Answer:
slope m = -2, y-intercept b = 1
Step-by-step explanation:
The slope is the change in y over the change in x.
Equation for slope: y2-y1/x2-x1=m
Since they already gave us the two points we just have to decide which one is our y2,y1 and out x2,x1 (which one you chose does not matter). And plug the numbers into the equation and get: -3-1/2-0=m, in this case, m=-4/2 and simplify it into -2. Now we have our slope.
The y-intercept is where the line crosses over the y-axis, and in our case, it is given to us in the (0,1) so our slope is 1.
Hope this helps you
Simplify the expression.
(-1 + 2i) - (-2 - 2i)
Answer:
1 +4
Step-by-step explanation:
-1+2= 1
-2-2=-4
1--4=1+4
identify an equation in point-slope for the line parellel to y= 1/2 x-7 that passes through (-3 , -2)
Answer:
y+2=1/2(x+3)
Why?
Point slope form is written as (y-y1) = m(x-x1) with y1 being the value of y at a certain point, x1 being the value of x at a certain point, and m being slope. y1 and x1 are given to us by the point (-3, -2) letting us know that y1=-2 and x1=-3. The only thing left to find is slope. Parallel lines have the same slope. If the line we are trying to find is parallel to the one given in the question, we just need to find the slope of the equation given. That equation is given in slope-intercept form which is y = mx + b. m is still slope so we can see that the slope is 1/2. Now we can plug m, x1 and y1 into the point slope form equation to get y + 2 = 1/2(x + 3)
Marcie cooked dinner for herself. The original recipe has a serving size of 3 and requires three and three sevenths pounds of chicken. How many pounds of chicken will be needed for a single serving?
one and one seventh pounds
nine and three sevenths pounds
two over 49 pounds
three sevenths pounds
Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The number of pounds for 3 people is given by:
\(3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}\)
Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:
\(\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}\)
24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:
one and three seventh pounds.
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Answer:
Step-by-step explanation:
the awnser is cerrot.
Help please ❤️
Is it possible for an amount of money invested in an
account earning simple interest to earn more interest than the same
amount of money invested at the same rate in an account earning
interest compounded annually? Explain.
Answer:
yes
Step-by-step explanation:
if u don't touch that money for a long time u will have more money than in the other. hope this helps.
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if sample variances are significantly different, we cannot conduct t-test on those data
T/F
False. The statement is not entirely accurate. While significantly different sample variances can impact the assumptions of a t-test, it does not necessarily mean that a t-test cannot be conducted.
In traditional t-tests, there is an assumption of equal variances between the compared groups or populations. This assumption is known as the assumption of homogeneity of variances. If the sample variances are significantly different, it violates this assumption.
However, there are alternative versions of the t-test that can be used when the variances are not equal, such as the Welch's t-test or the modified t-test. These tests do not assume equal variances and can be applied when the variances are significantly different.
Therefore, it is possible to conduct a t-test even when the sample variances are significantly different, using appropriate modifications to the test. However, it is essential to consider the validity and appropriateness of the chosen test based on the specific circumstances and assumptions of the data.
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a baseball team has 3 outfielders, 4 infielders and a battery (the pitcher and a catcher) what is the ratio for infielders to the battery
Answer:
4:1
Step-by-step explanation:
There are 4 infielders and 1 battery
The health care provider orders vancomycin 300 mg IVPB every 12 hours for an infection. The child weighs 35 lbs. The dose range for vancomycin is 15-25 mg/kg. Is this provider order a safe dose for this child? Round to the nearest tenth A Dose range mg to mg I For Blank 2 B. Order is safe?
The provider order is a safe dose for this child.
We have,
To determine if the provider order is a safe dose for the child, we need to calculate the child's weight in kilograms and then check if the ordered dose falls within the recommended dose range.
Given:
Child's weight: 35 lbs
Step 1: Convert the child's weight from pounds to kilograms.
1 lb is approximately equal to 0.4536 kg.
35 lbs x 0.4536 kg/lb = 15.876 kg (rounded to three decimal places)
Step 2: Calculate the dose range based on the child's weight.
Minimum dose: 15 mg/kg x 15.876 kg = 238.14 mg (rounded to two decimal places)
Maximum dose: 25 mg/kg x 15.876 kg = 396.90 mg (rounded to two decimal places)
Step 3: Compare the ordered dose to the calculated dose range.
Ordered dose: 300 mg
The ordered dose of 300 mg is within the calculated dose range of 238.14 mg to 396.90 mg.
Therefore,
The provider order is a safe dose for this child.
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Theo rolls a dice 306 times.
Work out an estimate for the number of times Theo rolls an even number
A sphere has a radius of 4 feet. What is the volume of the sphere? Express your answer in terms of pi.
The volume of the sphere is ___ pi.
Question 2
A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this balloon holds?
Use 3.14 as an approximate for pi and give a numerical answer.
The balloon can hold ____ cubic feet of air.
What rule translates a figure two units up?
Answer:
i think number 1 is b and number 2 is c
Step-by-step explanation:
write the equation of the line in slope-intercept form using the given information.
through: (4,-3), parallel to y=1/2x-3
Answer:
Step-by-step explanation:
y + 3 = 1/2(x - 4)
y + 3 = 1/2x - 2
y = 1/2x - 5
0.39+0.11= adding decimals
True or false the product of a complex number and its conjugate is a real numberi
Answer:
It is true that the product of a complex number and its conjugate is a real number.
Step-by-step explanation:
You're welcome.
Answer:
True
Step-by-step explanation:
....this is how you 'rationalize' denominators that have complex numbers in them
according to a recent survey, voter turnout for young people is at an all-time low. from a random sample, it was found that 35% of young people voted in the last primary election. if three people are interviewed, what is the probability that none of them voted in the primary election? what is the probability that only one of them voted in the primary election? what is the probability that 2 of them voted in the primary election? what is the probability that all three of them voted in the primary election?
Probability that none of them voted in the primary election: 0.45, Probability that only one of them voted in the primary election: 0.44, Probability that 2 of them voted in the primary election: 0.18, Probability that all three of them voted in the primary election: 0.04
To calculate these probabilities, we can use the binomial distribution formula:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
where:
- n is the sample size (in this case, 3)
- k is the number of "successes" (in this case, voting in the primary election)
- p is the probability of success (in this case, 0.35)
Probability that none of them voted in the primary election:
P(X=0) = (3 choose 0) * 0.35^0 * (1-0.35)^(3-0) = 0.45
Probability that only one of them voted in the primary election:
P(X=1) = (3 choose 1) * 0.35^1 * (1-0.35)^(3-1) = 0.44
Probability that 2 of them voted in the primary election:
P(X=2) = (3 choose 2) * 0.35^2 * (1-0.35)^(3-2) = 0.18
Probability that all three of them voted in the primary election:
P(X=3) = (3 choose 3) * 0.35^3 * (1-0.35)^(3-3) = 0.04
So the probabilities are:
- Probability that none of them voted in the primary election: 0.45
- Probability that only one of them voted in the primary election: 0.44
- Probability that 2 of them voted in the primary election: 0.18
- Probability that all three of them voted in the primary election: 0.04
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value of
-
p(q − 3)
4
when p = 2 and q = -7
Answer:
80
Step-by-step explanation:
-p(q-3)4
We need to plug in our values and replace the variables. This makes the equation look like:
-2 (-7 - 3) x 4
1. -2 (-10) x 4: We focus on order of operations and complete the equation in the parentheses first.
2. 20 x 4: Then we multiply from right to left since there is no particular order in which we must do the same operation.
3. 80
Plug numbers into the expression :
p = 2
q = - 7
\(\sf{p(q-3)}\\2(-7-3)\\2(-10)\\-20\)
-20 (ans.)
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PLEASE ANSWER QUICKLY Which of the following is the correct graph of the compound inequality 4p + 1 > -15 and 6p + 3 < 45?
o
7
-7 -6 -5
-3 -2 -1
0
1
2
3
4
5
6
8
9 10 11
O
-7 -6 -5 -4
O
7
-3 -2 -1
0
1
2
3
4
5
6
8
9 10 11
-7 -6 -5 -4 -3 -2 -1
0
1
2
3
4
5
6
7
8
9 10 11
- 7 -6 -5 -4 -3 -2 -1
0 1 2
3
4
5
6
7
8
9 10 11
Answer:
abce
Step-by-step explanation
correct
Can anyone help me with this?
Answer:
a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°
A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. The customer has a budget of $370 allocated for the centerpieces and wants each centerpiece to contain 15 flowers, with twice as many roses as the number of irises and lilies combined. (Let r represent the number of roses, l represent the number of lilies, and i represent the number of irises.)
b) Solving the matrix equation, we find r = 8, l = 4, and i = 3. The florist can use 8 roses, 4 lilies, and 3 irises for each centerpiece.
How to solvea) The system of linear equations representing the situation is:
r + l + i = 15 (total flowers in one centerpiece)
r = 2(l + i) (twice as many roses as irises and lilies combined)
10(2.50r + 4l + 2i) = 370 (total budget)'
Matrix equation: AX = B, where
A = [[1, 1, 1], [2, -1, -1], [25, 40, 20]],
X = [[r], [l], [i]], and
B = [[15], [0], [370]]
b) Solving the matrix equation, we find r = 8, l = 4, and i = 3. The florist can use 8 roses, 4 lilies, and 3 irises for each centerpiece.
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The Complete Question:
A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. The customer has a budget of $370 allocated for the centerpieces and wants each centerpiece to contain 15 flowers, with twice as many roses as the number of irises and lilies combined. (Let r represent the number of roses, l represent the number of lilies, and i represent the number of irises.)
a) Write a system of linear equations that represents the situation. Then write a matrix equation that corresponds to your system.
b) Find the number of flowers of each type that the florist can use to create the 10 centerpieces.
x=y^z , y=z^x , z=x^y then
options:
a . xy/z=1
b . xyz=1
c . x+y+z=1
d . xz=y
e . xy=z
If u know how to solve this problem plss do it with solution
The given equation x=\(y^{z}\), y=\(z^x}\) , z=\(x^{y}\)is: b . xyz=1.
What is equation?To solve this system of equations we have to substitute the given equations into one another:
First equation:
x = \(y^{z}\)
Substitute into the second equation:
\((y^{z})^x\) = \(y^({zx})\)
Taking the logarithm of both sides:
log(y) = zx * log(y)
Simplify
1 = zx
Substitute the value of z into the third equation:
\(z = (x^y) = (y^z)^y = y^(^z^y).\)
Take the logarithm of both sides:
log(z) = zy * log(y)
Simplify
1 = zy
From the first equation x =\(y^z,\) 1 = zx and 1 = zy.
Multiply the equations
1 * 1 = zx * zy,
1 = \(z^2\) * xy,
xyz = 1
Therefore the correct option is b.
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An economy package of cups has 460 green cups. If the green cups are 20% of the total package, how many cups are in the package?
Someone please help! I’ll give brainliest!!
Answer:
120m3
Step-by-step explanation:
V=4/3 x π x r³
= 4/3 x 3.14 x 3.1³
≈ 120 (nearest tenth)
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Write the inequality that matches the situation. Amanda rented a bike from Shawna's Bikes. They charge $2 per hour, plus a $10 fee. Amanda paid less than $27.
Last year at a certain high school, there were 140 boys on the honor roll and 60 girls
on the honor roll. This year, the number of boys on the honor roll increased by 25%
and the number of girls on the honor roll increased by 15%. By what percentage did
the total number of students on the honor roll increase? Round your answer to the
nearest tenth (if necessary).
Answer:
11.5%
Step-by-step explanation:
Answer:
122%
Explanation:
140×1.25 = 175 boys
60 x 1.15 =69
175+69 = 244
140+60= 200
244/200 × 100 = 122%
A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2(18)+3(18) to model the total cost for the family, and Alex used the expression 5(18). Which property of operations makes both of their expressions correct? O associative property O commutative property O distributive property identity property
Answer:
distributive property
Step-by-step explanation:
5(18)=2(18)+3(18)
Distributive property
c(a+b) = ca+cb
We are using the left hand side and adding a+b
18(2+3) = 2* 18+ 3*18
18*5 = 2* 18+ 3*18
suppose the length of maize ears has narrow sense heritability (h2) ( h 2 ) of 0.70. a population produces ears that have an average length of 28 cm c m , and from this population a breeder selects a plant producing 34- cm c m ears to cross by self-fertilization.
We can expect the mean length of ears in the next generation to be 31.6 cm.
It is given that the narrow sense heritability (h2) is 0.70, which means that 70% of the total variation in maize ear length is due to genetic factors.
Let the mean length of ears in the original population be µ and the mean length of ears in the selected plant be x. Then, we can use the formula for response to selection to find the expected mean length of ears in the next generation:
x' = µ + h2 * (x - µ)
Substituting the given values, we get:
x' = 28 + 0.70 * (34 - 28) = 31.6 cm
Therefore, we can expect the mean length of ears in the next generation to be 31.6 cm.
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3.2 Tshego also intends tiling the dining room and lounge floors. The dimensions of the lounge floor are 4 m by 5 m and of the dining room floor 3 m by 4 m. Information and cost: Tshego intends using tiles that are 35 cm by 35 cm. One box of 4 tiles costs RI43,84. Tile cement costs R99,90 per 20 kg bag, which covers 3 m². She needs 4 bags of tile grout at R89,90 per 5 kg bag. The cost of labour is R2 500. Tshego's total budget for the tiling project is R15 000. Use the information above to answer the questions that follow. 3.2.1 Show that the total floor area to be tiled is 32 m². You may use this formula: Area of a rectangle = length x width (2)
Using the area of a rectangle, the total floor area to be tiled = area of the dinning room + area of the lounge floor = 32 m²
What is the Area of a Rectangle?The area of rectangle = (length)(width).
Total floor area to be tiled = area of the dinning room + area of the lounge floor
Total floor area to be tiled = (4)(5) + (3)(4)
Total floor area to be tiled = 20 + 12
Total floor area to be tiled = 32 m²
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Simplify fully.
4 mm ∶ 180 m ∶ 1 cm
Answer:
first step
convert 180m and 1 cm in mm that is 180000mm and 10mm
then
ples mark me brainlist
The polynomial 6x² + x - 15 has a factor of 2x - 3. What is the other factor?
3x - 5
O 3x + 5
O4x-5
O 4x + 5
Answer: Another factor is 3x + 5.
Step-by-step explanation:
please view the attachment for the steps.
The other factor of the polynomial (6x² + x - 15) would be (3x + 5). Hence option 2 is true.
Given that the polynomial is,
6x² + x - 15
And, The polynomial has a factor of 2x - 3.
Now apply the factorization method to solve for the factor,
6x² + x - 15
6x² + (10 - 9)x - 15
6x² + 10x - 9x - 15
2x (3x + 5) - 3 (3x + 5)
(2x - 3) (3x + 5)
Since The polynomial has a factor of 2x - 3.
Hence, the other factor would be (3x + 5). So option 2 is true.
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a researcher is interested in the relationship between happiness and gpa of high school students. after surveying 50 students, he determines that there is a correlation between these two variables of .90. this is considered a: group of answer choices strong negative linear correlation strong positive linear correlation weak negative linear correlation weak positive linear correlation
The correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.
A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient of 0.90 indicates a strong positive linear correlation between happiness and GPA of high school students.
A positive correlation means that as one variable (in this case, happiness) increases, the other variable (GPA) also tends to increase. The magnitude of the correlation coefficient, which ranges from -1 to 1, represents the strength of the relationship. A value of 0.90 indicates a very strong positive linear correlation, suggesting that there is a consistent and significant relationship between happiness and GPA.
This means that as the level of happiness increases among high school students, their GPA tends to be higher as well. The correlation coefficient of 0.90 suggests a high degree of predictability in the relationship between these two variables.
It is important to note that correlation does not imply causation. While a strong positive correlation indicates a relationship between happiness and GPA, it does not necessarily mean that one variable causes the other. Other factors or variables may also influence the relationship between happiness and GPA.
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HELP ASAP
True or false: