Answer:
3.61 sec
Step-by-step explanation:
Set the given d= 3t + 3t ^2 equal to 50 and solve for t:
3t^2 + 3t - 50 = 0
This is a quadratic equation with coefficients 3, 3 and -50. The discriminant is b^2 - 4ac, or 3^2 - 4(3)(-50), or 9 + 600 = 609
The roots of this quadratic are therefore:
-(3) ± √609 -3 ± 24.68 21.68
t = -------------------- = ------------------- = ----------- = 3.61 sec
2(3) 6 6
A taxi service charges a flat fee pen $1.25 and $0.75 per mile. If Henry has $14.00 which of the following shows the number of miles he can afford to ride in the taxi?
Answer:
A. M less than or equal to 17
Step-by-step explanation:
What is the height of this isosceles triangle?
Answer:
height ≈ 11.9 units
Step-by-step explanation:
Construct a perpendicular bisector from the vertex to the base, thus splitting the triangle into 2 right triangles.
Using the sine ratio in one of these right triangles, then
sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] ( the opposite is the height h )
sin48° = [tex]\frac{h}{16}[/tex] ( multiply both sides by 16 )
16 × sin48° = h , thus
h ≈ 11.9 ( to the nearest tenth )
A small business employs 98 people. All of the employees work for 8 hours a day, 5 days a week. Eleven of the employees receive a wage of $45 an hour and the rest $30 an hour. In total, how much does the business pay its employees each week?
The business requires $124,200 to pay its employees each week.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
A small company employs 98 workers. Every employee works 8 hours a day, 5 days a week. Eleven employees are paid $45 per hour, while the remaining employees are paid $30 per hour.
As per the given question, the required solution would be as:
No. of employees at $30hr: 98 -11 = 87
⇒ 8 hours × 5 days = 40 hour a week
⇒ 40 hour × $30 × 87 =104,400
⇒ 40 hour × $45 × 11 = 19,800
⇒ 104,400 + 19,800 = 124,200
Thus, the business requires $124,200 to pay its employees each week.
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Kristy ask Lonnie to think add 3 to it multiply the sum by 2 and the subtract 6 let n stand for lonnie starting number which expression represents Lonnie final number?
Answer:
2(n+3)-6
n=0
Step-by-step explanation:
2(3+n)-6=
Simplifying
2(3 + n) + -6 = 0
(3 * 2 + n * 2) + -6 = 0
(6 + 2n) + -6 = 0
Reorder the terms:
6 + -6 + 2n = 0
Combine like terms: 6 + -6 = 0
0 + 2n = 0
2n = 0
Solving
2n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Divide each side by '2'.
n = 0
Simplifying
n = 0
What is the solution to the equation? 5=2/5a
Ok, sorry, I'm back hehe >:3 (Find the volume of a right cone that has the radius of 4 inches and the height of 12 inches) (Again, will give brainliest to first responder, and if CORRECT!) TwT
There are 6 brooms and 4 mops in a janitor's closet. What is the ratio of the
number of brooms to the number of mops?
O A.
MIN
0110
OC.
O D.
nim
SURA
Answer:
i believe it is A because 6/2=3, 4/2=2, which gives the ratio 3/2.
Step-by-step explanation:
The ratio of the number of brooms to the number of mops is 3:2.
What is Ratio?In mathematics, a ratio is a phrase used to compare two or more numbers. It is used to express how large or tiny an amount is in comparison to another. A ratio compares two quantities by dividing them. The dividend is referred to as the "antecedent," while the divisor is referred to as the "consequent."
We have,
Number of brooms= 6
Number of mops= 4
So, the ratio of the number of brooms to the number of mops
= 6/4
=3/2
Thus, the required ratio is 3:2.
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Solve the following equation. Then place the correct number in the box provided.
7x=84
x=?
Answer:
7x=84
divide by 7
12=x
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
We are looking for the value of x. To find this, we must isolate x on one side. To do this, we can divide by 7 on both sides, leaving us with x=12.
If a case of chips has 27 bags in it. How many cases would they need for 410 bags of chips?
Equation:
Answer:
they would need 15 cases for 410 bag of chips
Step-by-step explanation:
410/7= about 15
if a major sector is 60% of circle whats the measure of central angle
Answer:
S divided by R = 0
the arc is 5.9 and radius is 3.5329 then the central idea becomes 1.67
Step-by-step explanation:
pls help help me need help!!
Answer:
50 feet
Step-by-step explanation:
[tex]\mid -20 \mid +\mid 30\mid = \\\\20+30= \\\\50[/tex]
Hope this helps!
Answer:
50
Because you just a
on the -20 is a abouloute number which its going to be a postive number so i add the 20 + 30
Isabella watched the cashier scan the 7 items in her shopping cart. The scanned prices were
$9.00 $9.00 $8.00 $5.00 $7.00 $4.00 $7.00
What was the median price of the items?
Answer:
$7.00
Step-by-step explanation:
First you have to order the prices from least to greatest-
$4.00, $5.00, $7.00, $7.00, $8.00, $9.00, $9.00
Median means the number in the middle so you find the middle number which is $7.00 (the 4th number from least to greatest)
At Robin's Snow Cones, the shaved ice portion of the cone is shaped like a perfect sphere with a diameter of 8 cm. Exactly half of the shaved ice sphere extends above the paper cup holder. What is the volume of ice that extends above the cup to the nearest cubic centimeter?
Answer:
The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3
Step-by-step explanation:
- The shaved ice is modeled as a sphere.
- The half of the shaved ice sphere extends above the cup holder.
- The volume of sphere with radius r = diameter d / 2 :
- We are to calculate the volume of the extended part of the sphere with diameter d = 8 cm or radius r = 4 cm.
- The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3
Hopes This Helps
Help please!!!! It geometry and i have no clue wht im doing
Step-by-step explanation:
21. supplementary angles (add up to 180°)
22. vertical angles (congruent)
23. vertical angles (congruent)
24. supplementary angles (add up to 180°)
25. supplementary angles (add up to 180°)
26. supplementary angles (add up to 180°)
27. supplementary angles (add up to 180°)
28. supplementary angles (add up to 180°)
29.
(complementary angles)
[tex]4x+3+x-8=90\\5x-5=90\\5x=95\\x=19\\[/tex]
30.
(supplementary angles)
[tex]9x-4+4x-11=180[/tex]
[tex]13x-15=180\\13x=195\\x=15[/tex]
31.
(vertical angles)
[tex]x-15=60\\x=75[/tex]
32.
(supplementary angles)
[tex]63+11x+2+5x-13=180\\52+16x=180\\16x= 128\\x= 8[/tex]
33.
(complementary angles)
[tex]x+28+6x-15=90\\7x+13=90\\7x=77\\x=11[/tex]
Hope this helps!
Can someone please help me with this I need help finding x and y using special right triangles and if you could please explain how
Answer:
y=46.445
x=24.04
Step-by-step explanation:
rule for first triangle which is right isosceles triangle with angles 30-60-90
sin 30 = opp/hypt.
0.5= opp/34
opp=17 which is the height
the part of y in the first triangle = a^2+b^2=c^2
a^2= 17^2 , b^2=y , c^2 =34
y ( first triangle )= √867=29.445
second triangle is right angle triangle 45-90-45
x= 24.04
sin 45= opp/hypt.
1/√2 =17/x
x= 17*√2 = 24.04
solving for other part of y in the right triangle
h= y = 17
the whole base y= 29.445+17 = 46.445
Please answer the question stated below:
If a fair die is rolled four times, which of the following is closest to the probability that at least one
roll will show the number 4?*
1) 17%
2) 67%
3) 52%
4) 36%
Answer:
Answer is 67%
Step-by-step explanation:
If you want to get the number four from 4 rolls the chances would be
1st roll = 1/6 (16.667%)
2nd roll = 2/6 (33.333%)
3rd roll = 3/6 (50.000%)
4th roll = 4/6 (66.667%)
So the answer is 67%
Please help me with my Algebra What is the solution to the system of equations? 3x−y−z=82x+y−z=3x−y+z=6 (−3,−4,−13) (2,−1.5,−0.5) (3,3,−2) (3,−1,2)
Answer:
HI
Step-by-step explanation:
The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1354 M.According to the instructor’s information, the true molarity (M) of this solution is 0.1364 M. What is the percent error in this experiment? Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
S,wow,w,
Please help will mark brainliest
Answer:
Klm=(k+1)m -(m+1)k
Klm=km+m -mk-k
Klm=m-k
What is the percent for;
1. 0.47
2. 0.98
3. 0.25
Don't forget the % symbol on your answer.
Answer:
47%98%25%Step-by-step explanation:
First you have to make it into a fraction, then multiply it by 100 :
Q1.
[tex]0.47 = \frac{47}{100} [/tex]
[tex] \frac{47}{100} \times 100 = 47[/tex]
Q2.
[tex]0.98 = \frac{98}{100} [/tex]
[tex] \frac{98}{100} \times 100 = 98[/tex]
Q3.
[tex]0.25 = \frac{25}{100} [/tex]
[tex] \frac{25}{100} \times 100 = 25[/tex]
Interpret the following table about school dropout at the basic level (5 marks)
Primary. Jhs
Boys. Girls. Total
49. 51. 100%
56. 44. 100%
Answer:
Step-by-step explanation:
Given the following :
- - - Jhs
Basic level - - - - Boys - - - - Girls - - - - Total
Primary - - - - - - - 49 - - - - - - 51 - - - - - - 100%
Jhs - - - - - - - - - - 56 - - - - - - 44. - - - - - - 100%
With the information above,
Primary Dropout percentage:
BOYS : [49 / (49 +51)] × 100.= 49%
GIRLS : [51 / (49 +51)] × 100.= 51%
Jhs: Dropout percentage
BOYS : [56 / ( 56 + 44) × 100 = 56%
GIRLS : [44 / (44 +56)] × 100.= 44%
What is the equation of the line that is parallel to the given
line and passes through the point (-3, 2)?
3x - 4y = -17
O 3x - 4y = -20
4x + 3y = -2
O 4x + 3y = -6
Answer:
Step-by-step explanation:
is the given line 3x - 4y = -17?
then,
- 4y = -3x -17
y=(3/4)x+17/4
it is parallel, so slope of our line is 3/4 or 0.75
y=0.75x+b
next, lets plug in the given point to get the y-int
2=0.75*(-3)+b
2=-2.25+b
b-2.25=2
b=4.25
the equation is y=0.75x+4.25
does this clear anything, or am I off topic? please tell me I will help you
The equation of line is [tex]y=\frac{3}{4}x+\frac{17}{4}[/tex]
Slope-intercept form of line :The given equation of line is,
[tex]3x-4y=-17\\\\4y=3x+17\\\\y=\frac{3}{4} x+\frac{17}{4}[/tex]
Compare above equation with [tex]y=mx+c[/tex]
Slope of given line [tex]m=\frac{3}{4}[/tex]
Since, the slope of all parallel lines are same.
So that, slope of required line is also [tex]\frac{3}{4}[/tex]
The equation of line is, [tex]y=\frac{3}{4}x+c\\[/tex]
Substitute point [tex](-3,2)[/tex] in above equation.
[tex]2=\frac{3}{4}(-3)+c\\\\\\c=2+\frac{9}{4} =\frac{17}{4}[/tex]
Substitute value of c in equation of line.
[tex]y=\frac{3}{4}x+\frac{17}{4} \\\\\\[/tex]
Thus, the equation of line is [tex]y=\frac{3}{4}x+\frac{17}{4}[/tex]
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The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What is the slope of the line that passes through the points?
A. 2
B. 3
C. 6
D. 9
Answer:
C. 6
Step-by-step explanation:
Answer:
A. 2
Step-by-step explanation:
slope formula is : [tex]\frac{y2-y1}{x2-x1}[/tex] or the difference in y-coordinates in 2 points divided by the difference in x-coordinates in 2 points.
in this question, they have given you both the difference in x and difference in y.
therefore this question is saying : [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{6}{3}[/tex]
[tex]\frac{6}{3}[/tex]= 2
therefore, the correct slope value is A. 2
Find the sum of the first 31 terms of the following series, to the nearest integer.
5,14,23,..
Answer:
Step-by-step explanation:
5+14 is 19
19+23 is 4242
Find the equation of the line, in slope-
intercept form, that passes through the point
(-3. 2) and has slope 3.
of the equation for
Answer:
y= 3x +11
Step-by-step explanation:
slope-intercept form:
y= mx+c, where m is the gradient and c is the y-intercept.
Given that the slope is 3, m=3
substitute m=3 into the equation:
y= 3x +c
To find the value of c, substitute a coordinate.
When x= -3, y=2,
2= 3(-3) +c
c -9= 2
c= 9 +2 (+9 on both sides)
c= 11 (simplify)
Thus, the equation of the line is y= 3x +11.
Use the function f(x) = 5x^2 + 2x − 3 to answer the questions.
Part A: Completely factor f(x).
Part B: What are the x-intercepts of the graph of f(x)? Show your work.
Part C: Describe the end behavior of the graph of f(x). Explain.
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.
A) (5x-3)(x+1)
B) [tex]\frac{-2 \pm \sqrt{4+60}}{10} = \frac35 \text{or} -1[/tex]
C) it gets up really high
D) Plug values in of x to get y and plot!
Find the area of the figure in the picture please!!!
Answer:
365cm^2
Step-by-step explanation:
Answer:
365cm ^2
I think
53!
The equation d = is can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an
equivalent equation solved for V?
Answer:
V = m/d
Step-by-step explanation:
d = m/V, m = mass and V = volume
We want to solve for V
Multiply each side by V
dV = m/V *V
dV = m
Divide each side by d
dV / d = m/d
V = m/d
In what ways are the sine and cosine graphs different?
Answer: A cosine graph is the darker curve on a graph. It shifts to the left of the sine curve. A sine graph is the lighter curve on the graph.
