What is the value of the expression 99 – 7a2 when a a = 3?
Answer:
36
Step-by-step explanation:
plug in a=3 for a
I belive you meant 99- 7 * a^2
so 99- 7 * (3)^2 = 36
The value of the expression 99 - 7a² for a = 3 is 36.
What is an algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
The given expression is 99 - 7a².
Substitute a = 3 into the given expression:
99 - 7 (3)²
= 99 - 7×9
= 99 - 63
= 36
Hence, the value of the expression 99 - 7a² for a = 3 is 36.
Learn more about algebraic expressions here:
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I REALLY NEED TO PASS THIS! PLEASE EXPLAIN UR ANSWER, THANK YOU!
Question 8 options:
A full can of vegetable broth is 17 cm tall and has a radius of 5 cm. Morgan uses some of the broth to make curry and now the broth left in the can is 12 cm high.
Morgan used approximately___ cubic centimeters of broth.
Use 3.14 for pi. Do not round your answer.
Answer:
Step-by-step explanation:bjgnjfvnifcb
Answer:
392.5cm³
Step-by-step explanation:
height of broth in can used= 17-12
= 5cm
Amt. of broth used= πr²h
= 3.14×5²×5
= 392.5cm³
two Friends have agreed to do a job with pace $2,000 total together there receive apart payment Of 0.25 Of the total amount How much of part payment should reach friend receive ,if they split it equally?
A.$250
B.500
C.$1000
D.1500
Question
Scientific notation is commonly used in science, technology, engineering, and math, which are known as
STEM fields. Assume there are approximately 2.6 million engineers in a country. If engineers make an
average salary of about $70,000 per year, how much income does this group generate collectively?
Write the answer in both scientific and standard notation.
Answer:
$182000000000
1.82 * 10^11
Step-by-step explanation:
Given that :
Number of engineers = 2.6 million
Average salary = $70,000
Collective income generated by group of engineers yearly :
This will be on average :
2,600,000 * 70,000 = $182000000000
In scientific notation :
$182000000000 = 182 * 1000000000
182 * 1000000000 = 182 * 10^9
182 = 1.82 * 100 = 1. 82 * 10^2
Hence,
$182000000000 = 1.82 * (10^2 * 10^9)
$182000000000 = 1.82 * 10^11
There are 11 teachers and 132 students at a middle
school. What is the ratio of teachers to students?
Answer:
[tex]\frac{1}{12}[/tex] or 1:12
Step-by-step explanation:
There are 11 teachers : 132 students
Because ratios are just another way of writing fractions, by putting this into a fraction we get:
[tex]\frac{11}{132}[/tex]
Dividing both the numerator and denominator (top and bottom) by 11, we get:
[tex]\frac{1}{12}[/tex]
Thus, the ratio is [tex]\frac{1}{12}[/tex], or 1:12
Carolina y Juan fueron a la tienda y entre los dos se gastaron Q15.00. Carolina gastó Q3.20 más que Juan. ¿Cuánto gastó Juan? Grupo de opciones de respuesta
Answer:
Q 5.9
Step-by-step explanation:
Que el dinero gastado por Juan sea x
Deja que el dinero gastado por Carolina sea y
Si el dinero total gastado es Q 15
Luego;
x + y = 15 ------- (1)
De la segunda oración;
y = x + 3,2 -------- (2)
Sustituyendo (2) en (1)
x + x + 3,2 = 15
2x + 3,2 = 15
2x = 15 - 3,2
2x = 11,8
x = 5,9
x = Q 5.9
Por lo tanto Juan gastó Q 5.9
The bacteria population in a petri dish was 14 at the beginning of an experiment. After 30 minutes the population of 20 in after an hour the population of 56
Answer:
The answer is below
Step-by-step explanation:
A geometric sequence is a sequence such that each term after the first is found by multiplying the previous one by a fixed number (common ratio). It is given by:
[tex]a_n=ar^{n-1}\\\\n=1,2,3,\ .\ .\ .[/tex]
where a is the first term, r is the common ratio.
From the question, the first term is 14 (at n = 1). a₁ = 14
After 30 minutes (n = 2), the population is 28. a₂ = 28
After 1 hour (n = 3), the population is 56. a₃ = 56
Common ratio (r) = a₃/a₂ = a₂/a₁ = 56 / 28 = 28/14 = 2
a) This sequence is represented as:
[tex]a_n=14(2)^{n-1}[/tex]
b) After 4 hours, that is n = 9:
[tex]a_9=14(2)^{9-1}=14(2)^8=3584[/tex]
Una botella de agua de medio decimetro cubico se llena en 35 segundos .Con el mismo flujo de agua,¿En cuantos minutos se llenaria una garrafa de 4.5 litros?
Answer:
5,250 minutes
Step-by-step explanation:
0.5 cubic Centimeter = 0.0005 liter
So, 4.5 liters = 4,500 cubic Centimeter
Time required for 0.5 cubic Centimeter = 35 seconds
So, we can calculate the total time required by using following formula
Total time required = (Time required for 0.5 cubic Centimeter × 2 ) × 4,500 cubic Centimeter
So, Total time required = (35 seconds ×2 ) × 4,500
= 70 × 4,500
= 315,000 seconds
= 5,250 minutes
2. ABCD is a parallelogram. If AD = 3x+15 and BC = 21, find AD
Answer:
2
Step-by-step explanation:
3x+15=21 (the opposite side of parallelogram is equal)
3x=21-15
3x=6
x=6/3
so x=2
AD=2
8. How is the graph of log (x - 2) + 1 translated from the graph of log x?
shifted right 2 units and up 1 unit
shifted right 1 unit and down 2 units
shifted left 1 unit and down 2 units
shifted left 2 units and up 1 unit
In 1945, a microwave cost $435. Today, a microwave costs $130. What is the percent of change?
Answer:
29.89%
Step-by-step explanation:
Step 1: We assume that 435 is 100% since it is our output value.
Step 2: We next represent the value we seek with [tex]$x$[/tex].
Step 3: From step 1, it follows that [tex]$100\%=435$[/tex].
Step 4: In the same vein, [tex]$x\%=130$[/tex].
Step 5: This gives us a pair of simple equations:
[tex]100\%=435(1)\\\\x\%=130(2)[/tex]
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left-hand side) of both equations have the same unit (%); we have
[tex]$\frac{100\%}{x\%}=\frac{435}{130}$[/tex]
Step 7: Taking the inverse (or reciprocal) of both sides yields
[tex]\frac{x\%}{100\%}=\frac{130}{435}\\\\\Rightarrow x=29.89\%[/tex]
Therefore, [tex]$130$[/tex] is [tex]$29.89\%$[/tex] of [tex]$435$[/tex].
PROBABLY THE LAST THING IMA ASK FOR NOW BUT UH HELP
Answer:
3520 Yards
Step-by-step explanation:
1 Mile = 1760 Yards
Answer: 3520 yards
Step-by-step explanation:
1 mile = 5280 x 2 = 10,560
2miles = 10,560
in yards = 3520 yards
When graphing the coordinates (2,1) you would....
A. first move two spaces on the x-axis and then up 1 space on the y-axis
B. first move two spaces up on the y-axis and then 1 space over on the x-axis
Answer:
The answer is A :)) hehe.
formula of simple interest
Answer:
I = PRT where I is the interest, P is the principal deposited/borrowed, R is the rate as a decimal (take the number & divide by 100), and T is time in years.
which expression is equivalent to 5+5t+3t+?
Answer:
10t+3
Step-by-step explanation:
Answer:
10t+3
Step-by-step explanation:
Need help plz ASAP!!! Plz show work too!
please help!!! its due soon :)))
Answer:
C
Step-by-step explanation:
Answer:
The answer my friend is B.
SOOO in math class today we learned more about algebra such as
X + 10 = Y should I care??
Like srsly miss teacher ???
lol
welp
that's lame!!
Hello there I hope you are having an great day :)
X + 10 = Y if you are trying to work out Y it would equal y = x + 10
If you are trying to work out X it would equal x = y − 10
Hopefully that helps You :)
Azlyn can ride her horse 15.2 miles per hour. She is in an endurance race that is 76 miles
long! How long should this race take her to complete?
Step-by-step explanation:
Remember, math is a language
when you see per think fractions
15.2 miles per hour = 15.2 miles / 1 hour
since this is a fraction, Units can cancel just like numbers
To cancel miles and be left with hours rearrange the fraction
1 hour / 15.2 miles
then multiply by 72 miles
[tex] \frac{1hour}{15.2miles} \times 72miles[/tex]
the miles cancel and youre left with hours!
so youd write and solve 72 / 15.2
Find the number of x-interpects of y=-x^2+4x-12
Answer:
x = -2 + 2√2 i and -2 - 2√2 i
Step-by-step explanation:
Given the function, y=-x^2+4x-12
x intercept occurs at y = 0
Substitute y = 0
0=-x^2+4x-12
x^2 - 4x + 12 = 0
Factorize
x = -4±√4²-4(12)/2
x = -4±√16-48/2
x = -4±√-32/2
x = -4 ± √32 i/2
x = -4+4√2 i/2 and x =-4-4√2 i/2
x = -2 + 2√2 i and -2 - 2√2 i
Find the exact value of csc theta if tan theta = sqrt3 and the terminal side of theta is in Quadrant III.
