Answer:
67.5
Step-by-step explanation:
Answer:
the hour hand and minute hand on a 12-hour clock at 5:15. Again, the two angles created by the hour hand and minute hand at five-fifteen are 292.5 degrees and 67.5 degrees.
Step-by-step explanation:
What is the midpoint of the line segment graphed below?
(-1,2)
(9,5)
Answer:
1,3
Step-by-step explanation:
Answer:
(4, 2.5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (9, 5) , then
midpoint = ( [tex]\frac{-1+9}{2}[/tex], [tex]\frac{2+5}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex], [tex]\frac{7}{2}[/tex] ) = (4, 3.5 )
Tre and Hector want to calculate the maximum possible throw at this field.
They calculate that the farthest point on the field would be the center fielder standing back at the dead center wall at point (322, 322). Suppose the center fielder threw the ball from here to home base.
How far is the throw?
Answer:
[tex]d=455.38~units[/tex]
Step-by-step explanation:
The coordinates of the dead center of the field, [tex]D\equiv (322,322)[/tex]
Home base in a coordinate system is always the origin, [tex]O\equiv(0,0)[/tex]
The center fielder threw the ball form the dead center to the home base, hence the distance of throw:
[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]d=\sqrt{(322-0)^2+(322-0)^2}[/tex]
[tex]d=455.38~units[/tex]
Answer:Hector threw the ball 65 feet while Tre threw the ball 63 feet far
Step-by-step explanation:
The farthest throw would probably be around 450 feet
Paisley has 8\tfrac{1}{4}8 4 1 cups of yogurt to make smoothies. Each smoothie uses \tfrac{11}{16} 16 11 cup of yogurt. How many smoothies can Paisley make with the yogurt?
Given:
Total Yogurt = [tex]8\dfrac{1}{4}[/tex] cups
Yogurt required for each smoothie = [tex]\dfrac{11}{16}[/tex] cup
To find:
The number of smoothies that Paisley can make with the yogurt.
Solution:
We know that,
[tex]\text{Number of smoothies}=\dfrac{\text{Total yogurt}}{\text{Yogurt required for each smoothie}}[/tex]
Substituting the given values, we get
[tex]\text{Number of smoothies}=\dfrac{8\dfrac{1}{4}}{\dfrac{11}{16}}[/tex]
[tex]\text{Number of smoothies}=8\dfrac{1}{4}\times \dfrac{16}{11}[/tex]
[tex]\text{Number of smoothies}=\dfrac{32+1}{4}\times \dfrac{16}{11}[/tex]
[tex]\text{Number of smoothies}=\dfrac{33}{4}\times \dfrac{16}{11}[/tex]
[tex]\text{Number of smoothies}=3\times 4[/tex]
[tex]\text{Number of smoothies}=12[/tex]
Therefore, the number of smoothies is 12.
HELP ASAP PLZ I NEED IT
Answer:
4. 38 more schools offer basketball than golf.
5. Tennis is offered in the least amount of schools.
Step-by-step explanation:
4. take the number of schools that offer basketball (321) and subtract the number of schools that offer golf (283) to get how many more offer basketball than golf.
5. look at the numbers to the side of the chart and find the lowest number (276). then follow over to the left, and you will find that the least offered sport in schools is tennis.
A set of data that shows temperature highs for 10 days and satisfies all conditions below mean:72 median:74 mode:68 range:21
Answer:
[tex]58, 68, 68, 68, 74, 74, 76, 77, 78, 79[/tex]
Step-by-step explanation:
Given
[tex]n=10[/tex]
[tex]Mean = 72[/tex]
[tex]Median = 74[/tex]
[tex]Mode = 68[/tex]
[tex]Range = 21[/tex]
Required
The complete dataset
The question has missing options (available online)
From the mean, we have:
[tex]Mean = \frac{\sum x}{n}[/tex]
This gives:
[tex]72 = \frac{\sum x}{10}[/tex]
Cross multiply
[tex]\sum x = 72 * 10[/tex]
[tex]\sum x = 720[/tex]
This means that the sum of all elements of the dataset is 720
Next, we test the median
Since n = 10, then:
[tex]Median = \frac{n + 1}{2}[/tex]
[tex]Median = \frac{10 + 1}{2}[/tex]
[tex]Median = \frac{11}{2}[/tex]
[tex]Median = 5.5th[/tex]
This implies that the median is the average of the 5th and 6th item.
