Select the correct answer. How did the Battle of Saratoga affect the American Revolution? A. French troops joined the war on behalf of the colonists. B. The Hessian mercenaries were eliminated from the war. C. Continental soldiers were bribed to compromise the war. D. Washington withdrew from the war after another loss. E. About 10,000 Continental soldiers became prisoners of war.
Answer:
A. French troops joined the war on behalf of the colonists.
Step-by-step explanation:
The Battle of Saratoga is often seen as the turning point of the war. It renewed the morale of the American public and convinced potential foreign partners, such as France, that America could win the war and that it might be in their best interests to send aid.
Answer:
Its A
Step-by-step explanation:
how do you this problem?
Answer:
8
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
7x+13= 90 should be your equation.
when you solve you should have:
7x+13=90 but you want to start to solve so the first step would be to subract 13 from both sides because your adding 13 you wanna do the opposite of that and the opposite of addition is subtraction.
7x=77 now you wanna divide 7 from both sides
x=11
Suppose the sample space for a continuous random variable is 0 to 100. If the area under the density curve for the variable from 0 to 20 is 0.15, what is the area under the density curve from 20 to 100?
The solution is, 0.85 is the area under the density curve from 20 to 100.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
given that,
Suppose the sample space for a continuous random variable is 0 to 100. If the area under the density curve for the variable from 0 to 20 is 0.15
The area under the density curves for the continuous random variables always add up to unity.
Thus, the area under the density curve from 20 to 100 is ;
1 - 0.15
which is;
1 - 0.15
= 0.85
Hence, The solution is, 0.85 is the area under the density curve from 20 to 100.
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A projectile is thrown upward off a 130ft cliff at a velocity of 15ft/second. How long before it reaches a height of 25ft?
Answer:
The time taken for the projectile to reach the given height is 1.2 s.
Step-by-step explanation:
Given;
height of travel, h = 25 ft
initial velocity of the projectile, u = 15 ft/s
The time taken for the projectile to travel a height of 25 ft is given by the following kinematic equation;
h = ut + ¹/₂gt²
25 = 15t + ¹/₂(9.8)t²
25 = 15t + 4.9t²
4.9t² + 15t - 25 = 0
solving the quadratic equation, we will have the following solution of t;
t = 1.2 s
Therefore, the time taken for the projectile to reach the given height is 1.2 s.
In acute triangle $ABC$, points $D$, $E$, and $F$ are located on sides $\overline{BC}$, $\overline{AC}$, and $\overline{AB}$ so that $\overline{AD} \perp \overline{BC}$, $\overline{DE} \perp \overline{AC}$, and $\overline{DF} \perp \overline{AB}$. Let $R_1$ and $R_2$ be the radii of the circles around $\triangle ABC$ and $\triangle AEF$, respectively. Determine the number of degrees in the measure of $\angle A$ if the area of $\triangle ABC$ is equal to $R_1R_2$.
Answer:
////////A.
Step-by-step explanation://///////
I think
How many 1 cm^2 tiles are required to fill the boundary of a rectangle with area 32 cm^2?
Answer:
32
Step-by-step explanation:
Area of the rectangular tiles = 32cm²
Area of tiles inside the rectangle = 1m²
Number of tiles inside the triangle = area of rectangle/area if the tikes inside the rectangle= 32cm²/1cm² = 32
Hence 32 1cm² tiles can fill the boundary of the rectangle.
A contractor brought 10.8 ft^2 of sheet metal. She has used 3.7 ft^2 so far and has $127.80 worth of sheet metal remaining. The equation 10.8x-3.7x=127.8 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answer:
[tex]\$18[/tex]
Step-by-step explanation:
Let the cost of sheet metal per square feet be [tex]x[/tex]
Amount of sheet metal bought is [tex]10.8\ \text{ft}^2[/tex]
Amount of sheet metal used is [tex]3.7\ \text{ft}^2[/tex]
Remaining value of the sheet metal is [tex]\$127.8[/tex]
So we get the equation
[tex]10.8x-3.7x=127.8\\\Rightarrow 7.1x=127.8\\\Rightarrow x=\dfrac{127.8}{7.1}\\\Rightarrow x=18[/tex]
So, cost of sheet metal per square feet is [tex]\$18[/tex].
