex N'' are (3, -1.5).
What is a real number.
Answer:
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
x-2y > -8
x + y >1
A. (-5,3)
B. (0,5)
C. (3,-5)
D. (4,0)
Answer:
A. (-5,3)
Honestly, that is pretty much it and uh.Yeah
A researcher wants to study the effect of weather on college students' study habits. On a sunny day, the researcher sits in the quad and records the number of minutes of study per student. Identify the crucial element missing in this design.
In this experiment design, the missing element is the control group.
In most experiments, the researcher will need to have a control group and an experimental group.
The control group is the one that is not given a treatment, for example, if you are testing an antibiotic, then the control group is the individuals that do not receive the medicine.
This group is important because it acts as a reference to measure the real effect in the experimental group or those receiving the treatment.
The control group is missing in this experiment because the research will need to measure the hours students spend studying on a regular cloudy day, in this way, he can later determine if there is a real difference between the number of hours on a sunny day vs the number of hours on a day that is not sunny.
Learn more in: https://brainly.com/question/17475243
heres the table and graph
Answer: distance 1min = 10in
In 1 minute the snail travels 10 inches
In 2 minute the snail travels 20 inches
In 3 minute the snail travels 30 inches
In 4 minute the snail travels 40 inches
In 5 minute the snail travels 50 inches
y=10x
Classify the following polynomial by degree and the number of terms.
3x² - 7
Answer:
A.) Quadratic binomial
Step-by-step explanation:
The degree of 2 (x²) makes the polynomial quadratic. It is binomial because it contains 2 terms.
The polynomial is:
↬ quadratic binomialSolution:
We classify polynomials based on the number of terms and the degree,
No. of Termsmonomial - 1 term
binomial - 2 terms
trinomial - 3 terms
polynomial - 4 terms or more
Degree (highest exponent)first
second (quadratic)
third (cubic)
fourth (quartic)
and so on.
[tex]\pmb{3x^2-7}[/tex] has 2 terms. Its highest exponent is 2, so clearly, we have a quadratic binomial.
Hence, 3x² - 7 is a quadratic binomial.
Help me out I need it be great
Answer:
A.
How many tiles will you put in each row? 9
How many rows will you make? 3
B.
9x3=27
C.
9 models the amount of tiles in each row
3 models the amount of rows
27 models the total number of chairs/tiles
Step-by-step explanation:
16+4(q+11)+10q simplify
Answer:
Dogodgo
Step-by-step explanation:
(A) Find the dimensions of the rectangle with area 324 square inches that has minimum perimeter, and then find the minimum perimeter.
A = L*w
324 = L*w
324/w = L
P = 2*( L + w)
= 2 * ( 324/w + w)
= 648/w + 2w
= (648 + 2w^2)/w
What is the slope of the line that passes through the points (-9, 2) and
(1, 27)? Write your answer in simplest form.
Answer:
5/2
Step-by-step explanation:
Y(2)-Y(1)/ X(2)-X(1)
(27-2)/(1-(-9)
25/10
simplified=5/2
Can someone plz help me with this. 100 points and brainliest to the correct answer.
I will be so gratefulll!!
Answer: 11.46
Step-by-step explanation:
look at the screenshots please and thank you I really don't understand it please I need help with this
Answer:
1. 2/9
2. 3/7
3. 1/5
Step-by-step explanation:
For each graph look at where the line comes to a point and look at first the y coordinate, then the x coordinate, the answer should be y / x for that graph. My class was recently going over this so I know this for sure.
Tell me if I'm wrong :)
BOWLING A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2.5x+3
represents the cost y of bowling x games. Interpret the parameters of the function.
A particular variety of bamboo grows for
4
months out of the year at a rate of
3
inches per day. The rest of the year, the bamboo is dormant and does not grow.
A graph of the growth for a
12
-month period is shown.
What is the domain of the function that models this phenomenon?
Using function concepts, it is found that the domain of the function that model this phenomenon is [0, 12].
The domain of a function is the set that contains all possible input values.
In this problem, the function is the height of the bamboo according to the month of the year, hence, the input is the month of the year, which has values between 0 and 12, and thus, the domain of the function that model this phenomenon is [0, 12].
A similar problem is given at https://brainly.com/question/10891721
How do you evaluate (x+3)2 ?
Step-by-step explanation:
[tex]x = 1[/tex]
[tex] [/tex]
HOPE It Helps it;D
Answer:
2 • (x + 3)
Step-by-step explanation:
pa help po
13.) given that " G " varies directly as " h " and g=64 when h=8 find the variation constant
can you plss answer no.# 13-15
wc in advance po
take note
nonsense answer= report
good answers will get brainlist and I'll follow you and I'll rate you
It would take 12 men 18 days to complete the job.
1) g ∝ h
g = kh; where k is the constant of variation.
g = 64, h = 8, hence:
64 = 8k
k = 8
g = 8h
2) j ∝ 1/h
j = k/h; where k is the constant of variation.
j = 190, h = 7, hence:
190 = k/7
k = 1330
j = 1330/h
When h = 70:
j = 1330/70
j = 19
3) y represent number of men and x represent the days
y ∝ 1/x
y = k/x
9 = k/24
k = 216
y = 216/x
For 18 days:
y = 216/18 = 12 men
Hence it would take 12 men 18 days to complete the job.
Find out more at: https://brainly.com/question/21126582
How do you factor an expression to the 4 exponent.
Answer:
We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).
Answer: How do you factor variables with exponents? To do this, take the greatest common factor of the numbers and the smallest exponent of each variable. 2. Divide the original expression by the greatest common factor. To do this, divide the coefficients, and subtract the exponents of the variables.
Explanation: Expressions with fractional or negative exponents can be factored by pulling out a GCF. Look for the variable or exponent that is common to each term of the expression and pull out that variable or exponent raised to the lowest power. These expressions follow the same factoring rules as those with integer exponents.