So, we have:
[tex]Median = \frac{5th + 6th}{2}[/tex]
Cross multiply
[tex]5th + 6th = 2 * Median[/tex]
[tex]5th + 6th = 2 * 74[/tex]
[tex]5th + 6th = 148[/tex]
This means that the 5th and 6th element add up to 148
Also, we have:
[tex]Mode = 68[/tex]
This means that 68 has to appear at least twice in the dataset
[tex]Range = 21[/tex]
This implies that the difference between the highest and the least is 21.
The dataset that satisfies the above condition is:
[tex]58, 68, 68, 68, 74, 74, 76, 77, 78, 79[/tex]
the tens digit of a two digit number is 5 greater the units digit. If you subtract double the reversed number from it, the result is a fourth of the original number. Find the original number.
Given:
The tens digit of a two digit number is 5 greater the units digit.
If you subtract double the reversed number from it, the result is a fourth of the original number.
To find:
The original number.
Solution:
Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:
[tex]n=(x+5)\times 10+x\times 1[/tex]
[tex]n=10x+50+x[/tex]
[tex]n=11x+50[/tex]
Reversed number is:
[tex]x\times 10+(x+5)\times 1=10x+x+5[/tex]
[tex]x\times 10+(x+5)\times 1=11x+5[/tex]
If you subtract double the reversed number from it, the result is a fourth of the original number.
[tex]11x+50-2(11x+5)=\dfrac{1}{4}(11x+50)[/tex]
[tex]11x+50-22x-10=\dfrac{1}{4}(11x+50)[/tex]
[tex]40-11x=\dfrac{1}{4}(11x+50)[/tex]
Multiply both sides by 4.
[tex]160-44x=11x+50[/tex]
[tex]160-50=11x+44x[/tex]
[tex]110=55x[/tex]
Divide both sides by 55.
[tex]\dfrac{110}{55}=x[/tex]
[tex]2=x[/tex]
The unit digit is 2. So, the tens digit is [tex]2+5=7[/tex].
Therefore, the original number is 72.
SOMEONEEEE HELPPP MEEEE OUTTTTTTT!!!!!
Answer:
4/3
Step-by-step explanation:
Since this is a right triangle,
tan C = opp side / adjacent side
tan C = 36/ 27
tan C = 4/3
Given: x - 7 > -2.
Choose the solution set.
A. {x | x R, x > 14}
B. {x | x R, x > -5}
C. {x | x R, x > 5}
D. {x | x R, x > -9}
Given set:- x - 7 > - 2
Solving It:-
x - 7 > - 2
x > -2 + 7 [Here '7' is greater than '-2' So Sign Changes To Positive]
x > 5
So Correct Solution Set Will Be
Option C= {x | x R, x > 5}
Hope This Helps Youayuda el tema en concreto es "Métodos de solución de ecuaciones simultáneas"
Answer:
x = 3 y y = 2
Step-by-step explanation:
a) Metodo de reduccion:
Para aplicar este metodo debemos multiplcar por 3 la ecuacion 2 y sumarlas.
[tex]4x-3y=6[/tex]
[tex]5x+y=17[/tex] *3
[tex]4x-3y=6[/tex]
[tex]15x+3y=51[/tex]
-------sumamos las ecuacioens--------
[tex]19x=57[/tex]
[tex]x=3[/tex]
Ahora, remplazamos x en la ecuacion 2.
[tex]5(3)+y=17[/tex]
[tex]y=2[/tex]
b) Igualacion
Debemos despejar x en ambas y luego igualarlas
[tex]x=\frac{6+3y}{4}[/tex]
[tex]x=\frac{17-y}{5}[/tex]
Igualando:
[tex]\frac{6+3y}{4}=\frac{17-y}{5}[/tex]
[tex]5(6+3y)=4(17-y)[/tex]
[tex]19y=8[/tex]
[tex]y=2[/tex]
Ahora, remplazamos y en la ecuacion 2.
[tex]5x+2=17[/tex]
[tex]5x=15[/tex]
[tex]x=3[/tex]
c) Sustitucion
Despejamos x de la primero ecuacion y lo remplazamos en dos.
[tex]x=\frac{6+3y}{4}[/tex]
[tex]5\frac{(6+3y)}{4}+y=17[/tex]
Multiplicamos por 4
[tex]5(6+3y)+4y=68[/tex]
[tex]30+15y+4y=68[/tex]
[tex]30+19y=68[/tex]
[tex]19y=38[/tex]
[tex]y=2[/tex]
Remplazando en 1.
[tex]4x-3(2)=6[/tex]
[tex]4x-6=6[/tex]
[tex]4x=12[/tex]
[tex]x=3[/tex]
What traumatic stressors have you faced in your life? What chronic stressors have you faced or do you currently face? What coping strategies and lifestyle choices do you employ to respond to such stressors?
Step-by-step explanation:
What traumatic stressors have you faced in your life? What chronic stressors have you faced or do you currently face? What coping strategies and lifestyle choices do you employ to respond to such stressors?
When AG = 16 ft, find the area of the region that is NOT shaded. Round to the nearest tenth.
Answer:
730.88
Step-by-step explanation:
Area of the entire circle = pi * r^2
r = 16
Area = 3.14 * 16^2
Area = 803.84
1/4 of the circle contains the shaded area. It's area = 1/4 * 803.84
Area of 1/4 circle =
200.96
the area of the triangle
Area = 1/2 AG * G?
AG and G? are equal
Area = 1/2 * 16^2
Area = 128
Area of 1/4 circle - area of the triangle = area of the shaded portion
shaded portion = 200.95 - 128
Shaded Portion = 72.96
So the area of the unshaded part
unshaded = 803.84 - 72.96
Unshaded = 730.88
Jalen is learning to scuba dive. The equation S = 26M + 20 represents the depth he can dive in feet, S, based on the number of lessons he completes, M. How deep can Jalen dive after he takes 8 lessons?
pls answer quick it's gr 9 academic math lol
Answer:
1. (3^3 + 3^2)^2 actually equals (27 + 9)^2
which is the first mistake
2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7
3. 3^7 DOES NOT EQUAL 21
Step-by-step explanation:
when you add powered numbers together, it does not multiply it, as your example:
1. (3^3 + 3^2)^2 actually equals (27 + 9)^2
which is the first mistake
2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7
3. 3^7 DOES NOT EQUAL 21
Hi there!
Error 1
[tex](3^3+3^2)^2\\= (3^5)^2[/tex]
The student added the exponents of 3³ and 3² and wrote 3⁵. This rule can only be applied to exponents with the same base that are being multiplied. 3³ and 3² were being added, not multiplied, so this rule can't be applied.
Error 2
[tex](3^5)^2\\= 3^7[/tex]
When a power has a power, we multiply them, not add. Here is the correct way of doing it:
[tex](3^5)^2\\= 3^5^*^2\\= 3^1^0[/tex]
Error 3
[tex]3^7\\= 21[/tex]
The student multiplied 3 and 7 to get 21, but 3⁷ actually means 3 multiplied by itself 7 times. The correct answer for this part would be 2187.
I hope this helps!
A hospital uses cobalt-60 in its radiotherapy treatments for cancer patients. Cobalt-60 has a half-life of 7
years. The hospital has 228 g of cobalt-60. Calculate the amount of colbalt-60 remaining after 18 months.
Round to two decimal places.
Answer:
We have 197 g of Co-60 after 18 months.
Step-by-step explanation:
We can use the decay equation.
[tex]M_{f}=M_{i}e^{-\lambda t}[/tex]
Where:
M(f) and M(i) are the final and initial mass respectivelyλ is the decay constant (ln(2)/t(1/2))t(1/2) is the half-life of Cot is the time at the final amount of m[tex]M_{f}=228e^{-\frac{ln(2)}{7} 1.5}[/tex]
[tex]M_{f}=197\: g[/tex]
Therefore, we have 197 g of Co-60 after 18 months.
I hope it helps you!
The function f(t) = 3 - t shows the cost of an ice cream sundae ($) with a different number of toppings (t). What is the slope of the function?
Answer:
-1
Step-by-step explanation:
are you sure this is the right equation ? it would mean that the more toppings the cheaper the ice cream.
but as it is written, the slope is -1.
the slope of a line is always the factor of the variable in the equation.
it is the ratio of y/x indicating how many units y is changing for a given change of x.
in our example here, if x changes 1 unit to the right (+1), then y changes 1 unit down (-1).
so, -1/+1 = -1
The slope of the function f(t) = 3 - t is -1
What is function?"It defines a relation between input and output values."
What is the slope of the function?"It is the rate of change of the dependent variable of the function with respect to that of the independent variable."
For given question,
We have been given a function f(t) = 3 - t
We need to find the slope of the function.
[tex]m=\frac{d}{dt}f(t)\\\\ m=\frac{d}{dt}( 3 - t)\\\\m=-1[/tex]
Therefore, the slope of the function f(t) = 3 - t is -1
Learn more about the slope of the function here:
https://brainly.com/question/9554035
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Will Mark brainlest help please please pease
Answer:
6
Step-by-step explanation:
I think I just answered that question.
"image" 7 means the functional result is 7, and we need to find the value of x to make this happen.
7 = (3x - 4)/2
14 = 3x - 4
18 = 3x
x = 6
4(1)+12(x+3)-6(x-5)=4(12)+4(x)
Answer:
x = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4(1) + 12(x + 3) - 6(x - 5) = 4(12) + 4(x)
Step 2: Solve for x
Simplify: 4 + 12(x + 3) - 6(x - 5) = 48 + 4x[Distributive Property] Distribute parenthesis: 4 + 12x + 36 - 6x + 30 = 48 + 4xCombine like terms: 6x + 70 = 48 + 4x[Subtraction Property of Equality] Subtract 4x on both sides: 2x + 70 = 48[Subtraction Property of Equality] Subtract 70 on both sides: 2x = -22[Division Property of Equality] Divide 2 on both sides: x = -11factorize: x² + 6x + 5-4y - y²
Answer:
below
Step-by-step explanation:
that is the procedure above
The factorized form of x² + 6x + 5 - 4y - y² is:(x + 1)(x + 5) - (4y + y²)
To factorize the expression x² + 6x + 5 - 4y - y², group the terms and factor them separately.
Rearranging the terms
(x² + 6x + 5) - (4y + y²)
Now let's factor each group separately:
1. Factoring x² + 6x + 5:
The quadratic expression x² + 6x + 5 can be factored into two binomial factors. We look for two numbers that multiply to give 5 and add up to 6 .
These numbers are 1 and 5:
(x + 1)(x + 5)
2. Factoring -4y - y²:
The terms -4y - y² have a common factor of -1.
Factoring out -1 gives
-1(4y + y²)
Combining the factorization of both groups
(x + 1)(x + 5) - 1(4y + y²)
Therefore, the factorized form is (x + 1)(x + 5) - (4y + y²).
Learn more about Factorization here:
https://brainly.com/question/31379856
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what is (x − 3)(x − 5) = 35
Answer:
x=10 x=-2
Step-by-step explanation:
(x − 3)(x − 5) = 35
FOIL
x^2 -5x-3x+15 = 35
Combine like terms
x^2 -8x+15 = 35
Subtract 35 from each side
x^2 -8x+15-35 = 35-35
x^2 -8x-20 =0
Factor
What 2 numbers multiply to -20 and add to -8
-10*2 = -20
-10 +2 = -8
(x-10)(x+2) =0
Using the zero product property
x-10 =0 x+2 = 0
x=10 x=-2
please help me with this
Answer:
200
Step-by-step explanation:
need some help with this
Answer:
y=4x-7
Step-by-step explanation:
here,
the equation of straight line in slope intercept form is;
y=mx+c
( m= slope
c= y-intercept )
soo..
the question has asked for slope 4 i.e. m=4
and y- intercept -7 i.e. c= -7
now.
the required equation is
y= 4x-7
mark me brainliest and follow me ... please
2/5(1/3x-15/8)-1/3(1/2-2/3x)
Answer:
[tex]\frac{16}{45}x-\frac{11}{12}[/tex]
Step-by-step explanation:
We are given that an expression
[tex]\frac{2}{5}(1/3x-15/8)-\frac{1}{3}(1/2-2/3x)[/tex]
We have to find the equivalent expression.
[tex]\frac{2}{5}(\frac{1}{3}x-\frac{15}{8})-\frac{1}{3}(\frac{1}{2}-\frac{2}{3}x)[/tex]
[tex]\frac{2}{5}\times \frac{1}{3}x-\frac{2}{5}\times \frac{15}{8}-\frac{1}{3}\times \frac{1}{2}-\frac{1}{3}\times (-\frac{2}{3}x)[/tex]
Using the the property
[tex]a\cdot (c-b)=a\cdot c-a\cdot b[/tex]
[tex]\frac{2}{5}(1/3x-15/8)-\frac{1}{3}(1/2-2/3x)[/tex]
[tex]=\frac{2}{15}x-\frac{3}{4}-\frac{1}{6}+\frac{2}{9}x[/tex]
[tex]=\frac{6x+10x}{45}+\frac{-9-2}{12}[/tex]
[tex]=\frac{16}{45}x-\frac{11}{12}[/tex]
[tex]\frac{2}{5}(1/3x-15/8)-\frac{1}{3}(1/2-2/3x)=\frac{16}{45}x-\frac{11}{12}[/tex]
Simplify 3x+(4x-3)
Pls :)
Answer:
7x - 3
Step-by-step explanation:
3x+(4x-3)
Remove parenthesis
3x + 4x - 3
Combine like terms
3x + 4x = 7x
7x - 3
Answer:
7x-3
Step-by-step explanation:
Removing the parantheses, we get 3x+4x-3. Adding like terms we get 7x-3.
7x-3.
Please help. I need it
Answer:
angle c = 32.204°
5.
MULTIPLE CHOICE: There are 15 pieces of fruit in a bowl and 6 of them are apples.
What percentage of the pieces of fruit in the bowl are apples?
a.
0.06%
b.
0.4%
C.
6%
d.
40%
Answer:
d
Step-by-step explanation:
alr, 15 fruits total, 6 are apples.
6/15 = 2/5
2/5 is also the same as 40% or 0.4, therefore the option is d.
go to gauthmath's sub reddit if needing more help ^^
8u^2- 42u^2
Help plzz
Answer:
- 34u^2
Step-by-step explanation:
8u^2 - 42u^2
= ( 8 - 42 )u^2
= - 34u^2
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{The only thing we can do to solve for this equation is to COMBINE}\\\large\textsf{the LIKE TERMS. }[/tex]
[tex]\mathsf{8u^2 - 42u^2}\\\mathsf{= (8u^2- 42u^2)}\\\mathsf{= 8 - 42 \rightarrow \bf -34}\\\textsf{Thus this means }\mathsf{8u^2 - 42u^2}\textsf{ has to equal to }\mathsf{ \bf -34u^2}\\\\\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf-34u} \mathsf{\bf ^2}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]
Do not round your answer. Type in the number with the decimal. 15% of 25 is
Answer:
to add on to what the other dude said its 4
Step-by-step explanation:
Four points, E, F, G, and H lie on the coordinate plane. Of the choices given, which two points have the longest
distance between them?
A. e and f
B. f and g
C. g and h
D. h and e
Answer:
D H and E i think .........
Is the data set "color of the coal taken from a rail car" quantitive or qualitative? If it is quantitative is it descents or continuous?
A quantitative , discrete
B quantitative continuous
C qualitative
D neither
Answer:
It's A.)
Step-by-step explanation:
97 percent of 245m what is the answer
Answer:
multiply them
Step-by-step explanation:
trust me on this one i love using that hack
