Answer:
31x² - 2
Step-by-step explanation:
5(2x²-1)+3(7x²+1) = 5*2x² - 5*1 + 3*7x² + 3 = 10x² - 5 + 21x² + 3 = 31x² - 2
help plzz ... Trigonometry
Answer:
XYZ = 21.8
Step-by-step explanation:
the missing angle is XYZ
cos XYZ = [tex]\frac{adjacent}{hypotenus}[/tex] tan XYZ = [tex]\frac{6}{15}[/tex] tan XYz = 0.4using a calculator:
tan^(-1)(0.4)= 21.8so XYZ = 21.8
The mapping diagram shows a function S(x).
Which mapping diagram shows the inverse of S(x)?
Explanation:
Notice how the input 5 leads to the output 3 when we look at the S(x) function. The inverse will undo this. So that must mean the answer is choice A where we have the input 3 lead to the output 5. In short, the inputs and outputs swap places. This means the domain and ranges swap.
) 30 marbles are to be divided into three bags so that the second bag has three times as many marbles as the first bag and the third bag has twice as many as the first bag. If x is the number of marbles in the first bag, find the number of marbles in each bag.
Answer:
The number of marbles in the first bag= 5
The number of marbles in the second bag = 15
The number of marbles in the third bag = 10
Step-by-step explanation:
Given that
Total number of marbles= 30
Lets take, the number of marbles in the first bag= x
The number of marbles in the second bag = 3 x
The number of marbles in the third bag = 2 x
Therefore
The total number of marbles = x + 2 x + 3 x = 6 x
6 x = 30
[tex]x=\dfrac{30}{5}[/tex]
x= 6 marbles
We can say that
The number of marbles in the first bag= 5
The number of marbles in the second bag = 15
The number of marbles in the third bag = 10
A lead ball weighs 326 grams. Find the radius of the ball to the nearest tenth of a centimeter. the lead=11.35g/cm³
Answer:
3.14
Step-by-step explanation:
Carrie can inspect a case of watches in 5 hours.James can inspect the same case of watches in 3 hours.After working alone for 1 hour,Carrie stops for lunch.After taking a 40 minute lunch break,Carrie and James work together to inspect the remaining watches.How long do Carrie and James work together to complete the job?
Will mark brainlist if it correct and well explained
Answer:
It takes Carrie and James an hour and a half to finish the job.
Step-by-step explanation:
assuming they have to inspect ONE case of watches.
Carrie can inspect 1/5 case in one hour.
James can inspect 1/3 case in one hour.
Carrie worked alone for 1 hour, so she finished 1/5 of a case.
She leaves 4/5 case to finish.
She had lunch.
After that, Carrie and James worked together for x hours to finish the job.
When they work together, the finish 1/5+1/3 = 8/15 case per hour.
So time to finisher the remaining case
Time = 4/5 / (8/15)
= 4/5 * 15/8
= 3/2 hours
= an hour and a half.
Simplify. Rewrite the expression in the form 4^n. 4^11/4^-8
Answer:
S6tep-by-step explanation:
4^(11+8) = 4^19 is the solution
I have a lot of questions like this, and I know the formula but I still get it wrong!
Answer: 4
Step-by-step explanation: use pick’s theorem to solve.
I+B/2-1.
We can substitute the variables with our information from the graph:
0+10/2-1=5-1=4 that’s the answe
Hope this helps
A solid square pyramid has a mass of 750 g. It is made of a material with a
density of 8.05 g/cm'. Given that the height of the pyramid is 13.5 cm, find the
length of its square base.