Use fraction bars and the rules of dividing signed numbers to divide.
Negative StartFraction 15 over 5 EndFraction divided by three-fifths
d. -5 .............................................................
The required solution for the given expression is -5.
Given that, using the fraction bars and the rules of dividing signed numbers to divide. Negative StartFraction 15 over 5 EndFraction divided by three-fifths.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
According to the question
= -15/5÷3/5
= -15 / 5 × 5 / 3
= -15 / 3
= -5
Thus, the required solution for the given expression is -5.
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given f(x) = 4+1 , describe how the graph of g compares with compares with the graph of f?
I think you wrote an incomplete question. With a little research, I was able to find a question similar to you which is attached below. So, I would solve your question based on the question attached below, which anyways would clear your concept.
Answer:
[tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] translated left [tex]3[/tex] units. Also, the comparison graph is attached below.
Step-by-step explanation:
Considering the complete question attached below
Given the function
[tex]f\left(x\right)\:=\:4x+1[/tex]
As for [tex]g(x)=f(x-h)[/tex], the graph of [tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] translated right h units when '[tex]h[/tex]' is greater than zero, and left | [tex]h[/tex] | units when h is lesser than zero.
so it is clear if
[tex]g(x)=4(x+3)+1[/tex] and [tex]f\left(x\right)\:=\:4x+1[/tex], then [tex]g(x) = f(x+3)[/tex].
Hence, [tex]h = -4[/tex] ( lesser than zero i.e. h < 0).
Therefore, [tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] translated left [tex]3[/tex] units. Also, the comparison graph is attached below.
Find the m *With work*
Answer:
MNI = 135º
Step-by-step explanation:
From the picture, we have the two internal angles as [tex]6x[/tex] and [tex]15x-12[/tex]. The third, the angle ∠MNL is 180 - 19x-2. Therefore,
[tex]15x-12+6x+(180-19x-2)=180[/tex]
So,
[tex]15x-12+6x+180-19x-2=180[/tex]
[tex]15x-14+6x-19x=0[/tex]
[tex]2x=14[/tex]
[tex]x=7[/tex]
Finally,
∠MNI = 19x+2 ⇒ ∠MNI = 19(7)+2 ⇒ ∠MNI = 135º
The value of the variable 'x' is 7. Then the measure of the angle ∠MNI will be 131°.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.
Then the equation is given as,
∠NLM + ∠LMN = ∠MNI
6x + 15x - 12 = 19x + 2
2x = 14
x = 7
Then the measure of the angle ∠MNI is calculated as,
∠MNI = 19 (7) - 2
∠MNI = 133 - 2
∠MNI = 131°
The value of the variable 'x' is 7. Then the measure of the angle ∠MNI will be 131°.
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Find the Slope of the Line
Answer:
I think it is five but I cannot see all the lines too well so I don't know
Answer:
the slope is 5
Step-by-step explanation:
50/10 = 5
y= 5x
PLZ HELP ME AND ANSWER RN PLZ PLZ PLZ!
pizza costs 14 dollars each how many pizza can you buy with 60 dollars
Answer:
3
Step-by-step explanation:
because i am smart
Answer:
4
Step-by-step explanation:
the quoteint is 4 and the remainder is 4
you can buy 4 pizzas
Please help with these questions!!:))
Answer:
The first one : decay
The second one : growth
When the argument of the exponential expression is bigger that 1 then it represents a growth
When it's less than 1 and above 0 then it's a decay
Help plz will get brainliest
Answer:
4 i think but im having mixed feelings
Step-by-step explanation:
6*60=360
360/9=4
Jared has $500 in his checking account. He spent $180 on his light bill. What percent of his money is spent on his light bill?
Answer:
36%
Step-by-step explanation:
180/500=36
Hope this helped!
Is this right??????????????
Answer:
yes it is correct -2x=10
what is the distance between the points (0,-7) and (0, -1)
Answer:
(0,6) is the answer.................
Answer: 6 but also (0,6)
Step-by-step explanation:
In the X-axis : 0, 0 the difference is 0
In the Y-axis : -7, -1 the difference is 6
Because -7+6= -1
I give anwser keys to any kind of questions just comment below so I can help you
need an answer please asap!
Answer:
Step-by-step explanation:
(A). The quadrilateral ABCD is a trapezoid.
(B). A = 36 units²
Four posts with 3-in. radii are bound together with a wire. Find the length of the shortest wire that will go around them.
A. 42.85 inches
B. 36.22 inches
C. 12.94 inches
D. 24.45 inches
Thomas Jefferson borrowed an idea from John Locke that he used in the Declaration of Independence. What did Jefferson call this idea?
A. executive branch
B. peoples rights
C. natural rights
D. unalienable rights
Answer:
The answer to your question is D.unalienable rights.
Step-by-step explanation:
He borrowed this idea from John Locke, a political philosopher of the Enlightenment. Locke said people were given certain "natural rights" which were life, liberty, and property. So, to clarify, Jefferson called this idea "unalienable rights".
Answer:
I believe it is D) unalienable rights
Step-by-step explanation:
The graph of a function g is shown below.
Find its inverse.
A.)g-1( x) =2/5 x + 5
B.)g-1( x) =5/2 x + 2
C.)g-1( x) = - 2/5x + 2
D.)g-1( x) =5/2 x + 5
Answer:
D
Step-by-step explanation:
the slope =
[tex] \frac{0 - ( - 2)}{5 - 0} = \frac{2}{5} [/tex]
y =mx+b
m = slope
when x = 0 , y = -2
y =(2x/5)-2
x =(2y/5)-2
x+2 = (2y/5)
5x+10 = 2y
y =(5x/2)+5 = g-1(x)
Solve the following inequality -3m + 18 < 30
Answer:
m>-4
Step-by-step explanation:
brooke found the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form as follows
Answer:
The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is [tex]\mathbf{y=-4x-3}[/tex]
Step-by-step explanation:
Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.
The general equation of slope-intercept form is: [tex]y=mx+b[/tex]
First we need to find slope
The formula used for finding slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given: [tex]x_1=-7, y_1=25, x_2=-4, y_2=13[/tex]
Putting values in formula and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{13-25}{-4-(-7)}\\Slope=\frac{13-25}{-4+7}\\Slope=\frac{-12}{3}\\Slope=-4[/tex]
So, slope m= -4
Now finding y-intercept
Using slope m=-4 and point (-7,25) we can find y-intercept
[tex]y=mx+b\\25=-4(-7)+b\\25=28+b\\b=25-28\\b=-3[/tex]
So, y-intercept b =-3
Now, the equation of required line having slope m=-4 and y-intercept b=-3 is:
[tex]y=mx+b\\y=-4x-3[/tex]
So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is [tex]\mathbf{y=-4x-3}[/tex]
(Please this is URGENT!) On a computer screen, Jennifer just created a triangular design of a banner with vertices at A(-4,3), B(-1,5) and C(-1,2). She can use the computer software to perform transformations on this design.
Which sequence of two transformations could she perform so that the transformed vertices become A'(4,-5), B'(7,-7), and C'(7,-4)?
a. translating 6 units down, followed by translating 8 units to the right
b. reflecting about the line y = -2, followed by translating 8 units to the right
c. reflecting about the line y = -1, followed by reflecting about the y-axis
d. reflecting about the line y = -1, followed by translating 8 units to the right
Answer:
The correct option is;
d. Reflecting about the line y = -1, followed by translating 8 units to the right
Step-by-step explanation:
The coordinates of the vertices of the banner Jane created = A(-4, 3), B(-1, 5) and C(-1, 2)
By reflecting across the line y = -1, we get
A(-4, 3) by reflection across the line y = -1 gives A(-4, -5)
B(-1, 5) by reflection across the line y = -1 gives B(-1, -7)
C(-1, 2) by reflection across the line y = -1 gives C(-1, -4)
By translating 8 units to the right get
A(-4, 3) by translation 8 units right gives A prime (4, -5)
B(-1, 5) by translation 8 units right gives B prime (7, -7)
C(-1, 2) by translation 8 units right gives C prime (7, -4)
Therefore, the two transformation that she could perform so that the transformed vertices become A prime (4, -5), B prime (7, -7), and C prime (7, -4) are;
1) Reflection across the line y = -1
2) An horizontal translation 8 units to the right get.
Transformation involves changing the size and position of a shape.
The sequence of two transformations are: (d). reflecting about the line y = -1, followed by translating 8 units to the right
The coordinates of ABC are given as:
[tex]\mathbf{A =(-4,3)}[/tex]
[tex]\mathbf{B =(-1,5)}[/tex]
[tex]\mathbf{C =(-1,2)}[/tex]
First, the coordinates of ABC are reflected across the line [tex]\mathbf{y =-1}[/tex]
The transformation rule is:
[tex]\mathbf{(x,y) \to (x,-y -2 \times 1)}[/tex]
So, we have:
[tex]\mathbf{A' = (-4,-3 -2 \times 1)}[/tex]
[tex]\mathbf{A' = (-4,-5)}[/tex]
[tex]\mathbf{B' =(-1,-5 - 2 \times 1)}[/tex]
[tex]\mathbf{B' =(-1,-7)}[/tex]
[tex]\mathbf{C' =(-1,-2 -2 \times 1)}[/tex]
[tex]\mathbf{C' =(-1,-4)}[/tex]
Next, the shape is translated 8 units right.
The rule of this transformation is:
[tex]\mathbf{(x,y) \to (x + 8, y)}[/tex]
So, we have:
[tex]\mathbf{A" = (-4 + 8, -5)}[/tex]
[tex]\mathbf{A" = (4, -5)}[/tex]
[tex]\mathbf{B" =(-1+8,-7)}[/tex]
[tex]\mathbf{B" =(7,-7)}[/tex]
[tex]\mathbf{C" =(-1+8,-4)}[/tex]
[tex]\mathbf{C" =(7,-4)}[/tex]
Hence, the sequence of two transformations are:
(d). reflecting about the line y = -1, followed by translating 8 units to the right
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When you flip a biased coin the probability of getting a tail is 0.35.
Find the probability of getting a head.
Answer:
0.65
Step-by-step explanation:
a coin has 2 sides so there is two outcomes
1-0.35=0.65
Please help if you can!!
Answer:
12.5
Step-by-step explanation:
which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?
[tex]5x^{2} + x ^{2} - 7x + 28[/tex]
The equation that indicates the number of real solution in the polynomial is presented as follows;
[tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0[/tex]
What is a polynomial?A polynomial is an expression that has two or more algebraic terms of the same variables that have different powers.
The specified expression is presented as follows;
5·x³ + x² - 7·x + 28
The polynomial equation can be factored using a graphing calculator to get;
5·x³ + x² - 7·x + 28 = [tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5[/tex]
When the expression is equated to 0, we get;
[tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0[/tex]...(1)
The discriminant of the expression [tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)[/tex] is less than 0, therefore, the expression [tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)[/tex] has no solution
The real solutions found from equation (1) is therefore;
[tex]x=-\dfrac{15933}{7535}[/tex]
There is therefore one solution to the expression
The equation that expresses the number of solutions is therefore;
[tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0[/tex]
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what is the indication of having a zero remainder? what happen if the remainder is zero?
Answer:
If the remainder happens to be zero, this means that you can divide the dividend exactly by the divisor. Therefore, this indicates that the divisor and the quotient are both factors of the dividend
Step-by-step explanation: