Which of the following theorems verifies that triangle STU is congruent to triangle XYZ
Answer:
B. HL
Step-by-step explanation:
If f(x) = -x2 + 6x, what is f(-3)?A) -162 B) -27 C) -9 D) 9
Answer:
-27
Step-by-step explanation:
f(x) = -x^2 + 6x
Let x = -3
f(-3) = -(-3)^2 + 6(-3)
= -9 - 18
-27
Answer:
f(3)= -9
Step-by-step explanation:
F(x)=-x2+6x
f(3)=--3^2+6.-3
f(3)=9+-18
f(3)=-9
(3,10) (5,-3) (7,4) (3, 8) is this a function
Answer:
no
Step-by-step explanation:
This is not a function
To be a function each x can only go to one y
x=3 goes to both y=10 and y=8
Not a function
Find the parity of the following if a and b have different parities.
(5a - 3b)(a² + 5b) + 2
9514 1404 393
Answer:
odd
Step-by-step explanation:
If 'a' and 'b' have different parity, the result has odd parity.
__
Assume a=odd, b=even
(5·odd -3·even) = odd
(odd^2 +5·even) = odd
(odd)(odd) +2 = odd
__
Assume a=even, b=odd
(5·even -3·odd) = odd
(even^2 +5(odd)) - odd
(odd)(odd) +2 = odd
_____
The attached verifies this with numbers.
A bag contains 3 blue marbles and
4 yellow marbles. You pull out one
marble, do not replace it, and then pull
out another one. What is the probability
that the first marble is yellow and the
second one is blue? In simplest form
Answer:
2/7
Step-by-step explanation:
Probabilty 1 = 4/7
Probability 2 = 3/6 = 1/2 (because if you not replace it, there is one less
final probability = 4/7 * 1/2 = 4/14 = 2/7
What is the image of (-4, -5) after a reflection over the y-axis?
Answer:
(4,-5)
Explanation:
Jeremy needs to buy three pieces of wood to make a triangular frame. If the wood is cut in 1 l- foot increments, which set of wood length will form a triangle?
What is the length of side x? If necessary, round your answer to two decimal places. 19 12
Answer:
D. 14.73
Step-by-step explanation:
According to Pythagoras,
19^2 = 12^2 + x^2
x^2 = 19^2 - 12^2
x^2 = 361 - 144
x^2 = 217
x = [tex]\sqrt{217}[/tex]
x = 14.73
what is pakistan ..........!?
Answer:
Pakistan is a south asian country that borders India, Iran, Afghanistan, and China
That is another country, it's right next door to India, Iran, Afganistan, Tajikistan, and across the water from it, is Oman.
Simplify the expression:
7r–3r+9r
Answer:
13r
Step-by-step explanation:
-First, collect like terms by calculating the sum or difference of their coefficients.
(7-3+9)r
-Then, calculate the sum or difference and you get..
13r.
Hope this helps! :)
Answer:
13r
I think it is correct but just try making sure oater sorr if I a wrong though
12th grade stat and prob !!!!
Answer:
The 1st one .
Step-by-step explanation:
B. Solve for the unknown side by applying the Triangle Angle‐Bisector Theorem.
Answer: It is 18
Step-by-step explanation: Well because it is the same as the other side.
Solve for the unknown side by applying the Triangle Angle‐Bisector Theorem.
Solution for r:-[tex] \rightarrow\sf{\frac{25}{15}=\frac{s}{18}\rightarrow{15s}=25(18)}[/tex]
[tex] \rightarrow\sf{s=\frac{25(18)}{15}}[/tex]
[tex] \rightarrow\sf{s={\frac{[(5)(5)][(2)(3)(3)]}{(3)(5)}}}[/tex]
[tex]\rightarrow\sf{s=(5)(2)(3)=30}[/tex]
Solution for s:-[tex]\rightarrow\sf{s=20-r=20-12={\color{magenta}{8}}}[/tex]
Answer:-The Unknown sides of the given figure above is 8.[tex]\large{—————————————————————}[/tex]
#CarryOnMath⸙
✍Zenitsu2
PLEASEEEEEE HELP ME !!!!
Answer:
A and b
Step-by-step explanation:
Be has an arrow towards the end signaling it moving outward just like GH
Find The size of angle XYZ Give your answer to 1 decimal place
Angle XY 6cm
Angle ZY 15cm
Answer: [tex]3\sqrt{21}[/tex]
Step-by-step explanation:
[tex](xy)^{2}+(xz)^2=(yz)^2\\so, (6)^{2}+(xz)^2=15^2 \\(xz)^2=225-36\\xy=3\sqrt{21}[/tex]
Find the equation of the line that contains the point
P(−4, −1)
and is perpendicular to the graph of
y = − 4/5x − 4.
Answer:
Step-by-step explanation:
y = − 4/5x − 4.
y = 5/4 x - 4
-1 = 5/4(-4) + b
-1 = -5 + b
b = 4
y = 5/4 x + 4
If x^3 + 4x^2 - 16x + 24 is divided by x + 3, what is the value of the remainder?
A.-33
B.24
C.57
D.81
Answer:
24
Step-by-step explanation:
Answer:
the remainder is 81
Step-by-step explanation:
so , equate x +3 to 0 , as in x + 3 = 0 then x = -3
so now we know the value of x so just replace it in the expression to get the remainder
♡´･ᴗ･`♡
Staples, a chain of large office supply stores, sells a line of desktop and laptop computers. Company executives want to know whether the demands for these two types of computers are dependent on one another. Each day's demand for each type of computers is categorized as Low, Medium-Low, Medium-High, or High. The data shown in the table below is based on 205 days of operation. Based on these data, can ? Test at the 5% level of significance.
low med-low med-high high
low 4 15 14 3 36
laptops med-low 6 18 18 23 65
med-high 13 17 10 17 57
high 7 15 15 10 47
30 65 57 53 205
Required:
a. What is the test value for this hypothesis test?
b. What is the conclusion for this hypothesis test?
Answer:
As the calculated χ² = 1.23 is less than the critical region χ²≥ χ²(0.05,9)= 16.92 ,Staples can conclude that demands for these two types of computers are independent at the 0.05 level of significance.
Step-by-step explanation:
As we have to test the independence of the two categories the chi square of independence test is applied.
Let the null and alternate hypotheses be
H0 :The demand for each type of computers is independent
against the claim
Ha: The demand for each type of computers is not independent i.e they are associated.
The significance level alpha is chosen to be 0.05
The critical region for alpha =0.05 and (4-1)(4-1) = 3*3 =9 d.f is
χ²≥ χ²(0.05,9)= 16.92
Actual Data
low med-low med-high high Total
low 4 15 14 3 36
med-low 6 18 18 23 65
med-high 13 17 10 17 57
high 7 15 15 10 47
Total 30 65 57 53 205
Expected Frequencies
low- low = 30*36/205= 5.27
low- med.low = 65*36/205 = 11.41
low- medium high = 57*36/205= 10.009
low- high = 53*36/205 =9.31
medium low- low = 30*65/205 = 9.51
medium low- med.low = 65*65/205= 20.61
medium low- medium high = 57*65/205= 18.073
medium low- high = 53*65/205= 16.80
medium high- low = 30*57/205= 8.34
medium high- med.low = 65*57/205= 18.07
medium high- medium high = 57*57/205= 15.85
medium high- high = 53*57/205= 14.74
high- low = 30*53/205= 7.76
high- med.low = 65*53/205= 16.80
high- medium high = 57*53/205= 14.74
high- high = 53*53/205= 13.70
Summarizing in a table
Expected Frequencies
low med-low med-high high Total
low 5.27 11.41 10.009 9.31 35.999
med-low 9.51 20.61 18.073 16.8 64.993
med-high 8.34 18.07 15.85 14.74 57
high 7.76 16.8 14.74 13.7 53
Total 30.88 66.89 58.672 54.55 210.992
Using Excel
The Chi Square Values are
0.062823
0.270857
0.159572
0.735995791
1.229247532
As the calculated χ² = 1.23 is less than the critical region χ²≥ χ²(0.05,9)= 16.92 ,Staples can conclude that demands for these two types of computers are independent at the 0.05 level of significance,
Jack was 10 years older than Priscilla. Together their ages totaled 158 years. What were their ages?
answer is Jack is 89 years old and Priscilla is 69 years old
Step-by-step explanation:
first you would do 158 / 2 and that would equal to 79 so you would have two 79s you would change the first 79 to 69 and you change the second one to 89
Let f(x)= -5x+6. Find and simplify f(3b-5).
Answer:
-15b+31
Step-by-step explanation:
f(x)=-5x+6
f(3b-5)=-5(3b-5)+6=-15b+25+6=-15b+31
A third-grade class is using plaster of Paris to make impressions of their hands. Each student needs 12 ounces of plaster to make an impression. There are a total of 20 students in the class. How many pounds of plaster will the teacher need for the activity?
Answer:
15 pounds of plaster
Step-by-step explanation:
First, convert ounces to pounds.
In 1 pound, there are 16 ounces. Create a proportion to convert 12 ounces to pounds.
[tex]\frac{1}{16}[/tex] = [tex]\frac{x}{12}[/tex]
Cross multiply and solve for x:
16x = 12
x = 0.75
So, each student will need 0.75 pounds of plaster. Multiply this by 20 to find the total amount the teacher will need:
20(0.75)
= 15
So, the teacher will need 15 pounds of plaster
Answer:
15 pounds
Step-by-step explanation:
ABCD is a parallelogram.
Angle CDA is 56°
What is the measure of angle ABC?
Answer:
Step-by-step explanation:
angle CDA = angle ABC (opposite angles of a parallelogram are equal)
56 degree = angle ABC
therefore angle ABC is 56 degree.
(a+b)^2= ???? hihihihihi
Answer:
(a+b)^2=a2+2.a.b+b^2
Answer:
(A+B)^2=A^2+2AB+B^2
Step-by-step explanation:
Unit 5 Geometry
i Betty's bedroom is 10; feet by 12 feet,
How much carpet does she need to buy
to cover the entire floor with no carpet
left over?
Answer:
B) 126 square feet
Step-by-step explanation:
10.5 x 12 = 126
(area)
There are 13 books on a shelf. 8 of these books are new. The rest of them are used. What is the ratio? (PICTURE)
Answer:
(a) 5:13
(b) 5:8
Step-by-step explanation:
There are 13 books in all.
8 books are new.
13 - 8 = 5 books are used.
Ratio of used books to all books: 5 used books : 13 books in total.
Ratio of used books to new books: 5 used books : 8 new books.
~
Answer
A= [tex]\frac{5}{13}[/tex] Or 5:13
B= [tex]\frac{5}{8}[/tex] or 5:8
Step-by-step explanation:
the question asked for you to show the ratio for the number of used books compared to the total number on the shelf. Since it tells us that 8 of the 13 books are new that would mean that the other 5 books that are on the shelf with the 8 new ones would be used. Then you just put it in a ratio, which if im remembering correctly from when i learned this it just looks like a fraction basically. Same goes for the second question except you are just putting the number of used books to the number of new books in ratio form. Hope this helps and also if you need help learning ratios i gotchu covered :)
The length of a rectangle is 7.5 inches and the width is 2.75 inches. What is the ratio, using whole numbers, of the length to the width
30:11
30:22
11:15
15:11
Answer:
30 : 11
Step-by-step explanation:
Length : Width
7.50 : 2. 75
750 : 275
30 x 25 : 11 x 25
30 : 11
A prescription requires 10 mg of tablet. A nurse read the incorrect unit of measurement and gave a patient .1 g of the tablet. Is the patient at risk and she should inform the doctor immediately?
A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.
The patient at risk and she should inform the doctor immediately.
What is a unitary method?Unitary method is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Given
Prescription requires 10 mg of tablet.
A nurse read the incorrect unit of measurement and gave a patient .1 g of the tablet.
We know
1 g = 1000 mg
0.1 g = [tex]x[/tex]
⇒ [tex]x[/tex] × 1 = 0.1 × 1000
⇒ [tex]x[/tex] = 100 mg
10 mg < 100 mg
By using unitary method we can say that
A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.
The patient at risk and she should inform the doctor immediately.
Learn more about unitary method here
https://brainly.com/question/22056199
#SPJ2
2x - 5y + 3 = 6x - 3y + 7. If x = 4, what is the value of y?
Answer:
y = - 10
Step-by-step explanation:
2x - 5y + 3 = 6x - 3y + 7
2(4) - 5y + 3 = 6(4) - 3y + 7
8 - 5y + 3 = 24 - 3y + 7
11 - 5y = 31 - 3y
11 - 11 - 5y = 31 - 11 - 3y
- 5y = 20 - 3y
- 5y + 3y = 20 - 3y + 3y
- 2y = 20
- 2y ÷ - 2 = 20 ÷ - 2
y = - 10
The expression 0.75(1.06p) represents the total amount Jaxon paid for a jacket
originally priced p dollars. Which changes to the original price could have resulted in
this expression?
Answer:
0.75 could be a 25% discount. 1.06 could be a sales tax.
Step-by-step explanation:
If p is the original price, then 1.06p could be the amount after a 6% tax is include. Then multiplying by 0.75 could indicate a 25% discount (if you don't pay 25% = 0.25, then you do pay 75% = 0.75).
In case you're wondering about discounting first then charging tax, the result is the same because the multiplication can be done in either order.
0.75(1.06p) = 1.06(0.75p)
how do you find volume of sphere, cylinder, cone ? ... explaining please
Answer:
hmmmm
Step-by-step explanation:
Cone
The volume of a cone is linked to the volume of a cylinder. A cone is one third of the volume of a cylinder. The volume of a cone is ¹/₃ × π × r² × l. To calculate the volume we multiply these values together. The answer will be written in units³.
Sphere
The volume of a sphere is ⁴/₃ × π × r³. To calculate the volume we multiply these values together. The answer will be written in units³.
Cylinder
The volume of a cylinder is π × r² × l (r is the radius of the circle and l is the length of the cylinder). To calculate the volume we multiply these values together. The answer will be written in units³. It is more accurate to use π = 3.142 or the π button on a calculator.
A cone is a 3D shape with 2 faces and one edge
A sphere is a 3D shape. It has one continuous face and no edges
A cylinder is a type of prism. It has 3 faces and 2 edges
website I used: https://www.bbc.co.uk/bitesize/topics/zrf3cdm/articles/ztqsdxs
I hope this helped!
Solve the inequality:
4 +5t < 19
Answer:
t < 3 is the answer
Step-by-step explanation:
source: https://www.tiger-algebra.com/drill/4_5t%3C19/
^ (it has an explanation too)
