Answer:
The answer is $37195.20
Step-by-step explanation:
The annual salary would be 12 times the monthly salary. Therefore, if the monthly salary is 2,870 the annual (yearly) salary would be 12 times as much. Which would result in 34,440. Then you would have to find 8% percent of 34,440 which is 2,755.20. Finally, just add the two numbers which will get you 37195.20.
Beth is designing a business card. She makes a scale drawing of her old business card by using a scale factor of 5/4. Her scale drawing is a 2 and 1/2 by 5-inch rectangle. The print shop says that the scale drawing is a reduction of the original card because the original card must be 3 and 1/8 inches by 6 and 1/4 inches. Which explains the print shop's error and gives the correct dimensions of Beth's original card?
a.The scale factor is greater than 1 so the scale drawing is an enlargement, and the original card is 2 inches by 4 inches.
b.The scale factor is greater than 1 so the scale drawing is an enlargement, and the original card is 3 and 3/4 inches by 6 and 1/4 inches.
c.The scale factor is a fraction so the scale drawing is a reduction, and the original card is 2 inches by 4 inches.
d.The scale factor is a fraction so the scale drawing is a reduction, and the original card is 3 and 3/4 inches by 6 and 1/4 inches.
Answer:
IT IS A..
Step-by-step explanation:
100 % sure
2xsquared +3x-20=0 solve using quadratic formula
Answer:
[tex]\frac{5}{2} ; -4[/tex]
Step-by-step explanation:
2x² + 3x - 20 = 0
a = 2 ; b = 3 ; c = -20
[ -b ± √(b² - 4ac) ] /2a = [-3±√(3²-4*2*-20]/2*2
= [-3±√(9+160)]/4
= [-3±√169 ]/4
= [-3± 13]/4
= [tex]\frac{-3+13}{4} ;\frac{-3-13}{4}\\\\=\frac{10}{4} ; \frac{-16}{4}\\\\=\frac{5}{2} , -4[/tex]
2x² + 3x - 20 = 0
2x² + 8x - 5x - 20 = 0
2x(x+4) - 5(x+4) = 0
(x+4)(2x-5) = 0
x+4 = 0
x = -4
2x - 5 = 0
2x = 5
x = 5/2
OKK 90 POINTS!!!! HURRY PLZZZ!!! 1. A tree casts a shadow that is 35.6 feet long. At that time, the angle of elevation of the sun is 45°. (It’s called angle of elevation because we have to raise, or elevate, our eyes to see the sun). Let’s find the height of the tree. Label the height of the tree as x on your diagram. (Part A) Explain why tan 45o (the ratio of opposite to adjacent) could help us find the height. (Part B) Use the given diagram to complete the trigonometric equation below: (Part C) Use your calculator to find the value of tan 45°. In your equation, replace tan 45° with this number, and solve your equation to find the tree’s height.
Answer:
A) tan(45°) help us to find the height of the tree because it relates our unknown with a known length (the length of the shadow)
B) tan(45°) = x/35.6
C) x = 35.6 ft
Step-by-step explanation:
B) From definition:
tan(45°) = opposite/adjacent
opposite to angle 45° is x ( the height of the tree), adjacent to angle 45° is the length of the shadow (35.6 ft). Replacing into the equation:
tan(45°) = x/35.6
C) tan(45°) = 1
Then:
1 = x/35.6
35.6 ft = x
#1
tanØ=Perpendicular/HypotenuseAs here base is given
We need the height or perpendicular
so tangent is the easiest way to be used
#2(No problem given,may refering to part C)
#3
tanØ=sinØ/cosØtan45=sin45/cos45as sin45=cos45
tan45=sin45/sin45tan45=1Put value
tan45=h/35.6h=35.6tan45h=35.6ftFor three consecutive numbers, the sum of the first number, twice the second, and 7
less than the third is 133. What are the three numbers?
Answer:
a = 34
b = 34
c = 36
Step-by-step explanation:
a ; b ; c = consecutive numbers =>
b = a + 1
c = a + 2
a + 2b + c - 7 = 133
a + 2(a + 1) + (a + 2) - 7 = 133
a + 2a + 2 + a + 2 - 7 = 133
4a = 133 + 7 - 4
4a = 136
a = 34
b = 34
c = 36
The school's square parking lot has an
area of 3025 ft2. What is the length of each
side of the parking lot?
Answer:
70.257924 m^2
Step-by-step explanation:
In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression? Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. Repeat part (b) using a confidence level of 80%. Compare the confidence levels from parts (b) and (c) and identify the interval that is wider. Why is it wider?
Answer:
( a ) 463 " human resource professionals " believe that the appearance of a job applicant is most important for a good first impression
( b ) Percent wise the confidence interval should be from about 86.6% to 93.4%
Step-by-step explanation:
I believe these first two parts here is sufficient enough to get you started!
" In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Part A: Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression?
Part B: Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. "
_____
( a ) We are given that n = 514, and p = 90%. The number of human resource professionals that said that the appearance of a job applicant is most important for a good first impression, should be the following -
514 x [tex]\frac{90}{100}[/tex]
= [tex]\frac{46260}{100}[/tex]
= 462.6
As the count of people can't be expressed as a fraction, the solution should be about 463 " human resource professionals. "
_____
( b ) Here the confidence level is 0.99 percent. Knowing that -
1 - ∝ = 0.99,
∝ = 1 - 0.99... = 0.01
Therefore, a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression should be calculated as directed in the attachment. By that the interval ranges as such -
0.8659 < p < 0.9341
And percent wise the confidence interval should be from about 86.6% to 93.4%
Sally is 148cm tall. The ratio of Sally to the height of the apple tree in her garden is 1:2. How tall in meters is the apple tree?
Answer:
so the height of apple tree in meters is 3 meters
Step-by-step explanation:
by using ratio and proportion rule
1:2=148:x
[tex]\frac{1}{2}=\frac{148}{x}[/tex]
by cross multiplication
1×x=2×148
1x=296cm
converting into meter as we know that 1centi=10^-2
1x=296×10^-2
x=2.96m≈3meters
i hope this will help you :)
10 points! Please answer within next 5 minutes!
Explain how to use the distributive property to find the product (3)(4 1/ 5)
Answer:
12 3/5
Step-by-step explanation:
Distributive property is when you take a number for example 3 and multiple all of the numbers inside the () in this case 4 1/5
1. multiple 3 by 4 =12
2 multiple3 by 1/5= 3/5
3 write your awnser 4 3/5
Hoped this helped
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = x^2 + 2. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Answer:
Step-by-step explanation:
To answer this question we should analyze both functions :
the intercepts with the x-axis are the numbers when a function f(x)=0here we must solve both equations :
x²=0x²+2=0the first one is obvious x=0 the scond is more interesting :
x²+2=0⇔x²=-2 wich is impossible since x²≥0 unless we use complex numbers .
So we notice thatf has one intercept.
we added 2 to f to get g but no real intercepts
Stefanie is in a freestyle aerial competition. The equation
h = - 16t + 30t +10 models Stefanie's height h, in
feet, t in seconds after leaving the ramp.
a. How long is Stefanie in the air?
B. When will Stefanien reach a height of 15 feet?
Answer:
A = about 2.2 seconds
B = between 0.2 and 1.7 seconds
Step-by-step explanation:
A .to calculate the time in the air, we have to replache h=0.
h = - 16t + 30t +10
0 = - 16t + 30t +10
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
a=-16 ; b=30 ; c=10
Replacing with the values given:
x =[ -30 ± √(30)²-4(-16)10] /2(-16)
x = [ -30 ± √900 +640] /-32
x = [ -30 ± √1,540] /-32
x = [-30 ± 39.24] /-32
Negative:
x = [-30 -39.24] /-32 = 2.16 seconds = about 2.2 seconds
B. .to calculate this, we have to replache h=15.
15 = - 16t + 30t +10
0 = - 16t + 30t +10-15
0= - 16t + 30t -5
a=-16 ; b=30 ; c=-5
Applying the quadratic formula again:
x =[ -30 ± √(30)²-4(-16)-5] /2(-16)
x = [ -30 ± √900-320] /-32
x = [ -30 ± √580] /-32
x = [-30 ± 24.08] /-32
Positive:
x = [-30 +24.08] /-32 = 0.18 seconds =0.2 seconds
Negative:
x = [-30 -24.08] /-32 = 1.7seconds
Feel free to ask for more if needed or if you did not understand something.
BRAINLY: Ken is working this summer as part of a crew on a
farm. He earned $8 per hour for the first 10 hours he
worked this week. Because of his performance, his
crew leader raised his salary to $10 per hour for the
rest of the week. Ken saves 90% of his earnings from
each week. What is the least number of hours he
must work the rest of the week to save at least $270 for the week? Please show how you got your answer
Answer:
22 hours
Step-by-step explanation:
Ken saves 90% of his earnings.
So, he must earn
270/x =90/100
90x=270*100
90x=27,000
x=27000/90
=300
x=$300 to save $270
For starting 10hours, Ken earns $8 per hour so he earns total
$8*10 hours=$80
Now, Ken has to earn remaining
$220 at a rate of $10/hour, he must work for at least
$220/$10
=22hours
The height of a building is 300 feet and its width
is 200 feet. A scale model of the building is 6
inches high. How wide is the scale model?
Answer:
50 in.
Step-by-step explanation:
Real building:
height 300 ft
width 200 ft
Model building:
height 6 in.
width 50 in.
300/6=50
Hope this helps! :) :)
The scale model of building is 4 inches wide.
The height of a building is 300 feet
its width is 200 feet
A scale model of the building is 6 inches high
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
let scale model of the building is "x" inches wide.
= 300/6 = 200/x
x = 4
Thus, The scale model of building is 4 inches wide.
Learn more about Ratio here:
brainly.com/question/13419413
#SPJ2
6f = 24 pls help!!!!!!!!!!!!!!
Answer:
f=4
Step-by-step explanation:
6f = 24
÷6 ÷6
f=4
Answer:
f = 4
Step-by-step explanation:
6f = 24
f = 24/6
f = 4
A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability that the next digit is odd?
A. 4/9
B. 1/5
C. 1/2
D. 5/9
Answer:
1/2
Step-by-step explanation:
If the locker has 3 non zero digits, this means the digits will take values from 1 to 9. If the first digits is 3, the remaining digits can take any of the values in the set {1, 2, 4, 5, 6 7, 8, 9}
Total elements in the set = 8
Total odd numbers there = {1, 5, 7, 9} = 4 odd numbers
If the next digit is odd, probability that the next digit is odd will be Total odd numbers/Total elements in the set = 4/8 = 1/2
Mary bought 10 quarts of juice at the grocery. How many gallons of juice did she buy?
Answer:
2.5 gallons
Step-by-step explanation:
Quarts of juice Mary bought = 10 quarts
1 quart = 0.25 gallons
10 quarts = 0.25×10 = 2.5 gallons
Therefore she bought 2.5 gallons
Hope this helps : ) . Have a nice day !
help me with mathhh?!!!!???
Answer:
x = 1 1/4
Step-by-step explanation:
sqrt( 7x+2) = sqrt(3x+7)
Square each side
(sqrt( 7x+2))^2 = (sqrt(3x+7))^2
7x+2 = 3x+7
Subtract 3x from each side
7x-3x +2 = 3x+7-3x
4x+2 = 7
Subtract 2 from each side
4x+2-2 = 7-2
4x = 5
Divide by 4
4x/4 = 5/4
x = 1 1/4
Check for extraneous solution
sqrt( 7*5/4+2) = sqrt(3*5/4+7)
sqrt( 35/4 + 8/4) = sqrt(15/4+28/4)
sqrt( 43/4) = sqrt(43/4)
Solution is valid
ASAP PLEASE+ brainliest
Answer:
-2b, b/12, -0.9b
Step-by-step explanation:
They all contain the same variable, B
Answer:
B, D, and E
Step-by-step explanation:
The only terms that can be combined are like terms. The 3 like terms in this expression are the b terms: -2b, b/12, and -0.9b. These 3 can be combined since they are like terms.
Hope this helps! Plz give me brainliest, it will help me achieve my next rank.
Help me answer this PLEASE !!
Answer:
1. A = 2184 yd. P = 212 yd.
Step-by-step explanation:
1. To find the perimeter of an object you need to do this formula: 2L * 2W which is 2 times the length times 2 times the width.
To find the Area you have to do this formula: H * W which means height times width.
2. They would need the area to fill the rectangle since you need to fill it and the area is the inside of the rectangle
3. She will need the perimeter since she is walking around the field and the perimeter is the outside (around) the shape.
A)f(x)=(x-1)(x+2)(x+4)
B)f(x)=(x-8)(x-4)(x-2)(x+1)
C)f(x)=(x-1)(x+2)(x+4)(x+8)
D)f(x)=(x-4)(x-2)(x+1)
Answer:
B) f(x) =(x-8)(x-4)(x-2)(x+1)
PLSSS HELP! Can someone pls tell me how to do this. y=1/3(x+2)^2, y=x+3
Answer:
There you go.
Step-by-step explanation:
Please do tell me if it's wrong.
heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answer:
0.6 - 1/4
Convert the decimal to fraction
Thus
0.6 = 3/4
3/5 - 1/4
Find the LCM
the LCM is 20
We get
3/5 - 1/4 = (3(4) - 5)/ 20
= 12-5/20
= 7/20
2/5 + 0.75
0.75 = 3/4
Find the LCM
The LCM is 20
Thus
3/4 +2/5 = ( 3(5) + 2(4))/20
= 15 + 8 /20
= 23 / 20 or 1 3/20
1.75 - 1/6
Convert the decimal to fraction
1.75 = 7/4
Thus we get
7/4 - 1/6
Find the LCM
The LCM is 12
Thus
7/4 - 1/6 = ( 7(3) - 2)/12
= 21 - 2 / 12
= 19/ 12 or 1 7/12
3/10 + 2.125
Convert the decimal to fraction
2.125 = 17/8
Thus
3/10 + 17/8
Find the LCM
the LCM is 40
Thus
3/10 + 17/8 = ( 3(4) + 17(5))/40
= 12 + 85/40
= 97 /40 or 2 17/40
Hope this helps
Answer:
1.15
19/12
2.425
Step-by-step explanation:
2/5+0.75
2/5=4/10
4/10=0.4
0.75+0.4
1.15
1.75-1/6
1.75=7/4
7/4=14/8=21/12
21/12-2/12
19/12, or 1.5833...
3/10=0.3
0.3+2.125=2.425
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
1.(−2, −8)
2.(−8, −2)
3.(6, −10)
4.(−10, 6)
Answer:
(-8, -2)
Step-by-step explanation:
Combine these equations: You'll get 2y = -4, so that y = -2.
Substituting -2 for y in the second equation, you'll get -2 + x = -10, or x = -8
Thus the solution is (-8, -2)
Lines L and M are parallel.
3/4
2 5
16
38° 7
-L
<-M
:
Find : m_1
Enter the number that
belongs in the green box.
[? ? ]
Enter
(4x - 5y + 3z) + (-4x +5y +3z)
Answer:6z
Step-by-step explanation:
Question:
(4x - 5y + 3z) + (-4x +5y +3z)
First Step:
Remove parenthesis
4x - 5y + 3z + -4x +5y +3z
Second Step:
Add like terms
4x + -4x = 0
-5y + 5y = 0
3z + 3z = 6z
Final Answer
6z
<!> Brainliest is much Appreciated! <!>
Answer:
6z
Step-by-step explanation:
(4x - 5y + 3z) + (-4x +5y +3z)
Combine like terms
4x - 4x -5y +5y +3z+3z
0+0+6z
6z
Please answer this question now
Answer:
5
Step-by-step explanation:
LM + MN = LN
4+5x = 9x
Subtract 5x from each side
4+5x-5x = 9x-5x
4 = 4x
Divide by 4
4/4 = 4x/4
1 =x
We want MN
5x =5*1 = 5
MN =5
Answer:
the length of MN is 5(1), or 5
Step-by-step explanation:
Segments add up to 9x here: 4 + 5x = 9x, so 4 = 4x and x must therefore be 1.
Then the length of MN is 5(1), or 5, and the length of LN is 9(1) = 9.
DONT ANSWER JUST TELL ME HOW TO DO IT!!!!! 15 POINTS!!! since there is two numbers infant of the parentheses which one do you distribute???
DONT REPORT PEOPLE WHO GIVE HINTS INSTEAD OF ANSWERS IT IS RUDE!!!
Answer:
C. -n - 2
Step-by-step explanation:
Since there are no parenthesis for 3n + 2, you only distribute the 2 to (-2n - 1):
3n - 4n - 2
-n - 2
Answer:
C. -n - 2
Step-by-step explanation:
3n + 2(-2n - 1)
Expand the brackets.
3n + - 4n - 2
Add like terms.
- 1n - 2
-n - 2
The distance between Chicago and Cleveland is
354 miles. If a person leaves Chicago at 9:50
AM. Central Time and arrives in Cleveland at
5:30 PM the same day Eastern Time, at what
average speed, to the nearest mile, does he
travel?
A)46MPH
B)50MPH
C)53MPH
D)55MPH
Answer:
The average speed on this trip was 46.15 mph. The correct option is A.
Step-by-step explanation:
In order to calculate the average speed, we need to apply the following formula:
[tex]v_{avg} = \frac{\text{distance}}{\text{time}}[/tex]
We were given the distance between the two cities in miles, therefore we can directly apply it to the expression. Although the time was given in the hh:mm 12 h format and we need a diference in hours, so we will convert that as shown below:
[tex]\text{time departure} = 9 + \frac{50}{60} = 9.83 \text{ h}[/tex]
[tex]\text{time arrival} = 12 + 5 + \frac{30}{60} = 17.5[/tex]
The elapsed time of the trip is the difference between these:
[tex]\text{time} = 17.5 - 9.83 = 7.67 \text{ h}[/tex]
We can now apply it to the formula:
[tex]v_{avg} = \frac{354}{7.67} = 46.15 \text{ mph}[/tex]
The average speed on this trip was 46.15 mph. The correct option is A.
Which of the equations are true identities n^3+3n^2
Answer:
n^2(n + 3)
Step-by-step explanation:
n^3 + 3n^2 factors as follows: n^2(n + 3). Note that this is an expression, not an equation.
1. Without graphing, identify the quadrant in which the point (x, y) lies if x > 0 and y<0.
A.IV
B.III
C.I
D.II
Answer:
A
Step-by-step explanation:
The quadrants are numbered from top right in a counter clockwise fashion. Since we know x is positive and y is negative, we can find that it is the fourth quadrant.
Consider the system of equations in standard form. 5x + y = 25, x + 5y = –25 Keisha used the graphing calculator and identified the solution as (6, –6). Is she correct? If not, what was her mistake? Yes, Keisha is correct. No. She switched the x and y values No. She only estimated instead of hovering over the intersection to find the exact point. No. She picked a point on one line instead of the intersection point.
Answer:
No. She only estimated instead of hovering over the intersection to find the exact point.
Step-by-step explanation:
I used a graphing tool to graph the two lines. They pass at (6.25, -6.25). Since Keisha said the solution was (6, -6), which is not correct, she has most likely rounded the two values instead of finding the exact one.
Answer:
No. She used the wrong slopes when graphing the equations.
hope this helps i did it in Edge and got it right
mark me brainliest pls