Answer:
Step-by-step explanation:
-8 - 7 - 16 - 14 + 2 = -43
Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 cannot be determined 1 2
Answer:
0
Step-by-step explanation:
For a quadratic of the form
ax² +bx +c = 0
The "discriminant" is the expression ...
b² -4ac
For this equation, we have a=1, b=5, c=7, so the discriminant is ...
5² -4·1·7 = -3
When the discriminant is negative there will be two distinct complex roots to the equation, and no real roots.
_____
When the discriminant is zero, there will be one real root with multiplicity 2; when it is positive, there will be two distinct real roots.
A square is cut in half on the diagonal, creating two equal triangles. each triangle has an area of 0.32 square units. what is the side length, in units, of the original square?
Answer:
0.8
Step-by-step explanation:
Let's say s is the side length of the square. When the square is cut diagonally, each triangle has a base of s and a height of s.
Area of a triangle is:
A = ½ bh
Given A = 0.32, b = s, and h = s:
0.32 = ½ (s)(s)
0.64 = s²
s = 0.8
The side length of the square is 0.8 units.
The side length, in units, of the original square is 0.8 units.
What is the side length?
A square is a two-dimensional shape that is made up of four equal sides. The diagonal is a straight line that divides the square into two right triangles.
The area of a triangle = 1/2 x base x height
0.32 = 1/2 x s²
0.32 x 2 = s²
0.64 = s²
s = √0.64
s = 0.8 units
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This graph shows Matt's progress as he walks in the direction of Grandma's house:
Nathan walks at a rate of 4 miles per hour. Who travels at a faster rate, Matt or Nathan? How do you know this?
Please explain the answer
Random answer gets reported.
Nathan is walking faster than Matt.
Step-by-step explanation:The graph shows that for every hour, Matt walks 3 miles, since it goes to the right 1 and up 3 over and over again. This means Matt's speed is 3 miles per hour.
4 miles per hour is greater than 3 miles per hour, so Nathan is walking at a faster speed.
Hamadi and Aisha solve this problem in two different ways. Carlos paid a total of $64 to rent a car. The rental company charges a one-time fee of $20, with an additional charge of $0.50 per mile driven. How many miles did Carlos drive the rental car? Use the drop-down menus to complete the sentences below.
Final answer:
To determine how many miles Carlos drove, we subtract the one-time rental fee from the total cost and then divide by the per-mile charge, resulting in Carlos having driven 88 miles.
Explanation:
To find out how many miles Carlos drove the rental car, we need to use the information about the total cost and the cost structure provided by the rental company. The total cost includes a one-time fee and a charge per mile driven. We can set up an equation to represent this situation. Let m represent the number of miles driven.
The equation based on the given costs would be:
20 + 0.50m = 64
Now, solve for m:
m = 88
Carlos drove 88 miles with the rental car.
Please help?? ASAP!!!???
Answer: 1.9
Step-by-step explanation:
[tex]f(x)=\dfrac{14}{7+2e^{-0.6x}}\\\\\\f(3)=\dfrac{14}{7+2e^{-0.6(3)}}\\\\\\.\qquad =\dfrac{14}{7+2e^{-1.8}}\\\\\\.\qquad =1.9\qquad \quad need\ to\ use\ a\ calculator\ after\ replacing\ x\ with\ 3[/tex]
Need help with math question
Answer:
B.
Step-by-step explanation:
The parabola opens to the right since the focus is to the right of the vertex. So the square part will definitely contain a y. By elimination the answers can't be A or C. The vertex is (2,3) so the answer is B.
Longer answer:
formula to use is (y-k)^2=4p(x-h) where the vertex is (h,k)
So (2,3) is our vertex so enter it in giving
(y-3)^2=4p(x-2)
p is 5 since 2 and 7 are 5 units apart
p is positive because again focus is right of vertex
the answer is
(y-3)^2=20(x-2)
Answer:
B
Step-by-step explanation:
Substitute a point in the equation:
(2,3)
(3 - 3)^2 = 20(2 - 2)
(3-3)^2 = 0
Which is True
You could also use y-y1=m(x-x1)
Jenny watched 27 movies that she thought were very good. She watched 45 movies over the whole year. Of the movies she watched, what percentage did she think were very good?
if we take 45 as the 100%, what is 27 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 45&100\\ 27&x \end{array}\implies \cfrac{45}{27}=\cfrac{100}{x}\implies \cfrac{5}{3}=\cfrac{100}{x} \\\\\\ 5x=300\implies c=\cfrac{300}{5}\implies c=60[/tex]
Answer:
if we take 45 as the 100%, what is 27 off of it in percentage?
Step-by-step explanation:
What is the equation of the parabola with focus (-1,-1) and directrix y=1?
Answer:
B
Step-by-step explanation:
Given focus as (h,k) and directrix as y = mx + b, the equation of a parabola is given as:
[tex]\frac{(y - mx - b)^2}{m^2 +1}=(x - h)^2 + (y - k)^2[/tex]
Hence, from the given focus & directrix, we have:
h = -1
k = -1
m = 0
b = 1
We can plug them into the formula and arrange to get:
[tex]\frac{(y - mx - b)^2}{m^2 +1}=(x - h)^2 + (y - k)^2\\\frac{(y - (0)x - 1)^2}{0^2 +1}=(x - (-1))^2 + (y - (-1))^2\\\frac{(y-1)^2}{1}=(x+1)^2+(y+1)^2\\y^2-2y+1=x^2+2x+1+y^2+2y+1\\-2y-2y=x^2+2x+1\\-4y=x^2+2x+1\\y=-\frac{1}{4}x^2-\frac{1}{2}x-\frac{1}{4}[/tex]
B is the correct answer.
C’E’D is a dilation imagine of CED. Which is the correct description of the dilation
Answer:
An enlargement with scale factor 2
Step-by-step explanation:
C’E’D is a dilation imagine of CED
It's enlargement so scale factor must be greater than 1
SF = 4/2 = 2
Answer
An enlargement with scale factor 2
An enlargement with scale factor 2
What is dilation?A dilation in mathematics is a function f from a metric space M into itself that, for any locations x, y in M, fulfills the identity d=rd, where d is the distance between x and y and r is some positive real number. Such a dilatation is a resemblance of the space in Euclidean space.
Given
C’E’D is a dilation imagine of CED
It's enlargement so scale factor must be greater than 1
SF = 4/2 = 2
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Which quadratic equation models the situation
correctly?
y = 27(x – 7)2 + 105
y = 27(x - 105)2 +7
y = 0.0018(x – 7)2 + 105
y = 0.0018(x - 105)2 + 7
Answer:
y = 0.0018(x -105)² +7
Step-by-step explanation:
The vertex of the function is at (x, y) = (105, 7), so the equation will be of the form ...
y = a(x -105)² +7
We can use x=0 to find the value of "a". At x=0, y=27, so ...
27 = a(0 -105)² +7
20 = 11025a
20/11025 = a ≈ 0.0018
So, the model is ...
y = 0.0018(x -105)² +7
Answer:
d
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve and type in a different form by using the given theorems of logarithms.
Answer:
log₁₀(M) + log₁₀(N)
Step-by-step explanation:
The rules of logarithms tell you ...
log(ab) = log(a) +log(b) . . . . . base of logarithms the same in each case
When your log is log₁₀ and a=M and b=N, this becomes ...
log₁₀(MN) = log₁₀(M) + log₁₀(N)
_____
Some functions are not always written with their arguments in parentheses. I believe it avoids ambiguity to put function arguments in parentheses, so I have done that here. It appears your answer form may want you to write ...
log₁₀M+log₁₀N . . . . . I don't recommend this form
I have a math final tomorrow and I don’t know how to do this. Someone please help!
What’s the answer?????
You are given that all three sides of both the triangles are "approximately equal"
This means the answer is D. SSS (Side-Side-Side)
It can't be A. because S-A-S means side-angle-side and these are not the "givens"
It can't be B. because A-S-A means angle-side-angle and these are not the "givens"
It can't be C. because A-A-A means angle-angle-angle and these are not the "givens"
Hope this helped!
~Just a girl in love with Shawn Mendes
How do you know that this function is odd or even? { (1,2),(4,7),(-1,2),(0,4),(-4,7)}
Answer:
The function is even.
Step-by-step explanation:
Compare it to the definition of an odd function or an even function.
Odd function: if (x, y) is in the relation, then (-x, -y) is also in the relation. (The function is symmetrical about the origin.)
Even function: if (x, y) is in the relation, then (-x, y) is also in the relation. (The function is symmetrical about the y-axis.)
__
The first point listed is (1, 2). If this function is odd, we expect to find (-1, -2). There is none such.
If this function is even, we expect to find (-1, 2). That is the third point listed, so it is possible this function is even. Comparing the other points to their even-function counterparts shows all of them match the definition of an even function.
The graph of which equation includes the points (0, 10) and (10, 11)?
y = 10x + 11
y = x + 10
y= 1/10x + 10
y = 1/10x + 11
Answer:
y=1/10x +10
Step-by-step explanation:
when we replace the x in this equation with numbers representing x in the points given, we are going to end up with the points that represents y in the question.