Answer:
4.55cmStep-by-step explanation:
The unit of a volume: [tex]cm^3[/tex]
The unit of a density: [tex]\dfrac{g}{cm^3}[/tex]
The density is [tex]\dfrac{mass}{volume}[/tex]
Substitute:
[tex]\dfrac{8.05g}{cm^3}=\dfrac{750g}{V}[/tex]
cross multiply
[tex]8.05gV=750gcm^3[/tex]
divide both sides by 8.05g
[tex]V\approx93.17cm^3[/tex]
The formula of a volume of a square pyramid:
[tex]V=\dfrac{1}{3}a^2H[/tex]
a - length of square base
H - height of a pyramid
We have:
[tex]V=93.17cm^3;\ H=13.5cm[/tex]
Substitute:
[tex]93.17=\dfrac{1}{3}a^2(13.5)[/tex]
multiply both sides by 3
[tex]279.51=13.5H[/tex]
[tex]297.51=13.5a^2[/tex]
divide both sides by 13.5
[tex]a^2\approx20.7\to a=\sqrt{20.7}\approx4.55(cm)[/tex]
Answer:
Step-by-step explanation:
volume of pyramid=1/3×base area×height
let the length of base=x
base area=x²
volume V=1/3×x²×13.5=4.5 x²
mass=volume×density
750=4.5 x²×8.05=36.225 x²
x²=750/36.225
x=√(750/36.225)≈4.55 cm
Angle 6 and 7, are complementary angles?
Answer:
Hey there!
Angle 6 and angle 7 are actually supplementary angles, which are angles that add to 180 degrees.
Complementary angles are angles that add to 90 degrees.
Hope this helps :)
Answer:
∠6 & ∠7 are not complementary angles
Step-by-step explanation:
∠6 & ∠7 are supplementary angles on a line
After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y). A student determined y to be –2. Evaluate the student's answer. A. The student is correct. B. The student incorrectly calculated the scale factor to be –2. C. The student incorrectly divided by the scale factor instead of multiplying by it. D. The student incorrectly added the scale factor instead of multiplying by it.
Answer:
B. The student incorrectly calculated the scale factor to be –2
Step-by-step explanation:
Given that :
After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y).
The student determined y to be -2
If a figure dilated with a center of (0, 0) and scale factor k, then
(x , y) → (kx , ky)
(4, -6) → (12, y)
[tex]k = \dfrac{x'}{x}[/tex]
[tex]k = \dfrac{12}{4}[/tex]
k = 3
Thus; the scale factor is 3
Now; the y-coordinate can now be calculated as;
ky = (3 × -6)
ky = -18
Therefore; the value of y = -18 and the student incorrectly calculated the scale factor to be -2.
Grace, Chelsea, and Roan are simplifying the same polynomial expression. Which
student's work is correct and why?
Grace
Chelsea
3(2 - x) - 2(6x - 8)
= 6 - 3x – 12x + 16
3(2 - x) – 2(6x – 8)
= 6 - 3x – 12x - 16
Roan
3(2 - x) - 2(6x - 8)
= 6 - 3x + 12x - 16
= -3x - 12x + 16 + 6
= -3x – 12x – 16 + 6
= -3x + 12x – 16 + 6
= -15x + 22
= -15x – 10
= 9x - 10
Answer:
Hey there!
3(2 - x) - 2(6x - 8)
6-3x-12x+16
6-15x+16
-15x+22
Hope this helps :)
Answer:
Grace is correct. The other two made mistakes while distributing the negative sign. Chelsea failed to distribute the negative sign to the second term of the second expression. Roan failed to distribute the negative sign to both terms of the second expression.
Find the value of x that makes ABCD a parallelogram.
Answer:
x = 10
Step-by-step explanation:
A parallelogram's angles should all add up to 360 degrees. 130+130 is equal to 260 degrees. 360-260 is equal to 100. Because we need to find the individual angles of Angle A and Angle C, we will divide 100 by two. That leaves us with 50 degrees for Angle A and Angle C EACH. We know Angle C is equal to 5x. So, we would divide 50 by 5, which leaves us with 10 degrees. Therefore, x = 10.
WILL GIVE THE BRAINLIEST! Which of the following inequalities can be represented by the graph?
=========================================
Explanation:
The boundary line is y = 2x-2. This line goes through (0,-2) and (2,2). Use the slope formula to find the slope to be m = 2, and use the y intercept b = -2 to help form the equation.
Since the boundary line is solid, we will have "or equal to" as part of the inequality sign. This indicates points on the boundary are part of the solution set. Furthermore, we will have a greater than sign because the shaded region is above the boundary. Therefore, we change the equal sign to a "greater than or equal to" sign, going from y = 2x-2 to [tex]y \ge 2x-2[/tex]
If we simply did [tex]y > 2x-2[/tex] without the "or equal to" portion, then the boundary line would be dotted or dashed to tell the reader "points on the boundary are not part of the solution set".
Two boxes have the same volume. One box has a base that is 5cm by 5cm. The other box has a base that is 10cm by 10 cm. How many times as tall is the box with the smaller base?
Answer:
x=4
Step-by-step explanation:
5^2X=10^2X
25X=10X
2X=100/25
The Box with a smaller base has a height that is 4 times taller than the Box having a larger base.
What is the volume of a cuboid?We know the volume of a cuboid is the product of its length, breadth, and height or v = l×b×h.
Given, we have two boxes let us denote them by B₁ and B₂ and their respective heights are h₁ and h₂.
To obtain how many times one box is relative to the other we have to equate their respective volumes.
Given, one box has a base that is 10cm by 10 cm and another box has a base that is 5cm by 5cm.
∴ 5×5×h₁ = 10×10×h₂.
25h₁ = 100h₂.
h₁ = 4h₂.
So, h₁ is 4 times taller than h₂.
learn more about cuboid here :
https://brainly.com/question/19754639
#SPJ2
There are six equilateral triangles in regular____.
Answer:
There are six equilateral triangles in regular hexagons
Answer:
There are 6 equilateral triangles in a regular hexagon.
Step-by-step explanation:
A regular hexagon has 6 congruent sides and can be divided into 6 congruent equilateral triangles.
There are 6 equilateral triangles in a regular hexagon.
Simplify (x+3)(x-1) - x(x+2)
Answer:
-3
Step-by-step explanation:
(x+3)(x-1) - x(x+2)
Foil the first term
First x^2
outer -x
inner 3x
last -3
Add them together
x^2 -x+3x-3 = x^2 +2x-3
x^2 +2x-3 - x(x+2)
Distribute the second term
x^2 +2x-3 -x^2 -2x
Combine like terms
-3
Answer:
[tex]\boxed{-3}[/tex]
Step-by-step explanation:
Hey there!
Well to simplify,
(x+3)(x-1) - x(x+2)
we need to do
(x+3)(x-1) first,
(x+3)(x-1)
x*x = x^2
-x + 3x = 2x
-1 * 3 = -3
[tex]\boxed{x^2 + 2x - 3}[/tex]
Now we can do,
x(x+2)
x*x = x^2
x*2 = 2x
[tex]\boxed{x^2 + 2x}[/tex]
So now we need to subtract the 2 products,
x^2 - x^2 = 0
2x - 2x = 0
The answer is,
[tex]\boxed{-3}[/tex]
Hope this helps :)
A group of hikers finished hiking at an elevation of -5 the group started hiking at an elevation of 8 What was the change in feet of the groups elevation
Answer:
13 feetStep-by-step explanation:
If a group of hikers finished hiking at an elevation of -5 the group started hiking at an elevation of 8, their initial feet will be -5 and their final feet will be 8.
Change in feet of the groups elevation = final feel - initial feet
Given initial feet = -5 feetFinal feet = 8 feet
Change in feet of the groups elevation = 8 -(-5)
Change in feet of the groups elevation = 8+5
Change in feet of the groups elevation = 13
Se tiene una pirámide regular cuadrangular cuyas caras laterales forman con la base un angulo que mide 53º y el area de la superficie lateral es 60 ¿cuanto mide la altura?
Answer:
La altura de la pirámide es de 8.14 unidades.
Step-by-step explanation:
Hay una pirámide cuadrangular regular cuyas caras laterales forman un ángulo que mide 53º con la base y el área de la superficie lateral es 60. ¿Qué altura tiene?
Dado que el área de superficie lateral = 60
Tenemos
Área del triángulo equilátero = (√3 / 4) × a²
(√3 / 4) × a² = 60
a² = 60 / (√3 / 4) = 80 · √3
a = √ (80 · √3) = 11.77 unidades
La altura inclinada = Altura de la superficie inclinada = a × sin (60) = 11.77 × sin (60)
La altura inclinada = 11.77 × sin (60) = 10.194 unidades
La altura de la pirámide = Altura inclinada × sin (ángulo de caras laterales con la base)
La altura de la pirámide = 10.194 × sin (53) = 8.14 unidades.
La altura de la pirámide = 8.14 unidades.
In the case of Confidence Intervals and Two-Tailed Hypothesis Tests, the decision rule states that: Reject H0 if the confidence interval ______ contain the value of the hypothesized mean mu0.
Answer: Reject [tex]H_0[/tex] if the confidence interval does not contain the value of the hypothesized mean [tex]\mu_0[/tex].
Step-by-step explanation:
In the case of Confidence Intervals and Two-Tailed Hypothesis Tests,
Null hypothesis : [tex]H_0:\mu=\mu_0[/tex] [There is no change in mean.]
Alternative hypothesis: [tex]H_a:\mu\neq\mu_0[/tex] [There is some difference.]
Since confidence intervals contain the true population parameter ( mean).
So, Decision rule states that
Reject [tex]H_0[/tex] if the confidence interval does not contain the value of the hypothesized mean [tex]\mu_0[/tex].We do not reject [tex]H_0[/tex] if the confidence interval contains the value of the hypothesized mean [tex]\mu_0[/tex].True or False? All equiangular triangles are similar.
Answer:
True
Step-by-step explanation:
All equiangular triangles are similar.
What part of an hour passes between 3:16 P.M. and 3:34 P.M.?
Answer:
18 minutes
Step-by-step explanation:
1: Calculate how many minutes are in an hour
2: Take 3:16 and add until 3:34
The part of an hour 3/10
What is time elapsed?Elapsed time is the time taken by an event to occur between the start of the time and the end of the time. In simple words, we can say that the amount of time that has passed between the beginning and the end of an event is called the elapsed time. We can determine this time by subtracting the end time and the start time. The formula to calculate the elapsed time is simply to subtract the hours and minutes separately. It gives the duration of an event.
Elapsed time means the time that has elapsed between the start of the time and the end of the time.
For example, if a man starts traveling at 10:30 AM and ends the journey at 12:15 PM, the time elapsed is the duration of his journey, that is, the time between 12:15 PM and 10:30 AM. Elapsed time is an important concept as it helps us to learn to read the time on a clock and measure the time taken for an event to occur.
Formula:
Elapsed Time = End Time - Start Time
As, 3:16 p.m. shows 44 minutes before 4:00 p.m.
and, 3:34 p.m. shows 26 minutes before 3: 34 p.m.
As, there is difference of
=44-26
=18 minutes
Hence, the part of an hour = 18/60= 3/10
Learn more about this concept here:
https://brainly.com/question/11921928
#SPJ2
A certain animated movie earned $1.1⋅109\$1.1 \cdot 10^9 $1.1⋅10 9 dollar sign, 1, point, 1, dot, 10, start superscript, 9, end superscript in revenues at the box office. The movie lasts 9.1⋅1019.1\cdot10^1 9.1⋅10 1 9, point, 1, dot, 10, start superscript, 1, end superscript minutes. How much revenue was earned per minute of the movie? Write your final answer in scientific notation, and round to two decimal places.
$ 1.21 * 10⁷ per minute
Step-by-step explanation:Movie Earning = $ 1.1 * 10⁹
Movie lasted for = 9.1 * 10¹ minutes
Money earned in 9.1 * 10¹ minutes = $ 1.1 * 10⁹
Money earned in 1 minutes = $ 1.1 * 10⁹ / (9.1 * 10¹)
= $ 110 * 10⁷ / (9.1 * 10¹)
= $ 12.09 * 10⁶
= $ 1.209 * 10⁷
= $ 1.21 * 10⁷
Movie earning = $ 1.21 * 10⁷ per minute
Answer:
$ 1.21 * 10⁷ per minute
Step-by-step explanation:
Which equation models this situation?
The sum of 24 and a number is 40.
2 of 12 QUESTIONS
24- x = 40
24+ 40 = x
40 + x = 24
24+ x = 40
SUBMIT
Add
Answer:
24+x=40
Hope this helped
Answer:
hes right look up there
Step-by-step explanation:
hes right :) only for a p e x
Nathan runs around the inside lane of a circular track that has a radius of 29 m.
Rachel runs in the outer lane, which is 2.5 m further from the centre of the track.
How much longer is the distance Rachel runs each lap? Give your answer to 2
decimal places.
Hey there! I'm happy to help!
The distance around a circle is the circumference. To find it, you multiply the diameter of the circle by pi (we will use 3.14).
First, let's find the circumference of Nathan's circle. We see that the radius is 29. The diameter is twice the radius, so the diameter is 56. We multiply this by 3.14, giving us 175.84 m.
We see that Rachel is 2.5 m further from the center than Nathan's, so her radius is 31.5 m. We multiply by two to give us the diameter, giving us 63. We multiply this by 3.14, giving us 197.82.
Now, we subtract Nathan's lap distance from Rachel's to see how much longer her's is.
197.82-175.84=21.98
Therefore, the distance Rachel runs is 21.98 meters longer than the distance Nathan runs.
Have a wonderful day! :D
the polynomial p(x)=x^3-7x-6 has a known factor of (x+1). rewrite p(x) as a product of linear factors
Answer:
p(x) = (x + 1) (x - 3) (x + 2)
Step-by-step explanation:
x³ - 7x - 6
(x+1) (x² - x - 6) found by doing long division
(x+1) ( x - 3) (x + 2) are the factors
The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)
What is a polynomial?They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.
We are given the polynomial as;
x³ - 7x - 6
Then we found by doing long division;
(x+1) (x² - x - 6)
(x+1) ( x - 3) (x + 2)
These are the factors.
Hence, The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)
Learn more about polynomials here:
https://brainly.com/question/27343162
#SPJ2
Which statement is true about the function f(x) = StartRoot negative x EndRoot? It has the same domain as the function f(x) = Negative StartRoot negative x EndRoot. It has the same range as the function f(x) = Negative StartRoot negative x EndRoot. It has the same domain as the function f(x) = Negative StartRoot x EndRoot. It has the same range as the function f(x) = .
Answer:
It has the same domain as the function [tex]f(x)=-\sqrt{-x}[/tex].
Step-by-step explanation:
The function ...
[tex]f(x)=\sqrt{-x}[/tex]
has a domain of all non-positive numbers and a range of all non-negative numbers. Anything with a -x under the radical will have the same domain. Any positive root will have the same range.
__
So, we can say it has the same domain as ...
[tex]f(x)=-\sqrt{-x}[/tex]
Answer:
A on edge
Step-by-step explanation:
hehe
√ (952.695) + √0.00195 – 5.382 please help Thank you to whoever helps
Answer:
25.52791653032955454422437424679625318128649677442393276098...
Step-by-step explanation:
You can just paste this into wolframalpha.
Answer: 970.72312
Step-by-step explanation:
Straightforward operation.
A personnel manager is concerned about absenteeism. she decides to sample employee records to determine if absenteeism is distributed evenly throughout the six-day workweek. the null hypothesis is: absenteeism is distributed evenly throughout the week. the 0.01 level is to be used. the sample results are: day of the week number of employees absent monday 12 tuesday 9 wednesday 11 thursday 10 friday 9 saturday 9 what is the calculated value of chi-square?
Answer:
Hello your question lacks the required options
A.)11.070 B.)2.592
C.)13.388 D.)15.033
answer : 15.033 (D)
Step-by-step explanation:
The given Data
Day of The Week number of Absentees
Monday 12
Tuesday 9
Wednesday 11
Thursday 10
Friday 9
Saturday 9
The critical value of chi-square = 15.09 and this obtained by entering the degrees of freedom and level of significance into minitab. attached below is the plot
hence for the given options the critical value of chi-square is ≈ 15.03
A restaurant serves only tacos and enchiladas. If 60% of everyone who ate at the restaurant on a certain day ordered tacos, what percentage of those who ate at the restaurant ordered enchiladas that day
Answer:
i. 70%
ii. 70%
Step-by-step explanation:
Since in the question, it is given that 60% of everyone is ordered tacos so 40% of everyone is ordered enchiladas
i. Now if half ordered tacos that means out of these 30 orders enchiladas.
since 30 ordered tacos that means 70% ordered enchiladas
ii. Now for 3 by 4 we have to assume the number of people who ordered only enchiladas be x
So,
For both, it would be 0.75 x
And, the number of people who did not order is 40 as 60 tacos are ordered by people
So, the percentage is
= 40 × 0.75 + 40
= 30 + 40
= 70%
Please answer please this in two minutes
Answer:
s= 14
Step-by-step explanation:
The missing side is s
sin 30° = 7/s switch s and sin 30°
s = 7/sin 30°
sin 30° is 0.5
so :
s = 7/0.5s= 14