Answer:
210=85+125-x+25
x= 235-210
x=25 failled in both
Step-by-step explanation:
Write an expression to show the sum of g and h reduced by 11.
Answer:
Required expression = (g+h) - 11
What are the values of a, b, and c in the quadratic equation –2x2 + 4x – 3 = 0?
a = 2, b = 4, c = 3
a = 2, b = 4, c = –3
a = –2, b = 4, c = 3
a = –2, b = 4, c = – 3
Answer:
a = –2, b = 4, c = – 3
Step-by-step explanation:
We are given the following quadratic equation in the question:
-2x^2 + 4x - 3 = 0−2x
2
+4x−3=0
General form of quadratic equation:
ax^2 + bx + c = 0ax
2
+bx+c=0
Comparing the given equation to general quadratic equation, we get,
a = -2, b = 4, c = -3a=−2,b=4,c=−3
Thus, the correct answer is
Option D) a = –2, b = 4, c = – 3
The values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3
What is a quadratic equation?The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given is a quadratic equation -2x²+4x-3 = 0, we need to find the values of a, b, and c in the given quadratic equation.
The standard equation of a quadratic equation is ax²+bx+c = 0,
Comparing the given equation with the standard equation,
We get, a = -2, b = 4, c = -3
Hence, the values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3
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2x-y=-5 x+y=8 elimination
An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9. Is there sufficient evidence at the 0.1 level to support the testing firm's claim?
Answer:
The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.
Step-by-step explanation:
An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:
At the null hypothesis, we test if the mean is the same, that is:
[tex]H_0: \mu = 59.5[/tex]
At the alternate hypothesis, we test that it is different, that is:
[tex]H_a: \mu \neq 59.5[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
59.5 is tested at the null hypothesis:
This means that [tex]\mu = 59.5[/tex]
After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.
This means that [tex]n = 250, X = 59.2, \sigma = 1.9[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}[/tex]
[tex]z = -2.5[/tex]
Pvalue of the test and decision:
The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.
Looking at the z-table, Z = -2.5 has a pvalue of 0.0062
2*0.0062 = 0.0124
The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.
List down three angles formed when a transversal intersects the two lines
Answer:
The intersections of a transversal with two lines create various types of pairs of angles: consecutive interior angles, consecutive exterior angles, corresponding angles, and alternate angles.
Olive flipped a coin and rolled a number cube with the
numbers 1-6 on it. What is the probability that she flipped
heads and rolled an even number?
1
N
3
4
5
6
H
H1
H2
H3
H4
H5
H6
T
T1
T2
T3
T4
T 5
T6
3
3
Answer:
p
Step-by-step explanation:
Write the quadratic equation that is represented by the graph.
Step-by-step explanation:
Note that this graph has roots at x = 1 and x = 5. Its maximum occurs at (3, 4) and it opens downward. So writing the vertex form of this graph, we get
[tex]y = - (x - 1)(x - 5)[/tex]
Then expanding this, the equation becomes
[tex]y = - {x}^{2} + 6x - 5[/tex]
As a check, note that the y-intercept is at (0, -5) so if we use x = 0 in the equation above, we see that y = -5. Similarly, if we use x = 3, the value of y is y = 4, as expected.
The velocity function, in feet per second, is given for a particle moving along a straight line.
v(t) = t2 − t − 182, 1 ≤ t ≤ 15
(a) Find the displacement
(b) ) Find the total distance that the particle travels over the given interval.
Answer:
a)2
B)2
Step-by-step explanation:
Belinda builds a rectangular prism that is 2 cubes long, 3 cubes wide, and 2 cubes tall. Each dimension of April's rectangular prism is twice as many cubes as Belinda's prism. What is the volume of April's prism? Use an equation to show your work.
Answer:
96 cubes vol.
Step-by-step explanation:
the volume of Belinda's prism =
2×3×2 = 12 cubes vol.