Answer:
C. [tex]y=\frac{x}{10} +10[/tex]
Step-by-step explanation:
Here we are given two points from which the line passes through . hence we use the two point form to evaluate the equation of line.
The two points are
(0,10) and (10,11)
the two point formula is
[tex]\frac{y-y1}{x-x1} = \frac{y2-y1}{x2-x1}[/tex]
Here x1=0, x2=10, y1=10, y2=11
Now we keep these values in the two point form formula given above
[tex]\frac{y-10}{x-0} = \frac{11-10}{10-0}\\\frac{y-10}{x} = \frac{1}{10}\\y-10=\frac{x}{10}\\y=\frac{x}{10}+10[/tex]
Hence our third option is correct.
PLS HELP BRAINLIEST
Answer:
a) AB = 17 m
b) AC = 20.8 m
Step-by-step explanation:
Pythagorean theorem
a^2 + b^2 = c^2
a)
AB^2 = (26-11)^2 + 8^2
AB^2 = 15^2 + 8^2
AB^2 = 225 + 64
AB^2 = 289
AB = 17 m
b)
AC^2 = AB^2 + BC^2
AC^2 = 17^2 + 12^2
AC^2 =289 + 144
AC^2 = 433
AC = 20.8 m
find the exact value of sin 165° by using a sum or difference formula
Answer: (√2 - √6)/4
Step-by-step explanation:
I am going to use the sum formula: sin(A + B) = sin A cos B + cos A sin B
Let's say A = 135° and B = 30°
sin(135° + 30°) = sin(135°) * cos(30°) + cos (135°) * sin(30°)
= (√2)/2 * 1/2 + (-√2)/2 * (√3)/2
= (√2)/4 + (-√6)/4
= (√2 - √6)/4
. Which of the following is a rational expression?
1/x
3x-4
x^2+x
x/2
Answer:
1/x
Step-by-step explanation:
1/x is rational because the x is in the denominator of the fraction. x/2 could be rewritten as (1/2)x, which is linear.
Translate and simplify: the difference of -5 and -30
Answer:
they are the same . If u add (-5) + (-30) that will be equal to (-35)
Answer:
25
Step-by-step explanation:
1) -5-(-30)
2) -5+30
3) 25
Please help me. I need help asap!
Answer:
Step-by-step explanation:
They want you to translate N^3 into another form that would still be correct.
log N^3 = 3 * log N is the answer that I think you want. Try it it.
Suppose N = 6
Then N^3 = 6*6*6 = 216
log 216 = 2.3345
Now try it the other way.
3*log(6) = 3*0.7782
3*log(6) = 2.3345
Same answer as before.
Ten cars were in a race.Two cars did not finish.How would you find the number of cars that did finish
Answer:
Step-by-step explanation:
10-2= the number of cars that finished
If x = -2 and y = 12, thеn 2(3х3 + 2у2) =
ОАО
о в 12
о с 48
ооо
oo 96
Answer: [tex]=528[/tex]
Step-by-step explanation:
You have this expression:
[tex]2(3x^3 + 2y^2)[/tex]
You already know that the value of the variable "x" is:
[tex]x=-2[/tex]
And the value of the variable "y" is:
[tex]y=12[/tex]
Therefore, you can substitute the value of the variable "x" and the value of the variable "y" into the expression.
Then you get:
[tex]2(3(-2)^3 + 2(12)^2)=2(-24+288)=2(264)=528[/tex]
Answer:
528
Step-by-step explanation:
2(3х³ + 2у²)
Where x = -2 and y = 12 which means whenever you sees x, put -2 in replacement and y put 12
So we solve;
2(3x³ + 2y²), x = -2, y = 12
2[3(-2)³ + 2(12)²]
2[3(-8) + 2(144)]
2[-24 + 288]
open the bracket by multiplying by 2
-48 + 576
combine
528
True or false? Based only on the given information, it is guaranteed that AD= CD
Answer:
True
Step-by-step explanation:
Based on Angle-Angle-Side, you would have two congruent triangles and those two sides are equal/congruent.
It is true, from the given information only we can say that AD = CD.
What is Congruency?In geometry, two figures or objects are congruent if their shape and size are same.
What is AAS criterion of Congruency?If two angles and a side which does not come between these two angles is congruent with two angles and a side which does not come between these two of another triangle, then the triangles are said to be congruent by AAS criterion.
In the given question
∠ABD = ∠CBD ( Given)
∠BAD = ∠BCD (Right angles)
BD = DB (Common side of both triangles)
Δ ABD ≅ Δ CBD (AAS criterion)
The two triangles are congruent hence AD = CD.
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The Gonzales family drove 300 miles on the first day of their vacation and 250 on each day after that. If d represents the number of days they drove after the first day, which expression gives the total distance driven?
250d + 300
250 + 300d
250 + d + 300
Answer:
250d + 300
Step-by-step explanation:
Twenty different statistics students are randomly selected. For each of them, their body temperature (degreesC) is measured and their head circumference (cm) is measured. If it is found that requals0, does that indicate that there is no association between these two variables? Choose the correct answer below. A. No, because if requals0, the variables are in a perfect linear relationship. B. No, because while there is no linear correlation, there may be a relationship that is not linear. C. No, because r does not measure the strength of the relationship, only its direction. D. Yes, because if requals0, the variables are completely unrelated.
The correlation coefficient 'r' equals 0 indicates that there is no linear relationship between two variables. However, there could be a non-linear relationship present that is not captured by 'r'. Therefore, one should also consider other statistical tests or data visualization methods to fully understand the relationship between variables.
Explanation:When a correlation coefficient, or 'r', equals 0, it conveys that there is no linear correlation between the two observed variables. However, this does not necessarily mean that the two variables are entirely unassociated. The correct answer to the student's question is B: No, because while there is no linear correlation, there may be a relationship that is not linear.
This means that in the context of the problem, just because 'r' equals 0 between student's body temperature and head circumference, it doesn't conclude there is no relationship between these two variables. There could be a non-linear or curve relationship present, which cannot be determined by the correlation coefficient.
Remember, the correlation coefficient 'r' only measures the strength and direction of a linear relationship between two variables. It doesn't help in determining non-linear relationships. Therefore, it's important to also consider other statistical tests or visual data assessment methods when analyzing associations between variables.
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Theo started to solve the quadratic equation (x + 2)2 – 9 = –5. He added 9 to both sides and the resulting equation was (x + 2)2 = 4. Next, he took the square root of each side. Which was the resulting equation of that step?
Answer:
[tex]x+2=\pm2[/tex]
Step-by-step explanation:
He started with [tex](x+2)^2-9=-5[/tex].
He add 9 to both sides and the resulting equation was
[tex](x+2)^2=4[/tex]
Next, he took the square root of each side.
The resulting equation of this step is:
[tex](x+2)=\pm \sqrt{4}[/tex]
[tex]x+2=\pm2[/tex]
The required equation is:
[tex]x+2=\pm2[/tex]
Answer:x + 2 = ±2
Step-by-step explanation:
on edge
BRAINLIEST !!!!!which of the coordinates are not of th vertices of the feasible region for the system of inequalities
y≤4,,x≤5,x+y>6
a(2,4)
b(0,6)
c(5,4)
d(5,1)
Answer:
C (5,4)
Step-by-step explanation:
if we know that y cannot be greater then for by looking at the first inequality then we can eliminate B. The second inequality does not further eliminate anything and the only option that is left that also corresponds to the third inequality is c because 5+4>6, 9 >6
hope this helps and please mark brainliest :)
Suppose you were a sales representative for the video and wanted to convince stores to stock more copies. Which graph would you use? Why?
a.
Graph B, because it indicates a more marked increase in sales.
b.
Graph A, because it indicates how many viewers had better results with the video.
c.
Graph A, because it indicates a more marked increase in sales.
d.
Graph B, because it indicates how many viewers earned a million.
in a certain pentagon, the interior angles are a,b,c,d,e where a,b,c,d,e are integers strictly less than 180. ("Strictly less than 180" means they are "less than and not equal to" 180.) If the median of the interior angles is 61 and there is only one mode, then what are the degree measures of all five angles?
Answer:
least to greatest: {61, 61, 61, 178, 179}
Step-by-step explanation:
If the third-largest angle is 61°, the smallest three angles cannot be larger than 183°. Since the total of all angles must be 540°, and the total of the largest two cannot be greater than 179°×2 = 358°, the sum of the smallest three must be at least 540° -358° = 182°.
So, the possible sets of angles with the smallest 3 totaling 182° or 183° are (in degrees) ...
{60, 61, 61, 179, 179} . . . . two modes
(61, 61, 61, 178, 179} . . . . . one mode -- the set you're looking for
Answer:
61,61,61,178,179
Step-by-step explanation:
your welcome. :)
Convert 50 kilogram to pounds. (The conversion factor from kilogram to pound is 2.2046.) A. 52.2 lb. B. 110.2 lb. C. 22.6 lb. D. 47.8 lb.
Answer: (B) = 110.2
50*2.2046 = 110.23