Answer: (c)
Step-by-step explanation:
Given
The expression is [tex]3x^2-7[/tex]
checking options, for (a)
[tex]\Rightarrow 2x^2-11-x-4\\\Rightarrow 2x^2-x-15[/tex]
option (a) is incorrect
for (b)
[tex]\Rightarrow 5x^2-6-2x^2+1\\\Rightarrow 3x^2-5[/tex]
option(b) is incorrect
for (c)
[tex]\Rightarrow 10x^2-4-7x^2-3\\\Rightarrow 3x^2-7[/tex]
option (c) is matching with the given expression.
Heather's family has 2 adults and 3 kids. The tickets to the musical cost them $72.85.
Carl's family, on the other hand, paid $94.75 for 2 adults and 5 kids. How much higher
was the cost of an adult's ticket compared to a kid's ticket? Let the cost of an adult's
ticket be x and the cost of a kid's ticket be y.
Answer:
$9.05
Step-by-step explanation:
x = $adult
y = $kid
2x + 3y = 72.85 (Heather)
2x + 5y = 94.75 (Carl)
subtract the equations to get:
-2y = -21.90
y = 10.95
solve for 'x':
2x + 3(10.95) = 72.85
2x + 32.85 = 72.85
2x = 40
x = 20
Difference between 20 and 10.95 is $9.05
Consider a triangle ABC like the one below. Suppose that =C109°, =a46, and =b36. (The figure is not drawn to scale.) Solve the triangle
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
Answer:
Step-by-step explanation:
take 109 degree as reference angle
using sin rule
sin 109=opposite/hypotenuse
0.94=c/36
c=0.94*36
c=33.84
c=33.8
Calista conducts a survey to determine the favorite activity of students at her middle school. She asks five seventh-grade girls who are in the school library what they like to do best, and since all of these students answer that their favorite activity is reading, Calista states that the favorite activity of students at her middle school is reading. Explain the flaw in Calista's reasoning. Describe a sampling method that would produce valid information about the favorite activity of students at Calista's middle school.
Answer:
gimme pints
Step-by-step explanation:
Which of the following are factors of 15y2 - 5y?
Answer:
B. 5y and (3y-1) must be the answer
The volume of a gas held at a constant temperature varies inversely with the pressure of the gas. If the volume of a gas is 5000 cubic centimeters when the pressure is 200 millimeters of mercury, what is the volume when the pressure is 500 millimeters of mercury?
Answer:
2,000 cubic centimeters
Step-by-step explanation:
if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable
the equation that represents inverse proportion :
[tex]v = \frac{b}{p}[/tex]
where b = constant of proportionality
5000 = b / 200
b = 5000 x 200 = 1,000,000
v = 1,000,000 / 500
v = 2000
g(r)=25−3rg,
what does g(4) equal?
Answer:
g(4)= 25-12g
Step-by-step explanation:
g(r)= 25-3rg
g(4)= 25-3(4)g
g(4)= 25-12g
Answer:
13
Step-by-step explanation:
Khan
4 people can stay in a hotel for 5 days for $ 240. Find the bill for 5 people staying in
the hotel for a week
Answer:
$420
Step-by-step explanation:
Divide to isolate the cost
240 / 4 = 60 - amount per person (for 4 people)
60 / 5 = 12 - amount per person per day (5 days)
Multiply using that cost and new values.
12 x 5 = 60
60 x 7 = 420
A sphere has the radius of 5 meters. Find the volume . Use 3.14 for pi
The first thing we need is the formula. SO what's the formula? the formula for Volume of all geometry object is Base * height, but because this is a sphere. The formula is actually 4/3πr^3! Remember, we also need units. so lets start solving. The radius is 5 meters so . 4/3π*5m^3. Therefore we have about 523.6meters^3. Hope you like my question
Answer = 523.6meters^3
The volume of the given sphere with radius 5 meters is given by 523.33 m³.
What is Volume?Any three-dimensional solid's volume is the area it takes up. The shapes of these solids include cubes, cuboids, cones, cylinders, and spheres. Forms come in a wide range of volumes. We have looked at a variety of three-dimensional solids and shapes, including cubes, cuboids, cylinders, cones, and more.
As per the given data:
Radius of the sphere = 5 meters
Value of π as given in the question = 3.14
{always use the same value of π as given in the question}
For finding the volume of a sphere with a given radius:
[tex]V = \frac43 \pi r^3[/tex] {where r is the radius}
[tex]V = \frac43 \times 3.14 \times 5^3[/tex]
V = 523.33 m³
Hence, The volume of the given sphere with radius 5 meters is given by 523.33 m³.
Learn more about Volume here:
brainly.com/question/13338592
#SPJ3
use logarithm table to solve (0.7634)^4
Answer:
[tex]y = {(0.7634)}^{4} \\ log(y) = 4 log(0.7634) \\ log(y) = - 0.46899 \\ y = {10}^{ - 0.46899} \\ y = 0.3396[/tex]
hey! i’ll give brainliest please help
Answer:
I would assume it to be the second option, or B.
'The bogs the moose lived in became so soggy that only moose with the largest feet could successfully walk on the bog'
Step-by-step explanation:
Answer:
Second one
Step-by-step explanation:
It best explains why moose developed larger feet.
write an explicit rule for the nth term of the sequence 40, 43, 46, 49, ...
Answer:
40 + 3n
Step-by-step explanation:
40 is starting number
3n is 3 times the number in the sequence because it goes up by 3 each term
B. The sum of 3 and a number is -2, what is the number?
12) What value of x makes : f(x) = 30
Answer:
f(5) = 30 so x=5
Step-by-step explanation:
We want to find the value of x which makes the y value of the function 30
Looking at the graph x=5 makes y=30
HELPPPPP !!!!!! WILL MARK BRAINLEST
Answer: A
Step-by-step explanation:
hey! i’ll give brainliest please help
mary drew a picture of a building. she used the scale shown 1 in:16 ft. the building in her pictures 9 inches tall. what is the height, in feet, of the actual building.
Answer:
okay
i am not sure the answer but hi i am ok
HELPPPPP PLEASEEEE HELPPPPP HELPPPP HELPPPPPPPPP
Answer:
x = 6
m∡ABC = 135°
Step-by-step explanation:
∡ABE ≅ ∡CBD therefore we can create the following equation:
3x + 27 = 45
3x = 18
x = 6
∡CBD and ∡ABC are supplementary so 180 - ∡CBD = m∡ABC
180 - 45 = m∡ABC
m∡ABC = 135°
please please help me!!
What is the length of CD?
Round to one decimal place.
C
5.6
4
A
B
D
5.1
Answer:
CD = 4.4
Step-by-step explanation:
AD bisects <CAB into two equal angles. Therefore, based in the angle bisector theorem, the segments are proportional to each other. This implies that:
CD/CA = DB/AB
CD = ?
CA = 5.6
DB = 4
AB = 5.1
Therefore:
CD/5.6 = 4/5.1
Cross multiply
CD*5.1 = 4*5.6
CD*5.1 = 22.4
Divide both sides by 5.1
CD = 22.4/5.1
CD = 4.39215686
CD = 4.4 (1 decimal place)
how do i find the unit rate?
Note: Angles not necessarily drawn to scale
Answer:
for finding x
x+133=180(being linear pair)
x=180-133
x=47 degree
Step-by-step explanation:
Answer:
47°
Step-by-step explanation:
→ Work out APD
133°
→ Find the sum of APC and DPB
360 - ( 133 + 133 ) = 94
→ Divide the answer by 2
94 ÷ 2 = 47°
does anybody know how to solve this problem?
Answer:BC=68
DE=36
CE=34
Step-by-step explanation:
Since D, E and F are the midpoints, they follow the midpoint theorm which states that "The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side." As for others, it's just the calculation.
What is m<1?
A. 21°
B. 23°
C. 24°
Hi there!
[tex]\large\boxed{\text{B. }23^o}[/tex]
According to a circle theorem:
m∠1 = 1/2(a - b) where a and b are angles.
Thus:
m∠1 = 1/2(94 - 48)
Simplify:
m∠1 = 1/2(46) = 23°. The answer is B.
‼️ PLEASEEE HELPPP ‼️
Answer:
take out x+60 and = x+54 cross multiply for starters
Please help me I don’t understand it and I really need help.
Answer:
b
Step-by-step explanation:
At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in her department—11 males and 14 females. The employer wants to know how many ways there are to give vacation hours to 6 of the employees. How many possible groups of 6 employees can the employer choose?
Answer: There are 177100 possible groups.
Step-by-step explanation:
Given: Total employees = 25
Number of employees wants to choose = 6
The combination of n things taken r at a time is given by:-
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Put n = 25 and r= 6, we get
[tex]^{25}C_6=\frac{25!}{6!(25-6)!}\\\\=\frac{25\times24\times23\times22\times21\times20\times19!}{6!19!}\\\\=177100[/tex]
Hence, there are 177100 possible groups.
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased , the value of the savings bond was $156. Find the value of the bond when Tyler's mom purchased it. Explain your reasoning.
Answer:
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased, the value of the savings bond was $156.
Find the value of the bond when Tyler's mom purchased it. Explain your reasoning.
Step-by-step explanation:
what is
[tex] \frac{1}{4} + \frac{3}{10} + \frac{5}{21} [/tex]
show full work
thanks
Step-by-step explanation:
1/4+3/10+5/21
105+42+100/420
=247/420
=0.588
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
[tex]\longrightarrow \dfrac{247}{420} [/tex]
or
[tex]\longrightarrow0.588[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
The table and the graph below each show a different relationship between the same two variables, x and y: How much more would the value of y be on the graph than its value in the table when x = 12? (1 point) a 20 b 30 c 60 d 70
Answer:
c. 60
Step-by-step explanation:
in the table :
x = 12 , y = 12×25=300
on the graph :
x= 12 , y = 12×30=360
so, the difference is 360-300 = 60
In table
Rate of change
(125-100)/(5-4)25Whne x=12
y=12(25)=300In graph
Rate of change
(120-60)/230When x=12
y=12(30)=360
Difference
360-300=60What is the value of the expression below?
Answer:
D. 2
Step-by-step explanation:
Multiply the exponents to simply equation
5/3 * 1/5 = 5/15 = 1/3
8^1/3 = 2
Cube root of 8 is 2