Answer:
Option C.
Step-by-step explanation:
The standard form of a quadratic function is
[tex]ax^2+bx+c=0[/tex] ... (i)
The given equation is
[tex]0=5x-4x^2-2[/tex]
It can be rewritten as
[tex]-4x^2+5x-2=0[/tex] ... (ii)
On comparing (i) and (ii), we get
[tex]a=-4,b=5,c=-2[/tex]
Hence, the correct option is C.
Answer:
a=-4, b = 5, c = -2
Step-by-step explanation:
find the value of x in the triangle, 60°, 60°, 5x
The value of x in the expression for the angle of the triangle is 12.
What is the value of x in the triangle?The figure in the image is a triangle.
From the image:
Angle 1 = 5x
Angle 2 = 60 degrees
Angle 3 = 60 degrees
Note that, the sum of the interior angle of a triangle equals 180 degrees.
To determine the value of x, add the 3 angles and equate to 180 degrees.
Hence:
5x + 60 + 60 = 180
Collect and add like terms:
5x + 120 = 180
Subtract 120 from both sides:
5x + 120 - 120 = 180 - 120
5x = 180 - 120
5x = 60
x = 60/5
x = 12
Therefore, x has a value of 12.
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Mr.Wells tells his class of 24 that when they have compleyed the assignment they may play online math games.At the end of class, 40% of the class is playing online math games. Approximately how many students still need to complete their assignment.
Answer:
14
Step-by-step explanation:
Because 40% of the class is playing games, that means (100-40)% aren't playing, meaning that those 60% haven't finished the assignment.
We find 60% of the total 24 students, and that is .6 * 24 = 14.4
Because you can't have .4 people, the answer rounds (down ) to 14
Answer:
14 Students.
Step-by-step explanation:
40% of 24 is 9.6 (Which should be approximated to 10). 24 Students in total - Approximately 10 who have completed the assignment is 14 students who still need to complete the assignment.
PLEASE HELPPP !!!!!!!!!!!
Answer:
42
Step-by-step explanation:
If anyone sees this question can you please answer it correctly, and thank you if you do
Answer:
8 units like the top person says
Help please . Lost .
Hope this will help u...
Lena buys 12 cans of soft drinks and 11 sandwiches for a picnic. Patrick buys 10 cans of soft drinks and 7 sandwiches for the same picnic. Let c be the cost of a soft drink. Let s be the cost of a sandwich. Write an expression that represents the total cost.
Answer:
22c + 18s
Step-by-step explanation:
Lena buys:
12c + 11s
Patrick buys;
10c + 7s
Total cost is the sum of the both Lena and Patrick's purchase
12c + 11s + 10c + 7s
collect like terms
12c +10c + 11s + 7s
22c + 18s
Which are side lengths of quadrilateral PQRS? Check
all that apply.
PIO, 4)
Q(2, 4)
4 units
5 units
6 units
/13 units
4/2 units
Answer: 2 , 3 , & 4 are correct .
Annita is sewing a lace edge around a rectangular quilt. She will need 150 inches of lace to do the entire quilt. If the quiltis 42
inches wide, how long is the quilt?
A. 75 inches
B. 66 inches
C. 31 inches
D. 33 inches
With a total perimeter of 150 inches and a width of 42 inches, the length was calculated to be 33 inches, option D.
To determine how long the quilt is, we need to calculate the perimeter of the rectangular quilt and then solve for the missing length. Since Annita needs 150 inches of lace, we know this is the total perimeter (P) of the quilt. The quilt is 42 inches wide. The formula for the perimeter of a rectangle is P = 2(length) + 2(width). We can set up the equation as 150 = 2(length) + 2(42).
Now let's solve for the length (L):
150 = 2L + 84 (since 2(42) is 84)150 - 84 = 2L66 = 2LL = 33 inchesThe length of the quilt is 33 inches, which corresponds to option D.
The length of the quilt is 33 inches.
The correct option is (D).
To find the length of the quilt, we need to use the formula for the perimeter of a rectangle, which is given by:
[tex]\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \][/tex]
Given that the width of the quilt is 42 inches and Annita needs 150 inches of lace to go around the entire quilt, we can set up the equation as:
[tex]\[ 150 = 2 \times (\text{Length} + 42) \][/tex]
Now, let's solve for the length [tex](\( \text{Length} \)):[/tex]
[tex]\[ 150 = 2 \times (\text{Length} + 42) \][/tex]
[tex]\[ 75 = \text{Length} + 42 \][/tex]
Subtract 42 from both sides:
[tex]\[ 75 - 42 = \text{Length} \][/tex]
[tex]\[ \text{Length} = 33 \][/tex]
So, the length of the quilt is 33 inches. Therefore, the answer is option D. 33 inches.
A certain insecticide kills 60% 60 % of all insects in laboratory experiments. A sample of 7 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 4 insects will survive? Round your answer to four decimal places.
Answer: The probability that exactly 4 insects will survive = 0.2903.
Step-by-step explanation:
Given : The proportion of all insects in laboratory experiments killed by insecticide = 60%=0.60
Since , by using insecticide only two outcomes are possible either it kills or not kills , so we can use binomial.
Sample size of insects = 7
By using binomial probability formula : [tex]P(x)=^nC_xp^x(1-p)^{n-x}[/tex], where x is binomial variable , n = sample size and p is the probability of getting success.
Let x be the number of insects survived.
As per given , we have
n=7 , p=0.60
Now , the probability that exactly 4 insects will survive :
[tex]P(x=4)= ^7C_4(0.60)^4(1-0.60)^3\\\\=\dfrac{7!}{4!3!}(0.60)^4(0.40)^3\\\\= 35\times 0.1296\times 0.064 \\\\=0.290304\approx0.2903[/tex]
Hence, the probability that exactly 4 insects will survive = 0.2903
Plz help if u understand!?
Answer:
38.01
Step-by-step explanation:
Mrs. Alexander wants to make a rectangular quilt that will have an area of 80 square feet So far, she has made 16
squares for the quilt each 2 feet long and 2 feet wide. Does she have enough squares to complete the quilt?
No, she doesn't have enough square to complete the quilt. Mrs. Alexander need 4 more squares to complete the rectangular quilt, that will have an area of 80 square feet. 20 square required to make quilt.
Step-by-step explanation:
The given is,
Area of an rectangular quilt - 80 square feet
She made 16 squares
Square have 2 feet long and 2 feet wide
Step:1
Area of rectangular quilt = 80 square feet
Area of 16 squares = 16 × Area of square..................(1)
Formula for area of square,
[tex]A = a^{2}[/tex]................................(2)
Where, a - Sides of square
a = Length = Wide
From given,
a = 2 feet
Equation (2) becomes,
[tex]A = 2^{2}[/tex]
A = 4 square feet
Equation (1) becomes,
Area of 16 squares = 16 × 4
= 64 square meters
Area of rectangular quilt ≠ Area of 16 squares
80 ≠ 64
Area of square is less compare to area rectangular quilt, so we need more square,
Required amount of square area = 80 - 64
= 16 square feet
Required amount of squares = [tex]\frac{16}{4}[/tex]
= 4 squares
Total(16+4) square areas = 20 × 4 = 80 square feet
Area of rectangular quilt = Area of 20 squares
80 square feet = 80 square feet
Result:
No, she doesn't have enough square to complete the quilt. Mrs. Alexander need 4 more squares to complete the rectangular quilt, that will have an area of 80 square feet. 20 square required to make quilt.
The heights of 1000 students at a local school were recorded and found to be approximated by the normal curve below. Which answer could represent the mean and standard deviation for these data ?
Answer:
The mean of the distribution of heights of students at a local school is 63 inches and the standard deviation is 4 inches.
Step-by-step explanation:
The normal curve approximating the distribution of the heights of 1000 students at a local school is shown below.
For a normal curve, the mean, median and mode are the same and represents the center of the distribution.
The center of the normal curve below is at the height 63 inches.
Thus, the mean of the distribution of heights of students at a local school is 63 inches.
The standard deviation represents the spread or dispersion of the data.
From the normal curve it can be seen that values are equally distributed, i.e. the difference between two values is of 4 inches.
So, the standard deviation is 4 inches.
ANSWER my question IF YOU WANT TO HAVE BRANIEST
In a certain triangle, two of the sides have measures of 13 and 20. If the triangle is isosceles, then which of the following could be the measure of the third side?
1) 7
2) 33
3) 40
4) 13
Answer:
4)13
Step-by-step explanation:
In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.
write the quadratic question whose roots are 1 and 6, and whose leading coefficient is 4
Answer:
[tex] 4 {x}^{2} - 28x + 24[/tex]
Step-by-step explanation:
Roots of the quadratic equation are 1 and 6
Therefore, (x - 1) & (x - 6) are factors.
Leading coefficient is: 4
Required quadratic equation is given as:
[tex]4(x - 1)(x - 6) \\ = 4( {x}^{2} - 6x - x + 6) \\ = 4( {x}^{2} - 7x + 6) \\ = 4 {x}^{2} - 28x + 24[/tex]
A hockey player takes a shot with a 15 degree angle of elevation 24 ft away from the goal and hits the cross bar. How tall is the goal. Round to the nearest tenth.
A sphere has a diameter of 2yards
Ilana ran 2 laps around the field in 8 minutes. What was her average speed, in laps per minute?
StartFraction 1 Over 10 EndFraction of a lap per minute
One-fourth of a lap per minute
4 laps per minute
10 laps per minute
Answer:
Salty spark is right
Step-by-step explanation:
for anyone who didnt know 0.25 is equivalent to 1/4 just to make it clear 1/4 IS the correct answer saltyspark just put it in decimal form.
To find Ilana's average speed, we divide the total laps by the total minutes, which results in one-fourth of a lap per minute.
Explanation:To find the average speed, we divide the total distance by the total time taken
To determine Ilana's average speed, we need to divide the total distance (2 laps) by the total time (8 minutes). When we do that, we get 0.25 laps per minute.
This is also known as one-fourth of a lap per minute. That means, on average, Ilana completes a quarter of a lap every minute.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Kay walks upstairs to make her legs stronger. Every day at work, she walks up 9 flights of stairs. If there are 13 steps in 1 flight of stairs, how many steps does Kay climb in 5 days at work?
Solve the problem.
Answer:
585 steps
Step-by-step explanation:
To get the solution multiply:
9*13*5 = 585
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Which circle C shows a chord that is not a diameter?
Answer:
if the chord is not passing through the center of the circle it is not a diameter
A chord is any line that divides the circle into two parts; the parts may be equal or unequal
How to draw the chord?From the question, we understand that the chord is not a diameter
This means that:
The chord does not pass through the center of the circleThe chord does not divide the circle into equal segmentsSee attachment for a diagram that illustrates the chord
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23 is between which two prefect squares? Between which two integers is √23
Answer:
4² and 5²
Step-by-step explanation:
4² = 16
5² = 25
The intensity of an earthquake with a magnitude of 2 is how many times greater than the intensity of an a standard earthquake ?
Answer:
The intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.
Explanation:
The magnitude of earthquakes is given by
[tex]Magnitude=log\frac{I}{S}[/tex]
[tex]2=log\frac{I}{S}\\[/tex]
Where I is the intensity of earthquake and S is the intensity of standard earthquake.
The magnitude of standard earthquakes is given by
[tex]Magnitude=log\frac{S}{S}= log(1) = 0[/tex]
So comparing the magnitude of the given earthquake and standard earthquake,
[tex]log\frac{I}{S} = log\frac{S}{S}[/tex]
[tex]log\frac{I}{S} - log\frac{S}{S}[/tex]
[tex]log(2) - log(1)[/tex]
[tex]2 - 0[/tex]
[tex]2[/tex]
which means that
[tex]10^2 = 100[/tex] times greater
Therefore, the intensity of an earthquake with a magnitude of 2 is 100 times greater than the intensity of a standard earthquake.
Please, I need help fast!
Answer:
A.
Step-by-step explanation:
Hope this helps!
What is the y-intercept y = -2x - 3/4
Answer:
- [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x - [tex]\frac{3}{4}[/tex] ← is in slope- intercept form
with y- intercept c = - [tex]\frac{3}{4}[/tex]
sin 68 = 7/b
tan 68 = 7/a
Which Expression is equivalent to the expression (3^2)^3?
27^6
27^5
3^6
3^5
ANSWER ASAP! NEED FOR RIGHT NOW
If UT = 31.6, what is the measure of US?
Given:
UT = 31.5
To find:
The measure of US.
Solution:
In the figure, WV bisects UT.
⇒ US = ST -------------- (1)
UT = US + ST
31.6 = US + US (using (1))
31.6 = 2 US
Divide by 2 on both sides.
[tex]$\frac{31.6}{2} =\frac{2US}{2}[/tex]
[tex]15.8=US[/tex]
The measure of US is 15.8.
Saige's spaceship traveled 588 km in 60 sec. Determine whether or not each spaceship trip below has the same speed as Saige's spaceship.
Answer:
only 441 km in 45 s has the same speed as Saige's
Step-by-step explanation:
588 / 60 = 9.8 km/sec
441 / 45 = 9.8 km/sec
Answer:
441km in 45s—same speed
215km in 25s—not the same speed
649km in 110s—not the same speed
Step-by-step explanation:
the length of a rectangular Hall is four times its width. if the perimeter of the Hall is 20 m, find the length and width of the hall.
Answer:
The length is 16 while the width is 4
Step-by-step explanation:
To solve for perimeter the equation is L+W=P
By using this equation you can get to what you need I made my own equation using what we know
My equation is 4L+W=20
Then I just started plugging things in and I ended up with L= 16 and W=4
Which best explains the relationship between the two triangles below? Triangle D C A. Angle D is 51.2 degrees and angle A is 96.5 degrees. Triangle S R T. Angle S is 32.3 degrees and angle R is 96.5 degrees. Triangle A D C is similar to triangle R T S because Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T. Triangle A D C is similar to triangle R T S because Angle A is similar to angle R, Angle C is similar to angle S, and Angle D is similar to angle T. Triangle A D C is not similar to Triangle R T S because Angle D is not congruent to Angle S. Triangle A D C is not similar to Triangle R T S because C D less than S T, D A less than T R, and C A less than S R.
Answer:
A
Step-by-step explanation:
may i have brainliest
The best explains the relationship between the two triangles will be Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T. Then the correct options are A and B.
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 ratio of the matching sides will remain constant if two triangles are comparable to one another.
If the two angles are similar of the triangles, then the triangles are similar triangle.
The best explains the relationship between the two triangles will be Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T. Then the correct options are A and B.
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BRAINLIEST!!! ASAP! It’s easy
Answer:
83.3%
Step-by-step explanation:
Convert fraction (ratio) 10 / 12
Answer: 83.333333333333%