Each dimension of April's rectangular prism is twice as many cubes as Belinda's prism.
the volume of April's prism =
(2×2)×(2×3)×(2×2)= 4×6×4= 96 cubes vol.
so,
the volume of April's prism = (2)³ times the volume of Belinda's prism
you draw two marbles without replacement from a bag containing four green marbles and five black marbles the number of possible outcomes in the sample spaces
Write the absolute value equation that is represented by the graph
Answer:
Step-by-step explanation:
g(x) = -|x-3| +4
What is the the volume of the rectangular prism?
PLEASE HELP FAST! 15 POINTS!!
Answer:
540 in³
Step-by-step explanation:
v = lwh
v = 18 * 10 * 3
c = 540 in³
Answer:
v= length x width x height so 10x18x3= 540in cubed
Step-by-step explanation:
A jar contains 4 marbles marked with the numbers 1 through 4. You pick a marble at random. What is the
probability of not picking the marble marked with the number 3? Enter your answer as a simplified
fraction.
The probability of not picking the marble marked with the number 3 is
Answer:
p =favorable outcome/possible outcome
p(not 3)=3/4
What does x have to equal to make the statement true (solve for x)
a. 2x =10
b. -3x = 21
c. 1/3(x) = 6
d. -1/2(x) = -7
Answer:
See below
Step-by-step explanation:
2x = 10
Divide by 2.
x = 5
x has to equal 5 to make the first statement true.
Proof:
2x = 10
2(5) = 10
10 = 10
-3x = 21
Divide by -3.
x = -7
x has to equal -7 to make the second statement true.
Proof:
-3x = 21
-3(-7) = 21
21 = 21
1/3(x) = 6
Multiply by 3 to cancel the fraction.
x = 18
x has to equal 18 to make the third statement true.
Proof:
1/3(x) = 6
1/3(18) = 6
6 = 6
-1/2(x) = -7
Multiply by -2 to cancel the fraction.
x = 14
x has to equal 14 to make the fourth statement true.
Proof:
-1/2(x) = -7
-1/2(14) = -7
-7 = -7
what 2 number multiply to be -12 and add to be -1
Find the coordinates of the image after a translation of the figure below using (x,y) → (x+3, y + 2).
YA
10
9
8
7
16
5
4
3
B
1
-10-9-8-7 -6 -5 4 3
1
2
3
45
6 7
89
10
3
А
4
D
-5
-8
19
-10
Al
B'(
C'(
Answer:
A(-3,-4)
B(-1,1)
C(3,5)
D(2,-5)
Step-by-step explanation:
if you have any questions about it dont hesitate to ask me
Currently, the number of people entering a shopping mall is 109. It is estimated that the number of people entering the shopping mall will decrease by 3% each hour. Find the total number of people entering the shopping mall at the end of 4 hours. (Round your answer to the nearest whole number if necessary.)
Answer:
96 people.
Step-by-step explanation:
Exponential equation for a decreasing amount:
The exponential equation for a decreasing amount is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial rate and r is the decay rate, as a decimal.
Currently, the number of people entering a shopping mall is 109.
This means that [tex]A(0) = 109[/tex]
It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.
This means that [tex]r = 0.03[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 109(1-0.03)^t[/tex]
[tex]A(t) = 109(0.97)^t[/tex]
Find the total number of people entering the shopping mall at the end of 4 hours.
This is A(4). So
[tex]A(4) = 109(0.97)^4 = 96.49[/tex]
Rounding to the nearest whole number, 96 people.
What is 3.4 million divided by 60
Answer:
[tex]56666\frac{2}{3}[/tex]
Step-by-step explanation:
Answer:56,666.666
Step-by-step explanation:
Respuesta
Look at the photo for my question
Answer:
The correct answer is option C.
Step-by-step explanation:
To find a substitute for the variable y in the second equation, you need to first find out what y is equivalent to in the first equation: in other words, isolate the variable. [tex]2y-x=6[/tex] ⇒ [tex]2y = x + 6[/tex] ⇒ [tex]y = 0.5x + 3[/tex]. Since y is equivalent to [tex]0.5x+3[/tex] in the first equation, that means you can use that to replace y in the second equation, so the correct choice is C.
Paul is filling the rectangular prism shown with cubes that measure 14 inch along each edge.
Answer:
Step-by-step explanation:
Quick. What is the product of the LCM and the GCD of 6 and 9? ANSWER FAST
Approximately how many square inches of space are blank?
Answer:
blank area = 1.5π units²
Step-by-step explanation:
area of full circle = πr² = π6² = 36π units²
blank area = (15/360)(36π) = 1.5π units²
The area blank in a circular mosaic pattern is 4.71 square units.
What is a circle?A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The diagram shows the circle with a central angle cutout.
The central angle, θ = 15°
Radius of the circle, r = 6 units
The formula of area blank in circle is
[tex]Area_{blank} = \frac{\theta}{360}\pi r^{2}[/tex]
⇒ [tex]Area_{blank} = \frac{15}{360}(3.14) (6)^{2}[/tex] [∵ π = 3.14 ]
⇒ [tex]Area_{blank} = 0.0416(3.14) (36)[/tex]
⇒ [tex]Area_{blank} = 4.71[/tex]
Hence we can conclude that the area blank in a circular mosaic pattern is 4.71 square units.
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I need a answer solved, WITH the explanation done well.
The question is:
What percentage of students chose hockey or softball?
Answer:
16%+26%= 42%
Answer: 32% is the answer
Step-by-step explanation: since the question says What percentage of students chose hockey or softball? add the presentage of hockey and softball and you will get 32% hope it helps
I would like help thanks!
Answer:
B
Step-by-step explanation:
if you connect and extend to points it forms a line with a y-intercept of 2 when x is zero
y = mx + b m the slope equals 1
y = x +2
What is an equation of the line that passes through the points (-4, -4) and (4, 6)?
Answer:
y = (5/4)x+1
Step-by-step explanation:
[tex]\frac{y+4}{x+4} =\frac{-4-6}{-4-4}[/tex]
[tex]\frac{y+4}{x+4} = \frac{-10}{-8} \\or, 4(y+4) = 5(x+4)\\or, 4y= 5x+20-16\\or, y= \frac{5}{4}x+1[/tex]
Find the measure of angle BAC. (The figure is not drawn to scale.)
A. 22
B. 34
C. 68
D. 136
If angle BOC in circle is 68° then the measure of angle BAC is 34°.
Given that angle BOC in the circle is 68°.
We have to find the angle BAC.
We have that m∠BOC=arc BC ------by central angle.
we have m∠BOC=68°.
therefore arc BC=68°.
We know that the inscribed angle is half that of the arc it comprises so m∠BAC=1/2 *(arc BC)-----1
In geometry one of the theorem states states that angle at the center of a circle is twice angle at the circumference.
We have that arc BC=68°
substitute arc BC in equation 1 to get the measurement of ∠BAC.
m∠BAC=[tex]68/2[/tex]
=34°
Hence if angle BOC in circle is 68° then the measure of angle BAC is 34°.
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DUE IN 3 MINUTES PLEASE HELP
Answer:
B. 12^3 - 12^2 - 11
Step-by-step explanation:
........
Quickly Need help ASAP
Answer:
It's (B), using L'Hopital's Rule.
What’s the area of the figure below?
Answer:
482.5 ft^2.
Step-by-step explanation:
The figure can be regarded as a rectangle with a triangle cut out of one corner.
The base of the triangle = 25-20 = 5 in and the height = 20 - 13 = 7 in.
The required area = area of rectangle - area of triangle
= 25*20 - 1/2 * 5 * 7
= 500 - 17.5
= 482.5 ft^2
9514 1404 393
Answer:
482.5 square inches
Step-by-step explanation:
The figure can be considered to be a 25 in by 20 in rectangle with a 5 in by 7 in triangle cut off the corner. Then the area of the figure is the area of the rectangle, less the area of the triangle.
A = LW - 1/2bh
= (25 in)(20 in) - 1/2(5 in)(7 in) = 500 in² -35/2 in² = 482 1/2 in²
The area of the figure is 482.5 square inches.
Which is the simplified form of the expression?
Answer:
[tex]\frac{1}{x^21y^12}[/tex]
Step-by-step explanation: