Answer:
[tex]84^{\circ}[/tex]
Step-by-step explanation:
The measure of an inscribed angle is exactly half the measure of the arc it forms. Thus, we have the following equation:
[tex]2(7x-7)=9x+21[/tex]
Solving, we get:
[tex]2(7x-7)=9x+21,\\14x-14=9x+21,\\5x=35,\\x=7[/tex]
Plugging in [tex]x=7[/tex] into [tex]9x+21[/tex]:
[tex]\widehat{DG}=9(7)+21,\\\widehat{DG}=63+21,\\\widehat{DG}=\boxed{84^{\circ}}[/tex]
Answer:
-31
Step-by-step explanation:
Find the formula for the following sequence
Geometric : a7=9 and a12=2187
Step-by-step explanation:
a geometric sequence is s sequence, where every new element is generated by multiplying the previous element by the same number.
a n = a1 × number^(n-1)
so, a12/a7 = number^5
=> 2187/9 = 243 = number^5
=>
[tex]number = \sqrt[5]{243} [/tex]
=> number = 3
so, what is a1 ?
it has to satisfy e.g. a7.
9 = a1 × 3^6
9 = 3^2
=> 3^2 = a1 × 3^6
=> 1 = a1 × 3^4
=> a1 = 1/(3^4) = 1/81
therefore, the whole formula is
a n = 1/81 × 3^(n-1 )
If d=the number of dogs, which variable expression represents the phrase below?
The sum of the number of the dogs and 6 cats
Answer:
6 + d =
Step-by-step explanation:
Sum means the expression is using addition
Sum of dogs and 6 cats = 6 + d
what percent does housing take up in this family budget of four
a.50%
b.18%
c.31%
d.45%
will give brainliest mark plz helpp urgenttt easyy
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
- 4x + 3y = 12 ( add 4x to both sides )
3y = 4x + 12 ( divide the terms by 3 )
y = [tex]\frac{4}{3}[/tex] x + 4 ← in slope- intercept form
with slope m = [tex]\frac{4}{3}[/tex] and y- intercept c = 4
---------------------------------------------------
Given
- 5x + 3y = - 9 ( add 5x to both sides )
3y = 5x - 9 ( divide the terms by 3 )
y = [tex]\frac{5}{3}[/tex] x - 3 ← in slope- intercept form
with slope m = [tex]\frac{5}{3}[/tex] and y- intercept c = - 3
Please take your time but I really need anyone's help!!!!
Answer:
C) 5 3√2
Step-by-step explanation:
Answer:
I think a
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIESTTTT
Answer:
470 [tex]cm^{3}[/tex]
Step-by-step explanation:
8x9x10 = 720
5x5x10 = 250
720-420 = 470
Guided Practice
THE ANSWER IS NOT LETTER A
Write the equation in standard form using integers.
y = 4x – 7
A.
4x – y = –7
B.
4x + y = 7
C.
4x – y = 7
Answer:
C.
4x – y = 7
Step-by-step explanation:
Write in standard form.
4
x
−
y
=
7
y
=
4
x
−
7
The standard form of a linear equation is
A
x
+
B
y
=
C
.
Rewrite the equation with the sides flipped.
4
x
−
7
=
y
Move all terms containing variables to the left side of the equation.
Tap for more steps...
4
x
−
y
−
7
=
0
Add
7
to both sides of the equation.
4
x
−
y
=
7
variable
A letter used to represent a number value in an expression or an equation.
equation
A mathematical statement that says two expressions have the same value; any number sentence with an
=
.
find the length of side a
Answer:
A
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Would someone please help me? Ravi decides to eliminate just 100 calories per day from his diet. He knows that each pound of body fat equals 3500 calories. How long will it take for Ravi to lose 10 pounds?
Answer:
350 days
Step-by-step explanation:
If Ravi is eliminating 100 calories per day, and one pound of body fat is 3500 calories, then it will take him 35 days to lose one pound of body fat.
Multiply 35 by 10 to find how long it will take for him to lose 10 pounds:
35(10)
= 350
So, it will take him 350 days to lose 10 pounds.
Answer:
350
Step-by-step explanation:
Sabrina babysits for young kids in her neighborhood. Last Friday night, she babysat one child for 2 hours and made $16. Tonight, she babysat one child for 6.5 hours and made $34. Determine and interpret the rate of change and initial value.
A school's fall fundraiser raised money for new laptops and tablets for the school. The totals for the 7th-grade homerooms are shown in the table below. The mean of the data is $685.42 and the median is $635.00. Which measure, the mean or the median, is a better measure of the central tendency of the data, and why?
Answer:
It is The median, because there is an outlier that is significantly higher than the rest of the data, and it raises the mean above the center of the data, making the mean a poor choice, and the median a better choice
Step-by-step explanation:
1575 is the outlier causing the median to be the best
How many gallons of paint is needed for a 8x9 bedroom with 8 foot ceilings?
Answer:
Wish i could help i need the answer as well
Step-by-step explanation:
Which expression is equivalent to 2-2 x 22?
Answer:
-42
Step-by-step explanation:
Following Order of Operations, we have to multiply before subtracting, so
[tex]2-2*22[/tex]
[tex]=2-44[/tex]
[tex]=-42[/tex]
Using order of operations, we get -42.
In a group of 200 students, 75 are taking Geometry, 135 are taking IPC and 35 are taking both Geometry and IPC. If a student, chosen at random, is taking Geometry, what is the probability that he or she is taking IPC?
a) 0.175
b) 0.167
c) 0.259
d) 0.467
Ben needs to read 450 pages of his book for school. If he has five days to finish, how many pages should he read each day?
Answer: 90
Step-by-step explanation:
450/5 or 450 divided by 5
you can work this out by figuring out 45/5 which is 9
so 450/5 equals 90
he should read 90 pages per day
Answer:
90
Step-by-step explanation:
Because if you divide the pages into the 5 day it would be 90
450 divide by 5 = 90
The box plot below represents some data set. What percentage of the data values are between 20 and 55?
Step-by-step explanation:
the solution is self explanatory
Write the equation in standard form for the circle with radius 4 centered at the origin
Answer:
common form to write the equation of a circle in is the center-radius form. The center-radius form is: (x−h)2+(y−k)2=r2 Here, the center point is denoted by (h,k) and r is the radius of the circle. The first example he does is: Find the center and radius of the circle given by the equation (x−2)2+(y+4)2=25.
Answer:
x² + y² = 16
Step-by-step explanation:
We need to write the standard equation of circle with , centre (0,0) and radius 4 unit . The Standard equation of the circle ⭕ is ,
=> ( x - h)² + (y -k)² = r²
=> ( x -0)² + (y-0)² = 4²
=> x² + y² = 16 .
• Hence the equation of the circle is x² + y² = 16.
According to the line plot, what is the total amount of time spent studying by the students who studied for an hour each?
Answer:
2.5 hours
Step-by-step explanation:
The total amount of time studying by students who spent 1/2 an hour studying is the product of the number of students who spent 1/2 an hour studying by 1/2 an hour.
Hence, counting the number of dots on the point marked 1/2 gives the count of students who spent 1/2 an hour studying and multiply this number by 1/2.
Total amount of hours spent = 1/2 * 5 = 2.5 hours
13. Randomly selected nonfatal occupational injuries and illnesses are categorized according to the day of week that they first occurred, and the results are listed below. Use a .05 significance level and that such injuries and illnesses occur with equal frequency on the weekend. State the null and alternative hypotheses, the pvalue, and conclusion. Day Fri Sat Sun Number 21 19 10
Answer:
Part A
The null hypothesis H₀; The injuries and illnesses have no relationship in the weekend
The alternative hypothesis Hₐ; The injuries and illnesses occur with equal frequency on the weekend
Part B
P-value from;
Tables, 0.1 < P([tex]\chi^2[/tex] < 4.12) < 0.9
Chi-square calculator, P([tex]\chi^2[/tex] < 4.12) = 0.87
Step-by-step explanation:
The given data is presented as follows;
[tex]\begin{array}{ccc}Day&&Number\\Fri&&21\\Sat&&19\\Sun&&10\end{array}[/tex]
The significance level, α = 0.05
Part A
The hypothesis is to test that the given injuries and illnesses occur with equal frequency of the weekend
The null hypothesis H₀; The injuries and illnesses have no relationship in the weekend
The alternative hypothesis Hₐ; The injuries and illnesses occur with equal frequency on the weekend
Let the expected frequency, each day of the weekend = (21 + 19 + 10)/3 = 50/3 = 16.[tex]\overline 6[/tex]
We get;
[tex]\begin{array}{ccc}Day & Observed \ Number& Expected \ Number \\Fri&21& 16.\overline 6\\Sat&19&16.\overline 6\\Sun&10&16.\overline 6\end{array}[/tex]
The chi-square test statistics
[tex]\chi^2[/tex] = (21 - 50/3)²/(50/3) + (19 - 50/3)²/(50/3) + (10 - 50/3)²/(50/3) = 4.12
The [tex]\chi^2_u[/tex] with (3 - 1) = 2 degrees of freedom = 5.991
The decision rule, [tex]\chi^2[/tex] > 5.991, we reject the null hypothesis
Given that we have [tex]\chi^2[/tex] = 4.12 < 5.991, we fail to reject H₀, therefore, there is not enough statistical evidence to suggest that the meal plan are related at α = 0.05
Part B
From the chi-square table, we have the p-value at 2 degrees of freedom for the test statistic of 4.12 is between 0.9 and 0.1
Using the chi-square calculator, we have;
P([tex]\chi^2[/tex] < 4.12) = 0.87.
yo i need help please ( if u can’t see the problem zoom in btw ) but fr i need to pass plz help
Answer:
Given no. of persons owned laptop = 76
Total of no. of students owned + Total of no. of students dont have owned laptop given = 155
No. of students dont have laptops = 155 - 76 = 79
So then the total no. of no laptops = 79 + 17 = 96(ans)
Suppose Nicole ran 12 miles in four days. If she ran the same distance d each
day, how many miles did she run in one day?
Answer:
3 miles
Step-by-step explanation:
Since she ran 12 miles in 4 days, and all of them were equal, divide 12 by 4. Answer is 3 ^^
The formula s = StartRoot StartFraction S A Over 6 EndFraction EndRoot gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches? StartRoot 2 EndRoot in. 2 StartRoot 2 EndRoot in. 4 StartRoot 2 EndRoot in. 36 StartRoot 2 EndRoot in.
Answer:
2.83 inches
Step-by-step explanation:
The formula for surface area of cube = 6s²
Where
s = side length of cube
S.A = 6s²
s² = S.A/6
s = √S.A /6
For cube a
Surface area = 1200 in²
Hence,
side length = √1200/6
Side length = √200
= 14.14 inches
For cube b
Surface area = 768 in²
Hence,
side length = √768/6
Side length = √128
= 11.13 inches
How much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches?
Therefore,
14.14 inches - 11.13 inches
= 2.83 inches
Answer:
It’s B
Step-by-step explanation:
:)
Round your answer to the nearest hundredth
Answer:
2.30
Step-by-step explanation:
sin=opposite/hypotenuse
sin50=BC/3
BC=3sin50
BC=2.298≈2.30
My teacher made up the name big kahuna to make it easier to mesmerize the name but I’m not sure what the identity of this Pythagorean is. It relates to trig proofs.
Answer:
The Pythagorean Theorem leads to a simple proof of the Pythagorean Identity using only the basic definitions of trig functions. The Pythagorean Theorem on a right triangle with legs a,b and hypotenuse c gives us: a2+b2=c2. Dividing through by c2 gives: (ac)2+(bc)2=1.
Answer:
Pretty sure your teacher means sin²x+cos²x=1
Step-by-step explanation:
There's the Pythagorean identity sin²x+cos²x=1 if that's what you mean
i need help with this please
Answer:
650 cm²
Step-by-step explanation:
Use the formula 2(lw+wh+lh)
Plug in the stuff: 2(5*9+9*20+5*20)=2(45+180+100)=2(325)=650 cm²
And there you go!
Please mark brainliest!
Express this number in scientific notation. 53.010.000
Answer:
0⋅100 :)
Step-by-step explanation:
Find the measurement indicated in each parallelogram.
No links
Answer:
D
Step-by-step explanation:
QG=GS
x+5=2x-2
x=7
QG=7+5=12
Please help. I will mark brainliest if I can. ASAP I need help.
Answer:
y= -x+5
Step-by-step explanation:
you can decide whether or not to put a 1 in front of the x, but i don't think it's necessary
i hope this helps :)
Answer this question to get marked as brainliest!!!!
Answer:
1/8
Step-by-step explanation:
2^-3
1/2^3
1/8
1/8
[tex] \mathtt \green{Hope \: it \: helps \: uh }[/tex]
Factor the expression:
12x - 60
Answer: 12(x-5)
Step-by-step explanation: