Answer:
27.2 ft
Step-by-step explanation:
similar triangles
51/90=x/48
x=27.2 ft
Can sone One help me please, Thanks a lot
Answer:m
Step-by-step explanation:m
if the probability of winning the netball game is 0.7, what is the probability of not winning the game?
Timothy has 72 coins, consisting of quarters, dimes, nickels, and 8 pennies. Samantha comes and takes all of his quarters, takes 3 of his dimes, takes 2 of his nickels, and leaves him with one penny, leaving him with 45 coins. What is the value of quarters that Samantha took?
Can someone explain how to solve this problem?
Answer:
The total value of quarters that Samantha took is $3.75
Step-by-step explanation:
Timothy has 72 coins.
He has:
Q quarters
D dimes
N nickels
8 pennies.
Then:
Q + D + N + 8 = 72
Samantha takes:
3 dimes
2 nickels
Leaves him with one penny, then she takes 7 pennies.
all of the quarters, so she took Q quarters.
So now Timothy has 45 coins.
And for each particular type of coin, Thimothy now has:
D - 3 dimes
0 quarters
1 penny
N - 2 nickels
And we know that he has 45 coins, then:
(N - 2) + 1 + ( D - 3) = 45
Which we can rewrite as:
N + D + 1 - 2 - 3 = 45
N + D - 4 = 45
N + D = 45 + 4 = 49
So we have two equations:
Q + D + N + 8 = 72
N + D = 49
Now we can replace the second equation into the first one:
(N + D) = 49
then:
Q + D + N + 8 = 72
Q + (D + N) + 8 = 72
Q + 49 + 8 = 72
Now we can solve this for Q
Q = 72 - 49 - 8 = 15
So Samantha took 15 quarters.
Each quarter has a value of $0.25
Then Samantha took:
15*$0.25 = $3.75
The total value of quarters that Samantha took is $3.75
can someone help asap
what is the total time it will take the snowball to melt completely
Point-slope form
y -24 = -4/5(x -0)
Find x when y is 0 (X-intercept)
0 -24 = -4/5(x -0)
-24 = -4/5x
x = -120/-4
x = 30
Answer: A. 30 minutes
What is the slope of the line that passes through (-4,5) and (2,-3)
Answer:
solution,
(X1,y1)= (-4,5)
(X2,Y2)=(2,-3)
slope of the line(m)= y2-y1/x2-x1
=-3-5/2-(-4)
=-8/6
=-4/3
Plz see attachment below
Answer:
Step-by-step explanation:
Table I
Given function is,
f(x) = [tex]b^x[/tex]
From the table attached,
For x = 0.827, value of function f(0.827) = 5,
f(0.827) = [tex]b^{0.827}[/tex]
Therefore, [tex]b^{0.827}=5[/tex]
[tex]\text{log}(b^{0.827})=\text{log}(5)[/tex]
0.827[log(b)] = log(5)
log(b) = 0.8452
b = [tex]10^{0.8452}[/tex]
b = 7
Therefore, function 'f' will be,
f(x) = [tex]7^x[/tex]
For f(x) = 9,
9 = [tex]7^x[/tex]
log(9) = log([tex]7^x[/tex])
log(9) = x[log(7)]
x = 1.129
Table II
Given function is g(x) = [tex]\text{log}_b(x)[/tex]
From the given table,
For x = 7, g(x) = 1
1 = [tex]\text{log}_b(7)[/tex]
[tex]b^1=7[/tex]
b = 7
Therefore, the function 'g' will be,
g(x) = [tex]\text{log}_7(x)[/tex]
For g(x) = 1.318
1.318 = [tex]\text{log}_7(x)[/tex]
[tex]x=7^{1.318}[/tex]
[tex]x=12.9968[/tex]
[tex]x=13.997[/tex]
Find the vertex of the following equation: y = -0.25x2 + -1.5x + 6
Hi there!
[tex]\large\boxed{(-3, 8.25)}[/tex]
Solve for the vertex by completing the square:
y = -0.25x² - 1.5x + 6
Factor out a negative:
y = -(0.25x² + 1.5x) + 6
Remember that a square binomial is:
a² + 2ab + b²
We know that:
a² = 0.25, so a = 0.5
1.5 = 2ab, so:
1.5 = 2(0.5)b
b = 1.5
b² = 2.25
Thus:
y = -(0.25x² + 1.5x + 2.25) + 6 - (-2.25)
Simplify:
y = -(0.5x + 1.5)² + 8.25
Find the vertex by factoring out 0.5:
y = -0.5(x + 3)² + 8.25
Thus, the vertex is:
(-3, 8.25)
I am struggling with this question anyone help
9514 1404 393
Answer:
b, c
Step-by-step explanation:
The factor (x+7) is common to both numerator and denominator. The function can be simplified by cancelling that factor.
y = (x -3)/(x -9) . . . . . . x ≠ -7
The restriction x ≠ -7 is put on the simplified function because the original function is undefined there. The denominator factor x+7 makes the denominator 0 at that point.
The point at x=-7 is called "hole" in the graph. A properly drawn graph will show the function is undefined there (has a hole).
__
The denominator of the simplified function is zero when x=9. This means there is a vertical asymptote at x=9.
__
The ratio of the highest-degree terms of the numerator and denominator will tell you the end behavior of the function — its value when x is large. Here, that ratio is y = x/x = 1. This represents a horizontal asymptote at y=1. The function approaches this line as x gets large, but never reaches it.
The appropriate descriptors are ...
Asymptote: x=9, y=1Hole: x=-7Which function has the greater maximum value: f(x) = -2x2 + 4x+3, or g(x),
the function in the graph?
ту
g(x)
A. f(x)
B. g(x)
C. The functions have the same maximum value.
Answer:
B
Step-by-step explanation:
f(x) maxmum value is
[tex] \frac{ - 4}{ - 4} = 1[/tex]
[tex] - 2( {1}^{2} ) + 4(1) + 3 =
5[/tex]
G(x) minimum value is 6.
B is the answer.
find the value of a and b if [tex]5+√3/7+2√3=a-b√3[/tex]
Answer:
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.
Step-by-step explanation:
There are mistakes in the statement, correct form is presented below:
[tex]5+\frac{\sqrt{3}}{7} + 2\sqrt{3} = a - b\cdot \sqrt{3}[/tex].
By direct comparison we have the following system of equations:
[tex]a = 5[/tex] (1)
[tex]\frac{\sqrt{3}}{7}+2\sqrt{3} = -b\cdot \sqrt{3}[/tex] (2)
In (2) we solve for [tex]b[/tex]:
[tex]\left(\frac{1}{7}+2 \right)\cdot \sqrt{3} = -b\cdot \sqrt{3}[/tex]
[tex]b = -\frac{15}{7}[/tex]
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.
Does the graph represent a linear expression?
Yes or No
Please answer fast!
When finding ordered pairs for a table of values for a function, the selection of x-coordinates can be
random
True
O False
Combine these radicals.
-3/81 + 16
-23
0 0 0
-11
-3797
-3.713
Need answers please
Step-by-step explanation:
-23 is the answer
√18=9
√16=4
-3×9+4= -23
Answer:
-23 is right on edg
Step-by-step explanation:
Helppp and explain pls and ty
PLZZZZZZ HELP! Find the area.
Answer:
14.88 km
Step-by-step explanation:
add both base 1 and base 2 together divide them by 2 then multiply by the height.
Rachel covered a single lap of 1,210 m in 55 s. Calculate her speed in m/s
Answer:
22 m/s
Step-by-step explanation:
Take the distance and divide by the time
1210 m/55s
22 m/s
Answer:
22m/sStep-by-step explanation:
[tex]speed = \frac{distantce}{time} \\ = \frac{1210m}{55s} \\ = 22m {s}^{ - 1} [/tex]
I’m so mad I have this whole exam but does anybody know this one?
Answer: i would go with the third one
I need help please Brainly fam
Answer:
The third one
Step-by-step explanation:
Just took the quiz
What is the area of the parallelogram represented by the vertices A(-6, -1), B(-2, -1), C(-1,-4) and D(-5, -4)?
[tex]\huge\underline\blue{✏ANSWER}[/tex]
(no answer found.)
(maybe can found on other apps?)
#BrainliestBunch
Answer:
12
Step-by-step explanation:
1) Vector AB (-2-(-6); -1-(-1))= (4; 0). Vector module is module AB=sqrt (4*4+0*0)= 4
2) The module of Vector BC is sqrt((-1-(-2))*(-1 - (-2))+ (-4-(-1))* (-4-(-1))= sqrt (9+1)= sqrt 10.
3) The module of AC is sqrt ((-1-(-6))*(-1-(-6))+ (-4-(-1))*(-4-(-1))= sqrt (25+9)= sqrt 34.
4) Having the triangle with the sides AB, BC, AC use the theorem of cos:
sqrt34*sqrt34= sqrt 10*sqrt 10 + 4*4- 2*sqrt10*4*cosB
34-10-16= -8 sqrt 10*cosB
c0sB= (-1)/ sqrt10
5) Find out sinB that is equal to Sqrt (1- ((-1)/sqrt 10)* ((-1)/sqrt10))= sqrt (9/10)= 3/sqrt10.
6)S= 4*sqrt10*3/sqrt10= 4*3=12. The area is equal to 12.
find the missing side lengths
There are 4 buses for a field trip for 4th graders and each bus accommodates the same number of students. If there are 76 students going to a trip, how many are on each bus?
Answer:
19
Step-by-step explanation:
divide 76 by 4
I’ve been stuck on this for 3 days today is the last day please help me guys
y = x^2 - 2x - 3
Factored Form: y = (x - 3)(x + 1)
X-Intercepts: (3, 0) and (-1, 0)
Axis of Symmetry: x = 1
Vertex: (1, -4)
Domain: All Real Numbers (or negative infinity to infinity)
Range: y > -4
Hope this helps!
please help geometry surface area
Answer: 159
Step-by-step explanation:
We have to find the surface area of two triangles and 3 rectangles
To find the surface areas of the triangles, we use the formula: base x height / 2
6 x 5.5 / 2 = 16.5
Multiply that by 2 since there are 2 of them
16.5 x 2 = 33
To find the surface area of the rectangles, we multiply the length and width
7 x 6 = 42
Multiply that by 3 since there are 3 of them
42 x 3 = 126
Add up all the surface areas
126 + 33 = 159
Help anyone can help me do this question,I will mark brainlest.
Circumference of a circle = 2πr
So,
[tex]circumference = 2\pi \: r \\ = > circumference = 2 \times \frac{22}{7} \times \frac{63 \: cm}{2} \\ = > circumference = 2 \times \frac{11}{7} \times 63 \: cm \\ = > circumference = 2 \times 11 \times 9 \: cm \\ = > circumference = 198 \: cm[/tex]
Answer: Therefore, the circumference of circle is 198 cm.
Step-by-step explanation:
diameter = 63 cm
radius = 63/2 = 31.5 cm
circumference = ?
circumference or perimeter of circle = 2*pi*r
= 2*(22/7)*31.5
= (44/7)*31.5
= 198 cm
Put the following equation below in function notation and evaluate, using x as the independent
variable.
3x + 5y = 15; x=2
Answer:
1st option
Step-by-step explanation:
3×2+5y=15
5y=15-6
y=9/5
Answered by GAUTHMATH
someone please help!!
Answer:
f(-8) = 64
Step-by-step explanation:
Since x =-8, we need to use x^2 since -8 <0
(-8)^2 = 64
When x = -8 f(-8) = 64
Answer:
B
Step-by-step explanation:
There are 2 functions, one if x > 0 and one if x < 0
The x we are given is -8, and -8 is less than 0
Plug -8 into the function for if x < 0, which is x^2
(-8)^2=64
Which quadratic formula do I need to use to solve 2x(x+1.5)=-1
Answer:
x = - 1, x = - 0.5
Step-by-step explanation:
Given
2x(x + 1.5) = - 1 ← distribute parenthesis on left side
2x² + 3x = - 1 ( add 1 to both sides )
2x² + 3x + 1 = 0 ← in standard form
(2x + 1)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - 0.5
Fill in each box with the probability of the event that it represents. The following questions can be answered using your area model.
pleeeeaaseee help!!!!
Answer:
[tex]a. \ \dfrac{1}{36}[/tex]
[tex]b. \ \dfrac{4}{9}[/tex]
[tex]c. \ \dfrac{5}{6}[/tex]
Step-by-step explanation:
The given probabilities are; P(Orange) = 1/3, P(Blue) = 1/6, P(Purple) = 1/2
The probability of rolling any of the six numbers of the six-sided die = 1/6
a. The probability of simultaneously 'rolling a 3' and 'spinning blue', P(3 and Blue) is given as follows;
P(rolling a 3) = 1/6, P(Blue) = 1/6
∴ P(3 and Blue) = (1/6) × (1/6) = 1/36
P(3 and Blue) = 1/36
[tex]P(3 \ and \ Blue) = \dfrac{1}{36}[/tex]
b. The probability of either 'rolling a 1' or 'spinning Orange', P(1 or Orange), is given as follows;
P(rolling a 1) = 1/6, P(Orange) = 1/3
P(1 or Orange) = P(rolling a 1) + P(Orange) - P(1 and Orange)
Where;
P(1 and Orange) = (1/6) × (1/3) = 1/18
∴ P(1 or Orange) = 1/6 + 1/3 - 1/18 = 4/9
P(1 or Orange) = 4/9
[tex]P(1 \ or \ Orange) = \dfrac{4}{9}[/tex]
c. The probability of not spinning a blue, P(not Blue) is given as follows;
P(not Blue) = P(rolling all outcomes of the die) and (The sum of the spin probabilities - P(Blue)
∴ P(not Blue) = 1 × ((1/3 + 1/6 + 1/2) - 1/6) = 1 × (1 - 1/6) = 5/6
P(not Blue) = 5/6
[tex]P(not \ Blue) = \dfrac{5}{6}[/tex]
Can anyone help me with this pls :)