Answer:
in the lefthand direction
Step-by-step explanation:
in |x + 6| , the +6 means that it shifts left by 6 units
if it was -6, it was should right by 6 units
Substitution. Please help answer.
Answer:
A and C
Step-by-step explanation:
1) -5(4x-6)-14=-4x+16
-20x+30-14+4x-16=0
-16x=0
x=16
3)4x-8(x-2)=-4x+16
-4x+16=-4x+16
A ball is thrown from the top of a seaside cliff. Its height, h, in meters, above the sea after t seconds can be modelled by h= -5t² +21t + 120
Using the vertex of the quadratic equation, it is found that the ball reaches it's maximum height after 2.1 seconds.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the equation is given by:
h(t) = -5t² + 21t + 120.
Meaning that the coefficients are a = -5, b = 21, c = 120.
Hence, the time at which the maximum height is reached is given by:
[tex]t_v = -\frac{b}{2a} = -\frac{21}{-10} = 2.1[/tex]
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
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Please HELP Me with this problem!
Answer:
B
Step-by-step explanation:
because 30÷3=10
Answer:
Your answer is B
Step-by-step explanation:
Solve each exponential equation. round your answer to two decimal places.
4a. 4²x +3=1
4b. ex-1 -5 = 5
4a.4²x +3=1
Slotuion:
4²x + 3=1 : x= -⅛ (Decimal:x= -0.125)
Steps
4² x +3=1
4²=16
16x + 3=1
Subract 3 from borh sides
16x +3-3=1-3
Simplify
16x=-2
Divides both sides by 16
[tex] \frac{16 \times }{16} =
[tex] \frac{ - 2}{16} [/tex]
[/tex]
Simplitfy
[tex] \frac{16 \times }{16} : x[/tex]
Simplify
[tex] \frac{ - 2}{16}: -⅛ [/tex]
x = -⅛
therefore the answer is x= -⅛
4b.ex-1 -5 =5
x~=3.30258
explanation:
e^(x-1)-5=5
e^(x-1)=10
x-1=ln 10
x-1~=2.30258
x~=3.30258
[tex] \large \pink{ \overbrace{ \underbrace{ \tt{ \color{red}{ \: \: \: \: \: \: \: hope \: it \: help \: you \: \: \: \: \: \: \: \: }}}}}[/tex]
You have writing errors may be
[tex]\\ \rm\Rrightarrow 4x²+3=1[/tex]
[tex]\\ \rm\Rrightarrow 4x²=1-3[/tex]
[tex]\\ \rm\Rrightarrow 4x²=-2[/tex]
[tex]\\ \rm\Rrightarrow x^2=-1/2[/tex]
[tex]\\ \rm\Rrightarrow logx²=-log0.5[/tex]
[tex]\\ \rm\Rrightarrow 2logx=-log0.5[/tex]
[tex]\\ \rm\Rrightarrow logx=0.15[/tex]
[tex]\\ \rm\Rrightarrow x=10^{0.15}[/tex]
[tex]\\ \rm\Rrightarrow x=1.412[/tex]
#2
[tex]\\ \rm\Rrightarrow e^{x-1}-5=5[/tex]
[tex]\\ \rm\Rrightarrow e^{x-1}=10[/tex]
[tex]\\ \rm\Rrightarrow x-1=ln10[/tex]
[tex]\\ \rm\Rrightarrow x-1=2.3[/tex]
[tex]\\ \rm\Rrightarrow x=2.3+1[/tex]
[tex]\\ \rm\Rrightarrow x=3.3[/tex]
write 4200 as a power whose base is e
Answer:
Step-by-step explanation:
First find the natural log of 4200: It is 8.343.
Then 4200 = e^8.343
Alogger runs 1 1/2 miles 3
times each week and 2 1/2
miles 4 dimes each week
What is the total distance
run by the Jogger each
week?
Answer: 14.5
Step-by-step explanation: (1½ ×3 ) + (2½ ×4)² = 4.5 + 10
Help me with this im confused
Answer:
y=6x
Step-by-step explanation:
1. find the slope m. Pick two points on the line, such as (0,0) and (1,6). Plug those points into the slope formula.
m=change in y/change in x
m=6-0/1-0 Plug in (0,0)(1,6)
m=6/1 simplify
m=6
The slope is 6
2. Find the y-intercept. Since the line crosses the y-axis at 0, the y-intercept is 0.
3. Use the slope m=6 and the y-intercept b=0 to write the equation in slope-intercept form.
y=mx+b
y=6x+0 Plug in m=6 and b=0
y=6x
Flying against the wind, an airplane travels 2610 kilometers in 3 hours. Flying with the wind, the same plane travels 8750 kilometers in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answer:
200 km/hr
Step-by-step explanation:
Let Va = the velocity of the airplane
Let Vw = the velocity of the wind
When flying with the wind:
(Va+Vw)*(4 hours) = 4000
4Va + 4Vw = 4000
4Vw = 4000 - 4Va
Vw = 1000 - Va
When flying against the wind:
(Va-Vw)*(7 hours) = 4200 km
7Va - 7Vw = 4200
Substitute 1000-Va for Vw and solve for Va:
7Va - 7(1000-Va) = 4200
7Va -7000 + 7Va = 4200
14Va = 11200
Va = 800 km/hr
Rate of wind:
Vw = 1000 - Va = 1000 - 800 = 200 km/hour
Helppppppp
Miguel thinks that his data do not support the article's claim because 63.5%
of the students who made the honor roll at his school do not exercise.
Using data from the table, explain what is wrong with Miguel's reasoning.
The 63.5% of the students who do not exercise is the wrong percentage because 70% of the students do not exercise.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Miguel thinks that his data do not support the article's claim because 63.5% of the students who made the honor roll at his school do not exercise.
The percentage of the students who do not exercise will be
[tex]\rm P = \dfrac{112}{160} \times 100\\\\P = 70\%[/tex]
The 63.5% of the students who do not exercise is the wrong percentage because 70% of the students do not exercise.
More about the percentage link is given below.
https://brainly.com/question/8011401
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11 divided by 15?
Help me
Answer:
0.733 repeating
Step-by-step explanation:
use your calculator
Your cousin's age is the cube of your little sister's age. If your
cousin is 8 years old, how old is your little cousin?
Answer:
2
Step-by-step explanation:
2 times 2 times 2 equals 8
Describe the transformation that maps the pre-image (ΔA) to the image (ΔA').
Step-by-step explanation:
90 degrees rotation, clockwise
Twenty years ago a small town in Texas had a population of 10,000. The population has increased 8% each year
since then. Predict what the population of the town will be in 10 more years.
a. In 10 more years the population of this town will be approximately 21,589
b.
In 10 more years the population of this town will be approximately 100,626
c. In 10 more years the population of this town will be approximately 123,794
d. In 10 more years the population of this town will be approximately 81,966
Please select the best answer from the choices provided
Answer:
A
Step-by-step explanation:
8% = .08 in decimal form
10 000 ( 1 + .08)^10 =
When an oil tank is full, it contains 5¼ gallons. How many gallons does it hold when full?
Help! I will give brainliest!!!!
Answer:
3.14 (or pi ) feet
Step-by-step explanation:
Entire circle circumference = pi *d = 8 pi feet
45 degrees is a fraction of the entire 360 degrees of the circle
45 / 360 * 8 pi = pi = 3.14 ft
HELP will give brainliest
complete the worksheet 2-18
Answer: 1/10, 1/7, 2/9, 2/5, 7/11, 1/4, 1/10, 1/7, 1/9, 1/2 , 1/8, 1/12, 0/1, 0/0
1/13, 1/3, 1/4
Step-by-step explanation: i think i know all the answers
Triangle A B C is shown. Side A C has a length of 27. Side C B has a length of 54.
Based on the diagram, which expresses all possible lengths of segment AB?
AB = 25
27 < AB < 81
AB = 85
AB< 27 or AB > 81
Answer:
27<AB<81
Step-by-step explanation:
The sum of two sides of a triangle have to be than the length of the third side. 27+54 is 81, so the AB has to be less than 81. Now, to find the minimum, I can say 27+x has to be greater than 54, so x has to be greater than 27. Therefore, the answer has to be between 27 and 81, so the 2nd one is correct.
Answer:
B. 27 < AB < 81
Step-by-step explanation:
Nice
Solve for x. Your answer must be simplified
x/7 ≥ -6??
Apply the 45°-45°-90° Triangle Theorem to find the length of a leg of a right triangle if the length of the hypotenuse is 8/2
inches.
Answer:
d
Step-by-step explanation:
d
()
Which of the following fractions is the
largest? A.5/81 B.75/81 C.10/9 D.11/9
Answer:
D. 11/9
Step-by-step explanation:
Which of the following fractions is the largest?
A. 5/81
B. 75/81
C. 10/9
D. 11/9
To make things easier, convert the fractions to decimals:
A. 5/81 = 0.062
B. 75/81 = 0.93
C. 10/9 = 1.11
D. 11/9 = 1.22
As we can see, 11/9 or 1.22, is the largest of all the values.
Hope this helps!
To make the denominators of the given fractions equivalent, we need to determine the LCM of the denominators. Clearly, the denominators of the set of fractions are 81, 81, 9, and 9 respectively.
81 ⇔ 81, 162, 243...9 ⇔ 9, 18, 27, 36, 45, 54, 63, 72, 81, 90....LCM = 81 (81 × 1 = 81 and 9 × 9 = 81)
Multiply the denominators such that the denominator is equivalent to 81. Keep in mind that if we are multiplying a number (x), the numerator must be multiplied by the same number (x) .
⇒ 5/81, 75/81, 10/9, 11/9
⇒ (5 × 1)/(81 × 1), (75 × 1)/(81 × 1), (10 × 9)/(9 × 9), (11 × 9)/(9 × 9)
⇒ (5)/(81), (75)/(81), (90)/(81), (99)/(81)
⇒ 5/81, 75/81, 90/81, 99/81
Step 2. Compare the fractions in the given set:Since 99 > 90 > 75 > 5, we can tell that 99/81 is the largest as:
5/81 (5/81) < 75/81 (75/81) < 90/81 (10/9) < 99/81 (11/9)Therefore, 11/9 is the largest fraction in the set.
Find the volume of this triangular prism.
6 cm
7 cm
10 cm
Answer:
L×W×B
10×7×6
=420cm of triangular prism
Andy is building a model train. A train in real life has a wheel diameter of 33 inches, a length of 20 feet, a width of 10 feet, and a height of 12 feet. If his model has a width of 8 inches, what does the height need to be?
By finding and using the scale factor for the model, we conclude that the height of the model is 9.6 inches.
How to apply a scale factor?The ratio between the model's width and the real width is the scale factor, and all the dimensions change following that scale factor.
We have:
8 in = 10ft
1 ft = (8/10) in
This means that each feet in the real life, will be represented with (8/10) inches in the model.
Now we know that the real height is 12ft, then the model's height will be:
12* (8/10) in = 9.6 in
So the correct option is B.
If you want to learn more about scale factors, you can read:
https://brainly.com/question/3457976
Answer:
9.6
Step-by-step explanation:
took usatest prep got a 100%
What fraction of 720 is 80
Answer:
9/36.Step-by-step explanation:
Fraction:
80/720Simplify:
80/720= 9/36Answer would be 9/36.
A cheetah can run for a short time at 3 m/s (70 mph). How far can it travel in 19 s?
distance =
Answer: 57m
Step-by-step explanation: Speed is 3m/s
Time is 19seconds
distance =speed × time
Distance = 19 × 3
Answer:
57 m.
Step-by-step explanation:
In 1 second it can run 3 m
So in 19 s it can run 3*19
= 57 m.
There are 15 jelly beans left in a bag. The table shows the frequency of each color.
Number
Color
In Bag
Blue 3
Pink 1
Green 4
Yellow 3
Orange 4
Which of the following BEST describes the probability of choosing a particular color of jelly bean?
Answer:
Pink is the least likely to be chosen because it has the lowest frequency.
Step-by-step explanation:
On our vacation we traveled 416 miles using 16 gallons of gas how many miles were we able to go on 1 gallon of gas?
Answer:
26 miles per gallon
Step-by-step explanation:
Divide 416 by 16 to find miles per gallon :)
If tan 8
3
what does sin 8 = ?
4
Answer:
The answer is option B
3/5
4. Ashley claims that if she triples the side length of a square (s), the area of the square will also be tripled. Do you agree? Explain your thinking.
Answer :-
Let the side of the square measure a cm, thus, according to the question,
New length = 3(a cm)We know that,
➭ Area ( Square ) = a²
Thus, the area of the square with normal length i.e. a cm, will be,
⤳ Area = a x a
⤳ Area = a²
Now, by taking the new length, the area will become,
⤳Area = 3a x 3a
⤳ Area = 9a²
Now,
We observe that, if we divide these, we get,
➤ 9a²/a²
( a² will get canceled since its common )
Thus, the ratio becomes,
➭ 9 : 1 = Area square with tripled length : Area of square
Thus, the area will increase by 9 times, and not 3.
Hence, Ashley's assumptions are wrong.
Find the value of x
Please answer ASAP!!!!!
Answer:
x = 8
Step-by-step explanation:
24x = 6 x 32
24x = 192
x = 192/24
x = 8
Need help plezzzzzzzzzzzzzzzz
Answer:
The answer is B. 60°
Step-by-step explanation:
The Unit Circle.
A = sin^-1 ( [tex]\frac{\sqrt{3} }{2}[/tex]) = 60°