Answer:
Yes it is
Step-by-step explanation:
the point is covered by both equations
Answer:
1. (-1 infinity) and (- infinity, -5)
2. no
Step-by-step explanation:
11 = - 5x - 2 help
11= -5x-2
[tex]11 = -5x-2\\5x = -2-11\\5x =-13\\x = -13/5[/tex]
Answer: x = -13/5
Ok done. Thank to me :>
Write an equation of the line described: the x-axis
Simply the expression by combining like terms.
9x+8+3x+4=
What is the slope of a line that passes through the points (5,-3) and (13, -9)
Step-by-step explanation:
the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.
so, we see
x changes by +8 (from 5 to 13).
y changes by -6 (from -3 to -9).
so, the slope is -6/+8 = -3/4
Hello.
Let's find the slope using the slope formula:
[tex]\mathrm{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\mathrm{\displaystyle\frac{-9-(-3)}{13-5} }[/tex]
[tex]\mathrm{\displaystyle\frac{-9+3}{13-5} }[/tex]
[tex]\mathrm{\displaystyle\frac{-6}{8} }[/tex]
The fraction can be simplified:
[tex]\mathrm{\displaystyle-\frac{3}{4} }[/tex]
Therefore, the slope is
[tex]\mathrm{\displaystyle-\frac{3}{4} }[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Factor completely 3x(x 2) 4(x 2). (x 2)(3x 4) (x 2)(12x) (x 2)(7x) Prime.
The complete factor of the expression [tex]\rm 3x (x +2) + 4 (x +2)[/tex] is [tex]\rm(x+2)(3x + 4)[/tex]. Then the correct option is A.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is [tex]\rm 3x (x +2) + 4 (x +2)[/tex].
To solve the expression properly we have to take common (x+2). Then we have
[tex]\rm 3x (x +2) + 4 (x +2)\\\\(x+2)(3x + 4)[/tex]
The correct factor is (x + 2)(3x + 4).
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Answer:
Yup A
Step-by-step explanation:
What is the value of x
Answer:
X=55
Step-by-step explanation:
It says 15, so what you want to do is times 15x14 because those are the only sides of the shape. After you multiply 15x14 which is 60, you need to minus 5 because it shows a subtraction sign. So, 60-5= 55. X=55
What is the probability of landing on red and rolling a number greater than 2?
Using it's concept, considering a spinner with four sections and a die with 6 numbers, there is a [tex]\frac{1}{6}[/tex] probability of landing on red and rolling a number greater than 2.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
The spinner has 4 sections, one of which is red, hence P(A) = 1/4.The die has 6 numbers, four of which are greater than two, hence P(B) = 4/6.The events are independent, hence:
[tex]P(A \cap B) = P(A)P(B) = \frac{1}{4} \times \frac{4}{6} = \frac{1}{6}[/tex]
[tex]\frac{1}{6}[/tex] probability of landing on red and rolling a number greater than 2.
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Find the circumference and area of the circle. Use 3.14 for . Round to the nearest hundredth if necessary.
3 m
6 gardeners can plant 18 trees in 30 minutes. How many gardeners would it take to plant 45 trees in 45 minutes
It would take 10 gardeners to plant 45 trees in 45 minutes.
Rule of ThreeIt's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.
The question gives:
6 gardeners can plant 18 trees in 30 minutes.
? gardeners can plant 45 trees in 45 minutes.
6 gardeners can plant [tex]\frac{18\; tree}{30\; min}=\frac{3}{5}[/tex] trees/min. You can calculate the second rate from [tex]\frac{45\; tree}{45\; min}=\frac{1}{1}=1[/tex] tree/min.
Write the previous text information in form of proportion.
6 gardeners ----------- 3/5 trees/min
x gardeners ----------- 1 tree/min
Then, applying cross multiplication:
[tex]\frac{3x}{5}=6\\ \\ 3x=30\\ \\ x=10[/tex]
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Solve , 6x + 5 = 2y
(Hint : Use ax + by + c = 0 )
Answer:
soln;
given equation is 6x + 5 = 2y
or, 6x -2y + 5 = 0
comparing with ax + by + c = 0
a = 6, b = -2, c = 5
1 quart = ? pints=?cups
[tex]\Huge\green{\tt{✏Answer✏}}[/tex]
1 us liquid quart =
2 us liquid pints[tex]\Huge\blue{\tt{✏Explanation✏}}[/tex]
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Find angle measure x on each given figure. (Lessons 9.2, 9.4, 9.5)
1. x = 60 (in this trapezoid, opposite angles are equal)
2. Find the third angle of the left triangle : 180 - 17 - 133 = 30
In a parallelogram, the side that is opposite to a side is parallel to each other.
x and the 30 degree are alternate angles -> x = 30
3. (I'll call the 4 triangles A,B,C,D respectively in anticlockwise)
Triangle A has the 25 degree angle, and the bottom right angle of triangle C, they are alternate angles (and the sides are parallel due to the property.)
So, the bottom right angle of triangle C = 25
Triangle C and D form an isoceles triangle, so x = 25.
4. This one I'll just do short. There's a right angle in the triangle that contains x.
3 angles in a triangle add up to 180, so x = 180 - 90 - 50 = 40.
Find the discriminant of 5x2 – 3x + 2 = 0 =
Answer: -31
Step-by-step explanation:
5x³- 3x + 2 = 0
a = 5, b = -3, c = 2
(-3)² -4 × 5 × 2
-31
The cash price of a laptop is $4799. It cab be boughton hire purchase by making a deposit of $540 and 12 monthly installment of $374. 98 each calculate the total hire purchase price of the laptop
Answer:
#29983873 is the best answer
Every year, Alice's family runs the sand castle contest during the Fun in the Sun beach festival. Alice's job is to deliver empty buckets to the teams. This year, Alice hands out the same number of buckets to each of the 15 teams in the contest. Each team gets 8 buckets.
Use an equation to find the total number of buckets Alice delivers.
Answer:
120 buckets
Step-by-step explanation:
If there are 15 teams and each team gets the same number of buckets (8 buckets as mentioned in the problem), then you can multiply 15 by 8 to get 120.
15 teams * 8 buckets = 120 total buckets
What is the value of x in this proportion?
27=−5x+3
x=−20 1/2
x=−19
x=−16
x=−14 1/2
Answer:
x = -24/5
none of the options listed
Step-by-step explanation:
27=−5x+3
the choices all have x listed as a positive number, so we need to fix the question by moving 5x to the other side of the = and changing its sign.
27 +5x= 3
then move the 27
5x= 3 -27
then subtract
5x = -24
then divide both sides by 5
x = -24/5
When Akbar’s son was four years old, Akbar put $250 into an account that guaranteed a 10% annual return. The equation f(x)=250(1.10)^x-4 represents the amount of money in the account when the child will be x years old.
Which graph models the scenario?
The graph that models the scenarios must increase upwards since it is a growth rate.
Exponential functionsGiven the exponential function expressed as:
f(x)=250(1.10)^x-4
where
x is the time taken
The graph that models the scenarios must increase upwards since it is a growth rate. The required graph is as shown below;
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Answer:
D on edge
Step-by-step explanation:
The vertices of quadrilateral WXYZ are W(-5,5), X(-3, 8), Y(6, 2), and Z(4, -1). What choice is the best description of quadrilateral?
A. Trapezoid
B. Square
C. rhombous, that is not square
D. rectangle, that is not square
Please provide explanation. DOn't just say one option.
Quadrilaterals are shapes with four sides
The description of the quadrilateral is (d) rectangle, that is not square
How to determine the shapeThe coordinates are given as:
W(-5,5), X(-3, 8), Y(6, 2), and Z(4, -1)
Next, we plot the coordinates on a graph (see attachment)
From the attachment, we can see that the coordinates form a rectangle
Hence, the description of the quadrilateral is (d) rectangle, that is not square
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in Indiana the sales tax rate is 7% of the total cost. what is the amount of sales tax on a purchase of 47$
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7\% of 47}}{\left( \cfrac{7}{100} \right)47}\implies 3.29[/tex]
The local firemen have a 50 ft. ladder. They need to get to the top a 48 foot building. What is the maximum distance away from the building they can place the foot of the ladder so that the top of the ladder reaches the top of the building?
Answer:14 ft
Step-by-step explanation: 50^2=x^2+48^2(Pythagorean theorem)
x^2=2500-2304
x^2=196
x=14
Manuel is driving 60 miles per hour on a state road with a 65 mph speed limit. He sees a fallen tree up ahead and must come to a quick, complete stop.
a. What is his approximate reaction distance?
b. What is his approximate braking distance?
c. About how many feet does the car travel from the time he switches pedals until the car has completely stopped?
a) The approximate reaction distance is 66 feet.
b) The approximate braking distance is 802.304 feet.
c) The total distance is 868.304 feet.
How to analyzing reaction time in a braking event
The average reaction time ([tex]t_{R}[/tex]) is 0.75 seconds. Manuel drives at constant velocity in the first 0.75 seconds, then he decelerates the vehicle.
a) The reaction distance ([tex]x_{R}[/tex]), in meters, is found by the following expression:
[tex]x_{R} = v_{o}\cdot t_{R}[/tex] (1)
Where [tex]v_{o}[/tex] is the initial velocity, in feet per hour.
If we know that [tex]v_{o} = 60\,\frac{mi}{h}[/tex] ([tex]v_{o} = 88\,\frac{ft}{s}[/tex]) and [tex]t_{R} = 0.75\,s[/tex], then the approximate reaction distance is:
[tex]x_{R} = (88)\cdot (0.75)[/tex]
[tex]x_{R} = 66\,ft[/tex]
The approximate reaction distance is 66 feet. [tex]\blacksquare[/tex]
b) A normal braking has magnitudes of about 0.15 times the value of gravitational acceleration ([tex]g = 32.174\,\frac{ft}{s^{2}}[/tex]). The approximate braking distance ([tex]d[/tex]), in feet, is found by the following kinematic formula:
[tex]d = \frac{v^{2}-v_{o}^{2}}{2\cdot a}[/tex] (2)
Where:
[tex]a[/tex] - Deceleration rate, in feet per square second.[tex]v[/tex] - Final velocity, in feet per second.If we know that [tex]v_{o} = 88\,\frac{ft}{s}[/tex] and [tex]v_{o} = 0\,\frac{ft}{s}[/tex], then the approximate braking distance is:
[tex]d = \frac{\left(0\,\frac{ft}{s}\right)^{2}-\left(88\,\frac{ft}{s} \right)^{2}}{2\cdot \left(0.15\right)\cdot \left(-32.174\,\frac{ft}{s^{2}} \right)}[/tex]
[tex]d = 802.304\,ft[/tex]
The approximate braking distance is 802.304 feet. [tex]\blacksquare[/tex]
c) The total distance is the sum of distances found in a) and b). Then, the total distance is 868.304 feet. [tex]\blacksquare[/tex]
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Given mn, find the value of x.
(x+5)*(x-13)
x²-13x+5x-65
x²-8x-65
(x+5)(x−13)
Domain
x∈R
Range
y∈[−81,∞)
Zeros
x=−5; x=13
Y-intercept
y=−65
Minima
(4,−81)
Classify the angles in the figure by choosing the correct term from the choices below.
supplementary
complementary
vertical
none of these
Answer: none of these
Step-by-step explanation:
They are not supplementary because 101+77 = 178 and not 180.
They are not complementary because 101+77 = 178 and not 90.
They are not vertical because there are no intersecting lines and the two angle measures are not equal.
Therefore, none of these are true.
Which number is not a rational number?
-4 4/11
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Use either the traditional method or P-value method as indicated. Identify the null and alternative hypotheses, test statistic, critical value(s) or P-value (or range of P-values) as appropriate, and state the final conclusion that addresses the original claim. Choose the correct option based on the problem information.
A large software company gives job applicants a test of programming ability and the mean for that test has been 160 in the past. Twenty-five job applicants are randomly selected from one large university and they produce a mean score and standard deviation of 183 and 12, respectively. Use a 0.05 level of significance to test the claim that this sample comes from a population with a mean score greater than 160. Use the P-value method of testing hypotheses. Choose the correct P-value and conclusion based on the null hypothesis.
A. P-value < 0.005. Fail to reject H0.
B. 0.01 < P-value < 0.025. Reject H0.
C. P-value < 0.005. Reject H0.
D. P-value = 0.05. Reject H0.
Answer:
C
explanation:
if The P-Value is low reject H0
The correct P-value and conclusion based on the null hypothesis. The correct option is C. P-value < 0.005. Reject H₀.
In this problem, we will use the P-value method to test a claim about the mean score of job applicants in a programming test. The claim is whether the sample of 25 job applicants from a large university comes from a population with a mean score greater than 160, given that the population is normally distributed. We'll use a significance level of 0.05 to make our decision. We'll set up the null and alternative hypotheses, calculate the test statistic, and find the P-value to draw a conclusion about the claim.
Let's begin by defining the null and alternative hypotheses:
- Null Hypothesis (H₀): The mean score of job applicants from the university is not greater than 160. H₀: μ ≤ 160.
- Alternative Hypothesis (H₁): The mean score of job applicants from the university is greater than 160. H₁: μ > 160.
Here, μ represents the true population mean score.
Next, we'll calculate the test statistic. Since the population standard deviation (σ) is not known, we'll use the sample's standard deviation (s) and perform a one-sample t-test. The formula for the t-test is:
t = (x' - μ₀) / (s/√n)
Where:
x' is the sample mean,
μ₀ is the hypothesized population mean under the null hypothesis (μ₀ = 160 in this case),
s is the sample standard deviation, and
n is the sample size.
Substituting the given values:
x' = 183 (sample mean)
μ₀ = 160 (hypothesized population mean under H0)
s = 12 (sample standard deviation)
n = 25 (sample size)
t = (183 - 160) / (12/√25)
= 23 / 2.4
≈ 9.583
Now, we need to find the P-value corresponding to this test statistic. Since this is a one-tailed test (claiming that the mean is greater than 160), we look for the area under the t-distribution curve to the right of t = 9.583.
By consulting a t-table or using statistical software, we find that the P-value is significantly less than 0.001. The exact P-value is not provided in the answer options, but it's crucial to note that it is well below 0.005.
Now, we compare the P-value to the significance level (α = 0.05). Since the P-value < α, we reject the null hypothesis (H₀). The data provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.
The correct option is C. P-value < 0.005. Reject H₀. The statistical analysis indicates that there is strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.
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The local y charges a yearly of $35 plus for each time you use the pool if you can spend no more than $170 each year for the y how many times can you use the pool
Answer:
Answer is 4
Step-by-step explanation:
35 times table
35 x 5= 175 too large
35X4= 140
The equation for line p can be written as y= – 5/4 x–6. Line q includes the point (5, – 8) and is parallel to line p. What is the equation of line q?
Answer:
y = -(5/4)x - (1 3/4)
Step-by-step explanation:
A line parallel to y= -(5/4)x - 6 will have the same slope, -(5/4), but a different value for the y-intercept, which is -6 in this equation. This means we can write:
y = -(5/4)x + b
As klong a b is not -6, the line will be parallel. But we are told that point (5,-8) must be on the new line. That means we need to select a value of b to make that happen. By shifting b, we can move the straight line up or down. To move it so that it goes through (5,8), enter that point in the equation and solve for b:
y = -(5/4)x + b
-8 = -(5/4)*5 + b for (5,-8)
-8 = -(25/4) + b
b = -8 + (25/4)
b = -(32/4)+(25/4)
b = -(7/4) or - 1 3/4
The parallel line that goes through (5,-8) is y = -(5/4)x - 2
Answer:
y=-5/4x-7/4
Step-by-step explanation:
(100 points) scatter plot is shown.
A scatter plot is shown with numbers from 1 to 10 at increments of 1 on the x axis and numbers from 0 to 10 at increments of 1 on the y axis. The ordered pairs 0, 2 and 1, 3 and 1, 9 and 1.2, 4 and 1.9, 4 and 2.6, 4.2 and 3, 5 and 4, 5 and 4, 6 and 4.8, 6.1 and 5, 7 and 5, 7.9 and 6.9, 7.1 and 6, 8 and 7, 3.8 and 7, 8.2 and 7, 9.1 and 7.1, 9.8 and 8, 10 and 10, 7 and 9, 5.
How many outliers does the graph show?
1
2
3
4
Answer:
The graph shows 2 outliers. The scatter plot consist on a straight pattern. As seen, only 2 points are not within the straight line. We can conclude that only two points are outliers. =
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
I just took the test do not listen to the other persons answer or you will get it wrong. :) no offense. Have a great day everyone.
7. Matthew drove 350 miles on 10 gallons of gasoline. How many miles per gallon does
his car get?
Answer:
35
Step-by-step explanation:
350miles/10=10gallons/10
=35miles=1gallon
The diameter of the pizza is 10 inches what is the conference of the pizza use 3.14 for pie