0=40-10t-5t^2
t^2+2t-8=0
(t+4)(t-2)=0
t=-4 (not a solution) or t=2
Answer: after 2 seconds
While on vacation in Lancaster, David went out for a dinner that cost $75. If sales tax in
Lancaster is 4% and David left a 20% tip on $75, what was the total cost of his meal?
Answer:
$93.
Step-by-step explanation:
Given that David went out for a dinner that cost $ 75, the price at which a sales tax of 4% was applied, and left a 20% tip on $ 75, to determine the total cost of his meal the following calculation must be performed:
75 + (75 x 0.2) + (75 x 0.04) = X
75 + 15 + 3 = X
93 = X
Therefore, the total cost he payed for his meal was $ 93.
Answer:
ok
Step-by-step explanation:
ok
please help :( i’ve posted like 10 times and need answerers fast but no one can help. will give thanks and mark brainlist
9514 1404 393
Answer:
BC ≈ 9.6 mi
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle.
Tan = Opposite/Adjacent
tan(58°) = BC/(6 mi)
BC = (6 mi)tan(58°)
BC ≈ 9.6 mi
What is the equation of a line that contains the point (3, 5) and hasba slope of 3 in slope-intercept form?
Answer:
y= 3x - 5
Step-by-step explanation:
y= mx+b is slope-intercept form,
m= slope (3)
b= y-intercept (5)
Therefore, y = 3x - 5 is your form.
If you wanted to calculate it, you'd input the x value of 3, like y = 3^3 - 5 to find your slope intercept.
-2 (1/3x - 1/5) please answer ASAP I have to turn this in in 30 min!!
Answer:
1/3 + 1/5 them you solve -2
Step-by-step explanation:
Answer:
-2/3x+2/5
Step-by-step explanation:
Open up parentheses
-2 x 1/3x= -2/3x
-2 x 1/5= 2/5
Madison says her pet cat weighs about 8 ounces. Her brother Phillip says the cat weighs about 8 pounds. Whose estimate is more accurate? Use benchmarks to explain your answer.
Answer:
8 Pounds
Step-by-step explanation:
A cat that weighs 8 oz would be half of a pound, and that seems highly inaccurate. Most cats on average in the U.S. weigh 8 pounds, therefore that is your answer.
Another teacher decides to average the height of all 15-year-old male students in his classes throughout the day. By the end of the day, he measured the height of 57 boys and calculated an average of 68.1 inches. The known mean height for 15-year-old boys is 67 inches, with a standard deviation of 3.19 inches. What is the percentile rank for this sample? (enter a number only, rounded to the nearest 2 decimal places)
Answer: 0.47
Step-by-step explanation:
0.47% = 0.0047 in decimal form. Percent means 'per 57'. So, 67Inches means 0.47 per 100 or simply 0.47/100. If you divide 0.47 by 100, you'll get 0.0047 (a decimal number).
What is this surface area?!!??
Answer:
132 in^2Step-by-step explanation:
4×3×1/2×2+10×4×3=132
Aaliyah has $50 in a savings account. The interest rate is 5% per year and is not compounded. How much will she have in 1 year?
Answer:
25 million on some jewlery that you put on you head
Step-by-step explanation:
Answer:
$52.5
Step-by-step explanation:
given
P=$50 R=0.05 T=1
I=PRT
I=50×0.05×1
I=$2.5
50+2.5=$52.5
I need help with this I roll mark you if right
Answer:
That would be A my good Sir (or ma'am).
Step-by-step explanation:
A triangle has a total of 180 degrees in it , however we already know one side is 45, so we can add that to the solution, we also know that 2 sides are the exact same, so therefore, we will be multiplying our unknown value ( x = 67.5 btw, not so unknown) by 2, and you will always get 180 degrees, thats how you check your answer, also if you sbutract 45 from 180 and divide the product by 2 you will get the value of x ( which is 67.5).
Thats It Helps It Helps!
Triangle M N O is shown. Angle O N M is a right angle. Angle N O M is 40 degrees and angle L M N is 50 degrees.
Given right triangle MNO, which represents the value of cos(M)?
StartFraction O N Over M N EndFraction
StartFraction M N Over M O EndFraction
StartFraction O N Over M O EndFraction
StartFraction M N Over O N EndFraction
Given:
In triangle MNO, angle ONM is a right angle. Angle NOM is 40 degrees and angle LMN is 50 degrees.
To find:
The value of cos(M).
Solution:
In a right angle triangle,
[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]
Draw a diagram using the given information.
In triangle MNO, angle ONM is a right angle so its opposite side MO is the hypotenuse. For vertex M, MN is the base of the triangle. So,
[tex]\cos (M)=\dfrac{MN}{MO}[/tex]
Therefore, the correct option is B.
Answer:
it is b
Step-by-step explanation:
The sum of 2 numbers is 30. Their product is 176. What are the 2 numbers?
Answer:
Step-by-step explanation:
x, 30 - x add to 30. The other condition says
x (30 - x) = 176. Multiply it out.
30x - x^2 = 176, so
x^2 - 30x = -176, complete square by adding 15^2 to both sides
(x - 15)^2 = 225 - 176 = 49, take square root
x - 15 = 7, so one number is:
x = 22 and the other is 30 - x = 8.
Factor the polynomial completely.
x^4 – 256
Answer:
(x²+16)(X+4)(x-4)
Step-by-step explanation:
x⁴ can be written as (x²)²
256 can be written as (16)²
by identity. a²-b²= (a+b)(a-b) :
(x²+16)(x²-16)
x²-16 can be written as (x)²- 4²
by identity. a²-b²= (a+b)(a-b) :
(X+4)(x-4)
Therefore, the factors altogether would be
(x²+16)(x+4)(x-4)
Select the correct answer.
Which expression is equivalent to sin^2x-sinx-2/sinx-2?
Answer:
A
Step-by-step explanation:
We are given:
[tex]\displaystyle \frac{\sin^2(x)-\sin(x)-2}{\sin(x)-2}[/tex]
To make it simpler and more clear, we can let u = sin(x). So:
[tex]\displaystyle \frac{u^2-u-2}{u-2}[/tex]
Now, it becomes obvious that we can factor, which produces:
[tex]\displaystyle =\frac{(u-2)(u+1)}{u-2}[/tex]
Cancel:
[tex]=u+1[/tex]
And substituting back:
[tex]=\sin(x)+1[/tex]
Hence, our answer is A.
Answer:
A
Step-by-step explanation:
You might need:
Calculator
y
3+
2-
2
4 -3 -2
-1
1
2
-2
-3
What is the slope of the line?
Answer:
[tex]\displaystyle m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian PlaneCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (5, 0)
Point (-4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-0}{-4-5}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-3}{-9}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{1}{3}[/tex]What is the slope-intercept form of the line that passes through (2,7) and (4, -1)?
y = -4x + 15
y = -4x + 12
y = -4x + 30
y = -4x + 3
Answer:
y=-4x+15
Step-by-step explanation:
What is the area of the top of the can
if the radius is 8 cm?
Answer:
64π
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Perimeter = 16x + 8
The length of the indicated side is
Answer:
d
Step-by-step explanation:
Because you need to substitute the variable first, multiply that and add 8.
HELPPP DUE IN FEW MINS ILL GIVE BRAINLESS
Answer:
C. Find the sum of all the values and then divide by the number of values
Step-by-step explanation:
2x^3+7x^2-4x+7/x^2+2x+2
Answer:
Step-by-step explanation:
From midnight to 6:00 am, the temperature rose 1.55c each hour. If the temperature at 6:00 am was 4.3c, what was the temperature at midnight?
2
Simplify the expression by combining like terms.
2x + 4y + 6 + 2y - 5+ 3x
<
Answer:
5x + 6y + 1
Step-by-step explanation:
Write an
equation of the line with a slope of -3 and y-intercept of 0.
I need help!!!!
65 POINTS!!! ANSWER ASAP PLEASE!
Computer keyboards have many different types of keys. A key may have a number, letter, or symbol (like a question mark) on it. On the keyboard shown, what percent of the keys do NOT have numbers on them?
A.
40%
B.
25%
C.
75%
D.
10%
Answer:
abt 75%
Step-by-step explanation:
Show that the triangles are similar by comparing the ratios of the corresponding sides. Simplify your answer completely in order to be able to compare the ratios of the corresponding sides. Please help
Answer/Step-by-step explanation:
AC = 1.2
AB = 4
BC = 2.6
DF = 3
DE = 10
EF = 6.5
Thus:
[tex] \frac{DE}{AB} = \frac{10}{4} = \frac{5}{2} [/tex]
[tex] \frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2} [/tex]
[tex] \frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2} [/tex]
The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.
Standardized tests: In a particular year, the mean score on the ACT test was and the standard deviation was . The mean score on the SAT mathematics test was and the standard deviation was . The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0 / 40 of 4 Parts Complete Part 1 of 4 Your Answer is incorrect (a) Find the -score for an ACT score of . The -score for an ACT score of is
Complete question :
Standardized tests: In a particular year, the mean score on the ACT test was 19.3 and the standard deviation was 5.3. The mean score on the SAT mathematics test was 532 and the standard deviation was 128. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0/4 Part 1 of 4 (a) Find the z-score for an ACT score of 26. The Z-score for an ACT score of 26 is
Answer:
1.26
Step-by-step explanation:
Given that:
For ACT:
Mean score, m = 19.3
Standard deviation, s = 5.3
Zscore for ACT score of 26;
Using the Zscore formula :
(x - mean) / standard deviation
x = 26
Zscore :
(26 - 19.3) / 5.3
= 6.7 / 5.3
= 1.2641509
= 1.26
What is the value of y?
y =
5. Os 384 participantes de uma campanha beneficente foram igualmente distribut
dos em 16 locais de arrecadação do município. Quantos participantes ficaram em
cada local de arrecadação?
Answer:
24
Step-by-step explanation:
384÷16= 24
A blueprint for a house has a scale factor n = 45. A wall in the blueprint is 5 in. What is the length of the actual wall
Answer:
The length of the actual wall is 405 inches or 33.75 feet
Can someone help me with this pls, it's due very soon!!
21=8+x (solve for x)
Answer:
X=13
Step-by-step explanation:
Answer:
x=13
Step-by-step explanation:
21=8+x
Swap sides so that all variable terms are on the left hand side.
8+x=21
Subtract 8 from both sides.
x=21−8
Subtract 8 from 21 to get 13.
x=13