Answer:
3rd option
Step-by-step explanation:
Using the identities
cot x = [tex]\frac{1}{tanx}[/tex]
csc² x = 1 + cot² x
Given
tanθ = [tex]\sqrt{3}[/tex] , then cotθ = [tex]\frac{1}{\sqrt{3} }[/tex]
csc²θ = 1 + ([tex]\frac{1}{\sqrt{3} }[/tex] )² = 1 + [tex]\frac{1}{3}[/tex] = [tex]\frac{4}{3}[/tex]
cscθ = ± [tex]\sqrt{\frac{4}{3} }[/tex] = ± [tex]\frac{2}{\sqrt{3} }[/tex]
Since θ is in 3rd quadrant, then cscθ < 0
cscθ = - [tex]\frac{2}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] = - [tex]\frac{2\sqrt{3} }{3}[/tex]
A survey of teens suggested that 33% can name at least one professional baseball player, and 90% of those teens can also name at least one professional football player. In the entire population, 64% can name at least one professional football player. What percentage of teens can name at least one player from these sports? (0.33)(0.64) = 0.2112 0.33 + 0.64 = 0.97 0.33 + 0.64 – (0.33)(0.64) = 0.7588 0.33 + 0.64 – (0.90)(0.33) = 0.673
Answer:
[tex]d.\ 0.33 + 0.64 – (0.90)(0.33) = 0.673[/tex]
Step-by-step explanation:
Given
[tex]P(Baseball) = 33\%[/tex]
[tex]P(Baseball\ n\ Football) = 90\%[/tex]
[tex]P(Football) = 64\%[/tex]
Required
[tex]P(Baseball\ or\ Football)[/tex]
This is calculated as:
[tex]P(Baseball\ or\ Football) =P(Baseball) + P(Football) -P(Baseball\ n\ Football)[/tex]
[tex]P(Baseball\ or\ Football) = 0.33 + 0.64 - (0.90)(0.33)[/tex]
[tex]P(Baseball\ or\ Football) = 0.33 + 0.64 - 0.297[/tex]
[tex]P(Baseball\ or\ Football) = 0.673[/tex]
Match the formula to the correct figure.
We got- cylinder, cube, cone, and pyramid.
1. πxr^2xh
2. 1/3Bxh
3. 1/3 πxr^2xh
4. Lxwxh
No bit links plz. 15 points.
Given:
The figures cylinder, cube, cone, and pyramid.
To find:
The formula of volume for the given figures.
Solution:
Volume of a cylinder is:
[tex]V_1=\pi r^2h[/tex]
Where r is the radius and h is the height.
Volume of a cube is:
[tex]V_2=a^3[/tex]
Where a is side length of cube.
It is also written as:
[tex]V_2=l\times w\times h[/tex]
Where l is length, w is width, h is height and [tex]l=w=h[/tex].
Volume of a cone is:
[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]
Where r is the radius and h is the height.
Volume of a pyramid is:
[tex]V_4=\dfrac{1}{3}Bh[/tex]
Where B is the base area and h is the height.
Therefore the table of formulae is shown below:
Figure Volume formula
Cylinder [tex]\pi r^2h[/tex]
Cube [tex]l\times w\times h[/tex]
Cone [tex]\dfrac{1}{3}\pi r^2h[/tex]
Pyramid [tex]\dfrac{1}{3}Bh[/tex]
HELP QUICK PLS USIFHKDJGS
Answer:
4 x 3 = 12
2 x 3 = 6
12 + 6 = 18 cubic cm
Answer:b
Step-by-step explanation:
If a circle has a radius of 16, and an arc length of 12, what is the angle measure of the central angle that matches that arc?
Answer:
135°
Step-by-step explanation:
The arc length is calculated as
EF = circumference of circle × fraction of circle
= 2πr × [tex]\frac{?}{360}[/tex]
Given EF = 12π , then
2π × 16 × [tex]\frac{?}{360}[/tex] = 12π ( divide both sides by 2π )
16 × [tex]\frac{?}{360}[/tex] = 6 ( multiply both sides by 360 to clear the fraction )
16 ? = 2160 ( divide both sides by 16 )
? = 135°
How to measure an angle
Answer:
You can use Protector' but dint have use this method:
Acute. Draw a vertical line connecting the 2 rays of the angle. To determine the number of degrees in an acute angle, connect the 2 rays to form a triangle. Line up the short end of your ruler with the bottom ray, then draw a vertical line intersecting the other ray using the long side of your ruler.
Find Value Of X. PLEASEEE HELP
2^( 2x - 3 ) = 128
2^( 2x - 3 ) = 2^7
2x - 3 = 7
2x = 10
x = 5
Answer:
x = 5
Step-by-step explanation:
[tex]x^{2x-3} +52 = 180\\x^{2x-3} = 180 -52\\x^{2x-3} = 128\\x^{2x-3} = 2^{7} \\2x-3=7\\2x=10\\x=10/5\\x=5[/tex]
HELP ASAP!!! HELP FAST PLEEASE!!!
Answer:
e.
Step-by-step explanation:
x + (3x - 4) = 5 - (-7 - 3x)
Answer:
x = 16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
x + (3x - 4) = 5 - (-7 - 3x)
Step 2: Solve for x
[Distributive Property] Distribute negative: x + 3x - 4 = 5 + 7 + 3x[Addition] Combine like terms: 4x - 4 = 12 + 3x[Subtraction Property of Equality] Subtract 3x on both sides: x - 4 = 12[Addition Property of Equality] Add 4 on both sides: x = 16If you add the digits in a number, how many numbers between 0 and 10,000 will have a sum of 10? (For example, 334 is one such number because 3 + 3 + 4 = 10)
Answer: I think 100,000
Step-by-step explanation: